**4/8 - 2*r**3 + 63*r**2/2 - 62*r. Let d(x) be the first derivative of y(x). Solve d(i) = 0.
-4, 1
Factor -8975 + 8965 - 367*d**3 - 1078*d**3 + 335*d - 2720*d**2.
-5*(d + 2)*(17*d - 1)**2
Let h(x) = -10*x**2 + 766*x - 768. Let s(b) = -132*b**2 + 9956*b - 9984. Let z(i) = 40*h(i) - 3*s(i). Solve z(o) = 0.
1, 192
Let a(k) be the first derivative of -4*k**5/5 - 131*k**4 + 4*k**3/3 + 262*k**2 - 471. Find h, given that a(h) = 0.
-131, -1, 0, 1
Let l(a) be the first derivative of -a**5/240 - a**4/3 - 123*a**2/2 + 87. Let n(z) be the second derivative of l(z). Find r such that n(r) = 0.
-32, 0
Suppose 26*k - 19*k - 1834 = 0. Factor -1291*c**5 + 630*c**3 + k*c**5 - 306*c**2 + 2189*c - 2165*c - 147*c**4 + 78*c**2.
-3*c*(c + 1)*(7*c - 2)**3
Let t(m) be the first derivative of -3*m**6 + 546*m**5/5 + 385*m**4 + 1436*m**3/3 + 263*m**2 + 66*m + 3225. Solve t(b) = 0.
-1, -1/3, 33
Let w(h) be the second derivative of -h**5/5 - 45*h**4 + 1112*h**3/3 + 124*h + 48. Factor w(u).
-4*u*(u - 4)*(u + 139)
Let x(z) be the third derivative of 41*z**5/110 + z**4/33 - 30*z**2 + 2*z. Determine q so that x(q) = 0.
-4/123, 0
Suppose -4*v + 4*w - 4 = 0, 761 = 4*v + 3*w + 737. Let d(x) be the first derivative of 9/5*x**5 - x + 3/2*x**4 - 24 - v*x**2 - 8/3*x**3. Factor d(t).
(t - 1)*(t + 1)*(3*t + 1)**2
Let p be 17 + 1 + 632432/(-35322). Factor 4/21*y + p + 2/21*y**2.
2*(y + 1)**2/21
Suppose -26 = 19*b - 14*b + 2*x, 2*b - 7 = 5*x. Let o be ((-70)/(-42))/((-10)/b). Factor 1/3*i**2 + 1/3*i - o.
(i - 1)*(i + 2)/3
Let f(x) be the first derivative of -x**6/12 + 67*x**5/10 + 17*x**4/2 - 227. Find g, given that f(g) = 0.
-1, 0, 68
Let d(x) = 13*x**2 - 2024*x + 3576. Let t(c) = -4*c**2 + 674*c - 1212. Let b(p) = -2*d(p) - 7*t(p). Find h such that b(h) = 0.
2, 333
Let p(c) be the second derivative of c**4/6 + 116*c**3/3 - 236*c**2 - 68*c - 14. Find r, given that p(r) = 0.
-118, 2
Determine l, given that -23/2*l**2 - 38*l - 26 + 1/2*l**3 = 0.
-2, -1, 26
Let q(z) = -2*z**2 - 3*z + 6. Let m be q(3). Let s = -18 - m. Solve 485*u**3 + 0 - 987*u**4 - 4 - 305*u**2 + 284*u**3 + 441*u**5 + 56*u + 30*u**s = 0 for u.
2/7, 1/3, 1
Let i(m) be the second derivative of -32*m**2 + 8/3*m**3 - 1/12*m**4 + 11*m + 0. Let i(x) = 0. What is x?
8
Let s(c) be the first derivative of c**4/2 - 212*c**3/3 + 2204*c**2 + 67280*c - 9216. Determine r so that s(r) = 0.
-10, 58
Let z(o) be the first derivative of 2*o**3/3 - 238*o**2 - 960*o - 132. Solve z(y) = 0.
-2, 240
Let g = -4463 + 31254/7. Let m = 1501/7 - 213. Factor -g*u - m - 5/7*u**3 + 4*u**2.
-(u - 5)*(u - 1)*(5*u + 2)/7
Let q(s) = -4*s**2 + 11*s - 2. Let c be q(3). Let o(b) = -2*b - 7. Let t be o(c). Factor 19*j**2 - 3*j + 2*j**4 + j - 21*j**2 + 2*j**t.
2*j*(j - 1)*(j + 1)**2
Let j(h) = -h**2 - 2*h + 27. Let l be j(4). Factor -11*m**3 + 4*m**4 - 48*m**2 + 3*m**3 + l*m**4 + 36*m + 4*m**5 + 9*m**4.
