66*r**2 - 1. Factor h(v).
-5*v*(v + 1)*(35*v - 1)**2
Solve 99*b**2 - 34*b**3 + 31*b**2 + 55*b**2 + 29*b**3 = 0.
0, 37
Let h(p) = 10*p**5 - 16*p**4 - 12*p**3 - 4*p**2 - 4*p + 8. Let i(z) = -z**3 - z**2 - z + 2. Let y(x) = -h(x) + 4*i(x). Let y(v) = 0. What is v?
-2/5, 0, 2
Find f such that 3/2*f**3 - 9/2*f**2 + 0 + 3/2*f**5 + 9/2*f**4 - 3*f = 0.
-2, -1, 0, 1
Suppose -2*x - 3 = 2*k - 17, -2*x + 5 = 5*k. Let c be (9 - 10) + x/8. Solve 3/2*v + 9/4 + c*v**2 = 0.
-3
Let p = 8 + -6. Suppose -74*t - 8 = -78*t. Factor -5*o**t + o**p + 3*o**2.
-o**2
Let o = 19 - 14. Determine p so that -o*p**3 + 0*p**3 - 3*p**3 + 4*p - 3*p**2 + 7*p**2 = 0.
-1/2, 0, 1
Let l(p) be the third derivative of -p**5/420 - 11*p**4/28 - 363*p**3/14 + p**2 + 42. Factor l(t).
-(t + 33)**2/7
Let d(g) = -g**3 + g**2 + g - 1. Let b(u) = u**4 + 16*u**3 - 3*u**2 - 41*u - 23. Let q(c) = -2*b(c) - 18*d(c). What is w in q(w) = 0?
-4, -1, 2
Suppose 0 = -4*p - 151 + 159. Let c(s) be the second derivative of -s**p - 2*s - 1/12*s**4 + 1/2*s**3 + 0. Factor c(t).
-(t - 2)*(t - 1)
Let f be 2*((-22)/(-12) - (-28)/42). Suppose 4*b - 3*y = 21, -2*y - 1 = f. Solve 0*x**b - 2/9*x**4 + 0 + 2/9*x**2 + 0*x = 0 for x.
-1, 0, 1
Let p = 1436 + -1431. Let t(w) be the first derivative of -4*w**2 + 0*w - p - 4/3*w**3. Determine d, given that t(d) = 0.
-2, 0
Suppose 1 = -5*l + 26. Determine j so that -146 - 5*j**3 + 146 - l*j**4 = 0.
-1, 0
Suppose 2*q - 48*r + 46*r = 0, 0 = 5*q + 2*r - 21. Factor 27/2*o**2 + q + 3/2*o**4 + 15/2*o**3 + 21/2*o.
3*(o + 1)**3*(o + 2)/2
Suppose 5*y - 9 = 3*d + 6, -3*y + 4*d = -20. Let u = 41/16 - 255/112. Factor u*q - 2/7*q**2 + y.
-2*q*(q - 1)/7
Find l such that -202*l - 230*l + l**2 + 13062 - 1398 + 3*l**2 = 0.
54
Suppose 0 = 3*t + 5*y + 1, t - 2*y - 9 = y. Let 0*d + 4*d**2 - 4*d**t + 4*d - 4*d**4 - d**2 + d**2 = 0. Calculate d.
-1, 0, 1
Solve -56*j**2 - 111 - 14*j**3 + 147*j - 49 + 18*j**3 + 29*j = 0.
2, 10
Let n = -8253 - -49381/6. Let c = n - -23. Factor c*g**2 - 1/3*g + 1/6.
(g - 1)**2/6
Let o(v) be the third derivative of v**5/600 - 7*v**4/240 - 3*v**3/10 - 11*v**2 + 1. Factor o(x).
(x - 9)*(x + 2)/10
Let o be (1/(-435))/(6/(-3935)). Let l = o - 2/261. Suppose 0*u + l*u**3 - 9/4*u**2 + 3/4 = 0. What is u?
-1/2, 1
Let k = 996 - 994. Let w(h) be the second derivative of 1/10*h**6 + 3/4*h**4 + 9/20*h**5 + 0 - h + 0*h**k + 1/2*h**3. Solve w(b) = 0 for b.
-1, 0
Let d be 112/(-3 - (-95)/40). Let p = 180 + d. Factor 0*a - 2/5*a**4 + p*a**2 + 0*a**3 - 2/5.
-2*(a - 1)**2*(a + 1)**2/5
Let m(t) be the second derivative of -4/5*t**2 + 0 - 3/10*t**3 - 20*t - 1/60*t**4. Factor m(y).
-(y + 1)*(y + 8)/5
Let l(w) be the third derivative of w**6/1140 - 4*w**5/57 + 100*w**4/57 - 179*w**2. Factor l(d).
