2 + 18*g - 12. Let t(i) = -5*a(i) + 6*h(i). Factor t(d).
3*(d - 2)**2*(d - 1)
Let h = 1689 - 1574. Let o be 27/15 + 138/h. Factor -5/8 - 13/4*l**2 + 7/4*l**o - 1/8*l**4 + 19/8*l - 1/8*l**5.
-(l - 1)**4*(l + 5)/8
Let p = -9/28 + 15/14. Let c be 3 + -5 + 3 + 3. Determine a, given that p*a**c + 3/2*a**2 + 3/8*a + 15/8*a**3 + 0 = 0.
-1, -1/2, 0
Let l(u) = -47*u - 41. Let x be l(-1). Suppose 3*s - 2*p - x - 4 = 0, 0 = 4*p + 20. Solve -24/7*q**3 + 18/7*q**4 + 0 - 8/7*q**2 + 2*q**5 + s*q = 0.
-2, -2/7, 0, 1
Factor p**2 - 2480*p + 3 + 4911*p - 3 - 2474*p.
p*(p - 43)
Let c(t) be the third derivative of -1/450*t**5 + 49*t**2 + 0*t + 1/12*t**4 - 14/45*t**3 + 0. Factor c(y).
-2*(y - 14)*(y - 1)/15
Let w(g) be the second derivative of -g**6/6 + 27*g**5/4 + 165*g**4/2 + 80*g**3/3 - 2640*g**2 + 150*g. Factor w(d).
-5*(d - 33)*(d - 2)*(d + 4)**2
Let t = 316/75 - -28/25. Factor -16/3*j + t*j**3 + 4*j**2 - 16/3 + 4/3*j**4.
4*(j - 1)*(j + 1)*(j + 2)**2/3
Let d be (-54)/(-42) + 4/(-14). Suppose d + 13 = 7*n. Suppose 2*h**2 - 3*h + 2*h**2 - 10*h**n + 4*h**2 - 1 = 0. What is h?
-1, -1/2
Let n(x) be the second derivative of 7*x**4/4 + 129*x**3 - 111*x**2/2 + 65*x + 3. What is f in n(f) = 0?
-37, 1/7
Let g = 349 - 345. Let s be 58/60 - g*4/20. Factor 1/6*u**5 - 1/6*u**3 + 0*u + 0 + s*u**2 - 1/6*u**4.
u**2*(u - 1)**2*(u + 1)/6
Let f(j) be the first derivative of j**6/72 + j**5/2 + 15*j**4/2 + 155*j**3/3 - 93. Let c(t) be the third derivative of f(t). Suppose c(w) = 0. Calculate w.
-6
Factor -4*n - 7*n**2 + 2*n**3 + 463861 - 463861.
n*(n - 4)*(2*n + 1)
Let w(h) be the third derivative of h**6/180 - 49*h**5/90 - 15*h**4/2 - 25*h**2 + 62. Factor w(x).
2*x*(x - 54)*(x + 5)/3
Let r(c) be the first derivative of c**5/60 + c**4/16 + c**3/36 - c**2/8 - c/6 + 1080. Factor r(i).
(i - 1)*(i + 1)**2*(i + 2)/12
Let x(y) be the third derivative of -169*y**7/105 + 1807*y**6/60 + 284*y**5/15 + 11*y**4/3 + 135*y**2. Factor x(j).
-2*j*(j - 11)*(13*j + 2)**2
Let f(r) be the second derivative of r**7/105 - r**6/15 - 2*r**5/5 + 86*r**2 - 113*r. Let n(i) be the first derivative of f(i). Find m such that n(m) = 0.
-2, 0, 6
Find v such that 323*v**2 - 2809*v**4 + 2872*v**4 + 123*v**3 + 227*v**3 + 136*v + 4 - 96*v**3 = 0.
-2, -1, -2/63
Let q(o) = 2*o**2 - 11*o - 10. Let c be q(5). Let r be (48/40)/((-6)/c). Suppose -2*j**2 - r*j**2 - 5*j**2 + 15*j**3 + 35*j**4 - 40*j**3 = 0. What is j?
-2/7, 0, 1
Let p(l) = 14*l**2 - 54*l + 510. Let i(a) = 2*a**2 + 2*a + 1. Let t(b) = 6*i(b) - p(b). Suppose t(j) = 0. What is j?
12, 21
Let c(u) be the first derivative of 27*u**2 + 97 + 0*u - 1/2*u**3. Solve c(h) = 0 for h.
0, 36
Let d(l) = 2*l - 16. Let p be d(17). Suppose -p*m**3 - 9 - 12*m**5 + 6*m - 5*m + 25*m + 4*m + 33*m**4 - 24*m**2 = 0. What is m?
