*3 - p - p + p + 10*p. Let r be a(-6). Let 0 - 4/5*w + 2/5*w**r = 0. What is w?
0, 2
Suppose -4*l = -4*r + 76, 2*r + 4*l - 26 = 24. Suppose 32 = 2*p - 2*q, -q + 19 = p - 5*q. Find v such that 3*v**3 - 22*v**2 + r*v + p*v - 24 + 4*v**2 = 0.
2
Suppose -5*b - 18 = -4*w, 0 = w - b + 3*b + 2. Let x be w + 2 + (-10)/3. Solve -x*v**5 + 10/3*v**4 - 10/3*v + 20/3*v**2 + 2/3 - 20/3*v**3 = 0 for v.
1
Let g be -329 - (-1 + 0 - 0). Let c = 3612/11 + g. Solve 6/11*l**2 + 0 + 2/11*l**3 + c*l = 0.
-2, -1, 0
Let n(j) be the second derivative of -8*j**7/77 + j**6/165 + 4*j + 1. Factor n(c).
-2*c**4*(24*c - 1)/11
Let k(i) be the third derivative of i**7/3780 - i**6/540 + i**5/180 - i**4/2 + 12*i**2. Let n(d) be the second derivative of k(d). Factor n(r).
2*(r - 1)**2/3
Let i(j) be the third derivative of -j**6/24 - 2*j**5 + 45*j**4/2 - 280*j**3/3 + 286*j**2. Find z, given that i(z) = 0.
-28, 2
Let t(s) be the first derivative of -2*s**7/105 - s**6/30 + s**5/15 + s**4/6 - s**2/2 + 8. Let q(u) be the second derivative of t(u). Factor q(d).
-4*d*(d - 1)*(d + 1)**2
Factor -3/2*s - 3/2*s**2 - 1/2*s**3 - 1/2.
-(s + 1)**3/2
Let b = -947/413 - -169/59. Suppose 4/7*h**2 + 0 + 2/7*h**3 - 2/7*h - b*h**4 = 0. Calculate h.
-1, 0, 1/2, 1
Let b(y) be the second derivative of y**7/294 - y**6/70 + y**5/140 + y**4/28 - y**3/21 - 60*y. Factor b(l).
l*(l - 2)*(l - 1)**2*(l + 1)/7
Let q be 95/(-190) + (-67)/(-14). Let 4/7 + q*y**3 - 11/7*y**2 - 12/7*y + 25/7*y**4 = 0. Calculate y.
-1, 2/5
Let x = 269 + -1882/7. Let w(i) be the first derivative of -1/14*i**4 + x*i**2 + 4/21*i**3 + 4 - 4/7*i. Solve w(n) = 0 for n.
-1, 1, 2
Factor -81/10 - 1/10*p**5 + 11/10*p**4 + 27/5*p**2 + 27/10*p - 21/5*p**3.
-(p - 3)**4*(p + 1)/10
Let p(h) = -2*h**2 - 5*h. Let j be p(-4). Let z = j + 17. Find v, given that -8 - 2*v**5 + v**z - 8*v**4 - 29*v**2 - 9*v**2 - 18*v - 10*v - 25*v**3 = 0.
-2, -1
Let t(s) be the third derivative of -49/12*s**4 + 0*s - 1/60*s**6 - 7/15*s**5 + 0*s**3 + 34*s**2 + 0. Factor t(u).
-2*u*(u + 7)**2
Let i be 24/54*1/2. Let q = -616/153 - -76/17. Factor -i + 2/9*g + q*g**2.
2*(g + 1)*(2*g - 1)/9
Let r(z) be the second derivative of -z**6/6 + 4*z**5 - 25*z**4/6 - 60*z**3 - 225*z**2/2 + 45*z - 1. Factor r(k).
-5*(k - 15)*(k - 3)*(k + 1)**2
Let w(g) be the second derivative of -g**6/280 + g**5/70 - g**4/56 - 6*g**2 + 7*g. Let u(c) be the first derivative of w(c). Factor u(h).
-3*h*(h - 1)**2/7
Let z(q) = 3*q. Let h = -4 + 0. Let v(a) = -a**2 + 4*a + 1. Let l(i) = h*z(i) + 3*v(i). Factor l(r).
-3*(r - 1)*(r + 1)
Suppose 9 = 2*i - 31. Let k be ((-15)/i)/(2/(-8)). Factor -5*b**4 + 2*b**4 - b**2 + 2*b**4 - 2 - 3*b**3 + 4 + k*b.
-(b - 1)*(b + 1)**2*(b + 2)
Solve -412/7*p - 4/7*p**3 + 48 + 80/7*p**2 = 0.
