*3 + 6*t + 0*t**2. Factor o(f).
-2*f**3*(f + 1)/9
Suppose -8*i + 3*i = 0. Let s(m) be the second derivative of 0 + m + 1/3*m**4 + 1/10*m**5 + 1/3*m**3 + i*m**2. Factor s(c).
2*c*(c + 1)**2
Let r be 1/(-4 + -1)*0. Let d(y) be the third derivative of 0 - 1/120*y**5 - 1/240*y**6 - y**2 + 1/48*y**4 + r*y**3 + 1/420*y**7 + 0*y. Factor d(g).
g*(g - 1)**2*(g + 1)/2
Let s(c) be the third derivative of 1/90*c**6 + 0 - 7/180*c**5 + 1/18*c**3 + 0*c + 1/36*c**4 + 4*c**2. Factor s(r).
(r - 1)**2*(4*r + 1)/3
Let p(c) be the third derivative of 3*c**7/280 - 19*c**6/240 + 53*c**5/240 - 7*c**4/24 + c**3/6 - 38*c**2. Solve p(a) = 0 for a.
2/9, 1, 2
Let x(g) be the third derivative of g**8/1008 - g**7/70 + 31*g**6/360 - 17*g**5/60 + 5*g**4/9 - 2*g**3/3 - g**2 - 16. Find b, given that x(b) = 0.
1, 2, 3
Let x(a) be the third derivative of -a**10/151200 + a**8/20160 + a**5/20 - a**2. Let q(g) be the third derivative of x(g). Let q(d) = 0. Calculate d.
-1, 0, 1
Let u(z) be the third derivative of -1/36*z**5 + 0 - 1/9*z**3 + 6*z**2 + 7/72*z**4 + 0*z. Factor u(r).
-(r - 1)*(5*r - 2)/3
Let s be -2 - (-2 - (-1201)/(-684)). Let v = s + -1/171. Factor -1/4*p - 1/2 + 15/4*p**2 + v*p**4 - 19/4*p**3.
(p - 1)**3*(7*p + 2)/4
Let l(y) = y**3 - 5*y**2 + 5*y - 4. Let d be l(4). Suppose -8*o + 3*o + 5 = 5*r, r - 4*o - 26 = d. Factor j**2 + 0*j**2 + 2*j + r*j**3 + 2*j**4 + 5*j**2.
2*j*(j + 1)**3
Factor -1/4*n**3 + 0 - 5/4*n**2 - 3/2*n.
-n*(n + 2)*(n + 3)/4
Let v(b) be the first derivative of -b**5/6 - 5*b**4/24 + 5*b**3/6 + 5*b**2/12 - 5*b/3 + 3. Suppose v(d) = 0. Calculate d.
-2, -1, 1
Suppose -5*z + 16 = -z. Let q(i) be the second derivative of -1/6*i**z - 1/3*i**3 + 0 + 0*i**2 - i. Factor q(f).
-2*f*(f + 1)
Suppose 5*r - 7 = -2, 2*m - 5*r - 3 = 0. Determine j, given that -3*j**3 + j**m + 5*j**3 - j**5 + 1 - j + 0*j - 2*j**2 + 0*j**3 = 0.
-1, 1
Suppose -n - 136 = -35*n. Let 0*j**2 - 1/6*j**5 + 0 + 0*j + 1/6*j**3 + 0*j**n = 0. What is j?
-1, 0, 1
Let c(n) be the third derivative of n**8/13440 - n**7/1008 + n**6/180 - n**5/60 - n**4/8 + 3*n**2. Let s(i) be the second derivative of c(i). Factor s(q).
(q - 2)**2*(q - 1)/2
Let a(u) be the first derivative of -5*u**4/4 - 5*u**3 - 5*u**2 - 10. Factor a(i).
-5*i*(i + 1)*(i + 2)
Let c(s) be the first derivative of s**3 + s**2/2 - 2*s + 6. Let t(j) = 16*j**2 + 5*j - 11. Let o(v) = -11*c(v) + 2*t(v). Factor o(n).
-n*(n + 1)
Let z(o) be the first derivative of o**6/21 + 6*o**5/35 + o**4/14 - 2*o**3/7 - 2*o**2/7 - 4. Solve z(p) = 0 for p.
-2, -1, 0, 1
Let v(n) be the second derivative of n**4/3 - 8*n**3/3 + 8*n**2 - 12*n. Solve v(z) = 0 for z.
2
Let n = 1/57 + 397/114. What is q in -1 + n*q - 5/2*q**2 = 0?
2/5, 1
Let x(z) be the second derivative of -z**5/70 + 2*z**4/21 - 4*z**3/21 - 22*z. Suppose x(f) = 0. What is f?
