
-2*(t - 2)*(t + 1)*(t + 3)/11
Suppose -2*p + m = -3, 3*p - 5*m + 12 + 1 = 0. Factor -52*g**5 - 8 - 2*g**3 - 59*g**5 - 24*g - 22*g**2 + 6*g**p + 113*g**5.
2*(g - 2)*(g + 1)**3*(g + 2)
Let t = -238122/1111 - -1071/101. Let x = -203 - t. Factor -2/11*j**3 - 2/11*j**2 + x + 8/11*j.
-2*(j - 2)*(j + 1)*(j + 2)/11
Let x(a) = a + 14. Let q be x(-12). Determine w so that -160*w**q - 2*w**4 + 128*w + 34*w**3 + 1563 - 1563 = 0.
0, 1, 8
Let v(n) be the third derivative of 0*n + 0 - 60*n**2 - 17/48*n**4 + 289/24*n**3 + 1/240*n**5. Determine c, given that v(c) = 0.
17
Let 188/11*f + 368/11 + 2/11*f**2 = 0. What is f?
-92, -2
Let u(h) be the first derivative of -27*h**5/5 - 153*h**4/4 - 40*h**3 + 150*h**2 + 1643. Factor u(g).
-3*g*(g - 1)*(3*g + 10)**2
Let m(l) = -22*l**4 - 67*l**3 - 87*l**2 - 30*l - 2. Let f(s) = -175*s**2 + 2 - 45*s**4 - 90*s + 30*s - 130*s**3 - 7. Let v(a) = 2*f(a) - 5*m(a). Factor v(k).
5*k*(k + 1)*(k + 2)*(4*k + 3)
Suppose 0 = -77*p + 91*p - 280. Let x(t) be the second derivative of -p*t - 1/25*t**5 + 0*t**2 - 1/15*t**4 + 0*t**3 + 0 - 1/150*t**6. Factor x(g).
-g**2*(g + 2)**2/5
Determine c, given that 598*c - 3*c**2 + 147418 - 4*c**2 - 58017 + 6*c**2 + 2*c**2 = 0.
-299
Factor -860 + 25*x**2 - 285*x + 5*x**3 + 721 + 634.
5*(x - 3)**2*(x + 11)
Factor 1/6*z**3 + 1061/6*z**2 - 1/6*z - 1061/6.
(z - 1)*(z + 1)*(z + 1061)/6
Let u(x) = -x**3 + 16*x**2 - 14*x - 10. Let i be 0*3/9 - -15. Let q be u(i). Factor 6*f**3 + 4*f**3 + 0*f - 6*f - q*f**4 + 5 - 4*f.
-5*(f - 1)**3*(f + 1)
Let b be 3/2*(131/9 + -14). Let z(g) be the second derivative of 0 + b*g**2 + 1/36*g**4 + 10*g + 1/3*g**3. Factor z(x).
(x + 1)*(x + 5)/3
Let p(s) be the second derivative of -3*s**5/40 + 37*s**4/8 + 445*s**3/4 + 3525*s**2/4 + 11762*s. Factor p(g).
-3*(g - 47)*(g + 5)**2/2
Let t(w) be the first derivative of 0*w**3 - 13/2*w**2 + 0*w - 2 + 1/3*w**4 - 1/3*w**5. Let u(z) be the second derivative of t(z). Suppose u(o) = 0. What is o?
0, 2/5
Let d = -1278355/4 - -319589. Factor d*n**2 + 0 + 2*n.
n*(n + 8)/4
Let y = 12819/2737 - 1161/391. Suppose -y*l**2 - 40/7*l + 4*l**3 + 0 = 0. What is l?
-1, 0, 10/7
Find k, given that 0 + 180*k + 51/2*k**2 = 0.
-120/17, 0
Let u(g) be the third derivative of 10*g**7/21 + 3*g**6/2 - 359*g**5/60 - 33*g**4/2 + 242*g**3/3 + 137*g**2 - g. Suppose u(x) = 0. What is x?
-2, 11/10
Suppose 1708/9*r**2 - 1796*r - 4/9*r**4 + 4680 - 4/3*r**3 = 0. Calculate r.
-26, 5, 9
Solve -416/11*u**2 - 23/11*u**5 - 19*u**4 + 0 - 32/11*u - 570/11*u**3 = 0 for u.
-4, -1, -2/23, 0
Find d, given that 168 - 842/5*d + 2/5*d**2 = 0.
1, 420
Let k(c) be the second derivative of c**5/30 + 43*c**4/18 + 161*c**3/3 + 147*c**2 + 5398*c + 1. Solve k(t) = 0.
-21, -1
Let u(k) be the third derivative of k**6/120 + k**5/6 + 17*k**4/24 + 4*k**3/3 - 741*k**2. Factor u(c).
