= 0. What is w?
1/3, 1
Suppose -21*k - 11*k - 28*k = -240. Let z(s) be the first derivative of 10*s - 5/2*s**2 + s**5 + 5/4*s**k - 5*s**3 + 19. Find g such that z(g) = 0.
-2, -1, 1
Suppose 5*i = -3*g + 90, 6*g = -2*i + 3*g + 36. Let y(v) = 33*v**2 + 9*v + 18. Let h(b) = 2*b**2 + 1. Let p(a) = i*h(a) - y(a). Factor p(l).
3*l*(l - 3)
Let s(x) be the first derivative of 2*x**3/3 - 47*x**2 + 180*x + 6258. Solve s(q) = 0 for q.
2, 45
Solve 34 - 415 + 80747*p - 79984*p - p**3 - 383*p**2 + 2*p**3 = 0.
1, 381
Let h(m) = -m**4 - 5*m**2 + m + 1. Let o(p) = 8*p**4 + 8*p**3 - 152*p**2 + 156*p - 4. Let b(l) = 4*h(l) + o(l). Factor b(v).
4*v*(v - 5)*(v - 1)*(v + 8)
Suppose 0 = 2*z - 2, -2 = 2*o - z + 3*z. Let y be 38/4 + -6 + o/4. Find i, given that -i**3 - 5*i - 6*i**3 - 10 + 15*i**2 - y*i**3 + 10*i**2 = 0.
-1/2, 1, 2
Let u(m) = m**3 - 32*m**2 - 25*m - 27. Let v be u(33). Factor 2 - 478*n**3 - 35*n - 17 - 25*n**2 + v*n**3 + 236*n**3.
-5*(n + 1)**2*(n + 3)
Let y(f) be the second derivative of 1/8*f**4 - 20*f + 0 + 0*f**3 + 15*f**2 - 1/60*f**5. Let j(l) be the first derivative of y(l). Factor j(p).
-p*(p - 3)
Let t = -442 + 444. Find f, given that -18*f - 4*f**2 + 3*f**4 - 12*f**t - 6*f**2 + f**2 = 0.
-2, -1, 0, 3
Suppose -2*u + 18 = -3*v + 3*u, -5*v + 1 = 2*u. Let p be 2 - (1 + -2 - v). Factor -3*l**2 + 14*l - l**p - 18*l.
-4*l*(l + 1)
Factor 28*x**3 - 59820*x**2 + 58 + 2392*x - 58 + 51440*x**2.
4*x*(x - 299)*(7*x - 2)
Let y = 29258/69 - 9722/23. Let -8/9 - 1/3*k**4 + 11/9*k**3 - 2/9*k**5 + 14/9*k**2 - y*k = 0. Calculate k.
-2, -1/2, 1, 2
Determine k so that -10*k**2 - 1/4*k**3 - 67*k - 96 = 0.
-32, -6, -2
Let z(y) be the first derivative of 2*y**6/3 + 4*y**5/5 - y**4 - 4*y**3/3 + 533. Determine f so that z(f) = 0.
-1, 0, 1
Let d = 4140 - 4136. Factor d*z - 2/5*z**3 + 0 - 18/5*z**2.
-2*z*(z - 1)*(z + 10)/5
Let t = -702 - -704. Factor 3*c**t - 7*c**2 - 7*c - 65*c - c**2 + c**2 - 324.
-4*(c + 9)**2
Let b(q) = -22439*q**2 - 3368*q - 119. Let w(g) = -201950*g**2 - 30315*g - 1070. Let t(f) = -55*b(f) + 6*w(f). Factor t(s).
5*(67*s + 5)**2
Let b(o) be the second derivative of o**8/1008 + o**7/630 - o**6/60 - o**5/45 + o**4/9 - 3*o**2 - 33*o. Let x(i) be the first derivative of b(i). Factor x(d).
d*(d - 2)*(d - 1)*(d + 2)**2/3
Let u(a) be the third derivative of 0*a + 0 + 7/12*a**3 + 1/24*a**5 + 13/48*a**4 - 1/240*a**6 - 22*a**2. Find k, given that u(k) = 0.
-1, 7
Let h(a) = a**3 - 9*a**2 + 2*a - 16. Let b = 1075 - 1066. Let z be h(b). Factor 4/5*l**3 + 0 - 8/5*l - 4/5*l**z.
4*l*(l - 2)*(l + 1)/5
Factor 150544/11*i + 1/11*i**3 + 0 + 776/11*i**2.
i*(i + 388)**2/11
Let r(f) be the third derivative of -f**8/588 - 4*f**7/735 + 585*f**2. What is t in r(t) = 0?