0, 2
Let y(z) be the second derivative of 0 - 1/12*z**4 - 1/60*z**5 + 0*z**3 - 1/2*z**2 + 3*z. Let g(r) be the first derivative of y(r). Factor g(j).
-j*(j + 2)
Factor -3*a**2 - 7*a + 3*a - 245*a**3 + a**2 + 2*a**4 + 249*a**3.
2*a*(a - 1)*(a + 1)*(a + 2)
Let s be 20/(-6)*18/(-15). Let 3*h**3 - 3*h**2 - 7*h**4 + 10*h**s - h - 2*h = 0. What is h?
-1, 0, 1
Let y(w) be the second derivative of 2*w**6/135 + 2*w**5/45 - w**4/27 - 4*w**3/27 - 23*w. Factor y(h).
4*h*(h - 1)*(h + 1)*(h + 2)/9
Suppose -2*l = 3*z - 5*z - 16, -15 = 3*z. Solve 1/4*i**2 + 0*i**l - 1/4*i**4 + 0 + 0*i = 0 for i.
-1, 0, 1
Let y(h) be the second derivative of 3*h**5/10 - 7*h**4/6 + 5*h**3/3 - h**2 - 4*h. Factor y(m).
2*(m - 1)**2*(3*m - 1)
Suppose -2*w = -3*z + 8, -z + w + 4 = -0*z. Suppose z = h + 3*h - 4. Factor h + 2*d**3 - 2*d - 2 - 4*d**2 + 5.
2*(d - 2)*(d - 1)*(d + 1)
Let y(s) be the first derivative of 9*s**4/4 + s**3 - 3*s**2 - 5. Factor y(j).
3*j*(j + 1)*(3*j - 2)
Let j = 65 + -65. Determine r so that 2/5*r**2 + j + 6/5*r = 0.
-3, 0
Solve -94*k**3 + 3*k**4 + 94*k**3 - 3*k**5 = 0 for k.
0, 1
Let i = 2 + 0. Factor -o**2 - o**2 - i*o**2 + 3*o**2.
-o**2
Let j be 0/(0 - -3) - (-48)/21. Let b be (-5)/(-2)*(-28)/(-35). Find u such that -10/7*u**b - j*u - 8/7 - 2/7*u**3 = 0.
-2, -1
Suppose -72 = 12*y - 96. Determine c, given that -3 - 3/2*c + 6*c**y - 3*c**4 - 3/2*c**5 + 3*c**3 = 0.
-2, -1, 1
Let n be 4/(-18) + 800/(-126). Let o = -400/63 - n. Find y such that -2/3*y - 2/3*y**2 - o - 2/9*y**3 = 0.
-1
Let q(s) be the first derivative of s**6/12 + s**5/5 + s**4/8 + 5. Let q(l) = 0. What is l?
-1, 0
Suppose -6 = 2*y - 18. Suppose -s + y*s - 10 = 0. Factor 0*r + 2/7*r**5 + 0*r**3 + 0*r**4 + 0*r**s + 0.
2*r**5/7
Let z = -126 - -130. Factor -12/5*b - 12/5*b**3 - 3/5 - 3/5*b**z - 18/5*b**2.
-3*(b + 1)**4/5
Factor -2/11*v**4 + 0*v**2 + 4/11*v - 4/11*v**3 + 2/11.
-2*(v - 1)*(v + 1)**3/11
Let f = 1018 + -5089/5. Let -f*c**2 + 1/5*c**3 + 1/5 - 1/5*c = 0. Calculate c.
-1, 1
Let h(o) = -3*o - 14. Let m be h(-6). Factor 2*q**2 + m*q**2 + 13*q**3 - 3*q**5 - 4*q**3.
-3*q**2*(q - 2)*(q + 1)**2
Let k(q) be the first derivative of q**4/18 - q**2/3 + q + 2. Let f(r) be the first derivative of k(r). Determine x so that f(x) = 0.
-1, 1
Let c(x) be the third derivative of 1/3*x**4 + 23/150*x**5 + 4/15*x**3 + 0 + 0*x - 10*x**2 + 7/300*x**6. Factor c(u).
2*(u + 1)*(u + 2)*(7*u + 2)/5
Factor 3/2*g - 1/4*g**3 - 2 + 3/4*g**2.
-(g - 4)*(g - 1)*(g + 2)/4
Suppose p + 1 = -0*p. Let v be (-3 + p)/(2 + -3). Factor 10*d + 7 + 2*d**3 + 8*d**2 - v + 1.
2*(d + 1)**2*(d + 2)
Let z(h) be the third derivative of h**7/6300 - h**6/2700 + h**3 + 3*h**2. Let r(s) be the first derivative of z(s). Factor r(q).
