 - 12. Let z(v) = v**2. Let d(k) = -k**2 - 12*k - 45. Let m = -45 - -38. Let b be d(m). Let l(t) = b*z(t) - 2*y(t). Solve l(h) = 0.
-3/4, 2
Let s(g) be the third derivative of -1/180*g**5 + 9*g**2 - 13/18*g**4 + 0 - 338/9*g**3 - 6*g. What is t in s(t) = 0?
-26
Let r = -498 + 564. What is u in r*u**2 - 48 + 4*u + 0*u - 129*u**2 + 67*u**2 = 0?
-4, 3
Let y(v) be the second derivative of -13/2*v**4 + 27*v**3 + 25*v - 7 - 41*v**2 - 1/10*v**5. Suppose y(t) = 0. What is t?
-41, 1
Let r = -17 - -56. Suppose 3*b + 2*c - r = -c, 4*b = -2*c + 44. Factor -7 - b - 4*v**2 + 14 - 2 - 8*v.
-4*(v + 1)**2
Let n(m) be the second derivative of m**4/48 + m**3 + 95*m**2/8 + 4*m - 51. Solve n(g) = 0 for g.
-19, -5
Suppose 19*y - 15*y = -120. Let x be (-4)/(-12) + 3 + (-1484)/y. Solve -352/15*w**3 - 64/5*w - 128/15 + 14/5*w**4 + x*w**2 = 0.
-2/7, 2/3, 4
Let q(l) be the first derivative of -l**3/6 + 163*l**2/4 - 240*l + 7542. Determine x so that q(x) = 0.
3, 160
Let u(k) be the third derivative of k**6/480 - k**5/240 - 5*k**4/48 - k**3/3 - 2*k**2 + 2*k - 12. Let u(j) = 0. What is j?
-2, -1, 4
Let f(q) be the third derivative of -13/285*q**6 + 2*q - 45*q**2 - 2/57*q**7 + 7/456*q**8 + 0*q**3 + 0*q**4 - 4/285*q**5 + 0. Factor f(n).
2*n**2*(n - 2)*(7*n + 2)**2/19
Let f(g) be the third derivative of -1/231*g**7 - 8/11*g**3 + 0 - g - 8*g**2 + 1/220*g**6 + 7/55*g**5 - 1/3*g**4. Find s, given that f(s) = 0.
-3, -2/5, 2
Let q(v) be the second derivative of -v**4/54 + 193*v**3/27 - 553*v. Let q(j) = 0. Calculate j.
0, 193
Suppose -2*m - 4 = -11*y + 9*y, 3*m = -3*y + 6. Let 20*h**y - 8*h + 32 + 15*h**2 - 39*h**2 = 0. What is h?
-4, 2
Determine j, given that -15154*j**3 + 202*j**4 + j**5 + 24504*j**3 + 388060 + 65625*j - 87100*j**2 + 163190 = 0.
-105, -2, 5
Suppose 4135 - 4138 = -t. What is c in 0 - 6*c**2 + 1/3*c**5 + 2/3*c**4 - 8/3*c**3 - t*c = 0?
-3, -1, 0, 3
Let b(f) = -f**5 - f**3 + 2*f**2 + 1. Let z(y) = 10*y**5 + 25*y**4 - 93*y**3 + 58*y**2 - 11. Let p(j) = 22*b(j) + 2*z(j). Let p(r) = 0. What is r?
0, 1, 4, 20
Let f = 5 + -13. Let t = f + 13. Determine m, given that -5 - 4*m**4 + 32*m**2 - 20*m**2 + t - 8*m = 0.
-2, 0, 1
Let 15701*a - 18617*a + 2700*a**2 - 517*a**3 - a**5 + 298*a**4 - 348*a**4 = 0. What is a?
-27, 0, 2
Suppose -525 = -5*i + 10*i. Let c = -101 - i. Determine z so that -11*z**3 - 10*z**5 + 8*z**2 + 6*z**4 - 21*z**3 + 28*z**c = 0.
0, 2/5, 1, 2
Suppose 3*w + 459 = -l - 227, -3462 = 5*l - w. Let z = l + 4848/7. Let -8/7*k + 0 - z*k**2 = 0. What is k?
-2, 0
Let v(q) be the first derivative of -q**6/30 - 3*q**5/20 + 5*q**4/12 + q**3/2 - 2*q**2 - 83*q + 75. Let j(y) be the first derivative of v(y). Solve j(o) = 0.
-4, -1, 1
Let g(m) be the second derivative of m**5/120 - 241*m**4/36 + 481*m**3/36 - 4869*m. Determine z, given that g(z) = 0.
