1)*(m + 5)/5
Let g be 725 + -715 - (-1*1 - -11). Solve g - 2/9*v - 2/9*v**2 = 0.
-1, 0
Let c(n) be the second derivative of 2*n + 0*n**2 - 1/6*n**4 + 2/3*n**3 - 56. Determine o so that c(o) = 0.
0, 2
What is a in 78*a**3 + 20 + 80/3*a**2 - 206/3*a + 8/3*a**5 - 104/3*a**4 = 0?
-1, 1/2, 3, 10
Factor 4044 + 1519 + 13*v**3 + 3521 + 1600*v - 1660 + 52*v**2 - 17*v**3.
-4*(v - 29)*(v + 8)**2
Let n(g) = g**3 + 68*g**2 + 1088*g - 2420. Let m(f) = -6*f**3 - 408*f**2 - 6527*f + 14530. Let d(b) = -6*m(b) - 34*n(b). Factor d(t).
2*(t - 2)*(t + 35)**2
Suppose 5*m - 9*m = -4*g + 84, g + 89 = -4*m. Let w be (-70)/m + 20/(-110). Find a such that -18*a + 3*a**w - 3/2*a**4 + 33/2*a**2 - 54 = 0.
-2, 3
Let u = 3631/30 + -725/6. Let o(d) be the second derivative of -16*d + u*d**5 + 0*d**2 + 0 - 2/3*d**3 + 1/3*d**4 - 2/15*d**6. Factor o(w).
-4*w*(w - 1)**2*(w + 1)
Suppose 0 = 5*v - 3*v + 4*q - 18, -v + 2*q + 1 = 0. Suppose a - v*a = -164. Find p such that -a*p - 25*p**2 + 76*p + 3*p**3 - 15 + 2*p**3 = 0.
1, 3
Suppose -46*u + 39*u = -119. Factor 193 + 196 - 15*t + u*t**2 - 391.
(t - 1)*(17*t + 2)
Let h(l) = 5*l - 42. Let m = 1278 + -1269. Let f be h(m). Determine n so that 1 - 1/3*n**f - n**2 + 1/3*n = 0.
-3, -1, 1
Let f = 81671/3 + -27222. Let a(d) be the second derivative of -11*d + 0 + 5/4*d**4 - 1/6*d**6 + 0*d**5 + 0*d**2 - f*d**3. Let a(r) = 0. What is r?
-2, 0, 1
Let k be 1960/(-7840)*0/(-1). Factor 2*h**3 + 0 - 4/5*h**2 + k*h - 6/5*h**4.
-2*h**2*(h - 1)*(3*h - 2)/5
Suppose 5*u = 5*t + 90, 6*u + 123*t - 119*t = 168. Let w(d) be the second derivative of 0 - u*d + 10/3*d**3 - 1/6*d**4 - 25*d**2. Factor w(p).
-2*(p - 5)**2
Let g(z) be the second derivative of 2*z - 7/12*z**3 + 1/24*z**4 + 1/30*z**6 + 1 + 7/40*z**5 - 3/4*z**2. Solve g(d) = 0 for d.
-3, -1, -1/2, 1
Let h(s) be the second derivative of -s**6/60 + s**5/10 - s**4/12 - s**3/3 + 3*s**2/4 + 886*s. Solve h(u) = 0.
-1, 1, 3
Let x be (-42)/(-15) + 174/(-30) + 6. Factor -1 + g**x - 4 - 109*g - 3*g**2 + 100*g.
(g - 5)*(g + 1)**2
Let d(o) be the first derivative of -3*o**5/10 - 21*o**4/8 - 5*o**3 - 2173. Factor d(u).
-3*u**2*(u + 2)*(u + 5)/2
Let r = 7104 - 7104. Let u(t) be the third derivative of 5/336*t**8 + r*t**3 + 5/24*t**4 + 1/4*t**6 - 2/21*t**7 - 12*t**2 - 1/3*t**5 + 0*t + 0. Factor u(p).
5*p*(p - 1)**4
Solve 3/2*f**3 - 1/3*f**4 + 1/3*f**2 + 0 - 1/6*f**5 - 4/3*f = 0 for f.
-4, -1, 0, 1, 2
Suppose -10 = 2*i, 0*z + 2*z = 2*i + 18. Let j be ((-2)/10)/(2 + (-78)/36). Solve -6/5*f**3 - 3/5 + 3/5*f**z + j*f + 0*f**2 = 0.
-1, 1
Let s(m) be the second derivative of m**6/30 - m**5/15 - m**4/3 - 10*m**2 + 21*m. Let n(h) be the first derivative of s(h). Determine b so that n(b) = 0.
