rivative of 0*g**2 + 0 + 1/18*g**p + 4*g - 2/9*g**3. Determine d, given that r(d) = 0.
0, 2
Let k(r) be the first derivative of 20/27*r**3 + 22 + 4/45*r**5 + 4/9*r**4 + 0*r + 4/9*r**2. Find o such that k(o) = 0.
-2, -1, 0
Solve -13/3*f**2 - 1/9*f**3 + 400/9 - 40*f = 0.
-20, 1
Let c(z) = z**5 + 6*z**4 + 5*z**3 + 8*z**2 + 4*z. Let d(x) = x**3 - x**2 - x. Let k be (5 - 23/5)*-10. Let q(s) = k*d(s) - c(s). Factor q(i).
-i**2*(i + 1)**2*(i + 4)
Suppose -3*d + 2*v + 14 = 3, 0 = -4*d - v + 11. Suppose -w = -2*z + 7, -5*z + 4*z - d*w = -14. Factor -1/5*m**4 + 0 + 1/5*m**2 + 0*m - 1/5*m**z + 1/5*m**3.
-m**2*(m - 1)*(m + 1)**2/5
Solve 4*b - b**2 + 4*b**2 + 0 - 2*b**2 + 3 = 0.
-3, -1
Let m(j) be the first derivative of -j**5/5 - j**4 - j**3 - 73. Factor m(k).
-k**2*(k + 1)*(k + 3)
Let y(v) be the third derivative of v**8/1848 - 4*v**7/385 + v**6/20 + 17*v**5/165 - 7*v**4/11 - 24*v**3/11 + 117*v**2. Determine b, given that y(b) = 0.
-1, 2, 6
Let i(g) be the first derivative of 5*g**4/4 + 9*g**3 - 10*g**2 - 12*g + 16. Find c such that i(c) = 0.
-6, -2/5, 1
Suppose -10 = -3*v + 8. Suppose 2*l + v = 5*l. Factor 27 - 27 + l*x**3 - x**2 + 0*x**2 - x**4.
-x**2*(x - 1)**2
Let p(y) be the first derivative of -5*y**6/2 + 99*y**5/20 - 9*y**4/16 - 13*y**3/4 + 9*y**2/8 - 12. Suppose p(n) = 0. Calculate n.
-3/5, 0, 1/4, 1
Let d(q) be the first derivative of -1/180*q**5 + 0*q + 1/1080*q**6 + 1/72*q**4 - 7/3*q**3 + 3 + 0*q**2. Let s(a) be the third derivative of d(a). Factor s(b).
(b - 1)**2/3
Let t = 26029/43365 - 2/8673. Determine y so that 18/5*y + 0 - 4/5*y**3 - t*y**2 + 1/5*y**4 = 0.
-2, 0, 3
Let y(c) be the third derivative of c**7/840 - c**6/120 + c**4/6 - c**3 + 8*c**2. Let w(t) be the first derivative of y(t). Let w(f) = 0. Calculate f.
-1, 2
Let u(m) be the third derivative of m**5/150 + 2*m**4/3 - 3*m**2 - 81. Factor u(s).
2*s*(s + 40)/5
Let g(a) be the third derivative of -a**6/40 - 3*a**5/10 - 9*a**4/8 - 2*a**3 + 227*a**2. Solve g(c) = 0 for c.
-4, -1
Let n(t) be the first derivative of 3*t**4/14 - 78*t**3/7 + 171*t**2 - 2166*t/7 + 97. Solve n(h) = 0.
1, 19
Factor -3354*w**4 - 22016*w - 2190*w**3 - w**5 + 7396 - 4693*w**3 + 3185*w**4 + 21673*w**2.
-(w - 1)**3*(w + 86)**2
Let k be 48/(-288) + 41/(-6) + 10. Let 3/4 - 1/2*h - h**2 + 1/2*h**k + 1/4*h**4 = 0. Calculate h.
-3, -1, 1
Let l be (16/20)/((-7)/(-35)). Let u be (l/(-30))/(-1)*(0 - -10). Solve -4*x**3 + 0*x + 0 - u*x**4 + 4/3*x**2 + 4*x**5 = 0.
-1, 0, 1/3, 1
Let m be -5 - ((-1016)/(-144) + -7)*-92. Let k(o) be the second derivative of 0 + m*o**3 + 5/72*o**4 - 1/12*o**2 - 11*o. Determine w, given that k(w) = 0.
-1, 1/5
Let p(q) = 2*q**3 - 3*q + 2. Let r be p(1). Suppose 0 = -7*y - 1 + r. Factor 0*x**2 + 3/4*x**3 + y - 3/4*x.
3*x*(x - 1)*(x + 1)/4
Let y(r) be the second derivative of r**7/840 - r**4/6 + 37*r. Let h(o) be the third derivative of y(o). Suppose h(g) = 0. What is g?
