**3 + g**2 - g. Let s(m) = 20*m**4 - 28*m**3 - 2*m**2 + 10*m. Let y(u) = d*s(u) + 36*k(u). Factor y(q).
4*q*(q - 2)**2*(q - 1)
Let z(a) = 30 + 35 - 20 + 15*a + 6*a. Let g be z(-2). Factor -1/2*c + 1/2*c**4 + 0 + 1/2*c**g - 1/2*c**2.
c*(c - 1)*(c + 1)**2/2
Let f(l) = -7*l**2 + 5*l + 215. Let r(q) = -9*q**2 + 6*q + 212. Let z(v) = 4*f(v) - 3*r(v). Factor z(d).
-(d - 16)*(d + 14)
Let b(n) = -79*n**3 - 10*n**2 + 34. Let w(a) = 28*a**3 + 2*a**2 - 12. Let f(g) = 6*b(g) + 17*w(g). Solve f(s) = 0 for s.
0, 13
Let n(c) = c**2 - 2*c - 6. Let k be n(-2). Suppose -4*o + 0*o + 32 = 0. Solve -45*w**k + 101*w**2 + o*w**3 + 2*w**4 - 48*w**2 = 0.
-2, 0
Determine i so that 268*i**2 + 308*i - 283 - 717 + 4*i**3 + 192*i - 348*i**2 = 0.
5, 10
Let k be 18626/29885 + (-4)/172. Let -33/5*r**2 + 0*r - k*r**5 + 0 + 63/5*r**3 - 27/5*r**4 = 0. Calculate r.
-11, 0, 1
Let d be -2*2*(17/(-8) + (20 - 28) + 10). Factor -16*l - d*l**3 - 14 - 11/2*l**2.
-(l + 2)**2*(l + 7)/2
Let u(v) = 3*v**3 - 22*v**2 + 7*v + 14. Let g(b) = -6*b**3 + 44*b**2 - 15*b - 28. Let n = 396 + -394. Let q(r) = n*g(r) + 5*u(r). Factor q(x).
(x - 7)*(x - 1)*(3*x + 2)
Let z be 28/2 - (-24)/(-8). Suppose 53 = z*i + 9. Find v such that -i*v**2 + 3*v**2 + v**3 + 4*v**2 = 0.
-3, 0
Let u be 6/(-4)*(-18)/27. Let l = u - -3. Let -2*s + 4*s**2 + 2*s**3 + 9 - 9 - 6*s**2 + 2*s**l = 0. What is s?
-1, 0, 1
Let t(v) be the second derivative of 0 + 476656/21*v**3 - 1/210*v**6 + 18*v - 7388168/7*v**2 - 1922/7*v**4 + 62/35*v**5. Find n such that t(n) = 0.
62
Factor 0 + 168921/4*r + 1/4*r**3 + 411/2*r**2.
r*(r + 411)**2/4
Let h(p) be the second derivative of -100/3*p**2 - 55/9*p**3 + 3*p + 2 - 5/36*p**4. Determine l so that h(l) = 0.
-20, -2
Let s be (-2)/(-14)*(46 + -25). Let d(g) be the first derivative of 33 + 0*g - 1/14*g**4 - 1/7*g**2 + 4/21*g**s. Let d(r) = 0. Calculate r.
0, 1
Let v = 573 + -570. Factor 40*x + 2*x**3 + 6*x**4 + 54*x**2 + 113*x**2 + x**4 + 84*x**3 - v*x**2.
x*(x + 2)*(x + 10)*(7*x + 2)
Suppose -3*w + 14 = -4*q, 5*w - 3*w = q + 6. What is i in 9*i - w*i**2 - 19*i + 28 + 11*i + 9*i = 0?
-2, 7
Factor 135*y - 148 - 442*y - 4*y**2 + 86*y + 2*y**2 + 71*y.
-2*(y + 1)*(y + 74)
Suppose -3*c = -2*r + 13, -c - 13 = -5*r - 0*c. Suppose b - 5 = -r. Suppose 80*o**2 - 28*o**b - 66*o**3 + 16*o + 194*o**3 = 0. Calculate o.
-2/5, 0
Let u be (-756)/(-84) - (913/99 + 12/(-27)). Find k such that -2/3*k**2 + 2/9*k + u*k**4 - 2/9*k**3 + 4/9 = 0.
-1, 1, 2
Suppose 0 = -16*j - 77 + 109. Factor 36*x + 2890*x**j - 5778*x**2 + 2884*x**2 - 80.
-4*(x - 5)*(x - 4)
Let n(z) = -37*z**2 + 347*z - 1385. Let m(v) = 9*v**2 - 87*v + 348. Let x(g) = -25*m(g) - 6*n(g). Factor x(t).
-3*(t - 26)*(t - 5)
Solve 1804016/5*y**2 + 6/5*y**4 + 0 - 600608/5*y - 6578/5*y**3 = 0 for y.
