491*o**2. What is d in h(d) = 0?
-1, 3
Let c(v) be the first derivative of 6/17*v**2 + 14 + 2/51*v**3 + 0*v. Factor c(m).
2*m*(m + 6)/17
Let z be (-2)/7 - (-15341)/4669. Factor -33/4*d + 3/4*d**3 - 9/2 - z*d**2.
3*(d - 6)*(d + 1)**2/4
Let i be (204 + -205)*(-1)/3. Let -2/3*z**2 + 0 + i*z**3 + 1/3*z = 0. Calculate z.
0, 1
Let w(f) be the second derivative of 0*f**2 + 0*f**5 + 6*f + 0 - 1/210*f**6 + 1/21*f**3 + 1/28*f**4. Suppose w(z) = 0. What is z?
-1, 0, 2
Let l(s) be the third derivative of 0*s + 0 + 1/24*s**4 - 14*s**2 + 2/15*s**3 + 1/300*s**5. Factor l(d).
(d + 1)*(d + 4)/5
Factor -124*t + t**3 + 126*t + 7*t**2 + 2*t**3.
t*(t + 2)*(3*t + 1)
Let t = -212/3 + 214/3. Suppose b = 5*b. Determine x so that b + t*x**2 - 2*x = 0.
0, 3
Let k(y) = y**2 + 7*y + 6. Let o be k(-6). Suppose 2*z - 6 = 3*b, 15*z + 2 = 11*z - b. Factor 1/2*a**3 + o + 1/4*a**4 + 1/4*a**2 + z*a.
a**2*(a + 1)**2/4
Let o be (-6)/(-20)*30*9/486*18. Factor 1029/5 + 3/5*u**o + 63/5*u**2 + 441/5*u.
3*(u + 7)**3/5
Let r = -5/26 + 44/195. Let q(g) be the first derivative of 1/12*g**2 - 1/24*g**4 + 1/6*g**3 - 1/3*g - 4 - r*g**5. Factor q(i).
-(i - 1)**2*(i + 1)*(i + 2)/6
Let d(u) = -u**4 - u**2 - u. Suppose 3*z + 0 = o - 8, 0 = -3*z - 3. Let p(l) = -2*l**4 - 5*l**3 - 9*l**2 - 5*l. Let t(j) = o*p(j) - 5*d(j). Factor t(s).
-5*s*(s + 1)*(s + 2)**2
Let a(i) be the third derivative of i**5/210 + i**4/6 - 7*i**3 - 526*i**2. Solve a(c) = 0.
-21, 7
Let f(p) be the third derivative of 2*p**7/105 - p**6/8 + 4*p**5/15 - p**4/8 - p**3/3 + 31*p**2 - 7. Factor f(y).
(y - 2)*(y - 1)**2*(4*y + 1)
Let y(p) = -15*p**2 + 33*p + 18. Let c(r) = 32*r**2 - 67*r - 34. Let q(i) = -6*c(i) - 13*y(i). Factor q(a).
3*(a - 10)*(a + 1)
Find a such that 198*a**3 - 81*a**2 + 50*a**4 - 69*a**5 + 90*a**5 - 161*a**4 - 51*a**2 + 24*a = 0.
0, 2/7, 1, 2
Let s be 4927/169 - 4/26. Suppose 0 = -3*m + 2*m - 5, 4*x = m + s. Solve 2*b**2 + 2*b**3 - 10*b**2 + x*b**2 = 0.
0, 1
Let g(t) = 2 - 1 - 8*t + 7*t. Let u be g(-3). Factor 0 - 1/2*d**2 + 0*d - 1/4*d**3 + 1/4*d**u.
d**2*(d - 2)*(d + 1)/4
Factor 95*s + 167*s + 64 + 282*s + 1156*s**2.
4*(17*s + 4)**2
Let u(i) be the second derivative of -1/3*i**3 - 14*i + 0 - 3/20*i**5 + 0*i**2 - 5/12*i**4. Factor u(l).
-l*(l + 1)*(3*l + 2)
Let j(p) be the second derivative of -1/39*p**4 + 1/195*p**6 + 0 + 1/130*p**5 + 0*p**3 - p + 0*p**2. Factor j(h).
2*h**2*(h - 1)*(h + 2)/13
Let d(m) = -9*m - 168. Let u be d(-19). Let x(l) be the third derivative of 1/2*l**4 - 1/15*l**5 - 4/3*l**3 + 0 + 0*l - u*l**2. Factor x(y).
-4*(y - 2)*(y - 1)
Let w(j) be the first derivative of 2*j**3/9 + 7*j**2/3 + 20*j/3 + 76. Factor w(q).
2*(q + 2)*(q + 5)/3
Let s = -3182 + 3185. Determine u so that 15/4*u**3 + 19*u**4 + s*u**5 + 1/4*u - 27/2*u**2 + 3/2 = 0.
