 1076*m = 0. What is m?
4, 7
Suppose -5*q + 85 = -0*q. Suppose 3*d - q = -5. Determine m, given that d*m**2 + 57 - 57 + 8*m = 0.
-2, 0
Suppose 4*a + 132 = 2*m, -2*m + 2*a + 18 = -118. Let x be (7/m*-15)/((-6)/8). Factor 15/2 - 5/6*t**x - 20/3*t.
-5*(t - 1)*(t + 9)/6
Let y(q) = 2*q + 10. Let w be y(-4). Factor 4*s - 9*s + w*s + 3*s**3.
3*s*(s - 1)*(s + 1)
Let h(x) = -x**3 + x**2 + 9. Let b(r) = 32*r**3 - 416*r**2 + 3836*r - 1670. Let t(j) = 2*b(j) + 44*h(j). What is v in t(v) = 0?
2/5, 16, 23
Suppose -72*n + 52*n = -80. Let m = 63 + -39. Factor 15*z**2 + 15*z**2 + 50*z - m*z**3 + 6*z**3 + 2*z**n.
2*z*(z - 5)**2*(z + 1)
Suppose 0 = 3*c - 2*c + 4*w - 15, -3*w = 4*c - 8. Let i be ((-12)/210)/(c/80). What is z in -16/7 - 4/7*z**3 - 20/7*z**2 - i*z = 0?
-2, -1
Factor -112*n**2 - 4*n**3 + 182*n**2 - 102*n**2 + 1 + 15 - 36*n + 56.
-4*(n - 1)*(n + 3)*(n + 6)
Suppose a + 76 + 127 = 3*k, a - 127 = -2*k. Let -k + 66 + 3*b**2 - 9*b + 7*b - b**3 = 0. Calculate b.
0, 1, 2
Let d be 5 + 6 + -8 + -1. Find r such that -40*r**2 + 3*r**4 + 0*r**4 + 16*r**d + 6*r**2 - 3*r**3 = 0.
-2, 0, 3
Factor -12*q + 0 + 1/2*q**4 + 13*q**2 - 9/2*q**3.
q*(q - 4)*(q - 3)*(q - 2)/2
Suppose 0 = 9*f - 221 - 436. Let g = 8 + 55. Suppose 3 + 144*z**2 - g*z**2 - 12*z + 1 - f*z**2 = 0. Calculate z.
1/2, 1
Let a(d) = d**3 - 44*d**2 - 3*d + 40. Let j(q) = -3*q**3 + 177*q**2 + 12*q - 159. Let t(s) = 9*a(s) + 2*j(s). Determine l so that t(l) = 0.
-1, 1, 14
Let c(l) be the first derivative of l**9/3024 - l**8/420 + l**7/168 - l**6/180 + 7*l**3 + 80. Let k(d) be the third derivative of c(d). Factor k(y).
y**2*(y - 2)*(y - 1)**2
Let i(u) be the third derivative of 0 - 1/80*u**6 - 1/30*u**5 + 0*u**3 + 1/420*u**7 - 50*u**2 + 0*u**4 + 0*u. Suppose i(a) = 0. What is a?
-1, 0, 4
Let c(p) = 10*p**2 + 120*p + 95. Let k(r) = 9*r**2 + 116*r + 95. Let f(a) = -4*c(a) + 5*k(a). Find z, given that f(z) = 0.
-19, -1
Suppose -22*u + 45*u - 3*u = -88*u. Find w such that 3/2*w**4 + u - 9*w**3 + 27/2*w**2 - 6*w = 0.
0, 1, 4
Let c be 6005/2410 - ((-15)/10 + 4). Let v = c - -496/1687. Let 0 + 2/7*n**2 + v*n = 0. What is n?
-1, 0
Let w = -2116962/2762107 - -332/433. Let d = w - -1428878/57411. Find g, given that 46/9*g + 176/9*g**2 + 4/9 + d*g**3 = 0.
-2/7, -1/4
Determine x, given that 92/5*x**2 - 22/5*x**3 + 94/5*x - 4 = 0.
-1, 2/11, 5
Let i(n) be the second derivative of -3/20*n**5 - 5/4*n**4 + 1/10*n**6 - 12 - 3/2*n**3 + 2*n + 0*n**2. Factor i(p).
3*p*(p - 3)*(p + 1)**2
Let w(h) = h**3 - 2*h**2 + h - 1. Let p(i) = -12*i**3 - 52*i**2 - 20*i - 10. Let u(j) = -p(j) + 6*w(j). Solve u(v) = 0.
-1, -2/9
Let j(y) be the second derivative of -y**5/5 + 20*y**4/3 - 56*y**3 - 367*y. Solve j(i) = 0 for i.