4*m*(m - 1)**2*(m + 3)**2
Let g(i) be the second derivative of -3*i**5/80 + 113*i**4/8 - 126*i - 1. Suppose g(z) = 0. Calculate z.
0, 226
Let a(z) be the third derivative of -z**6/90 - z**5/45 + 8*z**4/9 + 32*z**3/9 - 998*z**2. Factor a(u).
-4*(u - 4)*(u + 1)*(u + 4)/3
Let n(g) be the first derivative of -1/15*g**3 - 9/10*g**2 + 132 + 0*g. Factor n(q).
-q*(q + 9)/5
Let t = 1292 - 1290. Let g be (54/8)/(19/(-4) - -6). Factor g + 9/5*h**t + 27/5*h + 1/5*h**3.
(h + 3)**3/5
What is a in -17*a**5 - 68*a**4 + 14*a**5 + 3870*a - 1872 + 820*a**3 + 114*a - a**5 - 2860*a**2 = 0?
-26, 1, 2, 3
Suppose 3*j + 2 = 2*k + 2*k, 0 = 5*j + 4*k + 46. Let y(i) = i**2 + 7*i + 8. Let g be y(j). Factor -1176*x - 10*x**g - 13*x**3 - 9*x**3 + 1182*x - 6*x**4.
-2*x*(x + 1)*(x + 3)*(3*x - 1)
Let n(p) be the third derivative of 0 + 37/48*p**4 + 12*p - 1/80*p**5 - 3*p**2 - 2*p**3. Factor n(t).
-(t - 24)*(3*t - 2)/4
Let j(y) be the third derivative of 1/20*y**6 + 495/8*y**4 + 0 + 0*y + 64*y**2 - 123/40*y**5 - 675/4*y**3. Solve j(p) = 0.
3/4, 15
Factor 25*m + 1/2*m**2 + 141/2.
(m + 3)*(m + 47)/2
Suppose y = -4*c + 149, 0 = 118*c - 120*c + 4*y + 106. Solve -45 - 264*t**2 - 357/2*t - c*t**4 + 3/2*t**5 - 171*t**3 = 0 for t.
-1, 30
Let d be 9/12*(-4 - -5)*4. Factor -1095*x**2 + 2*x**d - x**3 + 1089*x**2 + 8*x.
x*(x - 4)*(x - 2)
Let p(s) be the third derivative of s**5/12 + 455*s**4/8 + 680*s**3/3 + 179*s**2 - 2*s - 2. What is k in p(k) = 0?
-272, -1
Let m be (1 + 1)*(117 - -9). Let f be 606/m + (-7)/(-42). Factor -10/7*o**2 + f*o + 4/7.
-2*(o - 2)*(5*o + 1)/7
Let c(u) be the second derivative of u**4/12 - 18*u**2 - 3*u + 3. Solve c(f) = 0 for f.
-6, 6
Let u be -7 + (-68810)/(-40) + (-6)/(-8). Let z = -11995/7 + u. Factor z*i**2 - 18/7*i + 27/7.
3*(i - 3)**2/7
Determine y so that 28*y**2 + 552/7*y + 4/7*y**3 + 0 = 0.
-46, -3, 0
Let h(i) = -41*i - 69*i**2 + 71*i**2 + 11*i + 2. Let c be h(15). Solve -16 - 2*k**3 + 13*k + 22*k + 0*k**c + 4*k**2 - 27*k = 0.
-2, 2
Let o(t) be the first derivative of 2*t**6/3 + 204*t**5/5 - 109*t**4 - 620*t**3/3 + 432*t**2 + 848*t + 6946. Determine j so that o(j) = 0.
-53, -1, 2
Let p(n) = 2*n**4 + n**2 + n. Let k(u) = -13*u**4 + 3*u**3 + 12*u**2 - 46*u. Let w(f) = -5*k(f) - 30*p(f). Factor w(c).
5*c*(c - 5)*(c - 2)*(c + 4)
Let b(c) be the second derivative of -c**7/35 - 33*c**6/50 - 291*c**5/100 - 77*c**4/20 + 3*c**3/2 + 39*c**2/5 + c - 85. Find r such that b(r) = 0.
-13, -2, -1, 1/2
Let o(w) be the third derivative of 9*w**3 - 10*w**2 + 7/20*w**6 + 0 + 0*w + 63/8*w**4 + 61/20*w**5. Solve o(v) = 0 for v.
-3, -6/7, -1/2
Suppose 14*y = 7 + 21. Factor -2*p**3 + 14*p**y + 1 + 10*p + 2 + 13 - 38*p.