0, 1, 481
Let r(c) = -5*c**4 - 1235*c**3 - 79380*c**2 + 50. Let v(q) = q**3 + 2. Let n(u) = r(u) - 25*v(u). Solve n(o) = 0.
-126, 0
Let z(l) = -10*l**2 - 153615*l + 130815685. Let v(t) = -t**2 - 17068*t + 14535077. Let k(w) = 55*v(w) - 6*z(w). Factor k(f).
5*(f - 1705)**2
Find o such that 38/3 - 298/3*o**2 + 245/3*o + 5*o**3 = 0.
-2/15, 1, 19
Suppose -447*v = -1710*v + 2526. What is d in -6/11*d**4 - 2/11*d**3 + 10/11 - 1/11*d**5 + 27/11*d + 20/11*d**v = 0?
-5, -1, 2
Determine y, given that 600*y**3 - 406*y - 48*y**4 - 243*y**2 + 324 - 383*y + 222*y = 0.
-1, 3/4, 12
Let m(j) = 216*j**3 + 1082*j**2 + 840*j - 16. Let z(g) = 432*g**3 + 2167*g**2 + 1678*g - 32. Let v(w) = -5*m(w) + 2*z(w). Let v(b) = 0. Calculate b.
-4, -1, 1/54
Factor 17*w + 1624 + 379*w + 929*w - 1014 + 2020 + 5*w**2.
5*(w + 2)*(w + 263)
Let o(l) = 4*l**2 + 4*l + 0*l**2 - 6 - l**3 - 2*l**2 + 4*l**2. Let j be o(5). What is t in 3 + j*t - 2 + 19 - 14*t + 5*t**2 = 0?
-4, -1
Suppose -4*i = -2*i - 28. Let j be ((-8)/28)/((-2)/i). Factor -t**5 + 160*t**j + 10 - 160*t + 20*t**4 - t**5 - 1 - 80*t**3 + 55.
-2*(t - 2)**5
Let t(v) be the first derivative of 5*v**3/3 + 100*v**2 - 1125*v + 4377. Factor t(c).
5*(c - 5)*(c + 45)
Let i(t) = t + 31. Let d be i(-29). Factor -7100*y**3 - 6*y**2 - 12*y**d + 7098*y**3 - 16*y.
-2*y*(y + 1)*(y + 8)
Determine h so that 516/5 - 1/5*h**2 - 103*h = 0.
-516, 1
Let a(c) be the third derivative of 41/12*c**5 + 0*c**3 + 1/6*c**6 + 0 + 25/12*c**4 + 0*c + 28*c**2. Determine f so that a(f) = 0.
-10, -1/4, 0
Let z(f) be the first derivative of 61 + 6/23*f**2 - 32/23*f + 2/69*f**3. Factor z(r).
2*(r - 2)*(r + 8)/23
What is r in 6/7*r**4 + 76/7*r**2 - 82/7 + 248/7*r - 248/7*r**3 = 0?
-1, 1/3, 1, 41
Determine b so that -2*b**4 - 2/9*b**5 + 16/3 + 52/9*b - 50/9*b**3 - 10/3*b**2 = 0.
-4, -3, -2, -1, 1
Find j, given that 116162/3 + 1/6*j**2 + 482/3*j = 0.
-482
Factor 165245 - 23*d**2 - 1860*d - 453545 - 26*d**2 - 26*d**2 + 72*d**2.
-3*(d + 310)**2
Let k(z) = 0*z**2 - 5 - 2*z**2 + 24 + z**2 + 9*z. Let d be k(10). Factor -37*v - 20*v**2 - 43 + d*v - 4*v**3 + 31.
-4*(v + 1)**2*(v + 3)
Let v(h) be the second derivative of -3*h**5/160 - 17*h**4/24 - 313*h**3/48 + 7*h**2 + 24*h + 6. Factor v(b).
-(b + 7)*(b + 16)*(3*b - 1)/8
Let q(f) be the third derivative of -f**7/195 + f**6/52 - 6*f**2 + 28*f - 8. Factor q(r).
-2*r**3*(7*r - 15)/13
Let m(h) = -40*h**2 + 31092*h + 5482824. Let j(t) = -7*t**2 + 5653*t + 996877. Let p(n) = 28*j(n) - 5*m(n). Find s such that p(s) = 0.
-353
Let v be (166 - 186)*(-4)/5. Suppose -282*i + 286*i = v. Determine f so that 3/2*f**2 - f - f**3 + 1/4 + 1/4*f**i = 0.
1
Let n(j) be the second derivative of 2*j + 73 - 12/5*j**2 - 13/20*j**4 + 13/5*j**3 - 3/20*j**5. What is v in n(v) = 0?
