(c).
-2*(c - 1)*(c + 1)**2
Let r be (2 - 4)*(-2 + 1). Suppose -r*c - 2*c = -12. Factor 3*s + 13*s**2 + 0*s**2 + 1 + 5*s + c*s**2.
(4*s + 1)**2
Let c(s) be the third derivative of s**5/720 + 31*s**4/288 - 11*s**3/12 - 207*s**2. Factor c(p).
(p - 2)*(p + 33)/12
Determine w, given that -46/3*w**3 + 529/3*w**2 + 0 + 1/3*w**4 + 0*w = 0.
0, 23
Let v be ((-8)/12*-3)/((-2)/(-4)). Let l(a) be the second derivative of 1/20*a**v + 0 - 2/5*a**3 + 12*a + 6/5*a**2. Factor l(m).
3*(m - 2)**2/5
Let h be (-1)/(-15)*((-45)/(-20) - 1). Let o(p) be the second derivative of 0 + h*p**4 + 0*p**3 - 3*p - 1/2*p**2. Solve o(g) = 0.
-1, 1
Let t = 80 - 73. Let r(n) = 2*n**3 - 9*n**2 + 3*n - 7. Let b(p) = -p**3 + 4*p**2 - p + 3. Let v(h) = t*b(h) + 3*r(h). Determine l so that v(l) = 0.
-1, 0, 2
Let w(b) = -42*b**2 - 51*b. Let v(y) = y**3 - 3*y. Let f(a) = 9*v(a) - w(a). Solve f(n) = 0.
-4, -2/3, 0
Let z(s) be the first derivative of s**4/36 - 2*s**3/9 + 2*s**2/3 + 8*s + 10. Let l(p) be the first derivative of z(p). Solve l(f) = 0.
2
Let l = 73/9 - 5831/720. Let c(f) be the third derivative of 0*f**3 + 0 + 0*f + 0*f**4 - 1/40*f**5 + 6*f**2 + l*f**6. Factor c(o).
3*o**2*(o - 1)/2
Let y(b) be the first derivative of -4*b**3/3 + 8*b**2 + 77. Let y(t) = 0. Calculate t.
0, 4
Let h(t) be the first derivative of -1/15*t**3 - 4/5*t - 33 + 1/2*t**2. Let h(v) = 0. What is v?
1, 4
Suppose 0 = 5*o - 2*y - 13 + 1, -o + 4*y = -6. Let v be ((-1)/2)/(5/(-20)). Solve -32 + 58*b - 10*b + 72*b**2 - 124*b**3 - o*b**4 + 36*b**5 + v*b**4 = 0 for b.
-2, -2/3, 2/3, 1
Let o = 50 + -46. Let -79 + 6*y + 27*y**o + 79 - 21*y**2 = 0. What is y?
-1, 0, 1/3, 2/3
Suppose -2/9*l**3 - 8/3 - 2/3*l**2 + 32/9*l = 0. Calculate l.
-6, 1, 2
Let d be 0 + 194/(-75)*2/(-8). Let o = d + -12/25. Factor o*h**4 + 2/3*h**3 + 1/3*h + 0 + 5/6*h**2.
h*(h + 1)**2*(h + 2)/6
Let v(h) be the first derivative of -6/5*h**5 + 0*h - 15 - 1/3*h**6 + 0*h**2 + 0*h**4 + 8/3*h**3. Determine f so that v(f) = 0.
-2, 0, 1
Let s be (-35)/(-15)*14/441*3. Let o(b) be the first derivative of -2/3*b + 2/27*b**3 - s*b**2 - 13. Factor o(y).
2*(y - 3)*(y + 1)/9
Let q(d) be the third derivative of 0 - 10*d**2 + 0*d**3 - 1/36*d**5 + 0*d**4 + 0*d + 1/24*d**6 + 2/63*d**7. Find h such that q(h) = 0.
-1, 0, 1/4
Let m = -210 - -314. Let y = m + -102. Solve 2/3*q**y + 0 - 2/3*q = 0 for q.
0, 1
Let z(w) be the third derivative of -w**6/540 - 23*w**5/270 - 14*w**4/9 - 44*w**3/3 - 514*w**2. Factor z(s).
-2*(s + 6)**2*(s + 11)/9
Suppose 2*y + 3*z - 6 = -0, -5*y + 3*z - 6 = 0. Factor -7*i - 3*i + 5 - i**2 + y*i - 30.
