te r.
-114, 1, 2
Let n(b) = -4*b**4 - 9*b**3 - 147*b**2 - 143*b + 310. Let t(h) = h**4 - 4*h + 2. Let v(l) = n(l) + 7*t(l). Find s, given that v(s) = 0.
-4, -3, 1, 9
Let y(g) be the second derivative of -g**7/21 + 13*g**6/15 - g**5 - 4*g**4 + 1074*g - 3. Let y(s) = 0. Calculate s.
-1, 0, 2, 12
Find h such that -5055477/8 - 127449/8*h - 1071/8*h**2 - 3/8*h**3 = 0.
-119
Let i(r) = r**3 + r**2 - r - 1. Let l(h) = h**4 - 10*h**3 + 9*h**2 - 8*h + 8. Let f(g) = -4*g + 5. Let z be f(1). Let d(o) = z*l(o) + 4*i(o). Solve d(t) = 0.
1, 2
Let c(q) = -5*q - 28. Let p be c(-6). Solve m**p + m**2 - 2*m**4 - m**3 - 43*m**5 + 44*m**5 = 0 for m.
-1, 0, 1, 2
Suppose -34125 = -37*c - 28*c. Let k = -525 + c. Factor -5/3*o**4 - 2*o**3 + 0*o**2 - 1/3*o**5 + 0*o + k.
-o**3*(o + 2)*(o + 3)/3
Let f(m) be the first derivative of 4*m**3 + 886*m**2 + 1176*m - 1217. Suppose f(s) = 0. What is s?
-147, -2/3
Factor 484/5 + 88/5*g + 4/5*g**2.
4*(g + 11)**2/5
Let f be ((-6)/(-12))/(4/6). Let v = -16818 - -16818. Suppose f - 3/4*n**2 + v*n = 0. Calculate n.
-1, 1
Let p(f) be the third derivative of -f**8/161280 + f**6/360 + 113*f**5/30 + 41*f**2 + f. Let d(i) be the third derivative of p(i). Suppose d(m) = 0. What is m?
-4, 4
Let v(y) be the third derivative of y**6/120 + 1699*y**5/20 + 2886601*y**4/8 + 4904335099*y**3/6 - 965*y**2 + 4. Solve v(l) = 0.
-1699
Suppose 0 = 3*j - 4*p + 14, 5*p + 10 = -5*j + 9*p. Factor 320 + 48*t**3 - 59*t**j - 4*t**4 + 6*t - 198*t - 5*t**2.
-4*(t - 10)*(t - 2)**2*(t + 2)
Let d(i) be the second derivative of 4*i**6/3 + 71*i**5/5 + 167*i**4/3 + 272*i**3/3 + 24*i**2 + 697*i. Find q, given that d(q) = 0.
-3, -2, -1/10
Let o(s) be the second derivative of -9*s**5/5 + 29*s**4 + 119*s**3/6 + 5*s**2 - 35*s - 10. Solve o(g) = 0.
-1/6, 10
Let r = -159265/23028 + -1/1919. Let w = -17/4 - r. Factor -34/3*x + w*x**4 + 2/3*x**5 - 28/3*x**2 + 0*x**3 - 4.
2*(x - 2)*(x + 1)**3*(x + 3)/3
Let 0 - 1/5*d**3 - 83/5*d**2 + 0*d = 0. What is d?
-83, 0
Let f(w) = w**5 + 19*w**4 + 15*w**3 + 3. Let g(z) = -20*z**4 - 16*z**3 - 4. Let h(i) = 4*i + 5. Let u be h(-2). Let r(k) = u*g(k) - 4*f(k). Factor r(b).
-4*b**3*(b + 1)*(b + 3)
Let o(k) be the first derivative of k**4 + 112*k**3/3 + 42*k**2 - 648*k + 1739. Factor o(v).
4*(v - 2)*(v + 3)*(v + 27)
Let r(v) be the first derivative of -v**5/90 + v**4/6 - 165*v**2 + 211. Let z(q) be the second derivative of r(q). Let z(n) = 0. Calculate n.
0, 6
Suppose 56*x + 4 = 58*x. Factor 113*f**2 - 75*f**3 - 30*f - 13*f**x + 140*f**2 - 5*f**2.
-5*f*(f - 3)*(15*f - 2)
Let k(u) = -1080*u - 58318. Let c be k(-54). Solve 0 - 2/5*p**3 + 32/5*p + 6*p**c = 0.
-1, 0, 16
Let b(o) be the second derivative of 2/15*o**3 + 116*o + 4/25*o**5 + 0*o**2 + 0 - 1/3*o**4. Determine s so that b(s) = 0.
