e the third derivative of 2*f**7/105 - f**6/15 - 4*f**5/5 - 7*f**4/3 - 10*f**3/3 + f**2 + 11. Determine u, given that n(u) = 0.
-1, 5
Let o(m) = -7*m**3 + 3*m**2 - 39*m - 47. Let f(g) = 3*g**3 - g**2 + 20*g + 24. Let p(r) = -9*f(r) - 4*o(r). Factor p(q).
(q - 7)*(q + 2)**2
Let q(u) be the first derivative of -6/7*u**3 + 3/7*u**2 - 16 + 0*u. Determine y so that q(y) = 0.
0, 1/3
Determine o, given that 27/2*o**2 + 18*o**3 + 6*o**4 + 0 + 3*o = 0.
-2, -1/2, 0
Let g = 59/9 + -58/9. Let d(x) be the third derivative of -g*x**3 + 1/18*x**4 - 1/90*x**5 + 0*x - 2*x**2 + 0. Factor d(i).
-2*(i - 1)**2/3
Suppose m + 5*q = -31, 4*m - 2*q = q - 9. Let x be (-9)/m + 2 + -2. Factor 9/2 + x*r**2 - 6*r.
3*(r - 3)*(r - 1)/2
Let r(t) = 2*t. Let s be r(0). Suppose -3*m + 7*m - 8 = s. Suppose 5*y - 1 - 21/4*y**m = 0. What is y?
2/7, 2/3
Factor 2/9 + 2/9*i**2 - 4/9*i.
2*(i - 1)**2/9
Let z(g) = -g**3 + 5*g**2 - g + 3. Let q be z(5). Let p(x) = 2*x**2 + 2*x + 1. Let j be p(q). Factor 5*r**j + 0*r**2 + r**2 + 2*r**3 - r**2 + 7*r**4.
r**3*(r + 1)*(5*r + 2)
Let b(f) be the third derivative of -1/180*f**6 - 8/945*f**7 + 7/270*f**5 + 19*f**2 + 0 + 1/378*f**8 + 0*f**3 - 1/54*f**4 + 0*f. Solve b(y) = 0.
-1, 0, 1/2, 2
Let b(f) be the first derivative of -3*f**5/5 + 6*f**4 - 20*f**3 + 24*f**2 + 294. Determine h, given that b(h) = 0.
0, 2, 4
Let z(n) = 2*n**3 + n**2 + 2*n - 1. Let d(m) = -19*m**3 + 5*m**2 - 74*m + 73. Let y(c) = 2*d(c) + 18*z(c). Find o such that y(o) = 0.
2, 4, 8
Solve -777*p + 288*p**2 - 4*p**4 + 137*p + 438 + 10 - 32*p**3 = 0.
-14, 2
Let w(t) be the third derivative of -t**11/1995840 + t**9/181440 - t**7/30240 + 7*t**5/30 - 6*t**2. Let o(z) be the third derivative of w(z). Solve o(d) = 0.
-1, 0, 1
Let q be (-3)/20*464/(-174). Find u, given that -q*u + 0 - 1/5*u**2 = 0.
-2, 0
Find b, given that 16*b + 0 - 10/3*b**3 + 4/3*b**2 - 2/3*b**4 = 0.
-4, -3, 0, 2
Suppose -3*p = -3*a - 9, -2*a + 5*a - 2*p + 6 = 0. Let f(d) be the first derivative of 1/14*d**2 + 3 + a*d + 1/21*d**3. Solve f(h) = 0.
-1, 0
Let z(w) be the third derivative of w**7/350 + w**6/100 - 3*w**2 + 7. Suppose z(n) = 0. Calculate n.
-2, 0
Let 289*l**2 - 2*l**4 - 287*l**2 + 0*l**4 = 0. What is l?
-1, 0, 1
Let l = 129 + -125. Factor -u**2 - u**4 + 2*u**3 + 5*u**4 - 2*u**4 - 3*u**l.
-u**2*(u - 1)**2
Let d(q) be the second derivative of -q**7/14 + 2*q**6/5 - 3*q**5/4 + q**4/2 + 124*q. Let d(b) = 0. What is b?
0, 1, 2
Suppose -o + 10 = -0*a + 4*a, 0 = 5*a - 2*o - 6. Let l = -4 + 11. Determine q so that -a*q**3 - 5*q**5 + 12*q**4 - 2*q**3 + 7*q**2 - l*q**2 = 0.
0, 2/5, 2
Factor 26/9*j**2 - 8/9*j + 8/9*j**3 - 26/9.
2*(j - 1)*(j + 1)*(4*j + 13)/9
Suppose 2*v + 16 = 6*v. Find w such that -20*w + 15*w**3 + 13*w**v + 14*w**4 - 22*w**4 = 0.
