*i - 6/7*i**3 = 0.
-2, 1/3, 1
Let v = 1/194 - -1547/970. Let q(z) be the first derivative of 1/10*z**4 - 1 - v*z**3 - 128/5*z + 48/5*z**2. Factor q(d).
2*(d - 4)**3/5
Let r(u) = u + 1. Suppose 0 = 8*d - 27 - 21. Let q be r(d). Suppose -7 + q - 5*g**2 = 0. What is g?
0
Suppose -138*v - 12 = -135*v. Let r be ((-1)/v)/(12/16). Factor 0*i + r*i**2 + 1/3*i**3 + 0.
i**2*(i + 1)/3
Suppose 3*j = z + 2*j - 1, 0 = -4*z - 3*j + 39. Let a(r) be the first derivative of 0*r + 0*r**4 + 0*r**2 - 6 + 6/35*r**5 + 1/14*r**z + 0*r**3. Factor a(f).
3*f**4*(f + 2)/7
Let j(p) be the third derivative of -p**5/360 + p**4/8 - 132*p**2. Solve j(u) = 0.
0, 18
Let p(k) be the third derivative of 0*k + 0 - 1/15*k**5 - 7*k**2 + 2*k**3 + 1/3*k**4. What is l in p(l) = 0?
-1, 3
Suppose -84 = 30*c - 27*c. Let o be c/(-8) - 6/4. Factor -4/3*t**o + 0*t + 0*t**3 + 2/3 + 2/3*t**4.
2*(t - 1)**2*(t + 1)**2/3
Let 4/3*v - 2/3*v**4 + v**3 + 0 - 1/3*v**5 + 8/3*v**2 = 0. Calculate v.
-2, -1, 0, 2
Let j(h) be the first derivative of -h**3 - 21*h**2 - 72*h - 28. Factor j(l).
-3*(l + 2)*(l + 12)
Let t = -218 + 224. Let f be -1 + t/(-12)*-8. Factor 7/3*i - 7/3*i**2 - 2/3 + 2/3*i**f.
(i - 2)*(i - 1)*(2*i - 1)/3
Suppose -110 = 863*k - 973*k. Suppose -1/8*m**3 + 1/2*m - k + 1/4*m**2 = 0. Calculate m.
-2, 2
Let a(b) be the first derivative of b**6/18 - b**5/15 - b**4/4 + b**3/9 + b**2/3 - 52. Determine h so that a(h) = 0.
-1, 0, 1, 2
Suppose -7*y + 3*y - 84 = 0. Let t be (y/(-3) - 3)*1. Factor 6*s - 3*s**5 - t*s**5 + s**5 - 3*s**4 + 9*s**3 + 15*s**2 + 3*s**5.
-3*s*(s - 2)*(s + 1)**3
Factor -2/5*v**3 + 2*v**2 + 16/5*v - 24/5.
-2*(v - 6)*(v - 1)*(v + 2)/5
Let b(l) be the first derivative of 4*l**5/15 - 5*l**4/6 + 8*l**3/9 - l**2/3 - 46. Factor b(p).
2*p*(p - 1)**2*(2*p - 1)/3
Let j(n) be the third derivative of -1/35*n**7 - 10*n**2 - 11/90*n**5 + 1/6*n**4 - 11/60*n**6 + 1/72*n**8 + 0*n**3 + 0 + 0*n. Let j(v) = 0. Calculate v.
-1, 0, 2/7, 3
Suppose 21*a - 15 = 43 + 5. Factor 0*s**a + 0 - 2/3*s**4 + 0*s - 1/3*s**5 + 0*s**2.
-s**4*(s + 2)/3
Let a(i) be the second derivative of i**6/105 + i**5/35 - 4*i**4/21 - 6*i**3/7 - 9*i**2/7 - 3*i - 2. Factor a(c).
2*(c - 3)*(c + 1)**2*(c + 3)/7
Let m(u) be the second derivative of u**6/270 - u**5/90 + u**4/72 - 2*u**3/3 + 8*u. Let p(x) be the second derivative of m(x). Suppose p(j) = 0. Calculate j.
1/2
Let w(o) be the second derivative of o**6/18 - 31*o**5/180 - 5*o**4/54 + 14*o**3/27 - 4*o**2/9 - 4*o - 5. What is u in w(u) = 0?
-1, 2/5, 2/3, 2
Let r(m) be the first derivative of -8/3*m - 1/18*m**6 - 8/15*m**5 - 38/9*m**3 - 14/3*m**2 - 25/12*m**4 - 13. Find q such that r(q) = 0.
-2, -1
Suppose 3*n = -5*s + 120, -4*n = -4*s - 8*n + 96. Let q be (-1)/1 - 3*-1. Factor 142*a + q*a**3 + s*a**2 + 6 + 4*a**3 - 122*a + 2*a**4 + 6*a**3.