(c + 1)**2*(c + 8)
Let t = -147678 - -443038/3. Suppose 0*k + t*k**4 + 0 + 300*k**2 + 40*k**3 = 0. Calculate k.
-15, 0
Let y(j) be the first derivative of -12*j**2 + 3/2*j**4 - 4*j**3 + 0*j - 150 + 3/5*j**5. Find z such that y(z) = 0.
-2, 0, 2
Let v(h) be the third derivative of 17*h**2 + 1/78*h**4 + 0*h + 0 + 1/780*h**5 - 10/3*h**3 - 1/2340*h**6. Let t(r) be the first derivative of v(r). Factor t(b).
-2*(b - 2)*(b + 1)/13
Let v(u) be the first derivative of -u**4/26 + 44*u**3/39 - 28*u**2/13 - 22*u - 45. Let d(n) be the first derivative of v(n). What is g in d(g) = 0?
2/3, 14
Suppose -10*p = -3 - 17. Suppose -2*w = 5*m - 282, -285 = -5*m - 3*w - p*w. Factor 156*g - m*g - 125*g**2 + 64*g**2 - 20 - 64*g**2.
-5*(5*g - 2)**2
Let l(g) be the second derivative of -g**6/60 - 9*g**5/20 + 13*g**4/8 - 5*g**3/3 + 695*g - 1. Solve l(m) = 0 for m.
-20, 0, 1
Let v = 1053 - 1039. Suppose 15*z = -v*z. Factor 0 - 1/5*f**2 + 1/5*f**3 + z*f.
f**2*(f - 1)/5
Let i be (1 + -13)*(-8)/16 + 0. Suppose -6*f**2 - 204*f**3 + 2*f**5 + i*f**4 + 0*f + 206*f**3 - 4*f = 0. Calculate f.
-2, -1, 0, 1
Let f(a) = 3*a**4 - a**3 + a**2 + a + 1. Let q(w) = 9*w**4 - w**3 + 40*w**2 - 80*w + 52. Let b be ((-6)/9)/(18/27). Let t(h) = b*q(h) + 4*f(h). Factor t(r).
3*(r - 2)**2*(r - 1)*(r + 4)
Let t(q) be the second derivative of -q**4/54 + q**3 - 182*q**2/9 + 1067*q. What is d in t(d) = 0?
13, 14
Suppose 3*u - z = 5 + 1, 2*z = -2*u + 4. Let t be 38/14*1 - (-20)/70. Determine w so that 9*w - w**t - 3*w**u - 5 - 3 + 3 = 0.
-5, 1
Let s = -449577 - -3147042/7. Suppose 0 + 1/7*h**3 + 0*h + 2/7*h**5 + s*h**4 + 0*h**2 = 0. Calculate h.
-1, -1/2, 0
Let -9 + 15/4*a + 9/2*a**2 + 3/4*a**3 = 0. What is a?
-4, -3, 1
Suppose 13*s + 4*t - 12 - 42 = 0, 0 = -2*s - 3*t + 25. Find y, given that 0 + 2/7*y - 1/7*y**s = 0.
0, 2
Let a = -3020 - -3025. Suppose -9 = -2*v + 1. Let z(m) = m. Let w(c) = c**3 + 2*c**2. Let y(h) = a*z(h) + v*w(h). Factor y(b).
5*b*(b + 1)**2
Let q be ((-16896)/288 - -58)/((-4)/(-2)*(-3)/18). Let r(x) = x + 2. Let h be r(-2). Determine t so that -1/5*t**3 + h*t - 1/5*t**q + 0 = 0.
-1, 0
Let p(t) = t**3 - 4*t**2 - 4*t + 1. Let d be p(5). Let v be (-253)/(-46) - d/4. Let 30*k**3 - 8*k**3 + 32*k - 48*k**2 + 2*k**3 - 4*k**v = 0. Calculate k.
0, 2
Let l(z) be the first derivative of -1/15*z**3 - 11/2*z**2 - 135 + 0*z. Factor l(t).
-t*(t + 55)/5
Let u = 2619 - 2617. Let y be ((-27)/(-15))/(-3) - (-124)/140. Factor y*f**u + 10/7 - 12/7*f.
2*(f - 5)*(f - 1)/7
Let s be ((-475)/(-30))/((-2727)/(-108) - 24). Factor -s*v**3 - 2/3*v**5 + 14/3*v**4 + 50/3*v**2 - 32/3*v + 8/3.
-2*(v - 2)**2*(v - 1)**3/3
Let n(o) be the first derivative of -1 + 4/9*o**4 - 8/9*o**2 - 4/27*o**3 + 0*o + 4/45*o**5. Suppose n(d) = 0. What is d?