-2, 0
Let m(v) = v**3 - 47*v**2 + 34*v + 4314. Let g be m(44). Factor -20/3*w + 0 - 25/3*w**g - 5/3*w**3.
-5*w*(w + 1)*(w + 4)/3
Let w be (-1)/(-2)*32/16. Let u be 4*w/2*1. Factor -1/5*a**u - 4/5*a - 4/5.
-(a + 2)**2/5
Let d = 138 - 136. Let x(k) = -k**5 + k**4 - k. Let j(v) = 3*v**5 - 23*v**4 + 45*v**3 - 29*v**2 + 5*v. Let f(b) = d*j(b) - 2*x(b). Let f(u) = 0. What is u?
0, 1/2, 2, 3
Let i be (-13528)/712 - 1*(-18 + -1). Determine a, given that 0*a**2 - 1/2*a**3 + 0*a**4 + 1/4*a + 1/4*a**5 + i = 0.
-1, 0, 1
Suppose 472*d - 475*d = -6. Suppose -d*i - 2604 = -2610. Factor 0 - 3/5*u**i + 0*u + 1/5*u**4 + 2/5*u**2.
u**2*(u - 2)*(u - 1)/5
Let u(t) be the second derivative of t**6/720 - t**5/240 - t**4/24 + 34*t**3/3 + 6*t. Let j(d) be the second derivative of u(d). Solve j(h) = 0.
-1, 2
Suppose -2*l = -7*l + 5*d, -48*l + 3*d = -43*l - 4. Let -3/8*t**l - 3/2*t + 0 = 0. Calculate t.
-4, 0
Let y(i) be the first derivative of i**3/18 - 59*i**2/2 + 352*i/3 + 2169. Let y(p) = 0. Calculate p.
2, 352
Let z be -3 - (0 - 1)*81. Let p = -76 + z. Suppose -3*f**2 - 17*f + 52*f + 14 - 2*f**p - 64 = 0. What is f?
2, 5
Let m(l) be the first derivative of 150 - 1352*l + 650*l**2 + 1/8*l**4 + 103/6*l**3. Determine h, given that m(h) = 0.
-52, 1
Suppose -4*s = 2*r - 9*s - 963, -2*s = r - 477. Factor -2*b**2 - 439 - r - 68*b + 340.
-2*(b + 17)**2
Suppose 0 = 2*z + 5*u - 16, -107*z + 108*z + u - 5 = 0. Factor 0 - q**2 + 1/4*q**5 + 3/4*q**z - q + q**4.
q*(q - 1)*(q + 1)*(q + 2)**2/4
Let x(s) be the third derivative of 2*s + 7/15*s**5 + 118*s**2 - 1/30*s**6 + 4/3*s**4 + 0*s**3 + 0. Determine n, given that x(n) = 0.
-1, 0, 8
Suppose 4*h + 0*l = -5*l + 19, -h + 7 = -l. Let d be (-338)/(-130) + h/(-10). Let -c - 5*c - 27*c**3 + 28*c**3 + c**d = 0. Calculate c.
-3, 0, 2
Let h(u) be the third derivative of u**5/180 + 131*u**4/72 - 341*u**2 - 3. Find v such that h(v) = 0.
-131, 0
Let n(f) be the first derivative of f**6/2 - 19*f**5/5 + 15*f**4/4 + 9*f**3 - 5*f**2 - 359. Solve n(k) = 0 for k.
-1, 0, 1/3, 2, 5
Let p(c) be the second derivative of c**4/4 + 35*c**3 + 396*c**2 + 1042*c. Let p(a) = 0. Calculate a.
-66, -4
Let i(l) be the first derivative of l**6/150 + 3*l**5/100 + l**4/30 - 112*l - 162. Let v(d) be the first derivative of i(d). Find k such that v(k) = 0.
-2, -1, 0
Let f(r) be the second derivative of r**6/10 - 27*r**5/10 - 19*r**4/4 - 1638*r. Find g such that f(g) = 0.
-1, 0, 19
Let t(f) be the first derivative of -1/8*f**3 + 5 + 1/48*f**4 - 1/2*f**2 - 11*f. Let g(u) be the first derivative of t(u). Determine z, given that g(z) = 0.
-1, 4
Let f = -1542 - -1545. Let q(g) be the second derivative of -1/2*g**4 - 18*g + 0 - 1/10*g**5 - g**2 - g**f. Factor q(p).
-2*(p + 1)**3
Let w(j) be the first derivative of -29*j + 1/54*j**4 - 1/3*j**2 + 19 - 2/27*j**3. Let t(c) be the first derivative of w(c). Factor t(a).
