0.
-1, 0, 1
Let m be 69/2*4/3. Let y be (-4)/14 + m/14. Factor y*o + 4*o**2 - 6*o**2 - o.
-2*o*(o - 1)
Let x be (4/7)/((-52)/28 - -2). Factor -2/9*b + 0 + 2/9*b**3 - 2/9*b**x + 2/9*b**2.
-2*b*(b - 1)**2*(b + 1)/9
Let h(f) be the second derivative of 0*f**2 + 1/36*f**4 - 4*f + 0*f**3 + 0. Factor h(g).
g**2/3
Suppose 2 = 2*z + 8. Let w(k) = -2*k**2 + 4*k + 10. Let c(i) = -2*i**2 + 3*i + 11. Let t(y) = z*w(y) + 2*c(y). What is h in t(h) = 0?
-1, 4
Let y(c) be the second derivative of c**8/3360 + c**7/560 + c**6/240 + c**5/240 + c**3/6 + c. Let q(z) be the second derivative of y(z). Factor q(h).
h*(h + 1)**3/2
Let g(z) be the first derivative of 2*z**5/5 + z**4/4 - 2*z**3/3 - z**2/2 - 6. Factor g(j).
j*(j - 1)*(j + 1)*(2*j + 1)
Factor -27 + 36*a + 3/4*a**3 - 39/4*a**2.
3*(a - 6)**2*(a - 1)/4
Let i be 1/(-3) - (-143)/195. Let g(f) be the first derivative of 0*f**3 + i*f**5 + 0*f**4 + 0*f + 1 + 1/3*f**6 + 0*f**2. Factor g(x).
2*x**4*(x + 1)
Let f(p) = p**2 - p. Let b be f(0). Let k = -38 - -40. Find x, given that -8/5 + b*x + 6/5*x**k + 2/5*x**3 = 0.
-2, 1
Let w(q) = q**4 - 29*q**3 - 31*q**2 + 25*q + 26. Let f(j) = 30*j**3 + 30*j**2 - 25*j - 25. Let r(n) = 4*f(n) + 5*w(n). Factor r(b).
5*(b - 6)*(b - 1)*(b + 1)**2
Let t(u) be the first derivative of u**7/5460 - u**6/2340 - u**5/390 - u**3/3 + 7. Let n(k) be the third derivative of t(k). Suppose n(o) = 0. What is o?
-1, 0, 2
Let i(u) be the third derivative of -u**6/30 + u**4/2 - 4*u**3/3 + 8*u**2. Factor i(k).
-4*(k - 1)**2*(k + 2)
Suppose 0 = 4*d - d + 111. Let n = 113/3 + d. Find t such that 2*t**2 + 2*t + 2/3 + n*t**3 = 0.
-1
Let r(l) = -l**5 + 2*l**3 + 3*l**2 - 4*l - 3. Let g = -7 - -9. Let y(t) = -t**2 + t + 1. Let z(o) = g*r(o) + 6*y(o). Factor z(b).
-2*b*(b - 1)**2*(b + 1)**2
Factor -3/2*q**2 - 3/2*q**5 + 3/2*q**3 + 3/2*q**4 + 0 + 0*q.
-3*q**2*(q - 1)**2*(q + 1)/2
Let q be ((-10)/(-7) - (-24)/42) + 0. Factor -1/8*a**q - 1/8*a + 1/4.
-(a - 1)*(a + 2)/8
Suppose 5*r = -4*j, -3*r - 17 = -5. Let h(f) be the first derivative of 0*f**3 - 3/5*f**j + 0*f**4 + 0*f - 1/2*f**6 + 2 + 0*f**2. Solve h(t) = 0.
-1, 0
Let c(w) be the second derivative of -3*w**4/4 - 10*w**3/3 - 2*w**2 + 3*w. Determine i so that c(i) = 0.
-2, -2/9
What is l in -23/4*l + 5*l**2 + 3/2 = 0?
2/5, 3/4
Let o be 6*1*(0 + (-5)/(-10)). What is p in -1/3*p**o + 2/3 + 0*p**2 + p = 0?
-1, 2
Let f(g) be the first derivative of -g**6/105 + g**5/70 - 3*g - 2. Let u(a) be the first derivative of f(a). Find b such that u(b) = 0.
0, 1
Let a = -2 - -4. Let u(j) = j**3 + 4*j**2 - j - 4. Let i(p) = -p**2 + 1. Let b(q) = -q + 2. Let l be b(1). Let m(v) = a*i(v) + l*u(v). Solve m(x) = 0 for x.
-2, -1, 1
Let g = 4033 - 1451879/360. Let o(u) be the third derivative of g*u**6 + 1/9*u**3 - 1/72*u**4 - u**2 + 0 - 1/90*u**5 + 0*u. Factor o(k).