-6, -1, -1/3, 1/2
Let v(r) be the second derivative of r**8/2520 - r**7/420 + r**6/180 - r**5/180 - r**3/3 - 3*r. Let n(y) be the second derivative of v(y). Factor n(o).
2*o*(o - 1)**3/3
Let p(y) = -5*y**3 + y**2 + 3*y + 6. Let n(b) = -2*b**3 + b**2 + b + 2. Let w(h) = 12*n(h) - 4*p(h). Suppose w(x) = 0. Calculate x.
0, 2
Suppose -90*s + 380 = 20. What is j in -20/9 + 64/9*j - 4/9*j**s - 8*j**2 + 32/9*j**3 = 0?
1, 5
Let j(y) be the third derivative of 2*y**2 + 2/3*y**3 + 0 + 0*y - 1/4*y**4 + 1/30*y**5. Factor j(v).
2*(v - 2)*(v - 1)
Let c(u) be the first derivative of 4/21*u**3 + 0*u**2 + 0*u**4 - 2/35*u**5 - 2/7*u - 17. Find i such that c(i) = 0.
-1, 1
Let a(i) be the second derivative of 1/2*i**3 + 0 + 2*i - 3/2*i**2 - 3/8*i**4 - 1/5*i**5. Let y(k) be the first derivative of a(k). Factor y(x).
-3*(x + 1)*(4*x - 1)
Determine k, given that 0 - 2/19*k**5 + 0*k + 8/19*k**4 - 36/19*k**2 + 6/19*k**3 = 0.
-2, 0, 3
Suppose 53*g + 18 = 124. Let 3/7*o**5 + 18/7*o**4 + 39/7*o**3 + 36/7*o**g + 0 + 12/7*o = 0. What is o?
-2, -1, 0
Suppose -2976/7*t - 381/7*t**2 - 12/7*t**3 + 768/7 = 0. Calculate t.
-16, 1/4
Suppose -1245*x + 1338*x - 186 = 0. Solve -2/7*s**x + 4/7 - 2/7*s = 0.
-2, 1
Suppose -19 = -6*v + v - 3*j, -4*v + 5 = -j. Determine b, given that -3 - v*b - b - 3*b**2 + 3 = 0.
-1, 0
Let w(x) be the third derivative of x**8/840 + 44*x**7/525 + 121*x**6/75 + 59*x**2. Factor w(q).
2*q**3*(q + 22)**2/5
Suppose 3*o = 6 + 3. Suppose -m**3 - m**3 + 3*m**o = 0. What is m?
0
Suppose -90 = 8*d - 13*d. Let o be (d/(-4))/((-18)/12). Suppose -2*z**2 - 12 + 12 - z**o = 0. Calculate z.
-2, 0
Let b(m) be the third derivative of 0 - 11*m**2 + 1/110*m**5 + 1/132*m**4 + 1/1155*m**7 + 0*m + 0*m**3 + 1/220*m**6. Find w such that b(w) = 0.
-1, 0
Let h = -10838/5 + 2168. Let 0 + 0*x - h*x**3 + 1/5*x**5 + 0*x**2 - 1/5*x**4 = 0. What is x?
-1, 0, 2
Suppose 2*m = l + m - 6, 0 = -l - 5*m + 6. Let i = -2 + l. Find j such that -j**5 + 4*j + 3*j**3 + j**2 - 8*j - j**i + 0*j**4 + 2*j = 0.
-2, -1, 0, 1
Let a(m) be the first derivative of 3*m**5/160 - m**4/8 + 5*m**3/16 - 3*m**2/8 + 22*m + 5. Let x(h) be the first derivative of a(h). Let x(r) = 0. Calculate r.
1, 2
Let 97*m**3 + 13309*m - 2488*m**2 + 58*m**2 - 5*m**4 - 32805 + 1271*m + 83*m**3 = 0. Calculate m.
9
What is y in -52/5*y**2 + 3136/5 - 1/5*y**3 - 112*y = 0?
-28, 4
Let y = -236 + 1654/7. Factor y*n**2 - 2/7 + 2/7*n**3 - 2/7*n.
2*(n - 1)*(n + 1)**2/7
What is c in 6*c**2 - 7*c**5 + 5288*c**3 + 4*c**5 - 5279*c**3 = 0?
-1, 0, 2
Let g(t) be the first derivative of -4/9*t + 4/27*t**3 - 9 + 1/9*t**2 - 1/18*t**4. Solve g(b) = 0.
-1, 1, 2
Let w be 9/2 - (7 + (-2 - (-10 - -11))). Determine j so that 1/2*j**2 + w + j = 0.