2*(a + 1)**3*(a + 3)
Factor -8/3*l + 4*l**2 - 4/3*l**4 + 0 + 0*l**3.
-4*l*(l - 1)**2*(l + 2)/3
Let b(u) = 3*u + 23. Let v be b(-7). Suppose 4*p - 15 = 2*m + m, p + v*m + 10 = 0. Factor -3/4*w**2 + 0*w + p.
-3*w**2/4
Find w such that -44/7*w**3 + 44/7*w - 4/7 - 117/7*w**2 + 121/7*w**4 = 0.
-1, 2/11, 1
Find z, given that -5*z**2 - 10*z**3 + 31*z**2 + 22*z**4 - 10*z - 24*z**4 - 4*z = 0.
-7, 0, 1
Suppose 8 = h - 0. Suppose 4 = 4*g - h. Let b - b - 2*b**2 + 3*b - 2*b**g + 2 - b = 0. What is b?
-1, 1
Let x(a) = -3*a**5 - 6*a**4 + 21*a**3 - 12*a**2 + 6*a + 6. Let s(t) = t**5 - t**4 - t**3 + t**2 - t - 1. Let w = -9 + 3. Let m(j) = w*s(j) - x(j). Factor m(h).
-3*h**2*(h - 2)*(h - 1)**2
Let h = -155 - -155. Let r(j) be the first derivative of 1 + 0*j + 1/9*j**3 + h*j**2. Find n such that r(n) = 0.
0
Solve -4*s**5 - 653*s**3 + 8*s + 20*s**4 - 8*s**4 + 649*s**3 - 12*s**2 = 0 for s.
-1, 0, 1, 2
Let x(w) = 3*w**2 + 9*w - 3. Let f(j) be the second derivative of j**5/20 + j**3/6 - j**2/2 + 4*j. Let r(b) = -3*f(b) + x(b). Factor r(q).
-3*q*(q - 2)*(q + 1)
Let o(c) be the first derivative of 2*c**3/33 + 4*c**2/11 + 51. Find x, given that o(x) = 0.
-4, 0
Let c(l) be the first derivative of -1/2*l**4 - 15*l**2 + 6*l**3 + 32 - 50*l. Find y, given that c(y) = 0.
-1, 5
Let c be 5 + -9 + (7 - 1). Factor 9*h**4 - 3 - 6*h**4 + 3*h**3 + 3 - 6*h**c.
3*h**2*(h - 1)*(h + 2)
Let s(x) be the second derivative of 0*x**2 + 0 - 3/8*x**5 - 1/5*x**6 + 0*x**3 + 1/4*x**4 + 7*x + 3/28*x**7. Suppose s(b) = 0. What is b?
-1, 0, 1/3, 2
Let v(x) be the first derivative of 29 + 2*x**2 - 8/9*x**3 + 0*x. Factor v(k).
-4*k*(2*k - 3)/3
Let g(h) = 11*h**2 + 6*h - 6. Let v(y) = -7 + y + 10*y**2 + 2 + 4*y. Let p(t) = -5*g(t) + 6*v(t). Factor p(x).
5*x**2
Let n be (322/(-644))/(6/(-4)). Solve n*w**3 + 0*w + 2/3*w**2 + 0 = 0.
-2, 0
Let y be 345/(-40) + (19 - (-5 + 15)). Factor 3/8*u**2 + 0 - y*u.
3*u*(u - 1)/8
Factor 0 + 290*u**2 + 2*u - 288*u**2 - 4.
2*(u - 1)*(u + 2)
Let f(u) be the first derivative of -u**5/20 + 3*u**4/8 + 2*u**3 - 8*u**2 + 20. Let m(n) be the second derivative of f(n). Factor m(d).
-3*(d - 4)*(d + 1)
Suppose -2*f - 17 = 5*p, 0*f + 4 = 5*f - 3*p. Let u be 5 + (f + -2)*1. Determine m so that 0*m - m**3 + 0 + 2/5*m**u - 7/5*m**4 = 0.
-1, 0, 2/7
Factor 160/17*w**2 + 200/17*w**3 + 2/17 - 38/17*w.
2*(w + 1)*(10*w - 1)**2/17
Suppose 12 = 4*n + 2*t, 2*n + 2 = 4*t - t. Suppose -n*k - 5 = -13. Find p such that 0*p**3 + 4*p**3 - 5*p - k*p**2 - 3*p = 0.
-1, 0, 2
Let u(d) be the first derivative of -7 - 1/48*d**4 - 6*d - 1/8*d**3 + 0*d**2. Let n(t) be the first derivative of u(t). What is w in n(w) = 0?
-3, 0
Let m be (-620)/1302*(-1 - 28/20). Suppose 8/7*c + 6/7*c**2 + 2/7*c**4 - 8/7 - m*c**3 = 0. Calculate c.
