*u - 32/11*z = 0.
-1, 1/2, 5
Let c be 12 + (-2)/1 + -10. Suppose 1/3*b**4 - 64/3*b + 16*b**2 + 5*b**3 + c = 0. What is b?
-8, 0, 1
Let i(m) = -13*m**4 + 13*m**3 - 39*m**2 - 5*m + 5. Let x(d) = 10*d**4 - 14*d**3 + 40*d**2 + 4*d - 4. Let p(l) = -4*i(l) - 5*x(l). Find c such that p(c) = 0.
-11, 0, 2
Let p(f) be the second derivative of 7*f**5/120 + 11*f**4/72 + f**3/36 - f**2/4 + 70*f. Solve p(r) = 0.
-1, 3/7
Let v(d) be the third derivative of -d**6/40 - 3*d**5/20 - 3*d**4/8 - d**3/2 + 39*d**2. Find h such that v(h) = 0.
-1
Factor -r**5 + 8*r + r + 54*r**3 + 6*r**2 - 66*r**3 - 6 + 4*r**5.
3*(r - 1)**3*(r + 1)*(r + 2)
Let o(g) = -3*g**4 + 2*g**3 - 5*g**2 - 2*g. Suppose 5*p + 2 = -8. Let r(j) = 4*j**4 - j**3 + 6*j**2 + 3*j. Let n(y) = p*r(y) - 3*o(y). Let n(t) = 0. What is t?
0, 1, 3
Suppose 4*l**2 + 68 - 24*l + 42 - 74 = 0. Calculate l.
3
Let n be (-2)/6*171/(-209)*33/6. Solve 1/4*h**2 + n*h + 9/4 = 0.
-3
Suppose 0 = 2*v + 2, 0 - 12 = -4*p - 4*v. Factor -5 + 13*m**4 + 20*m**3 + 0 - 20*m + 4*m**4 - 10*m**2 - 2*m**p.
5*(m - 1)*(m + 1)**2*(3*m + 1)
Let l = 24939/43498 - -6/1673. Let d = 51/13 + l. Factor d*b**3 + 6*b**2 - 3/2*b - 3.
3*(b + 1)**2*(3*b - 2)/2
Suppose z = -4*h + 11, -46*h + 49*h - 8 = -z. Suppose -7/4*j**3 + 9/4*j**2 + h*j - 1 = 0. What is j?
-1, 2/7, 2
Suppose 4*t - 8*c + 4*c = 8, -4*t - 3*c - 6 = 0. Suppose 4*l + 9 = 5*y + 5, 0 = -5*y + 20. Factor 0 + 1/4*u + 1/2*u**2 + t*u**3 - 1/2*u**l - 1/4*u**5.
-u*(u - 1)*(u + 1)**3/4
Let s be (((-176)/45)/(-11))/(2/5). Let j(t) be the first derivative of -t**4 + 0*t - 1/3*t**2 + 6 - s*t**3 - 1/9*t**6 - 8/15*t**5. Solve j(p) = 0 for p.
-1, 0
Let x be 20/(-6)*(-15)/10. Suppose h + 0*h - 5 = s, 5*s = -x. Factor -2*w**4 + 0*w**3 - 118*w - h*w**3 + 118*w.
-2*w**3*(w + 2)
Let s(g) = 6*g**4 - 3*g**2 - 6*g. Let m(o) = 5*o**4 + o**3 - 3*o**2 - 5*o. Let r(c) = -3*m(c) + 2*s(c). Factor r(q).
-3*q*(q - 1)*(q + 1)**2
Let k be 9*(-2)/(-18)*3. Let b be (-40)/(-30)*33/4. Factor -x**4 + 110 + 9*x**5 - 110 + 7*x**4 + 4*x - b*x**k - 4*x**2.
x*(x + 1)**2*(3*x - 2)**2
Let j = 845 + -837. Let c(g) be the third derivative of 1/96*g**4 + j*g**2 + 0*g + 1/960*g**6 + 1/160*g**5 + 0*g**3 + 0. Factor c(k).
k*(k + 1)*(k + 2)/8
Let g(s) = -s**3 + 2*s**2 - s + 1. Let m(z) = -11*z**3 + 64*z**2 - 102*z + 2. Let r(q) = -6*g(q) + 3*m(q). Determine b so that r(b) = 0.
0, 10/3
Let u(p) be the first derivative of 3 + 0*p**4 + p**2 - 1/330*p**5 + 1/33*p**3 + 0*p. Let b(z) be the second derivative of u(z). Find i such that b(i) = 0.
-1, 1
Suppose 0 = -w - 62 + 64. Solve -4 - 3*y**w + 4*y**2 - 6*y**2 + 5*y + 14 = 0 for y.
-1, 2
Determine w, given that 160/13*w - 2/13*w**2 + 328/13 = 0.
