 - 1)**2*(3*v - 2)/4
Suppose 0 = 5*k + 30 - 5. Let d be -6*1*k/15. Determine s so that -4*s + 14*s**3 - 10*s**5 + s**d - 4*s**4 + 5*s**2 - 2*s**4 = 0.
-1, 0, 2/5, 1
Let n be -4*(0 + (-2)/4). Let r(u) be the first derivative of 0*u + 0*u**3 - 1/12*u**6 + 0*u**n + 0*u**4 - 1/10*u**5 + 2. Let r(v) = 0. Calculate v.
-1, 0
Let s = -3 + 5. Let k(f) = f**3 + f - 1. Let p(m) = 4*m**3 - 4*m**2 + 4*m - 2. Let w = 2 - 3. Let u(a) = s*k(a) + w*p(a). Find z such that u(z) = 0.
0, 1
Let x(u) = 3*u - 14. Let d be x(6). Let w be (20/165)/(d/6). Factor -4/11 + w*n**4 - 6/11*n**2 - 2/11*n**3 + 10/11*n.
2*(n - 1)**3*(n + 2)/11
Suppose -4*j + 56 = -5*l, 0*j - 3*j + 21 = -2*l. Let n be (1/3)/((-16)/l). What is v in 0 - n*v**3 + 1/4*v**2 + 1/2*v = 0?
-1, 0, 2
Let f be (-8)/(-36)*(-3)/(-4). Let n(q) be the first derivative of 1/8*q**4 - f*q**3 - 2 - 1/2*q**2 + 0*q. Factor n(b).
b*(b - 2)*(b + 1)/2
Factor r**4 + 3*r**4 - 8*r**2 + 4 - 1 + 1.
4*(r - 1)**2*(r + 1)**2
Let k(r) = 13*r**2 - 25*r + 19. Suppose q = f - 10, 8 = 3*f - 4*f - 5*q. Let t(g) = 6*g**2 - 12*g + 9. Let i(j) = f*t(j) - 3*k(j). Find v such that i(v) = 0.
1, 2
Let w be 1/2 + 5/2 - 0. Let y(k) be the third derivative of 1/150*k**5 + 0 + 1/30*k**4 + 3*k**2 + 0*k**w + 0*k. Factor y(s).
2*s*(s + 2)/5
Let t = 169 - 81. Let u = 148 - t. Suppose 28 - 28 + 8*f**2 + 49*f**5 + 126*f**4 + u*f**3 = 0. Calculate f.
-2, -2/7, 0
Let s be (-8)/(-6) + (-60)/234. Suppose 32/13*m**3 + 0 - s*m**4 + 4/13*m - 22/13*m**2 = 0. What is m?
0, 2/7, 1
Let v(t) be the third derivative of -t**6/60 + 7*t**5/30 + 7*t**4/12 + 5*t**3/3 + t**2. Let d(s) = -s**2 - s - 1. Let c(m) = 12*d(m) + v(m). Factor c(o).
-2*(o - 1)**2*(o + 1)
Let m(l) be the first derivative of -l**4/3 + 4*l**3/3 - 2*l**2 + 4*l/3 - 19. Factor m(t).
-4*(t - 1)**3/3
Suppose 0 = -o + 13*o - 9*o. Factor 0*g - 2/3*g**3 + o - 1/3*g**2.
-g**2*(2*g + 1)/3
Let k(u) be the third derivative of 1/210*u**6 + 1/21*u**3 + 0*u - 1/735*u**7 - 1/42*u**4 + 0*u**5 + 0 + u**2. Solve k(f) = 0.
-1, 1
Let c(s) be the third derivative of s**7/3360 + s**6/480 + s**5/160 - s**4/4 + 3*s**2. Let i(h) be the second derivative of c(h). Factor i(k).
3*(k + 1)**2/4
Let q(o) be the first derivative of -o**6/480 + o**5/240 + 5*o**4/96 + o**3/8 - 3*o**2/2 - 5. Let g(h) be the second derivative of q(h). Factor g(d).
-(d - 3)*(d + 1)**2/4
Let p(x) be the second derivative of x**4/18 + 10*x**3/9 + 3*x**2 + 9*x. Factor p(y).
2*(y + 1)*(y + 9)/3
Let z(m) be the third derivative of 1/15*m**5 + 5/9*m**4 + 0*m + 8/9*m**3 + 0 - 1/20*m**6 - 2*m**2. Factor z(t).
-2*(t - 2)*(3*t + 2)**2/3
Let m be (5 - 3) + 23/1. Suppose -5*q - m = 0, 4*u + 6 = q + 19. Suppose 1/3*o**u + 0 + 1/3*o = 0. Calculate o.
-1, 0
Factor 4/5 + 24/5*d + 12/5*d**4 + 8*d**3 + 48/5*d**2.
