**2 + 6/25*d**5. Let f(q) = 0. Calculate q.
-2/7, 0, 1
Let v = 6 + -2. Let -3*t**4 - t**2 - t**3 - 3*t**3 - 4*t**3 + v*t**3 = 0. Calculate t.
-1, -1/3, 0
Let d = 5 - 5. Let t(n) be the third derivative of -1/35*n**7 - 1/168*n**8 + 0*n + 3*n**2 + 0 + d*n**6 + 2/15*n**5 + 0*n**3 + 0*n**4. Factor t(b).
-2*b**2*(b - 1)*(b + 2)**2
Factor 2*u**4 + 5*u**4 - 10*u**4 + 0*u**4.
-3*u**4
Let h = -53 - -58. Determine w, given that 0*w + 0*w**2 - 1/2*w**3 + 1/2*w**h + 0 + 0*w**4 = 0.
-1, 0, 1
Suppose 210*w**4 - 45*w**2 + 25*w**3 + 35*w - 12 - 215*w**4 + 2 = 0. Calculate w.
1, 2
Let d be (-17 - -5) + (-4)/2. Let g be (-64)/(-78) + d/91. Suppose g*f + 4*f**3 + 2/3*f**5 - 8/3*f**4 - 8/3*f**2 + 0 = 0. What is f?
0, 1
Let o(b) be the second derivative of -7*b**6/15 + 27*b**5/40 + b**4/8 - b**3/6 - 4*b. What is f in o(f) = 0?
-2/7, 0, 1/4, 1
Suppose 4*q = -5*s - 10, 0 = -s + 5*q - q - 2. Let j = 0 - s. Factor 2/3*b**3 - 4/3 + 0*b**j - 2*b.
2*(b - 2)*(b + 1)**2/3
Let d(v) be the second derivative of -v**5/40 - 5*v**4/24 - v**3/3 - 27*v. Solve d(x) = 0.
-4, -1, 0
Let t(c) = 3*c + 26. Let q be t(-8). Let o be (-2)/4*1 - -1. Factor o*u**4 - 1/2*u**3 + 1/2*u - 1/2*u**q + 0.
u*(u - 1)**2*(u + 1)/2
Let u(h) be the first derivative of 0*h - 3 - 5/4*h**4 - 1/2*h**6 + 0*h**2 - 7/5*h**5 - 1/3*h**3. Suppose u(z) = 0. What is z?
-1, -1/3, 0
Let f(m) be the first derivative of 0*m**2 + 0*m + 1/12*m**3 + 1/16*m**4 - 4. Factor f(i).
i**2*(i + 1)/4
Let n(r) be the third derivative of -r**6/900 - 2*r**5/225 - r**4/36 - 2*r**3/45 + 9*r**2. Factor n(h).
-2*(h + 1)**2*(h + 2)/15
Let r(q) be the third derivative of -q**5/210 - q**4/28 - 2*q**3/21 - 6*q**2. Determine c so that r(c) = 0.
-2, -1
Let j = 47/78 - 4/39. Suppose 3*q - 10 = -1. Find c, given that -1/2 + j*c**2 + 1/2*c**q - 1/2*c = 0.
-1, 1
Let f(z) be the first derivative of -z**6/2 + 3*z**4/4 + 1. Factor f(o).
-3*o**3*(o - 1)*(o + 1)
Let j be 3 + (0 - (1 + 5)). Let m be (2/6 - j) + -3. Solve -1/3 + m*k**3 + k - k**2 = 0.
1
Suppose -2*a - 10 = 4*g, 0 = -9*a + 4*a - g + 20. Let f(s) be the second derivative of -s - 2/5*s**2 + 1/100*s**a + 0 + 4/15*s**3 - 1/12*s**4. Factor f(b).
(b - 2)**2*(b - 1)/5
Suppose 2*q - u = u + 12, u = 4*q - 12. Suppose x + q*x = -4*j, 5*x = 0. Factor -2/3*y**2 + j*y**3 + 0*y + 1/3 + 1/3*y**4.
(y - 1)**2*(y + 1)**2/3
Find f such that -1/4*f**3 - f**2 - 5/4*f - 1/2 = 0.
-2, -1
Let d(w) be the first derivative of -w**6/3 + 8*w**5/5 - 2*w**4 + 8. Factor d(z).
-2*z**3*(z - 2)**2
Let h be 2/7 + 0*5/35. Factor -2/7*o + 0 - 4/7*o**2 - h*o**3.
-2*o*(o + 1)**2/7
Let t(x) = x**2 - 4*x + 1. Let k be t(4). Let a(o) = 4*o**2 + 5*o - 4. Let l(s) = s**2 + s - 1. Let p(z) = k*a(z) - 5*l(z). Factor p(m).
