u(d) - 15*w(d). Let j(p) = 0. What is p?
-4, -1, 0
Let q(c) be the first derivative of -c**5/100 + c**4/40 + c**3/5 - c**2/2 - 4. Let r(l) be the second derivative of q(l). Determine d so that r(d) = 0.
-1, 2
Suppose 4*q + q - 90 = 0. Suppose -5*u = -0*m + m, -q = -m + u. Factor 21*t - m*t - 3*t**3 - 4 + t**3.
-2*(t - 1)**2*(t + 2)
Let n(s) = -7*s**3 - s**2 - 2*s - 1. Let h be n(-1). Let 1 - 11/2*g + 12*g**2 - 3/2*g**5 + h*g**4 - 13*g**3 = 0. What is g?
2/3, 1
Let i(g) be the first derivative of g**3/15 - 9*g**2/10 - 61. Find v such that i(v) = 0.
0, 9
Let v(n) be the third derivative of -n**8/6720 + n**6/240 + n**5/60 - n**4/6 - 5*n**2. Let z(x) be the second derivative of v(x). Find t such that z(t) = 0.
-1, 2
Let d(s) = 10*s. Let p be d(-1). Let r = 12 + p. Determine l, given that -18/7*l**4 + 8/7*l**3 + 0*l - 18/7*l**5 + 0 + 8/7*l**r = 0.
-1, -2/3, 0, 2/3
Let l = -44 + 46. Let f(v) be the third derivative of 0 - 1/20*v**4 + 2*v**l - 1/150*v**5 + 0*v - 2/15*v**3. Solve f(r) = 0.
-2, -1
Let l be 4/5*30/132. Suppose l*w**2 + 0 + 0*w = 0. Calculate w.
0
Let t be 36/48 + 1 + -8. Let k = 129/20 + t. Factor -k*i**2 - 2/5*i - 1/5.
-(i + 1)**2/5
Suppose -5*k - 4*f - 46 = -341, 2*k - 111 = -3*f. Factor -22*l**2 + 15*l**5 - 14*l**2 + 6*l + k*l**3 - 51*l**4 + 3*l**2.
3*l*(l - 1)**3*(5*l - 2)
Let z(x) be the first derivative of 0*x**3 + 0*x - 1/15*x**5 + 0*x**2 + 0*x**4 + 3. Solve z(j) = 0 for j.
0
Suppose -4*k = -5*k + 2. Let m be (k*-1)/((-6)/75). Let -9*w**2 + 15*w - 39*w - 36*w**2 - 4 - m*w**3 = 0. Calculate w.
-1, -2/5
Let l(s) be the third derivative of 0*s - 9/20*s**5 + 0 - s**3 - 1/70*s**7 - 1/8*s**6 + 8*s**2 - 7/8*s**4. Suppose l(y) = 0. Calculate y.
-2, -1
Let x(d) be the second derivative of -11*d**4/6 + 29*d**3/6 - 2*d**2 + d. Let w(g) = 22*g**2 - 30*g + 4. Let m(c) = 3*w(c) + 4*x(c). Factor m(v).
-2*(v - 1)*(11*v - 2)
Let a(v) be the third derivative of 2*v**7/735 - v**6/140 - 4*v**5/105 - v**4/28 + 30*v**2. Solve a(w) = 0 for w.
-1, -1/2, 0, 3
Let q(c) = c**4 + 12*c**3 + 13*c**2 + 2*c - 23. Let j(f) = -f**3 - f + 1. Let i(h) = 20*j(h) + 4*q(h). Factor i(t).
4*(t - 1)*(t + 2)*(t + 3)**2
Let b(s) = s - 24. Let o be b(27). Factor 8/3*w**2 - 10/3*w + 4/3 - 2/3*w**o.
-2*(w - 2)*(w - 1)**2/3
Let w(k) be the second derivative of -k**5/150 + k**4/30 - k**2 + 2*k. Let h(q) be the first derivative of w(q). Factor h(v).
-2*v*(v - 2)/5
Let r(g) be the third derivative of g**10/151200 + g**9/30240 + g**8/20160 - g**5/60 + g**2. Let f(a) be the third derivative of r(a). Factor f(i).
i**2*(i + 1)**2
Let f(n) be the second derivative of -n**5/110 - n**4/33 + n**3/33 + 2*n**2/11 - 27*n. Factor f(s).
-2*(s - 1)*(s + 1)*(s + 2)/11
Let z be ((-2)/4)/((-2)/12). Suppose 0 = 3*t + t. Factor x**2 + z*x**3 + t*x**3 - 4*x**3.
-x**2*(x - 1)
Let t(g) = -3*g**5 - 18*g**4 + 3*g**3 - 18*g**2 + 18*g + 18. Let k(h) = h**4 + h**2 - h - 1. Let x(r) = 18*k(r) + t(r). Factor x(l).