0, 6, 14
Let a(o) be the first derivative of -5 - o**2 - 8/255*o**5 - 2/51*o**4 - 1/51*o**3 + 0*o. Let j(s) be the second derivative of a(s). What is g in j(g) = 0?
-1/4
Let p(k) be the second derivative of 0*k**2 - 1/30*k**6 - 221*k + 0*k**3 + 0 - 7/20*k**5 + 2/3*k**4. Factor p(a).
-a**2*(a - 1)*(a + 8)
Let k = -539635 - -3777447/7. Solve -10 - 72/7*s - k*s**2 = 0.
-35, -1
Let h(n) be the first derivative of -n**5/5 + n**4/4 - n - 37. Let x(s) = 8*s**4 + 27*s**3 + 55*s**2 + 30*s + 3. Let r(j) = 3*h(j) + x(j). Solve r(o) = 0.
-3, -2, -1, 0
Let v = -471/2 + 236. Let g(n) be the second derivative of 0 - 7*n + v*n**3 + 1/4*n**4 + 0*n**2. Suppose g(h) = 0. What is h?
-1, 0
Let c(r) be the second derivative of -2*r**7/147 + 8*r**6/105 + 27*r**5/35 + 38*r**4/21 + 32*r**3/21 + 2846*r. Suppose c(u) = 0. Calculate u.
-2, -1, 0, 8
Factor -1/2*x**2 - 39/2*x - 54.
-(x + 3)*(x + 36)/2
Let k(u) be the third derivative of -u**6/420 - 253*u**5/210 - 503*u**4/84 - 251*u**3/21 + 317*u**2. Let k(y) = 0. What is y?
-251, -1
Let 0*n + 0 - 60/11*n**3 - 2/11*n**4 - 112/11*n**2 = 0. What is n?
-28, -2, 0
Let z be 48/88 - (-1672)/484. Let k(l) be the second derivative of -3*l + 0*l**2 + 3/2*l**3 + 1/12*l**z + 0. Find w such that k(w) = 0.
-9, 0
Let c be -2 - 10/20*-12. Suppose -c*l = -5*h + 156, -5*l + 197 - 32 = 5*h. Solve -32/3 + 18*q**4 - 18*q**5 - h*q + 48*q**3 - 16/3*q**2 = 0 for q.
-2/3, 1, 2
Let t(o) be the third derivative of -o**8/672 - o**7/21 - 7*o**6/24 - 5*o**5/6 - 65*o**4/48 - 4*o**3/3 + o**2 - 4. Let t(l) = 0. Calculate l.
-16, -1
Suppose 0 + 1492/5*g**2 - 2/5*g**3 - 278258/5*g = 0. Calculate g.
0, 373
Factor -2/3*f**2 + 0 + 110/3*f.
-2*f*(f - 55)/3
Let v = 9 - 23. Let t = v + 16. Suppose 6*s**5 - 4*s**5 - 48*s**t - 25*s + 2*s**5 + 52*s**3 + 41*s - 24*s**4 = 0. Calculate s.
0, 1, 2
Let n be 21 - 1*1215/60. Solve 3*a**3 + n*a**4 + 0 + 9/2*a - 33/4*a**2 = 0 for a.
-6, 0, 1
Let r(l) = -l**3 + 23*l**2 + 28*l - 44. Let b be r(24). Let h = -36 + b. Factor -h*j + 48 - 6*j - 17*j + 4*j**2 + 7*j.
4*(j - 6)*(j - 2)
Let k(q) be the third derivative of q**7/70 - 53*q**6/40 + 39*q**5 + 50*q**4 - 28000*q**3 + 302*q**2. Factor k(m).
3*(m - 20)**3*(m + 7)
Let l = 119 - 159. Let m be ((-1)/7)/(l/56). Determine p, given that m*p**2 + 1/5 + 2/5*p = 0.
-1
Let w be -1*6 + (1 - -8). Factor 3905*r**2 - r**3 - 7*r + w - 3900*r**2 + 0.
-(r - 3)*(r - 1)**2
Let k(d) be the third derivative of -d**5/2 - 49*d**4/12 + 64*d**3/3 - 272*d**2 - 8. Factor k(r).
-2*(r - 1)*(15*r + 64)
Let x(i) be the third derivative of -i**7/756 - 31*i**6/810 - 2*i**5/45 + 11*i**3/2 + 36*i**2. Let h(c) be the first derivative of x(c). Factor h(u).
-2*u*(u + 12)*(5*u + 2)/9
Let h be -2 - -4 - 0/(0 + -2). Suppose 16*s**h + 105*s**3 + 39*s**2 + 20*s**5 - 5*s**4 - 165*s**3 - 10*s = 0. Calculate s.
-2, 0, 1/4, 1
Let d = 676456/7 - 96633. Factor 24/7*z + d*z**2 - 1/7.
