en that 51*d**4 - 93*d - 40*d - 201*d**2 - 40*d**3 + 42*d**4 - 35*d**3 - 82*d**4 - 18 = 0.
-1, -2/11, 9
Suppose -1287*r + 5495 - 374 = 420*r. Let -1/4*w**r - 1/2 + 7/4*w + 1/2*w**4 - 3/2*w**2 = 0. What is w?
-2, 1/2, 1
Let y(t) be the first derivative of -t**3/3 + 453*t**2/2 - 452*t + 3803. Let y(f) = 0. Calculate f.
1, 452
Let g = 24625 - 24620. Let y(j) be the third derivative of 0 + 0*j - 1/24*j**6 + 1/12*j**g + 5/24*j**4 - 33*j**2 - 1/42*j**7 + 0*j**3. Solve y(m) = 0 for m.
-1, 0, 1
Let f = 35 + -39. Let r be -3 + (-86)/(-18) - f/18. Factor -r*v**4 - 4*v**4 + 3*v**4 + 14*v**3 - 9*v**2 - 3*v - 23*v**3.
-3*v*(v + 1)**3
Let m(b) be the first derivative of 97*b**3/9 + 85*b**2/6 - 4*b - 13910. Factor m(a).
(a + 1)*(97*a - 12)/3
Factor -1/7*u**3 - 111/7*u - 135/7 + 23/7*u**2.
-(u - 15)*(u - 9)*(u + 1)/7
Let u(p) = p**3 + 4*p**2 + p + 4. Let b be u(-4). Suppose 9 = v + 3*o, -5*v - 2*o + o + 17 = b. Suppose -v*d**4 - d**4 - 5*d**5 - d**4 = 0. What is d?
-1, 0
Let y be (45/30)/(4/(-8)). Let z(u) = 30*u + 81. Let o(a) = a**2 + 28*a + 80. Let k(l) = y*o(l) + 4*z(l). Determine p, given that k(p) = 0.
-2, 14
Let u = 51 - 46. Let f be (-2)/(2*(-2)/14). Let z(n) = 3*n**2 + 12*n + 2. Let m(g) = -2*g**2 - 8*g - 1. Let t(d) = f*m(d) + u*z(d). Let t(k) = 0. What is k?
-3, -1
Let i(o) be the first derivative of -o**6/240 - o**5/160 + 5*o**4/96 - o**3/16 - 149*o - 39. Let n(x) be the first derivative of i(x). Factor n(p).
-p*(p - 1)**2*(p + 3)/8
Let q = -40/473 - -967445/1892. Let v = -511 + q. Find s, given that 3/4*s**2 + v*s + 0 = 0.
-1/3, 0
Let j = -73 + 88. Factor j*z - 85 + 138 - 143 + 20*z**2 - 5*z**3.
-5*(z - 3)**2*(z + 2)
Let u(a) = -a**2 + 10*a + 59. Let n be u(-4). Let p(f) be the first derivative of -8 - 25/2*f**2 + 20/3*f**n - 5/4*f**4 + 10*f. Factor p(m).
-5*(m - 2)*(m - 1)**2
Let m = -59 - -60. Let o be m/(-3) - 140/(-42). Find l such that -4*l**2 + 2*l**o + 4 + 4*l + 2*l - 8*l + 0*l**2 = 0.
-1, 1, 2
Let u be (-48 - -47)/((-3)/6). Let o(j) be the first derivative of -20*j**5 + 24*j**u - 16*j + 44/3*j**3 - 30*j**4 - 14. Factor o(h).
-4*(h + 1)**2*(5*h - 2)**2
Let q be 399/12 - 4/((-32)/6). What is k in 7056 + 906*k**2 - q*k - 902*k**2 + 370*k = 0?
-42
Let w(m) = -20*m**4 - 156*m**3 - 252*m**2 - 148*m + 16. Let i(d) = 4*d**4 + 31*d**3 + 50*d**2 + 29*d - 3. Let x(s) = 16*i(s) + 3*w(s). Factor x(z).
4*z*(z + 1)**2*(z + 5)
Let n be (3 - (1*7 + (-14742)/3591))*19. Factor 24/7*g**2 + 0*g + 0 + n*g**4 + 32/7*g**3 + 2/7*g**5.
2*g**2*(g + 2)**2*(g + 3)/7
Let p(u) be the second derivative of -u**6/40 - 3*u**5/40 + 31*u**4/16 - 7*u**3/2 - 691*u. Factor p(k).
-3*k*(k - 4)*(k - 1)*(k + 7)/4
Let p be ((-76)/1102)/(3/(-174)). Let t(g) be the second derivative of -3/2*g**5 + 55/12*g**4 + 0 + 0*g**2 - 5*g**3 - p*g + 1/6*g**6. Factor t(u).