-2, 82
Suppose -a = -6 + 3. Let h be (-20 - -32)*1/3. Find w, given that -4*w**4 + 0*w**5 - 2*w**3 + w**4 + 9*w**5 - h*w**a = 0.
-2/3, 0, 1
Solve -4*s**2 - 4*s**5 - 196*s**3 - 6*s**4 + 0*s**4 + 5*s**5 + 205*s**3 = 0 for s.
0, 1, 4
Suppose 3*q + 5*w - 60 = 0, -2*w + 36 = 2*q - 4. Let a = -119/6 + q. Suppose -1/3*p + 0 - 5/6*p**4 - a*p**5 - 3/2*p**3 - 7/6*p**2 = 0. Calculate p.
-2, -1, 0
Let a(w) be the first derivative of w**6/33 - 12*w**5/55 - 5*w**4/11 + 40*w**3/33 + 9*w**2/11 - 28*w/11 + 31. Determine l, given that a(l) = 0.
-2, -1, 1, 7
Let z(c) be the third derivative of -1/480*c**6 + 0 + 0*c**3 + 1/96*c**4 + 1/240*c**5 + 0*c - 1/840*c**7 + 18*c**2. What is m in z(m) = 0?
-1, 0, 1
Let w(y) be the first derivative of -40*y**5/9 - 110*y**4/9 - 94*y**3/9 - 22*y**2/9 - 2*y/9 + 25. Factor w(g).
-2*(g + 1)**2*(10*g + 1)**2/9
Let -11/3*r**3 - 1/3*r + 0 - 4*r**2 = 0. What is r?
-1, -1/11, 0
Let t(d) = -1. Let p(v) = -262 + 666 + 362 + 9*v**2 - 6*v**2 - 96*v. Let x(w) = -p(w) + 2*t(w). Find h, given that x(h) = 0.
16
Let m = 182 + -175. Let i be 5 + m - 8 - 11/3. Factor -2/3*h**2 - 5/6*h + i + 2*h**3.
(2*h - 1)**2*(3*h + 2)/6
Let w(r) be the second derivative of -r**7/21 + 16*r**6/45 - 8*r**5/15 + 108*r - 2. What is q in w(q) = 0?
0, 4/3, 4
Let p(v) be the third derivative of -v**5/510 + 7*v**4/68 + 22*v**3/51 + 7*v**2. Factor p(a).
-2*(a - 22)*(a + 1)/17
Let t(f) be the first derivative of f**6/2 - 3*f**4/2 + 3*f**2/2 + 425. Factor t(q).
3*q*(q - 1)**2*(q + 1)**2
Suppose -4*w + 35 = -5*r, -w + 15*r - 11*r = -17. Find h such that 50/3*h**3 - w*h**4 - 15*h**2 + 0 + 10/3*h = 0.
0, 1/3, 1, 2
Solve 48*f + 42/5*f**2 + 40 + 2/5*f**3 = 0 for f.
-10, -1
Let l(w) = w**3 - 5*w**2 + 7*w. Let i be l(4). Solve t**2 - 9*t - 4*t**4 + t**2 + 2*t**2 - 3*t + i*t**3 = 0.
-1, 0, 1, 3
Let r(l) = 10*l**3 - 8*l**2 - 6*l. Let i(k) = 2*k**3 + k. Let h(m) = 4*i(m) - r(m). Factor h(z).
-2*z*(z - 5)*(z + 1)
Let o(r) be the second derivative of -r**6/15 + 3*r**5/10 - r**4/3 + 16*r + 2. Determine w so that o(w) = 0.
0, 1, 2
Let n(r) be the first derivative of 0*r + 1/100*r**5 - r**2 + 0*r**4 + 4 + 0*r**3. Let c(v) be the second derivative of n(v). Factor c(d).
3*d**2/5
Let k(z) = -25*z**4 + 98*z**3 - 64*z**2 - 32*z. Let v(b) = -25*b**4 + 96*b**3 - 63*b**2 - 34*b. Let s(p) = 3*k(p) - 4*v(p). Let s(y) = 0. What is y?
-2/5, 0, 2
Suppose -8*k + 4*k = -n - 8, -2*n = -3*k + 1. Let r = n + -4. Factor -14/11*i**2 + 4/11*i + r.
-2*i*(7*i - 2)/11
Let z = -20 + 22. Suppose -2*d - 2*d + 4*l + 8 = 0, -3*d = 2*l - 6. Find g, given that -3*g**2 + 10*g - 2*g**3 + 4 + 6*g**2 - z*g**4 + g**d + 2*g**2 = 0.
-1, 2
Solve -f**3 + 39*f**2 + f**3 - f**3 - 587*f + 2197 + 80*f = 0 for f.
13
Let n(i) = -20*i**2 + 414*i - 1864. Let c(m) = -4*m**2 + 83*m - 372. Let w(a) = -14*c(a) + 3*n(a). Factor w(x).
