0, 1
Let i(l) = 7*l**3 + 2*l**2 - 8*l - 18. Let r(v) = 30*v**3 + 7*v**2 - 32*v - 74. Let u(g) = 26*i(g) - 6*r(g). Suppose u(x) = 0. Calculate x.
-6, -1, 2
Let r be (1577/(-380) + 4)/((-2)/96*1). Factor r*b**2 + 96/5*b + 64/5 + 4/5*b**3.
4*(b + 1)*(b + 4)**2/5
Let w(c) be the third derivative of -c**5/140 + 5*c**4/56 - 2*c**3/7 - 3*c**2 + 15*c. Factor w(o).
-3*(o - 4)*(o - 1)/7
Let h(m) = -2*m**3 + 2*m**2 + m - 2. Let v be h(-2). Suppose b + 3*b - v = 0. Factor 2*u**2 - 4*u + 13 - b - 6*u**2.
-4*(u - 1)*(u + 2)
Let k(r) be the second derivative of -r + 0*r**2 + 0*r**3 - 5/12*r**4 + 0. Solve k(t) = 0 for t.
0
Suppose -2*g = -0*g, -36 = -3*r + 3*g. Suppose 5*d + d - 3*d**4 + 2*d**2 + r*d**3 - 17*d**2 = 0. What is d?
0, 1, 2
Let v be 8 + ((-75)/5 - -7). Let o(k) be the second derivative of 0*k**5 - 1/72*k**4 + v*k**2 - 7*k + 0 + 0*k**3 + 1/180*k**6. Determine i, given that o(i) = 0.
-1, 0, 1
Determine s so that 10/19 - 2/19*s**2 - 8/19*s = 0.
-5, 1
Let d(b) = -3*b**3 - 28*b**2 - 45*b. Let q(m) = 14*m**3 + 139*m**2 + 225*m. Let s(n) = 11*d(n) + 2*q(n). Factor s(k).
-5*k*(k + 3)**2
Let g(q) = -q - 4. Let a be g(-8). Factor 0*b**3 + 49*b**4 - 48*b**a + 0*b**2 + 3*b**3 + 3*b**2 + b.
b*(b + 1)**3
Suppose 0 = -12*t + 15*t - 12. Find d such that -20*d**t - 225*d**3 - 172*d - 16*d**4 + 390*d**2 - 89*d**4 + 24 = 0.
-3, 2/5
Let x(y) be the second derivative of 0*y**2 - 10*y + 1/8*y**4 + 3/80*y**5 - 3/8*y**3 + 0. Factor x(t).
3*t*(t - 1)*(t + 3)/4
Let f(o) be the second derivative of -3/28*o**4 + 0*o**2 + 1/7*o**3 + 0 + 10*o + 3/140*o**5. Determine c so that f(c) = 0.
0, 1, 2
Let b(w) be the third derivative of -67/156*w**6 + 251/195*w**5 + 0 + 0*w - 5/39*w**7 - 49/39*w**4 + 8/13*w**3 - 9*w**2. Suppose b(q) = 0. Calculate q.
-3, 2/7, 2/5
Let k(a) be the second derivative of a**6/30 + 13*a**5/20 - 5*a**4/4 - 13*a**3/6 + 7*a**2 + a + 1. Factor k(d).
(d - 1)**2*(d + 1)*(d + 14)
Let s = -7/2468 + 2503/12340. Let 0 - 12/5*b**3 - 2*b**5 + s*b + 43/10*b**4 - 1/10*b**2 = 0. What is b?
-1/4, 0, 2/5, 1
Let s(v) be the third derivative of -v**5/140 + 9*v**4/56 - 56*v**2. Find c such that s(c) = 0.
0, 9
Determine v so that -2/3 - 2/9*v**2 - 2/9*v**3 + 10/9*v = 0.
-3, 1
Let a(r) be the first derivative of -r**6/8 + 3*r**5/20 + 9*r**4/16 - 5*r**3/4 + 3*r**2/4 - 90. Suppose a(f) = 0. Calculate f.
-2, 0, 1
Let b(z) = -2*z**3 + 16*z**2 + z - 6. Let j be b(8). Solve 8*g**3 + 4*g + 2*g**4 - 6*g**2 + 15*g**2 + g**j = 0 for g.
-2, -1, 0
Let m(w) be the third derivative of -w**6/270 - w**5/18 - 2*w**4/9 + 2*w**3/3 - 4*w**2. Let i(n) be the first derivative of m(n). Factor i(p).
-4*(p + 1)*(p + 4)/3
Let m(v) = -v**2 - v + 1. Let l(a) = 3*a**2 + 2*a - 2. Let u(z) = -l(z) - 2*m(z). Let p(w) = 5*w**4 + 10*w**3 + 2*w**2. Let s(i) = p(i) + 2*u(i). Factor s(k).