-2, 0, 1
Solve 76/7*a - 4/7*a**2 + 80/7 = 0.
-1, 20
Factor 6/7*w**3 + 3/7*w**4 + 0 - 6/7*w - 3/7*w**2.
3*w*(w - 1)*(w + 1)*(w + 2)/7
Let v(a) be the second derivative of -a**4/36 + 11*a**3/18 + 2*a**2 - 96*a. Factor v(x).
-(x - 12)*(x + 1)/3
Let i be 189/18 + -12 - (-23)/14. Let n(b) be the first derivative of i*b**2 + 4/7*b + 6 - 2/21*b**3. What is c in n(c) = 0?
-1, 2
Let a(q) = 7*q**2 + 998*q - 15. Let t(l) = -48*l**2 - 6988*l + 100. Let r(s) = -20*a(s) - 3*t(s). Factor r(w).
4*w*(w + 251)
Let d be 8/(-6)*(-462)/2464. Suppose 1/4*c**2 + c - 1 - d*c**3 = 0. What is c?
-2, 1, 2
Let r = 3/19 - 8/171. Let j(p) be the first derivative of 0*p - 3 + 0*p**2 - r*p**3 + 1/12*p**4. Factor j(y).
y**2*(y - 1)/3
Determine s so that -3*s - 12*s**5 + 17*s**5 - 10*s**4 + 6*s**2 + 4*s**2 - 2*s = 0.
-1, 0, 1
Let i(v) be the first derivative of 3 + 1/9*v**3 + 5/6*v**2 + 0*v. Solve i(b) = 0.
-5, 0
Let a(z) = 379*z + 7. Let t be a(1). Find x such that 72*x**4 + 312*x**3 + 30*x - 18*x + 8 + 92*x + t*x**2 = 0.
-2, -1/6
Factor -51*m**4 - 84*m**3 - 5*m**5 + 42*m**4 - 52*m**2 - 51*m**4 - 12*m - 11*m**5.
-4*m*(m + 1)**3*(4*m + 3)
Let p(x) = -21*x**2 - 202*x + 24. Let w(k) = k**2 + 4*k + 2. Let r(f) = p(f) - 3*w(f). Suppose r(n) = 0. What is n?
-9, 1/12
Let a(y) = y**2 + 2*y - 118. Let x be a(-12). Let c(f) be the third derivative of 1/40*f**6 + f**x + 0*f + 0 + f**3 - 3/8*f**4 + 0*f**5. Factor c(t).
3*(t - 1)**2*(t + 2)
Let g(t) be the first derivative of -t**4/4 + 6*t**3 + 3*t + 27. Let c be g(18). Suppose 1/6*a + 1/6*a**c + 0 - 1/3*a**2 = 0. What is a?
0, 1
Let n(c) be the first derivative of -2/9*c**2 + 1/9*c**4 - 30 + 2/27*c**3 + 0*c - 2/45*c**5. Factor n(s).
-2*s*(s - 2)*(s - 1)*(s + 1)/9
Let b(m) be the third derivative of -1/1680*m**8 + 0*m**4 + 0*m**3 + 1/1050*m**7 + 0*m + 0 + 1/300*m**6 - 8*m**2 + 0*m**5. Determine v, given that b(v) = 0.
-1, 0, 2
Let j = 59 + -40. Let d = j - 4. Suppose -d*v**2 - 21*v**2 + 45*v**3 + 3*v + v + 36*v**3 = 0. Calculate v.
0, 2/9
Let w(o) be the second derivative of -3*o**5/10 + 50*o**4/3 + 173*o**3/3 + 70*o**2 + 103*o - 1. Solve w(d) = 0.
-1, -2/3, 35
Let v(s) be the third derivative of s**5/12 + s**4/12 + 6*s**2. Let c(m) = m**2. Let q(n) = -6*c(n) + 2*v(n). Factor q(l).
4*l*(l + 1)
Let d = -4429/2 + 2215. Let n = -6/23 - -35/46. Factor n*m**2 - d - 1/2*m**3 + 1/2*m.
-(m - 1)**2*(m + 1)/2
Let d(u) be the first derivative of 3*u**5/25 - 6*u**4/5 + 21*u**3/5 - 33*u**2/5 + 24*u/5 - 152. Factor d(b).
3*(b - 4)*(b - 2)*(b - 1)**2/5
Let w(z) be the second derivative of 8*z - 1/10*z**4 + 3/100*z**5 + 1/10*z**3 + 0 + 0*z**2. Suppose w(t) = 0. Calculate t.
0, 1
Let y(v) be the third derivative of v**8/112 + 3*v**7/70 - 3*v**6/20 - v**5/2 + 21*v**4/8 - 9*v**3/2 + 153*v**2. Determine k so that y(k) = 0.