-1, 0, 2
Suppose 11*m + 20 = 42. Factor -9*y**2 + 4*y**3 + 17*y**m - y**2 - 3*y**2.
4*y**2*(y + 1)
Let k(m) be the second derivative of 4 - 1/6*m**4 - 1296*m**2 + 24*m**3 - 9*m. Let k(o) = 0. Calculate o.
36
Suppose -3*z = -2*s - 91, 4*s + z - 2*z + 157 = 0. Let n = -13 - s. Solve n*w**2 - 4*w**4 + 0*w**4 - 9*w**2 = 0.
-2, 0, 2
Let k(y) be the third derivative of -1/12*y**4 + 0*y + 0 + 1/30*y**5 + 0*y**3 - 1/105*y**7 + 1/60*y**6 - 70*y**2. Factor k(i).
-2*i*(i - 1)**2*(i + 1)
Suppose -2754*z + 7239 = 1731. Let j = 378 - 4152/11. Find r, given that -4/11 - 2/11*r**z + 14/11*r**3 - 14/11*r + j*r**4 = 0.
-2, -1, -1/3, 1
Let z be (28/8)/(9/36). Let a(r) = -r**5 + 4*r**4 + 5*r**3 + 3*r. Let l(b) = 6*b**5 - 20*b**4 - 26*b**3 - 14*b. Let k(q) = z*a(q) + 3*l(q). Factor k(s).
4*s**3*(s - 2)*(s + 1)
Let p(v) be the third derivative of v**6/90 + 179*v**5/180 - 2*v**4/3 - 15*v**3/2 + 937*v**2. Factor p(q).
(q - 1)*(q + 45)*(4*q + 3)/3
Let r = -112 - -125. Factor -i**2 - 6*i + r*i**3 - 14*i**3 + 3*i - 3*i**2.
-i*(i + 1)*(i + 3)
Let b(r) = -r**3 + r**2 - 2*r + 1. Let m = 154 + -169. Let g(q) = -2*q**3 + 21*q**2 - 7*q - 15. Let o(l) = m*b(l) + 5*g(l). Determine k, given that o(k) = 0.
-18, -1, 1
Let d be 21 - ((-32864)/(-2288))/(8/11). Determine m, given that 9/4*m - 3/4*m**2 - 1/4*m**4 + 0 - d*m**3 = 0.
-3, 0, 1
Let m be -5 - (-377)/182 - 10/(-4) - (-251)/63. Let -m*s**5 + 112/9*s**4 - 38/3*s**3 + 0 + 38/9*s**2 - 4/9*s = 0. Calculate s.
0, 1/4, 1, 2
Let l(i) be the second derivative of -i**7/231 - 37*i**6/165 + 117*i**5/110 - 119*i**4/66 + 40*i**3/33 - 2543*i. Suppose l(r) = 0. Calculate r.
-40, 0, 1
Let v = 1982 + -1976. Suppose 4*q + 9 = 9*m - v*m, -q - 6 = -2*m. Factor 2/9*o**3 + 0*o + 2/3*o**2 + q.
2*o**2*(o + 3)/9
Let w(c) be the first derivative of -c**6/27 - 36*c**5/5 - 6877*c**4/18 - 1896*c**3 - 24964*c**2/9 + 1072. Suppose w(n) = 0. What is n?
-79, -2, 0
Suppose -8*z = 4*t - 4*z - 1108, 5*z = 2*t - 554. Factor j**3 - 304*j**2 - 529 + 206*j + t*j + 349*j**2.
(j - 1)*(j + 23)**2
Let t(v) be the first derivative of 0*v**3 + 0*v**2 + 1/42*v**4 + 1/35*v**5 + 1/105*v**6 + 23 + 17*v. Let i(w) be the first derivative of t(w). Factor i(s).
2*s**2*(s + 1)**2/7
Let s = -225090 - -225090. Factor -9/4*z**2 + 0 + s*z**3 - 3/2*z + 3/4*z**4.
3*z*(z - 2)*(z + 1)**2/4
Let c = -18336 + 18339. Let r(m) be the first derivative of 4/5*m**2 + 2*m**c - 20 - 8/5*m. Factor r(i).
2*(3*i + 2)*(5*i - 2)/5
Let n be ((-105)/28)/((-6)/(-24)). Let q be (n/20)/(15/(-40)*4). Let h**3 - h - 3/2 - q*h**4 + 2*h**2 = 0. What is h?
-1, 1, 3
Let y(r) be the first derivative of 2*r**5/35 - 9*r**4/14 + 2*r**3/21 + 81*r**2/7 + 20*r + 131. Suppose y(q) = 0. What is q?
-2, -1, 5, 7
Let w = 93268/3 + -30178. Let m = w + -910. What is t in m*t**2 - 2/9*t**4 + 16/3 + 2/3*t**3 - 56/9*t = 0?
