 0 + m*b**2 + 10/7*b**4 + 4/7*b = 0. What is b?
-2, -1, 0
Suppose 12*r**2 + 29*r + 8*r**2 + 23*r + 263 - 4*r**3 - 235 = 0. What is r?
-1, 7
Let m(h) = 3*h**2 + 23*h - 4. Let i(o) = -4*o**2 - 20*o + 6. Let j(b) = 2*i(b) + 3*m(b). Find v such that j(v) = 0.
-29, 0
Let n be (-10)/(-3) - (-4)/(-12). Find j, given that j + 2*j + j**4 - j + j**2 - 5*j + 3*j**n - 2 = 0.
-2, -1, 1
Let o(t) be the first derivative of 3/4*t**2 - t**3 + 3/2*t - 6. Factor o(i).
-3*(i - 1)*(2*i + 1)/2
Suppose -3*d - 3*k = -15, -3*k + 0 + 3 = -3*d. Suppose 0 = -5*s - d*y - 3 + 27, 18 = 3*s + 3*y. Factor -3*b + 36 - 25*b + s*b + 4*b**2.
4*(b - 3)**2
Let x(z) be the third derivative of z**6/1020 + z**5/6 + 167*z**4/204 + 83*z**3/51 - 42*z**2. Factor x(o).
2*(o + 1)**2*(o + 83)/17
Let h = 18/47 + 156/329. Let y = 5441/7 + -777. Let 2/7*a**2 - 4/7 + y*a**4 + 6/7*a - h*a**3 = 0. What is a?
-1, 1, 2
Let i be 72/42*14/4. What is z in 0 - 3/2*z**2 - i*z = 0?
-4, 0
Let s be ((18/40)/3)/(282/470). Let 1/4*v**2 - 1/4*v**3 + s*v - 1/4 = 0. What is v?
-1, 1
Let c(k) be the first derivative of -1/15*k**2 + 16 - 2/15*k + 2/45*k**3 + 1/30*k**4. Solve c(j) = 0.
-1, 1
Let c(k) be the third derivative of 9/8*k**4 - 18*k**2 - 1/20*k**5 - 4*k**3 + 0*k + 0. Factor c(x).
-3*(x - 8)*(x - 1)
Let g(o) = o**3 + 16 - 37 + 3*o + 5*o**2 + 16. Let w(n) = n**3 + n**2 + n - 1. Let j(q) = -g(q) + 2*w(q). Let j(c) = 0. Calculate c.
-1, 1, 3
Let u(m) be the first derivative of 0*m + 1/4*m**4 - 1/15*m**5 + 10 + 0*m**2 + 4/9*m**3. Factor u(y).
-y**2*(y - 4)*(y + 1)/3
Let g(u) = -8*u**3 - 3 + 6*u - 4*u**2 - 2 + u + 2*u. Let b(y) = 4*y**3 + 2*y**2 - 5*y + 3. Let v be 2*(3 + -4) + -3. Let q(d) = v*b(d) - 3*g(d). Factor q(h).
2*h*(h + 1)*(2*h - 1)
Let d(n) be the first derivative of -2*n**3/9 + 67*n**2/3 + 136*n/3 + 360. Factor d(t).
-2*(t - 68)*(t + 1)/3
Let s(v) = -10*v**3 + 290*v**2 + 538*v + 247. Let n(w) = -2*w**3 + 72*w**2 + 134*w + 62. Let d(y) = 9*n(y) - 2*s(y). Find m such that d(m) = 0.
-32, -1
Let j(z) be the second derivative of z**4/60 + 9*z**3/10 - 14*z**2/5 - z - 3. Suppose j(p) = 0. What is p?
-28, 1
Let y be 5 - 0 - (-10731)/(-15). Let d = -708 - y. Factor 3*x - 3/5*x**2 - d.
-3*(x - 4)*(x - 1)/5
Let v(p) be the third derivative of p**8/24 - 11*p**7/525 - 23*p**6/30 - 74*p**5/75 - 2*p**4/5 - 6*p**2 - 9*p. Solve v(n) = 0.
-2, -2/5, -2/7, 0, 3
Suppose -5*j + 142 = -4*o, 5*j - 5*o + 63 = 8*j. Suppose 3*x + 17 = j. Solve -2/3*h**2 + 2/3*h**4 + 2/3*h + 0 - 2/3*h**x = 0.
-1, 0, 1
Let n(s) be the second derivative of -s**4/8 + 15*s**3/4 + 51*s**2/2 - s + 73. Determine h, given that n(h) = 0.
-2, 17
Let w(s) be the second derivative of s**5/100 + s**4/20 - 13*s**3/30 - 3*s**2/2 + 438*s. Factor w(o).
