nd derivative of u(m). What is b in x(b) = 0?
-1, 5
Let z(n) be the first derivative of 2*n**3/15 + 6*n**2 + 112*n/5 - 53. Factor z(i).
2*(i + 2)*(i + 28)/5
Let z(o) be the second derivative of o**6/45 + o**5/15 - 13*o**4/18 + 10*o**3/9 + 94*o. Factor z(p).
2*p*(p - 2)*(p - 1)*(p + 5)/3
Let f = 76 + -72. Factor -149*z**f + 8*z**3 + 74*z**4 - 2*z**3 + 72*z**4.
-3*z**3*(z - 2)
Let j be ((-21)/(-1))/(26 - 23). Let c(m) be the third derivative of 0*m - 1/70*m**j - 1/2*m**4 - 1/2*m**3 + 0 - 4*m**2 - 1/10*m**6 - 3/10*m**5. Factor c(b).
-3*(b + 1)**4
Let u(t) be the first derivative of t**6/36 + t**5/5 + 3*t**4/8 + 2*t**3/9 + 254. Factor u(h).
h**2*(h + 1)**2*(h + 4)/6
Let s(h) = -h**2 + 6*h + 12. Let z(x) = x**2 - 7*x - 12. Let j(m) = 4*s(m) + 5*z(m). Let j(l) = 0. What is l?
-1, 12
Let c(g) be the first derivative of -1/36*g**4 + 0*g**3 - 8*g + 0*g**2 + 2. Let x(a) be the first derivative of c(a). Factor x(h).
-h**2/3
Let s be (10/(-4))/(75/(-60)). Suppose 23 - 23 - 9*q**s + 3*q + 6*q**2 = 0. Calculate q.
0, 1
Let l(a) = 9*a**2 + 8*a - 13. Let s(o) = -4*o**2 + o + 1. Let h(m) = -l(m) - 2*s(m). Let h(g) = 0. Calculate g.
-11, 1
Let m(n) = n**2 + 3*n - 16. Suppose -25*p + 39*p = 42. Let u be m(p). Factor -2/5*f**5 - 2/5*f - 2/5 - 2/5*f**4 + 4/5*f**3 + 4/5*f**u.
-2*(f - 1)**2*(f + 1)**3/5
Let n(q) = 5*q**2 - 37*q + 26. Let f(z) = -5*z**2 + 40*z - 25. Let s(l) = 4*f(l) + 5*n(l). Let s(c) = 0. Calculate c.
2, 3
Determine t, given that -136/3 - 2/3*t**2 + 46*t = 0.
1, 68
Let z(y) be the second derivative of -y**4/66 + 31*y**3/11 + 94*y**2/11 - 38*y - 3. Factor z(o).
-2*(o - 94)*(o + 1)/11
Factor 0 - 1/2*x**3 - 392*x - 28*x**2.
-x*(x + 28)**2/2
Factor -2205 - 183*j - 73*j - 5*j**2 + 46*j.
-5*(j + 21)**2
Let d be 3/(57/19 + (-6)/(-4)). Determine k so that -d*k + 8/3*k**3 - 2*k**5 + 0 - 4/3*k**2 + 4/3*k**4 = 0.
-1, -1/3, 0, 1
Let g(y) = 3*y**3 + 6*y**2 + 11*y + 4. Let m(x) = 10*x**3 + 18*x**2 + 33*x + 11. Let d(z) = 21*g(z) - 6*m(z). Solve d(a) = 0.
-3, -2, -1
Suppose -5*v - 297*u = -302*u - 215, -5*u = v - 37. Find l, given that 106/3*l**2 - 8/3 - 68*l**3 - v*l**4 + 16/3*l = 0.
-2, -2/7, 1/3
Find f such that -2/13*f**3 + 6/13*f**2 + 2/13 - 6/13*f = 0.
1
What is r in r**3 - 219 - 36 + 70 + 246*r - 126*r**2 + r**3 + 63 = 0?
1, 61
Let b = 11 - 7. Suppose 3*g - 4 = 2. Let 6 - b + 3*i - i - g*i**2 - i - i**3 = 0. What is i?
-2, -1, 1
Let z(a) be the first derivative of a**4/28 + 2*a**3/21 - 4*a**2/7 + 41. Factor z(u).
u*(u - 2)*(u + 4)/7
Let a(b) be the third derivative of -b**7/735 + 53*b**6/105 - 2809*b**5/35 + 148877*b**4/21 - 7890481*b**3/21 + 102*b**2. Factor a(g).
-2*(g - 53)**4/7
Let n = 23 + -22. Let s be n - (-12)/(6 + -2). Suppose 2/9*f**5 + 0*f**2 + 2/9*f**3 + 0 - 4/9*f**s + 0*f = 0. What is f?
