13*s**3/7 + 23*s**2 + 31. Factor x(g).
(g - 2)*(g + 13)*(7*g + 3)/7
Suppose -119*h + 52 + 165/2*h**2 - 16*h**3 + 1/2*h**4 = 0. Calculate h.
1, 4, 26
Suppose 0 = -5*n - c - 3585, 3*n + 3*c + 1047 = -1104. Let b = n - -719. Find f, given that 0 - 1/4*f**b + 3/8*f**3 + 5/8*f**4 + 0*f = 0.
-1, 0, 2/5
Let w(p) = -26*p**2 - 37*p + 241. Let c(j) = 11*j**2 + 22*j - 121. Let d(t) = 9*c(t) + 4*w(t). Find n such that d(n) = 0.
5
Let y be 518/56*16/30 - (-8)/(-30). Find m, given that -2 - 2/9*m**2 - 2*m**3 + y*m - 4/9*m**4 = 0.
-3, 1/2, 1
Let f be (-3)/(-2)*12/9. What is m in 2854 + m**f + 9*m**2 + 67*m - 6*m**2 - 550 - 259*m = 0?
24
Let c(q) = -11*q**2 - 766*q + 4994. Let m be c(6). Find w, given that -8*w**m + 26/3 - 28/3*w**3 - 2/3*w**4 + 28/3*w = 0.
-13, -1, 1
Let v(f) be the second derivative of 5*f**7/42 + 4*f**6/3 + 13*f**5/4 - 25*f**4/2 - 60*f**3 + 668*f. Factor v(i).
5*i*(i - 2)*(i + 3)**2*(i + 4)
Let r(j) be the first derivative of 48*j - 16*j**2 - 1/3*j**4 - 30 - 44/9*j**3. Factor r(i).
-4*(i - 1)*(i + 6)**2/3
Factor 138*p**3 - p**4 + 583377*p - 69336*p**2 + 1866063*p + 2519424 + 508*p**3 - p**4.
-2*(p - 108)**3*(p + 1)
Let i = -140 + 135. Let h be (-21)/11*(-6 - i). Factor 34/11*k + 8/11 + h*k**2.
(3*k + 4)*(7*k + 2)/11
Suppose 13*a + 1033 = 3633. Factor 30*u - 14*u**2 + 10*u**2 + 39*u - a + 26*u + 13*u.
-4*(u - 25)*(u - 2)
Let z(j) be the second derivative of -152*j - 23*j**2 - 25/6*j**4 + 0 + 47/3*j**3 + 1/10*j**5. Factor z(b).
2*(b - 23)*(b - 1)**2
Let m = 170 + -166. Let l be (6/m)/((-30)/(-40)). Factor 2*q**l + 0*q - 2/3*q**5 + 10/3*q**3 + 2/3*q**4 + 0.
-2*q**2*(q - 3)*(q + 1)**2/3
Let h = -358764 - -1076294/3. Factor 4*j**3 + 0*j + 0*j**2 + 0 + h*j**4.
2*j**3*(j + 6)/3
Suppose -2 - 45*d**2 + 2 + 5*d**3 - 26*d - 19*d + 22*d**4 - 17*d**4 = 0. Calculate d.
-3, -1, 0, 3
Let w(l) = -4*l**3 + 61*l**2 + 48*l + 2. Let c be w(16). Let o(j) be the first derivative of -1/9*j**3 - 4/3*j - 2/3*j**c + 35. Solve o(g) = 0 for g.
-2
Suppose -13*c + 16*c - 30 = 0. Let r**2 + 3*r**2 + r**3 - c + 0*r**3 + 6*r**2 - r = 0. What is r?
-10, -1, 1
Let c(w) = -5*w**2 + 24*w + 9. Let a be c(5). Factor -3*h**3 - 4*h + 21*h**5 - 22*h**5 + a*h**3 + h**3 + 3*h.
-h*(h - 1)**2*(h + 1)**2
Factor -43*q**2 + 18*q**2 + 6*q**2 + 124*q + 122 + 21*q**2.
2*(q + 1)*(q + 61)
Suppose -6226*n = -6316*n + 180. Factor -4*l + 2/3*l**3 - 16/3 + 2*l**n.
2*(l - 2)*(l + 1)*(l + 4)/3
Suppose 476 = -150*m + 926. Let 1/4*c**m + 81/4 + 99/4*c + 19/4*c**2 = 0. What is c?
-9, -1
Let t(x) be the second derivative of x**4/42 - 34*x**3/21 - 41*x**2 + 4*x + 369. Factor t(u).
2*(u - 41)*(u + 7)/7
Let v = -6151 - -6155. Let s(g) be the first derivative of -v*g + 8/3*g**3 - 7*g**2 - 9. Factor s(p).
