d**2/2 + 20*d. Let t(l) be the first derivative of x(l). Let t(g) = 0. What is g?
0, 4
Determine g so that 2/7*g**3 + 4/7 + 8/7*g**2 + 10/7*g = 0.
-2, -1
Let u(z) be the second derivative of z**7/1260 + z**6/360 - z**5/30 - 5*z**4/4 + 9*z. Let v(b) be the third derivative of u(b). Factor v(c).
2*(c - 1)*(c + 2)
Let r(x) = -5*x**3 - 2*x**2 - x. Let g be r(-1). Let d = g - -2. Factor -5*j**3 + j**3 - 4 + 2*j**3 + d*j.
-2*(j - 1)**2*(j + 2)
Let a be (1959/(-30) + -4)*(-1 - 1). Let j = 139 - a. Suppose -1/5 - j*o + 2/5*o**3 + 4/5*o**2 - 3/5*o**4 = 0. Calculate o.
-1, -1/3, 1
Let j(n) be the third derivative of n**5/90 - 4*n**4/63 + 4*n**3/63 + 70*n**2. Factor j(v).
2*(v - 2)*(7*v - 2)/21
Let h(m) = 2*m**2 - 16*m - 28. Let z(v) = v**2 - 15*v - 25. Let x(f) = -3*h(f) + 4*z(f). Factor x(g).
-2*(g + 2)*(g + 4)
Let r(x) be the second derivative of -x**7/70 - 4*x**6/25 - 18*x**5/25 - 17*x**4/10 - 23*x**3/10 - 9*x**2/5 - 262*x. What is h in r(h) = 0?
-3, -2, -1
Let r(h) = 10*h**4 + 450*h**3 - 1510*h**2 + 2520*h - 1385. Let j(a) = -a**4 - 50*a**3 + 168*a**2 - 280*a + 154. Let m(p) = -55*j(p) - 6*r(p). Factor m(t).
-5*(t - 4)*(t - 2)**3
Let g(i) be the first derivative of -1/9*i**3 - 35 - 3*i - i**2. Solve g(n) = 0.
-3
Let l = 2363/8 + -295. Let k(x) be the third derivative of -3/70*x**7 + 1/112*x**8 + 0*x + 1/10*x**5 - x**2 + 0 + 1/2*x**3 - l*x**4 + 1/20*x**6. Factor k(g).
3*(g - 1)**4*(g + 1)
Suppose -4*d - 3*j = -17, -2*j - 11 = -2*d - 13. Solve 20*l - 3*l**d + l**2 - 245 - 3*l**2 - 90*l = 0 for l.
-7
Suppose -429*j - 159 = -482*j. Find x, given that 0*x + 0 + 6/5*x**2 + 27/5*x**j + 3*x**5 + 36/5*x**4 = 0.
-1, -2/5, 0
Let c = -2/1027 + 1037/5135. Let k(f) be the second derivative of -9*f + 1/60*f**4 + c*f**2 + 0 - 1/10*f**3. Factor k(s).
(s - 2)*(s - 1)/5
Let s(i) be the second derivative of 3/20*i**5 + 1/4*i**4 + 0 - i**3 + 0*i**2 + 4*i. Find m such that s(m) = 0.
-2, 0, 1
Let x = 36 - 25. Suppose 3*u = u + 5*n - x, -5*n = 3*u - 21. Find a, given that -a**2 - a**2 - 3*a + a**2 - u = 0.
-2, -1
Solve 11*p**4 + 86*p**3 - 47*p**4 - 8*p**2 - 42*p**3 = 0.
0, 2/9, 1
Let k(t) be the second derivative of 2*t**6/75 - 2*t**5/25 + 4*t**3/15 - 2*t**2/5 - 99*t. Factor k(z).
4*(z - 1)**3*(z + 1)/5
Suppose 0 = 5*w - 2*w - 15. Suppose 3*n - 17 = -8. Suppose -5*r**n + 2*r**w + r**5 + 4*r**3 - 2*r**5 = 0. Calculate r.
-1, 0, 1
Let y(v) be the first derivative of 3/70*v**5 + 0*v**2 + 12 - 1/28*v**4 - 1/7*v**3 + 12*v + 1/70*v**6. Let z(i) be the first derivative of y(i). Factor z(p).
3*p*(p - 1)*(p + 1)*(p + 2)/7
Suppose 10*b - 60 = 5*b. Find h, given that 61*h - 4*h**3 - b*h**4 - 61*h = 0.
-1/3, 0
Suppose 0 = 2*v + 5 - 9. Let q = 6 + -4. Find z, given that -2 - 2*z**v + 4*z**2 - z**2 + z**q = 0.
