+ 0*r**2 + 0. Find b, given that l(b) = 0.
-7, 0
Let n(d) be the second derivative of -d**6/720 - d**5/80 - d**4/24 - d**3 + 6*d. Let m(i) be the second derivative of n(i). Factor m(a).
-(a + 1)*(a + 2)/2
Find t such that -t**4 + 5 + 3/2*t**3 + 33/2*t + 14*t**2 = 0.
-2, -1, -1/2, 5
Let j(i) be the second derivative of i**5/190 - 2*i**4/57 + i**3/57 + 6*i**2/19 - i - 33. Let j(c) = 0. What is c?
-1, 2, 3
Let o(h) be the first derivative of h**3/18 - 16*h**2 + 1536*h + 331. Factor o(l).
(l - 96)**2/6
Suppose -9*u**4 - 11*u**4 + 3*u**4 + 4*u**2 + 18*u**3 - 5*u**4 = 0. What is u?
-2/11, 0, 1
Let r be (-12)/(-15)*25/10. Suppose -8 = -3*n - h, h = -3*h + 8. What is a in 3*a**2 - a**n + 5*a**r + 8 - 12*a - 3*a**2 = 0?
1, 2
Let d(o) be the second derivative of 49*o**6/10 - 133*o**5/20 - 29*o**4/6 + 26*o**3/3 - 4*o**2 - 212*o. Solve d(r) = 0 for r.
-2/3, 2/7, 1
Factor 56*j + 3*j**2 - 19*j - 16*j.
3*j*(j + 7)
Suppose -6*s + 0*s = -126. Suppose -77*d - s = -84*d. Find g such that -7/2*g + g**4 + 1 - 25/8*g**d + 19/4*g**2 - 1/8*g**5 = 0.
1, 2
Let a(g) = -g**5 - g**4 - g**2 + g + 1. Let p(s) = -22*s**5 + 140*s**4 - 90*s**3 - 95*s**2 + 115*s - 37. Let b(v) = -20*a(v) - 4*p(v). Factor b(h).
4*(h - 4)*(h + 1)*(3*h - 2)**3
Suppose 10 + 2 = 4*f. Let y(m) be the first derivative of -5*m**3/3 + 3*m**2/2 - 6*m + 7. Let l(u) = -2*u**2 + u - 2. Let t(q) = f*y(q) - 8*l(q). Factor t(i).
(i - 1)*(i + 2)
Let a be 591/(-6) - (-18)/36. Let t = a + 98. Factor -4/7*x**2 + t*x**3 + 2/7 + 2/7*x**4 + 0*x.
2*(x - 1)**2*(x + 1)**2/7
Let m(y) = -58*y**2 - 32*y - 10. Let w(n) = 2*n**2 + 3*n + 3. Let q be w(-2). Let d(l) = 59*l**2 + 32*l + 9. Let a(s) = q*m(s) + 6*d(s). Factor a(z).
4*(4*z + 1)**2
Let u(p) = -p - 15. Let n be u(-15). Let i(t) be the first derivative of n*t - 3/7*t**2 + 2 + 2/21*t**3. Solve i(m) = 0 for m.
0, 3
Factor -g**5 - 402*g - 36*g**3 - 5*g**4 + 25*g**4 + 202*g + 200*g.
-g**3*(g - 18)*(g - 2)
Let a be 3 + (-7 - 0/(-5) - (-29)/5). Factor 11/5*h**3 + a*h**2 - 2/5*h + 0.
h*(h + 1)*(11*h - 2)/5
Factor 1/6*n**2 + 0 - 1/6*n.
n*(n - 1)/6
Let h(u) be the first derivative of -9/7*u**3 + 0*u - 6 - 3/7*u**2. Factor h(o).
-3*o*(9*o + 2)/7
Let y(d) = d**2 - 3*d - 41. Let p be y(8). Let o be 3 - p - (-2)/(-4)*7. Factor 3/2*j - o*j**2 - 1.
-(j - 2)*(j - 1)/2
Suppose -24*i + 22*i + 8 = 0. What is u in -165*u**2 - 31*u + 12*u - 15 + 105*u**3 - 20*u**i + 114*u = 0?
1/4, 1, 3
Let p be 1 - -4*(-13)/(-104). Suppose p*k - 1 - 1/2*k**2 = 0. Calculate k.
1, 2
Suppose -2*d - 4*p = -5*p - 33, -5*d + 78 = 2*p. Let j be 6/(-20)*(d/12)/(-1). What is z in -2/5*z**2 + 0 + j*z = 0?
0, 1
Suppose 2*p - 8 = l, 4*l - 9 - 7 = -4*p. Let q be 13/(-15) - (p - 5). Let 6/5*s + 2*s**2 + 0 + q*s**4 + 14/15*s**3 = 0. Calculate s.
