t b = -20 - -43. Let y = -20 + b. Find p such that 4*p**4 - 7*p - 18 + 2*p + 3*p**y - 4*p**3 + 20 - 12*p**2 = 0.
-1, 1/4, 2
Let r(t) = t**3 + 5*t**2. Let p be r(-3). Let q be (18 - p)/(0 - (2 - 1)). Suppose -3*l**3 + q*l**3 - 12*l + 3*l**2 + 5*l + 25*l = 0. Calculate l.
-2, 0, 3
Let h(p) = 2*p**3 + 4*p**2 - 21*p + 10. Let y be h(2). Let o(s) be the first derivative of y*s - s**4 + 2/3*s**3 - 2/5*s**5 + 19 + 2*s**2. Factor o(m).
-2*m*(m - 1)*(m + 1)*(m + 2)
Let p(z) be the second derivative of z**4/30 - 476*z**3/5 + 509796*z**2/5 + 911*z. Let p(a) = 0. What is a?
714
Determine n so that 1/5*n**4 + 11*n**3 + 0*n + 0 + 54/5*n**2 = 0.
-54, -1, 0
Let z(s) be the first derivative of s**6/24 + s**5/2 - 3*s**4/2 + s**3/6 + 23*s**2/8 - 3*s - 3597. Factor z(k).
(k - 1)**3*(k + 1)*(k + 12)/4
Let d be -8*(-44)/176 + 70/85*3. Find x such that 0 - 2/17*x**2 - d*x = 0.
-38, 0
Suppose -3*u + 2*u - 5*b = 120, 0 = 5*u + 2*b + 65 - 17. Let y = 263/190 - 7/38. Factor -4/5 + u*t**2 + y*t - 2/5*t**3.
-2*(t - 1)**2*(t + 2)/5
Let j be 2/((-12)/24 + (-6)/(-4)). Let h(b) be the first derivative of b**j + 2/9*b**3 + 0*b - 7. Let h(v) = 0. What is v?
-3, 0
Let x(v) = -v**3 - 1. Suppose -o + 12 = j, -3*j - j + 61 = 5*o. Let k(h) = 1 + 4*h - 12*h**2 + o + 8 + 6*h**3. Let z(t) = k(t) + 10*x(t). Factor z(a).
-4*(a - 1)*(a + 1)*(a + 3)
Let h = -14827 - -14841. Let l(k) be the second derivative of h*k + 16*k**2 + 2*k**4 + 1/5*k**5 + 0 + 8*k**3. Factor l(w).
4*(w + 2)**3
Let f = 3633/15908 - -86/3977. Suppose 1/4*y**2 + 1/8*y - f*y**4 + 0 + 0*y**3 - 1/8*y**5 = 0. What is y?
-1, 0, 1
Let w(q) be the second derivative of q**5/20 + 3*q**4 + 275*q**3/6 - 156*q**2 - 109*q + 5. Factor w(s).
(s - 1)*(s + 13)*(s + 24)
Let v(r) = 11*r**3 - 122*r**2 - 695*r + 798. Let z(f) = 7*f**3 - 81*f**2 - 462*f + 531. Let b(l) = 5*v(l) - 8*z(l). Factor b(y).
-(y - 43)*(y - 1)*(y + 6)
Let h be 29/(((-2)/(-5))/(244/305)). Let h*s - 7 - 16/7*s**4 + 232/7*s**3 - 897/7*s**2 = 0. Calculate s.
1/4, 7
Let p(x) be the first derivative of x**4/16 + 76*x**3/3 - 921*x**2/8 - 2578. Factor p(g).
g*(g - 3)*(g + 307)/4
Let u(x) be the first derivative of -x**7/7140 + x**6/340 - 7*x**5/510 - 2*x**4/17 - 20*x**3 + 2*x - 2. Let s(z) be the third derivative of u(z). Factor s(a).
-2*(a - 6)*(a - 4)*(a + 1)/17
Suppose -y - 50 = 4*c - 17, 2*y + 4*c + 50 = 0. Let b = y - -20. Determine s so that 2*s**b + 3*s**5 - s**5 - 351*s**2 - 4*s**3 + 349*s**2 + 2*s**4 = 0.
-1, 0, 1
Factor 1248/7*q**2 + 0 + 57/7*q**3 - 132/7*q.
3*q*(q + 22)*(19*q - 2)/7
Suppose -3*o = 5*q - 9 - 8, -4*o = 3*q - 19. Suppose -4*h + 22 = 2*n, o*n - 8*n + 4 = 0. What is r in -4 + 35*r**2 - 4 + h*r**3 + 55*r + 33 = 0?
-5, -1
Let i(k) be the third derivative of 160*k**2 + 13/18*k**3 + 1/720*k**6 - 13/180*k**5 + 0 - 1/144*k**4 + 0*k. Determine w so that i(w) = 0.