-2*(p - 4)*(p - 2)*(p - 1)
Let s(h) = 14 - 11*h - 45*h + 67 + 33. Let j be s(2). Factor 6/7*p**4 - 24/7*p - 8/7 - 2/7*p**3 - 22/7*p**j + 2/7*p**5.
2*(p - 2)*(p + 1)**3*(p + 2)/7
Suppose 6*z - z - 10 = 0. Suppose 4*a = 12, -28 = -y - z*a - 4. Factor -11*w**2 + 5*w**2 + y*w + 15 + 9*w**2.
3*(w + 1)*(w + 5)
Let m = 6199 + -6196. Let n(f) be the second derivative of 5/12*f**4 + 1/2*f**5 + 9*f + 0*f**2 + 0 - 1/6*f**6 - 5/3*f**m. Suppose n(u) = 0. Calculate u.
-1, 0, 1, 2
Let o = 1067/7122 - -20/1187. Let l(k) be the first derivative of -1/9*k**6 - 8/15*k**5 - o*k**4 + 4/3*k**2 - 16/3*k + 20/9*k**3 + 14. Factor l(a).
-2*(a - 1)**2*(a + 2)**3/3
Let o(z) be the first derivative of -3*z**5/5 + 18507*z**4/4 - 12687576*z**3 + 13055509536*z**2 - 26072974848*z - 7107. Find s, given that o(s) = 0.
1, 2056
Let f be -6 - (4375/(-30))/7*(-9)/(-30). Factor -3/2*s**2 + 3*s - 2 + f*s**3.
(s - 2)**3/4
Suppose 0 = -55*h + 51*h + 168. Suppose -3*d + 4*l + 14 + h = 0, -3*d + 51 = -3*l. Factor 131*o**2 - d*o + 130*o**2 - 264*o**2.
-3*o*(o + 4)
Let h(u) be the third derivative of u**9/7560 + u**8/2240 + u**7/2520 + u**4/12 + 5*u**3 + 61*u**2. Let q(t) be the second derivative of h(t). Factor q(w).
w**2*(w + 1)*(2*w + 1)
Let y be ((-810)/180)/(54/(-6)). Let 3/4 - 1/4*q**2 + y*q = 0. What is q?
-1, 3
Factor -1/3*c**2 + 12 - 16/3*c.
-(c - 2)*(c + 18)/3
Let w(g) be the second derivative of g**4/12 + g**3/6 + g**2/2 + 24*g. Let j be w(-5). Solve -9*t**4 + 38*t**2 - 6*t**3 - j*t**2 - 18*t**2 - 4*t**5 = 0.
-1, -1/4, 0
Let t(s) be the third derivative of -1/230*s**5 + 0 + 9/23*s**3 + 1/1380*s**6 + 29*s**2 + 0*s - 3/92*s**4. Determine w so that t(w) = 0.
-3, 3
Let x(k) be the third derivative of k**6/600 - k**4/30 + 73*k**2 - 3*k - 2. Suppose x(z) = 0. What is z?
-2, 0, 2
Let u(c) be the third derivative of -c**5/240 + c**4/8 - c**2 - 4*c + 3. Find a such that u(a) = 0.
0, 12
Let b(y) be the third derivative of y**9/15120 - y**7/2100 + y**5/600 - 37*y**3/6 - 49*y**2. Let p(c) be the first derivative of b(c). Factor p(o).
o*(o - 1)**2*(o + 1)**2/5
Let m = 6507/12934 - 20/6467. What is j in -23*j - 529/2 - m*j**2 = 0?
-23
Factor 181/3*n - 1/3*n**2 - 880/3.
-(n - 176)*(n - 5)/3
Let t = 72537/4 + -18132. Find p, given that 51/8*p - t + 3/4*p**3 - 33/8*p**2 = 0.
1/2, 2, 3
Let s(a) = -10*a**3 - 69*a**2 - 161*a - 33. Let v(n) = 5*n**3 + 34*n**2 + 81*n + 18. Let g = -81 - -92. Let i(z) = g*v(z) + 6*s(z). Find q such that i(q) = 0.
-5, -3, 0
Let o(u) = 9*u**3 - 24*u**2 + 82*u + 145. Let z(q) = 4*q**3 - 14*q**2 + 42*q + 72. Let d(h) = -2*o(h) + 5*z(h). Find r, given that d(r) = 0.
-1, 5, 7
Suppose 240*l + l**2 + 316*l - 303*l = 0. Calculate l.
-253, 0
Suppose -9*p + 23 = 59. Let s be (-8)/(0 + p) + 0. Find r, given that -3