-1, 1
Suppose -3*z = 5*s + 70 - 14, 2*s - 3*z = -35. Let y = -8 - s. Determine w so that -2*w**3 - w**3 - w - 2*w + w + y*w**2 = 0.
0, 2/3, 1
Let o(w) be the first derivative of 52 + 5*w + 5/2*w**4 - 5*w**2 + 0*w**3 - w**5. What is l in o(l) = 0?
-1, 1
Suppose y = -0*y. Let z(d) be the first derivative of 0*d**2 - 1/20*d**5 - 1/24*d**6 - 2 + 0*d + y*d**3 + 1/8*d**4. Factor z(s).
-s**3*(s - 1)*(s + 2)/4
Let j(s) be the second derivative of -s**7/10080 + s**5/120 + 17*s**4/12 - 8*s. Let w(b) be the third derivative of j(b). Factor w(d).
-(d - 2)*(d + 2)/4
Let u = 681/2233 - 25/203. Factor u*o**3 + 8/11*o**2 + 4/11 + 10/11*o.
2*(o + 1)**2*(o + 2)/11
Suppose 86*w + 470*w - 6*w = 1100. Let -1/11*a - 1/11*a**w + 2/11*a**3 + 0 = 0. Calculate a.
-1/2, 0, 1
Let s(b) = b**3 - b**2 - b + 3. Let t(o) = -7*o**3 + 77*o**2 + 82*o - 6. Let q(h) = 2*s(h) + t(h). Factor q(g).
-5*g*(g - 16)*(g + 1)
Let g(n) be the third derivative of -1/20*n**5 + 1/120*n**6 + 1/210*n**7 + 0 + 0*n - 1/24*n**4 + 2*n**2 + 1/3*n**3. Let g(s) = 0. What is s?
-2, -1, 1
Let t be 33*(-62)/(-3069)*18/4. Factor -2/7*o**2 + 2/7 + 2/7*o**t - 2/7*o.
2*(o - 1)**2*(o + 1)/7
Let f = 3076/2065 + -18/295. Let d be 16/(-14) + (-2)/(-1). Find k, given that -20/7*k**4 + 4/7 + f*k + 0*k**2 - d*k**5 - 20/7*k**3 = 0.
-1, 2/3
Let k(g) be the first derivative of 0*g + 3/2*g**2 - g**3 - 7. Suppose k(o) = 0. Calculate o.
0, 1
Let t(p) be the second derivative of p**6/45 - 7*p**5/15 + 4*p**4 - 18*p**3 + 45*p**2 - 9*p + 9. Find g such that t(g) = 0.
3, 5
Let o = -333 - -335. Factor 0*t + 2/5*t**o - 2/5.
2*(t - 1)*(t + 1)/5
Let n(a) be the second derivative of -2*a**6/15 + a**4/3 + 54*a. Determine m, given that n(m) = 0.
-1, 0, 1
Let y be 6/(7/(140/(-15))). Let f(d) = d**3 + 2*d**2 - 47*d + 8. Let z be f(y). Suppose -2/5*n**2 + z + 0*n + 1/5*n**3 + 1/5*n**4 = 0. Calculate n.
-2, 0, 1
Let s = 91 - 91. Suppose s = -10*j + 11*j - 4. Let -j - 1/4*h**4 + 8*h - 6*h**2 + 2*h**3 = 0. Calculate h.
2
Let n(r) be the first derivative of -r**4 - 4*r**3/3 + 24. Factor n(f).
-4*f**2*(f + 1)
Let i be (-152)/133*((-60)/56 + 6/(-14)). Factor 9/7*g**3 + 3/7*g + 0 + i*g**2.
3*g*(g + 1)*(3*g + 1)/7
Let m = 121 - 119. Let q(f) be the third derivative of -1/15*f**3 + 0*f + 0*f**4 + 1/150*f**5 + 0 + 2*f**m. Solve q(d) = 0 for d.
-1, 1
Let i be 8/16 - (-4)/(-14)*15. Let o = i - -30/7. Factor -o - n - 1/2*n**2.
-(n + 1)**2/2
Let z(d) = -85*d**3 + d**2 + d + 1. Let i be z(-1). Suppose -i*m = -87*m + 2. Factor 1/6*b**3 + 0 - 1/2*b - 1/3*b**m.
b*(b - 3)*(b + 1)/6
Let a be (-1 + -4)/(-30)*68/17. Let j(t) be the first derivative of -16/27*t**3 - 1 + 1/9*t**4 + 0*t + a*t**2. Suppose j(s) = 0. Calculate s.
0, 1, 3
Let f(w) be the first derivative of -3*w**4 - 4/3*w**3 + 4*w - 17 + 6*w**2. Suppose f(d) = 0. Calculate d.
-1, -1/3, 1
Let t(d) be the third derivative of -d**5/270 - 7*d**4/54 + 2*d**2 - 25*d. Factor t(a).
