*j + 3*j. Let d be (-2)/q*0 - 0. Let d - 4/5*g + 18/5*g**2 = 0. What is g?
0, 2/9
Let y be (-6)/9 - (-32)/12. Solve 8*n - 7 - 5 + 0 + 4*n**y + 0*n**2 = 0 for n.
-3, 1
Let b(g) be the second derivative of -g**4/4 - g**3/2 + 3*g**2 - 10*g. Find h such that b(h) = 0.
-2, 1
Factor -8*p**3 - 12*p**2 - 6 + 12 + 16*p + 10 + 4*p**4.
4*(p - 2)**2*(p + 1)**2
Suppose 0 = 4*o - 45 - 307. Let y be (-6)/14*o/(-33). Factor 8/7 + 2/7*l**2 + y*l.
2*(l + 2)**2/7
Let j = 7 - 13. Let b be j/21 + 24/35. Find m, given that 4/5 - 2*m + 8/5*m**2 - b*m**3 = 0.
1, 2
Let x(u) be the second derivative of -u**10/52920 + u**9/13230 - u**8/11760 - u**4/4 - 10*u. Let f(j) be the third derivative of x(j). Factor f(z).
-4*z**3*(z - 1)**2/7
Let w(t) be the second derivative of 3*t**4/20 + 2*t**3/3 + 2*t**2/5 - t. Factor w(b).
(b + 2)*(9*b + 2)/5
Let x(f) = f**3 + f**2 - f + 1. Let m(a) = 11*a**3 - 63*a**2 + 75*a - 19. Let w(z) = m(z) + 3*x(z). Determine r so that w(r) = 0.
2/7, 2
Factor 0 + 1/6*b**2 - 1/2*b.
b*(b - 3)/6
Find m such that -2/13*m**4 - 2/13*m**2 + 0*m + 0 + 4/13*m**3 = 0.
0, 1
Let i(f) be the first derivative of -6 + 2*f - 7/3*f**3 - 5/2*f**2. Factor i(a).
-(a + 1)*(7*a - 2)
Let c = -95/4 - -97/4. Find z, given that 1/2*z**3 + c + 3/2*z + 3/2*z**2 = 0.
-1
Factor 16*n - 3*n**4 - 4 - 73*n**2 + 2*n**4 - 3*n**4 + 49*n**2 + 16*n**3.
-4*(n - 1)**4
Let n be (-3 + 4 - 0)*8. Let y(i) = i**2 - 7*i - 6. Let t be y(n). Factor -1/5*g + 0 + 1/5*g**t.
g*(g - 1)/5
Let c(k) be the third derivative of k**8/23520 + k**7/2940 - k**5/105 + 5*k**4/24 - 6*k**2. Let q(j) be the second derivative of c(j). Factor q(w).
2*(w - 1)*(w + 2)**2/7
Solve -2/11*p - 6/11*p**2 + 4/11 = 0.
-1, 2/3
Let y = 13 - 5. Suppose 6*r - y*r + 6 = 0. Suppose 2/5 + 4/5*m**2 - 6/5*m + 4/5*m**r - 6/5*m**4 + 2/5*m**5 = 0. What is m?
-1, 1
Suppose -4*z = -4*y - 12, -4*z - 1 + 13 = -y. Suppose 5*c - r = 3*r, 4*c - z*r = 0. Factor -1/3*g - 1/3*g**2 + c.
-g*(g + 1)/3
Let h(x) = -8*x**2 - 32*x - 7. Let r(p) = p**2 + 4*p + 1. Let a(j) = -j**3 + 2*j**2 - 4*j + 2. Let n be a(2). Let u(c) = n*h(c) - 51*r(c). Factor u(q).
-3*(q + 1)*(q + 3)
Let n(m) be the third derivative of 2/25*m**5 - 7/40*m**4 + 4*m**2 + 0*m + 1/5*m**3 + 0 - 3/200*m**6. Factor n(u).
-3*(u - 1)**2*(3*u - 2)/5
Suppose 0*i**3 - i**2 + 3*i**3 - i**3 - i + 0*i**3 = 0. Calculate i.
-1/2, 0, 1
Let r be 2075/(-175) - 1/7. Let m = -9 - r. Let -2*s - s**m - 1/2 - 5/2*s**2 = 0. What is s?
-1, -1/2
Let k = -7/11 + 25/22. Suppose k*h - h**2 + 1/2 = 0. What is h?
-1/2, 1
Let f(q) = -5*q**2 - 11*q - 5. Let z(d) = -21*d**2 - 45*d - 19. Let w(o) = -26*f(o) + 6*z(o). Suppose w(h) = 0. What is h?
-2
Let u(m) be the second derivative of -27*m**7/77 - 9*m**6/55 + 216*m**5/55 - 92*m**4/11 + 272*m**3/33 - 48*m**2/11 + 22*m. What is f in u(f) = 0?
