hat b(h) = 0.
-1, 1
Factor 4/7*y**3 + 2/7*y**5 + 0*y**2 + 6/7*y**4 + 0*y + 0.
2*y**3*(y + 1)*(y + 2)/7
Let v(n) be the first derivative of n**6/300 + n**5/100 - n**4/60 - 7*n**2/2 + 11. Let x(g) be the second derivative of v(g). Let x(j) = 0. What is j?
-2, 0, 1/2
Let s(p) be the first derivative of -7*p**2 - 124*p + 66. Let x be s(-9). Determine r, given that 2/5*r**x + 2/5 - 4/5*r = 0.
1
Let l(r) = 4*r**3 - 1. Let f be l(1). Suppose q + 1 = 5*s + 4*q, 0 = s + 5*q + 13. Solve -6*o**3 + s*o**3 + 2*o**f + 2*o**2 = 0 for o.
0, 1
Let d(n) be the first derivative of n**8/1512 - 2*n**7/945 + n**5/135 - n**4/108 - 15*n**2/2 - 1. Let c(q) be the second derivative of d(q). Factor c(h).
2*h*(h - 1)**3*(h + 1)/9
Solve 28 - 19 - a**2 - 13 + 2*a**2 = 0.
-2, 2
Let o(h) = 6*h**4 - 4*h**3 - 5*h - 5. Let s(d) = -6 - 6*d**3 + 4*d**3 + 2*d**3 - 6*d + 7*d**4 - 5*d**3. Let y(g) = -6*o(g) + 5*s(g). Factor y(q).
-q**3*(q + 1)
Let f be 2/4 - (-57)/504*-4. Let v(u) be the third derivative of 0*u**3 + 0*u + 1/105*u**5 + 5*u**2 - f*u**4 + 0. Suppose v(m) = 0. Calculate m.
0, 2
Let n = 145 - 105. Let w be (-4)/(-1) + (-88)/n. Solve 9/5*c + 3/5*c**3 + 3/5 + w*c**2 = 0 for c.
-1
Let b(n) be the second derivative of 9*n + 1/24*n**3 - 1/48*n**4 + 0 + 0*n**2. Let b(c) = 0. What is c?
0, 1
Let d(q) be the third derivative of q**5/15 - 11*q**2. Let b(t) = t**2. Let j(i) = 8*b(i) - d(i). Factor j(p).
4*p**2
Let d(u) be the first derivative of -u**6/45 + 7*u**5/30 - u**4 + 20*u**3/9 - 8*u**2/3 + u - 9. Let b(j) be the first derivative of d(j). Factor b(k).
-2*(k - 2)**3*(k - 1)/3
Determine y so that -4/3 + 5/3*y**2 + 0*y**3 - 1/3*y**4 + 0*y = 0.
-2, -1, 1, 2
Suppose -2*b = -0*b + 48. Let z = 26 + b. Find h, given that -h**2 + h**z + 5*h**3 - 2*h**3 - 3*h**2 = 0.
0, 1
Let j(n) = -n - 5. Let g be j(-9). Let o(p) be the second derivative of -1/21*p**g - 1/70*p**5 + 4*p + 0*p**2 - 1/21*p**3 + 0. Factor o(c).
-2*c*(c + 1)**2/7
Let u(y) = y**3 + y**2 + y. Suppose -2*p + 57 = -k, 2*p - 2*k = 62 - 4. Let q(s) = s**4 + 6*s**3 + 5*s**2 + 7*s. Let z(b) = p*u(b) - 4*q(b). Factor z(r).
-4*r**2*(r - 2)*(r + 1)
Solve 74/13*o - 136/13*o**2 - 4/13 + 66/13*o**3 = 0.
2/33, 1
Let s(m) be the first derivative of 1/6*m**2 - 1/6*m + 0*m**3 + 1 - 1/12*m**4 + 1/30*m**5. Suppose s(y) = 0. What is y?
-1, 1
Determine f, given that 9*f**2 - 9*f**4 - 15*f**3 + 76*f**5 + 12*f - 157*f**5 + 84*f**5 = 0.
-1, 0, 1, 4
Suppose -33 = 370*b - 381*b. Let a(w) be the first derivative of 0*w**b + 0*w**5 + 3 + 0*w - 1/30*w**6 - 1/10*w**2 + 1/10*w**4. Find x such that a(x) = 0.
-1, 0, 1
Let i(y) be the second derivative of -81*y**5/140 - 69*y**4/28 + 52*y**3/21 - 6*y**2/7 + 337*y. Let i(g) = 0. What is g?
