*2*(3*y - 2)
Let w(x) = -x**3 + x + 1. Let b(k) = -4*k**3 - 6*k**2 + 17*k - 3. Let i(h) = -b(h) + 5*w(h). Factor i(l).
-(l - 2)**3
Let y = 3931 - 11609/3. Let o = 62 - y. Factor 0*i + o*i**2 + 0 - 2/3*i**3.
-2*i**2*(i - 1)/3
Let o(v) = 10*v**3 - 12*v**2 + 4. Let i(r) = 31*r**3 - 36*r**2 + 12. Let d(l) = -2*i(l) + 7*o(l). Suppose d(q) = 0. Calculate q.
-1/2, 1
Suppose -4*u - 4*x = -32, 3*u - u - 26 = -4*x. Find p such that 0*p + 0 + 0*p**2 - 1/3*p**4 + 0*p**u = 0.
0
Determine p so that -5 - p**2 + 2*p**2 - 3 + 11*p - 4*p = 0.
-8, 1
Let k(q) be the first derivative of -8*q**5/75 + 13*q**4/30 - 2*q**3/3 + 7*q**2/15 - 2*q/15 - 5. What is x in k(x) = 0?
1/4, 1
Let g(p) = p**2 - 1. Let o be g(1). Suppose 2*y - 2*y + o*y - 3*y**2 = 0. What is y?
0
Determine r, given that 0*r**2 + 1/3 - 2/3*r**3 - 1/3*r**4 + 2/3*r = 0.
-1, 1
Suppose -3*d - 2*d + 20 = 0. Let z = 3030/7 + -432. Find m, given that z*m**3 + 10/7*m**2 - 8/7*m**d - 6/7*m - 2/7 = 0.
-1, -1/4, 1
Let r = -5 + 0. Let d = r - -8. Let 2*y**3 + y**2 + 2*y**4 - d*y**2 - y**5 - y**5 + 0*y**3 = 0. What is y?
-1, 0, 1
Factor 1/2*c - 1/2*c**2 + 0.
-c*(c - 1)/2
Let c(r) be the third derivative of -r**5/30 - r**4/12 + 2*r**3/3 + 5*r**2. Factor c(v).
-2*(v - 1)*(v + 2)
Determine t so that -9/5*t**2 - 3/5*t + 3/5*t**4 + 6/5 + 3/5*t**3 = 0.
-2, -1, 1
Find n, given that 2*n**4 + 4*n - 6*n**2 + 0*n**4 + 0*n**4 = 0.
-2, 0, 1
Let m be (-3)/((-6)/4) + (-12)/6. Factor 2/7*n - 12/7*n**2 + m + 10/7*n**3.
2*n*(n - 1)*(5*n - 1)/7
Suppose -5*b = -4*b. Let x = 2 - b. What is u in 2*u + 4*u**2 - u**2 + 2*u**x = 0?
-2/5, 0
Determine z so that -30*z + 135 + 5/3*z**2 = 0.
9
Let b be 16/6*(-12)/(-8). Let g(z) be the first derivative of -1 + 1/2*z**2 - 2*z - 1/4*z**b + 2/3*z**3. Find c such that g(c) = 0.
-1, 1, 2
Let l = -942 - -12269/13. Let n = 233/117 - l. Factor 8/9*k**3 + 8/9*k + 2/9*k**4 + 4/3*k**2 + n.
2*(k + 1)**4/9
Let d be (3 + -2)/(1/5). Let q = -1 + d. Solve 2*i + 1 - 2 - 3*i**q + 4*i**4 - 2*i**3 = 0.
-1, 1
Let a(n) be the first derivative of n**4/5 + 16*n**3/15 + 2*n**2 + 8*n/5 + 31. Solve a(w) = 0.
-2, -1
Let s be 0/102 - 8/(-9). What is l in 8/9*l + 2/9*l**2 + s = 0?
-2
Let b = -1 - -4. Suppose -2*v - 4*g + 6 = 0, -v - 2*g = 2*g - b. Let 0*t**v - t**3 + t**2 - 2*t**2 = 0. What is t?
-1, 0
Let o(d) = 2*d**2. Suppose 5*v = -4*k - 6, 0*k - 4*k + 2 = v. Let m be o(k). Factor -m - a**2 + 0 + 3*a + 6*a**2.
(a + 1)*(5*a - 2)
Let o(g) = 12*g**2 + 12*g - 6. Let m(y) = -y**2 - y. Let x = -1 + 4. Suppose -x*p - 3 + 6 = 0. Let n(d) = p*o(d) + 9*m(d). Let n(a) = 0. What is a?
-2, 1
Suppose 15 = 2*y + 3*y. Let q(g) be the third derivative of 0 + 0*g**y + 0*g**4 - 1/735*g**7 + 0*g**6 + 0*g + 2*g**2 + 1/210*g**5. Factor q(k).
