 + 1)**3/17
Let z(c) be the second derivative of c**5/8 + 65*c**4/4 + 255*c**3/4 + 95*c**2 + 378*c. Find o such that z(o) = 0.
-76, -1
Let q(w) be the second derivative of w**4/96 - 145*w**3/24 + 21025*w**2/16 + 6*w + 50. Determine z, given that q(z) = 0.
145
Suppose -11*l + 15*l = 12. Let o be ((-6)/(-36))/(1/l). What is p in -3/4*p + 1/4*p**2 + o = 0?
1, 2
Solve -1/5*o**5 - 6/5*o**3 - o**4 + 7/5*o + 3/5 + 2/5*o**2 = 0 for o.
-3, -1, 1
Let s = 65/7 - 7. Suppose 10/7*o**3 - 2/7*o**4 + 0 - s*o**2 + 8/7*o = 0. What is o?
0, 1, 2
Factor 0*y - 116*y**3 - 169/3*y**5 + 0 - 24*y**2 - 494/3*y**4.
-y**2*(y + 2)*(13*y + 6)**2/3
Let a(b) = 5*b**4 + 9*b**3 + 4*b**2 + 13. Let h(r) = -2*r**4 - 4*r**3 - 2*r**2 - 6. Let w(v) = 6*a(v) + 13*h(v). Determine q so that w(q) = 0.
-1, 0, 1/2
Determine i so that 216 + 196 + 375*i + 5*i**3 + 129 + 144 - 60 + 75*i**2 = 0.
-5
Let g(u) be the second derivative of -u**4/42 + 2*u**3/7 + u**2 - 7*u + 2. Let g(m) = 0. What is m?
-1, 7
Factor -18/5*j - 2/5*j**3 - 8/5 - 12/5*j**2.
-2*(j + 1)**2*(j + 4)/5
Let y be 247/((-103740)/(-1944)) - 2/(-14)*-3. What is l in -y*l**3 - 3/5*l - 9/5*l**4 - 3*l**2 + 0 = 0?
-1, -1/3, 0
Suppose 0 - 15/2*u - 1/2*u**3 + 8*u**2 = 0. Calculate u.
0, 1, 15
Suppose 880*q + 38 = 899*q. Suppose -10/3*t**3 + 0 - 4/3*t + 14/3*t**q = 0. Calculate t.
0, 2/5, 1
Let i = -13891 + 41681/3. Solve -2/3*v**4 + 10/3*v**3 - 10/3*v + i - 2*v**2 = 0 for v.
-1, 1, 4
Let n(j) be the first derivative of 1/7*j**2 - 2/7*j + 2/21*j**3 - 1/14*j**4 - 3. Suppose n(h) = 0. What is h?
-1, 1
Let d(s) be the first derivative of -5*s**6/6 - 10*s**5 - 15*s**4 + 120*s**3 - 81. Suppose d(a) = 0. What is a?
-6, 0, 2
Let g(o) = -o**2 + o + 5. Let t(d) = -d**2 - 14*d - 195. Let v(w) = -6*g(w) + t(w). Let v(k) = 0. Calculate k.
-5, 9
Find c, given that -10*c**2 + 41*c - 5 - 19*c + 1 = 0.
1/5, 2
Let h be -1 + 2/(-8) - (1895/(-140) + 12). Factor 2/7*j - h*j**2 + 0.
-2*j*(j - 1)/7
Let u = 13 + -9. Solve 86*d**3 - 304*d - 21*d**4 + 5*d**u - 116*d**2 - 12 - 6*d**3 + 368*d = 0.
1/2, 1, 3
Suppose 4*w - 244 = -4*c, 4*c - 99 = 2*w + 151. Let m be 30/(-135) + c/36. Let 0*z**2 + 0 - m*z**3 + 3/2*z = 0. What is z?
-1, 0, 1
Let l(i) be the first derivative of 5*i**4/18 - 44*i**3/27 + 8*i**2/9 - 304. Let l(j) = 0. Calculate j.
0, 2/5, 4
Let l(m) = m**5 + 3*m**4 - 3*m**3 + 8*m**2 - 3. Let o(i) = 3*i**5 + 9*i**4 - 7*i**3 + 16*i**2 - 7. Let a(u) = 7*l(u) - 3*o(u). Find y, given that a(y) = 0.
-2, 0, 1
Let v = 75 - 71. Let u be (20/6)/((-4)/(-6)). Let 3*g + v*g**3 - 16*g**2 - u*g + 8*g + 10*g = 0. Calculate g.
0, 2
Let x(v) = -8*v - 12. Let h be x(-2). Let g(m) be the second derivative of -9/100*m**5 + 9*m + 0*m**3 + 0 - 1/10*m**h + 0*m**2. Factor g(p).