-3, 2/9
Suppose u - 7 = 3*z, -5*u + 24*z - 28*z + 16 = 0. Factor 0 + 1/4*q**5 + q**u + 3/2*q**3 + 1/4*q + q**2.
q*(q + 1)**4/4
Let h(g) be the second derivative of -g**6/60 + g**5/15 + 7*g**4/12 + 4*g**3/3 + 9*g**2/2 - 6*g. Let u(b) be the first derivative of h(b). Factor u(v).
-2*(v - 4)*(v + 1)**2
Let q(f) = 3*f - 31. Let r be q(12). Let t be (-3)/r*(-40)/60. Suppose 4/5*j**3 + t*j**2 + 4/5 - 2*j = 0. Calculate j.
-2, 1/2, 1
Let u(i) = -i + 2 + 0 + 1. Let c be u(3). Determine l so that c + 1/2*l**2 + 1/4*l**4 - 3/4*l**3 + 0*l = 0.
0, 1, 2
Let p = -39 + 2. Let z = p - -37. Factor -u**2 - u**3 - 1/3*u + z - 1/3*u**4.
-u*(u + 1)**3/3
Let s = 159 + -158. Let h(v) be the first derivative of 4/3*v**3 + 0*v - 1/2*v**4 + 0*v**2 + s. Solve h(i) = 0 for i.
0, 2
Let i(v) be the first derivative of -1/30*v**6 - 1/20*v**5 + 1/6*v**4 + 0*v**2 - 1 + 3*v + 0*v**3. Let y(u) be the first derivative of i(u). Factor y(x).
-x**2*(x - 1)*(x + 2)
Suppose 78*o = 70*o + 40. Let s(i) be the second derivative of 1/20*i**o + 1/12*i**4 + 0 + 8*i - 1/2*i**2 - 1/6*i**3. Suppose s(f) = 0. Calculate f.
-1, 1
Let h be (-84)/(-9) + (-2)/6. Suppose 2*l - h = 3*q, l + 4*q - 7 = 8*q. Factor -7*d**2 + 8*d - 4*d**l + 26*d**2 - 15*d**2.
-4*d*(d - 2)*(d + 1)
Let c(j) = j**3 - 3*j**2 - 62*j - 76. Let v be c(10). Factor 2/7*g**v + 0*g - 2/7*g**3 + 2/7*g**5 + 0 - 2/7*g**2.
2*g**2*(g - 1)*(g + 1)**2/7
Let u(w) be the third derivative of 3*w**5/10 - 47*w**4/8 - 4*w**3 - 364*w**2. Factor u(m).
3*(m - 8)*(6*m + 1)
Suppose -7 = -6*b - 25. Let h be (0 + 1)/b + 28/12. Factor 0 - u - 1/4*u**h.
-u*(u + 4)/4
Let f(k) be the second derivative of -k**5/140 - 5*k**4/14 - 50*k**3/7 + 35*k**2/2 - 37*k. Let a(p) be the first derivative of f(p). Find d such that a(d) = 0.
-10
Solve -2*l - 1/2*l**5 + 6 + 3/2*l**4 + 5/2*l**3 - 15/2*l**2 = 0 for l.
-2, -1, 1, 2, 3
Let d(t) = t**3 + 2*t**2 + 2. Let v be d(-2). Suppose 4 = -3*u - p, v*u = u + 2*p + 8. Factor -2/15*c**2 + 0*c + 2/15*c**4 + 2/15*c**3 - 2/15*c**5 + u.
-2*c**2*(c - 1)**2*(c + 1)/15
Let j(m) be the third derivative of m**5/300 - 17*m**4/30 + 578*m**3/15 + 8*m**2 - 1. Determine w so that j(w) = 0.
34
Let a(n) = 4*n**2 - 73*n - 52. Let j be a(19). Solve -64/7 - 128/7*m**3 - 192/7*m - 32*m**2 - 36/7*m**4 - 4/7*m**j = 0 for m.
-2, -1
Factor 153*m**2 + 47*m + 81*m**3 - 19 + 3*m**4 + 19 + 28*m.
3*m*(m + 1)**2*(m + 25)
Let l(t) = -8*t**4 - 2*t**3 + 8*t**2 - 4*t - 6. Let z(d) = -17*d**4 - 4*d**3 + 17*d**2 - 9*d - 13. Let f(k) = -13*l(k) + 6*z(k). Solve f(i) = 0.
-1, 0, 1
Let p(f) be the second derivative of f**4/3 - 8*f**3/3 + 138*f. Factor p(g).
4*g*(g - 4)
Solve 35*v + 19*v + 3*v**2 - 81 + 81 = 0 for v.
-18, 0
Suppose 284 = -7*a + 2*a - 3*t, 61 = -a - 2*t. Let g be 2*a/(-140) + 3/2. Find b, given that -g + 10/7*b**3 - 40/7*b - 2*b**4 + 60/7*b**2 = 0.