1, 7, 12
Let p(s) = 56*s**3 - 48*s**2 - 204*s - 100. Let u(z) = -z**4 + 55*z**3 - 49*z**2 - 205*z - 100. Let o(a) = -5*p(a) + 6*u(a). Determine y, given that o(y) = 0.
-1, -2/3, 5
Suppose 4*u = -b + 116, 0 = 3*b + 1 - 13. Suppose -237 + 85 = -4*c. Let -u*s - 28 - 4*s**2 - 4*s - c + 2 = 0. Calculate s.
-4
Let p(w) be the second derivative of -9*w**5/80 - 29*w**4/16 - 23*w**3/3 - 14*w**2 + 68*w - 2. Suppose p(n) = 0. What is n?
-7, -4/3
Let a(h) be the second derivative of 7/190*h**5 - 1/57*h**3 - 4/285*h**6 - 1/57*h**4 + 0*h**2 - 20*h + 0. Let a(i) = 0. What is i?
-1/4, 0, 1
Let f(l) be the third derivative of -l**7/42 + l**5/2 - 5*l**4/3 + 5*l**3/2 - 17*l**2. Let f(o) = 0. What is o?
-3, 1
Let v(p) be the second derivative of 4*p**7/189 + 2*p**6/45 - p**5/45 - p**4/9 - 2*p**3/27 - p - 30. Solve v(a) = 0 for a.
-1, -1/2, 0, 1
Let s(w) be the third derivative of 2/3*w**3 + 1/8*w**4 + 1/120*w**5 + 0*w + 0 - 36*w**2. Find t such that s(t) = 0.
-4, -2
Let r(f) be the second derivative of 18*f**6/5 - 2*f**5/5 - 9*f**4 + 4*f**3/3 + 69*f. Factor r(p).
4*p*(p - 1)*(p + 1)*(27*p - 2)
Let u(b) = b - 1. Let x(j) = 4*j**4 - 18*j**3 + 24*j**2 - 5*j - 3. Let i(q) = 3*u(q) - x(q). Suppose i(d) = 0. What is d?
0, 1/2, 2
Suppose 0*h = -5*h + 45. Find i such that -15*i**2 - 3*i**5 + h*i**4 + 7*i**2 - 4*i**2 = 0.
-1, 0, 2
Let o(h) be the third derivative of h**8/11760 - h**7/5880 - h**6/1260 + 17*h**3/6 - 9*h**2. Let t(v) be the first derivative of o(v). Factor t(q).
q**2*(q - 2)*(q + 1)/7
Let x(j) be the first derivative of j**5/25 + j**4/5 - 2*j**3/5 - 2*j**2/5 + j - 14. Solve x(b) = 0 for b.
-5, -1, 1
Let m be 0/((-6)/(-2)) - -2. Let y be (-48)/(-18)*3/m. What is l in -l**2 - 3*l**y + 4*l**3 + l**5 - l**3 + 0*l**3 = 0?
0, 1
Let -208/7*y**2 + 0 - 2/7*y**3 - 5408/7*y = 0. What is y?
-52, 0
Suppose 19*q = 24*q - 165. Determine m, given that -1 - q*m**2 - 1 + 35*m**2 = 0.
-1, 1
Factor 1/10*v**4 - 17/10*v**3 + 30*v + 0 + 4*v**2.
v*(v - 10)**2*(v + 3)/10
Let -3/4*l**2 + 15/4*l - 3 = 0. What is l?
1, 4
Let m(n) be the second derivative of 1/132*n**4 + 5/33*n**3 + 0 - 5*n + 25/22*n**2. Factor m(i).
(i + 5)**2/11
Suppose -5*c - 8*l + 9*l + 71 = 0, 2*l + 52 = 4*c. Factor 30*p**3 + 3/2 + 6*p**5 - 45/2*p**4 - c*p**2 + 0*p.
3*(p - 1)**4*(4*p + 1)/2
Let z(w) be the second derivative of 0*w**2 + 1/12*w**4 + 1/28*w**5 + 17*w + 1/14*w**3 + 1/210*w**6 + 0. Suppose z(m) = 0. What is m?
-3, -1, 0
Let g = 8/157 + 4936/1727. What is v in -10/11*v**3 - g*v + 8/11 + 34/11*v**2 = 0?
2/5, 1, 2
Factor -22/7*c**2 - 8/7*c**3 + 2/7*c**4 + 0 - 12/7*c.
2*c*(c - 6)*(c + 1)**2/7
Let w(x) be the first derivative of x**4/10 + 38*x**3/15 + 18*x**2/5 + 86. Factor w(f).
2*f*(f + 1)*(f + 18)/5
Let b = 87803/205533 + -87/557. Let o = b + -2/41. Factor 0*x - 2/9*x**3 + 4/9*x**4 + 0 + 0*x**2 - o*x**5.