0, 1/3, 548
Let o be (2 + 3 + -10)*(-8)/10. Let x(b) be the first derivative of 3/4*b**o - 2*b + 7/2*b**2 - 10 - 8/3*b**3. Factor x(l).
(l - 1)**2*(3*l - 2)
Let s = 81 - 161. Let p = s - -119. Suppose -24*h**3 - 33*h**2 - 6 + p*h**4 - 119*h**5 + 39*h + 203*h**5 - 99*h**3 = 0. Calculate h.
-1, 1/4, 2/7, 1
Let o(v) = v**5 - 2*v**4 + v**3 + v - 1. Let k(g) = -g**5 + 4*g**4 - 15*g**3 + 12*g**2 - 2*g + 2. Let j(i) = k(i) + 2*o(i). Factor j(t).
t**2*(t - 3)*(t - 1)*(t + 4)
Solve 1/9*g**5 - 36125/9 + 19/9*g**4 - 146/9*g**3 + 17425/9*g - 1910/9*g**2 = 0 for g.
-17, 5
Let b(z) be the second derivative of -z**6/90 - 11*z**5/6 + 28*z**4/3 + 93*z**3/2 + 2*z + 82. Let k(w) be the second derivative of b(w). Factor k(p).
-4*(p - 1)*(p + 56)
Let r(b) be the first derivative of b**4/12 + 4*b**3/9 + b**2/2 + 2117. Factor r(p).
p*(p + 1)*(p + 3)/3
Let k(w) be the first derivative of 2/27*w**6 + 0*w**4 + 2/9*w**5 - 2/9*w**2 - 46 + 0*w - 10/27*w**3. Solve k(x) = 0 for x.
-2, -1, -1/2, 0, 1
Suppose 0 - 6 = p. Let a = p + 9. Factor 13*g**2 - 2*g**3 - 3*g**2 + 0*g**a.
-2*g**2*(g - 5)
Let a be 9/1*4/3. Let c = -19 - -35. Suppose -a*u**2 + 4 - u**3 - 4 - u**3 - c - 24*u = 0. What is u?
-2
Suppose -289 = -11*c + 415. Determine z so that 55*z**2 - 80*z - c + 337*z**2 + 5*z**4 - 356*z**3 + 117*z**4 - 14*z**5 = 0.
-2/7, 1, 2, 4
Let l = 259 - 149. Let 3 + l*c**3 - 112*c**3 - 4*c**2 + 18*c + 1 - 16*c = 0. What is c?
-2, -1, 1
Factor -12*j**2 - 27*j**2 - 6*j**5 + 995*j**3 + 15*j - 968*j**3 + 3*j**4.
-3*j*(j - 1)**3*(2*j + 5)
Let o be ((-768)/(-56) - 18)/(1 - (-10)/(-4)). Solve o - 2/7*j**2 + 6/7*j = 0.
-2, 5
Suppose p = 5*p - 36. Suppose -297 = -p*y - 90*y. What is j in -40/3*j**2 + 28*j**y + 0 - 98/9*j**4 + 16/9*j = 0?
0, 2/7, 2
Let m be (224/(-84))/(-15 - -9). Let i(w) be the first derivative of 0*w - 10/3*w**2 - 47 + m*w**3. Determine k so that i(k) = 0.
0, 5
Suppose 0 = -5*w + n - 303, 6*w - 5*w + 4*n + 69 = 0. Let j = w + 71. Factor 2*i**4 - j*i**4 + 8*i**2 - 47*i**5 + 4*i + 43*i**5.
-4*i*(i - 1)*(i + 1)**3
Suppose -184*y + 40 + 152 = -176. Let n(g) be the third derivative of -5/12*g**4 - 1/30*g**5 - 39*g**y + 0*g + 0 + 0*g**3. Solve n(r) = 0 for r.
-5, 0
Let o be (-49)/(-112)*8*(-24)/(-7). Let n be (18/o)/(30/50). Suppose 0 - n*u**4 - 7/2*u**2 - 1/2*u**5 - u - 9/2*u**3 = 0. Calculate u.
-2, -1, 0
Factor -5677*m**2 - 6*m**4 + 115*m**2 + 167*m**3 + 5*m**4 - 1656*m**2 - 13448 + 20500*m.
-(m - 82)**2*(m - 2)*(m - 1)
Solve 2076/5 + 3/5*l**3 - 102*l**2 - 1569/5*l = 0.
-4, 1, 173
Let v(x) = -9*x**2 + 2*x. Let c(s) = 112*s**2 + 44*s + 208. Let t(w) = c(w) + 12*v(w). Factor t(q).
4*(q + 4)*(q + 13)
Let q(i) be the second derivative of -i**4/18 - 299*i**3/9 + 100*i**2 - i + 2042. Suppose q(s) = 0. Calculate s.