-3*l**3*(l - 1)*(l + 1)
Let b(q) = -q**3 + 7*q**2 - 2*q. Let z(y) = -2*y**3 + 15*y**2 - 3*y. Let g(x) = 5*b(x) - 2*z(x). Factor g(r).
-r*(r - 4)*(r - 1)
Suppose -g**2 - g**4 + 2*g**4 + 4*g**2 - 4*g**2 = 0. Calculate g.
-1, 0, 1
Let m = -1 + 3. Suppose 3*o + 4*o**2 + 0*o**2 - 4 - o - m*o**3 = 0. What is o?
-1, 1, 2
Let x be 6/3 + 0/1. Determine g, given that x*g**3 + 0*g - 2*g**4 - 2*g + 23*g**2 - 21*g**2 = 0.
-1, 0, 1
Let f(g) = g**3 - g**2 + 2*g - 3. Let d(k) = 3*k - 1. Let u be d(1). Let n be f(u). Determine j, given that -j**n + 1/2 - j**2 + 1/2*j**4 + 2*j**3 - j = 0.
-1, 1/2, 1
Let z = 5 + -13. Let i = z - -8. Factor -1/2*c**3 + 0 + 1/4*c**5 + 0*c**4 + 1/4*c + i*c**2.
c*(c - 1)**2*(c + 1)**2/4
Factor 5*x + 4*x + 10 - x - 3*x - 5*x**2.
-5*(x - 2)*(x + 1)
Suppose 0 = -9*o + 13*o - 3972. Let q = 4983/5 - o. Let -2/5 - 58/5*l**2 - 16/5*l**5 - 12*l**4 - 86/5*l**3 - q*l = 0. What is l?
-1, -1/2, -1/4
Let f(y) be the first derivative of 5 + 27/8*y**2 - 3*y - 3/2*y**3 + 3/16*y**4. Solve f(q) = 0 for q.
1, 4
Let i(b) be the second derivative of b**7/252 - b**5/60 + b**3/36 - b. Factor i(s).
s*(s - 1)**2*(s + 1)**2/6
Let m(t) be the third derivative of -t**7/105 + t**5/30 - 17*t**2. What is c in m(c) = 0?
-1, 0, 1
Let s(y) be the second derivative of y**7/84 - y**6/90 - 11*y + 3. Factor s(t).
t**4*(3*t - 2)/6
Let f(n) = -5*n**2 + 2*n + 10. Let c(t) = -11*t**2 + 5*t + 21. Let z(h) = -6*c(h) + 13*f(h). What is d in z(d) = 0?
2
Let h(b) = 5*b + 27. Let u be h(-5). Factor 9/2*d - 7/2*d**u - 1.
-(d - 1)*(7*d - 2)/2
Let d(h) be the second derivative of h**5/5 - h**4/2 - h**2 - h. Let y(x) = 8*x - 1 - 10*x**4 - x**3 + 11*x**4 - 9*x. Let v(t) = d(t) - 2*y(t). Factor v(r).
-2*r*(r - 1)**3
Suppose 1/5*u**3 + 0 + 0*u - 4/5*u**2 = 0. What is u?
0, 4
Let k(q) be the second derivative of -q**5/120 + q**4/24 - q**2 - 3*q. Let g(d) be the first derivative of k(d). Factor g(x).
-x*(x - 2)/2
Factor 12*f**2 + 0 + f**5 + 81*f**4 - 75*f**4 + 4*f + 0 + 13*f**3.
f*(f + 1)**2*(f + 2)**2
Let d(i) be the first derivative of 4*i**3/3 - 4*i**2 + 4*i - 3. Factor d(p).
4*(p - 1)**2
Let i(a) be the first derivative of 3*a**4/20 - 7*a**3/5 + 9*a**2/2 - 27*a/5 - 7. Let i(f) = 0. Calculate f.
1, 3
Suppose -4*p + 4*q = -20, 8*p - 3*p + 2*q = -10. Suppose 0*v + p + 0*v**3 + 2/7*v**4 + 0*v**2 - 2/7*v**5 = 0. Calculate v.
0, 1
Let -15*q + 0*q - 3*q**2 - 11 - 1 + 0*q = 0. Calculate q.
-4, -1
Let j(i) = -2*i**4 + i**3 + 3*i**2 - 5*i + 5. Let g(v) = v**4 - v**3 - 2*v**2 + 3*v - 3. Let k(o) = -5*g(o) - 3*j(o). Factor k(q).
q**2*(q + 1)**2
Find c, given that 0 + 6/5*c**3 + 6/5*c**2 - 4/5*c - 4/5*c**4 = 0.