-2, -2/7, 1, 2
Let a(z) be the first derivative of -3 + 11/16*z**4 + 3/2*z**2 - 7/40*z**5 + 0*z + 1/80*z**6 - 5/4*z**3. Let v(d) be the second derivative of a(d). Factor v(i).
3*(i - 5)*(i - 1)**2/2
Suppose 11*k - 70 = 4*k. Suppose 6 - 12 + k*z**2 + 6 + 4*z - 14*z**3 = 0. Calculate z.
-2/7, 0, 1
Let h(s) be the first derivative of -3*s**5 - 5*s**4/2 + 5*s**3 + 5*s**2 + 733. Factor h(w).
-5*w*(w - 1)*(w + 1)*(3*w + 2)
Let h(m) be the second derivative of -9/20*m**5 + m**4 + 0 + m - 3*m**2 + 5/2*m**3. Factor h(p).
-3*(p - 2)*(p + 1)*(3*p - 1)
Let w(c) be the third derivative of -11*c**8/1512 + 2*c**7/189 - 23*c**2 - 2. Let w(a) = 0. What is a?
0, 10/11
Let w(m) be the first derivative of 5*m**3/3 + 5*m**2/2 - 60*m - 51. Factor w(f).
5*(f - 3)*(f + 4)
Factor 94*m**3 - m**4 - 30*m + 19*m**2 + 84*m**3 - 178*m**3.
-m*(m - 3)*(m - 2)*(m + 5)
Solve 0 - 82/11*c**2 - 8/11*c**3 - 20/11*c = 0.
-10, -1/4, 0
Let k = -11 + 28. Suppose -42 - 9*b + 19 - 6*b - 3*b**2 + 6*b**3 + k = 0. What is b?
-1, -1/2, 2
Factor -33*x**2 - 1547*x + 815*x + 783*x - 18.
-3*(x - 1)*(11*x - 6)
Find l, given that -14283*l - 348*l**3 - 17*l**4 - 14697*l**2 + 43*l**3 - 112*l**3 + 14*l**4 = 0.
-69, -1, 0
Solve -95*h - 193 + 371 - 208 + 35*h**2 = 0.
-2/7, 3
Let i(s) = -12*s**2 - 526*s + 524. Let z(d) = -9*d**2 - 350*d + 349. Let b(a) = 5*i(a) - 7*z(a). Factor b(p).
3*(p - 59)*(p - 1)
Factor -2/3*m + 0 + 2/3*m**3 - m**2 + m**4.
m*(m - 1)*(m + 1)*(3*m + 2)/3
Suppose 77 = -58*h + 251. Solve 7/3*y**h - 7/3*y - 1 - 1/3*y**2 + 4/3*y**4 = 0.
-1, -3/4, 1
Suppose 4*s + 4*o = 2*o - 32, -3*o = -12. Let f(q) = -30*q**2 - 42*q - 22. Let z(t) = 10*t**2 + 14*t + 7. Let j(l) = s*z(l) - 3*f(l). Factor j(c).
-2*(c + 1)*(5*c + 2)
Let z(j) = -150*j**2 + 1865*j + 780. Let w(k) = 25*k**2 - 311*k - 130. Let i(s) = -25*w(s) - 4*z(s). Solve i(m) = 0 for m.
-2/5, 13
Let p(a) be the second derivative of a**6/80 + a**5/20 - a**4/16 - a**3/2 - 15*a**2/2 + 8*a. Let y(l) be the first derivative of p(l). Factor y(j).
3*(j - 1)*(j + 1)*(j + 2)/2
Let f(d) = d**2 - 116*d + 2. Let w be f(0). Let x(j) be the first derivative of 6 - 4/5*j**w + 6/25*j**5 + 2/5*j**4 - 4/15*j**3 - 2/5*j. What is s in x(s) = 0?
-1, -1/3, 1
Let n be 4*(-1 + 23/6 + 400/(-300)). Factor 3/2*v**3 + 0*v - 9/2*v**2 + n.
3*(v - 2)**2*(v + 1)/2
Suppose t = -t - 2*k + 16, -5*t - 3*k + 42 = 0. Let l = t + -5. Find n such that -5*n**2 - 2*n - 4*n**2 + n**4 + 5*n**l + 3*n**2 + 2*n**3 = 0.
-1, -1/3, 0, 1
Let l(q) be the second derivative of -q**7/21 - q**6/15 + q**5/10 + q**4/6 - 14*q. Factor l(b).
-2*b**2*(b - 1)*(b + 1)**2
Suppose -4*d - 4*f = -48, 61 = -0*d + 3*d - 2*f. Let v be 0 + 3 + 2 + -1. Factor -1 + 1 - 20*u**v + d*u**4 + 3*u**5.
3*u**4*(u - 1)
Let v(w) be the first derivative of 