j + 1)**2*(j + 2)/5
Suppose 4*m - 3*j - 59 = 0, -5*j - 5 - 28 = -2*m. Factor 8*i**2 + 5*i - 5*i**3 - 28*i**2 - 6*i - m*i.
-5*i*(i + 1)*(i + 3)
Solve -210*j - 106*j**2 - 91*j**2 + 48 + 426*j**3 + 237*j**4 - 271*j + 25*j - 88*j**2 + 30*j**5 = 0.
-4, -1, 1/10, 1
Suppose -2*g = -7 - 1. Factor -4*i**2 - 14*i + 26*i + 8 + 6*i**3 - 4*i**g - 6*i**3 - 12*i**3.
-4*(i - 1)*(i + 1)**2*(i + 2)
Suppose -3*i = 5*b - 10, 10*i - 5*b = 11*i - 10. Let x be 12 - (-6)/(-2) - i. Factor -15/2*a**4 - 39/2*a**3 + x*a**2 + 0*a + 0.
-3*a**2*(a + 3)*(5*a - 2)/2
Let j be (-16)/10*(-10)/4. Let z be (j/5)/(4/10). Let 5*m + 0*m - z*m**2 - m = 0. What is m?
0, 2
Determine k, given that -80 - 43*k + 48*k**5 + 36*k**2 - 411*k**3 - 349*k**3 + 507*k**4 + 395*k - 103*k**4 = 0.
-10, -2/3, 1/4, 1
Let x(a) be the third derivative of -a**7/840 - a**6/240 + 7*a**5/240 + 5*a**4/24 + a**3/2 - a**2 - 156*a. Let x(h) = 0. Calculate h.
-2, -1, 3
Let r(b) = -3*b**2 + 28*b - 14. Let o be r(8). Factor -o + 44 - 8*i + 2*i**2 - 18.
2*(i - 2)**2
Let c(s) be the second derivative of s**6/195 - 2*s**5/13 + 50*s**4/39 + 55*s. What is q in c(q) = 0?
0, 10
Let h(j) be the first derivative of -j**9/13608 - j**8/7560 + j**7/3780 + j**6/1620 - j**3/3 - 8. Let s(y) be the third derivative of h(y). Factor s(c).
-2*c**2*(c - 1)*(c + 1)**2/9
Let x(t) = -t**3 - 14*t**2 + t + 14. Let l be x(-14). Suppose -13*h + 9*h + 8 = 0. Find v such that -2/3*v + 2/3*v**3 + 0*v**h + l = 0.
-1, 0, 1
Let l(d) = -d**3 + 62*d**2 - 314*d + 346. Let y(p) = -15*p**3 + 805*p**2 - 4080*p + 4500. Let j(a) = 40*l(a) - 3*y(a). Solve j(q) = 0.
-17, 2
Let v(z) be the first derivative of -z**3/4 - 135*z**2/8 + 243. Factor v(w).
-3*w*(w + 45)/4
Let y(r) be the third derivative of -r**8/1176 - 11*r**7/735 - 3*r**2 - 2. Determine t so that y(t) = 0.
-11, 0
Let l(g) be the second derivative of -13*g**4/4 - 12*g**3 + 6*g**2 - 73*g. Determine q, given that l(q) = 0.
-2, 2/13
Suppose 0*c - 2*c = -14. Let 0*o - o + 2 + 6*o**2 - c*o**2 = 0. What is o?
-2, 1
Let h(x) be the third derivative of x**5/80 - 95*x**4/32 + 47*x**3/4 - 88*x**2 - 2. Suppose h(s) = 0. Calculate s.
1, 94
Let l = -79321078/217995 - 12/72665. Let w = l + 364. Factor -2/15*n**4 + 0*n**2 + w*n**5 + 0*n + 0*n**3 + 0.
2*n**4*(n - 1)/15
Let j be (-91)/20 + (6 + -15)/45. Let i = j + 5. Let 0*z + i*z**2 - 1/4*z**5 + 0 - 1/4*z**4 + 1/4*z**3 = 0. What is z?
-1, 0, 1
Let 2/11*i**4 + 20/11*i**2 - 18/11*i**3 + 72/11*i - 112/11 = 0. Calculate i.
-2, 2, 7
Find s such that 10 + 2*s**2 - 6 - 2*s - 4*s**5 - 4 - 24*s**3 + 11*s**2 + 17*s**4 = 0.
0, 1/4, 1, 2
Let t(x) = -x + 1. Let v(n) = -4*n**2 - 11*n - 1. Let b(q) = -3*t(q) + v(q). Factor b(a).
-4*(a + 1)**2
Let r(m) be the third derivative of 53*m**5/4 - 5*m**4/12 - 461*m**2. What is o in r(o) = 0?