-1, 3/4, 1
Let o(c) be the second derivative of -c**5/180 + 13*c**4/9 - 1352*c**3/9 - 19*c**2/2 + 153*c. Let b(s) be the first derivative of o(s). Factor b(p).
-(p - 52)**2/3
Suppose 9*m + 0 = 13 + 5. Let x(t) be the third derivative of 0 - 1/42*t**4 + 1/210*t**5 + 1/21*t**3 - 15*t**m + 0*t. Factor x(p).
2*(p - 1)**2/7
Let u(p) = -p**3 + 19*p**2 + 5*p. Let v(w) = -w**3 + 10*w**2 + 2*w. Suppose -17*a - 15 = -2*x - 12*a, x + 2*a = 3. Let h(i) = x*v(i) - 2*u(i). Factor h(b).
-3*b**2*(b - 4)
Let p(i) be the second derivative of -i**6/55 + 107*i**5/110 + 149*i**4/66 - 35*i**3/33 - 74*i**2/11 - 5*i + 91. Find r such that p(r) = 0.
-1, 2/3, 37
Let x = 4521 + -4519. Let m(w) be the first derivative of 1/16*w**4 - 7/8*w**2 + 1/6*w**3 - x + w. Solve m(j) = 0.
-4, 1
Suppose 439*f + 24274 - 24274 = 0. What is b in -9/5*b - 3*b**2 - 3/5*b**3 + f + 3/5*b**4 = 0?
-1, 0, 3
Find w such that -2/7*w**4 - 80/7*w**2 - 312/7*w + 34/7*w**3 + 0 = 0.
-2, 0, 6, 13
Let f be 119/102 + ((-3223)/330 - -9). Solve -s + 1/5*s**3 - 3/5*s**2 + 1/5*s**4 - f = 0 for s.
-1, 2
Factor 276*a**2 + 701*a + 7*a**3 + 1194*a - 11*a**3 + 233*a.
-4*a*(a - 76)*(a + 7)
Let n(s) be the first derivative of s**4/66 - 23*s**3/33 - 24*s**2/11 - 17*s + 157. Let q(y) be the first derivative of n(y). Suppose q(t) = 0. What is t?
-1, 24
Let n(k) be the third derivative of 0*k - 9 + 1/56*k**4 - 1/105*k**5 + 0*k**3 + 1/840*k**6 + 13*k**2. Factor n(u).
u*(u - 3)*(u - 1)/7
Let d(q) = -39*q**3 - 825*q**2 - 2736*q + 660. Let f(y) = -2*y**3 + y**2 - y + 2. Let z(t) = -d(t) + 6*f(t). Find o such that z(o) = 0.
-27, -4, 2/9
Solve -1854 - 6372*p**3 + 1994*p + 14 - 932*p**2 + 6376*p**3 + 774*p = 0 for p.
1, 2, 230
Let w(q) be the first derivative of -2*q**6/33 - 82*q**5/55 - 115*q**4/22 + 136*q**3/33 - 332. Determine x, given that w(x) = 0.
-17, -4, 0, 1/2
Let y(n) = -2*n - 6. Let q(i) be the first derivative of -i**3/3 - i**2/2 + i - 53. Let t(c) = -4*q(c) + 2*y(c). Factor t(x).
4*(x - 2)*(x + 2)
Let 25/2*w + 49/4 + 1/4*w**2 = 0. What is w?
-49, -1
Let j(r) be the second derivative of 47/20*r**4 + 0 - 1/10*r**3 - 141/10*r**2 - 244*r + 3/100*r**5. Solve j(n) = 0 for n.
-47, -1, 1
Determine w so that 2*w**2 + 86*w**2 + 67*w**3 - 78*w - 8*w**3 - 56 + 2*w**4 + 2*w**4 - 17*w**3 = 0.
-7, -4, -1/2, 1
Suppose 114 = 29*x + 9*x. Let t be 78/70 - 3/(-5). Find h, given that -2/7 - 4/7*h**x - t*h**4 + 2*h**2 - 3/7*h + h**5 = 0.
-1, -2/7, 1
Suppose 3*b - 3*k = -5*k - 8, 5*b + 5*k + 10 = 0. Let x be (b - 464/(-120))*-1. Factor 0*c + x*c**4 + 4/15*c**2 + 0 - 2/5*c**3.
2*c**2*(c - 2)*(c - 1)/15
Let y be (-35)/(-14)*((-6)/4)/((-315)/28). Let f(q) be the first derivative of -1/2*q**2 + 0*q + 33 - y*q**3. Let f(b) = 0. Calculate b.
-1, 0
Let w = 4 + -2. Suppose w*k + 4 = -4*d, -k - 5*d = 4*k. Factor -2*p + 4*p**4 + 4*p**k + 0*p + 2*p - 8*p**3.