-4*(x - 12)*(x - 8)
Let k(r) be the second derivative of r**6/30 - 9*r**5/20 - r**4/12 + 3*r**3/2 - 2*r - 35. Suppose k(s) = 0. What is s?
-1, 0, 1, 9
Let q(f) = -9*f**3 + f**2 + 17*f + 7. Let s(o) = 64*o**3 - 6*o**2 - 120*o - 50. Let t(i) = -44*q(i) - 6*s(i). Factor t(r).
4*(r - 2)*(r + 1)*(3*r + 1)
Suppose -4*w + 15 = -7*w, -14 = -3*y + w. Let t(p) be the first derivative of 1/4*p**4 - 13 + 2*p - 2/3*p**y - 1/2*p**2. Factor t(d).
(d - 2)*(d - 1)*(d + 1)
Find k, given that -3/2*k**2 + 1/2*k**4 + 0*k + 0 - k**3 = 0.
-1, 0, 3
Let f(u) = -2*u - 15. Let r be f(-11). Suppose t - r = -3*x, t - 35 = -4*t - 4*x. Factor 0*y + t*y - 3*y**2 - y - 3.
-3*(y - 1)**2
Let r(x) be the second derivative of -2/25*x**6 + 0*x**2 + 1/10*x**3 + 9/50*x**5 - 1/5*x**4 + 0 + 1/70*x**7 - 7*x. Determine m so that r(m) = 0.
0, 1
Let c(k) = -k**3 + 4*k**2 - k + 3. Let m be c(3). Suppose -9 + 36 = m*v. What is y in 2*y**2 + 8/7*y**v - 2/7 + 4/7*y = 0?
-1, 1/4
Let o(p) be the third derivative of -5/3*p**3 - 13*p**2 + 0 + 0*p**5 - 25/24*p**4 + 5/12*p**6 + 5/21*p**7 + 0*p + 5/112*p**8. Factor o(q).
5*(q + 1)**4*(3*q - 2)
Suppose -18*b + 0 = -90. Let r(c) be the second derivative of -1/25*c**b - 1/15*c**3 + 3*c - 1/10*c**4 + 0*c**2 + 0. Find x such that r(x) = 0.
-1, -1/2, 0
Suppose -n - 2*u = 3*n + 668, -u = n + 165. Let w = n - -171. Solve 0 + 0*b + 14/9*b**4 - 4/3*b**5 + 2/9*b**3 - 4/9*b**w = 0.
-1/2, 0, 2/3, 1
Factor -6257 - 18263 - 80*k - 27464 + 992*k - 4*k**2.
-4*(k - 114)**2
Let m(u) be the third derivative of 11*u**8/168 + 2*u**7/105 - 11*u**6/60 - u**5/15 - 57*u**2. Find l, given that m(l) = 0.
-1, -2/11, 0, 1
Let d(l) = 20*l**2 + 0 - 2 - 39*l**2 + 16*l**2. Let b(q) = -3 + 0 - 6*q**2 + 3*q**2. Let y(z) = -5*b(z) + 6*d(z). Factor y(h).
-3*(h - 1)*(h + 1)
Let a = -204 - -213. Let n = -7 + 11. Suppose -17*s**4 + 3*s**3 + 14*s**n - a*s**3 = 0. Calculate s.
-2, 0
Let h(c) be the third derivative of 0*c**5 + 9*c**2 + 0*c**3 + 0*c**6 + 0*c**4 + 0*c - 1/42*c**7 + 0. What is g in h(g) = 0?
0
Let y(p) be the second derivative of 0 + 35/4*p**4 + 27/5*p**5 - 40*p - 3/2*p**3 - 3*p**2. Factor y(z).
3*(z + 1)*(4*z - 1)*(9*z + 2)
Let x = -2781/11 - -20105/77. Suppose -36/7 - 6/7*t**2 - x*t = 0. What is t?
-9, -2/3
Let r be 34/119*(-7)/(-2). Let g be 7/4 + r/4. Solve 98 - 98 + 4*c**g + 3*c**3 + c**3 = 0 for c.
-1, 0
Factor 2/9*p**4 - 8/3 - 26/9*p**2 + 50/9*p - 2/9*p**3.
2*(p - 3)*(p - 1)**2*(p + 4)/9
Solve -32/19*z**2 - 2/19*z**3 - 36/19 + 70/19*z = 0 for z.
-18, 1
Factor -20*r**3 + 252*r**4 + 0*r**2 - 263*r**4 + 2*r**5 - 7*r**2.
r**2*(r - 7)*(r + 1)*(2*r + 1)
Let k be 16/6 + (-8)/12. Suppose -4*q = -k*q - 8. Factor u - 3*u**4 - q*u**2 + u**5 - 4*u**4 + 3*u**4 + 6*u**3.
u*(u - 1)**4
Let v(i) be the third derivative of -i**8/420 + 2*i**7/105 + i**6 + 54*i