*w = 0. Calculate w.
-11, 0, 2/5
Let w(x) be the third derivative of 0*x**3 + 0 - 11/108*x**4 - 1/270*x**5 + 0*x + 168*x**2. Factor w(p).
-2*p*(p + 11)/9
Factor -425 - 427*z**2 + 851*z + 339*z**3 - 683*z**3 + 345*z**3.
(z - 425)*(z - 1)**2
Suppose -8 + 13 = -5*w, -2*x = 2*w + 8. Let a be (-8)/(-3) - 0 - 1/x. Factor -9/2*f + a + 0*f**2 + 3/2*f**3.
3*(f - 1)**2*(f + 2)/2
Let r(t) = -6*t - 21. Let s be r(-9). Suppose 5*i + s = 148. Determine q, given that 2*q**3 - 17*q**2 + i*q**3 - 47*q**2 + 45*q + 4*q**2 - 10 = 0.
2/5, 1
Let n(s) = -10*s**5 + 125*s**4 - 370*s**3 + 380*s**2 - 105*s. Let w(t) = t**5 + 2*t**4 - t**3 - 3*t**2 - 3*t. Let z(c) = -n(c) - 5*w(c). Factor z(h).
5*h*(h - 24)*(h - 1)**3
Let 1/5*j**2 - 2238/5*j + 1252161/5 = 0. Calculate j.
1119
Let i(u) = -u**2 - 44*u + 1120. Let g be i(-62). Suppose -5*t = 4*q - 78, -2*q - 4*t + 33 = -3. Factor q - g*c + 2/11*c**2.
2*(c - 11)**2/11
Let b(l) be the third derivative of -l**6/300 + 53*l**5/75 + 18*l**4/5 + l**2 + 472. What is i in b(i) = 0?
-2, 0, 108
Let d(b) be the first derivative of b**4/20 + 191*b**3/15 + 19*b**2 + 4070. Factor d(w).
w*(w + 1)*(w + 190)/5
Suppose 2041*b = 2039*b + 4*l + 32, 4*b - 240 = 30*l. Find n, given that b - 8*n**2 + 6*n + 8/3*n**3 = 0.
0, 3/2
Let o(u) be the second derivative of u**7/147 - 4*u**6/21 + 53*u**5/70 + 229*u**4/21 + 32*u**3 + 288*u**2/7 - 37*u + 119. Determine r, given that o(r) = 0.
-2, -1, 12
Let z(u) be the third derivative of -u**7/420 - u**6/80 + 7*u**5/60 + u**4/4 - 10*u**3/3 - 121*u**2 - 1. Factor z(p).
-(p - 2)**2*(p + 2)*(p + 5)/2
Let f be (-168)/(-84) - 1*-8. Let c be (-407)/(-370) - (-4)/f. Factor b - 1/2*b**2 + c.
-(b - 3)*(b + 1)/2
Let q be ((-180)/20 + 11)*(-1)/(-2). Let b be 96/40 - (-5 - q - -3). What is i in 12/5*i**2 + b*i + 6/5 = 0?
-2, -1/4
Let s be (-740)/2072*96/(-10). Factor 3/7*j**5 + 87/7*j**3 + 27/7*j**4 + 90/7*j + 129/7*j**2 + s.
3*(j + 1)**3*(j + 2)*(j + 4)/7
Let i(l) be the third derivative of l**6/24 - 37*l**5/6 + 300*l**4 - 2160*l**3 - 323*l**2. Let i(y) = 0. What is y?
2, 36
Let y be (-10170)/8475*(14/(-4) + 1). Let v(j) be the first derivative of -4/27*j**y + 0*j + 1/9*j**4 + 0*j**2 + 14. Factor v(i).
4*i**2*(i - 1)/9
Let t(h) be the second derivative of -59*h**4/24 + 185*h**3/12 - 6*h**2 + 670*h - 2. Factor t(v).
-(v - 3)*(59*v - 8)/2
Let g(t) = -2*t**3 - 8*t**2 - 14*t + 24. Let d(h) be the second derivative of h**4/12 - h**3/6 - 5*h - 3. Let w(s) = -6*d(s) + g(s). Factor w(b).
-2*(b - 1)*(b + 2)*(b + 6)
Let w(y) = y**2 + 67*y + 852. Let m be w(-17). Let h(r) be the second derivative of -7/2*r**4 + 1/10*r**5 - 343*r**m + 3*r + 0 + 49*r**3. Factor h(g).
2*(g - 7)**3
Let w(a) be the first derivative of -3*a**5/4 + 5*a**4/12 + 20*a**3/3 + 10*a**2 + 156*a - 6. Let l(o) be the first derivative of w(o). Let l(y) = 0. What is y?