(z + 1)*(25*z - 1)/7
Let g(l) = l**3 + 7*l**2 - l - 5. Let x be g(-6). Suppose 2*r**2 + 18*r + x + 26 - 23 = 0. What is r?
-5, -4
Let o(r) be the third derivative of 17*r - 16/15*r**5 + 0*r**4 + 1/30*r**6 + 0*r**3 + 0 - r**2. Solve o(b) = 0 for b.
0, 16
Let z = 16139 - 16137. Let c(x) be the second derivative of 42*x + 0 + 0*x**4 + 0*x**z + 0*x**3 - 1/6*x**6 + 1/2*x**5. Factor c(t).
-5*t**3*(t - 2)
Let d(o) = 5*o**3 + 6*o**2 + 25*o + 20. Let l(a) = -a**3 + a**2 + a. Let z = 163 + -167. Let t(x) = z*l(x) - d(x). Factor t(u).
-(u + 1)*(u + 4)*(u + 5)
Suppose -g + 63 = 199*m - 194*m, 0 = 2*g - 6*m + 66. Factor -2/13*f - 2/13*f**g + 0 + 4/13*f**2.
-2*f*(f - 1)**2/13
Let -188/5*f**3 + 14/5*f**5 + 12392/5*f**2 - 15378/5*f + 3388/5 - 228/5*f**4 = 0. What is f?
-7, 2/7, 1, 11
Let c = 53 + -33. Let m be 6/5 - (-8232)/140. Factor c*z**2 + m*z**4 + 54*z**4 - 119*z**4.
-5*z**2*(z - 2)*(z + 2)
Let u = -2375410/63 - -339406/9. Factor -u + 4*p - 4/7*p**2.
-4*(p - 4)*(p - 3)/7
Let r(u) be the first derivative of 2/57*u**3 - 14 + 4/19*u + 3/19*u**2. Factor r(o).
2*(o + 1)*(o + 2)/19
Let k(c) be the second derivative of 3*c**6/4 - 321*c**5/40 - 241*c**4/8 - 101*c**3/4 + 27*c**2/2 + 2*c + 162. Find q, given that k(q) = 0.
-1, 2/15, 9
Suppose 411*j - 8912 + 59*j**2 + 8948 + 199*j**2 = 0. What is j?
-3/2, -4/43
Let d = 13/588 - -169279/2940. Factor d*m + 126/5*m**2 - 147/5*m**3 + 96/5.
-3*(m - 2)*(7*m + 4)**2/5
Let m be (-4)/10*(-5 + 14 - 1634/76). Let j(p) be the third derivative of 0 + 0*p - 1/40*p**m - 1/160*p**6 + 0*p**4 + 32*p**2 + 0*p**3. Factor j(b).
-3*b**2*(b + 2)/4
Let a be 6/12*-10 - -5 - 204. Let n be ((-68)/a)/((-1)/(-12)). Let -6/19*z**2 + 16/19*z - 4/19*z**3 + 2/19*z**n - 8/19 = 0. Calculate z.
-2, 1, 2
Let t(g) be the first derivative of -g**4 - 116*g**3/3 - 240*g**2 - 4133. Solve t(p) = 0 for p.
-24, -5, 0
Suppose o - 2261 = -3*z, 3*z - o - 1578 = 691. Suppose -750*m = -z*m. Determine d so that m + 8/7*d - 2/7*d**3 + 0*d**2 = 0.
-2, 0, 2
Suppose 0 = 5*a - 3*i - 31, -a - 743*i = -748*i - 37. Factor -12/5*l - 16/5 - 2/5*l**a.
-2*(l + 2)*(l + 4)/5
Let l be (9/12)/(966/(-736)*(-20)/(-3) + 10). Factor l*k + 1/5*k**2 + 2/5.
(k + 1)*(k + 2)/5
Let r(v) = 2*v**2 - v**2 - 2 + 2*v**2 - v - 2. Let w(t) = 7996 + 2*t**2 - 7996 - 6*t**2 - t + 3*t**2. Let m(z) = -5*r(z) - 10*w(z). Factor m(a).
-5*(a - 4)*(a + 1)
Suppose 4*x + 3*k = 0, x = -3*x - 5*k - 8. Factor 558*i**x - 8 + 16*i - 276*i**3 - 10*i**2 - 280*i**3.
2*(i - 2)**2*(i - 1)
Let g(k) be the first derivative of k**5/10 - 3*k**4/2 - k**3/6 + 3*k**2 + 2254. Factor g(n).
n*(n - 12)*(n - 1)*(n + 1)/2
Let d(v) be the first derivative of v**3/21 - v**2/7 - 440*v/7 + 12828. Factor d(t).
(t 