(o - 3)*(o + 1)*(o + 5)/5
Factor -2368/13*k - 1536/13 + 314/13*k**2 - 10/13*k**3.
-2*(k - 16)**2*(5*k + 3)/13
Let c(t) be the first derivative of 5/6*t**3 + 4 + 0*t - 25/16*t**4 - 5/24*t**6 + 0*t**2 + t**5. Factor c(u).
-5*u**2*(u - 2)*(u - 1)**2/4
Let c be 321/15 - (-2)/(-5). Factor 13 - c + 7*h**3 + 26*h**2 + 10*h + 10*h.
(h + 2)**2*(7*h - 2)
Let v(o) be the third derivative of 0*o**3 + 0*o - 32*o**2 - 1/60*o**5 - 1/24*o**4 + 1/480*o**6 + 0 + 1/840*o**7. Let v(k) = 0. What is k?
-2, -1, 0, 2
Let s(w) be the second derivative of -1/36*w**4 + 1/9*w**3 + 2 + 1/126*w**7 - 1/20*w**5 + 1/90*w**6 + 4*w + 0*w**2. Suppose s(c) = 0. Calculate c.
-2, -1, 0, 1
Let o(c) = -12*c**2 + c - 5. Let x be o(-2). Let t be (-22)/x*(-2)/(-4). Factor 0*i + 0 + 0*i**2 - 2/5*i**3 + t*i**4.
i**3*(i - 2)/5
Let x(f) be the second derivative of -5*f**5/12 + 5*f**4/4 + 20*f**3/3 - 3*f**2/2 + 10*f. Let v(p) be the first derivative of x(p). Solve v(j) = 0.
-4/5, 2
Let g = -1462 + 1464. Let l(m) be the first derivative of 0*m + 0*m**g + 6 - 1/6*m**3. Factor l(t).
-t**2/2
Let x = 252254/105 - 16816/7. Factor -56/15*p - 392/15 - x*p**2.
-2*(p + 14)**2/15
Let w(k) be the third derivative of -k**7/5460 + k**5/780 - 3*k**3 + 4*k**2. Let x(p) be the first derivative of w(p). Factor x(f).
-2*f*(f - 1)*(f + 1)/13
Suppose -2*l = -10, 4*l = -t + 40 - 12. Suppose -t*j = -7*j. Factor -1/4*s**5 + 0*s**3 + 0*s + 1/4*s**4 + 0 + j*s**2.
-s**4*(s - 1)/4
Factor 1/4*w**4 + 2*w + 3*w**2 + 3/2*w**3 + 0.
w*(w + 2)**3/4
Let i(d) be the second derivative of d**4/54 + 106*d**3/27 + 2809*d**2/9 - 5*d + 17. What is z in i(z) = 0?
-53
Let x = 6685 + -6685. Factor -5/4*s**5 + 0*s**2 + 0 + 0*s**4 + x*s + 0*s**3.
-5*s**5/4
Let j(m) be the second derivative of -2/7*m**2 - 1/21*m**4 + 4/21*m**3 + 13*m + 0. Factor j(i).
-4*(i - 1)**2/7
Let v(l) be the third derivative of l**8/560 + l**7/280 - l**6/120 - l**5/40 + l**3/3 + 2*l**2. Let a(o) be the first derivative of v(o). Factor a(r).
3*r*(r - 1)*(r + 1)**2
Let n = 888 - 2662/3. Let m(w) be the second derivative of 0 - n*w**3 + 3/2*w**2 - 8*w + 1/12*w**4. Factor m(a).
(a - 3)*(a - 1)
Let v = -1244 + 1244. Let w(z) be the second derivative of 0 + v*z**2 + 1/90*z**4 - 1/45*z**3 + 10*z. Suppose w(d) = 0. Calculate d.
0, 1
Factor 0*c + 2/5*c**3 + 0 + 2*c**2.
2*c**2*(c + 5)/5
Factor -2*k**4 - 2*k**5 + 7*k**3 + 78*k**2 - 3*k**3 - 126*k**2 + 48*k**2.
-2*k**3*(k - 1)*(k + 2)
Factor 1/2*v + 5/6*v**4 - 7/6*v**2 + 1/3 - 1/2*v**3.
(v - 1)**2*(v + 1)*(5*v + 2)/6
Let s = 57 - 44. Suppose s*l = 16 + 10. Factor 2/9*o**3 + 2/9*o + 0 + 4/9*o**l.
2*o*(o + 1)**2/9
Let l(v) be the third derivative of 9*v**2 + 0*v**5 + 1/6*v**4 - 1/30*v**6 + 0*v + 0 + 0*v**3. Factor l(d).
-4*d*(d - 1)*(d + 1)
Let q(a) be the third derivative of -a**7/210 + a**6/60 + a**5/20 - a**4/3 + 2*a**3/3 - 2*a**2 - 45*a. Suppose q(x) = 0. What is x?