5*u*(u - 3)*(u - 2)*(u - 1)
Let 162/13 + 242/13*c**2 - 396/13*c = 0. What is c?
9/11
Solve 2248/7*b + 388/7*b**2 - 80 - 1546/7*b**3 - 538/7*b**4 + 8/7*b**5 = 0.
-2, 1/4, 1, 70
Let s(t) be the third derivative of -23/120*t**4 + 0*t - 42*t**2 - 1/300*t**5 + 4/5*t**3 + 0. Determine r, given that s(r) = 0.
-24, 1
Let m(h) = h**2 - h - 6. Let q be m(5). Suppose 3*o - 17 = -y, 15*o - 4*y = 11*o - 4. Factor 7*p + 9*p - q + o*p**2 - 6.
4*(p - 1)*(p + 5)
Let k(h) be the first derivative of h**6/60 - 3*h**5/50 - 3*h**4/8 - 17*h**3/30 - 3*h**2/10 - 9562. Factor k(x).
x*(x - 6)*(x + 1)**3/10
Let c(z) be the third derivative of -77841*z**6/40 - 78027*z**5/10 - 1675*z**4/18 - 4*z**3/9 - 6309*z**2. Factor c(h).
-(h + 2)*(837*h + 2)**2/3
Let q(c) be the third derivative of 5/12*c**4 + 0 + 0*c**3 + 1/504*c**8 - 84*c - c**2 - 1/45*c**5 - 4/45*c**6 + 2/315*c**7. Suppose q(j) = 0. Calculate j.
-5, -1, 0, 1, 3
Suppose l - 19 + 11 = 0. Suppose l*w - 4 - 36 = 0. Find v such that 32*v**2 + 50*v**4 - 15*v**5 - 60*v**3 - w*v + 7 - 7 - 2*v**2 = 0.
0, 1/3, 1
Suppose -617254*t + 617262*t + 2*t**2 + 7*t**3 - 15*t**3 - 2*t**4 = 0. What is t?
-4, -1, 0, 1
Suppose -15 = i - 2*i. Suppose 0 = -5*d - t + 22, 3*d + t - 10 - 2 = 0. Determine m, given that i*m + d*m**2 - 2*m**2 - 19*m + m**2 = 0.
0, 1
Factor 136/5*k**2 - 4/5*k**3 + 0 + 288/5*k.
-4*k*(k - 36)*(k + 2)/5
Suppose 0 = -2*h + 20*w - 15*w + 9, 0 = -h + 5*w + 7. Solve 21*t**2 + t**h - 11 + 13 + 9 - 50*t + 15 + 2*t**3 = 0 for t.
-13, 1
Let u be 19/((-17)/17) - -24. Let n(k) be the first derivative of 5/9*k**3 + 15*k + 20 + u*k**2. Factor n(j).
5*(j + 3)**2/3
Let w be (1/(-3))/(5/(-45)). Suppose 4*g - 2*p - 16 = 8, -p = w*g - 18. Factor -g*n**3 + 11*n**3 + 0*n**3.
5*n**3
Let a(v) be the first derivative of -1/2*v**4 - 102 - 2/27*v**3 + 2/45*v**5 + 0*v + v**2. Solve a(m) = 0 for m.
-1, 0, 1, 9
Let p(b) be the third derivative of -4489/27*b**3 - 67/54*b**4 + 0*b + 0 - 1/270*b**5 + 96*b**2. Factor p(v).
-2*(v + 67)**2/9
Find c such that 545*c**2 + 1/6*c**3 + 647514500/3 + 594050*c = 0.
-1090
Let s(o) be the second derivative of -1 - 12/35*o**5 + 0*o**3 - 1/147*o**7 + 0*o**2 - 10/21*o**4 - 3/35*o**6 - 30*o. Find q such that s(q) = 0.
-5, -2, 0
Let u = 656830 - 3284084/5. Factor 108/5*i**2 - 4/5 + u*i.
2*(3*i + 2)*(18*i - 1)/5
Suppose 5*c = 3*x - 5*x + 14, -x = -2*c + 2. Let a be (-36)/108 - 23/(-15). Solve -18/5*z + 2/5*z**3 - a*z**x - 2 = 0 for z.
-1, 5
Factor -394*x - x**2 - 29239 - 24222 + 14652.
-(x + 197)**2
Suppose -6*h - 4*b - 20 = 0, 25*h - 5*b - 75 = 20*h. Solve -20/7*o**2 - h*o - 12/7 - 4/7*o**3 = 0.
-3, -1
Let m = -37 - -21. Let a be 166/7 - m/56. Factor -19 + 15 + a - 6*r**2 + r**2.