-3, -1, 0
Let a(v) be the second derivative of -v**4/48 - 7*v**3/6 - 27*v**2/8 - 9*v - 5. Factor a(q).
-(q + 1)*(q + 27)/4
Let l be (6 - 6 - -4)*1. Let h(f) = f + 4. Let t be h(-4). What is i in 0*i + 3/5*i**3 - 4/5*i**l + 1/5*i**2 + t = 0?
-1/4, 0, 1
Let q(t) be the second derivative of t**6/60 + t**5/20 - 5*t**4/24 - t**3/2 - 31*t + 5. Factor q(a).
a*(a - 2)*(a + 1)*(a + 3)/2
Let q(u) = 2*u**2 - 2*u. Suppose 5 + 15 = 4*w. Let g(f) = -5*f**2 + 5*f. Let y(s) = w*q(s) + 3*g(s). Factor y(p).
-5*p*(p - 1)
Let -16 + 108*t**3 - 16*t + 104*t**3 + 4*t**2 - 208*t**3 = 0. Calculate t.
-2, -1, 2
Let k(f) be the second derivative of -f**5/10 + f**4/6 + f**3/3 - f**2 + 67*f. Solve k(s) = 0 for s.
-1, 1
Let u(g) be the second derivative of g**6/15 + 22*g**5/5 + 424*g. Factor u(j).
2*j**3*(j + 44)
Suppose 2*g - 4*g - 2 = 0, -5*a - 2*g = -18. Suppose -4*y + 65 = 9. Find s such that 17 + y + 3*s**a - 31 = 0.
0
Let f(y) be the first derivative of -y**3/4 + 39*y**2/4 + 42*y + 224. Solve f(o) = 0.
-2, 28
Let -108/5*h**2 - 3/5*h**4 - 33/5 + 102/5*h + 42/5*h**3 = 0. What is h?
1, 11
Let u(g) be the first derivative of -7 - 5/3*g**3 - 5*g - 5*g**2. Let u(l) = 0. What is l?
-1
Suppose -t + t = -20*t. Let r(w) be the second derivative of -1/2*w**5 - 7/3*w**3 - 1/15*w**6 - 2*w**2 - 4*w + t - 3/2*w**4. Factor r(x).
-2*(x + 1)**3*(x + 2)
Let o(x) be the first derivative of -x**4/20 + 2*x**3/15 + 2*x**2/5 - 8*x/5 + 312. Factor o(p).
-(p - 2)**2*(p + 2)/5
Factor -32*g**3 + 5*g + 105*g**2 + 2 - 57*g**2 + 2*g - 25*g.
-2*(g - 1)*(4*g - 1)**2
Let u = 2457/10 - 1221/5. Solve 0 + 0*g + u*g**4 + 0*g**2 + 3*g**3 = 0.
-2, 0
Let u(z) = z**2 - 4*z - 3. Let o be u(5). Find j, given that -2*j**o + j**5 - 3*j**5 + 1 + j**5 - j + 2*j**3 + j**4 + 0*j**2 = 0.
-1, 1
Let c = 305/532 - 11/76. Let 0 + 3/7*w - c*w**5 + 0*w**3 + 6/7*w**2 - 6/7*w**4 = 0. Calculate w.
-1, 0, 1
Let a(z) be the second derivative of -z**4/72 + z**3/12 + 241*z. Factor a(v).
-v*(v - 3)/6
Suppose -18 = -4*c - w, 5*c = 4*w - 4 + 37. Suppose c*i - 130 + 105 = 0. Find m such that -21/4*m**i + 0 - 1/2*m**2 + 0*m + 1/4*m**3 + 11/2*m**4 = 0.
-2/7, 0, 1/3, 1
Solve 0 + 3/5*d**3 + 12/5*d**2 + 12/5*d = 0.
-2, 0
Let j(i) = 46*i**2 + 142*i - 43. Let l(b) = 22*b**2 + 70*b - 21. Let g(d) = -3*j(d) + 5*l(d). Factor g(s).
-4*(s + 3)*(7*s - 2)
Let f(m) = m**3 - 6*m**2 - 7*m - 69. Let d be f(8). Let p(q) be the first derivative of 0*q + 1/6*q**2 - 1/9*q**d + 4. Solve p(t) = 0.
0, 1
Find v, given that 0*v + 0 + 10/3*v**3 - 11/3*v**2 + 1/3*v**4 = 0.
-11, 0, 1
Let n = -129165/13 + 9937. Determine p, given that 32/13 + n*p + 2/13*p**2 = 0.
-4
Factor 6*u**4 - 12*u**3 - 4*u**5 + 4*u**2 - 3*u**4 + 9*u**4.
