ppose -6*n = -8 - 4. Let k be 85/8 - 2 - (14 + -6). Factor -1/8*b**n + 0 + k*b.
-b*(b - 5)/8
Let v(c) be the second derivative of -c**7/8820 + c**6/630 + 15*c**4/4 + 10*c + 2. Let y(i) be the third derivative of v(i). Factor y(t).
-2*t*(t - 4)/7
Suppose 4 = 19*b - 53. Let m be (12/18)/((-4)/(-18)). Factor -4*r**2 - r**4 + 5 - 341*r**3 - b*r - m*r + 347*r**3.
-(r - 5)*(r - 1)**2*(r + 1)
Let c(l) be the second derivative of -l**5/30 - l**4/3 + l**3 + 14*l**2/3 - 21*l. Let c(z) = 0. What is z?
-7, -1, 2
Factor 22 - 31/3*j - 34/3*j**2 - 1/3*j**3.
-(j - 1)*(j + 2)*(j + 33)/3
Let s be ((-3)/(-5) - 1)*-10. Let v = -2801 - -2810. Factor v*x**3 + 8 + 23*x**3 - 3*x**2 - 20*x + 16*x**s - 9*x**2.
4*(x + 1)*(x + 2)*(2*x - 1)**2
Suppose -111*i - 171 = -220 - 284. Let g = 109/44 + 1/44. Factor -19/2*z**2 - g + 3/2*z**i + 21/2*z.
(z - 5)*(z - 1)*(3*z - 1)/2
Let r = -3224 + 3226. Let b(i) be the second derivative of 1/210*i**6 + 3/70*i**5 + 19*i + 1/7*i**4 + 5/21*i**3 + 3/14*i**r + 0. What is z in b(z) = 0?
-3, -1
Let d = -59870 + 299352/5. What is t in -18/5 - 12/5*t + d*t**4 + 16/5*t**2 + 12/5*t**3 = 0?
-3, -1, 1
Let q(w) = 12*w**2 + 49*w + 33. Let t(j) = -j**2 - j - 3. Let p(z) = -3*q(z) - 33*t(z). Factor p(x).
-3*x*(x + 38)
Let x(i) be the third derivative of 1/12*i**6 + 11/12*i**5 + 2 - 30*i**3 - 5/2*i**4 - 135*i**2 - 1/42*i**7 + 0*i. Solve x(s) = 0.
-2, 3
Let r(y) = y**2 - y - 17. Suppose -4*b - b = d - 23, -4 = 2*d. Let c be r(b). Solve 81*u**2 - 53*u**2 - 9*u - 12*u**c + u = 0.
0, 1/3, 2
Suppose 100*p + 20 + 43 = 121*p. Let n be (-4)/6*3/(-5). Factor 0*t**2 - 1/5*t**4 + 2/5*t**p - n*t + 1/5.
-(t - 1)**3*(t + 1)/5
Let v be (-26226)/(-56)*(-5)/90*-63. Let b = -1639 + v. Factor -1/8 + 1/8*l**3 - b*l + 1/8*l**2.
(l - 1)*(l + 1)**2/8
Let n be (-2)/5 - (143/55 - (-8)/(-2)). Let c(p) be the first derivative of -4/9*p**3 + 0*p**2 + n + 0*p. Factor c(o).
-4*o**2/3
Suppose 16/3*h**4 - 75 + 1/6*h**5 + 161/3*h**2 - 31/2*h + 94/3*h**3 = 0. What is h?
-25, -3, -2, 1
Factor -1628*c**4 - 1639*c**4 + 4*c**3 + 3266*c**4 + c**2 - 4*c.
-c*(c - 4)*(c - 1)*(c + 1)
Let u(h) = 6*h - 1. Let m be u(1). Suppose 1415 + 790 + m*l**2 - 121*l - 116*l + 27*l = 0. What is l?
21
Let y(h) = -5*h**5 + 15*h**4 + 110*h**3 - 190*h**2 + 105*h - 65. Let u(z) = -z**4 + z + 1. Let b = 12 - 13. Let v(i) = b*y(i) - 30*u(i). Factor v(p).
5*(p - 1)**4*(p + 7)
Let s(h) be the first derivative of -142 + 0*h + 1/12*h**3 + 17/8*h**2. Factor s(a).
a*(a + 17)/4
Let a(d) = -12*d + 14. Let q be a(4). Let h = q + 37. Solve 40 - 56*s**3 - 97*s + 170*s**2 + 317*s + 105*s**4 - 299*s**h = 0.
-1/3, -2/7, 2
Let i(t) = -5*t**2 - t + 1. Let p(d) = -57*d**2 - 1473*d + 1470. Let a(s) = -12*i(s) + p(s). Factor a(w).
