9*s - 2/9*s**r.
-2*(s - 3)*(s - 1)*(s + 1)/9
Let o be 3150/(-19425)*(-148)/6. Solve -155*q - 45*q**3 + 5/2*q**o - 150*q**2 - 105/2 = 0.
-1, 21
Let z(l) be the first derivative of -l**6/15 + l**5/5 + 10*l**4/3 + 8*l**3 - 207*l - 32. Let r(s) be the first derivative of z(s). Let r(g) = 0. Calculate g.
-2, 0, 6
Suppose 4*g + 290 = -2*p, 3*p = 6*p + 4*g + 427. Let c = p + 170. Suppose b + c*b**2 - 30 + 14*b - 27*b**3 + 12*b - 3*b**4 = 0. What is b?
-10, -1, 1
Suppose 11254 - 11297 = -4*n - 5*k, 0 = 3*n + k - 13. Let 2*q**3 - 16/3*q - 4*q**n + 2/3*q**4 + 0 = 0. Calculate q.
-4, -1, 0, 2
Let p(c) = -6*c**2 - 23*c - 5. Let b be p(-4). Let q be (-24)/b + 10/(-15). Determine t so that 4/5*t**4 + 0*t**3 + 2/5*t**5 + 0 - 4/5*t**q - 2/5*t = 0.
-1, 0, 1
Let i = 4/1859 - -22240/31603. Solve -16/17*q - i*q**3 - 24/17*q**2 - 2/17*q**4 + 0 = 0.
-2, 0
Let f(u) be the first derivative of 4*u**3/3 - 442*u**2 - 2262. Let f(a) = 0. Calculate a.
0, 221
Let j(q) be the first derivative of q**4/18 - 410*q**3/27 - 208*q**2/3 + 2954. Let j(g) = 0. Calculate g.
-3, 0, 208
Let t be 215/(-602)*1668/(-10). Let o = 1258/21 - t. Factor -o*l**3 - 1/3*l**5 + 0 + 2/3*l**4 + 0*l**2 + 0*l.
-l**3*(l - 1)**2/3
Let t(v) be the first derivative of -v**5/105 - v**4/28 - v**3/21 - 2*v**2 + 142. Let c(b) be the second derivative of t(b). Let c(j) = 0. What is j?
-1, -1/2
Let x(j) be the third derivative of j**7/2940 - j**5/105 + 43*j**3/3 - 11*j**2. Let p(w) be the first derivative of x(w). Factor p(l).
2*l*(l - 2)*(l + 2)/7
Let i(l) = -4*l**3 + 689*l**2 + 2645*l - 878. Let p be i(176). Let -124/5*j**3 + 26/5 - 42/5*j**4 - 16*j**p + 4/5*j**5 + 24/5*j = 0. What is j?
-1, 1/2, 13
Let i be 2/(-12) + (16 - (-165)/126 - 16). Suppose 2/7*r**5 + 0*r - i*r**2 + 0*r**3 + 0 + 6/7*r**4 = 0. Calculate r.
-2, 0, 1
Let m(o) = -25*o**2 + 41*o. Let b(q) = 11*q**2 - 5*q**2 - 233*q + 223*q. Let w = -20 + 11. Let a(s) = w*b(s) - 2*m(s). Factor a(h).
-4*h*(h - 2)
Let s be ((-4)/42)/((-90)/420)*-9*(-10)/12. Factor s*t**3 - 4/3*t**4 - 2/3*t + 2/3 - 2*t**2.
-2*(t - 1)**3*(2*t + 1)/3
Let q(w) = 3*w**2 - 10*w - 14. Let z be q(5). Let z*c + 10 - 14*c - 2*c + 4 - 8*c - c**2 = 0. What is c?
-14, 1
Let l(o) = 2*o**3 + o**2 + 1. Let f(b) = -7*b**3 - 46*b**2 - 225*b - 186. Let t(x) = -f(x) - 6*l(x). Factor t(p).
-5*(p - 12)*(p + 1)*(p + 3)
Let x(q) = 14*q - 54. Let h be x(4). Suppose -2*j**h - 16*j - 28*j + 32*j = 0. Calculate j.
-6, 0
Suppose -2*j - 4*p = -12, 24*j = 19*j + 4*p + 30. Suppose -j - s**3 - s**5 - 7*s + 10*s**5 - 11*s**3 - 2*s**2 + 20*s**2 + 10*s - 12*s**4 = 0. What is s?
-1, -2/3, 1
Let f(l) = l**3 + 30*l**2 - 235*l - 302. Let y(s) = -s**3 + 17*s**2 + 1. Let k(m) = f(m) + 2*y(m). Suppose k(h) = 0. Calculate h.