2*(p - 2)*(4*p + 1)
Let m(n) be the second derivative of -n**5/8 - 295*n**4/24 + 5*n**3/12 + 295*n**2/4 + 917*n. Factor m(x).
-5*(x - 1)*(x + 1)*(x + 59)/2
Let r(p) = -p**3 + 138*p**2 - 12*p + 1660. Let s be r(138). Factor -2/3*d**2 + 1/6*d**5 + 0 + 1/6*d**s + 0*d - 2/3*d**3.
d**2*(d - 2)*(d + 1)*(d + 2)/6
Let t = 7/228708 + 8233453/1143540. Factor 2/5*h**3 + t + 16/5*h**2 + 42/5*h.
2*(h + 2)*(h + 3)**2/5
Factor 2/3*b**2 - 190 + 568/3*b.
2*(b - 1)*(b + 285)/3
Let b(j) be the second derivative of j**6/10 - 12*j**5/5 + 49*j**4/4 + 33*j**3 - 1855*j. Solve b(w) = 0 for w.
-1, 0, 6, 11
Suppose 28*m - 15 = 65 - 24. Factor -54*f + 1458 + 1/2*f**m.
(f - 54)**2/2
Let 0*z + 8/3*z**5 - 62/3*z**3 - 18*z**4 + 0 + 0*z**2 = 0. Calculate z.
-1, 0, 31/4
Let h = 5/30334 - -60633/212338. Factor h*p**2 + 126 - 12*p.
2*(p - 21)**2/7
Factor 17155*r - 26*r**2 + 158 - 2404*r + 2636 + 38*r**2 + 893.
3*(r + 1229)*(4*r + 1)
Let s(u) be the first derivative of u**4/10 + 28*u**3/5 - 87*u**2/5 + 88*u/5 + 1496. Let s(c) = 0. What is c?
-44, 1
Let n(z) = -9*z + 35. Let i be n(-10). Let g = i - 122. Suppose 111*b**3 - 115*b**g + 4*b**4 + 2*b**2 - 2*b**2 = 0. What is b?
0, 1
Suppose -240/13 + 2/13*m**2 + 38/13*m = 0. Calculate m.
-24, 5
Let a(h) be the first derivative of -h**6/60 - h**5/8 - 7*h**4/24 - h**3/4 + 2*h - 104. Let w(g) be the first derivative of a(g). Solve w(p) = 0 for p.
-3, -1, 0
Let i(a) be the third derivative of a**6/108 - a**5/10 - 2*a**4/9 + 97*a**3/6 + 8*a**2 - 3*a. Let z(q) be the first derivative of i(q). Factor z(r).
2*(r - 4)*(5*r + 2)/3
Let h be -12 + (14560781/(-8856))/(-131) + (-2)/(-27). Factor -h*q + 75/8 + 1/8*q**3 - 7/8*q**2.
(q - 5)**2*(q + 3)/8
Let j = -23869/10 + 2387. Let z(k) be the second derivative of 7*k + 1/10*k**2 - 1/100*k**5 - j*k**3 + 1/20*k**4 + 0. Factor z(d).
-(d - 1)**3/5
Factor 4944*k - 9*k**2 - 6018*k + 3*k**3 + 55 + 1025.
3*(k - 20)*(k - 1)*(k + 18)
Let 4*c**4 - 41*c**2 + 44*c + 12*c**3 - 2*c**2 + 24*c**3 - 41*c**2 = 0. Calculate c.
-11, 0, 1
Let x be -8 - (-77 - -76)/(1/8). Let s(p) be the first derivative of x*p - 2/27*p**3 + 4 - 11/9*p**2. Determine h so that s(h) = 0.
-11, 0
Find z such that -4 + 24*z**3 - 1/3*z**4 - 8/3*z**5 - 23/3*z**2 - 100/3*z = 0.
-3, -1, -1/8, 2
Find r such that 744/5*r**3 - 4/5*r**5 + 0 - 48*r**4 + 252/5*r - 752/5*r**2 = 0.
-63, 0, 1
Solve -4/5*p**4 - 4*p + 38/5*p**3 + 0 + 22/5*p**2 = 0.
-1, 0, 1/2, 10
Let u(q) be the first derivative of q**7/630 - 4*q**6/135 + 7*q**5/90 - q**3/3 + 69*q**2 - 115. Let b(r) be the third derivative of u(r). Factor b(c).
4*c*(c - 7)*(c - 1)/3
Suppose -5*t + 23*b = 24*b - 18, -5*b = -2*t + 18. Suppose -49*p - 8*p**4 + 6*p**2 + 3*p**3 - 15 + 21*p + 39 + 7*p**t = 0. What is p?
-3, 2
Let p(q) be the second derivative of 2*q**6/15 + 22*q**5/5 + 44*q**4 - 36*q**3 - 3402*q**2 - q + 925. Solve p(k) = 0 for k.