2*(a - 3)*(a + 1)/9
Let a(z) be the second derivative of z**5/60 + 5*z**4/12 - z**3/18 - 5*z**2/2 + 894*z. Factor a(u).
(u - 1)*(u + 1)*(u + 15)/3
Let u be (33*26/1430 - (-18)/(-30))/(8/(-2)). Solve 858/7*z**3 - 440/7*z**2 - 540/7*z**4 + 50/7*z**5 + 72/7*z + u = 0.
0, 2/5, 1, 9
Factor 3042/5*i**3 + 98/5 + 4134/5*i**2 + 238*i.
2*(i + 1)*(39*i + 7)**2/5
Let p(s) be the second derivative of -3*s**5/20 - s**4 + 117*s**3/2 + 11*s - 11. Factor p(l).
-3*l*(l - 9)*(l + 13)
Solve 115*w + 1846304 - 5*w**2 - 1846659 + 245*w = 0.
1, 71
Let s = 55 - 52. Determine c, given that -3*c**2 - c**3 - 3*c**2 - 6*c**2 - 3*c**s = 0.
-3, 0
Let n(b) = -b**3 - 22*b**2 - b + 11. Let p be n(-22). Let q be (p/22)/(3/304). Factor -28*f**4 - 148*f**3 - q*f**2 + 0*f - 20*f + 2*f - 14*f.
-4*f*(f + 1)*(f + 4)*(7*f + 2)
Let t(f) be the third derivative of -f**8/112 + 3*f**7/35 - f**6/8 - f**5 + 9*f**4/2 - 8*f**3 - 3202*f**2. Find d, given that t(d) = 0.
-2, 1, 2, 4
Solve -6270*d - 30*d**3 + 43681/2 + 1/2*d**4 + 659*d**2 = 0 for d.
11, 19
Let h(m) be the second derivative of -m**5/170 - m**4/102 + 14*m**3/51 + 24*m**2/17 + 1506*m. Factor h(l).
-2*(l - 4)*(l + 2)*(l + 3)/17
Let m(v) be the third derivative of -1/7*v**7 - 2*v + 8*v**2 + 0 - 27/70*v**5 + 2/7*v**3 - 1/4*v**4 + 67/140*v**6. Suppose m(u) = 0. Calculate u.
-2/7, 1/5, 1
Let l(a) = -97*a - 220. Let z be l(-6). Let m = 366 - z. Let 12*r**2 - m*r**3 + 8 + 1/2*r**4 - 16*r = 0. What is r?
2
Let c(z) = z - 10. Suppose -s + 88 - 76 = 0. Let m be c(s). Find a such that -17*a**m + 24*a - 72 - 14*a**2 + 29*a**2 = 0.
6
Let l be 0/((9 - 16) + 10) - -2. Factor 48*u + 332/11*u**l + 2/11*u**4 + 48/11*u**3 + 22.
2*(u + 1)**2*(u + 11)**2/11
Let j(u) = -72*u + 938. Let f be j(13). Let d(n) be the third derivative of 1/32*n**4 - 9*n**f + 0*n + 0 + 1/80*n**5 + 0*n**3. Determine a, given that d(a) = 0.
-1, 0
Let i(a) = -16*a - 113. Let l be i(34). Let p = -655 - l. Determine r so that 2*r**3 + 0 + 1/6*r**4 + 0*r - 2/3*r**p - 1/2*r**5 = 0.
-2, 0, 1/3, 2
Let g be (276/90 - 3)/((-2)/5816). Let m = -956/5 - g. Suppose 2/9*u**3 - 16/9*u + m - 2/9*u**2 = 0. What is u?
-3, 2
Let b = 91857/4 - 22958. Let k be (-15)/(-8)*(-8)/(-6). Factor b - k*r + 1/4*r**2.
(r - 5)**2/4
Let u(v) be the second derivative of v**7/25200 + 13*v**6/7200 + v**5/100 - 17*v**4/6 + v**2 - 3*v + 15. Let p(f) be the third derivative of u(f). Factor p(x).
(x + 1)*(x + 12)/10
Let r = 668463/1100 + -672/275. Let m = r + -604. Factor -m*z + 1/2 - 3/4*z**2.
-(z + 2)*(3*z - 1)/4
Suppose -4*h - 190 = -21*t, -86*t + 89*t - 15 = 3*h. Let 1/3*c**4 + c**h - 1/3*c**2 + 0 - 5/3*c**3 + 2/3*c = 0. Calculate c.
-1, 0, 2/3, 1
Let l(d) be the first derivative of d**5/6 + 79*d**