4*(d + 1)**3*(3*d + 1)/5
Let o(n) be the third derivative of -n**10/151200 + n**8/16800 - n**6/3600 + n**4/8 - n**2. Let k(i) be the second derivative of o(i). Factor k(c).
-c*(c - 1)**2*(c + 1)**2/5
Let n(r) be the second derivative of r**6/360 + r**5/180 - r**4/36 + 3*r**2/2 + 2*r. Let a(h) be the first derivative of n(h). Factor a(u).
u*(u - 1)*(u + 2)/3
Suppose q + 19 = 2*q. Suppose 5*y = 3*d + q, 0*d - 2*d = 4*y - 24. Factor 9/2*n**d + 3/2*n**4 + 3/2*n + 0 + 9/2*n**3.
3*n*(n + 1)**3/2
Factor 0*h**2 + 0*h - 4/9*h**4 - 2/9*h**5 + 0 - 2/9*h**3.
-2*h**3*(h + 1)**2/9
Let t(w) = w**3 + 8*w**2 - w - 6. Let f be t(-8). Let y(q) = -q**3 + 14*q**2 - 14*q + 13. Let g be y(13). Factor -2/3*v**f + g*v + 0.
-2*v**2/3
Let k(v) be the third derivative of -v**8/1344 + 3*v**6/160 - v**5/60 - v**4/8 - 27*v**2. What is n in k(n) = 0?
-3, -1, 0, 2
Factor -5*y**2 - 9*y - 4 + y**2 + y.
-4*(y + 1)**2
Factor 2*w**5 + 26*w**3 - 38*w**3 + 8*w**2 + 2*w**5.
4*w**2*(w - 1)**2*(w + 2)
Let l(z) = z**3 - z**2 + z - 1. Let i(y) = -7*y**3 + 6*y**2 - 9*y + 10. Let b(x) = -5*i(x) - 40*l(x). Factor b(j).
-5*(j - 2)*(j - 1)*(j + 1)
Let y(j) be the second derivative of -1/12*j**4 - 1/42*j**7 + 0*j**2 + 0 + 1/20*j**5 + 0*j**3 - j + 1/30*j**6. Determine h, given that y(h) = 0.
-1, 0, 1
Let c(i) = i - 6. Let p be c(9). Let s(j) = -j**2 + 4*j - 3. Let w be s(p). Factor -3/4*v**4 - 1/4*v**2 + 0 + w*v - 1/4*v**5 - 3/4*v**3.
-v**2*(v + 1)**3/4
Let m be (-1)/12 + 1/4. Let k(l) be the second derivative of -m*l**4 - 2*l**2 + 0 + l**3 - 2*l. Let k(n) = 0. Calculate n.
1, 2
Let w = 6 - 7. Let g be w/2 + 44/(-8). Let a(p) = 2*p**2 + 8*p - 6. Let y(l) = 2*l**2 + 7*l - 5. Let i(f) = g*y(f) + 5*a(f). Find x, given that i(x) = 0.
-1, 0
Factor -48*q**2 - 42 - 32*q - 18*q**3 + q**4 - 3*q**4 + 42.
-2*q*(q + 1)*(q + 4)**2
Let o(a) be the first derivative of -4*a**3/33 - 13*a**2/22 - 3*a/11 - 19. Factor o(c).
-(c + 3)*(4*c + 1)/11
Let i(w) be the second derivative of -3*w**5/20 + w**3/6 + w**2/2 - 3*w. Let v be i(-1). Factor -2/3*z + 0 + 2/3*z**4 - 2*z**v + 2*z**2.
2*z*(z - 1)**3/3
Suppose -14 = -4*l + 70. Suppose -8*f - a = -3*f - l, -f + 2 = -2*a. Factor 3*s**2 - 2*s + s**4 + 5*s**4 - 7*s**f.
-s*(s - 1)**2*(s + 2)
Let z(o) be the second derivative of -5*o**7/63 + 7*o**6/45 + 4*o**5/15 - 2*o**4/9 - 24*o. What is w in z(w) = 0?
-1, 0, 2/5, 2
Let w(p) be the first derivative of 11/35*p**5 + 15/28*p**4 + 1/14*p**6 + 2 + 3/7*p**3 + 1/7*p**2 + 0*p. Factor w(y).
y*(y + 1)**3*(3*y + 2)/7
Let d be (1/(-2))/((-1)/4). Suppose -d*u = -3*u. What is x in 0*x**2 - 2*x**3 - 2*x**2 + u*x**3 = 0?
-1, 0
Factor -12*o**4 + o - 2*o**3 + o**5 + 19*o**4 - 7*o**4.
o*(o - 1)**2*(o + 1)**2
Solve -2/5*a**2 - 4/5 + 6/5*a = 0 for a.
