4*c**4 + 1/210*c**7 + 0 + 0*c - 58*c**2 + 1/20*c**5 - 2/3*c**3. Factor h(l).
(l - 4)*(l - 1)**2*(l + 1)
Let i(n) be the second derivative of -n**4/24 - 15*n**3/2 - 44*n**2 - 5257*n. Factor i(c).
-(c + 2)*(c + 88)/2
Let j be 148/38 + -1*18/(-171). Let k(b) be the first derivative of 18 - 10/3*b**3 - 5/4*b**j + 0*b**2 + 0*b. What is m in k(m) = 0?
-2, 0
Let -1/10 - 3/10*h + 3/10*h**3 + 1/5*h**4 - 1/10*h**2 = 0. Calculate h.
-1, -1/2, 1
Suppose -2675 - 12702 = -7237*b + 13571. Let n be (2/4)/(7/186). Let -45/7*w - 48/7*w**5 - 6/7 + n*w**3 + 72/7*w**b - 66/7*w**2 = 0. Calculate w.
-1, -1/4, 1, 2
Let c = -378 + 377. Let s(m) = 28*m**2 + 8*m + 24. Let t(k) = 2*k**2 - k. Let i(p) = c*s(p) + 12*t(p). Suppose i(n) = 0. What is n?
-3, -2
Let q = -15517 + 139895/9. Determine h so that q + 208/9*h**2 + 418/9*h + 32/9*h**3 = 0.
-11/4, -1
Solve 0*s + 0 + 1938/5*s**2 - 6/5*s**4 - 5812/5*s**3 = 0.
-969, 0, 1/3
Suppose 99*g = 104*g - 40. Let y be 3/(18/g) - (-28)/42. Factor -16/3 - 2/3*x**y + 6*x.
-2*(x - 8)*(x - 1)/3
Let r = -894 + 900. Suppose r*g + 15*g**2 - 12 - 48*g**2 + 12 - 24*g**2 = 0. What is g?
0, 2/19
Let r be 1/(-9) + 409/3681. Factor 3/7*a**3 + 24/7*a**2 + r + 45/7*a.
3*a*(a + 3)*(a + 5)/7
Let l(v) = 31*v**2 + 3*v. Let j be l(-1). Factor -7*w**3 + 30*w**4 + 5*w**3 - j*w**4 - 4*w**2 + 2*w + 2*w**2.
2*w*(w - 1)**2*(w + 1)
Let f be ((-1)/5)/((-1 + 1 + 215/1204)/(-5)). Find a, given that -f*a**3 + 0 + 0*a + 2*a**5 - 18/5*a**4 + 0*a**2 = 0.
-1, 0, 14/5
Let v(d) = -570*d + 97. Let b be v(-6). Find t such that -4*t**2 + b + 4947 - 368*t + 3*t**2 + 5*t**2 = 0.
46
Let h(y) be the third derivative of -37446*y**6/5 - 74576*y**5/5 + 947*y**4/6 - 2*y**3/3 - 6222*y**2. Factor h(c).
-4*(c + 1)*(474*c - 1)**2
What is n in 3010 + 3006 - 6016 - 270*n**4 + 279*n**3 + 546*n**2 - 3*n**5 = 0?
-91, -1, 0, 2
Let b(x) = x**3 + 3419*x**2 - 588228*x + 584820. Let u(w) = 3420*w**2 - 588230*w + 584820. Let q(v) = -5*b(v) + 6*u(v). Factor q(o).
-5*(o - 342)**2*(o - 1)
Let n = 1538 + -1547. Let o = 66/7 + n. Find m such that o*m**2 - 12/7*m + 12/7 = 0.
2
Let f(c) = 28*c**2 + 18*c + 19*c + 13*c**2 + 2*c + 2*c**3. Let s(t) = 10*t**3 + 206*t**2 + 196*t. Let p(a) = 14*f(a) - 3*s(a). Solve p(w) = 0.
-21, -1, 0
Suppose 2*r - 210 = -y, -y + 2*r = 4*y - 990. Let k be (60/y)/((-3)/(-8)). Solve -k*a**2 + 8/5*a**4 - 14/5*a**3 + 0 + 0*a = 0 for a.
-1/4, 0, 2
Let m be (-4)/14*(-7 - 525/(-85)). Suppose 0*s + 2/17*s**4 + 2/17 + 0*s**3 - m*s**2 = 0. Calculate s.
-1, 1
Let z(v) be the first derivative of 4*v**4/21 + 82*v**3/21 - 66*v**2/7 + 81*v - 13. Let w(k) be the first derivative of z(k). Factor w(b).
4*(b + 11)*(4*b - 3)/7
Let a = 82467/5 - 16491. Suppose -148/5*q**3 - a - 84/5*q**4 + 18/5*q**5 + 16/5*q**2 + 10*q = 0. Calculate q.