-3*p**2*(3*p + 2)/5
Let y(b) be the first derivative of -b**5/10 - 3*b**4/8 - b**3/2 - b**2/4 + 58. Factor y(f).
-f*(f + 1)**3/2
Let u(g) be the first derivative of g**4/14 + 8*g**3/21 - 12*g**2/7 + 17. Factor u(d).
2*d*(d - 2)*(d + 6)/7
Solve 22*u**2 + 0 + 2*u + 2*u**3 + 3 + 14*u - 22 - 21 = 0 for u.
-10, -2, 1
Let j = 217/2 - 105. Let m = j - 3. Suppose 1/4*q**2 + m*q + 1/4 = 0. Calculate q.
-1
Suppose -22 = -q - 6. Factor -12*y**2 - y**4 + 5*y**4 - 81*y + 8*y**3 + 49*y - q.
4*(y - 2)*(y + 1)**2*(y + 2)
Let m(d) be the second derivative of d**4/54 - 2*d**3/27 - 8*d**2/9 - 14*d + 1. Factor m(z).
2*(z - 4)*(z + 2)/9
Factor -602*v**2 + 336*v - 16 - 506*v**2 - 10*v**2 - 646*v**2.
-4*(21*v - 2)**2
Let d be 4200/275 + -4 + -8. Factor -2/11*q**2 - d*q - 162/11.
-2*(q + 9)**2/11
Suppose -38*y - u = -43*y - 2, -10*u + 20 = 0. Factor 4/9*r**2 - 2/3*r + 2/9*r**3 + y.
2*r*(r - 1)*(r + 3)/9
Let y(z) be the third derivative of 0*z**4 + 37*z**2 + 0*z + 0 + 0*z**5 + 1/756*z**8 + 0*z**6 + 0*z**3 + 2/945*z**7. Factor y(l).
4*l**4*(l + 1)/9
Let r = -2/2073 + 18695/39387. Let q = r - -1/38. Factor 5/2*i + 1/2*i**4 - q*i**3 - 1 - 3/2*i**2.
(i - 1)**3*(i + 2)/2
Suppose 0*d = 5*d - 20. Solve -4 + 8*w**3 - 3*w + 8*w**d + 5*w**4 - 5*w - 9*w**4 = 0 for w.
-1, 1
Let p = -28 - -32. Let d(q) = 14*q**4 + 12*q**3 + 6*q**2 - 4*q. Let w(n) = 15*n**4 + 11*n**3 + 6*n**2 - 5*n. Let u(b) = p*w(b) - 5*d(b). Factor u(i).
-2*i**2*(i + 1)*(5*i + 3)
Factor 65/3*r + 40/3*r**2 + 10 + 5/3*r**3.
5*(r + 1)**2*(r + 6)/3
Let j(u) be the second derivative of 0 - 27*u - 2/21*u**3 - 1/7*u**2 + 1/14*u**4. Factor j(f).
2*(f - 1)*(3*f + 1)/7
Let u(s) be the third derivative of 0*s**3 - 2*s - 1/240*s**6 - 23*s**2 + 7/30*s**5 - 49/12*s**4 + 0. Let u(o) = 0. What is o?
0, 14
Let w = 36 + -32. Factor 3*a + a**4 - 2*a**2 + 5*a**3 + w*a**2 + 5*a**2.
a*(a + 1)**2*(a + 3)
Let q(g) = -17*g**4 - 8*g**3 + 23*g**2 + 5*g + 3. Let o(n) = -18*n**4 - 7*n**3 + 22*n**2 + 5*n + 2. Let p(u) = 3*o(u) - 2*q(u). Suppose p(h) = 0. What is h?
-1, -1/4, 0, 1
Factor 2/5*u**2 + 6 - 2/5*u**3 + 34/5*u.
-2*(u - 5)*(u + 1)*(u + 3)/5
Let n(a) be the second derivative of a**7/63 - a**5/6 + 4*a**3/9 - 400*a. Suppose n(j) = 0. Calculate j.
-2, -1, 0, 1, 2
Let y(h) be the first derivative of 16 + 46/15*h**3 + 0*h - 6/5*h**2 - 14/5*h**4 + 22/25*h**5. Factor y(o).
2*o*(o - 1)**2*(11*o - 6)/5
Let j(m) be the first derivative of m**6/3 + 2*m**5/5 - m**4/2 - 2*m**3/3 + 445. Determine f so that j(f) = 0.
-1, 0, 1
Let -522*x**3 + 510*x**3 + 0*x**4 + 2*x**4 - 32*x**2 = 0. Calculate x.
-2, 0, 8
Let x(g) be the first derivative of g**4/12 + 5*g**3/6 + 31*g + 57. Let i(u) be the first derivative of x(u). Find p, given that i(p) = 0.