-(m - 1)*(m + 1)
Let c(s) = s**3 - 6*s + 5. Let g be c(1). Let p(j) be the first derivative of g*j**3 - 2/45*j**5 - 2/9*j**2 + 2/9*j + 1/9*j**4 + 4. What is f in p(f) = 0?
-1, 1
Let c(t) be the second derivative of t**5/10 + t**4/3 - 7*t**3/3 + 4*t**2 - 2*t - 15. Factor c(y).
2*(y - 1)**2*(y + 4)
Suppose -5*d = -4*p - 8, -d = 3*p + 6 - 0. Suppose d = f + 2*f. Solve f*o + 1/3*o**2 + 1/3*o**3 + 0 = 0 for o.
-1, 0
Let b = -5 + 7. Let w(l) = l**4 - l**3 + l. Let x(z) = -z**4 + 7*z**3 - 9*z**2 + 5*z. Let d(a) = b*w(a) - x(a). Factor d(m).
3*m*(m - 1)**3
Let f(p) be the third derivative of 1/60*p**4 - 1/300*p**6 - 1/210*p**7 + 0 + 1/60*p**5 + 0*p**3 + 2*p**2 + 0*p. Factor f(d).
-d*(d - 1)*(d + 1)*(5*d + 2)/5
Let k = -4 - -7. Factor 6*u**k + 9*u**3 + 6*u**3 - 20*u**3 - u.
u*(u - 1)*(u + 1)
Let u(j) be the third derivative of 0*j**4 + 0 + 4*j**2 + 1/630*j**7 + 0*j + 1/1008*j**8 + 0*j**6 + 0*j**3 + 0*j**5. Factor u(v).
v**4*(v + 1)/3
Suppose -2*k + 6*k - 8 = 0. Find o such that o**3 - 3*o**3 + 3*o**2 - o**k = 0.
0, 1
Suppose 0 = -2*g + 5*q - 24, 2*g + 2 = 7*g + 3*q. Let s be (-4 - g)*(-10)/4. Determine r, given that -1/3*r - 4/3*r**2 + 0 + r**s + 4/3*r**4 - 2/3*r**3 = 0.
-1, -1/3, 0, 1
Suppose -169*x + 168*x = -2. Suppose 1/4*k**x + 1/4 + 1/2*k = 0. Calculate k.
-1
Let d = -5 + 7. Let s(o) = 11*o**4 + 21*o**3 - 2*o**2 - 12*o + 2. Let a(f) = 12*f**4 + 21*f**3 - 3*f**2 - 12*f + 3. Let g(n) = d*a(n) - 3*s(n). Factor g(t).
-3*t*(t + 1)*(t + 2)*(3*t - 2)
Factor 2/3*c**3 - 2/3*c + 2/3*c**2 - 2/3.
2*(c - 1)*(c + 1)**2/3
Let x(g) be the third derivative of -g**5/210 - g**4/84 - 6*g**2. Factor x(n).
-2*n*(n + 1)/7
Let v(i) be the second derivative of i**6/195 - 2*i**5/65 + i**4/39 + 4*i**3/39 - 3*i**2/13 - i + 1. Suppose v(z) = 0. Calculate z.
-1, 1, 3
Let k(v) be the third derivative of 1/6*v**4 + 1/30*v**5 + 0*v - 1/105*v**7 + 0 - 1/30*v**6 + 0*v**3 + 3*v**2. Solve k(j) = 0 for j.
-2, -1, 0, 1
Let q(u) be the second derivative of u**7/504 + 7*u**6/360 + u**5/16 + 13*u**4/144 + u**3/18 - 37*u. Factor q(f).
f*(f + 1)**3*(f + 4)/12
Let a = -70/9 - -82/9. Let l be (1/(-3))/((-1)/2). Factor -2/3 - a*j - l*j**2.
-2*(j + 1)**2/3
Suppose 0 + 1/6*o**5 - 1/3*o**3 + 0*o**2 + 1/6*o**4 + 0*o = 0. What is o?
-2, 0, 1
Let i(h) be the first derivative of -7*h**6/1980 - 19*h**5/660 + h**4/22 - 2*h**3 - 2. Let r(x) be the third derivative of i(x). Factor r(s).
-2*(s + 3)*(7*s - 2)/11
Let x(b) be the third derivative of -2/735*b**7 - 2/21*b**3 + 0*b - 8*b**2 - 1/210*b**6 + 1/84*b**4 + 1/1176*b**8 + 2/105*b**5 + 0. Suppose x(o) = 0. What is o?
-1, 1, 2
Let f be ((-1480)/16)/((-2)/4). Let g = -2033/11 + f. Factor g*c**2 + 0*c + 0.
2*c**2/11
Factor -g + 4*g**5 - 8*g**2 - 3*g - 109*g**4 + 117*g**4.
4*g*(g - 1)*(g + 1)**3
Determine u, given that 0*u + 2/5 - 2/5*u**2 = 0.
-1, 1
Let 1/2 + 9/4*y**2 + 11/4*y = 0. What is y?