-1, -2/3, 2
Let d(u) be the first derivative of -76/7*u**2 - 65/14*u**4 - 176/7*u - 90 + 332/21*u**3 + 12/35*u**5. Solve d(y) = 0 for y.
-1/2, 2, 22/3
Let p(w) be the second derivative of 6/5*w**5 + 15/2*w**4 + 2 + 33/2*w**2 + 16*w**3 - 23*w - 1/10*w**6. Determine v, given that p(v) = 0.
-1, 11
Let q(j) be the second derivative of -9*j + 1/50*j**5 + 2/5*j**3 + 0 - 1/6*j**4 + 0*j**2. Let q(k) = 0. Calculate k.
0, 2, 3
Let f = -483 - -482. Let b(w) = -7*w**4 + 34*w**3 + 69*w**2 + 3. Let c(h) = -h**4 + 2*h**3 - h**2 + 1. Let r(t) = f*b(t) + 3*c(t). Solve r(x) = 0 for x.
-2, 0, 9
Let u(k) be the second derivative of k**7/336 - k**6/36 + k**5/16 + 8*k**3 + 2*k + 8. Let g(d) be the second derivative of u(d). Factor g(w).
5*w*(w - 3)*(w - 1)/2
Let t(i) = 2*i**2 + 17*i - 66. Let o be t(9). Suppose 248*u = o*u. Find q such that u*q + 0 + 2/7*q**3 + 12/7*q**2 = 0.
-6, 0
Let y(t) be the first derivative of -t**5 + 305*t**4/2 + 1235*t**3/3 + 310*t**2 - 356. Determine g so that y(g) = 0.
-1, 0, 124
Let t(s) = 7*s + 8 - 7 + 11 - s**3 - 6*s**2. Let a(n) = -2*n**3 - 13*n**2 + 14*n + 25. Let f(u) = 6*a(u) - 13*t(u). Let f(z) = 0. Calculate z.
-2, -1, 3
Suppose 6349 + 17*y**2 - 6349 + 197*y**2 + 140*y - 70*y**4 + 6*y**3 - 2*y**5 = 0. Calculate y.
-35, -1, 0, 2
Let c(w) be the second derivative of 1/30*w**5 - 5/9*w**3 + 5*w - 17 + w**2 + 1/18*w**4. Factor c(k).
2*(k - 1)**2*(k + 3)/3
Let p(k) be the second derivative of k**7/5460 - k**6/1170 - 11*k**3/2 - k**2/2 - k + 41. Let n(b) be the second derivative of p(b). Factor n(x).
2*x**2*(x - 2)/13
Suppose 2 + 8 = s. Suppose 0 = 5*y + s, -3*i - 3*y + 6 = 3. Factor 9*g - 18*g + 7*g**2 - 3 - i*g**3 - 16*g**2.
-3*(g + 1)**3
Let l(i) be the first derivative of 44 + 144/5*i - 21/25*i**5 + 256/5*i**3 - 354/5*i**2 - 183/20*i**4. Solve l(k) = 0.
-12, 2/7, 1, 2
Let b(x) be the second derivative of -x**5/4 - 25*x**4/2 - 215*x**3/2 - 250*x**2 - 4*x + 14. Let b(u) = 0. What is u?
-25, -4, -1
Let k = 3578/7 + -510. Let f = 3/7970 + 95619/55790. Factor -4/7*a**2 + f - k*a.
-4*(a - 1)*(a + 3)/7
Suppose -117/7*b**2 - 30/7 - 591/7*b = 0. Calculate b.
-5, -2/39
Let s be 4620/(-35) - (2 + -1). Let x = 137 + s. Factor -78*n**2 + 2*n**3 + 88*n**2 + 5*n + n - 2*n**x.
-2*n*(n - 3)*(n + 1)**2
Let n(o) be the second derivative of 0*o**2 + 4 - 1/225*o**6 + 1/50*o**5 + 1/45*o**3 - 1/30*o**4 + o. Determine c so that n(c) = 0.
0, 1
Let c = 34 + -15. Suppose 9 = -c*x + 22*x. Solve -2*o**x + 54*o**4 + 0*o**3 - 58*o**4 = 0.
-1/2, 0
Factor -1053/5*q + 1056/5 - 3/5*q**2.
-3*(q - 1)*(q + 352)/5
Let h = -218 - -201. Let y be (-1)/4*8/h. Suppose -y*w**2 + 4/17*w + 0 = 0. What is w?
0, 2
Let z(r) be the first derivative of 2*r**5/15 - 205*r**4/18 + 436*r**3/9 - 28*r**2 - 1040*r/9 + 10311. Determine u so that z(u) = 0.