-2*x**3*(x - 1)**2/9
Let a be 456/1026 - ((-88)/126 + 0). Factor 4/7*r**2 + a*r + 4/7.
4*(r + 1)**2/7
Let r(q) = -q**2 - q + 30. Let u be r(-6). Let x(p) be the third derivative of -1/180*p**5 + u + 0*p + 0*p**4 + 10*p**2 + 0*p**3. Factor x(y).
-y**2/3
Suppose -4*g + 1 = 3*r + 5, 0 = 5*g + 5*r + 10. Let v be ((-12)/(-3) - 0) + g. Solve -v*m + 7*m**2 - 27 - 3*m**3 - 28*m**2 - 39*m = 0.
-3, -1
Factor 225/7*l**3 + 4/7 + 285/7*l**2 + 64/7*l.
(l + 1)*(15*l + 2)**2/7
Let u(x) = -x**2 - 9*x + 15. Let a be u(-10). Suppose a*g**2 + 9*g**3 - 61*g**4 + 61*g**4 + g**2 - 3*g**5 = 0. What is g?
-1, 0, 2
Let u = -783/16 - -49. Let p(a) be the first derivative of 1/20*a**5 - u*a**4 - 1/4*a**3 + 1/2*a + 1/8*a**2 - 3. Suppose p(g) = 0. Calculate g.
-1, 1, 2
Factor -16*q - 19 + 3*q**4 + 13 - 13*q**3 + 16*q**3 - 9*q**2 + q.
3*(q - 2)*(q + 1)**3
Let j(c) = -12*c**2 + 56*c - 224. Let p(i) = -11*i**2 + 58*i - 224. Let n(v) = 7*j(v) - 8*p(v). Find u, given that n(u) = 0.
4, 14
What is i in -9 + 40*i**3 - 6*i - 34*i**3 - 5*i**2 + 17*i**2 - 3*i**4 = 0?
-1, 1, 3
Let k be -1329*1/1841 - (5 - 6). Let b = k - -2/263. Factor 4/7*d - 2/7 - b*d**2.
-2*(d - 1)**2/7
Suppose -2*l + 14 = -3*p, 11*p - 10 = -5*l + 6*p. Suppose 0 - 1/9*q**2 - 1/3*q**l + 0*q + 1/3*q**3 + 1/9*q**5 = 0. Calculate q.
0, 1
Let m(w) = -76*w**2 + 68*w + 1. Let h(t) = -38*t**2 + 34*t. Let d = -51 - -55. Let y(k) = d*m(k) - 7*h(k). Solve y(c) = 0 for c.
-2/19, 1
Suppose 6*w + 82 - 100 = 0. Let s(x) be the first derivative of 3/7*x**2 - 2/7*x**w - 2/7*x - 7 + 1/14*x**4. What is t in s(t) = 0?
1
Let k(c) be the second derivative of -c**7/42 - 4*c**6/15 - 5*c**5/4 - 19*c**4/6 - 14*c**3/3 - 4*c**2 + 418*c. Solve k(a) = 0 for a.
-2, -1
Factor -24/11*o**2 - 30/11*o**4 + 0*o + 6/11*o**5 + 0 + 48/11*o**3.
6*o**2*(o - 2)**2*(o - 1)/11
Let m(w) = -6*w**4 - 44*w**3 - 232*w**2 + 628*w - 346. Let r(h) = -17*h**4 - 133*h**3 - 697*h**2 + 1883*h - 1036. Let i(c) = -11*m(c) + 4*r(c). Factor i(x).
-2*(x - 1)**2*(x + 13)**2
Determine q, given that 1 - 11336*q**2 - 1 + 0 - 80*q + 11331*q**2 = 0.
-16, 0
Factor 14*u**2 + 134*u + 82*u + 126*u**2 + 3*u**4 + 42*u**3 + 40*u**2.
3*u*(u + 2)*(u + 6)**2
Let g(w) be the first derivative of w**8/84 - 3*w**7/70 + w**6/60 + 18*w**2 + 11. Let f(o) be the second derivative of g(o). Suppose f(k) = 0. Calculate k.
0, 1/4, 2
Let x(q) be the third derivative of -q**5/210 + 5*q**4/84 - 4*q**3/21 - 59*q**2. Determine u so that x(u) = 0.
1, 4
Suppose 3*j = -2*x + 7 - 4, 9 = -x - 5*j. Let 7*o**2 + 6*o - o**2 + 2*o**4 + x*o**3 + 4*o**3 + 8*o**2 = 0. What is o?
-3, -1, 0
Let k(t) be the third derivative of 0*t + 0 + 19/96*t**4 - 37*t**2 + 1/4*t**3 - 7/240*t**5. Suppose k(q) = 0. Calculate q.
-2/7, 3
Let f(