0. What is a?
-2, 0
Let j(l) be the first derivative of -l**6/90 - l**5/18 + l**4/12 - l**2/2 - 7*l + 50. Let z(u) be the second derivative of j(u). Factor z(p).
-2*p*(p + 3)*(2*p - 1)/3
Let z(d) = -4*d**3 - 14*d - 6. Let s(h) = 5*h**3 - h**2 + 15*h + 7. Let r(t) = -6*s(t) - 7*z(t). Factor r(j).
-2*j*(j - 4)*(j + 1)
Factor -107*d**2 - 50*d + 0 + 137*d**2 + 2*d**4 + 18*d**3 - 4 + 4.
2*d*(d - 1)*(d + 5)**2
Let x(o) be the first derivative of 0*o**3 + 0*o - 1/6*o**4 + 15 + 4/9*o**2 + 2/45*o**5. Factor x(n).
2*n*(n - 2)**2*(n + 1)/9
Let f(p) be the third derivative of -27*p**2 - 1/9*p**3 - 1/135*p**5 + 0*p - 7/108*p**4 + 0. Determine l, given that f(l) = 0.
-3, -1/2
Suppose -2*y + 4 = c - 4, 2*c - 3*y = 2. Let u(b) = 2*b - 5. Let t be u(c). Factor -3*n**2 - n**5 + 3*n**5 + n**5 - 3*n**t + 3*n**4.
3*n**2*(n - 1)*(n + 1)**2
Let o = -23402/3 + 7716. Let t = o + 86. Determine r so that t*r**3 + 2*r**4 - 2*r + 2/3*r**5 - 2/3 - 4/3*r**2 = 0.
-1, 1
Suppose 5*l - 112 = -12. Find j such that l*j + 18*j - 14*j - 36 - 4*j**2 = 0.
3
Let l(y) = -3*y**4 + 18*y**3 + 37*y**2 + 40*y + 24. Let p(m) = -m**4 + 2*m**3 + m**2 - m + 1. Let w(a) = -5*l(a) + 20*p(a). Solve w(o) = 0.
-5, -2, -1
Let i(k) = k + 9. Let q be i(-6). Suppose x = q*x - 8. Factor -5*z**2 + 2*z**x + 5*z**3 - 4*z - 11*z**3 + 2*z**2 + 2*z**5 - 7*z**2.
2*z*(z - 2)*(z + 1)**3
Let x(m) be the first derivative of m**8/9240 + m**7/2310 - m**5/330 - m**4/132 + 3*m**3 + 3*m + 34. Let t(r) be the third derivative of x(r). Factor t(d).
2*(d - 1)*(d + 1)**3/11
Let v(m) = 3*m**2 + 34*m - 313. Let i(k) = k**2 + 11*k - 104. Let z(o) = 17*i(o) - 6*v(o). Solve z(y) = 0 for y.
-22, 5
Suppose 47 - 206 = -53*w. Suppose 54/19 + 16/19*a**w - 2/19*a**4 + 0*a - 36/19*a**2 = 0. What is a?
-1, 3
Let i(y) be the second derivative of y**5/20 - y**4/12 - y**3/6 - y**2/2 - 2*y. Let j(o) = 10*o**3 - 15*o**2 - 10*o + 5. Let v(l) = -5*i(l) + j(l). Factor v(u).
5*(u - 2)*(u - 1)*(u + 1)
Let g = -114 - -117. Factor 2 + 10*w - 637*w**g + 45*w**2 - 45*w**4 - 2 + 627*w**3.
-5*w*(w - 1)*(w + 1)*(9*w + 2)
Let i(k) be the first derivative of 9/11*k**2 - 2/33*k**3 + 37 - 16/11*k. Determine s so that i(s) = 0.
1, 8
Let p(u) be the first derivative of u**4/26 - 32*u**3/39 - 17*u**2/13 + 2. Find j, given that p(j) = 0.
-1, 0, 17
Let d(c) = -96*c - 73. Let b be d(30). Let p = b - -14877/5. What is a in p*a + 64/5 + 1/5*a**4 + 12*a**2 + 13/5*a**3 = 0?
-4, -1
Let b(g) be the second derivative of 31*g**4/12 - 11*g**3/2 + g**2 - 147*g - 1. What is y in b(y) = 0?
2/31, 1
Suppose -3*q = -2*q - 4. Suppose -4 = -4*k + 4*j + 24, q*j - 8 = -5*k. Find o such that -o**3 - 8 - 8*o + o**3 - 2*o**4 + 6*o**2 + k*o**3 = 0.
-1, 2
Let a(x) be the first derivative of -x**3 + 33*x**2/2 + 36*x - 22. Determine z, given that a(z) = 0.