-2*a*(a + 14)/9
Let y(o) = o**3 - 8*o**2 + 8*o - 5. Let p be y(7). Suppose -7*a = -6*a - p. Factor 8/7*i + 8/7 - 6/7*i**a.
-2*(i - 2)*(3*i + 2)/7
Let u = -3133 + 21947/7. Factor u*x**2 + 0 + 2/7*x**4 - 10/7*x**3 - 8/7*x.
2*x*(x - 2)**2*(x - 1)/7
Factor 112*d - 6272 - 1/2*d**2.
-(d - 112)**2/2
Determine i, given that 52/7*i**2 - 10/7*i**4 - 48/7 + 104/7*i - 26/7*i**3 = 0.
-3, -2, 2/5, 2
Let x(s) = -12*s**5 - 5*s**4 - 7*s**3 + 5*s**2 + 5. Let h(v) = 14*v**5 + 4*v**4 + 6*v**3 - 6*v**2 - 6. Let t(n) = 5*h(n) + 6*x(n). What is o in t(o) = 0?
-3, -2, 0
Let f(q) = -3*q**2 + 15*q + 21 - 144 - 37*q. Let k(y) = -4*y**2 - 22*y - 124. Let l(s) = 3*f(s) - 2*k(s). Solve l(d) = 0.
-11
Let i(v) = v**3 + 1. Let k be i(0). Let b be (-5)/(-2) + (k - (-15)/(-5)). Suppose 0 - b*w - 1/2*w**3 + w**2 = 0. What is w?
0, 1
Let c(f) be the second derivative of 8*f + 0 + 0*f**2 + 0*f**3 + 1/6*f**4 - 1/10*f**5. Determine j, given that c(j) = 0.
0, 1
Factor 0*i - 3/10*i**3 - 13/10*i**5 + 0 + 8/5*i**4 + 0*i**2.
-i**3*(i - 1)*(13*i - 3)/10
Let q(w) be the third derivative of 0 + 128/3*w**3 - 21*w**2 + 0*w + 1/15*w**5 - 8/3*w**4. Suppose q(m) = 0. Calculate m.
8
Let h(l) be the third derivative of -l**5/210 + l**4/84 + 2*l**3/7 - l**2 - 10. Factor h(k).
-2*(k - 3)*(k + 2)/7
Let q(f) = 10*f + 46. Let a be q(8). Suppose -4*o**3 + 196*o**4 - 38*o**3 - 36 - a*o**3 - 160*o**2 + 168*o = 0. Calculate o.
-1, 3/7, 1
Suppose 4 + 11 = 5*r. Let u(k) = 7*k**2 - 15*k + 11. Let m(t) = -3*t + 13*t**2 + 10 + 1 + 10 - 26*t. Let h(o) = r*m(o) - 5*u(o). Factor h(n).
4*(n - 2)*(n - 1)
Suppose -316*t = 224 - 421 - 435. Let -4/3*k**3 + 2/9*k**4 + t*k**2 - 8/3 + 8/9*k = 0. What is k?
-1, 2, 3
Let a(v) be the second derivative of v**4/12 - 5*v**3/3 + 2*v**2 + 24*v. Let j(y) = -9*y + 3. Let g(w) = 3*a(w) - 4*j(w). Let g(u) = 0. What is u?
-2, 0
Let h be (2 - (-88)/32) + -4. Let q(b) be the second derivative of 2/5*b**6 + 1/2*b**4 + h*b**5 + 1/14*b**7 + 0 - 6*b + 0*b**3 + 0*b**2. Factor q(v).
3*v**2*(v + 1)**2*(v + 2)
Let a(l) = l**2 + 109*l - 4168. Let m be a(-139). Let 3/2*o - 3/2*o**m + 0 = 0. What is o?
0, 1
Let x be 32/110 - (672/(-140))/(-24). Let 3/11*s**4 + 3/11*s - 2/11*s**2 - 1/11*s**5 - x - 2/11*s**3 = 0. What is s?
-1, 1
Let k be (6 - 5)/((-3)/(-405)). Let g = k - 133. Suppose 2/3*t + 2/3*t**5 - 4*t**g + 2*t**4 + 2 - 4/3*t**3 = 0. Calculate t.
-3, -1, 1
Let q(u) be the third derivative of -u**6/60 + 4*u**5/15 + 65*u**2. Factor q(d).
-2*d**2*(d - 8)
Factor 3/2 + 3/8*w**2 + 3/2*w.
3*(w + 2)**2/8
Factor v**5 - 2846*v**2 + 1425*v**2 - 9*v**3 + v**4 + 1416*v**2 + 12 + 16*v.
(v - 2)**2*(v + 1)**2*(v + 3)
Let a(j)