-1, 1/3, 6
Let w(c) = c**2 + 9*c - 21. Let m be w(-13). Factor m*o - 4*o**2 - 8 + 2*o - 40 - 5*o.
-4*(o - 4)*(o - 3)
Let y(a) be the third derivative of -a**6/240 + 5*a**5/24 - 37*a**4/12 + 17*a**3 - 654*a**2 + 6. Determine x, given that y(x) = 0.
2, 6, 17
Let m(f) = -f**3 - 7*f**2 - 9*f - 9. Let g be m(-6). Solve g*p**2 - 1764 - 168*p + 2*p**2 - 9*p**2 - 6*p**2 = 0.
-21
Let f(q) be the first derivative of -2*q**6/3 + 16*q**5/5 + 21*q**4 + 828. Determine r, given that f(r) = 0.
-3, 0, 7
Suppose 51 = 31*h + 113. Let f be (14 + 3128/(-224))/(h/(-7)). What is p in f*p**2 + 0 + 1/8*p = 0?
-1, 0
Let u = 1059/32942 + 8/1267. Let m(f) be the second derivative of 9*f + 3/130*f**5 + 0 + 1/39*f**3 + 0*f**2 + u*f**4 + 1/195*f**6. Find c such that m(c) = 0.
-1, 0
Suppose -5*v - 4831 = -4911, v + 29 = -r + 3*v. Solve 2*q**r - 2/9*q**4 + 8/3*q + 0 - 40/9*q**2 = 0.
0, 1, 2, 6
Let a(c) be the second derivative of c**7/126 + c**6/15 - 19*c**5/10 + 74*c**4/9 - 31*c**3/2 + 15*c**2 - 194*c. Factor a(t).
(t - 6)*(t - 1)**3*(t + 15)/3
Suppose -8*l + 532 = -508. Let z = l + -98. Factor -25*d**2 - 11*d**2 + 4*d**3 + z*d**2.
4*d**2*(d - 1)
Let y be (-2 + 14/4)/(98/(-16)*(-2132)/3731). Find v such that 6/7*v + y*v**3 + 0 - 9/7*v**2 = 0.
0, 1, 2
Let g(y) be the third derivative of -2*y**7/63 - 14*y**6/45 + 38*y**5/15 - 62*y**4/9 + 86*y**3/9 - 2189*y**2. Solve g(t) = 0 for t.
-43/5, 1
Let g(c) be the first derivative of 3/8*c**4 + 1/2*c**3 - 3/4*c**2 - 3/2*c - 31. Find q such that g(q) = 0.
-1, 1
Factor -10848/5*d - 10851/5 + 3/5*d**2.
3*(d - 3617)*(d + 1)/5
Suppose 5*d + 4*w + 4 - 19 = 0, 0 = -5*d - w + 15. Find j, given that 3*j**4 - 165*j**3 + 165*j**d - 3*j**2 = 0.
-1, 0, 1
Suppose -20 = 6*r - 11*r. Suppose 3*z - 5*f - 769 - 459 = 0, -r*z - 5*f = -1684. Solve 5*v**2 + 46*v + 106*v + z - 22*v + 429 = 0 for v.
-13
Determine l so that -4*l**3 - 2*l + 6*l - 9*l - 8*l**2 + l + 0*l**3 = 0.
-1, 0
What is q in -248 + 174*q**2 - 6*q**5 + 55*q**2 + 195*q**2 - 194*q**4 - 234*q**3 + 3472*q - 3232*q + 18*q**2 = 0?
-31, -2, -1, 2/3, 1
Let b = -1/6404 - 268937/198524. Let j = b - -325/217. Determine n, given that -j*n + 1/7*n**3 + 0*n**2 + 0 = 0.
-1, 0, 1
Let r(x) be the second derivative of -20*x + 5/6*x**2 + 1/72*x**4 - 7/36*x**3 + 2. Solve r(h) = 0.
2, 5
Let z(p) = 400*p**2 - 4345*p - 110. Let h(c) = -399*c**2 + 4343*c + 110. Let s(i) = -5*h(i) - 4*z(i). Suppose s(l) = 0. Calculate l.
-2/79, 11
Let a = 7 + 332. Determine w, given that -w**2 + 180*w + 174*w + 16 - a*w = 0.
-1, 16
Factor 4/3*v**2 - 76/3*v - 80/3.
4*(v - 20)*(v + 1)/3
Suppose 3*s - 5*s = s - 9. Let c(p) be the second derivative of -3/20*p**5 + 9*p**2 - 25*p - 1/2*p**4 + 0 + 5/2*p**s. Factor c(y).