-3, 2
Let m be (-75)/(-2)*(-64)/(-40). Suppose -48 = 6*w - m. Factor -206*v**3 + 4*v + 200*v**3 + w*v - 3*v**4 + 3.
-3*(v - 1)*(v + 1)**3
Let z = -125 - -325/2. Let s(m) be the second derivative of 0 - 15/4*m**4 - 375/2*m**2 + 8*m - 3/20*m**5 - z*m**3. Factor s(d).
-3*(d + 5)**3
Let o(p) be the second derivative of -p**6/60 + p**5/10 + 9*p**4/2 + 104*p**3/3 + 112*p**2 - 24*p. Find r such that o(r) = 0.
-4, -2, 14
Let k be ((-360)/(-480))/(7/(-4)) + 0 + 3. Determine g, given that 3 - k*g - 3/7*g**2 = 0.
-7, 1
Let x(g) be the second derivative of 1/5*g**4 + 1/5*g**2 - 1/25*g**5 + 1/3*g**3 - 7/75*g**6 - 1/35*g**7 + 0 + 108*g. What is h in x(h) = 0?
-1, -1/3, 1
Suppose 7*y + 0*y - 511 = 0. Factor -y + 50*m - 7 - 118*m**3 + 113*m**3 + 35*m**2.
-5*(m - 8)*(m - 1)*(m + 2)
Let p(g) = 2*g**5 + g**4 - 2*g**3 - g. Let u(x) = -7*x**5 + 38*x**4 - 634*x**3 + 4600*x**2 - 13997*x + 10000. Let d(b) = 3*p(b) + u(b). Factor d(v).
-(v - 10)**4*(v - 1)
Suppose 80 - 2/9*l**3 - 532/9*l - 62/3*l**2 = 0. Calculate l.
-90, -4, 1
Let t(s) be the second derivative of -s**6/150 - 18*s**5/25 - 108*s**4/5 - 3*s - 29. Factor t(k).
-k**2*(k + 36)**2/5
Let v = -282/41 + 1533/205. Let n(k) be the first derivative of 0*k - 9/5*k**2 + v*k**5 - 19/5*k**3 - 24 - 6/5*k**4. Find x, given that n(x) = 0.
-1, -2/5, 0, 3
Let z(t) be the first derivative of -t**5 - 45*t**4/4 - 40*t**3 - 50*t**2 - 1871. Factor z(x).
-5*x*(x + 2)**2*(x + 5)
Let n(v) be the third derivative of -v**8/840 - v**7/21 + 28*v**6/75 - 58*v**5/75 + 1004*v**2 + 1. Factor n(j).
-2*j**2*(j - 2)**2*(j + 29)/5
Solve 0 + 1/8*x**3 - 403/8*x + 201/4*x**2 = 0.
-403, 0, 1
Let x(i) be the second derivative of -i**5/12 + 15*i**4/8 + 25*i**3/3 + 15*i**2 + 12*i. Let p(b) be the first derivative of x(b). Solve p(y) = 0.
-1, 10
Let i(x) be the third derivative of -x**8/84 - 4*x**7/21 - 2*x**6/15 + 82*x**5/15 - 107*x**4/6 + 80*x**3/3 - 62*x**2 + 7*x. Factor i(h).
-4*(h - 1)**3*(h + 5)*(h + 8)
Let v = 2888/2925 - 32/325. Let h(n) be the second derivative of 0 - 21*n + 16/3*n**2 - v*n**3 + 1/18*n**4. Factor h(d).
2*(d - 4)**2/3
Let s be ((-260)/(-60))/((-11375)/(-1050)). Solve 0 + 8/5*p**2 - s*p**4 + 6/5*p**3 + 0*p = 0.
-1, 0, 4
Let g(f) be the third derivative of -f**6/420 + f**5/210 + 13*f**4/7 + 10*f**2 - 31. Factor g(l).
-2*l*(l - 13)*(l + 12)/7
Let h(p) be the first derivative of 3*p**4/20 + 7*p**3 - 228*p**2/5 + 468*p/5 + 1674. Factor h(v).
3*(v - 2)**2*(v + 39)/5
Let q(v) = -3*v**3 - 283*v**2 - 565*v - 281. Let a(o) = -30*o**3 - 2829*o**2 - 5652*o - 2811. Let m(n) = -2*a(n) + 21*q(n). Factor m(h).
-3*(h + 1)**2*(h + 93)
Let r = 14834605/3 - 4897999. Factor r*n - 2704*n**2 + 208/3*n**3 - 2/3*n**4 - 913952/3.
-2*(n - 26)**4/3
Let w be ((-184)/23)/(-48 - -28). Find i, given that w*i**4