*z - 1964 = 0 for z.
13
Let z(l) = -2*l**4 - 6*l**3 + 8*l**2 - 4*l - 4. Let o(a) = a**3 + a**2 + a + 1. Let g(i) = 4*o(i) + z(i). Factor g(d).
-2*d**2*(d - 2)*(d + 3)
Suppose -4*i - 2*w + 10 = 0, -1 = -3*w + 2. Factor 403*s**3 - 11 - 400*s**3 + 10*s**2 - 1 - s**i.
3*(s - 1)*(s + 2)**2
Factor 15 - 3 + 3*a**2 - a - 6 - 8*a.
3*(a - 2)*(a - 1)
Let f(q) be the second derivative of q**6/10 - 3*q**5/20 - 21*q - 2. Find i, given that f(i) = 0.
0, 1
Factor 1690/9*p**3 + 416/9*p**2 - 94/9*p + 4/9.
2*(5*p + 2)*(13*p - 1)**2/9
Let a(o) be the second derivative of 0 - 6*o + 1/54*o**4 + 1/9*o**3 + 0*o**2. Factor a(q).
2*q*(q + 3)/9
Let w(a) be the first derivative of 2*a**5/45 - 22*a**3/27 - 2*a**2 - 16*a/9 - 176. Factor w(x).
2*(x - 4)*(x + 1)**2*(x + 2)/9
Let p(w) be the first derivative of 44*w**4 - 8 + 2*w + 36*w**3 + 64/5*w**5 + 25/2*w**2. Factor p(s).
(s + 2)*(4*s + 1)**3
Let u(d) be the third derivative of -14641*d**7/210 + 3993*d**6/5 - 19602*d**5/5 + 10692*d**4 - 17496*d**3 - 3*d**2. Let u(t) = 0. Calculate t.
18/11
Suppose 6*g - 24 = 6. Suppose -n = n - g*n. Factor 0*r + 2/3*r**4 + 0 + n*r**2 + 1/3*r**5 + 1/3*r**3.
r**3*(r + 1)**2/3
Let d = -6411 - -19235/3. Factor -2/3*k**4 + 0 + 0*k + d*k**3 + 0*k**2.
-2*k**3*(k - 1)/3
Let q(c) be the second derivative of -c**5/40 - 115*c**4/72 + 13*c**3/6 - 24*c + 5. Find f such that q(f) = 0.
-39, 0, 2/3
Let c(t) be the third derivative of -t**7/1470 + 3*t**6/140 - 27*t**5/140 - 63*t**2 + 2*t. Find h such that c(h) = 0.
0, 9
Factor -3/4*d**2 + 81/4*d - 39/2.
-3*(d - 26)*(d - 1)/4
Determine u so that -4/3 - 65/6*u**4 + 149/6*u**3 + 3/2*u**5 + 31/3*u - 49/2*u**2 = 0.
2/9, 1, 4
Let m = 120 - 118. Let g(n) be the third derivative of 1/140*n**6 + 0*n - 1/735*n**7 - 1/70*n**5 + 3*n**m + 0*n**3 + 0 + 1/84*n**4. Factor g(v).
-2*v*(v - 1)**3/7
Let i(p) = 17*p**4 - 12*p**3 - 2*p**2 + 2*p. Let h = -32 + 30. Let t(q) = -18*q**4 + 12*q**3 + 3*q**2 - 3*q. Let v(n) = h*t(n) - 3*i(n). Factor v(l).
-3*l**3*(5*l - 4)
Let i(w) be the second derivative of -2*w**6/15 - 16*w**5/5 - 26*w**4 - 224*w**3/3 - 98*w**2 + 10*w. Factor i(s).
-4*(s + 1)**2*(s + 7)**2
Let d(u) be the first derivative of u**5/25 + u**4/15 + 3*u + 4. Let r(s) be the first derivative of d(s). Suppose r(x) = 0. Calculate x.
-1, 0
Let f = -10 + 16. Suppose f = 5*q - 2*q. Suppose -h - h - h**3 - 5*h**q + 2*h**2 = 0. Calculate h.
-2, -1, 0
Let x be 564/1680 - (-2)/(-7). Let k(y) be the first derivative of 0*y - 2 - 1/15*y**3 + 0*y**2 - x*y**4. Factor k(i).
-i**2*(i + 1)/5
Let o be (8/(-1))/8*2/6*-2. Let o*s**3 - 2/9*s**2 - 4/9*s**4 + 0*s + 0 = 0. Calculate s.
0, 1/2, 1
Let v(u) = u**3 + u**2 + u - 1. Let f(l) = -4*l**4 - 46*l**3 - 70*l**2 - 38*l + 10. Let g(b) = -f(b) - 10*v(b). Solve g(y) = 0.