-(i + 5)**2
Factor 187/2*d - 363/2 - 25/2*d**2 + 1/2*d**3.
(d - 11)**2*(d - 3)/2
Let d(w) be the third derivative of 0 + 1/840*w**6 - 11*w**2 + 0*w + 0*w**4 + 0*w**3 + 1/1470*w**7 - 1/210*w**5. Suppose d(c) = 0. What is c?
-2, 0, 1
Determine o so that 28*o + 2*o**4 + 37779*o**3 - 98 - 37807*o**3 + 97*o**2 - o**2 = 0.
-1, 1, 7
Let b(k) = -3*k - 2. Let w(n) = 2*n**2 - 26*n + 34. Let z(g) = -2*b(g) - w(g). Find r such that z(r) = 0.
1, 15
Let w be (-24 + 18)*((-7)/12)/7. Find u, given that 1/4*u**5 + 1/2 + 1/4*u + w*u**4 - 1/2*u**3 - u**2 = 0.
-2, -1, 1
Find q such that 3/7*q - 12/7*q**2 - 3/7*q**3 + 12/7 = 0.
-4, -1, 1
Let i be 6 - (-12)/3*1. Solve -2*q**4 + 8*q**3 - 2*q**4 - i*q**3 + q**2 + 3*q**4 + 2*q = 0 for q.
-2, -1, 0, 1
Suppose 12 + 22/5*p**3 + 122/5*p + 82/5*p**2 + 2/5*p**4 = 0. What is p?
-5, -3, -2, -1
Let d(k) = k**4 + k**3 + k - 1. Let a(o) = -3*o**4 + 126*o**3 - 39*o**2 + 6*o - 6. Let m(f) = -a(f) + 6*d(f). What is q in m(q) = 0?
0, 1/3, 13
Let y be (-441)/(-1440)*(-1 - -7). Let k(x) be the third derivative of -1/8*x**3 + 21/32*x**4 + 0 - y*x**5 - 3*x**2 + 0*x + 343/160*x**6. Factor k(j).
3*(7*j - 1)**3/4
Suppose 61*l = -21*l + 140 + 270. Determine r, given that 6/5*r**4 - 6/5*r**2 + 0 - 4/5*r + 8/5*r**3 - 4/5*r**l = 0.
-1, -1/2, 0, 1, 2
Let c be (4/5)/((-10)/(-25)). Suppose 16 = -11*q + 38. Solve -f**3 + 1/4 + q*f**c - 5/4*f = 0 for f.
1/2, 1
Suppose 3*x + 354 = 369. Let j(c) be the second derivative of 0 + 0*c**3 - 1/70*c**x + 0*c**2 - 6*c + 1/105*c**6 + 0*c**4. Suppose j(d) = 0. What is d?
0, 1
Let f be (9 + 209/(-22))*-8. Factor -1/8*s**2 + 3/8*s**3 - 1/8*s**f + 1/4 - 3/8*s.
-(s - 2)*(s - 1)**2*(s + 1)/8
Let p(h) be the first derivative of h**6/450 - h**5/150 - 5*h**3/3 + 13. Let d(n) be the third derivative of p(n). Suppose d(x) = 0. What is x?
0, 1
Let w(q) be the third derivative of -q**7/30 + q**6/24 + q**5/30 + 7*q**2 + 2*q. Find h, given that w(h) = 0.
-2/7, 0, 1
Let k(v) be the first derivative of -2*v**3/21 - 41*v**2/7 - 156*v/7 + 139. Solve k(d) = 0.
-39, -2
Solve 6*k + 16/11*k**2 + 0 - 2/11*k**3 = 0 for k.
-3, 0, 11
Suppose 1 = 6*m - 29. Factor 12*x**4 + 4*x**3 - 2*x**2 - 6*x**m + 10*x**5 - 10*x**2 - 8*x.
4*x*(x - 1)*(x + 1)**2*(x + 2)
Let a(z) be the second derivative of -z**5/15 + z**4/27 + 14*z**3/27 - 10*z**2/9 + z - 126. Factor a(f).
-4*(f - 1)**2*(3*f + 5)/9
Let c = -7 - -11. Let 3*n**c - 33*n**2 - 96*n - n**3 + 192 - 3*n**2 - 4*n**3 + 17*n**3 = 0. Calculate n.
-4, 2
Let x = -1804 - -9024/5. Suppose 0 + 0*t + 0*t**2 + x*t**3 + 2/5*t**4 = 0. Calculate t.
