 h**7/1260 + h**6/90 - h**5/45 + h**3 - 23. Let t(q) be the third derivative of p(q). Solve t(m) = 0.
-2, 0, 1, 2
Let s be 1/((-3)/(-12)) + 0. Suppose n**4 + 4*n**4 + 4 + 2*n**s - 8*n**2 - 3*n**4 = 0. Calculate n.
-1, 1
Let v(b) be the first derivative of -2*b**5/5 + 7*b**4/4 - 3*b**3 + 5*b**2/2 - b + 107. Suppose v(s) = 0. Calculate s.
1/2, 1
Let a = 45 + -43. Suppose 2*o + 2 = -3*y, 5*y + 12 = 3*o + a*y. Factor 1/4*j**o - 1/4*j - 1/2.
(j - 2)*(j + 1)/4
Factor 5*y**2 + 13*y - 33*y + 10*y.
5*y*(y - 2)
Suppose -2*y + 5 = -y - w, 4*y = -5*w + 2. Factor 32 - 16*r**2 - 117*r**4 - 2*r**3 + 119*r**4 + 2*r**y.
2*(r - 2)**2*(r + 2)**2
Let j = -15 - -17. Solve -2*n**2 - 9*n**2 - 7*n**3 + 3*n**4 + n**3 + 14*n**j = 0.
0, 1
Let v(l) be the third derivative of 5*l**8/336 - 5*l**7/21 + 25*l**6/24 + 51*l**2. Suppose v(b) = 0. Calculate b.
0, 5
Let a = -98 - -49. Let v = a + 52. Factor -2/3*z**4 - 10/3*z**2 + 8/3*z**v + 4/3*z + 0.
-2*z*(z - 2)*(z - 1)**2/3
Let m(y) be the second derivative of y**4/54 - 19*y**3/9 - 58*y**2/9 - 20*y - 5. Factor m(a).
2*(a - 58)*(a + 1)/9
Solve 0 + 74/7*j**3 - 24/7*j - 92/7*j**2 - 9/7*j**5 + j**4 = 0 for j.
-3, -2/9, 0, 2
Let y be (-1)/((-590)/2016 - (-18)/63). Find v such that 62*v**2 + 394*v**2 + 28*v**2 + y + 177*v + 351*v = 0.
-6/11
Let d(z) be the first derivative of 2*z**3/3 + 7*z**2/4 + 3*z/2 - 57. Find h, given that d(h) = 0.
-1, -3/4
Let j(z) be the second derivative of z**4/30 - 7*z**3/15 + 374*z. Find q such that j(q) = 0.
0, 7
Let c = -15 + 15. Suppose 4*o - 2*k = 26, c*o + o = -2*k + 19. Factor 18 + 9*b**2 - b**2 + 4*b**2 + o*b**3 - 39*b.
3*(b - 1)*(b + 3)*(3*b - 2)
Suppose -4*z + 6 = 2*v, 5*z - 4*v = -6*v + 8. Let p(s) be the second derivative of 0 - 8*s + 1/24*s**4 - 1/40*s**5 + 0*s**3 + 0*s**z. Let p(y) = 0. Calculate y.
0, 1
Factor 0*a**3 + 2/7*a**4 - 16/7*a**2 + 32/7 + 0*a.
2*(a - 2)**2*(a + 2)**2/7
Let p = -4933 + 4938. Let 5*y + 25/3*y**2 - 5/3*y**4 - p*y**3 - 20/3 = 0. Calculate y.
-4, -1, 1
Let i = -92/3 + 31. Let v = -2420 + 2423. Solve -1/3 + l**v - l + i*l**2 = 0 for l.
-1, -1/3, 1
Factor -72*i + 5*i**3 + 77*i**2 - 116*i**3 - 15*i**4 - 269*i**2 + 12*i.
-3*i*(i + 2)*(i + 5)*(5*i + 2)
Let t(f) = -3*f**2 - 3*f - 2. Suppose i + 56 = 4*j, -4*i + i - 63 = -5*j. Let c(b) = -21*b**2 - 21*b - 15. Let d(h) = j*t(h) - 2*c(h). Factor d(n).
-3*n*(n + 1)
Suppose -8*a = 12*a - 80. Solve 4*f**3 - 83*f - 85*f + a*f**2 + 160*f = 0.
-2, 0, 1
Let k(v) be the first derivative of -v**8/2016 - v**7/252 - 7*v**6/720 - v**5/120 + 27*v**2/2 - 27. Let d(n) be the second derivative of k(n). Factor d(a).
-a**2*(a + 1)**2*(a + 3)/6
Let f be (-1)/(-6) + (9200/192)/23. Factor 3*j + f + 3/4*j**2.