-4, -1, 0, 1
Suppose -2*x + 28 + 10 = 17*x. Let f be (-14)/(-44) - ((-316)/44 + 7). Determine m so that -1/2*m + f*m**3 + x - 2*m**2 = 0.
-1, 1, 4
Suppose -10*h = -3*h - 119. Suppose -h + 11 = -3*m. Suppose -4*y**2 + 2*y**2 + m*y**2 - 5*y**2 - 10*y = 0. Calculate y.
-2, 0
Let m(b) be the first derivative of 3*b**4/8 - 321*b**3 + 103041*b**2 - 14700516*b + 667. Factor m(v).
3*(v - 214)**3/2
Let p(q) be the second derivative of q**5/45 - 8*q**4/27 + 38*q**3/27 - 8*q**2/3 + q - 1772. What is t in p(t) = 0?
1, 3, 4
Let m(g) = -g**3 + g**2 - 2. Let s(a) = -3*a**3 + 69*a**2 - 1320*a + 6296. Let o(u) = -2*m(u) + s(u). Let o(t) = 0. What is t?
7, 30
Suppose -2*t - 13 = -29. Solve -t*m + 20*m - 5*m**2 - 26*m**3 - 19*m**2 - 21*m**4 - 31*m**3 = 0.
-2, -1, 0, 2/7
Solve 3*g**2 - 23*g + 63 + 46*g - 101*g - 112*g + 252*g**3 - 4*g**4 = 0 for g.
-1, 1/2, 63
Let l(z) be the third derivative of -11*z**6/40 - 47*z**5/20 + 15*z**4 + 18*z**3 - 4*z**2 - 252*z. Factor l(j).
-3*(j - 2)*(j + 6)*(11*j + 3)
Let k = -482 + 487. Let b be (6 - k)*8 - 6. Factor -9/2*p**b - 1/4*p**3 - 27*p - 54.
-(p + 6)**3/4
Let d(a) be the second derivative of -a**7/14 - 23*a**6/10 + 63*a**5/4 - 81*a**4/4 - 3325*a. Let d(y) = 0. Calculate y.
-27, 0, 1, 3
Let y(r) = 13*r**4 - 386*r**3 - 613*r**2 - 209*r + 10. Let o(c) = 7*c**4 - 192*c**3 - 307*c**2 - 105*c + 6. Let w(d) = 10*o(d) - 6*y(d). What is g in w(g) = 0?
-1, -1/2, 0, 51
Let w(k) be the first derivative of -k**6/2 - 3*k**5/5 + 3*k**4/2 - 587. Solve w(m) = 0 for m.
-2, 0, 1
Let g = -10334/15 + 3367/5. Let z = g + 81/5. Suppose -1/3*i**2 + z - 1/3*i = 0. What is i?
-2, 1
Let j = 9350/1753 - 2/5259. Suppose -22*t**3 - 7/3 - j*t**2 + 34/3*t - 3*t**4 = 0. What is t?
-7, -1, 1/3
Let b = -41 + 46. Let l be b/2 - 19/38. Let 9*i**3 - 4*i**l - 2*i**2 - 6*i**2 + 6*i - 3*i**2 = 0. Calculate i.
0, 2/3, 1
Let i = -42491 - -42491. Let l(v) be the first derivative of -2/5*v**2 + 25 + 2/5*v**3 - 6/25*v**5 + 1/10*v**4 + i*v + 1/15*v**6. Let l(z) = 0. What is z?
-1, 0, 1, 2
Let r be (-60)/16*-51 - (-12)/16. Let w = 194 - r. Suppose 0*k + 0 - 1/4*k**w = 0. What is k?
0
Let j = 1330 + -1316. Let r be -1*(-86)/j + (48 - 53). Factor 8/7*q**2 + 2/7*q**5 + 0 - 6/7*q**3 + r*q - 4/7*q**4.
2*q*(q - 2)**2*(q + 1)**2/7
Suppose -6*x + 20 = -x + 3*r, -4*r = -x + 27. Suppose x = h - 1. Factor h*t**2 - 7*t**2 - 5*t + 0*t**2.
t*(t - 5)
Suppose 3*k = -5*t - 1274 - 2684, -2*t - 2*k - 1584 = 0. Let i = -1581/2 - t. Factor -1/2*o**2 + 0*o + i*o**3 + 0.
o**2*(o - 1)/2
Let p(j) be the first derivative of -j**4/18 - 8*j**3/9 - 16*j**2/3 + 15*j + 48. Let g(z) be the first derivative of p(z). What is d in g(d) = 0?
-4
Let u(n) = -42*n**3 + 936*n**2 - 1871*n + 927. Let b(s) = -67*s**3 + 