3*(w - 486)*(w - 1)
Let l be -3 - (-15 - (-2147)/152)*(256/28 - 2). Solve l*b**3 + 28*b + 1/4*b**4 + 15*b**2 + 16 = 0.
-4, -1
Let s be (7/(-14))/((-3)/54). Suppose -s = -140*b + 137*b. Solve -2/9*j**2 + 0*j + 1/3*j**b - 1/9*j**4 + 0 = 0 for j.
0, 1, 2
Let c(n) = n**3 + 4*n**2 - n + 4. Let q be c(-3). Let w be (-48)/q*10/(-6). Determine z so that 10*z**4 + 5*z**w - 6*z**4 - 5*z**5 + 2*z**3 + 2*z**5 = 0.
-1, 0
Let j be 54*(-61)/((-178425)/130). Solve -2/5*g**3 - j - 26/5*g - 16/5*g**2 = 0 for g.
-6, -1
Let p(l) = 3*l**2 + l - 25. Let d(r) = 5*r**2 + 203*r - 50. Let j(g) = d(g) - 2*p(g). Solve j(t) = 0.
0, 201
Solve 266497 - p**2 + 378*p - 82*p - 3*p**2 - 266197 = 0.
-1, 75
Let f(j) = -j**3 - 24*j**2 + j + 26. Let r be f(-24). Find x, given that -7*x - 2 + 6 + x**3 + 6 + 422*x**2 - 426*x**r = 0.
-2, 1, 5
Suppose 12*m + 2*m = 98. Let q be (-16)/(-4) - (2 - 1). Factor 2*u + 0*u**2 + 3*u**2 + m*u**2 - q*u**2.
u*(7*u + 2)
Let l(p) be the second derivative of 8/3*p**3 + 0 + 147*p - 1/5*p**5 + 4/3*p**4 - 32*p**2. Factor l(d).
-4*(d - 4)*(d - 2)*(d + 2)
Let j = 4638 - 4634. Let b(k) be the first derivative of 0*k**2 - 1/16*k**j + 0*k - 1/12*k**3 + 1/10*k**5 + 10. Factor b(z).
z**2*(z - 1)*(2*z + 1)/4
Let z = 3/8912 + -7441529/26736. Let k = -277 - z. Factor 3*h**3 + k*h**5 - 4*h**4 + 0 - 2/3*h**2 + 0*h.
h**2*(h - 2)*(2*h - 1)**2/3
Let n(c) be the third derivative of -c**7/70 - 3*c**6/10 + 7*c**5/5 + 96*c**4 + 1152*c**3 - 7*c**2 - c - 67. Factor n(m).
-3*(m - 8)*(m + 6)**2*(m + 8)
Let x(f) = -f**3 - 40*f**2 - 3*f - 115. Let r be x(-40). Factor 128*i - 118*i**2 + 5*i**r + 52*i + 305*i**3 - 70*i**4 - 452*i**2 + 150*i**2.
5*i*(i - 6)**2*(i - 1)**2
Let s(y) = 16*y + 387. Let f be s(-24). Suppose 154 - 228*g - 2*g**3 + 34*g**2 - 17 + 6*g**f + 74*g**2 - 21 = 0. What is g?
-29, 1
Let b(f) be the third derivative of -f**6/60 - 173*f**5/10 - 5590*f**4 + 67600*f**3/3 - f**2 - 2*f - 55. Solve b(n) = 0.
-260, 1
Let i(x) be the third derivative of x**5/480 - 67*x**4/24 + 535*x**3/48 - 251*x**2 - 2. Factor i(s).
(s - 535)*(s - 1)/8
Let d(x) = -6*x**2 - 57*x + 34. Let y be d(-10). Let f(m) be the first derivative of 6*m**3 + 24*m + 18*m**2 + 15 + 3/4*m**y. Determine c so that f(c) = 0.
-2
Let h(i) be the third derivative of 0*i + 27/20*i**4 + 15*i**2 + 1/105*i**7 + 43/300*i**6 + 39/50*i**5 - 18/5*i**3 + 0. Factor h(f).
2*(f + 3)**3*(5*f - 2)/5
Let x(o) be the second derivative of -29*o**6/120 - 57*o**5/40 + o**4/6 + 1298*o. Find p, given that x(p) = 0.
-4, 0, 2/29
Let a(o) be the second derivative of -o**6/90 + 127*o**5/60 + 103*o**4/4 + 1469*o**3/18 + 335*o**2/3 - 1818*o. Solve a(c) = 0.
-5, -1, 134
Suppose -5*g - 13 + 8 = 0. Let n(l) = -l + 1. Let r be n(g). Let r*b**2 + b**2 + b + 5*b**2 - 7*b**2 = 0. What is b?