4*p**2*(p - 1)**2
Let c = -240/1601 + 2561/6404. Factor c*j**2 + 4*j + 16.
(j + 8)**2/4
Let c(j) be the first derivative of 1/14*j**4 - 1 - 4*j**2 - 1/210*j**6 + 0*j + 0*j**5 - 4/21*j**3. Let n(y) be the second derivative of c(y). Factor n(t).
-4*(t - 1)**2*(t + 2)/7
Let t be 1936/336 - ((-10)/6)/(-1). Let a = -24/7 + t. Find j such that 0*j + 2/3*j**4 + 0*j**3 + 0 - a*j**2 = 0.
-1, 0, 1
Let n(g) be the third derivative of -17/210*g**5 + 1/735*g**7 + 0*g**3 - 17*g**2 + 3/28*g**4 + g + 0 + 1/60*g**6. Factor n(c).
2*c*(c - 1)**2*(c + 9)/7
Let q(n) be the second derivative of 0*n**2 + 0*n**3 - 1/66*n**4 + 6*n - 1/110*n**5 + 1/231*n**7 - 5 + 1/165*n**6. Factor q(x).
2*x**2*(x - 1)*(x + 1)**2/11
Let c be 4/36*37410/40. Let q = c + -308/3. Factor -q + 3/2*x - 1/4*x**2.
-(x - 5)*(x - 1)/4
Let q = 1081641 - 5408202/5. Let 18/5 + 3/5*m - 12/5*m**2 + q*m**3 = 0. What is m?
-1, 2, 3
Suppose 0 = -4*f - 302 + 1030. Factor -3*w**2 + f - 182 - 5*w + 29*w.
-3*w*(w - 8)
Let s be ((1479/85)/29)/(7/5). Let 0*n + 12/7*n**2 + 15/7*n**4 + s*n**5 + 24/7*n**3 + 0 = 0. Calculate n.
-2, -1, 0
Factor -211*f**2 - 149*f**2 + 312*f**4 - 52*f**3 + 348*f**4 - 656*f**4.
4*f**2*(f - 18)*(f + 5)
Suppose 29 = 3*u - q, -5*q = -13 + 8. Factor 101*y**2 + 4*y + 15*y**2 - 6*y + u*y.
4*y*(29*y + 2)
Let d(j) be the first derivative of j**7/420 + j**6/24 - j**5/15 + 82*j**3/3 - 58. Let b(f) be the third derivative of d(f). Factor b(l).
l*(l + 8)*(2*l - 1)
Suppose 16*u - 11*u = 10. Factor -4*m**u - 19*m - 15*m + 6*m.
-4*m*(m + 7)
Suppose 46*z - 12 = 48*z - 4*s, 2*z - s = -3. Let y(n) be the second derivative of 1/50*n**5 - 46*n + 0 + 7/90*n**4 - 4/15*n**2 + z*n**3. Factor y(k).
2*(k + 1)*(k + 2)*(3*k - 2)/15
Solve 3632/13*z**3 - 804/13*z + 2810/13*z**2 + 18/13*z**4 + 0 = 0 for z.
-201, -1, 0, 2/9
Suppose -428 = 2*d + 472. Let j = d + 901/2. Factor 0 + j*a**2 - 3*a.
a*(a - 6)/2
Let i be (-1 + -5)/(8/(48/9)). Let c be i - ((-80)/3)/5. Let 0 + 1/3*u**5 - c*u**2 + u**4 + 0*u + 0*u**3 = 0. What is u?
-2, 0, 1
Let x = 72106 + -72052. Determine q so that x*q + 489/2*q**3 + 0 + 21/2*q**5 + 87*q**4 + 252*q**2 = 0.
-3, -2, -2/7, 0
Let z(r) be the second derivative of -r**5/5 - 13*r**4/3 - 64*r**3/3 - 40*r**2 - 1565*r + 2. Let z(j) = 0. What is j?
-10, -2, -1
Suppose -w = o - 22 - 35, -220 = -4*o + 4*w. Suppose 72 - o = 8*u. Suppose 3/2*j**u - 1/2*j**3 - 2 + 0*j = 0. What is j?
-1, 2
Suppose 3*g + 7*q = 5*q + 9, -2*q + 3 = g. Suppose x + 8 = 2*w, -g*w - 10*x + 7*x = 6. Factor -10/13*f - 2/13*f**3 + 0 + 12/13*f**w.
-2*f*(f - 5)*(f - 1)/13
Let i(j) be the third derivative of j**5/40 + 179*j**4/16 - 45*j**3 + 10890*j**2. Factor i(g).
3*(g - 1)*(g + 180)/2
Let v