ine b, given that h(b) = 0.
-1, 2/5, 4
Let v be 2/12 + (-4)/(-14)*1127/966. Find t such that -4*t + 9/2 - v*t**2 = 0.
-9, 1
Let x(r) be the third derivative of -r**6/40 + 3*r**5/10 + 85*r**4/8 + 39*r**3 - r**2 - 2651. Let x(c) = 0. What is c?
-6, -1, 13
Let i(d) be the first derivative of -4*d**5/15 - 5*d**4/3 + 52*d**3/9 - 14*d**2/3 + 1041. Let i(c) = 0. What is c?
-7, 0, 1
Let r = -12763 + 23471/2. Let z = r + 1052. Find k such that -28*k**2 + 8*k + 0 + z*k**3 = 0.
0, 4/7
Let j = -11662/5 + 2334. Let m(i) be the first derivative of -j*i - 36/5*i**2 - 54/5*i**3 - 10. Suppose m(g) = 0. Calculate g.
-2/9
Suppose 3*z + 39 = 5*m, -111*m = -116*m - 3*z - 9. Factor 8/15*f + 2/15*f**m + 0 + 2/3*f**2.
2*f*(f + 1)*(f + 4)/15
Let p(n) = 334*n + 807 + 3*n**3 - 59*n**2 + 5*n**2 + n**3 - 417. Let j(q) = q**3 - q - 1. Let f(o) = 2*j(o) - p(o). Find g, given that f(g) = 0.
-1, 14
Let t be 8 + 5/((-10)/6). Suppose 3*v = -w + 58, -85 - 3 = -3*v + t*w. Let -v*x**3 - x**4 - 20*x**3 + 4*x + 38*x**3 = 0. Calculate x.
-2, 0, 1
Let p be (52/(-20))/((-2)/230). Let q(x) = -6*x - 10 - p*x**2 + 303*x**2 - 8*x. Let t(m) = 16*m**2 - 56*m - 41. Let l(v) = -18*q(v) + 4*t(v). Factor l(d).
-4*(d - 4)*(2*d + 1)
Let k be 252/135*380/266. Factor k*z**3 - 20/3 - 58/3*z**2 + 94/3*z.
2*(z - 5)*(z - 2)*(4*z - 1)/3
Let a be 35 - (-4)/((-16)/4). Suppose -115 + a = -9*r. Factor 14 - s**2 - 2*s**2 - r*s - 2.
-3*(s - 1)*(s + 4)
Let i(h) = -33*h**5 + 72*h**4 + 63*h**3 - 12. Let o(v) = -27*v**5 + 72*v**4 + 64*v**3 - 10. Let d(r) = 5*i(r) - 6*o(r). Solve d(u) = 0.
-23, -1, 0
Let w = 454541 + -3181785/7. Solve -32/7 - 64/7*v + w*v**2 + 4/7*v**3 = 0.
-4, -1/2, 4
Let t(n) be the second derivative of 9*n - 4 + 1/30*n**4 - 7/30*n**3 - 2/5*n**2. Factor t(a).
(a - 4)*(2*a + 1)/5
Let w(y) = 5*y**2 - 3*y + 3. Let z(i) be the third derivative of 11*i**5/60 - 7*i**4/24 + 7*i**3/6 + 72*i**2. Let m(u) = -14*w(u) + 6*z(u). Solve m(a) = 0.
0
Let -3110018/5 - 2/5*q**2 - 4988/5*q = 0. What is q?
-1247
Solve -68/9*n**3 - 2/9*n**4 - 1912/9*n - 634/9*n**2 - 448/3 = 0.
-21, -8, -4, -1
Let r(d) = -24*d**2 + 27*d. Let b(o) = 11*o**2 - 14*o. Let i(a) = -9*b(a) - 4*r(a). Determine z so that i(z) = 0.
0, 6
Let o(j) be the third derivative of j**8/1344 - 11*j**7/840 + 43*j**6/480 - 73*j**5/240 + 7*j**4/12 - 2*j**3/3 + 191*j**2. What is p in o(p) = 0?
1, 4
Let t = 14 - 12. Suppose -10 = -4*z - t*p, -3*z = -z + 2*p. Determine k so that 2*k**3 + 4*k**4 + 1 + 6*k**3 - 8*k - z = 0.
-1, 1
What is c in -25 + 11*c + 20 + 81 - c**2 - 16 = 0?
-4, 15
Suppose 0 = -881*g + 884*g + 1323. Let p = g - -443. Find q, given that -3*q - 21/8 - 3/8*q**p = 0.
-7, -1
Let z(n) be the third derivative of n**5/36 - 115*n**4/24 - 355*n**3/9 - 1588*n**2. Factor z(a).