-4, 2/5, 1
Let n(d) be the second derivative of d**4/108 + 221*d**3/54 - 50*d**2 + 6763*d. Let n(j) = 0. Calculate j.
-225, 4
Let f(a) be the first derivative of -a**6/280 - a**5/105 + a**4/42 - 86*a**2 + 253. Let h(x) be the second derivative of f(x). Determine t, given that h(t) = 0.
-2, 0, 2/3
Let b = 369 - 364. Let w(c) = 8*c**3 - 2*c**2 - 5*c - 5. Let h(x) = -44*x**3 + 12*x**2 + 28*x + 28. Let t(k) = b*h(k) + 28*w(k). Factor t(y).
4*y**2*(y + 1)
Determine d, given that -486/5 + 3/5*d**4 - 81/5*d**2 - 9/5*d**3 + 81*d = 0.
-6, 3
Let k be ((-6)/(-10))/((-10584)/(-101920)). What is h in -14/9*h**3 - 4/3 + k*h**2 - 26/9*h = 0?
-2/7, 1, 3
Suppose f + 22 - 5 = 0. Let o be f/(-5) + (-15)/(-25). Factor -2*r - 5*r**o + 5 + 16*r + 76*r**3 - 86*r**3 - 4*r.
-5*(r - 1)*(r + 1)**3
Let z(o) = 2*o + 2. Let x be z(8). Factor -6*h**2 + x*h**2 - 6*h**2 - 10*h**3 - 5*h - 21*h**2.
-5*h*(h + 1)*(2*h + 1)
Let a(v) = 32*v**5 - 32*v**4 - 102*v**3 + 30*v**2 + 60. Let j(n) = n**5 - 2*n**4 + n**2 + 2. Let i(m) = -2*a(m) + 60*j(m). Factor i(w).
-4*w**3*(w - 3)*(w + 17)
Let k(f) be the second derivative of 0*f**2 - 1/10*f**5 + 6 + 5/3*f**4 + 4*f - 25/3*f**3. Solve k(j) = 0.
0, 5
Suppose -8*w + 171 = -5. Factor -w*h + 5*h**2 - 124 - 26 + 87*h.
5*(h - 2)*(h + 15)
Factor -3*c**3 - 2*c**4 + 14*c**3 - 304*c**2 + 23*c**3 + 357*c + 187*c + 16*c**3.
-2*c*(c - 17)*(c - 4)**2
Factor 0 - 11*f - 1/3*f**2.
-f*(f + 33)/3
Let x(c) be the third derivative of -3*c**2 + 0*c**4 + 4/15*c**5 - 1/210*c**7 - 15 + 0*c**6 + 0*c + 0*c**3. Factor x(v).
-v**2*(v - 4)*(v + 4)
Suppose 2470*j - 2465*j - 5*g = 5, g = -3*j - 1. Find b, given that 18/5*b + 48/5*b**2 + j + 32/5*b**3 = 0.
-3/4, 0
Let a = 91534 - 91532. Factor 6/13*r + 4/13 + 2/13*r**a.
2*(r + 1)*(r + 2)/13
Let a(q) be the second derivative of -q**4/18 + 28*q**3/3 + 809*q. Factor a(d).
-2*d*(d - 84)/3
Let b(h) be the second derivative of -3/20*h**5 + 0*h**2 - 41*h + h**3 - 1/4*h**4 + 0. Solve b(a) = 0 for a.
-2, 0, 1
Let t(l) = l**3 - 9*l**2 + l - 5. Let f be t(9). Suppose 0 = -0*g - 3*g + 15, -5*g = -f*s + 11. Factor 10*i**3 - 7*i**4 + s*i**4 - 8*i**2 - 4*i**4.
-2*i**2*(i - 4)*(i - 1)
Factor 1/2*t**3 + 132*t**2 + 11616*t + 340736.
(t + 88)**3/2
Let n be (-44)/66 - (-3)/9*-26. Let f = n - -29/3. Suppose f*t**2 - 1 + 2/3*t = 0. Calculate t.
-3, 1
Let c(p) = -34*p**2 - 148*p - 26. Let u(b) = -16*b**2 - 73*b - 11. Let w(o) = -4*c(o) + 7*u(o). What is r in w(r) = 0?
-3, -3/8
Suppose 41*b = 89*b - 49*b. Let v(g) be the third derivative of 0 - 1/720*g**6 + b*g + 1/48*g**4 + 1/18*g**3 + 0*g**5 + 18*g**2. Solve v(z) = 0.
-1, 2
Let d(u) be the first derivative of -111/2*u**2 + 57*u + 3/4*u**4 + 17*u**3 - 11. Solve d(n) = 0.
-19, 1
Factor 50220 - 2961*t - 