-1, 1, 2
Let c(a) be the second derivative of a**6/15 + a**5/10 - a**4/6 - a**3/3 - 185*a. Solve c(n) = 0.
-1, 0, 1
Let t = -25 - -24. Let j be (-28)/(-4) - (-5)/t. Find g, given that -2/5*g + 0 + 2/5*g**j = 0.
0, 1
Suppose 4*s - 1 = 3*s - 2*o, 0 = -5*s + 3*o + 5. Let r be s + (-25)/20 + (-1)/(-4). Factor r + 2/11*f + 2/11*f**2.
2*f*(f + 1)/11
Let i = 2/4045 - 142386/4045. Let v = 1242/35 + i. Factor -8/7 - v*z**3 - 16/7*z - 10/7*z**2.
-2*(z + 1)*(z + 2)**2/7
Let h(i) = 2*i**5 + 6*i**4 + 5*i**3 + 3*i**2 - i - 3. Let o(f) = -5*f**5 - 16*f**4 - 14*f**3 - 8*f**2 + 3*f + 8. Let b(q) = 8*h(q) + 3*o(q). Factor b(s).
s*(s - 1)**2*(s + 1)**2
Let i be 759/(-1656)*3/((-33)/2). Let f(l) be the first derivative of 0*l + 7 + 1/8*l**4 - i*l**6 + 0*l**2 - 1/6*l**3 + 1/10*l**5. Find d, given that f(d) = 0.
-1, 0, 1
Let n be (5 - 7) + 1 + 3. Determine c, given that c - 6 + 11*c - n - 4*c**3 = 0.
-2, 1
Suppose -8*q - 340 = -3*q. Let d = q + 71. Factor 4/11*p**d + 0*p + 2/11*p**2 + 0 + 2/11*p**4.
2*p**2*(p + 1)**2/11
Let p be 20*(10/5)/8. Suppose 0 = n + 2*r, -2*r = p - 3. Determine s so that -2548*s**3 - 178*s + 411*s**n - 190*s + 32 + 1372*s**4 + 1101*s**2 = 0.
2/7, 1
Let o(i) be the first derivative of 2*i**3/27 - 34*i**2/9 + 578*i/9 + 62. Solve o(n) = 0.
17
Let k = 591/14 - 81/2. Factor -k*b + 2/7*b**2 + 18/7.
2*(b - 3)**2/7
Let j(p) be the third derivative of p**6/720 - p**5/120 - p**4/16 - 5*p**3/36 + 14*p**2 - 1. Determine s so that j(s) = 0.
-1, 5
Solve 181 - 87 - 78 - 4*b**3 + 20*b**2 - 32*b = 0 for b.
1, 2
Suppose -62*w**3 + 32*w**3 + 28*w**3 + 12*w**2 + 0*w - 10*w = 0. Calculate w.
0, 1, 5
Let u(n) be the second derivative of -1/120*n**6 + 0 + 0*n**2 - 1/4*n**3 + 3/40*n**5 + 1/48*n**4 + 20*n. Factor u(s).
-s*(s - 6)*(s - 1)*(s + 1)/4
Factor 228 - 4*g - 78 - 8*g - 23*g - 5*g**2.
-5*(g - 3)*(g + 10)
Let g(o) be the first derivative of -o**3/9 + o**2/6 + 2*o/3 + 110. Factor g(m).
-(m - 2)*(m + 1)/3
Suppose 5*p - 3 = -18. Let r(f) = -f**2 + 3*f + 1. Let b(l) = 2*l**2 - 2*l. Let j(t) = p*b(t) - 4*r(t). Suppose j(u) = 0. What is u?
-2, -1
Factor 11*w**2 - 19*w**2 + 3*w + 9*w**2 - 6 - 2*w.
(w - 2)*(w + 3)
Let h = -24 + 27. Factor -10*w**2 + 4*w + 0*w - w + 5*w**h + 2*w.
5*w*(w - 1)**2
Let t(r) be the third derivative of r**8/5040 + r**7/1260 - r**5/30 + 11*r**2. Let a(i) be the third derivative of t(i). Factor a(s).
4*s*(s + 1)
Let i = 17 + -319/19. Let u(d) be the first derivative of 32/57*d**3 + 4 + 7/38*d**4 + 0*d + i*d**2. Factor u(a).
2*a*(a + 2)*(7*a + 2)/19
Let w be (155/10 + -15)*1. Factor -1/4 + 1/4*t**4 - w*t + 0*t**2 + 1/2*t**3.
(t - 1)*(t + 1)**3/4
Let q(f) be the first derivative of 4/5*f**5 + 32*f**3 + 9*f**4 + 0*f - 20 + 32*f**2. Factor q(j).
4*j*(j + 1)*(j + 4)**2
Suppo