0, 2/159
Let j(q) = -q**3 + 11*q**2 - 8*q - 5. Let w be j(10). Suppose w = -2*s - s, -5*m = 4*s - 25. Factor 0*n + 12*n**3 - m - 29*n + 0*n**2 - n + 27*n**2.
3*(n - 1)*(n + 3)*(4*n + 1)
Let t(g) = -2*g**3 - 7*g**2 + g + 9. Let d be t(-4). Suppose d = -2*c + 27. Factor -c*f**2 - 3/4*f - 3/4*f**5 + 0 - 3*f**4 - 9/2*f**3.
-3*f*(f + 1)**4/4
Let w(t) be the first derivative of t**3/21 - 11*t**2/14 + 24*t/7 - 281. Let w(c) = 0. Calculate c.
3, 8
Let k(j) = j**3 - 3*j**2 + 4. Let l be k(2). Let a(g) be the first derivative of -1/4*g**4 - 1/3*g**3 - 3 + l*g + 1/2*g**2 + 1/5*g**5. Factor a(z).
z*(z - 1)**2*(z + 1)
Suppose x - 4*h + 35 = -2*x, 0 = -4*x + 3*h - 42. Let z be (x/(-4))/(((-10)/4)/(-5)). Suppose -3*n + 1/2*n**2 + z = 0. Calculate n.
3
Suppose -4*p - 10 = -6*p. Let b(z) = -z + 21. Let r be b(19). Suppose -10*j**4 - 7*j**2 + 9*j**5 - 11*j**p - 16*j**3 - j**r = 0. What is j?
-2, -1, 0
Suppose -74 + 25*n**3 - 17*n**2 + 28 + 27*n**4 - 22*n**2 - 20*n + 22 + 36 - 5*n**5 = 0. Calculate n.
-1, 2/5, 1, 6
Factor 0 - 9/2*m**2 - 11/10*m - 2/5*m**3.
-m*(m + 11)*(4*m + 1)/10
Suppose -4*b = -33 + 25. Let d(v) be the first derivative of -1/5*v + 1/15*v**3 - 5 + 0*v**b. Factor d(n).
(n - 1)*(n + 1)/5
Let g(a) be the first derivative of -9/14*a**2 + 1/7*a**3 + 0*a + 31. Factor g(t).
3*t*(t - 3)/7
Let a(g) be the first derivative of 2*g**5/25 - 4*g**4/5 - 22*g**3/5 + 29. What is d in a(d) = 0?
-3, 0, 11
Let h(j) = 5*j**2 + 1145*j - 33640. Let i(g) = 3*g**2 + 572*g - 16820. Let z(p) = 8*h(p) - 15*i(p). Let z(m) = 0. Calculate m.
58
Suppose 9 = 113*v - 330. Determine y so that 45/2 + 75/2*y + 5/2*y**v + 35/2*y**2 = 0.
-3, -1
Let a = -78 - -83. Factor -12*y**3 - 17*y**3 + 10*y**3 - a*y**3 - 32*y - 48*y**2 - 4*y**4.
-4*y*(y + 2)**3
Let n be ((-10)/36 + 38/(-171))*-12. Let y(c) be the second derivative of 13/4*c**4 + c + 9/10*c**5 + 6*c**2 + 0 + 1/10*c**n + 6*c**3. Factor y(t).
3*(t + 1)**2*(t + 2)**2
Let l = 327 - 324. Let x(y) be the first derivative of y**4 - 4/5*y - l - 1/3*y**6 + 8/15*y**3 - 4/25*y**5 - y**2. Determine r, given that x(r) = 0.
-1, -2/5, 1
Let m = -11/156 + 739/156. Factor -2/3 - 2*a**4 - 16/3*a**2 - 1/3*a**5 - m*a**3 - 3*a.
-(a + 1)**4*(a + 2)/3
Let b = 7/226 + 99/452. What is z in b*z**2 + 3/4*z + 0 = 0?
-3, 0
Determine k so that k**3 + 1/2*k**4 - k + 3/2 - 2*k**2 = 0.
-3, -1, 1
Let p = -54 + 163/3. Let t = p + -5/33. Let t*y**2 - 2/11*y + 0 = 0. Calculate y.
0, 1
Suppose -45*f - 9 = -70 - 74. Factor -2/3*d + 0*d**2 + 2/9 + 8/9*d**f.
2*(d + 1)*(2*d - 1)**2/9
Let u(w) = 2*w**4 - 18*w**3 - 24*w**2 + 73*w - 71. Let g(c) = -c**4 + 8*c**3 + 12*c**2 - 37*c + 35. Let x(t) = 7*g(t) + 3*u(t). Let x(k) = 0. Calculate k.
-4, 2
Let d(f) = -4*f**4 + 5*f**3 - 40*f**2 + 72*f - 36. Let i(g) = 17*g**4 - 18*g**3 + 159*g**2 - 289*g + 144. Let k(l) = -26*d(l) - 6*i(l). Factor k(j).
