*j**3 - 63/2*j**2 - 91*j - 60 = 0. What is j?
-60, -2, -1
Suppose 140 = -11*o - 9*o. Let r be (-2 - 10)/2*o/63. Solve 8/15*k**4 + 2/15*k**2 - r*k**3 + 0*k + 0 = 0 for k.
0, 1/4, 1
Let d = 269 - 263. Let j(q) = q**5 + q**4 + q**3 - q**2. Let v(z) = -7*z**5 + 3*z**4 - 35*z**3 + 45*z**2 - 18*z. Let i(m) = d*j(m) + v(m). Factor i(o).
-o*(o - 3)**2*(o - 2)*(o - 1)
Let b = -5465 + 5482. Let x(f) be the first derivative of -f + b + 0*f**2 + 1/3*f**3. Suppose x(u) = 0. Calculate u.
-1, 1
Let r(b) = -6*b**3 - 180*b**2 + 44*b + 1322. Let f be r(-30). Factor 0 - 1/3*y + 1/3*y**f.
y*(y - 1)/3
Suppose -4*t = 3*y + 6, -3*y - 77*t + 78*t = -9. Let n(q) be the second derivative of 0*q**2 + y*q + 1/3*q**3 + 1/2*q**4 - 2/5*q**5 + 0. Factor n(g).
-2*g*(g - 1)*(4*g + 1)
Let x(u) be the first derivative of -4*u**5/35 + 17*u**4 + 964*u**3/21 + 242*u**2/7 + 1287. Suppose x(y) = 0. Calculate y.
-1, 0, 121
Let g(b) be the second derivative of 30*b**2 + 0 - 25*b - 1/5*b**5 - 1/2*b**4 + 59/3*b**3. Suppose g(u) = 0. What is u?
-6, -1/2, 5
Factor -1/4*j**2 + 69/4*j - 459/2.
-(j - 51)*(j - 18)/4
Let o = -23057/2 + 11155. Let f = -373 - o. Factor -1/2*i + 1/2*i**2 - f + 1/2*i**3.
(i - 1)*(i + 1)**2/2
Let -182*c**2 + 358*c**2 - 157*c - 175*c**2 - 414*c + 570 = 0. Calculate c.
1, 570
Let u = -10494 - -10494. Let t(l) be the first derivative of 0*l + 8/15*l**5 + 2/9*l**6 - 49 + 0*l**2 + u*l**3 + 1/3*l**4. Factor t(j).
4*j**3*(j + 1)**2/3
Suppose 32*a - 65*a + 318 = 126*a. Let j = -3 - -7. Factor -a*z**4 - 2*z**5 - z**j + 5*z**4.
-2*z**4*(z - 1)
Let l(p) = 8*p - 2*p - 105 - 9*p**3 + 98 - 11*p**2. Let c(a) = -5*a**3 - 6*a**2 + 3*a - 4. Let x(n) = -7*c(n) + 4*l(n). Factor x(b).
-b*(b - 1)*(b + 3)
Let j(l) = 5*l**4 + 15*l**3 + 7*l**2 - 3*l - 3. Let m(i) = -20*i**4 - 60*i**3 - 29*i**2 + 11*i + 11. Let c(v) = 11*j(v) + 3*m(v). Determine u so that c(u) = 0.
-2, -1, 0
Let l(c) be the first derivative of 265 + 5/3*c**3 - 6/5*c**2 - 1/10*c**4 + 0*c. Factor l(f).
-f*(f - 12)*(2*f - 1)/5
Factor -7/5*y**3 - 147/5 + 347/5*y**2 - 193/5*y.
-(y - 49)*(y - 1)*(7*y + 3)/5
Let a = -13 - -14. Let p(x) = -15*x**2 - 2*x**3 + 3*x**3 - 9*x**2 + 3*x**2 - 16*x - 5. Let g(u) = u**3 - u**2 - 1. Let b(v) = a*p(v) - 5*g(v). Factor b(z).
-4*z*(z + 2)**2
Let l(p) be the second derivative of -p**4/15 + 6*p**3/5 - 28*p**2/5 - 348*p. Determine y so that l(y) = 0.
2, 7
Determine a, given that 20/3*a + 19/3*a**2 + 0 - 2/3*a**3 - 1/3*a**4 = 0.
-5, -1, 0, 4
Let l = 356 + -351. Let 15*u + l*u**3 + 14 - 40*u + 16 + 0*u - 10*u**2 = 0. Calculate u.
-2, 1, 3
Let m(u) be the third derivative of u**5/40 - 11*u**4/8 + 85*u**3/4 - 512*u**2. Determine n so that m(n) = 0.
5, 17
Factor -131/5*s - 1/5*s**3 + 22/5*s**2 + 182/5.