-1, 5, 60
Let w(t) be the second derivative of -1/40*t**5 + 10/3*t**3 + 67 + 7/24*t**4 - 2*t + 11*t**2. Factor w(i).
-(i - 11)*(i + 2)**2/2
Let p(i) = 2*i**2 - 69*i - 164. Let q be p(37). Factor 12666*s**2 + 15*s + 102*s - 36 - 12730*s**2 - q*s.
-4*(4*s - 3)**2
Suppose 5*c = -p + 174, 2*c - 52 = 19*p - 15*p. Factor j + 8*j**2 - c*j - 9*j**2 - 2*j**2.
-3*j*(j + 11)
Suppose -3*c + 15 = 3*t, t - 2 = -3*t + 5*c. Suppose 3*q - 32 = 4*z, 8*q - 25 = t*q + z. Suppose 95*m**2 + 21*m**2 - 18 + 2 - 100*m**q = 0. What is m?
-1, -2/5, 2/5, 1
Suppose 140*h + 16*h = 4992. Let y(c) be the first derivative of -c**3 - h + 0*c - 1/5*c**5 + 3/4*c**4 + 1/2*c**2. Factor y(j).
-j*(j - 1)**3
Let r(d) be the second derivative of -d**5/10 - 151*d**4/3 + d**3/3 + 302*d**2 + 3678*d. Let r(y) = 0. What is y?
-302, -1, 1
Let d = -580531 + 5224867/9. Factor 10/9*u**2 - 14/9*u**3 + d*u + 8/3.
-2*(u - 3)*(u + 2)*(7*u + 2)/9
Solve 55*i**5 + 513*i - 1375*i**2 - 320 + 1854*i**4 - 2125*i**3 - 4168*i**4 + 1557*i + 4009*i**4 = 0 for i.
-32, -1, 2/11, 1
Let g(d) be the first derivative of -d**3/7 + 34*d**2 - 316*d/7 + 1223. Factor g(c).
-(c - 158)*(3*c - 2)/7
What is m in -212*m**4 + 1004/3*m**3 - 160*m**2 - 16/3*m + 128/3*m**5 + 0 = 0?
-1/32, 0, 1, 2
What is g in 176/7*g**2 + 2/7*g**3 + 4346/7*g + 20172/7 = 0?
-41, -6
Let h be 0/32 + (173 - 0). Factor 33 + 2*p**4 + 116*p**2 - h*p + 39 - 36*p**3 + 17*p + 2*p**4.
4*(p - 3)**2*(p - 2)*(p - 1)
Let o = 17998 + -17996. Let c(p) be the second derivative of -28/15*p**4 - 2/3*p**6 + 0*p**o + 25/42*p**7 + p - 8/15*p**3 + 0 - 12/5*p**5. Factor c(l).
l*(l - 2)*(5*l + 2)**3/5
Let g(q) be the third derivative of -4/255*q**5 + 1/68*q**4 + 0*q**3 - 35 - 2*q**2 - 1/340*q**6 + 0*q. Factor g(c).
-2*c*(c + 3)*(3*c - 1)/17
Suppose -21 + 7 = -2*s. Suppose 0 = -12*x + s*x + 330. Factor 9*l**4 + 6722*l - 21*l**3 - x*l**3 - 6662*l - 36*l**2.
3*l*(l - 10)*(l + 1)*(3*l - 2)
Let m be (-107)/385 + 16/44. Let z(g) be the first derivative of 12/7*g**3 + m*g**5 - 8 + 9/14*g**4 + 9/7*g + 15/7*g**2. Solve z(w) = 0.
-3, -1
Let h(l) = -10*l**2 + 7*l + 10. Let s(w) = -3*w**2 + 2*w + 3. Suppose 213*x = 211*x + 14. Let q(g) = x*s(g) - 2*h(g). Suppose q(i) = 0. Calculate i.
-1, 1
Factor 0*y - 4*y**3 + 0*y**2 - 1/5*y**5 + 12/5*y**4 + 0.
-y**3*(y - 10)*(y - 2)/5
Solve -5*x - 19*x + 154 - 12*x + x**2 + 79*x - 14*x = 0.
-22, -7
Let l(u) be the first derivative of -1/10*u**4 - 145 + 2/75*u**5 - 1/15*u**2 + 2/15*u**3 + 0*u. Factor l(s).
2*s*(s - 1)**3/15
Let r = 336 + -332. Find s, given that -126*s**2 - 4*s**3 + 8*s**4 + 0*s**4 - 3*s**4 + 80 + s**r - 36*s = 0.
-4, -1, 2/3, 5
Suppose 3*b + q = -14 + 58, 3*q = -3*b + 36. Find o, given that o**2 - 5*o**2 + 11*o**3 - 12 + b*o**2 + o**2 - o**4 - 11*o = 0.