3*(j + 1)*(j + 3)/4
Let t(s) = 39*s**2 - 48*s + 19. Let k(m) = 40*m**2 - 48*m + 20. Suppose 0 = 6*g - 24. Let b(n) = g*t(n) - 3*k(n). Factor b(p).
4*(3*p - 2)**2
Let i be 1743/870 - (-1)/(3/(-6)). Let c = i - -1151/2610. Suppose -c*t + 2/9 - 2/9*t**4 + 0*t**2 + 4/9*t**3 = 0. What is t?
-1, 1
Let g = -518 - -522. Let i(x) be the first derivative of 2*x**2 + x**g - 8/3*x**3 + 0*x + 1. Let i(o) = 0. Calculate o.
0, 1
Factor 16*p**2 + 26*p + 11*p - 12*p - p**2 - 10.
5*(p + 2)*(3*p - 1)
Suppose -3*g = -j + 15, 5*j - 5 = 4*g + 15. Let u(b) be the third derivative of 0*b + 1/8*b**3 + j + b**2 - 1/80*b**5 + 0*b**4. Let u(k) = 0. What is k?
-1, 1
Let b(z) be the first derivative of 3*z**5/20 - z**4/2 - z**3/2 + z**2 + 3*z/4 + 56. Let b(v) = 0. Calculate v.
-1, -1/3, 1, 3
Let j(y) be the second derivative of 2*y**6/15 - 11*y**5/20 - y**4/4 + 8*y**3/3 + 2*y**2 - 67*y + 2. Suppose j(a) = 0. Calculate a.
-1, -1/4, 2
Solve -33905 - 4*n**2 - 56696 + 38682 - 44181 - 1240*n = 0 for n.
-155
Let s(z) = 26*z + 420. Let d be s(-16). Let w(a) be the third derivative of -10*a**2 + 0*a - 7/72*a**d + 1/60*a**5 + 1/9*a**3 + 0. Factor w(p).
(p - 2)*(3*p - 1)/3
Let c = -3415 - -3415. Factor 0*m + 0*m**2 + c + 4/3*m**3 + 5/3*m**5 + 4*m**4.
m**3*(m + 2)*(5*m + 2)/3
Let g(r) be the first derivative of -r**7/5460 - r**6/1170 - r**5/780 + 22*r**3/3 + 9. Let o(c) be the third derivative of g(c). Find q such that o(q) = 0.
-1, 0
Let m(q) be the second derivative of -11*q**7/42 - 311*q**6/120 - 283*q**5/80 - q**4/12 + q**3/2 + 588*q. Find g, given that m(g) = 0.
-6, -1, -1/4, 0, 2/11
Suppose -2 + 20 = -2*s. Let o be (-30)/s*72/75 + -2. Factor o*c**2 + 8/5 + 16/5*c.
2*(c + 2)*(3*c + 2)/5
Let 57/2*o - 15 - 3/2*o**3 - 12*o**2 = 0. What is o?
-10, 1
Let z be 12 - 306/36 - 38/(-12). Suppose -8/3*d + 0 + z*d**2 - 4*d**3 = 0. What is d?
0, 2/3, 1
Let f(y) be the second derivative of 0 + 0*y**2 + 1/120*y**6 - 1/48*y**4 + 0*y**5 + 0*y**3 - 14*y. Factor f(m).
m**2*(m - 1)*(m + 1)/4
Let c(g) be the second derivative of -g**6/1800 + g**5/150 + 5*g**3/2 - 12*g. Let s(q) be the second derivative of c(q). Solve s(m) = 0.
0, 4
Let a(p) = p**2 + 298*p - 598. Let b be a(2). Suppose -2/19*w**b - 162/19 - 36/19*w = 0. Calculate w.
-9
Let y(r) be the second derivative of -r + 0*r**2 - 1/30*r**4 + 0 - 1/100*r**5 + 1/180*r**6 + 5/6*r**3. Let b(w) be the second derivative of y(w). Factor b(f).
2*(f - 1)*(5*f + 2)/5
Let v(a) be the first derivative of 5*a**4/12 + 25*a**3/6 + 10*a**2 - 4*a + 53. Let m(c) be the first derivative of v(c). Suppose m(s) = 0. Calculate s.
-4, -1
Let i(g) be the second derivative of g**5/30 - 11*g**4/72 + 5*g**3/18 - 3*g**2/2 - 20*g. Let j(v) be the first derivative of i(v). Solve j(x) = 0.
5/6, 1
Let c(k) = k**3 + 19*k**2 + 33*k - 15. Let a be c(-17). Let 37*t**a - 1445 - 16*t**2 - 26*t**2 - 170*t = 0. Calculate t.