-300, 1
Solve 78*a + 176*a**3 - 252*a**2 + 52275*a**4 - 14*a - 52263*a**4 = 0.
-16, 0, 1/3, 1
Let f be (-6)/4 + 1 + (-3)/(-6). Suppose f = 81*q - 80*q - 4. Factor 6*n**3 - 1 - 205*n + 199*n - 2 + 3*n**4 + 0*n**q.
3*(n - 1)*(n + 1)**3
Suppose -8*a - 161 = -37*a - 45. Let o(f) be the second derivative of -5/6*f**3 - 10*f + 0 + 1/4*f**5 - 1/6*f**6 - 5*f**2 + 5/4*f**a. Factor o(m).
-5*(m - 2)*(m - 1)*(m + 1)**2
Let g(s) be the third derivative of -s**8/1008 + 106*s**7/315 - 409*s**6/60 + 303*s**5/5 - 2409*s**4/8 + 900*s**3 - 70*s**2 - 53. Solve g(i) = 0 for i.
3, 200
Factor -80 - 288*t + 16*t**3 - 148*t**2 + 13*t**3 + 20*t**3 - 61*t**3.
-4*(t + 2)*(t + 10)*(3*t + 1)
Let y(m) be the third derivative of m**7/490 - 31*m**6/140 + 87*m**5/35 - 85*m**4/7 + 32*m**3 + 10*m**2 - 44*m. Factor y(g).
3*(g - 56)*(g - 2)**3/7
Let h(i) be the second derivative of 1/14*i**7 + 0 + 3/20*i**5 + 0*i**3 + 72*i + 0*i**2 - 1/5*i**6 + 0*i**4. Let h(p) = 0. Calculate p.
0, 1
Let i(f) be the first derivative of 9*f**4/10 + 91*f**3/15 - 103*f**2/10 - 6*f/5 - 444. Find n such that i(n) = 0.
-6, -1/18, 1
Suppose 5*l = -2*y + 7, l - 3*l = -5*y + 3. Let q be (-3 + (-45)/(-6))*(1 + l). Find k such that q - 12*k**2 + 4*k - 10*k + 6*k**3 - 7*k**4 + 10*k**4 = 0.
-3, -1, 1
Determine i, given that -2*i - 1456*i**4 - 12 - 1457*i**4 + 2905*i**4 + 20*i**2 - 2*i**5 + 4*i**5 = 0.
-1, 1, 2, 3
What is l in 0 - 320/3*l - 1448/9*l**2 - 164/3*l**3 - 4/9*l**4 = 0?
-120, -2, -1, 0
Let z be -9*320/(-720)*3*1/4. Factor -4*i**z + 2*i + 1/2*i**4 + 15/2*i**2 - 10.
(i - 5)*(i - 2)**2*(i + 1)/2
Let j(h) = -h**2 - h - 19*h**2 + 445 + h**3 - 421. Let u be j(20). Let z**4 + 16*z - 4*z**3 - 16*z**2 + 0*z + 3*z**u = 0. Calculate z.
-2, 0, 1, 2
Suppose 0 = -2*u + 3*z - 14, 0 = 5*u + z + 10 - 26. Let w(s) be the second derivative of 9*s + 0*s**u + 1/6*s**3 + 0 - 1/12*s**4. Factor w(q).
-q*(q - 1)
Suppose -5*r - 3*c = -3270, 7*c - 4*c + 2643 = 4*r. Factor -r*y + 1318*y + 2*y**2 - 643*y + 16.
2*(y + 1)*(y + 8)
Suppose 4*m + 3*j - 4 - 11 = 0, -5*m + 2*j = -13. Factor -15*a**2 - 2*a**3 + 44 - m*a**2 + 172.
-2*(a - 3)*(a + 6)**2
Let y(u) = 2*u**3 + 27*u**2 - 251*u + 522. Let k(c) = 3*c**3 + 26*c**2 - 249*c + 520. Let g(b) = 3*k(b) - 4*y(b). Factor g(j).
(j - 16)*(j - 11)*(j - 3)
Suppose 26*m - 28 = 19*m. Factor 641 - 168*t + 1234 - 159 + 48 + m*t**2.
4*(t - 21)**2
Let g(x) be the third derivative of 0*x - 4/15*x**5 + 14*x**2 + 1/60*x**6 + 0 - 2*x**3 + 13/12*x**4. Factor g(l).
2*(l - 6)*(l - 1)**2
Let s(v) be the third derivative of -1/3*v**3 - 4 - 1/120*v**5 - 9*v**2 + 5/48*v**4 + 0*v. Factor s(i).
-(i - 4)*(i - 1)/2
Let p(q) = -15*q**2 + 4*q. Let k(n) = -78*n**2 + 21*n. Suppose 5*h - 3*h + 12 = 2*d, 69 = -4*h - 5*d. Let a(m) = h*p(m) + 2*k(m). Factor a(l).
l*(9*l -