5*k**3*(k + 2)
Let r(l) be the third derivative of 5*l**8/168 - 2*l**7/35 - 7*l**6/30 + 4*l**5/15 + 3*l**4/4 - 2*l**3/3 + 6*l**2 - 2. Determine f, given that r(f) = 0.
-1, 1/5, 1, 2
Let g be 73/20 - (-4)/(-10). Let r be (-45)/(-3)*(3 + (-32)/12). Find t such that -1 - 7/4*t**4 + 11/4*t**2 + g*t**3 - 2*t - 5/4*t**r = 0.
-2, -1, -2/5, 1
Let c(o) be the third derivative of -4/3*o**4 + 0 - 13/15*o**5 - 4/15*o**6 + 4*o**2 - 1/35*o**7 - o**3 + 0*o. Solve c(q) = 0 for q.
-3, -1, -1/3
Factor -814*m - 50*m**2 + 859*m + 3*m**3 + 6*m**3 - 4*m**3.
5*m*(m - 9)*(m - 1)
Let k be (-8)/(-48)*-1*14 + 3. Factor 2/9*q**2 + 4/9 + k*q.
2*(q + 1)*(q + 2)/9
Let n be 14/(-2)*(-44)/(10164/99). Factor -2*r + 0 - 8/3*r**2 - 2/3*r**n.
-2*r*(r + 1)*(r + 3)/3
Determine s, given that -2/9*s**4 + 0 - 2/3*s**3 + 44/9*s**2 + 16/3*s = 0.
-6, -1, 0, 4
Let r(f) = 3*f**2 + 1035*f + 33810. Let o(d) = -4*d**2 - 1552*d - 50716. Let t(s) = 5*o(s) + 8*r(s). Factor t(k).
4*(k + 65)**2
Let x be 14*((-2)/(-4) + -1). Let h(o) = o**2 + 8*o + 9. Let p be h(x). Factor 3*q**2 + 4*q**2 - 4*q**2 + p - 5.
3*(q - 1)*(q + 1)
Let p(l) = -5*l**4 + 6*l**3 - 3*l**2. Let t = 3 + -6. Let b(m) = -2*m**4 + 3*m**3 - m**2. Let w(o) = t*p(o) + 7*b(o). Factor w(j).
j**2*(j + 1)*(j + 2)
Let u(f) be the third derivative of f**6/150 + 7*f**5/200 - f**4/20 + f**3/6 - 17*f**2. Let c(a) be the first derivative of u(a). Solve c(r) = 0.
-2, 1/4
Let u be 4/(3 + (-110)/38). Suppose -p - 5*t = -u, 0*p - p - 2 = -3*t. Factor -2 + p*j**2 - 19*j**2 - 1 + 8*j + j**4.
(j - 1)**3*(j + 3)
Let h(s) be the third derivative of 1/12*s**5 - 18*s**2 + 0*s - 5/6*s**4 + 0 - 25/6*s**3. Let h(d) = 0. What is d?
-1, 5
Let i be (6/(-45)*6)/(36/(-10)). Let u = 537 - 1595/3. Let 0 - 16/9*x**2 - u*x**4 - i*x - 2*x**5 - 44/9*x**3 = 0. Calculate x.
-1, -1/3, 0
Determine f so that -96/5*f**3 - 72/5 + 12/5*f**5 + 276/5*f + 32/5*f**4 - 152/5*f**2 = 0.
-3, 1/3, 1, 2
Suppose -9 = -i - 2*h - 12, -4*h - 24 = -4*i. Let s(t) be the first derivative of 0*t**2 + 1/21*t**6 + 1/14*t**4 + 0*t**i + 0*t + 4/35*t**5 + 8. Factor s(b).
2*b**3*(b + 1)**2/7
Let s be (28/(-30))/(8*(-30)/36). Let y = s - -3/50. Suppose -y + 0*n + 1/5*n**2 = 0. What is n?
-1, 1
Let c be 86/43*(-2)/(-1). Let z(f) be the second derivative of 4*f + 0*f**c - 1/60*f**5 + 0*f**2 + 0 + 1/180*f**6 + 0*f**3. Factor z(m).
m**3*(m - 2)/6
Let y be -12*6/(-18) - (0 - -1). Find q such that -41*q - y*q**2 - 64 - q - 83 = 0.
-7
Let x(b) be the second derivative of -1/9*b**3 + 0*b**2 + 0*b**5 + 6*b + 1/12*b**4 - 1/90*b**6 + 0. Find k such that x(k) = 0.
-2, 0, 1
Let a be (-1*(-121)/33)/11. Determine j so that -1/3*j**3 + a*j**4 - 2/3 - j**2 + 5/3*j = 0.