-1, 12
Let a be 32/10 + (224/80 - 3). Determine t so that 2/13*t**a + 2/13*t**4 + 0 - 2/13*t - 2/13*t**2 = 0.
-1, 0, 1
Let f(b) be the third derivative of -b**6/360 - b**5/30 - b**4/6 - 4*b**3/9 - 198*b**2. Factor f(h).
-(h + 2)**3/3
Let k(o) be the third derivative of -o**8/2016 + o**6/180 - o**5/180 - o**4/48 + o**3/18 - 27*o**2 - 3*o. Factor k(f).
-(f - 1)**3*(f + 1)*(f + 2)/6
Let s(y) = y**3 + 9*y**2 + 2*y + 15. Suppose 0*z - 6*z = 24. Let j(l) = -l**2 - l - 1. Let d(t) = z*s(t) - 36*j(t). Suppose d(x) = 0. Calculate x.
-3, 1, 2
Let v(x) be the first derivative of 4*x**3/3 + 36*x**2 + 324*x - 8. Factor v(g).
4*(g + 9)**2
Let g(b) = 7*b**2 + b - 24. Let r(w) = -16*w**2 - w + 49. Let a(u) = 7*g(u) + 3*r(u). Factor a(n).
(n - 3)*(n + 7)
Let h(d) be the first derivative of -14*d**5/55 - 10*d**4/11 - 2*d**3/3 + 2*d**2/11 + 302. Solve h(c) = 0 for c.
-2, -1, 0, 1/7
Suppose 0 = -b - b + 40. Let n be 24/60 - 18/(-5). Factor 4*q**5 + 10*q**n + 5*q + 3*q + q**5 - 10*q**2 - b*q**3 + 7*q.
5*q*(q - 1)**2*(q + 1)*(q + 3)
Factor -8*d**2 - 5*d**4 + 7*d**2 + d**3 + 16*d**4 + 9*d**3.
d**2*(d + 1)*(11*d - 1)
Let u be (-93)/(-45) - (-34)/(-51). Let o(i) be the first derivative of -1/2*i**4 - 8/3*i**3 + 2/3*i**6 + i + u*i**5 - i**2 - 2. Factor o(s).
(s - 1)*(s + 1)**3*(4*s - 1)
Let u(h) = 3*h**3 + 5*h**2 - 4*h - 4. Let n be 1 + 6 + (-5)/(-10)*-6. Let k(x) = -5*x**3 - 11*x**2 + 7*x + 7. Let w(b) = n*k(b) + 7*u(b). Factor w(j).
j**2*(j - 9)
Let u be (-385)/(-28)*(2 + 5)/(-105)*-3. Factor -1/2 - 9/4*f + u*f**2.
(f - 1)*(11*f + 2)/4
Let g(o) = -2*o + 20. Let k be g(10). Let j be ((-6)/(-8))/(10/8). Determine i so that -3/5*i**2 + k - j*i = 0.
-1, 0
Let f(j) = -13*j**4 - 75*j**3 - 301*j**2 - 480*j - 283. Let r(q) = -32*q**4 - 188*q**3 - 752*q**2 - 1200*q - 708. Let v(w) = 12*f(w) - 5*r(w). Solve v(x) = 0.
-3, -2
Let y(j) be the first derivative of -j**4/10 + 8*j**3/15 + 11*j**2/5 - 12*j + 39. Let y(z) = 0. Calculate z.
-3, 2, 5
Let t(c) be the third derivative of c**5/300 + c**4/8 - 8*c**3/15 + 67*c**2 + 4. Find r such that t(r) = 0.
-16, 1
Find n, given that -4*n**5 + 81 + 29*n**3 - 54*n**2 + 33*n**3 + 5*n**4 + 3*n**5 + 27*n - 56*n**3 = 0.
-3, -1, 3
Let i(w) = 119*w - 18559. Let q be i(156). Factor -q*a**2 - 13/3 + 1/3*a**3 + 9*a.
(a - 13)*(a - 1)**2/3
Suppose -31*j + 64*j**2 + j**3 - 45*j**3 + 3*j + 8*j**4 = 0. What is j?
0, 1, 7/2
Factor 10/3*d - 4 - 2/3*d**2.
-2*(d - 3)*(d - 2)/3
Suppose -27 = -5*x + c, 0*x = 3*x - c - 17. Let b be 0 - 2 - (-20)/x. Factor 2*j**b - 4*j + j + 3*j.
2*j**2
Factor 108784/3*b**3 + 8788/3*b**5 + 59936/3*b**2 + 9728/3*b + 512/3 - 66248/3*b**4.
4*(b - 4)**2*(13*b + 2)**3/3
Let d(n) be the second derivative of -1/45*n**6 + 0*n**2 - 4/9*n**4 + 1/6*n**5 + 25*n + 0 + 4/9*n**3. Solve d(o) = 0 for o.