5*(a - 71)*(a + 2)/3
Let w(s) be the third derivative of s**5/60 - 19*s**4/24 - 7*s**3 - 75*s**2 + 12*s. Let w(j) = 0. What is j?
-2, 21
Let k(b) be the third derivative of -37*b**5/48 + 47*b**4/24 - b**3/8 - 374*b**2. Factor k(o).
-(o - 1)*(185*o - 3)/4
Let f = -36 - -50. Let q = -12 + f. Factor 1 + 0*i - 3*i**q - 12*i**2 - i - i.
-(3*i + 1)*(5*i - 1)
Let t(c) be the third derivative of 22831*c**6/300 - 799*c**5/25 + 3*c**4 + 8*c**3/15 - 369*c**2 - c. Factor t(v).
2*(17*v - 2)**2*(79*v + 2)/5
Let o(j) be the third derivative of 5/8*j**5 + 46*j**2 + 1 - 13/16*j**4 - 11/80*j**6 + 0*j**3 + 0*j - 1/140*j**7. Solve o(t) = 0 for t.
-13, 0, 1
Let y(l) be the second derivative of -l**4/3 - 52*l**3 - 2320*l**2 - 92*l - 74. Factor y(j).
-4*(j + 20)*(j + 58)
Let m be 7/14 + (934/(-4))/(-1). Determine w so that 235*w**2 + 3*w**4 - 4*w**4 - m*w**2 = 0.
-1, 0, 1
Let s(k) be the first derivative of -21*k + 5*k**2 - 151 - 1/3*k**3. Factor s(j).
-(j - 7)*(j - 3)
Let c = -159 + 367. Let y = c + -204. Factor -1/3 - 2*b**2 - 4/3*b - 1/3*b**y - 4/3*b**3.
-(b + 1)**4/3
Let q(s) = -66*s**2 + 93*s + 252. Let x(r) = 15*r**2 - 23*r - 62. Let d(z) = -2*q(z) - 9*x(z). Solve d(f) = 0.
-2, 9
Factor -216 - 41/6*i**3 - 1/6*i**4 - 294*i - 254/3*i**2.
-(i + 1)*(i + 4)*(i + 18)**2/6
Let j(v) be the third derivative of -25*v**8/168 + 39*v**7/14 - 29*v**6/4 - 1043*v**5/12 - 245*v**4/4 + 486*v**2 + v. Suppose j(b) = 0. Calculate b.
-2, -3/10, 0, 7
Let s = 51 - 29. Let v = s + -16. Factor 2*y**2 - 40 + 18 + 8 + v + 6*y.
2*(y - 1)*(y + 4)
Suppose w - 5 = -5*r, -14*r + 4 = -17*r - 2*w. Let v(b) be the third derivative of 0 + 0*b + 13*b**2 - r*b**3 - 1/20*b**5 + 1/2*b**4. Factor v(h).
-3*(h - 2)**2
Let -2/23*w**2 + 840/23 + 202/23*w = 0. Calculate w.
-4, 105
Let z = 2/26681 + -31323500/80043. Let y = 392 + z. Factor -4/3*q**2 + y*q + 2/3*q**3 + 0.
2*q*(q - 1)**2/3
Factor 2/5*g**2 + 408/5 - 208/5*g.
2*(g - 102)*(g - 2)/5
Let s = -2526 + 4475. Let k = 5848/3 - s. Factor j + 0 - k*j**2.
-j*(j - 3)/3
Factor -44*s**2 - 9*s**2 + 4*s**3 - 90*s**2 + 765*s - 7*s**2 + 5780 + s**3.
5*(s - 17)**2*(s + 4)
Let h(d) = -46*d - 594. Let g(k) = -93*k - 1184. Let a(n) = 3*g(n) - 7*h(n). Let f be a(-14). Factor 0*q + 2/7*q**f + 2/7*q**5 - 2/7*q**3 + 0 - 2/7*q**2.
2*q**2*(q - 1)*(q + 1)**2/7
Factor 200/7*m**2 + 614/7*m - 2/7*m**3 + 412/7.
-2*(m - 103)*(m + 1)*(m + 2)/7
Suppose -4*i = -8*j + 4*j - 40, -j = 5*i - 20. Let v(w) = 3*w**2 + 14*w - 3. Let f be v(j). Solve -1/7*a + 0 - 1/7*a**f = 0 for a.
-1, 0
Factor 1/2*r**5 + 0 + 9/2*r**4 + 0*r + 15/2*r**3 + 7/2*r**2.
r**2*(r + 1)**2*(r + 7)/2
Let f(y) be the first derivative of -20*y**2 + 55 + 60*y + 5/3*y**3. Factor f(n).
5*(n - 6)*(n - 2)
Let i = -201 - -201. Suppose -350*d + 353*d - 6 = i. Find v, given that 2/3 - 2/3*v + 2/3*v**3 - 2/3*v**d = 0.