-5, 0
Let y(s) = -5*s**4 + 7*s**3 - 33*s**2 + s + 54. Let h(x) = -x**4 - x**3 - x + 1. Let r(j) = 12*h(j) - 3*y(j). Factor r(a).
3*(a - 5)**2*(a - 2)*(a + 1)
Let n(d) be the second derivative of -3*d**5/4 + 9*d**4/2 + 4*d**3 - 212*d. Factor n(z).
-3*z*(z - 4)*(5*z + 2)
Let v(x) be the first derivative of -3/5*x**2 + 0*x + 0*x**4 + 12/25*x**5 + 5 - 4/5*x**3 + 1/5*x**6. Find f, given that v(f) = 0.
-1, 0, 1
Let h be 2 - (-9 - (8 + -16)). Let f(d) be the second derivative of -1/45*d**3 - 3/50*d**5 - 1/15*d**4 + 0 + 0*d**2 + h*d. What is z in f(z) = 0?
-1/3, 0
Let o(h) be the first derivative of h**3 + 285*h**2 + 27075*h - 312. Factor o(d).
3*(d + 95)**2
Let p(o) = 3 - o - 4 + 7 - 1. Let n be p(3). Determine t so that -t - 2 - t - 4*t - n + 2*t**3 = 0.
-1, 2
Let g(b) = -b**3 - 3*b**2 + 2*b - 5. Let j be g(-4). Let a be 468/(-104) + (-6 - -1)*-1. Suppose -1/2*r**2 + 1/3*r**j + 0 - 1/3*r + a*r**4 = 0. What is r?
-1, -2/3, 0, 1
Let d(r) be the second derivative of r**8/3360 + r**7/1680 - 4*r**3/3 - 10*r. Let i(x) be the second derivative of d(x). Factor i(u).
u**3*(u + 1)/2
Let t(r) be the first derivative of -r**4/12 + 8*r**3/9 - 5*r**2/2 + 268. Factor t(s).
-s*(s - 5)*(s - 3)/3
Suppose 151*c = 146*c. Let h(a) be the second derivative of 0 - 9/40*a**5 + c*a**2 + 1/20*a**6 + 6*a + 0*a**3 + 1/4*a**4. Factor h(z).
3*z**2*(z - 2)*(z - 1)/2
Suppose 0 = 4*g - v - 10, -2*v + 3 = g - 4. Factor -g*y**4 + y**2 - 6*y**2 + 5*y**5 + 8*y**4 - 5*y**3.
5*y**2*(y - 1)*(y + 1)**2
Let u(n) = n**3 + 5*n**2 - 6*n. Let r be u(-6). Suppose r*w + 4*c + 18 = 5*w, -4*w + c = -10. Determine o so that -6*o**w + 300 - 9*o - o**3 - 300 = 0.
-3, 0
Factor 43/4*f + 1/4*f**3 - 7/2*f**2 - 15/2.
(f - 10)*(f - 3)*(f - 1)/4
Let q = -9 - -12. Let m be q/(-1) + 36/3. Find v such that -10*v**5 + v + m*v**3 + 2*v + 7*v**5 - 15*v**2 - 9*v**5 + 15*v**4 = 0.
-1, 0, 1/4, 1
Suppose 7*b = 39*b - 160. Factor 4/3*c**2 + 4/3*c**b - 4/3*c**3 + 0*c + 0 - 4/3*c**4.
4*c**2*(c - 1)**2*(c + 1)/3
Let t be 4/(-33)*(23 - 882/36). Factor 2/11*b**2 - t + 0*b.
2*(b - 1)*(b + 1)/11
Let l(p) be the first derivative of p**5/35 + p**4/28 - 4*p**3/21 - 2*p**2/7 + 28. Suppose l(a) = 0. What is a?
-2, -1, 0, 2
Let z(a) be the third derivative of -a**9/3780 + 17*a**4/24 - 21*a**2. Let m(b) be the second derivative of z(b). Suppose m(i) = 0. Calculate i.
0
Suppose -3 = -0*x - x. Let m(u) = 17*u - 94. Let z be m(6). Factor 40*k**2 + 16*k + z - 30*k**2 + 2*k**3 + 0*k**x.
2*(k + 1)*(k + 2)**2
Let h(d) be the third derivative of d**9/15120 + d**8/2520 - d**7/180 + d**6/45 - 17*d**5/60 + 13*d**2. Let f(b) be the third derivative of h(b). Factor f(q).
4*(q - 1)**2*(q + 4)
Let d(y) be the third derivative of 7/40*y**6 + 0*y**3 + 1/10*y**5 + 3/112*y**8 + 0*y**4 + 4/35*y**7 + 0 - 22*y**2 + 0*y. Find u, given that d(u) = 0.
-1, -2/3, 0
Let h(q) be the third 