0, 1
Let b be 6/9*(-33)/(-2). Let u(z) = 2*z**3 - 22*z**2 + z - 9. Let h be u(b). Factor -2/19*n + 2/19*n**h - 4/19.
2*(n - 2)*(n + 1)/19
Determine q, given that 9/2*q + 0 + 3/4*q**3 - 21/4*q**2 = 0.
0, 1, 6
Let a(v) = 8*v**3 - 21*v**2 + 3*v. Let k(l) = 18*l**3 - 43*l**2 + 7*l. Let y(c) = 7*a(c) - 3*k(c). Factor y(d).
2*d**2*(d - 9)
Let h(r) be the first derivative of 2/33*r**3 + 72/11*r + 2 - 12/11*r**2. Factor h(a).
2*(a - 6)**2/11
Suppose 8*b**2 - 13157 - 880*b - 3*b**2 + 51877 = 0. Calculate b.
88
Let l(b) = -b - 7. Let v be l(-10). Let u be (1 + 4)*(-4)/(-30)*v. Determine r so that -1/2 + 1/2*r**u + 3/2*r - 3/2*r**3 = 0.
-1, 1/3, 1
Let x(v) be the third derivative of -v**6/30 + 13*v**5/15 - 8*v**4 + 24*v**3 + 4*v**2 - 30. Factor x(c).
-4*(c - 6)**2*(c - 1)
Let d(q) be the third derivative of q**6/150 - q**5/5 + 8*q**4/5 - 88*q**3/15 + 78*q**2. Factor d(g).
4*(g - 11)*(g - 2)**2/5
Let w be 3*8/(-12) + 1074/538. Let b = w - -1619/1345. Factor -b*k + 0 - 3/5*k**2 + 3/5*k**4 + 6/5*k**3.
3*k*(k - 1)*(k + 1)*(k + 2)/5
Let k(x) be the second derivative of -x**8/336 + x**7/56 + x**6/18 - 23*x**3/3 - 22*x. Let g(w) be the second derivative of k(w). Factor g(m).
-5*m**2*(m - 4)*(m + 1)
Let w(k) be the third derivative of 2/105*k**7 + 0 + 0*k - 4*k**2 + 2/15*k**5 + 0*k**4 + 0*k**3 - 1/10*k**6. Factor w(f).
4*f**2*(f - 2)*(f - 1)
Let o(m) be the first derivative of 2*m**3 - 6*m - 53 + 3/4*m**4 - 3/2*m**2. Factor o(f).
3*(f - 1)*(f + 1)*(f + 2)
Let -6 + 2/5*c**2 + 4/5*c = 0. What is c?
-5, 3
Find k such that 30*k - 5*k - 20 - 15 + 11*k + 4*k**2 - 5 = 0.
-10, 1
Suppose -6 = f - 2. Let s(c) = -2*c - 4. Let w be s(f). Factor 10*x**2 - 13*x**3 + w*x**5 - 2*x**2 - 7*x**3 + 8*x**3.
4*x**2*(x - 1)**2*(x + 2)
Suppose 4 = s - 5. Suppose -n = 3*n + 3*d - s, n - 2*d + 6 = 0. What is b in n + 1/2*b - 1/2*b**2 = 0?
0, 1
Let h(t) be the first derivative of 7*t**5/15 - 11*t**4/4 - 10*t**3/9 - 129. Factor h(p).
p**2*(p - 5)*(7*p + 2)/3
Suppose -8*a + 78 = -10. Factor x - 16*x**3 + 4*x - 16 + a*x + 4*x**2 + 12*x**3.
-4*(x - 2)*(x - 1)*(x + 2)
Let d = 9990 + -9986. Factor 1/8*f + 3/8*f**2 + 1/8*f**d + 0 + 3/8*f**3.
f*(f + 1)**3/8
Let t(d) be the first derivative of d**6/12 + d**5/10 - 3*d**4/4 - 2*d**3/3 + 2*d**2 - 92. Solve t(i) = 0 for i.
-2, 0, 1, 2
Let j(t) = -3*t**5 + 3*t**3 + 8*t**2 + 2*t. Let h(o) = 4*o**5 - o**4 - 3*o**3 - 8*o**2 - o. Let q(l) = 2*h(l) + 3*j(l). Factor q(s).
-s*(s - 2)*(s + 1)**2*(s + 2)
Let z(u) be the second derivative of -u**6/120 - u**5/8 - 3*u**4/4 - 9*u**3/4 - 27*u**2/8 - 2*u - 7. Determine k so that z(k) = 0.
-3, -1
Suppose 0 = -46*m + 48*m. Factor m + 4/9*g + 2/9*g**2.