0
What is z in -1/5*z**2 - 3/5*z + 4/5 = 0?
-4, 1
Let c(p) = p**2 - p + 1. Let h(s) = 4*s**2 - 4*s + 5. Let b = 51 + -48. Let w(m) = b*h(m) - 15*c(m). Solve w(y) = 0.
0, 1
Let j(u) be the second derivative of 3 + 1/3*u**3 + 0*u**2 + 1/12*u**4 - 14*u. Find h such that j(h) = 0.
-2, 0
Let o(y) = -188*y - 936. Let w be o(-5). Find t such that -2/11*t**3 + 2/11*t**5 + 0*t + 0*t**2 + 0 + 0*t**w = 0.
-1, 0, 1
Let w(i) = 11 + 3*i**2 - i - 3*i**2 - 15*i + 6*i**2. Let y(m) = -4 + 3 + 2. Let f(u) = -w(u) + 3*y(u). Factor f(c).
-2*(c - 2)*(3*c - 2)
Let i be -6*(4/(-22) - (-342)/(-297)). Let u(v) be the second derivative of 3/20*v**5 + 15/2*v**3 - 7/4*v**4 - 27/2*v**2 + 0 - i*v. Factor u(a).
3*(a - 3)**2*(a - 1)
Let z(h) be the first derivative of h**6/24 + h**5/2 + 17*h**4/8 + 13*h**3/3 + 37*h**2/8 + 5*h/2 + 282. Factor z(v).
(v + 1)**3*(v + 2)*(v + 5)/4
Let z(t) be the first derivative of 2*t**7/21 + 2*t**6/15 - t**5/5 - t**4/3 + 9*t - 8. Let o(j) be the first derivative of z(j). Factor o(q).
4*q**2*(q - 1)*(q + 1)**2
Suppose -4*w + 0 + 16 = 0. Factor 7*r**3 - 38*r**3 - 16*r**2 - r**3 - 4*r**5 - 14*r**w - 6*r**4.
-4*r**2*(r + 1)*(r + 2)**2
Let v(m) be the third derivative of m**5/5 + m**4/48 - m**3/4 - 6*m**2. Find s, given that v(s) = 0.
-3/8, 1/3
Factor 1/4*f + f**2 - 1/6 + 7/12*f**3.
(f + 1)**2*(7*f - 2)/12
Determine k so that 0 - 21/2*k**2 - 9/2*k**3 - 3*k = 0.
-2, -1/3, 0
Suppose -62*z + 133 = -115. Let k(s) be the third derivative of 0 + 4*s**2 + 0*s - 1/30*s**z + 0*s**3 - 1/30*s**5. Factor k(l).
-2*l*(5*l + 2)/5
Let y(i) = 564*i**2 - 8*i - 8. Let k(x) = -188*x**2 + 2*x + 3. Let w(c) = -8*k(c) - 3*y(c). Factor w(v).
-4*v*(47*v - 2)
What is f in -20*f**4 - 17 + 5*f**5 - 25*f + 50*f**2 + 27 + 20*f**3 - 40*f**2 = 0?
-1, 1, 2
Suppose -14 = -2*f + 18. Let q = f + -14. Let 63*d**4 - d**q - 5*d**2 - d**3 + 4*d**3 = 0. Calculate d.
-1/3, 0, 2/7
Let h(q) be the third derivative of -1/48*q**4 + 0*q**3 + 1/1344*q**8 + 1/80*q**5 + 1/480*q**6 + 38*q**2 - 1/280*q**7 + 0 + 0*q. Solve h(m) = 0.
-1, 0, 1, 2
Let l = 25827/4 + -6456. Suppose -3/4*t**2 + 0*t + 0 + l*t**3 = 0. Calculate t.
0, 1
Let s = 39 - 39. Let d be (21/14)/(s + 6/16). Factor -w**3 + 7/2*w**2 + w + 0 - 7/2*w**d.
-w*(w - 1)*(w + 1)*(7*w + 2)/2
Let y(m) be the first derivative of 3*m**4/28 + 6*m**3/7 + 27*m**2/14 + 103. Factor y(w).
3*w*(w + 3)**2/7
Let o(j) be the second derivative of -j**5/90 + 5*j**4/18 - 47*j**3/27 + 11*j**2/3 - 3*j - 7. Factor o(y).
-2*(y - 11)*(y - 3)*(y - 1)/9
Let t(k) = k**3 + 20*k**2 + 2*k - 28. Let l be t(-20). Let r = -68 - l. Factor 7/5*w**2 + r + 2/5*w.
w*(7*w + 2)/5
Suppose 5*y**3 + y + 39*y + y**3 + 50*y**2 - 41*y**3 = 0. What is y?