-5*(r - 2)*(r + 2)
Let x be 0 + (4 - (3 + -3)). Let q be 0/(((-840)/(-1120))/(1 - (-3)/(-4))). Factor 0 + q*p + 1/2*p**3 + 0*p**2 + 1/4*p**x.
p**3*(p + 2)/4
Let l(q) be the second derivative of q**6/15 + 14*q**5/5 + 11*q**4/3 - 44*q**3 + 81*q**2 + 4567*q. Solve l(g) = 0.
-27, -3, 1
Let j be (-85405)/(-5394) + (-32)/6. What is s in -27/2*s - 3*s**2 - j = 0?
-7/2, -1
Let v = 8055 - 8055. Let u(r) be the third derivative of -12*r**2 + v + 10/9*r**3 + 0*r + 1/18*r**5 + 3/4*r**4. Factor u(d).
2*(d + 5)*(5*d + 2)/3
Suppose -5 = 3*h + 5*q, 3*h - 3*q + 1 = -4*q. Let z(j) be the third derivative of 2*j**2 + 1/240*j**6 + 0 + 0*j + 0*j**3 - 1/120*j**5 + h*j**4. Factor z(n).
n**2*(n - 1)/2
Let w(l) be the second derivative of 0*l**3 - 2*l**4 - 17/5*l**5 + 0*l**2 - 2/3*l**6 + 0 - 22*l. Let w(s) = 0. What is s?
-3, -2/5, 0
Let g(a) be the second derivative of -a**6/15 - 3*a**5/5 + 5*a**4/2 - 8*a**3/3 + 962*a. Factor g(y).
-2*y*(y - 1)**2*(y + 8)
Suppose 3*v + 42 = 5*b, -4*v - 970 = 3*b - 943. Determine h, given that -2/5*h**b + 3/5*h**2 - 1/5*h + 0 = 0.
0, 1/2, 1
Let c(r) = -r**3 + 6*r**2 + 4*r - 6. Let o be c(6). Suppose -91*y + 18*y + 5*y**2 + o*y = 0. Calculate y.
0, 11
Let l(i) be the second derivative of 7*i**4/30 - 4*i**3/3 + 13*i**2/5 - 2*i - 677. What is g in l(g) = 0?
1, 13/7
Let g(j) be the second derivative of -3/2*j**2 + j**3 - 3*j - 1/4*j**4 - 2. Determine z, given that g(z) = 0.
1
Suppose -26/3*t**2 + 3/2*t**3 + 19/6*t + 40/3 = 0. What is t?
-1, 16/9, 5
Let f(a) = a**3 - 14*a**2 + 21*a + 8. Let s be f(12). Let m be s/(-6)*(-6)/(-42). Find l, given that 0 + m*l**2 - 2*l = 0.
0, 3
Let q = -366569 + 733147/2. Factor -1/4*s + q*s**2 - 9/2 + 1/4*s**3.
(s - 1)*(s + 1)*(s + 18)/4
What is t in 2910897000 - 8424967*t - 3*t**3 - 2931603*t + 8910*t**2 + 2535670*t = 0?
990
Let m = -3111 + 37333/12. Let d(u) be the first derivative of m*u**6 + 0*u**2 + 0*u + 1/4*u**4 + 0*u**3 + 7 + 3/10*u**5. Factor d(r).
r**3*(r + 1)*(r + 2)/2
Let a(u) be the third derivative of u**8/840 - 4*u**7/105 - 6*u**6/25 + 31*u**5/75 + 167*u**4/60 - 46*u**3/5 + 215*u**2 + 2. Suppose a(m) = 0. Calculate m.
-3, -2, 1, 23
Let p = 8 + 4. Suppose -p = 4*i, 5*u + 13 = 6*u - 3*i. Factor -u*y**3 - 10*y**2 + 0*y**5 - 4*y**5 + 19*y**3 - y**5.
-5*y**2*(y - 1)**2*(y + 2)
Suppose -4*d = 8*d - 108. Factor -3*j**4 + 0*j**3 - 27*j**2 - 6 + 5*j**3 - 12*j - 20*j**3 - d*j.
-3*(j + 1)**3*(j + 2)
Factor 227*c + 174*c - 295*c - c**2.
-c*(c - 106)
Let n(h) be the third derivative of -h**5/135 + 17*h**4/54 + 4*h**3/3 - 3521*h**2. Factor n(p).
-4*(p - 18)*(p + 1)/9
Let x(m) be the second derivative of m**6/75 - 3*m**5/50 - m**4 + 128*m**3/15 - 96*m**2/5 - 17*m + 59. Factor x(f).
2*(f - 4)**2*(f - 1)*(f + 6)/5
What is q in -5*q**3 + 29*q**3 + 20*q**2 + 4055*q**4 - 4051*q**4 = 0?
-5