 Let o(m) = 6*m**2 - 2*m - 2. Suppose 0 = -7*q + 6*q - 1. Let w(a) = q*o(a) - 2*y(a). Let w(t) = 0. What is t?
0, 1
Let h(x) be the second derivative of -6*x**2 - 1/4*x**4 + 4*x + 0 - 2*x**3. Factor h(y).
-3*(y + 2)**2
Suppose 10*g + 5*g**3 - 40*g**2 + 84*g**2 - 29*g**2 = 0. What is g?
-2, -1, 0
Let h = 427/507 - 3/338. Let g(r) be the first derivative of -7/3*r**2 - 2*r**3 + 8 - 2/15*r**5 - h*r**4 - 4/3*r. Factor g(m).
-2*(m + 1)**3*(m + 2)/3
Let u(l) be the second derivative of -l**4/12 - 7*l**3/6 + 15*l**2 + 9*l + 3. Determine s so that u(s) = 0.
-10, 3
Let h be (-5 - -10)/((840/16)/21). Solve 3/2 + h*a + 1/2*a**2 = 0 for a.
-3, -1
Let w(j) be the second derivative of -j**5/4 - 25*j**4/12 + 15*j**3/2 + 225*j**2/2 + 21*j + 9. What is x in w(x) = 0?
-5, -3, 3
Let a(l) be the second derivative of 0 - 1/6*l**4 + 0*l**2 - 24*l + 0*l**3. Factor a(p).
-2*p**2
Let f(a) be the first derivative of 2*a**6/3 + 28*a**5/5 + 19*a**4 + 100*a**3/3 + 32*a**2 + 16*a - 128. Suppose f(b) = 0. Calculate b.
-2, -1
Let y be -11 - 2*(5 - 4). Let x = -13 - y. Factor 0*r + x - 2/9*r**4 - 2/9*r**5 + 2/9*r**3 + 2/9*r**2.
-2*r**2*(r - 1)*(r + 1)**2/9
Let r(t) be the first derivative of -24 - 1/12*t**3 + 1/16*t**4 - t**2 + 3*t. Let r(s) = 0. Calculate s.
-3, 2
Let p(m) be the first derivative of 4*m**5/35 + 24*m**4/7 + 472*m**3/21 - 624*m**2/7 + 676*m/7 + 103. What is i in p(i) = 0?
-13, 1
Let h(q) be the second derivative of 2*q**4/3 + q**3/3 - 5*q**2 - 13*q. Let d(w) = -w**3 - 41*w**2 - 11*w + 51. Let p(i) = 2*d(i) + 11*h(i). Factor p(y).
-2*(y - 2)**2*(y + 1)
Let i(o) = -o**2 + 16*o - 53. Let q be i(5). Let w(r) be the first derivative of 2*r**3 + 5 + 0*r - 21/4*r**4 + 3/2*r**q + 12/5*r**5. Factor w(d).
3*d*(d - 1)**2*(4*d + 1)
Find h such that 2*h**3 - 2*h - 2/7*h**4 - 10/7*h**2 + 12/7 = 0.
-1, 1, 6
Let m(v) be the first derivative of -2*v**5/15 - v**4/6 + 2*v**3/9 + v**2/3 - 148. What is p in m(p) = 0?
-1, 0, 1
Suppose 5*w + 26 = 6. Let o(c) = c - 5 - 2*c**4 - c + 7*c**2. Let k(f) = -2*f**4 + 6*f**2 - 4. Let z(r) = w*o(r) + 5*k(r). Solve z(b) = 0 for b.
-1, 0, 1
Suppose 5*v - 34 = -5*x + 6, 0 = -2*v + 4*x - 14. Let g be (v - -2) + -2 + -1. Determine b, given that 2 + 2*b + g*b + 0 - 6 - b**2 = 0.
2
Find g such that 27821*g + 2*g**2 + 32 - 88 - 27815*g = 0.
-7, 4
Suppose -n + 19*r - 32 = 98, -n + 31 = 4*r. Factor -6/5 + i - 3/5*i**n + 8/5*i**2.
-(i - 3)*(i + 1)*(3*i - 2)/5
Let a = 22 - 32. Let k be 5/(-18)*2*a/25. Determine s so that -4/9 - k*s**2 - 2/3*s = 0.
-2, -1
Let b be ((-2)/(-8))/((-303)/(-10908)). Solve -b*y - 36*y**4 - 39*y**2 + 0 - 27/4*y**5 - 237/4*y**3 = 0 for y.
-3, -1, -2/3, 0
Factor -577*p + 96 - 92*p**2 - 4*p**4 - 100*p**3 + 273*p + 404*p.