0, 1/4, 1
Factor -116*v**3 - 17085*v + 149*v**4 + 17661*v + v**5 + 1156*v**2 + 844*v**3.
v*(v + 1)*(v + 2)**2*(v + 144)
What is z in -26*z**3 + 26*z - 24*z**4 + 45*z**2 + 26*z**4 + 25*z**2 - 72 - 22*z**2 + 22*z**2 = 0?
-1, 1, 4, 9
Let c(f) be the second derivative of f**8/3360 + f**7/336 - 13*f**3/6 - f**2 + 76*f + 2. Let b(o) be the second derivative of c(o). Solve b(s) = 0.
-5, 0
Find z, given that -42 - 1/4*z**3 + 9/4*z**2 + 5/2*z = 0.
-4, 6, 7
Let d(k) be the first derivative of 2*k**5/15 + 17*k**4/6 + 52*k**3/3 + 32*k**2/3 - 256*k/3 - 2722. Factor d(a).
2*(a - 1)*(a + 2)*(a + 8)**2/3
Suppose -9 = l - 4*d - 30, 2*l - 4*d = 26. Suppose 5*m = 5*q - 5, -5*q + 4 = -7*q + l*m. Factor -8/5*a + 38/5*a**2 + 0 - 37/5*a**q + 7/5*a**4.
a*(a - 4)*(a - 1)*(7*a - 2)/5
Find n, given that 63/2*n + 243 - 42*n**2 + 3/2*n**3 = 0.
-2, 3, 27
Factor 1240/7*g - 18/7*g**3 + 416/7 + 912/7*g**2.
-2*(g - 52)*(3*g + 2)**2/7
Suppose 25 - 2 = 5*o + 2*w, 2*o + 3*w = 18. Suppose -15*j + 6*j**2 - 6*j**4 + 3*j + 3*j + 6*j + o*j**5 = 0. What is j?
-1, 0, 1
Let n(v) be the first derivative of -3/7*v**2 + 5/21*v**3 - 1/42*v**4 - 22 - 9*v - 1/70*v**5. Let u(k) be the first derivative of n(k). Factor u(h).
-2*(h - 1)**2*(h + 3)/7
Suppose 15*x - 23*x + 1064 = 0. Let f = x + -383/3. Suppose -f*l - 2/3*l**3 + 14/3*l**2 - 32/3 = 0. What is l?
-1, 4
Determine d so that -506*d**3 - 23*d + 509*d**3 + 3*d**2 - 106*d + 123*d**2 = 0.
-43, 0, 1
Let w be (750/20)/15 - (-3)/2. Suppose -3*p = k + 5, -2*k + 5*p - w = 9*p. Find u, given that 8/7*u + 8/7*u**3 - 2/7 - 12/7*u**2 - 2/7*u**k = 0.
1
Let g(b) = -5*b**3 - 38*b**2 - 49*b - 25. Let i(t) = -24*t**3 - 186*t**2 - 244*t - 124. Let m(l) = -14*g(l) + 3*i(l). Solve m(k) = 0 for k.
-11, -1
Let z = 735 + -715. Let a(t) = t**3 - 19*t**2 - 15*t - 98. Let k be a(z). Let j**5 + 0*j**k + 2*j**3 + 8/3*j**4 + 0 - 1/3*j = 0. Calculate j.
-1, 0, 1/3
Let a(p) be the second derivative of p**7/168 + 11*p**6/24 + 159*p**5/80 + 157*p**4/48 + 13*p**3/6 + 226*p. Solve a(k) = 0 for k.
-52, -1, 0
Let q = 41 - 38. Suppose f - 12 = -0. Find b, given that -10*b**q + 8*b - 8*b**2 + 0*b**2 + f*b**3 = 0.
0, 2
Let d be (399/(-6) - -4)/(3*(3180/(-288) - -11)). Solve 144/5 + d*r**2 - 240*r = 0.
6/25
Let i = -2677768/5 - -535580. Let 3/5*d**5 + 0*d + 42/5*d**4 + 0 + i*d**3 + 24*d**2 = 0. What is d?
-10, -2, 0
Let a(m) be the first derivative of -m**4/4 - 2*m**3 + m**2/2 + 6*m + 2655. Solve a(n) = 0 for n.
-6, -1, 1
Let y(t) = -8*t**2 - 1934*t - 948683. Let l(j) = j**2 - 2*j + 1. Let m(g) = -35*l(g) - 5*y(g). Factor m(z).
5*(z + 974)**2
Suppose 5*v - 150 = -v. Suppose 5*s + u + v = -4*u, 2 = -s - 4*u. Let f(c) = -3*c**2 - 9*c + 6. Let t(b) = -b**2 + 1. Let i(j) = s*t(j) + f(j). Factor i(h).