-4*u**2*(u - 1)**3
Let k(t) be the first derivative of t**6/6 - 3*t**5/5 + t**4/4 + t**3 - t**2 - 650. Factor k(w).
w*(w - 2)*(w - 1)**2*(w + 1)
Let s(q) be the first derivative of q**8/3360 + q**7/560 + 5*q**3 - 6. Let o(j) be the third derivative of s(j). Factor o(f).
f**3*(f + 3)/2
Let w(x) be the second derivative of 12*x**5/5 - 13*x**4/3 - 46*x**3/3 + 4*x**2 - 100*x. Suppose w(i) = 0. Calculate i.
-1, 1/12, 2
Let q = 9565 - 9563. Suppose 1/3*w**q + 2/3*w + 1/3 = 0. What is w?
-1
Let h = -225 + 227. Let b(k) be the first derivative of 0*k**h - 8 + 1/36*k**4 + 0*k + 1/27*k**3. Factor b(y).
y**2*(y + 1)/9
Let p(g) be the first derivative of -5/3*g**3 - 405*g + 45*g**2 + 27. Suppose p(h) = 0. What is h?
9
Factor 12/7*h + 0 - 3/7*h**2.
-3*h*(h - 4)/7
Let r(p) = -p**3 + 52*p**2 - 54*p + 155. Let c be r(51). Factor -2/17*k**4 + 0*k + 0 + 4/17*k**3 - 2/17*k**c.
-2*k**2*(k - 1)**2/17
Let h = 19/11 - 53/88. Let r(z) be the second derivative of 0 - 2*z + h*z**4 + 3/4*z**2 + 3/2*z**3. Factor r(t).
3*(3*t + 1)**2/2
Let q(c) be the second derivative of c**6/30 + 3*c**5/20 - 3*c**4/4 - 9*c**3/2 - c - 41. Find k such that q(k) = 0.
-3, 0, 3
Let r(t) be the third derivative of -t**7/245 + 29*t**6/420 + 43*t**5/210 + 11*t**4/84 + 64*t**2. Solve r(a) = 0.
-1, -1/3, 0, 11
Let g = -2220 - -26641/12. Let y(v) be the second derivative of 1/14*v**7 + 1/3*v**3 + 0 - 1/30*v**6 - 1/4*v**5 + 0*v**2 - 3*v + g*v**4. Factor y(n).
n*(n - 1)**2*(n + 1)*(3*n + 2)
Let x(h) be the first derivative of h**6/90 + h**5/30 - h**4/3 + 9*h**3 + 10. Let o(v) be the third derivative of x(v). What is a in o(a) = 0?
-2, 1
Let o(g) be the third derivative of -g**6/200 + 9*g**5/100 - 23*g**4/40 + 3*g**3/2 - 318*g**2. Find i such that o(i) = 0.
1, 3, 5
Let t be (-4)/78 - (-15364)/45591. Let a = 5 + -3. Factor -2/7*s**3 + 0 + 0*s - t*s**a.
-2*s**2*(s + 1)/7
Suppose -4*t + 7*t - 6 = 0. Let s = 6 - 4. Factor 25*q - 27*q + s*q**3 - q**2 + q**t.
2*q*(q - 1)*(q + 1)
Let p(x) = x**2 + 12*x - 82. Let k be p(5). Solve -1/2*b + 2*b**2 - 1/3 - 7/6*b**k = 0.
-2/7, 1
Let v(j) be the second derivative of 3*j**5/20 + 3*j**4/4 - 36*j**3 + 264*j**2 - 29*j. Factor v(o).
3*(o - 4)**2*(o + 11)
Factor 1/2*u**3 + 15/2*u**4 + 0*u**2 + 0 + 0*u.
u**3*(15*u + 1)/2
Suppose 6*x - 5*x = 5*h + 14, -5*h = 4*x - 81. Determine y, given that -168*y**4 + 232*y**3 + 12*y - 128*y**2 + 8 + 2*y**5 + 23*y**5 + x*y**5 = 0.
-2/11, 1
Let g = 23641 + -165479/7. Factor 1/7*q**2 + g*q + 1.
(q + 1)*(q + 7)/7
Let u(i) = -5*i - 12. Let y be u(-3). Suppose -14 = -2*z - 4*d, 0 = -y*z + 5*d + 3 - 4. Let -1/3*m**z + 2*m**2 - 4*m + 8/3 = 0. Calculate m.
2
Let o(w) be the third derivative of -w**5/12 - 25*w**4/24 + 14*w**3/3 + 29*w**2. Let u(n) = -60*n**2 - 300*n + 335. Let m(a) = 25*o(a) - 2*u(a). Factor m(h).
-5*(h - 1)*(h + 6)
Factor -34*s**2 - 1790 + 108 + 15*s + 18