-4*(p - 1)*(p + 1)**2*(p + 24)
Let y be 37/(-42) + (-24)/84. Let m = y + 11/6. Factor -2/3*d**3 - 4/3*d**2 + 4/3 + m*d.
-2*(d - 1)*(d + 1)*(d + 2)/3
Let w(t) be the first derivative of -t**7/42 + t**6/24 + t**5/12 - 5*t**4/24 - 5*t**2/2 - 2. Let x(m) be the second derivative of w(m). Factor x(c).
-5*c*(c - 1)**2*(c + 1)
Let w(b) = 2*b**3 + 2*b**2 - b. Let x(z) = 9*z**3 + 53*z**2 - 445*z - 484. Let c(y) = 20*w(y) - 4*x(y). Factor c(j).
4*(j - 22)**2*(j + 1)
Let d(c) be the third derivative of -c**6/60 + 7*c**5/6 + 3*c**4 - 12*c**2 - 3*c. Determine i, given that d(i) = 0.
-1, 0, 36
Let i(u) be the third derivative of -u**7/735 - u**6/105 + u**5/210 + u**4/21 + u**2 + 1. Determine p, given that i(p) = 0.
-4, -1, 0, 1
Let i = 415 - 413. Let s(a) be the second derivative of 1/8*a**3 + 0*a**2 + i*a + 0 + 1/48*a**4. Factor s(w).
w*(w + 3)/4
Suppose -14*w + 120 = 26*w - 0*w. Factor 3/8*m**2 + 0 + 0*m + 9/8*m**4 + 3/2*m**w.
3*m**2*(m + 1)*(3*m + 1)/8
Let t(b) be the first derivative of b**4 + 8*b**3/3 - 30*b**2 - 144*b - 87. Suppose t(r) = 0. What is r?
-3, 4
Factor -2*w + 72/5 - 2/5*w**2.
-2*(w - 4)*(w + 9)/5
Let h(m) = 3*m - 13. Let n be h(6). Suppose n*l**2 - 34 + 15*l + 24 + 20 = 0. Calculate l.
-2, -1
Suppose -214 = 5*g - 214. Let b(j) be the second derivative of 9/20*j**5 + 0*j**2 + 1/2*j**4 + 1/10*j**6 + g + 5*j + 0*j**3. Factor b(q).
3*q**2*(q + 1)*(q + 2)
Let x(p) = -p**5 + 2*p**3 + 5*p**2 - 4*p. Let k(t) = 2*t**4 - t**3 + t**2. Let i(c) = -k(c) + x(c). Factor i(w).
-w*(w - 1)**2*(w + 2)**2
Let s(c) = -c**2 - 5*c - 8. Let k be s(-5). Let x be 4/k + (-42)/(-12). Suppose 5/4*y**4 - 5/4*y - 5/4*y**2 + 0 + 5/4*y**x = 0. What is y?
-1, 0, 1
Let s be 80/15 + 2/(-6). Let k(q) = -2*q**2 - 3. Let r(g) = -1. Let n(y) = s*r(y) - k(y). Factor n(h).
2*(h - 1)*(h + 1)
Let l(b) be the second derivative of -b**6/480 - b**5/80 - b**4/48 - 8*b**2 + 14*b. Let k(h) be the first derivative of l(h). Factor k(p).
-p*(p + 1)*(p + 2)/4
Let x(k) be the third derivative of k**7/1575 - k**6/180 + 7*k**5/450 - k**4/60 - 7*k**2 + 5. Find q, given that x(q) = 0.
0, 1, 3
Let o(s) be the third derivative of s**8/840 - s**7/525 - s**6/50 + 7*s**5/75 - 11*s**4/60 + s**3/5 - 56*s**2. Let o(z) = 0. Calculate z.
-3, 1
Suppose 10/17 + 22/17*c + 4/17*c**2 - 2/17*c**5 - 14/17*c**4 - 20/17*c**3 = 0. What is c?
-5, -1, 1
Let i(c) be the third derivative of c**8/70560 - c**7/5040 + c**6/1680 - 3*c**5/20 + 4*c**2. Let w(h) be the third derivative of i(h). Factor w(j).
(j - 3)*(2*j - 1)/7
What is j in 3/4*j**2 - 45/4*j - 12 = 0?
-1, 16
Let n(b) = -b**2 + b - 2. Let y(j) = 2*j**2 - 7*j + 10. Let g(h) = -2*n(h) - 2*y(h). Let g(o) = 0. Calculate o.
2, 4
Let s = 658/71 + -1832/213. Solve -2/3*t**3 + s*t**2 - t**4 - 1/3*t**5 + t + 1/3 = 0 for t.
-1, 1
Let h = 1745 - 1745. Let q(s) be the first derivative of 0*s**2 - 2/15*s**5 - 1/6*s**4 + 2/9*s**3 + h*s + 1/9*s**6 + 10. Factor q(c).