-(s - 13)*(s - 7)*(s - 2)/5
Factor -3/5*j**2 + 1/5*j**3 - 8*j + 84/5.
(j - 7)*(j - 2)*(j + 6)/5
Let q(r) be the second derivative of -48*r + 3/4*r**4 + 0 + 0*r**2 + r**3. Factor q(k).
3*k*(3*k + 2)
Let t(q) be the first derivative of -8/45*q**3 + 12/5*q + 1/30*q**4 - q**2 - 11. Factor t(s).
2*(s - 6)*(s - 1)*(s + 3)/15
Let n(s) be the third derivative of s**6/480 + s**5/120 - 2*s**4/3 + 20*s**3/3 - 2*s**2 + 122*s - 5. Let n(j) = 0. Calculate j.
-10, 4
Let h(w) = 16*w**2 + 2405*w + 1861. Let q(f) = -3*f**2 - 471*f - 372. Let m(i) = 6*h(i) + 33*q(i). Factor m(o).
-3*(o + 1)*(o + 370)
Let r be ((-16)/10)/(19/((-1330)/28)). Factor 1/2 + 1/4*a - 3/4*a**2 + 1/4*a**r - 1/4*a**3.
(a - 2)*(a - 1)*(a + 1)**2/4
Suppose 2*n + 5*s = -8, -3*s - 5 = -4*n + 5. Let q be (3 - -11)/(-14) + n + 3. Find z such that 0 - 4/3*z + 20/3*z**2 - 12*z**4 - 4*z**q = 0.
-1, 0, 1/3
Suppose 4*f - 4*z - 60 = 0, -24*f + 27*f - z - 21 = 0. Factor 24/7 + 2*j**2 + 2/7*j**f + 32/7*j.
2*(j + 2)**2*(j + 3)/7
Let q(i) = 7*i**2 + 4*i - 1. Let j(a) = 22*a**2 + 12*a - 2. Let c be (5/7)/((-3)/(-21)). Let t(z) = c*j(z) - 16*q(z). Suppose t(o) = 0. Calculate o.
-3, 1
Suppose 5*c - 7 - 3 = 0. Suppose 2*a + 14*n - 13*n - 7 = 0, -c*a + 4*n + 2 = 0. Factor 12/7*j**a + 15/7*j + 33/7*j**2 - 6/7.
3*(j + 1)*(j + 2)*(4*j - 1)/7
Let g(m) be the first derivative of 26 - 14/3*m**3 - 2*m**2 + 0*m - m**4 + 6/5*m**5. Factor g(k).
2*k*(k - 2)*(k + 1)*(3*k + 1)
Suppose 4*a + 360 = -4*s, 6*s - 2*a = 4*s - 160. Let l be (-10)/(-6)*(-153)/s. Solve -20 - 4 + 446*x + 9*x**4 + 15*x**2 + 42*x**l - 488*x = 0 for x.
-4, -1, -2/3, 1
Suppose 11*w = 13*w + 75*w - 2387. Let v(p) be the first derivative of 5*p**2 + 1/10*p**5 - 3*p**3 - 7/2*p + 1/2*p**4 - w. Suppose v(m) = 0. Calculate m.
-7, 1
Let l(w) = 121*w - 58*w - 2 - 59*w. Let g be l(1). Let -31*z + 3*z**2 + z**g + 27*z = 0. What is z?
0, 1
Factor -3/7*y**3 - 9/7*y**2 + 27 + 183/7*y.
-3*(y - 7)*(y + 1)*(y + 9)/7
Let a(n) be the first derivative of 9*n**4/4 - 34*n**3 + 249*n**2/2 - 72*n + 2847. Factor a(p).
3*(p - 8)*(p - 3)*(3*p - 1)
Suppose -167*v**2 + 109*v + 57*v**3 + 8 - 27*v**3 - 27*v**3 + 18 + 29 = 0. What is v?
-1/3, 1, 55
Suppose 654481*h + 809*h**2 + 529475129/3 + 1/3*h**3 = 0. Calculate h.
-809
Suppose 1925*t + 750 = 1930*t. Let x = -202 + 232. Factor 3/2*z**2 - x*z + t.
3*(z - 10)**2/2
Let c(f) be the first derivative of -114242*f**3/3 - 2868*f**2 - 72*f + 898. Factor c(a).
-2*(239*a + 6)**2
Let f(p) = -p**2 - 10*p + 11. Let s be f(-11). Let x be (-1*7/14)/(-3 + 0). Determine a so that 0 - x*a**4 + s*a + 2/3*a**3 - 2/3*a**2 = 0.
0, 2
Let d(t) be the third derivative of -t**5/40 - 117*t**4/8 - 342*t**3 - 5822*t**2. Determine h, given that d(h) = 0.