-1, 1, 26
Suppose -36*k - 18*k**5 + 17*k**5 - 400 + 400 - 69*k**2 - 10*k**4 + 9*k**2 - 37*k**3 = 0. Calculate k.
-3, -2, 0
Let q(o) be the second derivative of o**6/90 + 37*o**5/60 + 221*o**4/36 + 335*o**3/18 + 25*o**2 + 1020*o. Find l such that q(l) = 0.
-30, -5, -1
Suppose 0 = -19*d + 21 + 36. Suppose -10582*l - 3*l**4 + 6*l**d + 10582*l = 0. Calculate l.
0, 2
Let x(k) = 20*k - 76. Let u be x(5). Suppose u*p - 15 = 21*p. Factor -2/7*t + 0*t**2 + 4/7*t**3 + 0*t**4 + 0 - 2/7*t**p.
-2*t*(t - 1)**2*(t + 1)**2/7
Let a(r) be the second derivative of r**6/70 + 3*r**5/10 + 13*r**4/28 - 583*r + 2. Factor a(t).
3*t**2*(t + 1)*(t + 13)/7
Let u = -567 + -2612. Let h = u - -5509. Factor h*r**5 - 20*r**4 + 36*r - 2334*r**5 - 4*r - 24*r**3 + 16*r**2.
-4*r*(r - 1)*(r + 2)**3
Let w(a) = 17*a**2 + 1242*a - 36. Let g(l) = 155*l**2 + 11175*l - 330. Let u(x) = 6*g(x) - 55*w(x). Find i, given that u(i) = 0.
-252, 0
Let k be ((-88)/385)/(80/(-100)). Solve -8/7*j - 16/7 + k*j**3 + 4/7*j**2 = 0.
-2, 2
Let f(u) = 9*u**2 - 35*u + 41. Let d be 5/(-20)*-20 - 4. Let o(m) = -2*m**2 - 1. Let z(n) = d*f(n) + 5*o(n). What is w in z(w) = 0?
-36, 1
Suppose 309*t - 1068 = 42*t. Factor 20*v**t + 5760*v**2 - 480*v**3 - 1/3*v**5 - 34560*v + 82944.
-(v - 12)**5/3
Let k(q) = -q**2 + 17*q + 62. Let r be k(20). What is t in 3*t**3 - 5 + 5*t**r - 5*t**3 + t**3 + t = 0?
-1, 1, 5
Let w(a) = a - a**2 - 25*a**3 - 3*a**2 + 26*a**3 + 2*a + 3. Let u be w(3). Solve -2/5*l**2 + 0 + 4/5*l - 4/5*l**u + 2/5*l**4 = 0 for l.
-1, 0, 1, 2
Let n(w) = -2*w**2 + 29*w - 89. Let s(k) = -21*k**2 + 286*k - 891. Let x(z) = -62*n(z) + 6*s(z). Factor x(t).
-2*(t - 2)*(t + 43)
Find c, given that -348*c - 42 + 32/3*c**4 - 560/3*c**3 - 2302/3*c**2 = 0.
-3, -1/4, 21
Let t(g) = -14*g**2 + 62*g - 69. Let q(x) = -24*x**2 + 126*x - 137. Let p(d) = -3*q(d) + 5*t(d). Suppose p(f) = 0. Calculate f.
1, 33
Let u(a) be the first derivative of -a**6/12 + 3*a**5/10 + 47*a**4/8 - 29*a**3/2 - 149*a**2/2 - 84*a + 1642. Solve u(b) = 0 for b.
-6, -1, 4, 7
Let a(p) be the third derivative of 0*p**3 + 0*p + 0*p**4 + 0 - 1/110*p**5 - 1/330*p**6 - 2*p**2 + 1/1155*p**7. Let a(j) = 0. Calculate j.
-1, 0, 3
Let m be 250/(-1125) + 3*(-549)/(-486). Let m*j - 1/6*j**3 + 4 - j**2 = 0. Calculate j.
-8, -1, 3
Let p be (17/(-8) + 2/16)/(-1012). Let x = p - -6065/3542. Find o such that -9/7 + 30/7*o**2 - 3*o**4 + 12/7*o**3 - x*o = 0.
-1, -3/7, 1
Suppose -95 = 5*m + 3*d, -5*m - d - 36 = 69. Let f be (8*(-1)/m)/1. Factor -2/11*v**2 + f*v + 6/11.
-2*(v - 3)*(v + 1)/11
Let y(z) be the first derivative of z**3/12 + 19*z**2/8 + 21*z - 3607. Factor y(c).
(c + 7)*(c + 12)/4
Let f = 26013 + -26004. Let w(q) be the first derivative of 48*q + 8/3*q**3 + 22*q**2 - f. Suppose w(h) = 0. Calculate h.