-2, 1, 2
Let a(m) be the second derivative of -m**5/20 + 23*m**4/12 - 26*m. Determine h, given that a(h) = 0.
0, 23
Let a(z) = 2*z**3 - 200*z**2 + 5015*z. Let f(v) = v**3 - 100*v**2 + 2509*v. Let m(t) = -3*a(t) + 5*f(t). Find h such that m(h) = 0.
0, 50
Let p(i) = -113*i + 1360. Let j be p(12). What is c in 4/3*c + 0*c**j + 0 + 1/3*c**5 + 0*c**2 - 5/3*c**3 = 0?
-2, -1, 0, 1, 2
Let l be 3/(-6) - 10/(-4). Let a = -5371 + 5371. Factor 1/2*s + a + 1/2*s**l.
s*(s + 1)/2
Suppose -13*c + 17*c = 184. What is i in c*i**2 - 2*i - 23*i**2 - 24*i**2 = 0?
-2, 0
Let s(h) = 2*h**2 + 22*h + 27. Let z be s(-14). Let u = z - 97. Factor 0 + 0*r + 4/5*r**2 - 34/5*r**3 + u*r**4.
2*r**2*(5*r - 1)*(7*r - 2)/5
Let j be (-30)/(-7) + (-18)/63. Solve -4*z**4 + 3*z**j - 9 + 6*z - 2*z**4 - 3*z**3 - 3*z**3 + 12*z**2 = 0 for z.
-3, -1, 1
Let i(h) be the second derivative of -1/10*h**6 + 0 - 2*h**3 + 8*h + 3/20*h**5 - 12*h**2 + 3/2*h**4. Find k, given that i(k) = 0.
-2, -1, 2
Let y(s) be the first derivative of -20/3*s**3 + 5/2*s**6 + 0*s**2 + 20*s**4 - 13*s**5 + 0*s + 18. Factor y(n).
5*n**2*(n - 2)**2*(3*n - 1)
Factor -177/4 + 45*c - 3/4*c**2.
-3*(c - 59)*(c - 1)/4
Let b(j) be the second derivative of j**6/40 + j**5/5 + 5*j**4/8 + j**3 + 17*j**2/2 - 7*j. Let l(k) be the first derivative of b(k). Factor l(s).
3*(s + 1)**2*(s + 2)
Let z(x) be the second derivative of 0 - 3*x + 0*x**3 - 1/15*x**5 - 1/6*x**4 + 1/3*x**2. What is p in z(p) = 0?
-1, 1/2
Suppose -20*n**4 + 7*n**4 + 17*n**4 - n**5 = 0. Calculate n.
0, 4
Factor -k**3 + 205*k**4 + 11*k**3 - 200*k**4 + 5*k**2.
5*k**2*(k + 1)**2
Let p = -772 - -774. Let b(n) be the second derivative of 1/12*n**4 + n**3 + 0 + 9/2*n**p + 7*n. Suppose b(s) = 0. Calculate s.
-3
Let y(f) be the first derivative of -1/2*f**3 + 9/8*f**4 + 36 + 0*f + 3/10*f**5 - 9/4*f**2. Let y(i) = 0. Calculate i.
-3, -1, 0, 1
Let m be 9/15 - (-8 + 327/45). Factor 8/3*j + 4/3 + m*j**2.
4*(j + 1)**2/3
Let d(q) be the second derivative of -q**5/180 + q**4/36 - q**2 + 11*q. Let s(b) be the first derivative of d(b). What is t in s(t) = 0?
0, 2
Let k(i) = -i**4 - i**3 + 2*i**2 + i - 1. Let r(t) = -6*t**4 - 3*t**3 + 20*t**2 + 11*t - 6. Let g(l) = -35*k(l) + 5*r(l). Factor g(d).
5*(d + 1)**4
Let b(s) = -6*s - 6. Let y be b(-9). Factor 3*r**2 - 13*r**2 - 13*r**2 - r**2 - 3*r**3 - y*r.
-3*r*(r + 4)**2
Let l(s) = 2*s**3 - 38*s**2 + 6*s. Let n(k) = 6*k**3 - 115*k**2 + 17*k. Let f(c) = -17*l(c) + 6*n(c). Suppose f(o) = 0. Calculate o.
0, 22
Factor -2/9*j**3 - 96*j + 8*j**2 + 384.
-2*(j - 12)**3/9
Let l be (-8)/1 - -2 - 72/(-12). Factor 3/5*h**3 - 9/5*h**2 + 0 + l*h.
3*h**2*(h - 3)/5
Find p such that 5/2*p**2 + 0 - 1/2*p**4 + 0*p - 2*p**3 = 0.
-5, 0, 1
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