 659*l**2. Factor n(q).
3*(q + 24)**2
Determine f so that 393/2*f**2 + 1/2*f**3 + 19404*f + 19208 = 0.
-196, -1
Let f(g) be the first derivative of -g**5/12 - 35*g**4/24 - 5*g**3 - g**2/2 - 20*g - 9. Let s(w) be the second derivative of f(w). Solve s(p) = 0.
-6, -1
Let t be 7/9 + (-5)/(225/(-10)). Suppose -4*h + 5*b - 9*b = -4, 3*h + 5*b = t. Factor -21/5*z**h - 3*z - 9/5*z**3 - 3/5.
-3*(z + 1)**2*(3*z + 1)/5
Let k(t) be the third derivative of -t**6/480 - t**5/30 - 3*t**4/32 + 3*t**3/4 - 7*t**2 + 81*t. Factor k(r).
-(r - 1)*(r + 3)*(r + 6)/4
Let l(s) be the second derivative of 2*s**6/15 - 1282*s**5/5 + 136103*s**4 + 3297304*s**3/3 + 3307592*s**2 + 3023*s. Factor l(m).
4*(m - 643)**2*(m + 2)**2
Let s(c) = c**3 + 11*c**2 - 79*c + 19. Suppose -434*i = -433*i + 16. Let b be s(i). Factor -83/5*x - 324/5*x**2 + 64/5*x**4 - 7/5 - 80*x**b.
(x - 7)*(4*x + 1)**3/5
Suppose 4*c + d = 5*d + 20, -d - 17 = -4*c. Suppose c*f + 2*h = 7*h + 2, 2*f - 12 = -3*h. Solve -5*w**4 + 5*w**2 - w + 5*w**3 + f*w - 7*w = 0.
-1, 0, 1
Let y(z) = -5*z**4 + 7105*z**3 - 14195*z**2 + 7095*z + 10. Let h(n) = 3*n**4 - 4736*n**3 + 9463*n**2 - 4730*n - 7. Let a(m) = 10*h(m) + 7*y(m). Factor a(l).
-5*l*(l - 473)*(l - 1)**2
Let y be (-177)/(-767) + ((-1800)/78)/(-4). Factor 0*a + 0 - 2/7*a**5 + 20/7*a**2 + 24/7*a**4 - y*a**3.
-2*a**2*(a - 10)*(a - 1)**2/7
Factor -118/5*k - 396/5 + 36/5*k**2 - 2/5*k**3.
-2*(k - 11)*(k - 9)*(k + 2)/5
Let h(l) = 26*l - 8 - 30*l - 17. Let b be h(-13). Factor -w - 17*w**2 - b*w**2 + 17*w + 20*w**3 - 4*w**4 + 12*w**2.
-4*w*(w - 2)**2*(w - 1)
Let q(p) be the first derivative of 28/15*p**3 - 2 + 0*p + 0*p**2 + 1/5*p**4. Find r such that q(r) = 0.
-7, 0
Let -4394/3 - 169*x + 1/3*x**3 + 0*x**2 = 0. Calculate x.
-13, 26
Let f(x) be the third derivative of -x**8/2016 + x**7/42 - 79*x**6/240 + 26*x**5/45 - 12942*x**2. Determine j, given that f(j) = 0.
0, 1, 13, 16
Let c(g) be the third derivative of 2/3*g**3 - 11/72*g**4 + 0 + 0*g + 1/90*g**5 + 64*g**2. Factor c(s).
(s - 4)*(2*s - 3)/3
Suppose -10 = -5*s - 4*d, s + 0*d - 2 = d. Suppose -5*i**3 - 80 - 19629*i - 3*i**2 + 19689*i + 3*i**s = 0. Calculate i.
-4, 2
Let -35792*w**2 - 11*w**3 + 3*w**4 + 35798*w**2 + 2*w**3 = 0. What is w?
0, 1, 2
Let l(f) be the third derivative of -1/20*f**5 + f + 17/8*f**4 + 0 + 9*f**3 + f**2. Find i such that l(i) = 0.
-1, 18
What is v in -2/11*v**3 + 544/11*v**2 - 75076/11 - 36442/11*v = 0?
-2, 137
Suppose 349*t + 3494*t**2 + 4*t**3 - 3308 - 9626*t**2 - 6961*t + 2832*t**2 = 0. Calculate t.
-1, 827
Solve -47*g + 132*g**2 - 29*g - 100 + 4*g**4 + 204 + 76*g**3 - 240 = 0.
-17, -2, -1, 1
Let v(l) = -6*l**5 + 19*l**4 + 146*l**3 - 13*l**2 - 110*l - 30. Let r(f) = -f**5 - f**4 + f**3 - f**2 + 1. Let b(m) = 6*r(m) + v(m). Find h such that b(h) = 0.