-17
Factor 52*h**4 - 39*h - 14633*h**5 + 14625*h**5 - 120*h**3 + 112*h**2 + 7*h.
-4*h*(h - 2)**3*(2*h - 1)
Let j(u) be the first derivative of -3*u**4/4 + 65*u**3 + 99*u**2 - 642. What is h in j(h) = 0?
-1, 0, 66
Let n(i) be the second derivative of -16*i + 8*i**2 - 8/3*i**3 + 0 + 1/3*i**4. Find o such that n(o) = 0.
2
Let j(g) be the first derivative of -g**4/66 + g**2/11 - 7*g + 13. Let v(n) be the first derivative of j(n). Factor v(m).
-2*(m - 1)*(m + 1)/11
Suppose -2*b - 3*b + 10 = 0. Suppose 0 = -8*n + 11 + 5. What is y in -b*y + 4*y - 6*y - 4*y**n = 0?
-1, 0
Let p(s) be the third derivative of s**6/900 + s**5/300 - 35*s**3/6 - 37*s**2. Let c(v) be the first derivative of p(v). Find o such that c(o) = 0.
-1, 0
Let t be 99/567 + 10/90. Solve 4/7*f**3 + 0*f + 0*f**2 + 0 - t*f**5 + 2/7*f**4 = 0 for f.
-1, 0, 2
Let t(d) be the third derivative of -d**2 + 0*d**5 + 1/30*d**4 + 0 + 0*d**3 + 0*d - 1/150*d**6. Solve t(o) = 0.
-1, 0, 1
Suppose 3*s - 2 = -2*x + x, -12 = -4*s + x. Let k(o) be the second derivative of 1/6*o**3 - 1/18*o**4 + s*o - 1/20*o**5 + 0 + 1/3*o**2. Factor k(p).
-(p - 1)*(p + 1)*(3*p + 2)/3
Let 47*g + 23*g + 18*g - 2*g**2 + 192 + 4*g**2 + 12*g = 0. Calculate g.
-48, -2
Suppose -8*h + 58 = -86. Let f be (33/h + -2)*(-9)/6. Factor 0 - f*j**3 - 1/4*j - 1/2*j**2.
-j*(j + 1)**2/4
Let s(c) be the first derivative of c**7/6300 + c**6/900 + c**5/450 - 19*c**3 + 52. Let t(w) be the third derivative of s(w). Solve t(a) = 0 for a.
-2, -1, 0
Let u(w) be the first derivative of 5*w**4/12 - 10*w**3/9 - 237. Factor u(q).
5*q**2*(q - 2)/3
Let a = 29298 + -29295. Solve 0 + 1/3*q**a + 0*q - 1/3*q**2 = 0.
0, 1
Suppose -4*w = -k - 16, -k + 20 = 5*w - 5*k. Find q, given that 51 - 2*q - 51 - 2*q**3 + 0*q**3 - w*q**2 = 0.
-1, 0
Factor 0*f + 0 + 2/7*f**2 + 0*f**4 - 3/7*f**3 + 1/7*f**5.
f**2*(f - 1)**2*(f + 2)/7
Let l(c) be the second derivative of 0*c**3 + 2/105*c**6 + 0*c**2 + 0*c**4 - 3/35*c**5 - 15*c + 0. Factor l(r).
4*r**3*(r - 3)/7
Suppose -4*q + 10 = 2*w, 3*q + q - 5*w = 17. Let 5 + 20*h - 4*h**4 + 10*h**2 + 2*h**2 + q - 4*h**3 = 0. Calculate h.
-1, 2
Let r(b) be the third derivative of -b**6/180 - 3*b**5/10 - 8*b**4/3 + 1280*b**3/9 - 4*b**2 - 55*b. Determine d, given that r(d) = 0.
-16, 5
Let b be 1 + -1 - 16/(-2). Let u = 620 + -616. Factor -3*j**5 + 9*j + j**5 - 9*j + 8*j**u - b*j**3.
-2*j**3*(j - 2)**2
Suppose 0 = -0*i + 2*i - 3*h + 33, -2*h = i - 1. Let l be 4/18 - (-2)/i. What is k in -4/7*k**2 + l + 0*k + 2/7*k**3 = 0?
0, 2
Let i = -84 - -92. Suppose -4*u + 2*y = -i, -1 = u + 4*y - 3. Factor 1/6*o**5 - 1/3*o**3 + 1/3*o**u - 1/6 + 1/6*o - 1/6*o**4.
(o - 1)**3*(o + 1)**2/6
Let r(k) be the first derivative of -9*k**4/8 - 10*k**3 - 27*k**2 - 24*k - 395. Solve 