2*(j - 4)*(j - 3)**2*(j - 1)
Let q be -76*((-1068)/(-1755) - (-6)/(-10)). Let v = 2/117 - q. Let -2/9*i**2 + 4/9*i + 0 - 8/9*i**3 + v*i**4 = 0. What is i?
-2/3, 0, 1
Let p(h) be the first derivative of 15*h**3/8 + 21*h**2/16 - 3*h/4 + 59. Factor p(w).
3*(3*w + 2)*(5*w - 1)/8
Solve -5*u - 4*u - 32*u**2 - 3 - 3*u**3 + 23*u**2 = 0 for u.
-1
Suppose 6/7*p**2 - 1/7*p**4 + 1/7*p**3 + 0*p + 0 = 0. What is p?
-2, 0, 3
Factor 3173*n + 2*n**2 - 860*n - 903*n - 758*n - 970*n.
2*n*(n - 159)
Let n(h) = -h**2 - 18*h + 5. Let l be n(-18). Factor 10*t - 21*t**4 + 6*t**2 - 15*t**3 - t**2 + 16*t**4 + 5*t**l.
5*t*(t - 2)*(t - 1)*(t + 1)**2
Let z(b) be the third derivative of -b**8/35 - 4*b**7/35 - 33*b**6/200 - b**5/10 - b**4/40 + 9*b**2 - 2*b. Suppose z(j) = 0. What is j?
-1, -1/4, 0
Let a(m) be the second derivative of m**4/28 - 3*m**3/7 + 27*m**2/14 - 57*m. Factor a(f).
3*(f - 3)**2/7
Let k(j) be the second derivative of -j**7/2520 - j**6/180 - j**5/30 - j**4/9 - 4*j**3 + 20*j. Let b(v) be the second derivative of k(v). Solve b(r) = 0 for r.
-2
Let q(a) be the second derivative of -5*a**6/42 + 23*a**5/14 - 649*a**4/84 + 92*a**3/7 - 72*a**2/7 - 87*a + 2. Solve q(i) = 0.
3/5, 4
Suppose 76*w - 74*w = 0. Find j, given that -j**4 + 2*j**3 + 0*j**3 - j**3 + w*j**3 = 0.
0, 1
Let f be ((-80)/(-12) + -6)*3. Let n(p) be the first derivative of 3/4*p**4 - 3 + 0*p + p**f + 5/3*p**3. Suppose n(x) = 0. Calculate x.
-1, -2/3, 0
Let t(f) = -16*f**3. Let h be t(-1). Suppose 0*a - a = z, 5*a - 3*z = h. Factor -4 - 6*d + 3*d**2 - a + 4 + 5.
3*(d - 1)**2
Let d be (6/3)/((-3)/12). Let s = d + 12. Factor -2*g**3 - 6*g**2 + 1 + 8*g**4 + 2*g + 0*g**3 + 1 - 4*g**s.
2*(g - 1)**2*(g + 1)*(2*g + 1)
Let y be (10/(-309))/(29/(-87)). Let b = y + 342/721. Factor 2/7*i**3 + 0*i - b*i**4 + 0 + 2/7*i**5 + 0*i**2.
2*i**3*(i - 1)**2/7
Factor 6636*s - 55*s**3 - 5*s**4 - 6636*s + 60*s**2.
-5*s**2*(s - 1)*(s + 12)
Let d(l) = -17*l**3 + 114*l**2 - 360*l + 423. Let c(r) = -4*r**3 + 28*r**2 - 90*r + 106. Let g(j) = 9*c(j) - 2*d(j). Determine y so that g(y) = 0.
3, 6
Let p(m) = -51*m**3 + 52*m**3 + 1 + 2 + 2*m**2. Let u be p(0). Factor 4*n**5 + 5*n - 3*n**3 + 8*n**2 + n**u - n - 4 - 6*n**3 - 4*n**4.
4*(n - 1)**3*(n + 1)**2
Solve 11/5*j + 1 + 7/5*j**2 + 1/5*j**3 = 0 for j.
-5, -1
Suppose 21*b - 18*b**2 + 59*b + 22*b**2 + 1296 + 64*b = 0. What is b?
-18
Suppose -3*i + 2*d = -2, 4*i + 12 = 5*i + 5*d. Find m such that 0*m**2 - m + 26*m**3 - i*m**2 - 27*m**3 + 4*m**2 = 0.
0, 1
Suppose 5*t = -5*c + 3745, 0 = 7*t - 12*t - 2*c + 3739. Suppose -747 = 4*x - t. What is f in -6/7*f**2 + 4/21*f + 2/3*f**3 + x = 0?
0, 2/7, 1
Let h(o) be the third derivative o