2*d*(d - 20)**2/19
Let n(s) be the third derivative of 2*s**7/105 - 79*s**6/30 + 304*s**5/3 + 800*s**4/3 - 16*s**2 - 19. Suppose n(w) = 0. Calculate w.
-1, 0, 40
Let o = -1620 - -4861/3. Let w(q) be the second derivative of 0*q**2 - 1/12*q**4 - 5*q + 0 - o*q**3. Factor w(p).
-p*(p + 2)
Let f(j) be the second derivative of j**6/240 + j**5/80 + 3*j**3 - j. Let r(z) be the second derivative of f(z). Factor r(g).
3*g*(g + 1)/2
Let c(n) be the first derivative of -n**4/2 - 46*n**3/3 + 689. What is y in c(y) = 0?
-23, 0
Let y(x) = x**2 - 15*x + 10. Let a be y(14). Let i be a/(-5)*10/4. Factor 31*w - 31*w + i*w**2.
2*w**2
Suppose 4*w = -16, 6*t - 11*t + w = -844. Determine o so that 93*o**2 - 31*o**5 - 32*o**3 - 287*o**5 - 91*o**2 + 30*o**5 + t*o**4 = 0.
0, 1/6, 1/4
Let d(z) be the third derivative of z**10/88200 - z**9/28224 + z**8/47040 + z**5/30 - 2*z**2. Let b(i) be the third derivative of d(i). What is v in b(v) = 0?
0, 1/4, 1
Let c(j) be the first derivative of -j**4/84 + j**2/14 + 31*j - 39. Let m(i) be the first derivative of c(i). Factor m(z).
-(z - 1)*(z + 1)/7
Find v, given that -115*v**2 + 1400*v - 151 + 130*v**2 + 616 = 0.
-93, -1/3
Let d(i) be the second derivative of -i**4/48 + i**3/12 - i**2/8 + 55*i. Factor d(w).
-(w - 1)**2/4
Let l be 72/(-132) - (-48)/88. Determine p, given that 0*p**2 + l*p**4 + 3/4*p**5 - 3/2*p**3 + 0 + 3/4*p = 0.
-1, 0, 1
Let z(w) = -2*w**4 + w**3 - 3*w. Let d(s) = -s**3 + 0*s - s - s**2 + 0*s**2 + 0*s**4 - s**4. Let l(q) = -12*d(q) + 4*z(q). Suppose l(u) = 0. What is u?
-3, -1, 0
Let s(y) be the first derivative of y**5/5 - 2*y**3 - 4*y**2 + 30*y + 31. Let w(c) be the first derivative of s(c). Solve w(k) = 0 for k.
-1, 2
Suppose 35 = -3*j + 10*j. Let q(f) = -1. Let u(v) = v**3 + v**2 - 4*v**2 + 5 + 2*v**2. Let t(c) = j*q(c) + u(c). Factor t(w).
w**2*(w - 1)
Let u be (6*(-8)/(-12))/22. Suppose 15 - 1 = 5*t - g, 0 = -g - 4. Factor -u*k - 6/11 + 8/11*k**t.
2*(k - 1)*(4*k + 3)/11
Let x = -991 + 995. Let y(n) be the first derivative of 7/2*n**2 - 2*n - 5 + 2/3*n**3 - 7/4*n**x. Factor y(g).
-(g - 1)*(g + 1)*(7*g - 2)
Let x(z) be the second derivative of z**5/60 + z**4/36 - 7*z**3/3 - 544*z. Factor x(v).
v*(v - 6)*(v + 7)/3
Suppose -5*q - 8 = j, 3*q + 7 = 5*j - 9. Suppose -w + j*w - 6*w = 0. Factor 3/5*u**2 + w*u - 3/5.
3*(u - 1)*(u + 1)/5
Let i = 360 - 2518/7. Let n = -48/11 - -358/77. Factor 0*x**2 + 0 - i*x**3 + n*x.
-2*x*(x - 1)*(x + 1)/7
Let c = 643/2668 - -6/667. Determine k, given that -4 - 2*k - c*k**2 = 0.
-4
Let w(f) be the first derivative of 0*f - 3/7*f**4 - 18/35*f**5 + 0*f**2 - 2/21*f**3 + 35 - 4/21*f**6. Factor w(n).
-2*n**2*(n + 1)**2*(4*n + 1)/7
Solve 1/3*l**2 + 0 - 1/3*l**4 - 1/3*l**5 + 0*l + 1/3*l**3 = 0 for l.
-1, 0, 1
Let g = 235 - 232. Find l such that -1/3*l**2 + 0*l**g + 1/6*l**4 + 0*l + 1/6 = 0.