2*q**2*(q - 1)/15
Let n(z) be the second derivative of -z - 1/80*z**5 + 1/24*z**3 + 0 + 1/24*z**4 - 1/4*z**2. Let n(s) = 0. Calculate s.
-1, 1, 2
Suppose -4*c - 20 = -9*c. Factor -17*i + 10*i**4 - 12*i**2 - 8*i**c + i - 6.
2*(i - 3)*(i + 1)**3
Let a(u) be the first derivative of -3 - u**2 - 2/3*u**3 + 0*u. What is v in a(v) = 0?
-1, 0
Let i(w) = 9*w**3 - 13*w + 13. Let j(c) = -2*c**3 + 3*c - 3. Let a(u) = -6*i(u) - 26*j(u). Determine n so that a(n) = 0.
0
Let v(i) be the second derivative of -i**5/120 + i**4/24 - i**2 - 2*i. Let x(l) be the first derivative of v(l). Solve x(o) = 0.
0, 2
Suppose -9 = -3*n - 0. Let f(d) be the first derivative of -1/3*d**6 + 0*d**2 + 0*d**5 + 0*d + 1/2*d**4 + n + 0*d**3. Find a, given that f(a) = 0.
-1, 0, 1
Let u = -69 + 72. Factor 2/3*z**4 + 0 - 4/3*z + 0*z**u - 2*z**2.
2*z*(z - 2)*(z + 1)**2/3
Let m(a) be the first derivative of 6*a**5/25 + 4*a**4/5 + 4*a**3/5 - 2*a/5 - 11. Factor m(f).
2*(f + 1)**3*(3*f - 1)/5
Let u(s) = 13*s**2 + 19*s + 1. Let j(b) = -37*b**2 - 56*b - 4. Let k(i) = 3*j(i) + 8*u(i). Determine v, given that k(v) = 0.
-2, -2/7
Determine v, given that 0*v + 0 + 0*v**4 - 1/10*v**5 + 0*v**2 + 1/10*v**3 = 0.
-1, 0, 1
Let f(u) be the third derivative of 0*u + 0 - 1/6*u**3 + 7*u**2 + 0*u**4 + 1/80*u**5 + 1/480*u**6. What is w in f(w) = 0?
-2, 1
Let k = 15 + -12. Let n(a) be the first derivative of -1/2*a**2 - 1/3*a**k + 2 + 0*a. Find y, given that n(y) = 0.
-1, 0
Let u(l) be the first derivative of -l**6/75 + l**5/25 - l**4/30 + l + 3. Let c(d) be the first derivative of u(d). Let c(j) = 0. Calculate j.
0, 1
Determine u, given that 1/2 - 1/4*u**4 - 3/4*u + 3/4*u**3 - 1/4*u**2 = 0.
-1, 1, 2
Let u(b) be the second derivative of b**6/105 - b**4/21 + b**2/7 + 5*b. Solve u(j) = 0 for j.
-1, 1
Let t be 64/10 - (1 - -2). Let q = -3 + t. Let q*p**2 + 0*p + 0 = 0. What is p?
0
Let d(t) be the third derivative of 1/112*t**8 + 0*t - 1/24*t**4 + 3*t**2 - 1/60*t**6 - 2/105*t**7 + 0 + 1/15*t**5 + 0*t**3. Determine z, given that d(z) = 0.
-1, 0, 1/3, 1
Let c(s) be the first derivative of s**5/45 - s**4/36 - s**3/27 + s**2/18 - 3. Suppose c(n) = 0. What is n?
-1, 0, 1
Let r be 0 + 2 + 1 + 0. Let v - v + 12*v + 12 + r*v**2 = 0. Calculate v.
-2
Let m(y) = -y**2 - 11*y - 8. Let f be m(-10). Determine x, given that -f*x**2 - x**2 - 4*x + 8*x**3 - 6*x**4 + 5*x**2 = 0.
-2/3, 0, 1
Let m be (2 - (-39)/(-15))*-5. Let n(g) be the second derivative of -3/70*g**5 - 1/42*g**4 - 1/147*g**7 + 0*g**2 - 1/35*g**6 + 0*g**3 + m*g + 0. Factor n(v).
-2*v**2*(v + 1)**3/7
Factor 5*g**2 - 3*g**2 - 8 + 3*g + g**5 - 4*g**3 + 6.
(g - 1)**3*(g + 1)*(g + 2)
Let j(a) be the first derivative of a**4/10 - 2*a**3/15 - a**2/5 + 2*a/5 - 19. Find q, given that j(q) = 0.
-1, 1
Let x(t) be the first deriva