2*c**2*(c - 1)**2*(c + 1)/3
Let b = 20 + -16. Factor -3*x + 3*x**2 - 2*x**4 + 23*x - 8 + 6*x**b - 4*x**3 - 15*x**2.
4*(x - 1)**3*(x + 2)
Let g = -12 - -16. Let z be (3 - g)*8/(-4). Find f, given that 0*f**z + 4*f**2 + 3*f**3 + 3*f**3 - 4*f**3 = 0.
-2, 0
Let z(t) be the third derivative of 0 + 2*t**2 + 0*t**3 + 0*t**4 + 0*t + 2/75*t**5 + 3/50*t**6. Let z(a) = 0. What is a?
-2/9, 0
Let v be 1472/224 - 8/14. Let l(d) be the third derivative of 0*d + 1/30*d**5 + 1/120*d**v + 1/24*d**4 + 0*d**3 + 0 - 3*d**2. Factor l(i).
i*(i + 1)**2
Let -1/2*j**2 - j + 2 + 1/4*j**3 = 0. Calculate j.
-2, 2
Let i(b) = -4*b**5 - 16*b**4 - 20*b**3 + 22*b**2 + 6*b - 6. Let s(t) = t**5 + t**4 + t**3 - 2*t**2 + t + 1. Let f(c) = -i(c) - 6*s(c). What is z in f(z) = 0?
-1, 0, 1, 6
Let q(j) = -36*j**2 + 961*j - 9014. Let w(v) = 7*v**2 - 192*v + 1803. Let o(r) = -2*q(r) - 11*w(r). Determine i so that o(i) = 0.
19
Let f = -12 + 16. Suppose 40 = 5*v + 2*n, 44 = 2*v + 2*v + f*n. Factor -3*y**5 - y**2 + y**5 - v*y**4 - 8*y**3 - y**2 + 2*y**3.
-2*y**2*(y + 1)**3
Let n(c) be the second derivative of c**5/5 + 14*c**4 + 104*c**3 + 304*c**2 + 591*c. Let n(q) = 0. What is q?
-38, -2
Suppose -120 = -11*k + 34. Let i be 4/k - (-28)/(-98). Find u such that 1/5*u**4 + 0 + 0*u + i*u**2 - 1/5*u**3 = 0.
0, 1
Let c(f) be the third derivative of -f**7/70 + f**6/5 + f**5/20 - 17*f**4/2 + 42*f**3 - 3*f**2 + 6*f. Factor c(l).
-3*(l - 7)*(l - 2)**2*(l + 3)
Suppose -3*c + 17 = -2*v, -1 = v + 3. Determine w so that -2*w**4 - 5*w**3 + 4*w**c - 3*w**5 + 2*w**5 = 0.
-1, 0
Let m(g) = -3*g + 10. Let u(p) = -p + 5. Let w(k) = -3*m(k) + 7*u(k). Let b be w(0). Factor -16*n**2 - 4*n**b - 6*n**3 - 15*n**2 + 32*n**2 + 9*n**4.
-n**2*(n - 1)**2*(4*n - 1)
Let c(f) be the second derivative of 1/42*f**7 + 17*f + 1/2*f**3 + 0 + 0*f**6 - 1/5*f**5 + 1/6*f**4 - f**2. Factor c(g).
(g - 1)**3*(g + 1)*(g + 2)
Let y(j) be the third derivative of -j**5/180 + j**4/36 + j**3/6 - 12*j**2 - 2. Suppose y(z) = 0. Calculate z.
-1, 3
Let d(t) be the second derivative of -t**7/840 - t**6/240 + 3*t**5/20 + 5*t**4/3 - 26*t. Let n(f) be the third derivative of d(f). Find a such that n(a) = 0.
-3, 2
Let 748*k**3 - 1090*k**3 - 8 - 1116*k**3 + 208*k - 1242*k**2 = 0. What is k?
-1, 2/27
Let p = -214 - -214. Let x be 18/(-4)*(-2 + -2). Find n, given that p + 3*n**2 + 15*n**2 + 3 - x*n + 9*n**2 = 0.
1/3
Let -4356*j - 280*j**3 - 52*j**3 - 4092*j**2 - 4*j**4 + 592*j**3 = 0. What is j?
-1, 0, 33
Let f(z) = -10*z**2 + 206*z**3 - 2*z + 3 + 10*z - 202*z**3. Let y(k) = 4*k**3 - 11*k**2 + 8*k + 3. Let w(m) = -4*f(m) + 5*y(m). Factor w(d).
(d - 3)*(d - 1)*(4*d + 1)
Let t(s) = 8*s - 5. Let