2*g*(g + 2)/9
Let a(q) be the second derivative of -q**6/120 - q**5/40 + q**3/12 + q**2/8 + 43*q. Find k such that a(k) = 0.
-1, 1
Factor -21*o**2 - 153*o + 58*o**2 - 235*o**2 - 3 - 48*o + 0.
-3*(o + 1)*(66*o + 1)
Suppose -u = -4*n + 6, -13*n + 16*n + 2*u - 10 = 0. Factor 16/3*k - 6 + 2/3*k**n.
2*(k - 1)*(k + 9)/3
Factor -1/4*q**3 + 0 - 13/4*q**2 - 3*q.
-q*(q + 1)*(q + 12)/4
Determine r so that 4*r**3 - 25*r**2 + 5*r**4 - r**5 - 10*r + 6*r**5 - 8*r**3 - 3*r**3 - 8*r**3 = 0.
-1, 0, 2
Let x = -14 + 17. Determine o, given that 5 + 8 + x - 4*o**2 = 0.
-2, 2
Let q(h) = -17*h**2 - 20*h - 15. Let i(z) = -185*z**2 - 220*z - 165. Let o(b) = -6*i(b) + 65*q(b). Suppose o(j) = 0. What is j?
-3, -1
Let p(s) be the first derivative of s**6/280 + 3*s**5/140 - s**4/56 - 3*s**3/14 - 14*s**2 - 30. Let o(f) be the second derivative of p(f). Factor o(r).
3*(r - 1)*(r + 1)*(r + 3)/7
Let p(h) = -h**4 + h**3 + h**2. Let s(y) = 9*y**4 - 39*y**3 - 93*y**2 - 81*y. Let j(o) = -12*p(o) - s(o). Find a such that j(a) = 0.
-3, 0
Factor -140*s**3 - 44*s**4 - 2*s**5 - 47*s**2 + 2*s**5 - 53*s**2 - 4*s**5.
-4*s**2*(s + 1)*(s + 5)**2
Let y(l) be the second derivative of -7*l**6/40 - l**5/4 + l**4/4 - 4*l**2 - 15*l. Let j(k) be the first derivative of y(k). Factor j(u).
-3*u*(u + 1)*(7*u - 2)
Let w(h) be the first derivative of 85*h**3/3 + 95*h**2/2 + 10*h + 93. Factor w(r).
5*(r + 1)*(17*r + 2)
Let d(g) be the first derivative of 4*g**3 + 4/5*g**5 + 0*g - 13 - 2*g**2 - 3*g**4. Solve d(b) = 0 for b.
0, 1
Let v(q) be the second derivative of q**5/4 - 85*q**4/6 - 745*q**3/6 - 285*q**2 - 30*q - 2. Determine y, given that v(y) = 0.
-3, -1, 38
Let m(w) be the first derivative of w**5/510 + w**4/68 + 18*w**2 + 29. Let h(b) be the second derivative of m(b). Solve h(q) = 0.
-3, 0
Let y(d) be the third derivative of d**8/1008 - d**7/126 + d**6/180 + 2*d**5/45 + 105*d**2. Factor y(a).
a**2*(a - 4)*(a - 2)*(a + 1)/3
Let z = -44 + 26. Let k(i) = -i**3 - 17*i**2 + 18*i + 2. Let j be k(z). Factor -3*s**j + s**2 - 28 - 4*s + 26.
-2*(s + 1)**2
Let d be (-10)/(-55) + (-3)/((-627)/(-49)). Let c = 73/57 - d. Suppose 4/3*g - c - 4/3*g**3 + 1/3*g**4 + g**2 = 0. Calculate g.
-1, 1, 2
Let v(r) be the third derivative of -r**5/390 + 7*r**4/39 - 4*r**3/3 + 45*r**2 + r. Factor v(f).
-2*(f - 26)*(f - 2)/13
Factor -82/13*d + 42/13 - 4/13*d**2.
-2*(d + 21)*(2*d - 1)/13
Factor 0 + 1/3*w**4 - 10/3*w**2 + 0*w + 3*w**3.
w**2*(w - 1)*(w + 10)/3
Suppose 4*s = -9 - 3. Let d = s + 5. Solve 2*f + 0*f - 20*f**3 - 3*f**d + 21*f**3 = 0 for f.
0, 1, 2
Let k(z) = z**3 + 2*z**2 + 1. Let m(x) = -2*x**3 + 14*x**2 + 57*x + 43. Let y(p) = k(p) - m(p). Let y(v) = 0. Calculate v.
-2, -1, 7
Let h(r) be the second derivative of -2/147*r**7 + 2/21*r**4 - 2/21*r**3 - 2/7*r**2 + 0 - 2*r - 2/105*r**6 + 2/35*r**5. Determine g so that h(g) = 0.
-1, 1
Let m(i) be the second der