2 + d*j**5 + 0*j + 2*j**4 - 4/7*j**3 + 0.
2*j**3*(j + 1)*(9*j - 2)/7
Let x be 35/20*-2*404/10. Let m = x + 2161/15. Solve m*q**3 - 20/3*q**2 - 4*q + 0 = 0.
-1/2, 0, 3
Let x(r) = r**2 + 1691*r - 9333. Let c(d) = -1744*d + 9332. Let z(u) = 3*c(u) + 4*x(u). Factor z(j).
4*(j - 6)*(j + 389)
Let j be 6/((4/(-801 + 5))/(-1)). Let s = 20300/17 - j. Suppose 2/17*b**2 - s*b**3 + 0*b + 0 = 0. Calculate b.
0, 1
Suppose -4*u + 5*m + 2 = -3*u, -4*m + 6 = 3*u. Let g = -785 - -3926/5. Factor -1/5*p + 0 + g*p**u.
p*(p - 1)/5
Let o(n) = -7*n**3 + 7*n**2 + 8*n + 14 - 8*n**3 + 16*n**3. Let m be o(-6). Let c**3 + c**2 + 4*c**3 + 2*c**2 - 13*c**m + 5*c = 0. What is c?
0, 1
Let q(t) be the second derivative of -t**4/18 + 67*t**3/9 - 310*t**2/3 + 788*t. Factor q(r).
-2*(r - 62)*(r - 5)/3
Let g be 992/(-186)*402/(-152). Let t = g + -1321/95. Find b such that 1/10*b**4 - 4/5 - 3/10*b**3 + 6/5*b - t*b**2 = 0.
-2, 1, 2
Factor 60/7*a - 3/7*a**2 + 0.
-3*a*(a - 20)/7
Let b(n) be the third derivative of n**8/588 - 68*n**7/735 + 12*n**6/7 - 288*n**5/35 - 576*n**4/7 - 205*n**2. Factor b(v).
4*v*(v - 12)**3*(v + 2)/7
Let u(t) be the second derivative of -4*t**2 + 2/15*t**6 + 0 - 2*t**3 + 3/5*t**5 + 34*t + 1/3*t**4. Factor u(p).
4*(p - 1)*(p + 1)**2*(p + 2)
Let i(k) be the third derivative of -k**7/18900 - 17*k**6/5400 + k**4/24 + 17*k**3/6 - 2*k**2 - 69. Let l(x) be the second derivative of i(x). Factor l(g).
-2*g*(g + 17)/15
Let b(j) be the third derivative of 0*j + 29/6*j**4 + 1682/3*j**3 + 79*j**2 + 1/60*j**5 + 0. Solve b(m) = 0.
-58
Let g(c) = -c**4 + c**2 + c + 1. Let o be (-3)/(9/4)*(-11 - -14). Let l(x) = -6*x**4 - 8*x**3 + 16*x**2 + 76*x + 58. Let s(z) = o*g(z) + l(z). Solve s(k) = 0.
-3, -1, 3
Suppose 10*w = 11 + 9. Find u, given that -u**5 - 351*u**2 + w*u**4 - 2*u**4 + 0*u**4 + 3*u**3 + 353*u**2 = 0.
-1, 0, 2
Let j(k) = -2*k**4 - 22*k**3 - 60*k**2 - 24*k. Let t(d) = 5*d**4 + 65*d**3 + 188*d**2 + 72*d. Let b(u) = 7*j(u) + 2*t(u). Factor b(g).
-4*g*(g + 1)*(g + 2)*(g + 3)
Let x(a) be the second derivative of a**4/4 - 34*a**3 + 1593*a**2/2 + 2501*a. What is q in x(q) = 0?
9, 59
Let u be -21 + 19 - (2 - (-681)/3). Let h = u + 695/3. Factor -50/9*a + h + 112/9*a**2 - 32/9*a**3.
-2*(a - 3)*(4*a - 1)**2/9
Find k, given that -93/5*k + 0 - 1/5*k**5 + 28/5*k**2 - 28/5*k**4 + 94/5*k**3 = 0.
-31, -1, 0, 1, 3
Let n = -56882 + 110505/2. Let k = -1625 - n. Determine q so that 3/4*q**4 - k*q**3 + 12 + 18*q + 3/4*q**2 = 0.
-1, 4
Let x(u) = 4*u - 8. Suppose 3*l = 3*a, 6*l = 8*l - 3*a - 5. Let j(q) = -q**2 - 4*q + 10. Let g(p) = l*x(p) - 4*j(p). Suppose g(b) = 0. Calculate b.
0, 1
Let f be 1/(10/(-36))*(78/104 + -2). Determine i so that 0*i**2 - 3/8*i**3 + 39/8*i + f = 0.