-4/7, 0, 2
Factor 5*n**3 - 29*n**2 - n**2 + 8*n**2 + 7*n**2 + 0*n**2 - 50*n.
5*n*(n - 5)*(n + 2)
Let u(x) = x**2 + 5*x + 3. Suppose -5*n + 22 = -2*a - 0*n, -5*a = -3*n + 36. Let r be u(a). Solve -3 + 21/4*g**2 - r*g = 0.
-2/7, 2
Suppose 2*h = -t - 10 - 2, -9 = -t + 5*h. Let s(g) = g**3 + 8*g**2 + 11*g - 1. Let w be s(t). Factor -u**2 + 1 + w*u**3 - 6*u**3 - u + 2*u**3.
(u - 1)**2*(u + 1)
Factor -5/3*l**2 + 2/3*l - 1/3*l**4 + 0 + 4/3*l**3.
-l*(l - 2)*(l - 1)**2/3
Let t(a) be the second derivative of a**5/18 + a**4/18 - 4*a**3/9 + 4*a**2/9 - 10*a. Let t(c) = 0. Calculate c.
-2, 2/5, 1
Let g(q) = -7*q**3 - 16*q**2 + 92*q - 8. Let x(b) = -57*b**3 - 129*b**2 + 735*b - 66. Let u(r) = -33*g(r) + 4*x(r). Suppose u(v) = 0. What is v?
-8, 0, 4
Let f be (-7 - -5)*-107 + 2*2. Find k, given that -k**4 - k - 219 - k**5 + 2*k**3 + f + 2*k**2 + 0*k = 0.
-1, 1
What is z in 1/4*z**2 + 19/2 + 39/4*z = 0?
-38, -1
Let z be 0/(-3) - -8*1. Find r such that 22*r + 5*r**4 - 28*r**2 + 12*r**3 - 3*r**4 - 10*r**5 - 6 + z*r**5 = 0.
-3, 1
Let s(t) be the third derivative of t**6/240 + 13*t**5/120 + t**4/4 + 9*t**2 - 2. Solve s(l) = 0.
-12, -1, 0
Let z(n) be the first derivative of 2/15*n**3 + 6 + 0*n**2 - 2/5*n. Factor z(y).
2*(y - 1)*(y + 1)/5
Let l(r) be the third derivative of r**6/720 - 11*r**5/360 + 5*r**4/72 - 10*r**2 + 1. Determine s so that l(s) = 0.
0, 1, 10
Let v(q) be the third derivative of q**8/33600 + q**7/1400 + q**6/180 + q**5/50 - 2*q**4 + 16*q**2. Let h(c) be the second derivative of v(c). Factor h(o).
(o + 1)*(o + 2)*(o + 6)/5
Let n = -60 + 62. Factor -n - 8*m - 4*m**2 + 10 + 4.
-4*(m - 1)*(m + 3)
Solve -41895*g**3 + 14*g**4 + 14*g**4 - 56*g + 41907*g**3 - 4*g**5 - 90*g**2 + 14*g**2 = 0.
-1, 0, 2, 7
Let g(a) = -33*a**2 - 43*a - 55. Let j(c) = 13*c**2 + 22*c + 27. Let r(d) = 4*g(d) + 10*j(d). Factor r(z).
-2*(z - 25)*(z + 1)
Suppose 15*b - 274 - 14 = -57*b. Solve 15*f**b - 5*f**3 - 35/2*f**2 + 35/4*f**5 - 15/4*f + 5/2 = 0.
-1, 2/7, 1
Let m(l) be the third derivative of -l**6/40 - 3*l**5/5 + 27*l**4/8 - 7*l**3 + 8*l**2 + 5*l. Factor m(v).
-3*(v - 1)**2*(v + 14)
Factor -7*v**3 - 4*v**4 + 167 + 2*v**3 - 167 + 2*v**2 + v**4.
-v**2*(v + 2)*(3*v - 1)
Let m be 136/14 - (12 - 32/4). Let w = m - 193/35. Determine b, given that 7/10*b - w - 3/10*b**2 = 0.
1/3, 2
Let y(g) be the third derivative of -g**6/320 + 3*g**5/160 + g**4/64 - 3*g**3/16 - 342*g**2 - g. Factor y(a).
-3*(a - 3)*(a - 1)*(a + 1)/8
Let t(b) be the first derivative of -15 + 0*b + 1/9*b**4 - 4/27*b**3 - 4/9*b**2. Factor t(z).
4*z*(z - 2)*(z + 1)/9
Let f be -4*(9/12 - 2). Suppose 6*b - 6*b = -f*b. Determine v so that b*v**4 - 1/4*v**5 + 1/2*v**3 - 1/4*v + 0*v**2 + 0 = 0.
-1, 0, 1