0, 1, 2
Solve 35/6*l**3 + 5/6*l**4 - 40/3*l + 0 + 20/3*l**2 = 0 for l.
-4, 0, 1
Let x(k) = -15*k**4 + 50*k**3 + 25*k**2 - 20. Let c(p) = -p**4 + 5*p**3. Let s(b) = -10*c(b) + x(b). Solve s(n) = 0.
-2, -1, 1, 2
Let f(b) be the first derivative of b**3/12 + 7*b**2/4 + 6*b - 29. Factor f(g).
(g + 2)*(g + 12)/4
Let g be (-19)/(-2)*(-13 + 11). Let p = g + 25. Factor -6 + p*a - 3/2*a**2.
-3*(a - 2)**2/2
Suppose -6*k = -3*k. Let r be 1 + -2 + 13 + 22 + -30. Factor 4/5*c**3 + 2/5*c**r + 0 + k*c + 2/5*c**2.
2*c**2*(c + 1)**2/5
Let x(s) be the second derivative of -s**4/48 + s**3/12 - s**2/8 + s + 4. Determine p so that x(p) = 0.
1
Let i(t) be the second derivative of -4*t**4 - 5/28*t**7 - 57/20*t**5 - 13/4*t**3 + 0 - 3/2*t**2 - 43*t - 11/10*t**6. Factor i(h).
-3*(h + 1)**4*(5*h + 2)/2
Suppose 83*s - 43*s + 4 = 42*s. Factor 0 + 2/15*c**5 + 4/15*c**4 + 0*c + 2/15*c**3 + 0*c**s.
2*c**3*(c + 1)**2/15
Let o(i) = -9*i**2 + 455*i + 311. Let y(x) = x**2 - 56*x - 39. Let g(l) = 6*o(l) + 51*y(l). Factor g(w).
-3*(w + 1)*(w + 41)
Let t(m) be the third derivative of -m**5/15 + 3*m**4/2 + 44*m**3/3 - 6*m**2 + 12*m. Suppose t(l) = 0. What is l?
-2, 11
What is f in -6/7*f**4 + 0*f - 10/21*f**3 + 0 + 0*f**2 - 8/21*f**5 = 0?
-5/4, -1, 0
Let t be 10/24 + 9/108. Let j(h) be the first derivative of 9 - 1/3*h**3 + 0*h - t*h**2. Factor j(o).
-o*(o + 1)
Let q(t) be the first derivative of 4*t**5/5 + 28*t**4 + 664*t**3/3 - 840*t**2 + 900*t + 392. Determine u, given that q(u) = 0.
-15, 1
Let c(p) be the first derivative of 8*p**3/3 - p**2/2 + p - 4. Let u be c(1). Let -7*b + 4 - u*b + 2*b**3 - 3*b**4 + 2 + b**3 + 9*b**2 = 0. What is b?
-2, 1
Let q(r) be the second derivative of r**4/16 - r**3 + 14*r. Factor q(j).
3*j*(j - 8)/4
Let w = -368 - -370. Factor -1/10*h**w - 19/10*h**4 + 0 + 1/5*h - 7/10*h**5 - 3/2*h**3.
-h*(h + 1)**3*(7*h - 2)/10
Let t(u) = 4*u**2 - 19*u - 17. Let k be t(6). Suppose 0 = k*z - 33 - 6. Factor -3/7*r**z - 6/7*r**2 + 6/7 + 3/7*r.
-3*(r - 1)*(r + 1)*(r + 2)/7
Let k(n) = n**5 + n**2 - 2. Let v(w) = -2*w**5 + 3*w**4 - 10*w**3 - 3*w**2 + 6. Let x(i) = -3*k(i) - v(i). Let x(q) = 0. What is q?
-5, 0, 2
Let t(g) = g**3 + 2*g + 1. Let q(b) = 40*b**3 - 220*b**2 + 740*b - 122. Let j(u) = -2*q(u) + 44*t(u). Factor j(c).
-4*(c - 6)**2*(9*c - 2)
Let x(u) be the first derivative of 4/39*u**3 + 1/13*u**2 + 0*u - 8 - 3/26*u**4. What is h in x(h) = 0?
-1/3, 0, 1
Let q = 104 + -101. Find s, given that 3 - 55*s**4 + 45*s**q + 20*s**5 - 15*s**2 + 5*s**3 - 3 = 0.
0, 3/4, 1
Let w = 275 - 5774/21. Let q(x) be the first derivative of -2/7*x + 1/14*x**2 + w*x**3 - 4. Solve q(r) = 0 for r.
-2, 1
Let q(o) be the second derivative of -13*o**5/10 - o**4/3 + 13*o**3/3 + 2*o*