-3, -1, 4
Suppose 5*i + 18*i - 161 = 0. Suppose -5*c = -8 - i. Factor y**2 - 1/4*y**c + 0 + 0*y.
-y**2*(y - 4)/4
Suppose -2*c + c = -5, 2*c = -4*u + 3298. Let t = 828 - u. Factor t*a**2 + 15/2*a + 3/2*a**3 + 3.
3*(a + 1)**2*(a + 2)/2
Let w = 38303/21764 - 54/5441. Find t such that 5/4*t**2 + 1/4*t**3 + w - 13/4*t = 0.
-7, 1
Let n = -5615 - -5620. Let b(p) be the first derivative of 0*p + 9/8*p**6 + 9/20*p**n - p**3 - 11 + 0*p**2 - 3/2*p**4. Factor b(k).
3*k**2*(k - 1)*(3*k + 2)**2/4
Let y = 67 - 20. Let z = -44 + y. Find c, given that -6*c**4 + 3*c**3 + 6*c**4 + 4*c**5 + z*c**2 - 7*c**5 - 3*c**4 = 0.
-1, 0, 1
Suppose 5*x + 3*h - 71 = 0, -3*x = x - h - 67. Factor -17*b**3 - x*b**3 + 10*b + 35*b**3 + 6*b + 12*b**2.
2*b*(b + 2)*(b + 4)
Let h(y) = -5*y**3 + 6285*y**2 - 2658621*y + 373092311. Let s(k) = 15*k**3 - 18850*k**2 + 7975864*k - 1119276934. Let o(c) = -19*h(c) - 6*s(c). Factor o(p).
5*(p - 421)**3
Suppose -777*y - 286*y + 6072 = 455*y. Factor 3*x - 7/2*x**y - 13*x**3 + 0 - 13/2*x**2.
-x*(x + 1)*(x + 3)*(7*x - 2)/2
Suppose 15 = 2*w + 1. Suppose -w*z + 23 = 2. What is r in -58*r**4 + 12*r - 3*r**z - 61*r**4 + 122*r**4 - 12*r**2 = 0?
-2, 0, 1, 2
Let p be 248/7 + (-16)/(-28). Suppose 35 = -p*q + 179. Find o such that 2*o**3 + 14/13*o - 2/13 - 30/13*o**2 - 8/13*o**q = 0.
1/4, 1
Suppose 101*x - 106*x = 320. Let k be 5/(-2)*(-5)/((-1000)/x). What is m in -3/5*m**2 - k - 8/5*m = 0?
-2, -2/3
Solve 13121 - 614*l + 19766 + 2*l**2 + 192905 + 180*l - 910*l = 0 for l.
336
Let m(a) = -a**2 - 440*a + 8247. Let j be m(18). Factor -1/3*h**2 + 1/3*h - 1/3*h**j + 1/3.
-(h - 1)*(h + 1)**2/3
Let q(a) be the second derivative of -a**4/90 + 16*a**3/5 + 29*a**2/3 - a - 1070. Suppose q(v) = 0. What is v?
-1, 145
Let v be (728/(-78))/((-2)/27). Let m be (-105)/90 + 159/v. Find c such that -8/21 - m*c**2 - 8/21*c = 0.
-2
Let x(c) be the third derivative of -3*c**7/280 + 29*c**6/160 - 21*c**5/40 + c**4/2 + 132*c**2. Solve x(q) = 0 for q.
0, 2/3, 1, 8
Let l(u) be the third derivative of -u**6/180 - 107*u**5/90 + 217*u**4/36 - 109*u**3/9 + 639*u**2. What is j in l(j) = 0?
-109, 1
Suppose -3*r + o = -6, -4*o + 32 = -62*r + 64*r. Let 0 + 16/7*c**5 + 44/7*c**2 - 44/7*c**r - 4*c**3 + 12/7*c = 0. Calculate c.
-1, -1/4, 0, 1, 3
Let u = -1539 + 1542. Let x(i) be the second derivative of 0*i**u + i**5 + 0 + 13*i - 2/3*i**4 + 0*i**2 - 4/15*i**6. Let x(z) = 0. What is z?
0, 1/2, 2
Suppose -6*a + 16 - 3 + 17 = 0. Let q(r) be the first derivative of -r**3 + 16 + 9/8*r**4 + 0*r - 1/4*r**6 + 0*r**2 + 0*r**a. Solve q(f) = 0.
-2, 0, 1
Let c be -5*(-2)/15*(-249)/(-2). Factor -2*d + c*d**3 - 41*d**3 + 2*d - 33*d**3 + 3*d**4.
3*d**3*(d + 3)
Solve 1232*r**3 - 1223*r**2 - 1768*r - 716*r**2 + 167*r**2 - 1236*r**3 = 0.
-442, -1, 0
Let b(q) be the third derivative of 1/6*q**7 - 20*q**4 + 0 - 47/12*q**5 + 31/24*q**6 - 60*q**2 + 30*q**3 - 5/112*q**8 + 0*q. Determine s so that b(s) = 0.