-2*k**2*(k - 1)*(k + 1)/7
Suppose -3*n = 0, 2*y = 4*n + 15 - 3. Let v = y - 4. Find a such that 0 + 3/5*a**v + 0*a = 0.
0
Let k(t) be the second derivative of 15*t**4/4 - 11*t**3/2 + 3*t**2 + 4*t. Find u, given that k(u) = 0.
1/3, 2/5
Let m(b) be the first derivative of -5*b**7/42 - b**6/10 + 17*b**5/20 + 19*b**4/12 - 2*b**2 + 2*b + 5. Let g(s) be the first derivative of m(s). Factor g(c).
-(c - 2)*(c + 1)**3*(5*c - 2)
Factor -4*c**2 + 4*c**3 + 5*c**3 + 2*c**3 - 15*c**3 + 20*c - 12.
-4*(c - 1)**2*(c + 3)
Let f(i) be the first derivative of 28/3*i**2 - 23/6*i**4 + 4/3*i**3 + 6 + 14/15*i**5 - 16/3*i. Solve f(s) = 0.
-1, 2/7, 2
Suppose -28*f**4 - 16*f**5 - 27*f**2 - 13*f**2 - 80*f**3 + 4 - 32*f**4 = 0. What is f?
-1, 1/4
Let x(a) be the second derivative of -a**6/60 - 2*a**5/35 - a**4/28 + 2*a**3/21 + a**2/2 + 3*a. Let v(b) be the first derivative of x(b). Factor v(j).
-2*(j + 1)**2*(7*j - 2)/7
Determine h, given that 9*h**3 + 2*h + 15*h**4 + 21*h**2 + 2*h - 3*h**5 - 36*h**3 - 10*h = 0.
0, 1, 2
Let x be ((9/(-14))/(46/(-805)))/6. Factor 1/8*w**3 - 9/8 - 7/8*w**2 + x*w.
(w - 3)**2*(w - 1)/8
Let a(i) be the third derivative of 1/245*i**7 - 1/70*i**5 + 1/42*i**4 + 0*i + 0*i**3 + 5/1176*i**8 + 0 - 1/60*i**6 + 3*i**2. Let a(z) = 0. Calculate z.
-1, 0, 2/5, 1
Let q(h) be the third derivative of -h**9/21168 + h**7/2940 - h**5/840 + h**3 - 8*h**2. Let y(z) be the first derivative of q(z). Factor y(u).
-u*(u - 1)**2*(u + 1)**2/7
Let q(u) = -u**2 - u + 1. Let o(d) = -10*d**2 - 12*d + 9. Let y(z) = 4*o(z) - 36*q(z). Find g, given that y(g) = 0.
-3, 0
Solve 5*u**2 - 257 - 7*u**4 - 5*u + 9*u**3 - 4*u + 259 = 0.
-1, 2/7, 1
Let g be 0/((2 + -3)/(-1)). Suppose 4*f = g, 0 = -z - 0*z - 3*f. Factor 10*a - 9*a**2 - 4*a + z*a**2.
-3*a*(3*a - 2)
Suppose 0 = -n + 1 + 2. Factor -h**2 + 2*h**2 + h**4 + 8*h**n - 6*h**3.
h**2*(h + 1)**2
Suppose 0 = -3*a + a + 6. Factor 2*u**4 - u**2 + 0*u**2 - u + u**a - u**4.
u*(u - 1)*(u + 1)**2
Let r be (-2)/5 + (-4)/(-10). Let w = -1229/2 + 615. Suppose -w*m**4 + 1/2*m**2 + r*m**3 - 1/4*m**5 + 0 + 1/4*m = 0. Calculate m.
-1, 0, 1
Let w(j) be the first derivative of -j**6/360 + j**5/40 - j**4/12 - 5*j**3/3 - 8. Let z(n) be the third derivative of w(n). Let z(u) = 0. What is u?
1, 2
Suppose 0*h - 12 = -4*h. Let d(g) be the second derivative of -3/20*g**5 + 0 - 4*g**h + 6*g**2 + 5/4*g**4 - g. Suppose d(n) = 0. What is n?
1, 2
Let n(r) be the third derivative of r**7/1155 + r**6/660 - r**5/110 - 5*r**4/132 - 2*r**3/33 - 16*r**2. Find l such that n(l) = 0.
-1, 2
Suppose 10*a - 21 = 3*a. Let k(f) be the first derivative of 0*f**2 - 1/3*f**a + 1/4*f**4 + 0*f + 2. Determine l, given that k(l) = 0.
0, 1
Let a be (-16)/30*(-27)/36. Suppose 0 + 2*t**2 - a*t = 0. Calculate t.