-3, -2/3, -1/4, 1, 4
Suppose 53*m - 56*m = -36. Suppose m*h + 12 = 16*h. Suppose 2/5*q**4 + 0 - 8/5*q**h + 0*q + 8/5*q**2 = 0. What is q?
0, 2
Let x = -2221 - -2224. Let t(y) be the first derivative of -6 + 825/4*y**4 + 0*y - 80*y**x + 10*y**2 - 121*y**5. Factor t(s).
-5*s*(s - 1)*(11*s - 2)**2
Suppose 538*u - 536*u - 60 = 0. Let n be 2/(-3) - u/(-45). Suppose -2*c**2 + n*c + 8/3 + 2/3*c**3 = 0. What is c?
-1, 2
Let q = -3057 + 3059. Let r(l) be the second derivative of 4*l**3 + 0 - 9*l - 1/3*l**4 - 18*l**q. Factor r(z).
-4*(z - 3)**2
Let x = 66 - 73. Let u = x + 12. Find g, given that -10*g**4 + 121 - 20*g**2 - 121 - 35*g**3 + 5*g**u = 0.
-1, 0, 4
Let d(w) = -10*w + 210. Let l be (1 - 2/4)/(188/7896). Let p be d(l). Factor -2/5*m**2 + p + 0*m + 1/5*m**3.
m**2*(m - 2)/5
Suppose -106*p + 86*p**3 - 40*p**2 + 14*p**3 + 84 - 44*p**4 - 119824415*p**5 + 119824421*p**5 = 0. Calculate p.
-1, 1, 2, 7/3, 3
Let w(n) be the second derivative of -13*n**5 + 0 + 160*n**2 - 680/3*n**3 + 93*n + 1285/12*n**4 + 1/2*n**6. Factor w(r).
5*(r - 8)**2*(r - 1)*(3*r - 1)
Let s(l) be the first derivative of -2*l**5/55 + 6*l**4/11 - 14*l**3/33 - 48*l**2/11 + 8*l - 1812. Find z such that s(z) = 0.
-2, 1, 2, 11
Suppose 106*p = 114*p - 16. Let k(i) be the first derivative of -16*i + p*i**2 + 14 - 1/12*i**3. Determine m so that k(m) = 0.
8
Let m(v) = -34*v - 654. Let h be m(-19). Let c be (-15)/(((-280)/(-7))/h). Solve -5/8*w**c - 1/8*w**2 + 3/8*w**4 + 5/8*w - 1/4 = 0.
-1, 2/3, 1
Suppose 611*k = 229*k. Let y(z) be the third derivative of k*z**4 + 5*z**2 + 0*z**3 + 0*z**5 + 0*z + 0 + 1/180*z**6. Factor y(h).
2*h**3/3
Find w such that 42*w**2 - 5*w**5 - 31*w**4 - 70*w**3 + 360*w - 35*w**4 + 21*w**4 + 138*w**2 = 0.
-6, -3, -2, 0, 2
Suppose 2*c = 5*r + 6, -c + 36 = 4*c - 2*r. Suppose -d = 6*h - 7*h, d + c = 3*h. Factor -5*o**3 - 5*o**4 - 5*o**5 - 8*o**d + 3*o**4.
-5*o**3*(o + 1)**2
Let m(v) be the second derivative of v**4/9 + 4*v**3 - 230*v**2/3 - 1308*v. Factor m(c).
4*(c - 5)*(c + 23)/3
Let q(p) = 14*p**3 + 1598*p**2 + 24256*p + 121522. Let k(d) = 3*d**3 + 355*d**2 + 5390*d + 27005. Let f(g) = -22*k(g) + 5*q(g). Factor f(y).
4*(y + 15)**3
Let g(j) be the first derivative of j**6/2 - 6*j**5 + 51*j**4/2 - 36*j**3 - 81*j**2/2 + 162*j - 1120. Determine f, given that g(f) = 0.
-1, 2, 3
Let p(c) be the third derivative of -c**8/30240 + c**7/630 + 13*c**6/1080 - 6*c**5/5 + 11*c**2. Let k(d) be the third derivative of p(d). Factor k(f).
-2*(f - 13)*(f + 1)/3
Let i(p) be the second derivative of 5/3*p**3 + 3*p + 1 - 1/2*p**5 - 1/6*p**6 + 5/12*p**4 + 0*p**2. Factor i(l).
-5*l*(l - 1)*(l + 1)*(l + 2)
Suppose -64*r + 62*r - 64 = 0. Let d be (-6)/(4*((-52)/r + -2)). Suppose 0*z + 0 - 2/9*z**2 - 2/3*z**d - 2/3*z**3 - 2/9*z**5 = 0. Calculate z.