-2, 1/3, 3
Suppose 64 - 5*o + 3*o + 98*o + 4*o**3 + 36*o**2 = 0. Calculate o.
-4, -1
Let n = 203918 - 203916. Factor -2/5*q + 0 + 0*q**n + 2/5*q**3.
2*q*(q - 1)*(q + 1)/5
Suppose -512*o - 396 = -503*o. Let i be -7 + -2 + o/(-4). Factor 0 - s + 1/5*s**i.
s*(s - 5)/5
Let i be ((-8)/28*-36)/((-12)/(-56)). Let q be 12/3 + (i/14 - -4). Solve 16/7*b**4 + 16/7 + q*b**3 + 132/7*b**2 + 80/7*b = 0.
-2, -1/2
Let b be -6611 + 6665 + (-912)/17. Factor -36/17 + b*r + 2/17*r**2.
2*(r - 3)*(r + 6)/17
Factor 20359*r**4 - 17*r**3 + 3*r**3 + 8*r**2 - r**5 - 20352*r**4.
-r**2*(r - 4)*(r - 2)*(r - 1)
Let k(m) be the first derivative of -m**4 - 344*m**3 + 1038*m**2 - 1040*m + 703. Suppose k(b) = 0. What is b?
-260, 1
Suppose 2*a = -3*d + 169, -4*a - 8 = -2*a. Factor -9*t**2 + 14*t**3 - 510 + 510 + d*t - t**4 + 13*t + 77*t**2.
-t*(t - 18)*(t + 2)**2
Let r(a) = -3*a**3 - 43*a**2 - 35*a - 1840. Let c be r(-16). Find n such that c*n - 2/9 + 2/9*n**2 = 0.
-1, 1
Let j(r) be the first derivative of 33/5*r**2 - 198/5*r**4 + 97/5*r**3 + 432/25*r**5 + 3/5*r - 63. Factor j(p).
3*(p - 1)**2*(12*p + 1)**2/5
What is u in 4*u**3 + 3*u**4 + 122*u**3 + 960 - 2*u**5 - 11*u**4 - 1024*u - 73*u**2 + 21*u**2 = 0?
-10, -3, 1, 4
Let j = -3 - -1. Let t(k) = k**2 - 24*k**3 + 5 + 0*k**2 - 9*k**2 + 25*k**3 - 3*k. Let i(q) = -q**2 - q + 1. Let a(p) = j*t(p) + 10*i(p). What is y in a(y) = 0?
0, 1, 2
Solve -22 - 4*k**2 - 5*k**2 + 21*k + 13*k**2 - 5*k**2 - 32 = 0.
3, 18
Let o(m) be the first derivative of 15*m**4/4 + 2166*m**3 - 5211*m**2/2 - 1302*m + 315. Factor o(f).
3*(f - 1)*(f + 434)*(5*f + 1)
Let f be (-14)/((1 - 0)*-1). Let a be (-1)/f*-7*0. Factor 4/5*k**3 + 0*k + 0*k**2 + 2/5*k**5 - 6/5*k**4 + a.
2*k**3*(k - 2)*(k - 1)/5
Let j(g) be the third derivative of g**6/180 + g**5/15 - 8*g**4/3 - 185*g**3/6 + 23*g**2. Let w(f) be the first derivative of j(f). Factor w(r).
2*(r - 4)*(r + 8)
Let j(w) = 34*w**2 - 682*w - 669. Let b be j(21). Factor -2/13*f**2 + 0*f + 2/13*f**b + 0.
2*f**2*(f - 1)/13
Let d(b) = b + 1. Let u be d(-1). Suppose u = -7*l + 1 + 13. Find g such that 10*g - 3*g**2 + 37*g**3 + 8*g**3 + 5*g**5 + 36*g**2 + l*g**2 + 25*g**4 = 0.
-2, -1, 0
Suppose -s + 79 = -26. Factor 16*x + 143*x**3 - 139*x**3 - s*x**2 + 121*x**2.
4*x*(x + 2)**2
Let h = 34 - 31. Suppose l - 3*m - 17 = 0, 7*l = 3*l + h*m + 23. Factor -2*t**3 - 3*t**4 - 3*t**2 + t**2 + 1 + 4*t**2 - l*t**3 + 4*t.
-(t - 1)*(t + 1)**2*(3*t + 1)
Let f(k) be the second derivative of k**5/5 + 1789*k**4 + 6401042*k**3 + 11451464138*k**2 - 3584*k + 2. Factor f(m).
4*(m + 1789)**3
Let c be 1/(262/1098 - (-14)/(-63)). Solve 25*w - 32 - 42*w**2 - c*w + 38*w**2 = 0.
-8, -1
Let y(