-1, -2/9
Let i(l) be the third derivative of -l**6/1020 + 3*l**5/170 - 2*l**4/51 + l**2 + 13. Determine s so that i(s) = 0.
0, 1, 8
Find v such that 15*v**2 - 9*v**3 - 12*v**4 - 15*v**2 - 3*v**5 = 0.
-3, -1, 0
Let m = 739/18 - 41. Let d(l) be the second derivative of -31/36*l**4 + 2*l + m*l**3 + 1/3*l**2 + 29/90*l**6 + 0 - 29/60*l**5 + 2/9*l**7. Solve d(a) = 0.
-1, -2/7, 1/4, 1
Let w(a) = -a - 4. Let c be w(-9). Suppose -4*o + r = 11 - 31, -c*o + r = -24. Solve -2/7 + 2*z + 26/7*z**3 - 30/7*z**2 - 8/7*z**o = 0 for z.
1/4, 1
Let h(j) = 4*j**3 + 20*j**2 + 12*j + 8. Let i(o) = -4*o**3 - 19*o**2 - 12*o - 6. Let s(t) = -3*h(t) - 4*i(t). Let s(g) = 0. What is g?
-3, -1, 0
Factor 4*p + p**3 - p**2 + 3*p**2 + p**2 + p**2.
p*(p + 2)**2
Factor 18/11*w**3 + 6/11*w**4 + 6/11*w + 18/11*w**2 + 0.
6*w*(w + 1)**3/11
Let c(q) be the first derivative of 0*q - 6/35*q**5 + 0*q**2 + 3 - 2/21*q**3 - 1/21*q**6 - 3/14*q**4. Factor c(u).
-2*u**2*(u + 1)**3/7
Let n be 6/(-3) - (35 - 2). Let c be (-4)/n + 16/56. Factor -4/5*z**2 - c*z**5 - 2*z**3 + 0*z - 8/5*z**4 + 0.
-2*z**2*(z + 1)**2*(z + 2)/5
Let u(v) = 2*v. Let q(s) = -s**3 + 2*s**2 - 15*s. Let t(j) = -2*q(j) - 14*u(j). Factor t(l).
2*l*(l - 1)**2
Suppose 0*k + 9 = s + 3*k, 0 = 2*s + 2*k - 2. Let u = s + 5. Factor -u*i - 2*i**3 - 8 + 0*i + 2*i + 6*i**2.
-2*(i - 2)**2*(i + 1)
Find g, given that -g**2 + g**2 - 3*g**2 = 0.
0
Let v be (-1)/(-2)*6 + 1. Suppose 0 = -6*n + 3*n + 4*t + 6, -2*n + 4*t = -4. Factor -4/5*j**3 + 0*j**n + 2/5*j**5 + 0 + 2/5*j + 0*j**v.
2*j*(j - 1)**2*(j + 1)**2/5
Let d(j) be the second derivative of 0*j**2 + 5/54*j**4 - 7/90*j**5 - 6*j + 2/27*j**3 + 0. Factor d(a).
-2*a*(a - 1)*(7*a + 2)/9
Let l be 5 + (5 + -17)/6. Let -1/3 + 5/6*u + 1/6*u**l - 2/3*u**2 = 0. What is u?
1, 2
Suppose 3*n + 3*t + 35 = 332, t = 3*n - 301. Let y be n/90*(-3)/(-5). Factor -2/3*w**3 + 2/3 - y*w**2 + 2/3*w.
-2*(w - 1)*(w + 1)**2/3
Let k be (-64)/24*(-9)/6. What is q in -2/5*q**k + 0 - 2/5*q + 2/5*q**2 + 2/5*q**3 = 0?
-1, 0, 1
Determine a so that 1/3*a + 1/9*a**3 + 1/9 + 1/3*a**2 = 0.
-1
Suppose 32*x + 12*x = 0. Factor -1/3*k + x + 1/3*k**2.
k*(k - 1)/3
Let f(o) be the first derivative of -2*o**2 + 2*o + 2/3*o**3 + 3. Factor f(u).
2*(u - 1)**2
Let o = 637/3 + -212. Factor -2/3*p + 0 + p**2 - o*p**3.
-p*(p - 2)*(p - 1)/3
Let k(t) be the first derivative of -15*t**4 + 112*t**3/3 - 22*t**2 - 8*t - 41. Factor k(x).
-4*(x - 1)**2*(15*x + 2)
Let z be (-6)/(-4) - (7 - (11 - 5)). Let n = -24 - -27. Determine q so that 0*q - 1/2*q**n + 1/2*q**2 - 1/2*q**4 + 0 + z*q**5 = 0.
-1, 0, 1
Let s be 1/2 + 9/6. Let q(o) be the second derivative of 0 - 1/3*o**s + 0*o**3 + 3*o + 1/18*o**4. Solve q(r) = 0.
-1, 1
Let w(m) be the third d