-1, 0
Let o be 24/(-60) + (-2)/(-5). Suppose -2*m + 11 = s - 6*s, -m - s + 2 = o. Find k such that 10*k**2 + k**4 + k**4 + 2*k**3 + 3*k**m + 7*k**3 = 0.
-5, -1, 0
Let w = 4968 - 4966. Let o(v) be the second derivative of 0 + 1/20*v**4 - v - 9/100*v**5 - 1/25*v**6 + 3/10*v**3 + 3/10*v**w. What is d in o(d) = 0?
-1, -1/2, 1
Let q(z) be the first derivative of 2*z**3/9 - 67*z**2 - 404*z/3 + 8079. Factor q(h).
2*(h - 202)*(h + 1)/3
Let d(c) = 30*c - 208. Let y be d(7). What is w in 82*w**3 - 6*w**4 + 79*w**3 - 173*w**3 - w**5 - 3*w - 10*w**y + 0*w = 0?
-3, -1, 0
Let k(n) be the first derivative of -1/6*n**3 - 19 - 3/2*n - n**2. Factor k(m).
-(m + 1)*(m + 3)/2
Let c(w) be the first derivative of 11/10*w**4 + 4/5*w + 2*w**3 + 9/5*w**2 + 6/25*w**5 + 5. Factor c(y).
2*(y + 1)**3*(3*y + 2)/5
Let h(u) be the second derivative of u**5/100 - 47*u**4/120 - 8*u**3/15 - 70*u**2 - 158*u. Let n(s) be the first derivative of h(s). Factor n(l).
(l - 16)*(3*l + 1)/5
Let p(v) be the first derivative of 2*v**3/21 + 176*v**2/7 - 2944*v/7 - 13320. Solve p(c) = 0.
-184, 8
Find w such that 18/11*w**3 + 74/11*w + 12/11 + 120/11*w**2 = 0.
-6, -1/3
Let d(f) be the third derivative of f**7/42 - f**6/24 - f**5 + 35*f**4/6 - 40*f**3/3 + 1398*f**2. Solve d(w) = 0.
-4, 1, 2
Suppose 3*f + y = 15, -207 = -4*f + 4*y - 219. Suppose -5766/13*u - 2/13*u**f - 59582/13 - 186/13*u**2 = 0. Calculate u.
-31
Suppose 3*p - 29 = -3*z - 35, -2*z = 13*p - 18. Factor -1/2 + 1/2*y - 1/8*y**p.
-(y - 2)**2/8
Let q be (-37)/(-3) + (-15)/45 - 2. Factor -q*i**2 - 6*i**3 + 5*i**3 - 13*i**3 - 2*i**3 + i**3.
-5*i**2*(3*i + 2)
Let f be 46/(-897) + (-9877)/(-15912) + ((-44)/18 - -2). What is d in 13/2*d + 7/2 + 1/4*d**3 + 27/8*d**2 - f*d**4 = 0?
-2, -1, 7
Find k such that 5/3*k**4 + 20/3*k**3 - 5/3*k**2 - 20/3*k + 0 = 0.
-4, -1, 0, 1
Suppose 9*q = 8*q + 3. Suppose -q*u = 2*u. Find z such that -5*z + 6 + 2*z**2 + u*z - 3*z + 0*z = 0.
1, 3
Let v(l) be the second derivative of -1/60*l**5 - 1/12*l**4 + 1/18*l**3 + 1/2*l**2 + 63*l + 0. Let v(q) = 0. Calculate q.
-3, -1, 1
Determine d, given that -2/5*d**2 + 0 + 2*d = 0.
0, 5
Factor 5233*f**2 - 5223*f**2 - 22*f - 22*f - 21*f - 120.
5*(f - 8)*(2*f + 3)
Let u be (-299)/(-99) - (-220)/(-10890). Solve -72/7*s**5 - 90/7*s**2 - 3/7*s + 15*s**u + 114/7*s**4 + 6/7 = 0.
-1, -1/4, 1/3, 1/2, 2
Let -135/2*g**3 - 112789/2*g + 238521 + 6321/2*g**2 + 1/2*g**4 = 0. What is g?
6, 43
Let k(u) = 3*u**2 - 2. Let q(i) = -3*i**3 - 498*i**2 + 3*i + 503. Let p(d) = 5*k(d) - q(d). Factor p(l).
3*(l - 1)*(l + 1)*(l + 171)
Let s(k) be the third derivative of -5*k**7/126 + k**6/72 + 454*k**5/45 + 361*k**4/18 + 16*k**3 - 87*k**2 + 20. Solve s(m) = 0 for m.
-8, -2/5, 9
Suppose 61 - 133 = 36*k. L