-1, 0
Factor -196395 - 3*x**2 + 92234 + 667*x - 164042 - 2461*x.
-3*(x + 299)**2
Solve 1062 + 11*z + 39 - 136*z - 20*z**2 - 56 = 0.
-11, 19/4
Let j(s) be the second derivative of s**6/3 + 13*s**5/4 - 3725*s**4/12 + 7365*s**3/2 - 10125*s**2/2 + s + 2696. Let j(x) = 0. Calculate x.
-25, 1/2, 9
Let u be 3 - (-4 - -11)*-1. Let p = u - 1. Determine c, given that -6*c - 6*c**3 - 2*c - p*c**2 + 4*c**4 + 2*c**5 - 7*c**2 = 0.
-2, -1, 0, 2
Solve -95052/13*z**2 - 125484482/13 + 712/13*z**3 - 2/13*z**4 + 5639752/13*z = 0.
89
Let f(t) = t**2 - 5*t + 2. Let l be f(5). Let h be (-4)/8*(-1155)/84*40/220. Factor 245/4 + h*d**l - 35/2*d.
5*(d - 7)**2/4
Let h(a) = -a**3 - 25*a**2 + 48*a - 166. Let v be h(-27). Let z be 3*v/30 - 448/(-770). Find x, given that -72/11*x + 0 - z*x**4 - 96/11*x**2 - 26/11*x**3 = 0.
-6, -1, 0
Let j = 2828 + -2822. Let x(t) be the third derivative of 0 + 11*t**2 + 1/240*t**j + 1/60*t**5 + 0*t**3 + 0*t + 0*t**4. Suppose x(s) = 0. Calculate s.
-2, 0
Let r(j) = -3*j - 2. Let f be r(-2). What is u in 278*u - f*u**2 + u**4 + 3*u**4 - 4*u**3 - 274*u = 0?
-1, 0, 1
Let h(s) be the third derivative of s**6/450 + 3*s**5/50 - 13*s**3 - 78*s**2. Let z(k) be the first derivative of h(k). Solve z(a) = 0 for a.
-9, 0
Let m = 11422 - 11419. Let q(h) be the second derivative of -4*h**2 - 25/24*h**4 - 14/3*h**m - 3/40*h**5 + 0 - 16*h. Factor q(j).
-(j + 4)**2*(3*j + 1)/2
Let j = -11555227/35 - -330199. Let g = j - 342/7. Factor 6/5 + g*k + 2/15*k**2.
2*(k + 3)**2/15
Let h(o) be the third derivative of o**5/140 + 145*o**4/56 + 143*o**3/7 + 1152*o**2 - 1. Factor h(n).
3*(n + 2)*(n + 143)/7
Let p(d) be the second derivative of -5*d**4/24 + 36*d**3 - 43*d**2 + 525*d. Determine n, given that p(n) = 0.
2/5, 86
Let p(x) be the second derivative of -x**7/105 - 7*x**6/25 - 39*x**5/50 - 19*x**4/30 - 639*x. Determine q, given that p(q) = 0.
-19, -1, 0
Let h = 9085 - 9080. Let x(g) be the second derivative of h*g**2 + 0 + 5/6*g**3 - 24*g - 5/12*g**4. Determine k, given that x(k) = 0.
-1, 2
Let h(y) be the third derivative of 1/6*y**6 + 0 - 2/3*y**4 - 46*y**2 - 2/105*y**7 + 0*y - 2/5*y**5 + 16/3*y**3. Factor h(k).
-4*(k - 2)**3*(k + 1)
Factor 62/3*x + 188/9 - 2/9*x**2.
-2*(x - 94)*(x + 1)/9
Let d(k) = 2*k**2 + 79*k + 14. Let u(s) = -44*s**2 + 29*s**2 + 20*s**2 + 43 + 237*s. Let j(y) = -17*d(y) + 6*u(y). Suppose j(t) = 0. What is t?
-1/4, 20
Let g = -640941 - -4486591/7. Find t such that -2/7*t**3 + 1/7*t - 4/7 - g*t**4 + 8/7*t**2 + 1/7*t**5 = 0.
-1, 1, 4
Let s(c) be the second derivative of 3*c**5/20 + 35*c**4/3 - 254*c**3/3 - 200*c**2 + 3567*c. What is u in s(u) = 0?
-50, -2/3, 4
Let p(k) = 25*k - 341. Let l be p(24). Let s be 62/63 - 111/l. Let s*c - 1/9 + 1/3*c**4 + c**5 - 14/9*c**3 - 2/9*c**2 = 0. What is c?
-1, 1/3, 1
Suppose 288/7*y