-3, 2/3
Let l(z) be the first derivative of -z**4/16 - z**3/6 - z**2/8 + 13. Factor l(q).
-q*(q + 1)**2/4
Let d = -2/1261 - -7624/36569. Let b = 53/116 - d. Suppose 0 + 1/4*a**3 + b*a**2 - 1/4*a - 1/4*a**4 = 0. Calculate a.
-1, 0, 1
Let i be (4 - -1)/5 + 15. Let a be (-4)/i*(-3 + -9). Factor -3/2 + a*w**2 + 3*w**3 - 3/2*w**4 - 3/2*w**5 - 3/2*w.
-3*(w - 1)**2*(w + 1)**3/2
Let h(q) be the third derivative of q**6/30 + q**5/5 - q**4/6 - 2*q**3 - 2*q**2 - 3*q. Factor h(g).
4*(g - 1)*(g + 1)*(g + 3)
Let b(o) be the third derivative of o**9/90720 - o**8/30240 + o**5/20 + 2*o**2. Let s(a) be the third derivative of b(a). Factor s(c).
2*c**2*(c - 1)/3
Let k(q) be the second derivative of 2/3*q**3 + 10*q + 0*q**2 + 0 - 1/6*q**4. Factor k(v).
-2*v*(v - 2)
Factor -6*d**2 + 0 + 2*d**5 + 1/2*d**3 + 2*d + 6*d**4.
d*(d + 2)**2*(2*d - 1)**2/2
Factor -84 + 84 - 2*h + 2*h**2.
2*h*(h - 1)
Let r(i) be the second derivative of -i**7/21 + 3*i**6/5 - 16*i**5/5 + 28*i**4/3 - 16*i**3 + 16*i**2 - 18*i. What is f in r(f) = 0?
1, 2
Let w(r) = 19*r**3 + 6*r**2 - 10*r. Let i(f) = -13*f**3 - 4*f**2 + 7*f. Let q(z) = 7*i(z) + 5*w(z). Let d be q(1). Factor -4 + 2*v**3 - 1 + d - 2*v**2.
2*v**2*(v - 1)
Let h = 73/268 + -3/134. Find b, given that -h*b**5 - 1/2 - 1/4*b - 1/2*b**4 + b**2 + 1/2*b**3 = 0.
-2, -1, 1
Let l = -13 - -13. Let k(r) be the third derivative of 0*r**3 - 2/105*r**7 + l - 2/15*r**5 + 3*r**2 - 1/12*r**6 - 1/12*r**4 + 0*r. Factor k(y).
-2*y*(y + 1)**2*(2*y + 1)
Factor 14*y + 8 - 6*y**2 - 2*y + 9*y**2 + y**2.
4*(y + 1)*(y + 2)
Let x be (-25)/(-4)*36/(-90)*-2. Let s(p) be the second derivative of -1/24*p**3 + 1/8*p**2 + 2*p + 1/80*p**x - 1/48*p**4 + 0. Factor s(i).
(i - 1)**2*(i + 1)/4
Let s(i) be the third derivative of -i**6/30 - i**5/15 + 5*i**4/6 - 2*i**3 + 16*i**2. What is d in s(d) = 0?
-3, 1
Let r(w) = -w**5 + 3*w**4 + w**3 - w**2. Let n(c) = -3*c**4. Let p(u) = 2*n(u) + 3*r(u). Determine d so that p(d) = 0.
-1, 0, 1
Let k(y) be the third derivative of -1/36*y**4 - 1/135*y**5 + 0 + 0*y + 5*y**2 - 1/27*y**3. Factor k(r).
-2*(r + 1)*(2*r + 1)/9
Factor 1/2 - 3/4*r + 0*r**2 + 1/4*r**3.
(r - 1)**2*(r + 2)/4
Suppose 0 = 2*r - r. Let j(f) be the first derivative of -7/10*f**5 + 1/3*f**3 + 5/8*f**4 + 0*f + r*f**2 - 1. Factor j(g).
-g**2*(g - 1)*(7*g + 2)/2
Let i(c) be the first derivative of 3*c**5 + 21*c**4/2 + 69*c**3/5 + 42*c**2/5 + 12*c/5 + 28. Factor i(z).
3*(z + 1)**2*(5*z + 2)**2/5
Let u be (-2)/(-2) + (-1 - -2). Let n(w) be the first derivative of 2 + 1/24*w**6 + 0*w**5 + 0*w**3 + 0*w + 1/8*w**u - 1/8*w**4. Solve n(t) = 0 for t.
-1, 0, 1
Suppose 2/9*q**3 + 0 + 2/9*q + 4/9*q**2 = 0. Calculate q.