-1
Let q(s) be the second derivative of -s**7/189 - 11*s**6/135 - 3*s**5/10 - 25*s**4/54 - 8*s**3/27 + 475*s. Suppose q(y) = 0. What is y?
-8, -1, 0
Let w(u) be the first derivative of 5*u**4/4 + 140*u**3/3 - 10*u**2 - 560*u - 480. Factor w(h).
5*(h - 2)*(h + 2)*(h + 28)
Factor 0*s - 4/3*s**2 - 8/3*s**4 - 2/3*s**5 - 10/3*s**3 + 0.
-2*s**2*(s + 1)**2*(s + 2)/3
Let y(j) be the third derivative of -1/180*j**5 - 1/180*j**6 + 1/12*j**3 - 1/1260*j**7 + 0*j + 0 - j**2 + 1/36*j**4. Determine f, given that y(f) = 0.
-3, -1, 1
Let s(z) = 2*z**2 - 5*z + 3*z - 2 - z. Let b(x) = x**2 - 14*x + 10. Let i be b(12). Let g(f) = -5*f**2 + 7*f + 5. Let a(u) = i*s(u) - 6*g(u). Factor a(k).
2*(k - 1)*(k + 1)
Let i(h) be the second derivative of -h**6/60 - h**5/60 + h**4/24 + 19*h**2/2 - 7*h. Let s(b) be the first derivative of i(b). Factor s(p).
-p*(p + 1)*(2*p - 1)
Let h(q) = 2*q**2 + 184*q - 168. Let m(c) = -c**2 - 182*c + 168. Let n(d) = 5*h(d) + 6*m(d). Solve n(w) = 0.
1, 42
Suppose -4*c + 22 = 3*k, 12*k - 7*k - 2*c = 2. Determine x, given that -1/9*x**k + 0 + 0*x = 0.
0
Suppose 2*u = 5*r - 3651, -u + 2*r + 3*r = 1828. Let b = 7367/4 + u. Factor 3/4*y**2 - 15/2*y + b.
3*(y - 5)**2/4
Let a(o) be the first derivative of 1/11*o**4 - 8/11*o**3 + 8/55*o**5 - 9/11*o**2 + 0*o - 1/33*o**6 - 16. Determine i, given that a(i) = 0.
-1, 0, 3
Let c(p) = -p**5 - 2*p**4 - p**3 + p**2 + 2*p. Let b(z) = 4*z**5 + 15*z**4 + z**3 - 21*z**2 - 5*z + 9. Let h(l) = -b(l) - 3*c(l). Let h(q) = 0. What is q?
-9, -1, 1
Let i be 6*9/54 + (3 - (-136)/(-36)). Determine o so that 8/9*o**2 + 0*o**3 + 0*o - 2/3*o**4 + i*o**5 + 0 = 0.
-1, 0, 2
Suppose -60 = 4*m - 16. Let h = m - -17. Factor -5 - i**4 + 0 - 10*i**3 + h*i**4 + 15*i - 5*i.
5*(i - 1)**3*(i + 1)
Let x(l) be the first derivative of -l**9/3024 + l**8/1260 - l**7/2520 + 6*l**3 + 5. Let j(q) be the third derivative of x(q). Find a, given that j(a) = 0.
0, 1/3, 1
Let x(p) be the third derivative of p**6/960 - p**5/160 - p**4/192 + p**3/16 - 16*p**2. Determine d so that x(d) = 0.
-1, 1, 3
Suppose -3*u + 5/7*u**2 + 22/7 = 0. What is u?
2, 11/5
Let c(r) be the third derivative of -r**6/120 - r**5/16 - r**4/12 + r**3/8 + 2*r**2 + 323. Factor c(n).
-(n + 1)*(n + 3)*(4*n - 1)/4
Let s = 56 + -53. Solve -2*o**s + 4*o**3 + 7*o**3 - 15*o**3 - 2*o**2 + 2*o**5 + 2*o**4 + 4*o = 0.
-2, -1, 0, 1
Let l(x) = 2*x**3 + x**2. Let b be l(1). Let q(i) be the second derivative of -1/20*i**4 + 1/10*i**3 + b*i + 0 + 0*i**2. What is c in q(c) = 0?
0, 1
Let t(f) = -2*f**2 + 1. Let d(g) = -8*g**2 - 28*g - 23. Let b(m) = -2*d(m) + 6*t(m). Let b(z) = 0. What is z?
-13, -1
Solve -20/3*i + 16/3*i**2 + 0 + 4/3*i**3 = 0 for i.
-5, 0, 1
Suppose 5*p + 123 - 638 = 0. Let i = -99 + p. Solve -4/5 + 18/5*g**2 + 2*g**3 - 14/5*g**i - 2*g = 0.
-1, -2/7, 1
Factor 0 +