(k - 2)*(k - 1)*(k + 1)/3
Let o(y) = y**4 + y**3 - y**2 + y. Let v(w) = 9*w**4 + 11*w**3 - 7*w**2 + w - 2. Let p(l) = 6*o(l) - v(l). Factor p(r).
-(r - 1)*(r + 1)**2*(3*r + 2)
Suppose -3*f = -w - 0*w - 8, -f = 5*w - 8. Determine q, given that 2*q**4 + 3*q**4 - 3*q**4 - q**f - 2*q + 3*q**3 - 2*q**2 = 0.
-1, 0, 1
Let k(g) be the third derivative of g**8/1512 - g**7/315 - g**6/270 + g**5/45 + g**4/108 - g**3/9 + 8*g**2. What is f in k(f) = 0?
-1, 1, 3
Let o = 62 + -123/2. Let b(i) be the first derivative of o*i**4 - i**2 - 2 + 4/3*i - 4/9*i**3. Factor b(q).
2*(q - 1)*(q + 1)*(3*q - 2)/3
Let k(n) be the second derivative of -n**6/1440 + n**4/96 - n**3/6 + 2*n. Let o(b) be the second derivative of k(b). Factor o(i).
-(i - 1)*(i + 1)/4
Let m(y) be the second derivative of -y**5/60 + y**2 - 3*y. Let g(v) be the first derivative of m(v). Factor g(a).
-a**2
Let y(j) be the first derivative of 1/210*j**5 - j**2 + 1 + 1/84*j**4 + 0*j**3 + 0*j. Let w(k) be the second derivative of y(k). Determine m so that w(m) = 0.
-1, 0
Let c(m) be the first derivative of -m**5/90 - m**4/18 + 4*m**2 + 6. Let y(d) be the second derivative of c(d). Factor y(a).
-2*a*(a + 2)/3
Let u = -17 + 17. Factor c**4 + u*c**3 + 0*c**3 + 4*c**5 - 4*c**3 + 3*c**4 - 4*c**2.
4*c**2*(c - 1)*(c + 1)**2
Let h(n) be the second derivative of 8*n**7/7 - 124*n**6/45 - 53*n**5/20 + 181*n**4/36 - 8*n**3/3 + 2*n**2/3 + 23*n. Suppose h(j) = 0. Calculate j.
-1, 2/9, 1/4, 2
Let s(m) = -36*m**3 + 45*m**2 + 15*m - 66. Let n(c) = -7*c**3 + 9*c**2 + 3*c - 13. Let p(a) = -21*n(a) + 4*s(a). Factor p(f).
3*(f - 3)*(f - 1)*(f + 1)
Let m be 0 + (3/(-3) - -2). Suppose -2*j - 5*j**2 - j - m + 4*j**2 - 1 = 0. What is j?
-2, -1
Let f be ((-2)/21)/(11/(-33)). Let p(x) be the first derivative of -f*x + 2/7*x**2 - 2/21*x**3 - 1. Find t such that p(t) = 0.
1
Let p = 15 - 12. Factor 0*d**5 + 3*d**2 + 9*d**4 + 0*d**4 + 9*d**p + 0*d**5 + 3*d**5.
3*d**2*(d + 1)**3
Let r(n) = 4*n + 32. Let y be r(-8). Let v(i) be the first derivative of -1/3*i**3 - 5/8*i**4 + y*i + 2 + 0*i**2 - 2/5*i**5 - 1/12*i**6. Factor v(j).
-j**2*(j + 1)**2*(j + 2)/2
Let a(y) be the second derivative of -1/45*y**5 - 2*y + 1/54*y**4 + 0 - 1/9*y**2 + 2/27*y**3. Factor a(v).
-2*(v - 1)*(v + 1)*(2*v - 1)/9
Let j be (-4)/(-3)*(480/66 + -7). Factor -j*r - 10/11*r**2 + 6/11.
-2*(r + 1)*(5*r - 3)/11
Suppose -3*l + 13 = -2. What is f in -4*f**3 + 3*f**3 + l*f - f**3 - 3*f = 0?
-1, 0, 1
Let u = -10 - -8. Let b be (9/(-6) - 0)*u. Suppose 3 + 12*v**2 + 2*v**b + 4*v + 7*v**3 - 3 = 0. Calculate v.
-2/3, 0
Let d = -4/89 + 222/979. Determine y so that 162/11 + 216/11*y + 108/11*y**2 + d*y**4 + 24/11*y**3 = 0.
-3
Suppose -19 = 5*y - 54. What is c in y*c**5 - 71/4*c**4 + 0 - 19/4*c**2 + 1/2*c + 15*c**3 = 0?