-7, -1, 0
Let z(o) be the third derivative of -2/7*o**3 - 1/210*o**5 + 17*o**2 + 0 + 5/84*o**4 + 0*o. What is y in z(y) = 0?
2, 3
Suppose -5 - 57 = -31*o. Let v(u) be the third derivative of -2/15*u**5 + 0*u + 0*u**3 - 1/30*u**6 + 4*u**o + 0 - 1/6*u**4. Factor v(b).
-4*b*(b + 1)**2
Let -23*v**5 + 58*v**2 - 51*v**4 + 9*v + 7*v**5 + 7*v**5 + 33*v + 9*v - 58*v**3 + 9 = 0. Calculate v.
-3, -1/3, 1
Let b = 312 - 267. Let r be ((-205)/b + 5)*9/6. Let 8/3*n**3 + 10/3*n**2 + 4/3*n + 0 + r*n**4 = 0. Calculate n.
-2, -1, 0
Let i be ((-14)/(-14))/(6 - 8/4). Factor 0*o**2 + 1/2*o**3 - 1/2*o - 1/4*o**4 + i.
-(o - 1)**3*(o + 1)/4
Let v(c) be the third derivative of -c**5/20 - 25*c**4/2 + 101*c**3/2 - c**2 - 198. Let v(w) = 0. Calculate w.
-101, 1
Suppose 720*y - 424 + 24 - 78*y**2 + 141*y**2 - 387*y**2 = 0. Calculate y.
10/9
Let u(j) be the second derivative of j**5/12 - 5*j**4/6 + 5*j**3/2 - 21*j**2/2 + 23*j. Let s(z) be the first derivative of u(z). Factor s(b).
5*(b - 3)*(b - 1)
Let p(t) be the third derivative of -t**7/525 - t**6/300 + t**5/150 + t**4/60 + t**2 - 26*t. Factor p(v).
-2*v*(v - 1)*(v + 1)**2/5
Let o = -153/2 + 79. Suppose 3*a - 25*n = -23*n + 41, -2*n = 2*a - 14. Determine v, given that -9*v**4 - 4*v**2 + 3/2*v - a*v**3 + 1 - o*v**5 = 0.
-1, 2/5
Let o(x) be the first derivative of 0*x - 5 - 3/4*x**4 - x**3 + 0*x**2. Factor o(h).
-3*h**2*(h + 1)
Let n be 8/(-20) + 1784/665. Let f = n - -2/665. Factor -2/7*o**2 + f*o - 32/7.
-2*(o - 4)**2/7
Let p(k) be the second derivative of -2*k**6/75 - 8*k**5/5 + 172*k**4/15 - 352*k**3/15 + 388*k. Factor p(q).
-4*q*(q - 2)**2*(q + 44)/5
Let k(a) be the third derivative of -a**7/2 - 151*a**6/40 - 47*a**5/10 + 31*a**4/2 - 12*a**3 - 2*a**2 + 109. Let k(m) = 0. Calculate m.
-3, -2, 2/7, 2/5
Factor -4*d**4 + 140*d**3 + 1203*d + 4*d**4 - 3888 + 141*d**2 - 3*d**4 - 170*d**3 - 123*d.
-3*(d - 4)**2*(d + 9)**2
Let -70227/5 - 3/5*a**2 + 918/5*a = 0. What is a?
153
Let w(s) be the third derivative of 5*s**8/1344 - 43*s**7/210 + 1673*s**6/480 - 1681*s**5/120 + 74*s**4/3 - 64*s**3/3 - 381*s**2. Find n such that w(n) = 0.
2/5, 1, 16
Let c(b) be the second derivative of 0 - 5*b + 0*b**4 - 2/5*b**2 + 27/50*b**5 - 3/5*b**3. Factor c(j).
2*(3*j - 2)*(3*j + 1)**2/5
What is t in -62/11*t**2 + 4/11*t**4 + 18/11*t**3 - 14/11 + 54/11*t = 0?
-7, 1/2, 1
Let b be (-5)/(-30)*(4/(-14) - 125/(-70)). What is d in b*d**3 - 9/2 - 3/4*d + d**2 = 0?
-3, 2
Let x = 59 - 61. Let k be 25/(x + -3) - -7. Suppose -w - 1/2 - 1/2*w**k = 0. Calculate w.
-1
Find z such that z**3 + 13*z**2 + z**4 + 44*z - 41*z - 18 - 8*z**3 = 0.
-1, 2, 3
Let 6/7*x**2 + 0 - 24/7*x + 3/7*x**3 = 0. Calculate x.
-4, 0, 2
Let u = -7359 + 36798/5. Solve u*q**3 - 3/5*q**5 + 0 + 6/5*q**4 - 6/5*q**2 + 0*q = 0 for q.
-1, 0, 1, 2
Let g(j) = j**4. Let c(b) = 4*b**4 - 3*b**3 + 4*b. Let a(u) = -c(u) + 3*g(u). Suppose a(h) = 0. What is h?