-3*(y - 2)*(y + 1)*(y + 3)
Suppose -3*h + h + 144 = 0. Let j be (-2)/6 + (-6)/(h/(-28)). Factor 60*z**j - 46*z - z**3 - 134*z - 4*z**3.
-5*z*(z - 6)**2
Let n(o) = -5*o**2 + 3*o + 1. Let j(p) = 30*p**2 + 10*p + 15. Let l(k) = -j(k) - 5*n(k). Factor l(v).
-5*(v + 1)*(v + 4)
Suppose 0 = d - 85 + 646. Let s = d - -563. Factor -s*p - 4/7*p**2 + 2/7*p**3 - 8/7.
2*(p - 4)*(p + 1)**2/7
Let r(q) be the third derivative of -q**5/240 + 41*q**4/96 - 65*q**3/4 - q**2 - 264. Suppose r(l) = 0. What is l?
15, 26
Let p(m) = -10*m**3 - 7*m**2 - m. Let v = -97 - -92. Let x(c) = 12*c**3 + 8*c**2 + c. Let d(f) = v*p(f) - 4*x(f). Factor d(j).
j*(j + 1)*(2*j + 1)
Let j(o) = o**3 - o**2 + 5*o. Let p(y) = 16*y**3 + 52*y**2 + 224*y + 104. Let c(k) = 12*j(k) - p(k). Solve c(m) = 0 for m.
-13, -2, -1
Let h(i) be the second derivative of i**4/22 - 90*i**3/11 - 2037*i**2/11 - 5177*i. Factor h(a).
6*(a - 97)*(a + 7)/11
Let w = -211/4551 + 5606/22755. Factor 1/5*b - w*b**5 + 0 + 0*b**3 + 2/5*b**4 - 2/5*b**2.
-b*(b - 1)**3*(b + 1)/5
Let i(m) be the third derivative of 16*m**2 + 0*m + 35/18*m**3 + 1/36*m**4 + 0 - 1/180*m**5. Factor i(z).
-(z - 7)*(z + 5)/3
Let s = -10047/38 + 15365/57. Determine r so that 1/3*r**2 - s*r - 8/3 = 0.
-1/2, 16
Let v = 212 - 218. Let b(p) = 2*p**3 - 8*p**2 - 28*p - 18. Let m(s) = -6*s**3 + 24*s**2 + 83*s + 53. Let r(x) = v*m(x) - 17*b(x). Suppose r(y) = 0. What is y?
-1, 6
Factor -95379 + 191041 - 95310 - z**2 - 6*z.
-(z - 16)*(z + 22)
Suppose -48*a + 300 = -53*a. Let w be (15/(a/64))/(-26). Factor w*i**2 + 0 + 8/13*i + 2/13*i**3.
2*i*(i + 2)**2/13
Let u(q) be the first derivative of q**4/24 + 2*q**3/3 - 9*q**2/4 - 174*q + 182. Let p(c) be the first derivative of u(c). Find s such that p(s) = 0.
-9, 1
Let z(t) be the third derivative of -1/144*t**4 + 1/720*t**6 + 1/1260*t**7 - 6*t**2 - 1/360*t**5 + 0*t + 0*t**3 + 0. Factor z(r).
r*(r - 1)*(r + 1)**2/6
Factor 1/6*k**2 - 1/3*k - 60.
(k - 20)*(k + 18)/6
Let g(k) be the first derivative of k**4/28 - 11*k**3/14 - 18*k**2/7 + 16*k + 67. Let s(r) be the first derivative of g(r). Determine c, given that s(c) = 0.
-1, 12
Let m(u) = 1245007*u**2 + 9984*u + 32. Let b(d) = 4980029*d**2 + 39938*d + 134. Let c(t) = 2*b(t) - 9*m(t). Factor c(s).
-5*(499*s + 2)**2
Let d(b) = 263*b**2 + b + 5. Let i be d(-3). Factor 5*h**4 + 1815*h**2 + 1961*h + 165*h**3 + 2325*h + i*h.
5*h*(h + 11)**3
Let k be ((-264)/484)/(-9 - 2890/(-330)). Find f, given that -k*f - 3/8*f**2 + 0 + 3/8*f**3 = 0.
-2, 0, 3
Let m be (-35)/(8 - 3) - 110/(-14). Suppose -22/7*k - m*k**2 - 16/7 = 0. What is k?
-8/3, -1
Suppose 75 = 5*q - f, 2*q = q - 4*f + 15. Factor -17 + 7 - 14 - 66*v - q*v**2.
-3*(v + 4)*(5*v + 2)
Factor 408/5 - 1/5*y**3 + 132/5*y**2 + 541/5*y.
-(y - 136)*(y + 1)*(y + 3)/5
Let q = -150/7 + 321/14. Let b(k) be the first derivati