-1, 1
Let f be (-54)/(-70)*(1636/12 + -5). Let s = 518/5 - f. Factor -2/7*r**2 + s*r + 0.
-2*r*(r - 8)/7
Let r = -166 - -144. Let b(l) = -7*l**4 - 31*l**3 - 3*l**2 + 69*l - 107. Let k(m) = 2*m**4 + 8*m**3 + m**2 - 17*m + 27. Let n(p) = r*k(p) - 6*b(p). Factor n(i).
-2*(i - 3)*(i - 2)**2*(i + 2)
Suppose 141 - 135 = -6*j. Let b be -2 - (-2 + -2 + j). Find r, given that 23/2*r + 3 + 17/2*r**b + 31/2*r**2 + 3/2*r**4 = 0.
-3, -1, -2/3
Suppose -39 = -4*f + 13. Let q = f + -9. Let -x**2 - 7*x**5 - 18*x**q - 9*x**2 + 2*x**5 - 25*x**3 - 2*x**4 = 0. What is x?
-2, -1, 0
Let y = 5694 + -22713/4. Let f(n) be the first derivative of y*n**2 + 11 + 5*n**3 - 9/10*n**5 + 1/4*n**6 - 9/4*n**4 + 27/2*n. Factor f(c).
3*(c - 3)**2*(c + 1)**3/2
Let z be 2/18 + (-133)/63. Let o be z - (2 + 2 - 15). Factor -3*q**3 + o*q**2 + 4 - 11*q**2 + q**5 - 4.
q**2*(q - 2)*(q + 1)**2
Determine x so that 528*x + 84*x**2 - 52 + 3*x**4 - 228*x**2 - 332 + 339*x**3 - 342*x**3 = 0.
-8, 1, 4
Let c(v) be the first derivative of -v**3/3 + 31*v**2/2 + 410*v - 3795. Factor c(b).
-(b - 41)*(b + 10)
Let j(v) be the first derivative of -v**4/120 - 11*v**3/60 + 19*v - 40. Let b(z) be the first derivative of j(z). Let b(r) = 0. Calculate r.
-11, 0
Let u = 148784/301 - 21132/43. Find a such that -2/7*a**2 + u - 6/7*a = 0.
-5, 2
Let f(r) be the second derivative of r**5/20 - 4*r**4/3 - 22*r**3 - 8153*r. Find b such that f(b) = 0.
-6, 0, 22
Let x(u) = -2*u**2 + 687*u - 20493. Let r be x(33). Factor -3/2*s + r - 2*s**2.
-s*(4*s + 3)/2
Let 1/2*j**3 - 27/2*j**2 + 0 + 0*j = 0. What is j?
0, 27
Let k be 3 + (-87)/27 + (-472)/(-180). Let f be ((-8)/6)/(1 - 64/24). Factor -f*s**3 + 0*s + 16/5 - k*s**2.
-4*(s - 1)*(s + 2)**2/5
Let m be -4 + -6 + (6 - -9). Let r(t) be the third derivative of -1/105*t**m - 5/42*t**4 + 4/7*t**3 + 0*t + 0 - 7*t**2. Factor r(n).
-4*(n - 1)*(n + 6)/7
Let l be (53 - 52)*17/34. Solve 1 - 3/2*z**2 + l*z**3 - 1/2*z + 1/2*z**4 = 0.
-2, -1, 1
Suppose -47 = -24*g - 47. Suppose 9*x - 10*x = g. Determine u so that x - 1/2*u**2 - 2*u = 0.
-4, 0
Suppose -12 = 7*h - 54. Let f(z) = 5*z**2 + 4*z - 6. Let p(g) = 0*g + 4*g + 10*g**2 - 6*g**2 - 6. Let q(y) = h*p(y) - 4*f(y). Suppose q(w) = 0. Calculate w.
-3, 1
Let a(h) be the third derivative of -2/5*h**5 + 0 + h - 3/4*h**4 + 0*h**3 - 42*h**2 + 1/30*h**6 - 1/168*h**8 + 4/105*h**7. Suppose a(t) = 0. Calculate t.
-1, 0, 3
Let h = 8341/2177 + 8/311. Let -18/7 - h*a**2 - 87/7*a = 0. What is a?
-3, -2/9
Let u(q) = q**2 - 144*q - 1125. Let a be (1 - -6) + (-7 - (-15)/3). Let z(j) = -145*j - 1125. Let o(x) = a*u(x) - 6*z(x). Solve o(t) = 0 for t.
-15
Let r(n) be the first derivative of 2/15*n**6 + 0*n**3 + 9 - 6*n + 0*n**5 - 2/3*n**4 + 2*n**2. Let g(t) 