3*h*(h - 3)
Let d(g) = 49*g - 7. Let a be d(1). Factor -18*f**2 + a*f**3 - 8*f**4 + 228*f - 40*f**2 - 216*f.
-2*f*(f - 3)*(f - 2)*(4*f - 1)
Let c = -10659/8 - -32009/24. Find v such that 1/9*v**2 + 7/9*v + c = 0.
-4, -3
Let p(g) be the third derivative of 1/180*g**6 + 121/4*g**4 - 153*g**2 + 0*g**3 + 11/15*g**5 + 0*g + 0. Determine t so that p(t) = 0.
-33, 0
Let r(t) be the first derivative of -9/2*t**2 + 1/6*t**3 - 9 + 81/2*t. Solve r(f) = 0 for f.
9
Factor 215146*n**4 - 10*n**2 + 3*n**5 + n**3 - 4*n**3 + 4*n**2 - 215140*n**4.
3*n**2*(n - 1)*(n + 1)*(n + 2)
Let d be ((-104)/12)/(6/(-27)). Find x such that 3*x - 4*x**4 - d*x**5 + 40*x**5 - 18 + 0*x**4 + 22*x**2 - 4*x**3 = 0.
-2, -1, 1, 3
Suppose -5*y = i - 30, -12462*y = 2*i - 12457*y - 30. Let 0*q**2 + i - 148/7*q**3 + 0*q + 4/7*q**4 = 0. Calculate q.
0, 37
Let s be 1/(-2*(-5)/30). Suppose -3*p + 14 = 4*q, 0 = -s*q + 2*q + 4*p - 6. Suppose -6*f + 9*f**3 - 6*f**2 + 5*f**2 - 3*f**5 - q*f**2 + 3*f**4 = 0. Calculate f.
-1, 0, 1, 2
Suppose -232 = -5*p - 4*t - 244, 5*t = -15. Factor 0 - 15/4*y**3 + 5*y + p*y**2 - 5/4*y**4.
-5*y*(y - 1)*(y + 2)**2/4
Let z(s) be the third derivative of 0*s - 2/105*s**5 + 10*s**2 + 0*s**3 + 1/840*s**6 - 1/2352*s**8 + 0*s**4 + 0 + 4/735*s**7. Let z(v) = 0. What is v?
-1, 0, 1, 8
Let -30/11*v + 12/11*v**2 + 16/11 + 2/11*v**3 = 0. Calculate v.
-8, 1
Let n(b) be the second derivative of 0 + 1/4*b**5 - b - 9*b**2 + 0*b**3 - 1/12*b**6 + 0*b**4 - 1/42*b**7. Let q(s) be the first derivative of n(s). Factor q(d).
-5*d**2*(d - 1)*(d + 3)
Suppose 0 = -22*z - 20*z + 41*z + 2. Let v = -113/28 + 30/7. Find o such that -v*o**3 - 1 + o**z + 1/4*o = 0.
-1, 1, 4
Find f such that 1635/4 + 78*f - 3/4*f**2 = 0.
-5, 109
Let p(u) = 1. Suppose 24 = -r - 5*g, -3*r - 3 = 3*g + 9. Let k(b) = 4*b**2 - 40*b + 37. Let m(l) = r*k(l) - p(l). Factor m(y).
4*(y - 9)*(y - 1)
Let m(v) be the third derivative of -v**6/360 + 29*v**5/60 + 89*v**4/36 - 2*v**2 - 562*v - 2. Factor m(h).
-h*(h - 89)*(h + 2)/3
Let p(r) be the third derivative of -r**7/1050 - 7*r**6/600 - 7*r**5/150 - r**4/15 - 1040*r**2. Find h, given that p(h) = 0.
-4, -2, -1, 0
Let g(z) = z**2 + 3*z - 56. Let p(i) = -i**2 + i + 54. Let q(k) = 3*g(k) + 2*p(k). Let q(u) = 0. Calculate u.
-15, 4
Let p(y) be the third derivative of y**5/300 - 6*y**4/5 - 149*y**3/6 - 987*y**2 - 3*y. Find f, given that p(f) = 0.
-5, 149
Suppose -5*f - 1 = 5*o - 8*o, -3*f + 5 = o. Solve 3*p**2 + 24*p - 1 - p**o + 70 + 11 - 8 = 0 for p.
-6
What is q in 690*q + 1034/3 + 4/3*q**2 = 0?
-517, -1/2
Let a = 5449991/7 - 776081. Determine d so that -396/7*d**2 - 255552/7 + a*d + 3/7*d**3 = 0.
44
Let v(d) be the first derivative of -d**6/3 - 48*d**5/5 - 139*d**4/2 - 112*d**3 + 140*d**2 + 384*d + 498. Solve v(o) = 0.
-16, -6, -2, -1, 1