-1, 1
Suppose b - 4*k - 49 + 30 = 0, -b - 6*k = 21. Factor 0*v**2 - 1/8*v**4 - 1/4*v + 1/4*v**b + 1/8.
-(v - 1)**3*(v + 1)/8
Let m(v) be the first derivative of -v**3 - 6/5*v - 11 - 21/10*v**2. Suppose m(t) = 0. Calculate t.
-1, -2/5
Let w be (1 - -7) + 10 + -15. Suppose -5/4*n - 1/2 + 5/2*n**w + n**2 - 5/4*n**5 - 1/2*n**4 = 0. What is n?
-1, -2/5, 1
Let f = 41553/56 + -742. Let x = 3/28 + f. Find i such that 0 + 0*i - x*i**2 = 0.
0
Suppose n + 4 = 7. Factor -t**n - 7*t + 7*t**2 - t**3 - 6 + 9*t - t**2.
-2*(t - 3)*(t - 1)*(t + 1)
Let c(r) be the first derivative of 0*r + 0*r**4 + 2/65*r**5 + 0*r**3 + 1/39*r**6 - 3 + 0*r**2. Determine y so that c(y) = 0.
-1, 0
Let t(q) be the first derivative of 9*q**5/140 + q**4/14 - q**3/14 - 13*q - 35. Let w(i) be the first derivative of t(i). Factor w(r).
3*r*(r + 1)*(3*r - 1)/7
Let u(h) be the first derivative of -h**4/12 + 17*h**3/9 + 3*h**2 + 60. Factor u(n).
-n*(n - 18)*(n + 1)/3
Let r = 19/20 + 1/4. Factor 0*w**2 - 6/5*w + r*w**3 + 3/5 - 3/5*w**4.
-3*(w - 1)**3*(w + 1)/5
Let b(s) be the second derivative of -s**6/15 + 3*s**5/2 - 27*s**4/2 + 185*s**3/3 - 150*s**2 + 104*s. Find l, given that b(l) = 0.
2, 3, 5
Let c(o) = o**2 + o - 2. Let t(k) = 3*k**2 + k - 4. Let r = -7 + 10. Let w = 2 + r. Let x(j) = w*c(j) - 2*t(j). Factor x(l).
-(l - 2)*(l - 1)
Suppose -6*c + 23*c**4 + 1525*c**5 + 13*c**4 + 24*c**3 - 7*c**4 - 1511*c**5 - 4*c**2 + 7*c**4 = 0. What is c?
-1, 0, 3/7
Let t(w) be the first derivative of -w**7/600 + w**6/200 - w**5/300 - 37*w**3/3 - 1. Let u(d) be the third derivative of t(d). Factor u(h).
-h*(h - 1)*(7*h - 2)/5
Suppose 6*y - 42 = 2*y - d, 5*d = 4*y - 54. Suppose 3*b + y - 125 = 0. Suppose -34*h**2 + b*h**2 - 21*h + 9*h = 0. Calculate h.
0, 3
Let w(o) be the first derivative of 4*o**3/3 + 48*o**2 + 576*o + 5. Factor w(r).
4*(r + 12)**2
Let y(j) be the first derivative of 7/10*j**5 - 4/3*j**3 - 4 - 2*j - 2*j**4 + 0*j**2. Let k(n) be the first derivative of y(n). Factor k(i).
2*i*(i - 2)*(7*i + 2)
Let l = 366 + -365. Let y be 3*5/(-4) + (l - -3). Let y*x - 1/2*x**2 + 1/2*x**4 - 1/4*x**5 + 0*x**3 + 0 = 0. What is x?
-1, 0, 1
Let b be (12 - 738/63)*1. What is g in -2/7*g - 12/7 + b*g**2 = 0?
-2, 3
Suppose 3*w + 5*f = 32, 5*w = -4*f + 40 - 4. Let q = 1883 + -1883. What is x in 0*x + 1/2*x**2 + x**3 + q + 1/2*x**w = 0?
-1, 0
Let c(k) be the third derivative of k**6/300 - k**5/75 - 19*k**4/60 + 4*k**3/3 + 203*k**2. Let c(s) = 0. What is s?
-4, 1, 5
Factor 436/7*g - 16/7*g**3 - 16 + 52/7*g**2.
-4*(g - 7)*(g + 4)*(4*g - 1)/7
Suppose 0 = 3*s + 25*s - 4*s. Suppose -1/4*u**3 + s + 0*u**2 + 1/4*u = 0. What is u?
-1, 0, 1
Let g(f) be the second derivative of -f**6/6 - 13*f**5/4 - 55*f**4/12 + 65*f**3/6 + 30*f**