-1, 1, 12
Let z be -6*6*2/176*6 - -3. Determine q so that 4/11*q**2 - z + 2/11*q**4 - 8/11*q**3 + 8/11*q = 0.
-1, 1, 3
Let p(g) be the second derivative of -5*g**7/21 + 21*g**6/5 - 209*g**5/10 + 67*g**4/2 - 2*g**3/3 - 48*g**2 + 1178*g. Determine s so that p(s) = 0.
-2/5, 1, 3, 8
Let k(a) be the second derivative of -a**5/60 - 5*a**4/2 - 150*a**3 - 91*a**2 - 2*a + 90. Let b(f) be the first derivative of k(f). Find c, given that b(c) = 0.
-30
Factor -4478 - 525*f**2 + 3876751*f**3 - 220*f**2 - 3876753*f**3 + 8954*f - 3729*f**2.
-2*(f - 1)**2*(f + 2239)
Suppose 2346*y - 45 = 2351*y - 5*z, z = 12. Find k, given that 4*k**y - 4/7*k**5 - 624/7*k - 32/7*k**4 + 288/7 + 344/7*k**2 = 0.
-6, 1, 2
Let x(c) be the first derivative of -c**4/8 + 107*c**3/6 - 754*c**2 + 4056*c - 4388. Factor x(n).
-(n - 52)**2*(n - 3)/2
Suppose -3*r + 38 = 4*q, 47 = 5*q + 7*r - 3*r. Suppose -q - 27 = -19*c. Determine k so that -9/5*k**4 - 1/5*k**c + 6/5*k**3 + 0*k + 0 = 0.
0, 1/3
Let t(u) be the first derivative of -u**4/2 - 59*u**3 - 299*u**2 - 255*u - 3913. Solve t(f) = 0 for f.
-85, -3, -1/2
Suppose a = 24 - 22. Let -3*g**4 + 2*g**a + 43*g - 12*g**5 + g**2 - 45*g + 13*g**5 + g**3 = 0. What is g?
-1, 0, 1, 2
Let n(g) be the second derivative of 0 - 23/2*g**2 - 4/3*g**3 - 1/30*g**5 + 5/12*g**4 - 29*g. Let j(c) be the first derivative of n(c). Factor j(z).
-2*(z - 4)*(z - 1)
Let q(s) be the third derivative of -s**8/336 + s**6/15 + s**5/10 - 7*s**4/24 - s**3 - 1426*s**2. Solve q(g) = 0 for g.
-2, -1, 1, 3
Let g(l) be the first derivative of l**6/8 - 9*l**4/16 - l**3/2 + 7294. Find x such that g(x) = 0.
-1, 0, 2
Let r(n) be the third derivative of 0 + 0*n + 25/12*n**4 + 1/12*n**5 + 237*n**2 + 0*n**3. Factor r(i).
5*i*(i + 10)
Let l(y) = 23*y - 320. Let u = -713 - -727. Let z be l(u). Factor 10/21*t**z - 4/3 - 22/7*t.
2*(t - 7)*(5*t + 2)/21
Let s(n) be the first derivative of n**4/4 - 7*n**3/3 - 14*n**2 - 20*n + 1136. Factor s(k).
(k - 10)*(k + 1)*(k + 2)
Suppose -5*u + 23 - 68 = -3*x, -7*u = -5*x + 67. Factor 16/3 + x*k - 1/3*k**2.
-(k - 16)*(k + 1)/3
Let n = 109197/145756 - -30/36439. Factor -33/2*f - 363/4 - n*f**2.
-3*(f + 11)**2/4
Factor -8*c**3 - 8*c**3 - 9*c**3 - 84*c**2 - 156*c + 0*c**3 + 22*c**3.
-3*c*(c + 2)*(c + 26)
Determine h, given that 392*h - 4*h**3 + 60659 - 60659 - 274*h**2 + 86*h**2 = 0.
-49, 0, 2
Let p(t) be the first derivative of -3*t**5/5 - 81*t**4/4 - 51*t**3 - 75*t**2/2 + 10852. Factor p(w).
-3*w*(w + 1)**2*(w + 25)
Let h = -1782 + 3421. Let f = h - 1631. Factor -20/3*u + 4/3*u**2 + f.
4*(u - 3)*(u - 2)/3
Let c(l) = 8*l**2 - l - 2. Let y be (-6)/(-42)*7*(1 - -1). Let d be c(y). Factor -5*x + 19*x - d*x**2 + 4*x**3 + 10*x.
4*x*(x - 6)*(x - 1)
Let n(s) be the third derivative of -1/126*s**7 + 11*s**2 + 0*s**3 + 5/6*s**4 + 0*s + 4 + 7/72*s**