0, 1/4, 2/7, 1
Let v be -1 - (2 + -1) - -5. Let w(x) = x**3 - 2*x**2 - x - 4. Let s be w(v). Suppose -2*c + 2*c**2 + s*c**3 - 4*c**4 + 5*c**4 - 3*c**4 = 0. What is c?
-1, 0, 1
Let k(c) be the first derivative of c**6/1080 + c**5/360 - c**4/36 + 2*c**3/3 - 2. Let l(w) be the third derivative of k(w). Let l(g) = 0. Calculate g.
-2, 1
Let a(j) be the second derivative of j**7/420 + j**6/120 - j**4/24 - j**3/12 + j**2 + 3*j. Let m(o) be the first derivative of a(o). Factor m(h).
(h - 1)*(h + 1)**3/2
Suppose g**4 + 1/4*g**5 - 3*g**2 - 1/2*g**3 + 0 + 9/4*g = 0. What is g?
-3, 0, 1
Let v(m) be the first derivative of 3*m**5/25 + 3*m**4/10 - 3*m**2/5 - 3*m/5 + 3. Solve v(q) = 0 for q.
-1, 1
Let z(k) = k. Let c be z(-2). Let n = 0 - c. Solve -2*o**2 + 2*o + 2*o**4 - n*o**3 + 0*o**3 + 0*o**3 = 0.
-1, 0, 1
Let 0 + 0*w - 6/5*w**4 - 6/5*w**3 - 2/5*w**2 - 2/5*w**5 = 0. Calculate w.
-1, 0
Let y = -31 - -22. Let o be (1 + y)*(2 + -3). What is a in 2*a**3 + o*a**4 - 4*a**4 - 6*a**2 - 6*a**2 - 14*a - 4 = 0?
-1, -1/2, 2
Let d = -144 + 2161/15. Let s(r) be the second derivative of -3/50*r**5 + r + 2/15*r**4 + 0 - 2/5*r**2 + d*r**3. Factor s(y).
-2*(y - 1)**2*(3*y + 2)/5
Suppose 0*w = -5*k - 3*w - 4, w = -3. Suppose j - q + 2 = 0, -k + 3 = -5*j + q. Factor 1/4*n**3 - 1/4*n**2 + j - 1/4*n**5 + 0*n + 1/4*n**4.
-n**2*(n - 1)**2*(n + 1)/4
Determine o, given that 0 - 2*o**5 + 4/7*o**3 + 10/7*o**4 + 0*o**2 + 0*o = 0.
-2/7, 0, 1
Suppose 6*j - 3*j - s = 17, -5*j = 3*s - 19. Let o = j + -3. Solve -8*g**4 - 1 - 2*g**5 + 1 - 8*g**o - 12*g**3 + 2*g - 4*g = 0.
-1, 0
Let 3 - 95*y + 92*y + 13*y**2 - 3 - 4*y**3 = 0. What is y?
0, 1/4, 3
Let y(d) be the third derivative of 32*d**6/75 + 16*d**5/15 + 17*d**4/30 + 2*d**3/15 - 3*d**2. Factor y(u).
4*(u + 1)*(8*u + 1)**2/5
Let w(r) = -r**3 + 5*r**2 + 2*r - 6. Let z be w(5). Suppose 2*j + z*a - 20 = 0, -j + 4*a - 16 = -2. Factor 0*q - 2/11*q**3 + 0 - 2/11*q**j.
-2*q**2*(q + 1)/11
Let i(l) be the second derivative of l**8/960 + 5*l**7/756 + l**6/180 - l**5/45 + l**4/3 + 2*l. Let b(p) be the third derivative of i(p). Factor b(h).
(h + 2)*(3*h + 2)*(7*h - 2)/3
Let b(y) = y**3 + 6*y**2 + 9*y + 2. Let x be b(-2). Factor -1/4*j + 1/4*j**5 + 0*j**3 + x - 1/2*j**2 + 1/2*j**4.
j*(j - 1)*(j + 1)**3/4
Let s(w) be the second derivative of 3*w**4/4 - w**3/2 - 3*w**2 + 16*w. Factor s(m).
3*(m - 1)*(3*m + 2)
Suppose 12 - 3 = 3*r. Find h, given that 0*h**3 + h**5 + h - 3 + 3 - 2*h**r = 0.
-1, 0, 1
Factor -2/9*n**2 - 2/9*n + 4/9.
-2*(n - 1)*(n + 2)/9
Let u(k) = 4*k + 4. Let f(g) = -g - 1. Let m(s) = -5*f(s) - u(s). Let l be m(1). Let 8/7*b + 0 + 8/7*b**l + 2/7*b**3 = 0. Calculate b.
-2, 0
Let b = 3211/15 + -214. Let t(p) be the first derivativ