-228, -6
Let l(m) be the second derivative of m**5/80 - m**4/72 - 133*m**3/72 + 3*m + 413. Factor l(y).
y*(y - 7)*(3*y + 19)/12
Let o be -7*1 + 840644/114716. Let x = o + 6/241. Factor 4/17*z - 24/17*z**3 + 0 - 14/17*z**4 - x*z**2.
-2*z*(z + 1)**2*(7*z - 2)/17
Factor -75 + 1/4*i**2 - 37*i.
(i - 150)*(i + 2)/4
Let -1/5*j**4 - 8008*j - 288/5*j**3 + 61347/5 - 21018/5*j**2 = 0. What is j?
-143, -3, 1
Suppose 9*o = -3413 + 3440. Let w(i) be the second derivative of 0*i**2 - 1/54*i**4 - 2/27*i**o + 0 + 1/90*i**5 + 20*i. Determine k, given that w(k) = 0.
-1, 0, 2
Let t = -780/3761 + 40089/30088. Let 0 + 10*n**2 - 3/2*n**3 + 24*n - 1/8*n**5 - t*n**4 = 0. What is n?
-4, 0, 3
Factor 168 + 5296/3*u + 7252*u**3 + 6188*u**2 + 343/6*u**4.
(u + 126)*(7*u + 2)**3/6
Let g(k) be the second derivative of -2809*k**6/285 - 106*k**5/95 - 2*k**4/57 + k - 1158. Factor g(y).
-2*y**2*(53*y + 2)**2/19
Suppose -w + 0 + 13 = 3*s, 4*s = -2*w + 30. Factor c**2 - w*c**2 - 58*c - 2082 + 2070.
-2*(c + 3)*(9*c + 2)
Let p(i) be the third derivative of -i**6/600 + 133*i**5/60 - 1327*i**4/120 + 221*i**3/10 + 259*i**2 - 2. Factor p(o).
-(o - 663)*(o - 1)**2/5
Suppose 2/5*q**2 + 372/5 - 74/5*q = 0. What is q?
6, 31
Let o be 21*(-6)/(-9) - (-2 + 9). Let j(y) be the first derivative of -1/2*y**6 + 6*y**2 - 10*y**3 + o - 3/4*y**4 + 24*y + 12/5*y**5. Factor j(d).
-3*(d - 2)**3*(d + 1)**2
Factor 13*y - 171*y**2 - 3*y + 1520*y**3 + 3371*y**2 + 160*y**4 - 5*y**5 - 10*y.
-5*y**2*(y - 40)*(y + 4)**2
Suppose -80*g + 5/2*g**4 + 5*g**3 - 40*g**2 + 0 = 0. What is g?
-4, -2, 0, 4
Suppose -1/8*l**4 + 17/8*l - 65/8*l**2 + 33/4 - 17/8*l**3 = 0. What is l?
-11, -6, -1, 1
Let j = -56 + 52. Let h(o) = o**2 + 6*o + 10. Let z be h(j). Let -3*q**4 - 6*q**3 + 0*q**2 + 0*q**2 - q**2 - z*q**2 = 0. Calculate q.
-1, 0
Let h = 58287/5 - 11657. Let q(d) be the first derivative of -8/5*d**3 - h*d**2 - 9/4*d**4 + 0*d - d**5 - 30. Suppose q(x) = 0. What is x?
-1, -2/5, 0
Suppose 0 = -4168*z + 4155*z + 26. Let h(d) be the second derivative of 1 - 70/3*d**3 + 5/12*d**4 + 490*d**z - 11*d. Find j, given that h(j) = 0.
14
Let w be (-21)/(-49) + (-529)/(-7). Factor 253*n - 2662 + 76*n + w*n + 2*n**3 - 66*n**2 + 321*n.
2*(n - 11)**3
Let b(w) be the second derivative of -w**6/60 + 9*w**5/20 + w**4/8 - 14*w**3/3 + 9*w**2 + 1826*w. Factor b(y).
-(y - 18)*(y - 1)**2*(y + 2)/2
Let i = 1801 + -7199/4. Let l(o) be the first derivative of i*o**4 - 3*o**5 - 5/6*o**6 + 35/3*o**3 - 20*o + 0*o**2 + 14. Solve l(a) = 0 for a.
-2, -1, 1
Let f(c) be the second derivative of 0*c**6 + 0 + 8/9*c**4 + 0*c**3 + 2/5*c**5 - 1/63*c**7 + 0*c**2 + 5*c. Find y, given that f(y) = 0.
-2, 0, 4
Let h = -222/1043 + 109582/5215. Determine w so that -1014/5*w**2 - 8/15 - h*w = 0.
-2/39
Factor -62*m**2 - 2*m**3 + 78 + 14793*m - 16*m**2 - 14791*m.
-2*(m - 1)*(m + 1)*(m + 39)
Let l b