-2, 1
Let j(r) be the third derivative of r**8/1512 + r**7/189 + r**6/90 - r**5/135 - 7*r**4/108 - r**3/9 + 52*r**2. Factor j(h).
2*(h - 1)*(h + 1)**3*(h + 3)/9
Let x(f) be the third derivative of f**5/15 + 5*f**4 + 150*f**3 + f**2 + 144*f. Factor x(b).
4*(b + 15)**2
Let g = -13465 + 53861/4. Factor z + g*z**2 - 5/4.
(z - 1)*(z + 5)/4
Suppose 0 = -7*n - 43 + 8. Let g be ((-3)/n)/(5/25). Let 3/7*o + 5/7*o**2 - 6/7*o**g - 2/7 = 0. What is o?
-2/3, 1/2, 1
Let m(c) be the third derivative of 1/75*c**7 + 1/75*c**5 - 3/100*c**6 + 0 + 12*c**2 + 0*c + 0*c**4 + 0*c**3. Factor m(o).
2*o**2*(o - 1)*(7*o - 2)/5
Solve -6627/4*t**3 - 141/4*t**4 + 0*t + 0 - 103823/4*t**2 - 1/4*t**5 = 0 for t.
-47, 0
Suppose 1150 = -9*x + 1177. Solve -2/9*f**x + 0 + 2/9*f + 0*f**2 = 0 for f.
-1, 0, 1
Suppose -12/7 + 10/21*q + 26/21*q**2 = 0. Calculate q.
-18/13, 1
Let t(i) = 13*i**3 - 17*i**2 - 32*i + 115. Let d(b) = 7*b**3 - 8*b**2 - 17*b + 58. Let u(y) = 7*d(y) - 4*t(y). Solve u(w) = 0.
-2, 3
Find s, given that 95*s**2 - 1 - 4 + 320*s - 251*s**2 - 14 + 3 = 0.
2/39, 2
Let f be (12/(-9))/(2 + -6). Let g(d) be the first derivative of -1/9*d**4 + 2/15*d**5 - 4/27*d**3 - 2/9*d + f*d**2 + 3 - 1/27*d**6. Factor g(v).
-2*(v - 1)**4*(v + 1)/9
Let j = -71 - -84. What is x in -4*x**3 - x**4 - 1201 + 7*x**2 + j*x + 3*x**3 + 1207 = 0?
-2, -1, 3
Let p(s) = s**2 - 8*s - 2. Let v(d) = -2*d**2 + 9*d + 3. Let n(o) = -3*p(o) - 2*v(o). Let h(k) = k**2. Let l(j) = -2*h(j) - n(j). Let l(a) = 0. Calculate a.
-2, 0
Let u(a) be the first derivative of -a**3/12 - 7*a**2/8 + 22. Let u(p) = 0. Calculate p.
-7, 0
Factor 55*t**2 - 223 + 5*t**3 + 35*t - 423 + 93 - 175 - 7.
5*(t - 3)*(t + 7)**2
Let b(g) be the second derivative of -g**7/4200 - g**6/900 - g**3/6 - 7*g. Let k(a) be the second derivative of b(a). Solve k(y) = 0 for y.
-2, 0
Let 0 - 8*i + 23/3*i**3 + 1/3*i**5 + 25/3*i**2 - 25/3*i**4 = 0. What is i?
-1, 0, 1, 24
Find u such that 636/5*u**3 + 2478/5*u**2 + 72/5*u**4 + 2058/5 + 3/5*u**5 + 3969/5*u = 0.
-7, -2, -1
Suppose 8*i + 110 = 3*i - 5*c, 0 = -5*i - c - 118. Let u be 12/(-42) + i/(-35). Determine x, given that 3/5*x - 1/5*x**3 + u + 0*x**2 = 0.
-1, 2
Let -7/4*u**2 + 15 + 4*u = 0. What is u?
-2, 30/7
Let g(m) be the second derivative of -2*m**6/75 + 7*m**4/15 + 4*m**3/5 - 4*m - 7. Factor g(a).
-4*a*(a - 3)*(a + 1)*(a + 2)/5
Let d(h) be the second derivative of h**9/60480 - h**8/8960 + h**7/3360 - h**6/2880 - 11*h**4/12 + 22*h. Let o(f) be the third derivative of d(f). Factor o(r).
r*(r - 1)**3/4
Let g(v) be the second derivative of -5*v**4/72 + 25*v**3/18 + 10*v**2 + 807*v. Factor g(j).
-5*(j - 12)*(j + 2)/6
Suppose -6*w + 34*w = 56. Let k(z) be the first derivative of -8 + z**4 - 4/5*z**5 + 0*z + 4/3*z**3 - 2*z**w. Factor k(x).
-4*x*(x - 1)**2*(x + 1)
Let v(r) be the second derivat