-3, 1
Let r be (-28)/(-12) - (-1)/(-3). Suppose 4*t - r*t = 36. Suppose -12 + 33*c**4 - 6*c**5 - 4*c**3 + 36*c - t*c**3 - 5*c**3 - 21*c**2 - 3*c**5 = 0. What is c?
-1, 2/3, 1, 2
Let d(r) = r**3 + 6*r**2 - r - 4. Let t be d(-6). Factor -4*q**4 + 11*q**3 - 16*q**t + 14*q**3 - 9*q**3.
-4*q**2*(q - 2)**2
Let v(c) be the first derivative of 3*c**3 + 0*c + 3*c**2 + 21 + 3/20*c**5 + 9/8*c**4. Determine j so that v(j) = 0.
-2, 0
Let o = 324/11 - 928/33. Factor 4/3*j**3 - 8/3*j**2 + 2 - o*j + 2/3*j**4.
2*(j - 1)**2*(j + 1)*(j + 3)/3
Let g(j) be the first derivative of j**4/2 - 4*j**3 + 9*j**2 - 113. Factor g(f).
2*f*(f - 3)**2
Solve -2*z - 4/3 - 2/3*z**2 = 0 for z.
-2, -1
Let j(u) = -u**2 + 6*u + 6. Let v be j(-4). Let k = 37 + v. Let 2/3*g**k + 0 - 2/3*g + 0*g**2 = 0. What is g?
-1, 0, 1
Let n(t) be the first derivative of 4*t - 10 - 1/5*t**5 - 2*t**2 + t**4 - t**3. Find i, given that n(i) = 0.
-1, 1, 2
Let t(s) be the third derivative of -s**5/270 - s**4/4 + 28*s**3/27 - s**2 + 15*s. Determine y so that t(y) = 0.
-28, 1
Let q(x) = -x**3 + 91. Let w be q(0). Let b be (-14)/w + (-28)/(-13). Let -z**4 + 2*z**b + 2*z + 3*z**2 - 2*z**2 + 0*z**2 = 0. Calculate z.
-1, 0, 2
Let f(d) be the first derivative of 5*d**3/3 - 25*d**2/2 + 20*d - 57. Factor f(y).
5*(y - 4)*(y - 1)
Let t(c) be the third derivative of c**7/105 - c**6/60 - c**5/5 + c**4/3 + 8*c**3/3 + 7*c**2 - 3*c. Factor t(d).
2*(d - 2)**2*(d + 1)*(d + 2)
Let m(c) be the second derivative of c**5/70 - 62*c**4/7 + 15376*c**3/7 - 1906624*c**2/7 - 519*c. Factor m(z).
2*(z - 124)**3/7
Let a = -15473/12 - -3869/3. Factor 0 + 3/4*h + a*h**4 + 7/4*h**2 + 5/4*h**3.
h*(h + 1)**2*(h + 3)/4
Suppose -11 = t - 5*a, -3*a + 0*a = 3*t - 21. Factor 0 + 1/2*g**5 - g**2 + 0*g**t + 0*g - 3/2*g**3.
g**2*(g - 2)*(g + 1)**2/2
Let x(b) be the second derivative of -b**6/6 - 169*b**5/4 + 855*b**4/4 - 2575*b**3/6 + 430*b**2 + 435*b. Solve x(i) = 0 for i.
-172, 1
Let c(x) be the first derivative of 3*x**5/25 + 21*x**4/20 + 16*x**3/5 + 18*x**2/5 - 300. Suppose c(i) = 0. Calculate i.
-3, -2, 0
Let h(s) = s**2 + 49. Let y(o) = -o**2 + 17*o - 16. Let q be y(16). Let p be h(q). Solve -3*b + 0*b**4 + 49 + 3*b**2 - p - 3*b**4 + 3*b**3 = 0.
-1, 0, 1
Suppose -80/9*l**4 + 0 - 266/3*l**3 + 800/9*l - 2/9*l**5 + 80/9*l**2 = 0. What is l?
-20, -1, 0, 1
Factor 5408/5 + 36/5*i**3 - 1872/5*i - 46/5*i**2 + 2/5*i**4.
2*(i - 4)**2*(i + 13)**2/5
Factor 0*d**2 + 1/3*d**3 - 13/3*d - 4.
(d - 4)*(d + 1)*(d + 3)/3
Let b(z) be the first derivative of -16*z**6/45 + 208*z**5/75 - 73*z**4/30 - 208*z**3/15 - 48*z**2/5 + 155. Find n such that b(n) = 0.
-3/4, 0, 4
Determine w, given that 6/7*w**2 + 0*w - 3/7*w**4 - 3/7 + 0*w**3 = 0.
-1, 1
Let h be (3/(-24)*-4)/((-2)/12). Let j be h/9 