-1, 0, 2
Suppose 0 = v - 5*v - 24. Let m be (-34)/8 - 1 - v. Determine s so that m + 7/4*s + 5/4*s**2 + 1/4*s**3 = 0.
-3, -1
Let w be (0 + (-72)/(-30))/(((-840)/(-25))/12). Determine k so that -44/7*k**2 + w*k**3 + 64/7*k + 64/7 = 0.
-2/3, 4
Let k(i) be the third derivative of i**8/168 + 2*i**7/35 + i**6/60 - 4*i**5/5 + 4*i**4/3 + i**2 - 91. Suppose k(q) = 0. What is q?
-4, 0, 1
Let p be 0 + 1 + (-4 - -3). Suppose 4*c + p - 8 = 0. Factor -6*g**3 + 3 - 8*g**c + 2*g**3 - 3.
-4*g**2*(g + 2)
Suppose 4*r = -k + 19, 4*k - 12 - 8 = -2*r. Factor -3*n**2 - 2*n**2 - r*n - 21*n.
-5*n*(n + 5)
Let w(v) = 5*v + 7. Let b be w(-1). Let f(j) be the second derivative of 0 - j**3 - 11*j + 3*j**b + 1/8*j**4. Factor f(z).
3*(z - 2)**2/2
Let r(n) be the third derivative of 0*n**4 + 0 + 0*n**3 - 5*n**2 + 0*n + 1/390*n**5. Find d, given that r(d) = 0.
0
Let x(y) be the first derivative of -5*y**4/12 + 5*y**3 - 20*y**2 + 100*y/3 - 114. Factor x(h).
-5*(h - 5)*(h - 2)**2/3
Suppose -94*n - 31*n = -250. Factor 2/3*r - 1/3*r**n - 1/3.
-(r - 1)**2/3
What is r in -54 - 135/2*r**3 + 72*r + 33/2*r**2 - 6*r**5 + 36*r**4 = 0?
-1, 3/2, 2
Let d = -2/629 + 689/18870. Let h(l) be the second derivative of -d*l**3 + 0*l**5 - 1/30*l**4 + 0 + 1/210*l**7 - 8*l + 0*l**2 + 1/75*l**6. Factor h(s).
s*(s - 1)*(s + 1)**3/5
Let b = 0 - 0. Let x be -1 - (-1 + 0/5). Factor x - 1/7*u**2 + b*u.
-u**2/7
Suppose -11 = 5*j + 2*t - 44, -3*t = -5*j + 13. Determine w, given that 8 - j*w**2 + 4*w**3 + 17*w + 21*w**2 + 3*w = 0.
-2, -1
Let f be ((-6 + 6)/(-1 - -4))/2. Suppose 5 = 5*n + 3*h, -5*n - 7*h + 3*h = f. Factor -10/7*i + 2/7*i**3 + 4/7 - 2/7*i**n + 6/7*i**2.
-2*(i - 1)**3*(i + 2)/7
Let a(q) = -7*q**2 + 6 - 1 + 2*q**2. Let x(c) = 22 + 36 - 56*c**2 - 46 + 42. Let m(f) = 68*a(f) - 6*x(f). Determine u so that m(u) = 0.
-2, 2
Let h = 40 - 1. Suppose 69 + h = 9*l. Factor -l*v + 11*v**3 - 12*v**2 + v**3 + 8*v**4 + 4*v.
4*v*(v - 1)*(v + 2)*(2*v + 1)
Suppose 16*o = 11*o + 14*o. What is q in o - 6*q**2 + 18/5*q**3 - 10*q - 2/5*q**4 = 0?
-1, 0, 5
Let k be 78/(-208)*8/(-6). Factor 0*z + k*z**3 + 3/2*z**2 + 0.
z**2*(z + 3)/2
Suppose 0*g = g - 15. Let -8*i**4 + 117*i**2 + 60*i - 7*i**2 + 8 - g*i**3 - 17*i**4 - 48 = 0. Calculate i.
-2, -1, 2/5, 2
Let k be ((-111)/(-1998))/((-4)/(-24)). Factor k*x - 13/6*x**4 - 5/6*x**5 + 0 - 3/2*x**3 + 1/6*x**2.
-x*(x + 1)**3*(5*x - 2)/6
Let d(a) be the third derivative of a**5/20 - 65*a**4/12 + 43*a**3/6 + 128*a**2. Factor d(t).
(t - 43)*(3*t - 1)
Let u(t) be the third derivative of 1/168*t**8 + 10*t**2 - 1/30*t**6 + 0 - 1/105*t**7 + 1/12*t**4 - 1/3*t**3 + 0*t + 1/15*t**5. Find a, given that u(a) = 0.
-1, 1
Le