-2/3, 2, 65
Suppose 127634*l - 124 = 127575*l - 6. What is w in -98/9*w - 2/9*w**3 - 28/9*w**l + 0 = 0?
-7, 0
Suppose 4*v - 5*v = -2*v, 3*v = n - v. Let y(w) be the first derivative of n*w - 32 - 3*w**5 - 6/7*w**3 - 93/28*w**4 + 0*w**2. Suppose y(l) = 0. Calculate l.
-3/5, -2/7, 0
Let t(p) = -6*p**2 + 10*p - 90. Let z be t(-16). Let k = z + 16090/9. Factor 4/9 + k*j + 16/9*j**3 + 8/3*j**2 + 4/9*j**4.
4*(j + 1)**4/9
Find z, given that 887*z**2 + 19697*z - 15837*z - 59*z**3 + 2080 + 598*z**2 - 231*z**3 + 5*z**4 = 0.
-1, 8, 52
Let k be -134*5/(-70) - (20 + -218)/(-22). Let 0 - k*j**3 + 0*j + 2/7*j**2 + 4/7*j**5 - 2/7*j**4 = 0. What is j?
-1, 0, 1/2, 1
Solve 45 + 16*v + 1/3*v**2 = 0.
-45, -3
Let x = 2654/4937415 + 31159136867/50643065655. Let t = x + -1/2367. Factor 0*j - t + 2/13*j**2.
2*(j - 2)*(j + 2)/13
Let f = -310758 + 1864559/6. Factor f*k - 13/3 + 1/6*k**2.
(k - 2)*(k + 13)/6
Suppose -2 = 4*y - 5*f, 0*y - 5*y = -2*f - 6. Factor 23 - 164*g - 16 - 52 - 59 - 12*g**y.
-4*(g + 13)*(3*g + 2)
Let b(t) be the third derivative of 5*t**6/12 + 227*t**5/3 - 1819*t**4/48 + 91*t**3/12 + 13*t**2 - 5*t + 1. Find u, given that b(u) = 0.
-91, 1/10
Let i(g) be the second derivative of -g**5/30 - 2*g**4/3 - 7*g**3/3 - 165*g**2/2 + 16*g. Let d(j) be the first derivative of i(j). Factor d(u).
-2*(u + 1)*(u + 7)
Let q(k) be the first derivative of -k**6/51 + 14*k**5/85 + 3*k**4/34 - 46*k**3/51 + 14*k**2/17 + 1121. Suppose q(c) = 0. Calculate c.
-2, 0, 1, 7
Let f(x) = -5*x**4 - 31*x**3 - 119*x**2 + 120*x + 7. Let g(z) = 3*z**4 + 16*z**3 + 61*z**2 - 60*z - 4. Let j(m) = -4*f(m) - 7*g(m). Suppose j(a) = 0. What is a?
-4, 0, 1, 15
Let z(g) = g**3 + 4*g**2 + 2*g + 3. Let a be z(0). Factor -a*x**5 + 26 + 117*x - 8*x**4 + 12*x**3 - 8*x**4 + 136*x**2 - x**5 + 70 + 91*x.
-4*(x - 3)*(x + 1)*(x + 2)**3
Let h(r) be the third derivative of -r**7/210 + 7*r**6/24 + 209*r**5/30 + 176*r**4/3 + 240*r**3 - 5*r**2 + 112*r + 3. Factor h(u).
-(u - 45)*(u + 2)*(u + 4)**2
Suppose -786*h + 833*h = 188. Let v(c) be the second derivative of 1/10*c**5 + 0*c**3 + 0 + 1/10*c**6 + 0*c**2 + 1/42*c**7 + 15*c + 0*c**h. Factor v(l).
l**3*(l + 1)*(l + 2)
Let m(t) = -t**2 - t - 3. Let p(r) be the second derivative of r**4 + 10*r**3 + 45*r**2/2 + 3*r - 14. Let d(h) = 15*m(h) + p(h). Suppose d(v) = 0. Calculate v.
0, 15
Let r(i) = 7*i**2 - 131*i - 48. Let a be r(24). Let s be ((a/(-250))/(-14))/((-6)/(-340)). Solve -s*u**2 - 4/5*u**5 - 32/5 - 4/5*u**3 + 4*u**4 + 88/5*u = 0.
-2, 1, 4
Let d(c) be the first derivative of -2*c**3/9 - 115*c**2/3 - 452*c/3 + 1851. Determine f, given that d(f) = 0.
-113, -2
Suppose 5*d + 9648 = d. Let v = d + 4829/2. Fact