-9, -7, 3
Let v be (24 + 0)/3 - (-240)/60. Suppose -1077*z = -1080*z + v. What is c in 0 + 0*c**2 + 0*c + 4/9*c**z + 4/9*c**3 = 0?
-1, 0
Let j = -150/9989 - -510639/79912. Find b such that -3/8*b**2 + j*b - 6 = 0.
1, 16
Factor 16/7*c**3 + 10/7*c**2 + 0 + 0*c.
2*c**2*(8*c + 5)/7
Let y be (12 + 0)/(93/(-3038)). Let p = y - -396. Factor -1/8*s**5 + 0*s**p + 0*s + 1/2*s**3 + 0*s**2 + 0.
-s**3*(s - 2)*(s + 2)/8
Suppose -c + 528 + 256 = -5*h, -h = 0. Let r = 10194/13 - c. Factor 4/13*p**4 - 4/13*p**2 + 0*p**3 + 0 - r*p + 2/13*p**5.
2*p*(p - 1)*(p + 1)**3/13
Let n = -512 + 516. Factor -4*y - n*y + 3*y**2 + 6 + y - 4*y**2 + 8*y.
-(y - 3)*(y + 2)
Let d be (135/(-30) - -4)*-10. Let v(a) be the third derivative of 0 + 28*a**2 + 0*a - 1/420*a**6 - 8/21*a**3 + 1/105*a**d + 1/21*a**4. Let v(u) = 0. What is u?
-2, 2
Let p(b) be the first derivative of b**6/36 - b**5/6 + b**4/4 + b**3/9 - 7*b**2/12 + b/2 + 749. Factor p(v).
(v - 3)*(v - 1)**3*(v + 1)/6
Let s(o) be the second derivative of -21/20*o**5 - 6*o + 41/24*o**4 - 1 + 20*o**3 + 1/12*o**6 - 25*o**2. Factor s(f).
(f - 5)**2*(f + 2)*(5*f - 2)/2
Let i be (-2 - 3*-1)/(38/(-12635)). Let b = -331 - i. Factor 1/4*m**2 + 5/4*m + b.
(m + 2)*(m + 3)/4
Let o be (-1)/(1 - 0) - -5. Find x such that -43*x**4 - o*x**5 + 3*x + x + 19*x**4 + 16*x**4 + 8*x**2 = 0.
-1, 0, 1
Let m(r) = r**3 + 11*r**2 + 7*r + 106. Let w be m(-11). Suppose 0*o = -2*o + 24. Suppose -3*s**4 - 11*s + 3*s**2 + w*s - 6*s**3 - o*s = 0. What is s?
-2, -1, 0, 1
Suppose 833 = -3*i + 1253. Let b be 30/(0 - 6)*(-24)/i. Determine n so that 8/7 + 8/7*n - b*n**2 + 2/7*n**4 - 4/7*n**3 = 0.
-1, 2
Let d(q) be the third derivative of 0*q + 1/480*q**5 - 82*q**2 + 0 + 4/3*q**3 - 1/12*q**4. Let d(z) = 0. Calculate z.
8
Let f(y) = -5*y**2 + 602*y + 2110. Let s(v) = 2*v**2 - 298*v - 1056. Let m(n) = -4*f(n) - 9*s(n). What is p in m(p) = 0?
-133, -4
Suppose 128*w - 208 = 76*w. Let t(h) be the second derivative of -1/60*h**5 - 46*h - 1/6*h**3 - 1/6*h**2 - 1/12*h**w - 2. Factor t(s).
-(s + 1)**3/3
Suppose -2*q = -4*f - 2, 19 = 7*f - 10*f - 2*q. Let a be (44/(-33) - (-1 - -1))/f. Suppose -2/9*m**4 + 4/9*m**3 - a*m + 2/9 + 0*m**2 = 0. Calculate m.
-1, 1
Let l(s) = -6*s**2 - 121*s - 300. Let n be l(-17). Let w(i) be the first derivative of 0*i**2 - 2/3*i**3 + 0*i + 1/2*i**4 + n. Let w(c) = 0. What is c?
0, 1
Let y(a) be the second derivative of a**4/3 + 1114*a**3/3 + 1112*a**2 - 217*a + 2. Factor y(w).
4*(w + 1)*(w + 556)
Let b(n) be the first derivative of 13/6*n**6 - 28/5*n**5 + 42 - 2/3*n**3 + 0*n + 17/4*n**4 + 0*n**2. Factor b(o).
o**2*(o - 1)**2*(13*o - 2)
Let l(g) be the third derivative of g**6/240 + 5*g**5/12 - 157*g**4/48 + 53*g**3/6 - 55*g**2. Fa