-1, 0, 1/2, 2
Let j(l) = -8*l**2 - 4*l + 6. Let k(t) = -7*t**2 - 3*t + 5. Let d(b) = -5*j(b) + 6*k(b). Factor d(a).
-2*a*(a - 1)
Let n(w) be the third derivative of w**6/540 - w**5/270 - 2*w**2. Determine a so that n(a) = 0.
0, 1
Let q(b) be the first derivative of -2 + 1/5*b**3 + 0*b**4 + 0*b**2 + 0*b - 3/25*b**5. Factor q(v).
-3*v**2*(v - 1)*(v + 1)/5
Let z = 208 - 623/3. Suppose 0 + 1/3*c**2 + z*c = 0. What is c?
-1, 0
Suppose 2*k + 17 = -5*t - 2*k, -6 = -3*t + 3*k. Let l be (-1 - t)/(-3) + 4. Let f**3 + 0*f + 0 + 0*f**2 - 1/2*f**l = 0. Calculate f.
0, 2
Find m such that -333 + 333 + 2*m**3 = 0.
0
Let h(z) be the third derivative of -z**9/120960 + z**8/13440 + z**5/15 - 5*z**2. Let g(o) be the third derivative of h(o). Factor g(r).
-r**2*(r - 3)/2
Let j(c) be the second derivative of -c**6/360 + c**5/60 - c**4/24 - c**3/6 + 3*c. Let i(l) be the second derivative of j(l). Factor i(k).
-(k - 1)**2
Let x = 98 + -96. Let r(v) be the second derivative of -1/15*v**6 - 1/3*v**3 + 1/6*v**4 + 0*v**x + 0 + 1/10*v**5 - 3*v. Find u such that r(u) = 0.
-1, 0, 1
Let 3/2*z**2 + 0 - 3/8*z**3 - 3/2*z = 0. What is z?
0, 2
Let h be (20/(-25))/(6/(-15)). Factor 2/5*c + 4/5*c**h - 4/5 - 2/5*c**3.
-2*(c - 2)*(c - 1)*(c + 1)/5
Let l be 1 + 2 + (-104)/28 + 1. Let q = -77 - -541/7. Let q*w**2 - l*w + 0 = 0. Calculate w.
0, 1
Let o be 0 - 10/30*-9. Factor 0*a**o - 1/5*a**5 + 0 + 2/5*a**2 + 1/5*a - 2/5*a**4.
-a*(a - 1)*(a + 1)**3/5
Let t = 1799/4485 + -1/897. Determine y, given that 2*y**2 + t*y + 8/5*y**3 + 0 = 0.
-1, -1/4, 0
Let j = -108 - -108. Let b(u) be the first derivative of 0*u**2 + 1/12*u**3 + j*u - 2 + 1/16*u**4. Factor b(w).
w**2*(w + 1)/4
Factor 12*n**2 - 4*n**5 - 4*n + 13*n**3 - 5*n**3 - 12*n**2.
-4*n*(n - 1)**2*(n + 1)**2
Let l = 99 - 97. Let n(x) be the first derivative of -3/11*x**6 + 6/11*x**5 + 0*x**l + 3 - 7/22*x**4 + 2/33*x**3 + 0*x. Let n(a) = 0. Calculate a.
0, 1/3, 1
Suppose 4*z - 6 = 7*z. Let m be (4 - 7)/(1/z). Factor -a + 120*a**2 - 252*a**3 + 98*a**4 - 8*a - a - m*a.
2*a*(a - 2)*(7*a - 2)**2
Let c(u) be the first derivative of u**2/2 - 2*u - 1. Let r be c(7). Factor 2*y**5 + 4*y**2 + 0*y**2 + 8*y**4 + r*y**3 + 5*y**3.
2*y**2*(y + 1)**2*(y + 2)
Let l(u) = u**3 + 2*u**2 + 17*u + 8. Let t(r) = 2*r**3 + r**2 + 16*r + 7. Let x(k) = -5*l(k) + 4*t(k). Solve x(m) = 0.
-1, 4
Let x be (-668)/30 + (-12)/30. Let a = x - -23. Find q such that -a + 1/3*q**3 + 1/3*q**2 - 1/3*q = 0.
-1, 1
Let l be 1/3 + 5/(-15). Let y be l - 2/((-32)/4). Factor -1/4*h**2 + 0*h + 0 - 3/4*h**4 - y*h**5 - 3/4*h**3.
-h**2*(h + 1)**3/4
Suppose -2 + 7 = q. Factor 3*v**2 + 3*v + 16*v**q + 3*v - 5*v + v**3 - 24*v**4 + 3*v**2.
v*(v - 1)**2*(4*v + 1)**2
Factor 6 - 5/3*r**3 - 19*