0, 1/5
Let m(r) be the third derivative of -r**6/840 + r**5/420 + 5*r**4/168 + r**3/14 - 5*r**2. Factor m(p).
-(p - 3)*(p + 1)**2/7
Let o(d) = -2*d. Let t be o(-5). Suppose 25/3*r**2 - t*r + 3 = 0. What is r?
3/5
Suppose 0*p + 5/3*p**3 - 4/3 - 3*p**5 + 5*p**2 - 5*p**4 = 0. What is p?
-1, 2/3
Let l be (-45)/(-36) - (-1)/(-2). Let a(z) be the first derivative of -1 - z - 1/6*z**3 + l*z**2. Factor a(x).
-(x - 2)*(x - 1)/2
Suppose 2*y - 6 = 8. Factor -2*u + 10*u**2 - y*u**2 - 2*u**2.
u*(u - 2)
Let z(y) be the second derivative of y**8/840 - y**3/6 + 3*y. Let a(d) be the second derivative of z(d). Suppose a(n) = 0. Calculate n.
0
Let j(z) be the second derivative of 2/21*z**7 + 2/5*z**6 - 4/3*z**3 - z**4 + 1/5*z**5 + 0*z**2 + 0 + 7*z. Let j(c) = 0. What is c?
-2, -1, 0, 1
Factor 2*t**2 - t**2 - 8 + 5*t**2 + 2*t**4 - 19*t**3 + 11*t**3 + 8*t.
2*(t - 2)**2*(t - 1)*(t + 1)
Let d(k) be the first derivative of 1/2*k**2 + 0*k**3 + 0*k + 1/30*k**5 + 1 + 0*k**4. Let o(h) be the second derivative of d(h). Factor o(n).
2*n**2
Let a be (-24)/(-90) - 2/12. Let w(d) be the second derivative of a*d**4 - 2*d + 1/5*d**3 + 1/5*d**2 + 1/50*d**5 + 0. Factor w(u).
2*(u + 1)**3/5
Let c = -20/13 - -270/91. Let w(y) = y + 2. Let l be w(0). Factor -2/7*d**5 + c*d**4 + 2/7 + 20/7*d**l - 10/7*d - 20/7*d**3.
-2*(d - 1)**5/7
Let n(m) be the third derivative of -5/36*m**4 + 1/63*m**7 - 1/504*m**8 + 1/9*m**3 + m**2 + 0 + 1/9*m**5 - 1/18*m**6 + 0*m. Factor n(w).
-2*(w - 1)**5/3
Let w(l) be the second derivative of -l**5/100 + l**4/20 - l**3/10 + l**2/10 + 10*l. Factor w(a).
-(a - 1)**3/5
Let y(o) = o**3 - 4*o**2 - 5*o + 2. Let m be y(5). Suppose -2*h - 4*h**2 + h**m + 2*h**2 - 1 = 0. What is h?
-1
Let x(r) be the third derivative of 0 - 1/120*r**5 + 0*r**4 + 0*r + 0*r**3 - 6*r**2. Factor x(y).
-y**2/2
Factor -18*g**2 + 23*g**2 + 8*g + 23*g**2.
4*g*(7*g + 2)
Let k(b) = -9*b**5 + 6*b**3 + 6*b**2 + 3*b. Let f(p) = -8*p**5 + 6*p**3 + 5*p**2 + 2*p. Let u(i) = -6*f(i) + 5*k(i). Find y, given that u(y) = 0.
-1, 0, 1
Let m(z) = -z**2 + 2*z + 4. Let a be m(3). Let q be 1/(a/(-4)*-6). Factor -q*b + 0*b**2 + 2/3*b**3 + 0.
2*b*(b - 1)*(b + 1)/3
Let i(v) = -v**2 - 17*v + 21. Let w be i(-18). Determine g so that -2/9*g**5 - 4/9 - 8/9*g**w - 4/9*g**2 + 8/9*g**4 + 10/9*g = 0.
-1, 1, 2
Suppose 2*x - x = 2. Let q(y) be the first derivative of -4/7*y + 1/7*y**x + 2/21*y**3 + 2. Let q(d) = 0. What is d?
-2, 1
Let r(l) = l**2 - 7*l - 26. Let d be r(10). Let s(f) be the first derivative of 3/16*f**d + 0*f**2 - 1/4*f**3 + 0*f - 1. Let s(h) = 0. Calculate h.
0, 1
Solve -1/2*v**4 + 0 + 0*v - 2*v**2 + 2*v**3 = 0.
0, 2
Let i(g) = -3*g**2 + 34*g - 43. Let l(n) = -11*n**2 + 138*n - 171. Let j(w) = 9*i(w) - 2*l(w). Suppose j(r) = 0. What is r?
3
Let o(c) be the third derivative of c**7/2100 + c**