-4, -3/2
Let m(x) be the first derivative of 0*x**2 + 4*x**3 - 1/2*x**4 + 0*x - 75 - 2/5*x**5. Factor m(u).
-2*u**2*(u - 2)*(u + 3)
Let c(r) be the second derivative of r**4/28 - 12*r**3 + 501*r**2/14 - 588*r. Solve c(o) = 0.
1, 167
Suppose -4*y = -5*y. Let j = y + 3. Factor -4 - 4*d**2 - d + 8 - 3*d + 0*d**3 + 4*d**j.
4*(d - 1)**2*(d + 1)
Let a(d) be the third derivative of -d**9/15120 - 11*d**8/10080 + d**7/420 - 2*d**5/5 + d**2 - 23*d. Let q(r) be the third derivative of a(r). Factor q(x).
-2*x*(x + 6)*(2*x - 1)
Let g be (372/(-28365)*61)/((-4)/(-10)*-1). Factor 0 + 25/4*b + 1/4*b**3 + 5/2*b**g.
b*(b + 5)**2/4
Let i = -3635046/103 + 35292. Let u = i - -734/309. Factor -u*q - 2/9*q**2 - 22/9.
-2*(q + 1)*(q + 11)/9
Let r(c) be the second derivative of 4/21*c**7 - 19/5*c**5 + 16/3*c**3 + 0 + 0*c**2 - 63*c + 2*c**4 + 2/5*c**6. Determine d, given that r(d) = 0.
-4, -1/2, 0, 1, 2
Suppose -5*n + 10*n = 3*q + 8, -16 = -q - 3*n. Suppose 31*p - 36*p = 5, -3*l - 2*p = -28. Factor 3*t**2 - 2*t**3 + 2*t**4 - 4 - 5*t**2 + l*t + 0*t**3 - q*t**2.
2*(t - 1)**3*(t + 2)
Let k = 15/293 + 421/3223. Let d = -986 - -10850/11. Factor -k*f**5 - 2/11*f + d*f**2 + 4/11*f**3 - 2/11 - 2/11*f**4.
-2*(f - 1)**2*(f + 1)**3/11
Suppose 2*j = -4*p - 16, p = 4*j - j - 11. Find v, given that -25*v**3 + 4*v**4 + 4*v**4 + 31*v**3 - 6*v**j + 2 - 6*v - 4*v**2 = 0.
-1, 1/4, 1
Let v(o) be the second derivative of o**4/54 + 31*o**3/9 - 190*o**2/9 + o - 1065. Let v(r) = 0. What is r?
-95, 2
Factor -15/7 + 16/7*c - 1/7*c**2.
-(c - 15)*(c - 1)/7
Suppose -17*a = -18*a + 3*g - 9, 78 = 4*a + 26*g. Let q(f) be the third derivative of 1/36*f**3 + a - 30*f**2 + 0*f + 1/360*f**5 - 1/72*f**4. Factor q(u).
(u - 1)**2/6
Suppose 39 = 5*x + 196*o - 192*o, -2*x - 3*o + 24 = 0. Let i be 1*10/(-2)*4/(-5). Factor 1/2*k**x + 0 + 1/2*k**i - 1/2*k - 1/2*k**2.
k*(k - 1)*(k + 1)**2/2
Let g = -2805877/5 - -561176. Factor 4107/5 + g*o**2 - 222/5*o.
3*(o - 37)**2/5
Let v be (140/(-112)*(-7 + (-259)/(-35)))/(3/(-288)). Factor v*y + 2/13*y**4 - 48/13*y**3 + 236/13*y**2 + 26.
2*(y - 13)**2*(y + 1)**2/13
Let z(p) be the third derivative of 2/3*p**3 - 1/20*p**5 + 0*p**6 + 1/630*p**7 + 29*p**2 - 1/18*p**4 - 1 + 0*p. Factor z(y).
(y - 3)*(y - 1)*(y + 2)**2/3
Let f(u) be the second derivative of 0 - 24/5*u**5 + 96*u**2 + 88/3*u**4 - 14*u - 224/3*u**3 - 2/15*u**6 + 2/21*u**7. Find q, given that f(q) = 0.
-6, 1, 2
Let i = 39 - 42. Let t be i + 1 + 3 - 1. What is q in t*q**2 + q**2 - 4 + 15*q + 2*q**2 + 16 = 0?
-4, -1
Let o(c) = -12*c**4 - 15*c**3 - c**2 + 53*c. Let d(n) = 14*n**4 + 16*n**3 + 2*n**2 - 54*n. Let k(g) = -5*d(g) - 6*o(g). Find q, given that k(q) = 0.
-4, -3, 0, 2
Let b(f) = -13*f 