-1, 0
Let n = 59/44 + -12/11. Let c(d) be the first derivative of -1/5*d**5 + 3/4*d**2 + n*d**6 - 1 - 3/4*d**4 - d + 2/3*d**3. Let c(w) = 0. Calculate w.
-1, 2/3, 1
Let b be 3/1 + -3 + 0. Let l(i) be the second derivative of 1/60*i**4 - 1/30*i**3 + b*i**2 + 0 + 2*i. Solve l(u) = 0 for u.
0, 1
Determine w, given that -2/5*w**2 + 6/5*w - 4/5 = 0.
1, 2
Factor 1/2*p + 5/4*p**4 + 7/4*p**2 + 9/4*p**3 + 0 + 1/4*p**5.
p*(p + 1)**3*(p + 2)/4
Let a = -2 + 3. Let g = 4 - a. What is r in -r**2 + 7*r - g*r - 2*r = 0?
0, 2
Suppose -4*r - 9 - 3 = 0. Let f(a) = -a**3 - 4*a**2 - 3*a + 3. Let t be f(r). Factor t*d**2 + 4*d**2 - d**3 - d - 5*d**2.
-d*(d - 1)**2
Let b be (-2)/4 + 7/6. Let d = 587/3 - 195. Find r such that -d*r**3 - b*r + 0 - 4/3*r**2 = 0.
-1, 0
Let r(g) be the second derivative of -g**4/4 - g**3/8 + 6*g. Suppose r(k) = 0. Calculate k.
-1/4, 0
Let y be -1*(2 - 1) - -3. Let d(v) = -v**3 + 4*v**2 - 3*v + 2. Let l be d(3). Factor -3*w + l*w**3 - w + 0*w + y*w.
2*w*(w - 1)*(w + 1)
Let c be 5*2/(-6) - (-5 + 2). Factor 0*m**2 + 0 + 1/3*m**3 - c*m.
m*(m - 2)*(m + 2)/3
Suppose -16/7*y - 20/7 + 4/7*y**2 = 0. What is y?
-1, 5
Let d(i) be the first derivative of -9*i**5/5 + 15*i**4/4 - 7*i**3/3 + i**2/2 - 39. Factor d(r).
-r*(r - 1)*(3*r - 1)**2
Let a(g) be the second derivative of 1/36*g**4 + 4*g + 0 + 0*g**2 + 0*g**5 + 0*g**3 - 1/90*g**6. Factor a(m).
-m**2*(m - 1)*(m + 1)/3
Find b such that -2/3*b - 4/3*b**3 + 0*b**4 + 2/9*b**5 + 0 + 16/9*b**2 = 0.
-3, 0, 1
Let q(y) be the first derivative of 1 - 2/7*y**2 + 0*y - 2/21*y**3. Solve q(f) = 0.
-2, 0
Let m(j) be the first derivative of -j**6/300 - 2*j**2 - 4. Let f(h) be the second derivative of m(h). Factor f(p).
-2*p**3/5
Solve 27*d + 200*d**2 - 150*d**3 - 70*d + 30 + 14*d**4 - 82*d - 5*d**5 + 36*d**4 = 0 for d.
1, 6
Let w = -7 - -10. Let h be w/(-3 - -9)*1. Let 0 - 1/4*q**3 - 1/4*q + h*q**2 = 0. What is q?
0, 1
Factor 3*w**3 - 14*w**4 - 4*w**3 + 4*w**4 - 5*w**5 - 4*w**3.
-5*w**3*(w + 1)**2
Let 108*w**2 + 15*w + 5*w**3 - 2*w**3 - 90*w**2 = 0. What is w?
-5, -1, 0
Let m(i) be the second derivative of -1/4*i**4 - 3*i + 2*i**2 + 0 - 1/20*i**5 + 0*i**3. Factor m(z).
-(z - 1)*(z + 2)**2
Let q(o) be the second derivative of 1/2*o**3 - 7/8*o**4 + o**2 + 3/5*o**5 + 2*o + 0. Let h(u) be the first derivative of q(u). Suppose h(c) = 0. What is c?
1/4, 1/3
Suppose -6 = -0*k - k - 2*s, -s = -2. Factor -4*w**5 + k*w**5 - 6*w**4 - 2*w**2 + 6*w**3 + 4*w**5.
2*w**2*(w - 1)**3
Let w = 68 - 68. Factor 0 + w*l - 5/2*l**3 + l**2 + l**4.
l**2*(l - 2)*(2*l - 1)/2
Factor 92*l**3 + 552/7*l - 72/7 - 1226/7*l**2 - 14*l**4.
-2*(l - 3)**2*(7*l - 2)**2/7
Let j(x) be the third derivative of -x**9/7560 - x**8/1120 - x**7/420 - x**6/360 + x**4/12 - 3*x**2. Let z(y) be the second derivative of j(y). Factor z(m).
-2*m*(m + 1)**3
Let p(j) be the third d