1, 2
Factor g + 1 + 1/4*g**2.
(g + 2)**2/4
Suppose 14 = 5*v - 6. Let q be ((-2)/(-4))/(15/150). Determine r so that -3*r**q + 2*r**5 + 2*r**5 + 2*r**v + r**3 = 0.
-1, 0
Let i(o) be the second derivative of o**5/20 + o**4/6 + o**3/6 - 3*o. Factor i(c).
c*(c + 1)**2
Let d(s) be the first derivative of s**6/9 + 2*s**5/5 - s**4/6 - 22*s**3/9 - 4*s**2 - 8*s/3 + 16. Factor d(l).
2*(l - 2)*(l + 1)**3*(l + 2)/3
Let h(z) be the third derivative of -z**5/240 - z**4/32 - z**3/12 + 4*z**2. Solve h(o) = 0.
-2, -1
Let g(v) be the third derivative of v**5/30 + v**4/4 + 2*v**3/3 - 5*v**2. Solve g(y) = 0 for y.
-2, -1
Suppose -1/4*r**2 + 0 + 7/4*r = 0. Calculate r.
0, 7
Suppose -3*x + 3 = -3. Suppose -2*d = x*d + 3*h - 25, -3*d + 21 = 3*h. Factor 7*l + 4*l**d + 2*l**3 + 1 + 4*l**2 + 11*l**2 + 11*l**3.
(l + 1)**3*(4*l + 1)
Solve 5 + 3*m**2 + 3*m - 11 + 0 = 0 for m.
-2, 1
Let w(l) be the second derivative of 5*l**7/126 - 4*l**6/45 - l**5/15 + 5*l**4/18 - l**3/18 - l**2/3 - 2*l. Factor w(h).
(h - 1)**3*(h + 1)*(5*h + 2)/3
Let q = 2/1647 + 499/41175. Let h(v) be the second derivative of 2*v + 1/10*v**4 - 1/15*v**3 - 3/50*v**5 + 0*v**2 + q*v**6 + 0. Let h(o) = 0. Calculate o.
0, 1
Let y(x) be the first derivative of x**5 - 65*x**4/4 + 100*x**3 - 280*x**2 + 320*x - 2. What is o in y(o) = 0?
1, 4
Let c(w) be the second derivative of w**5/210 - w**4/14 + 3*w**3/7 - w**2 - 3*w. Let m(y) be the first derivative of c(y). Suppose m(a) = 0. What is a?
3
Suppose -2 - 7 = -2*p - k, 4*p = -5*k + 33. Factor 0*u + 4/7*u**3 + 0 - 2/7*u**5 + 0*u**p - 2/7*u**4.
-2*u**3*(u - 1)*(u + 2)/7
Let u = -39 + 42. Suppose 1/3 + v**2 - v - 1/3*v**u = 0. What is v?
1
Factor 3*c**4 + 48*c**3 - 12*c**2 - 40*c**3 - 16 + c**4 - 32*c.
4*(c - 2)*(c + 1)**2*(c + 2)
Factor -3*z - 23*z**2 - 16 + 3*z + 35*z**2 - 4*z**3.
-4*(z - 2)**2*(z + 1)
Let i(z) = z. Let y be i(3). What is l in 0*l**2 - 2*l**2 - 5*l + 2*l**y + 3*l + 0*l**2 + 2 = 0?
-1, 1
Suppose 22*s - 23*s = -3. Let r(t) be the first derivative of -s - 1/12*t**4 + 1/15*t**5 + 1/18*t**6 + 0*t - 1/9*t**3 + 0*t**2. Find u, given that r(u) = 0.
-1, 0, 1
Suppose m - 2*v = 3*v + 22, 5*v = -20. Let w(u) be the second derivative of 0 - 2/15*u**3 + 1/4*u**4 + m*u - 2/5*u**2. Find l, given that w(l) = 0.
-2/5, 2/3
Let p(a) be the first derivative of a**5/60 - a**4/8 + a**3/3 - a**2/2 + 5. Let q(k) be the second derivative of p(k). Suppose q(h) = 0. Calculate h.
1, 2
Suppose -4*o + 7*o - 6 = 0. Suppose -5*a - o + 17 = 0. Determine v, given that 2/3*v**2 - 1/3*v**5 + 2/3*v**a - 1/3*v**4 - 1/3*v - 1/3 = 0.
-1, 1
Factor -6/7*x**2 + 0 - 3/7*x.
-3*x*(2*x + 1)/7
Let u(n) be the first derivative of -n**4/7 + 4*n**3/21 + 4*n**2/7 - 15. Determine s so that u(s) = 0.
-1, 0, 2
Let p = -187276/7 + 26649. Let h = p - -105. Let -2/7*s + 