-2, 0
Let k = -27917 - -27920. Let -2/5*d**4 - 16/5*d**2 + 18/5 - 12/5*d**k + 12/5*d = 0. Calculate d.
-3, -1, 1
Let b be 9/4 - 51/(-68). Let o(v) be the second derivative of -4*v + 18*v**2 + 8/5*v**5 + 0 + 16*v**b + 22/3*v**4 + 2/15*v**6. Factor o(a).
4*(a + 1)**2*(a + 3)**2
Let g = 1926/7447 + -52/677. Factor -g*p**3 + 10/11*p - 6/11 - 2/11*p**2.
-2*(p - 1)**2*(p + 3)/11
Factor -3/2*w**3 + 0 + 6*w**2 - 9/2*w.
-3*w*(w - 3)*(w - 1)/2
Let r(f) be the third derivative of 5*f**8/336 + 31*f**7/42 + 59*f**6/4 + 297*f**5/2 + 6075*f**4/8 + 3645*f**3/2 - 18*f**2. Factor r(t).
5*(t + 1)*(t + 3)*(t + 9)**3
Let a(o) be the first derivative of 0*o - 10/3*o**3 + 0*o**2 - 7 - o**5 - 15/4*o**4. Find c such that a(c) = 0.
-2, -1, 0
Let n(k) = -2*k**2 - 3*k - 1. Let z = -56 - -62. Let s(u) = -11*u**2 - 17*u - 6. Let y(h) = z*s(h) - 34*n(h). Solve y(o) = 0.
-1, 1
Find j such that -3*j - 3*j**2 + 1126 - 1117 - 3*j = 0.
-3, 1
Let l(d) be the third derivative of -d**8/120960 - d**7/30240 + d**6/2160 + 7*d**5/60 - 9*d**2. Let p(u) be the third derivative of l(u). Factor p(z).
-(z - 1)*(z + 2)/6
Let x(v) be the first derivative of -10*v**3/27 - 11*v**2/3 + 28*v/9 + 149. Factor x(t).
-2*(t + 7)*(5*t - 2)/9
Let d be 10/(-2)*(-4)/10. Suppose -y**4 + 36*y**d - 34*y**2 + y**5 - y - y**4 = 0. Calculate y.
-1, 0, 1
Let v(q) = 9*q + 4. Let u be v(0). Factor -2*w**u + 3*w**4 + 3*w**4 - 4*w**2 + 0*w**4.
4*w**2*(w - 1)*(w + 1)
Let b(n) be the third derivative of -n**10/15120 + n**8/1120 - n**7/630 - 13*n**4/24 - 11*n**2. Let r(z) be the second derivative of b(z). Factor r(y).
-2*y**2*(y - 1)**2*(y + 2)
Suppose 4*o - 2*o - 2*y - 8 = 0, -5*o + 29 = 4*y. Determine m so that -o - 4*m**4 + 1 - 72*m + 8*m**2 - 8*m**3 + 76*m + 4*m**5 = 0.
-1, 1
Factor 50/9*s - 23/9*s**2 - 1/9*s**3 + 0.
-s*(s - 2)*(s + 25)/9
Let m(i) = -9*i**3 + 20*i**2 - 23*i + 7. Let x(d) = -14*d**3 + 30*d**2 - 34*d + 10. Let w(o) = -8*m(o) + 5*x(o). Factor w(s).
2*(s - 3)*(s - 1)**2
Let c(y) be the second derivative of 0*y**2 + 1/15*y**3 + 0 - 4*y - 1/30*y**4. Factor c(s).
-2*s*(s - 1)/5
Let r be -2 + 4 - (70 + -73). Solve 2/3*u**3 - 1/3*u**r + 0*u**4 + 0 - 1/3*u + 0*u**2 = 0 for u.
-1, 0, 1
Let x = -11614 - -11614. Solve -5/12*z**5 + 5/3*z**2 - 1/3*z - 11/4*z**3 + 11/6*z**4 + x = 0.
0, 2/5, 1, 2
Suppose 46*p + 76*p = 3*p - 9*p. Solve 2/13*k**3 + 0*k**2 + p + 0*k = 0 for k.
0
Let g(s) be the first derivative of -s**4/4 + 2*s**3/3 + s**2/2 - 2*s - 75. Factor g(z).
-(z - 2)*(z - 1)*(z + 1)
Suppose 14*u - 7 - 21 = 0. Suppose 9 - 1 - 4*h - 3 - h**u = 0. What is h?
-5, 1
Let t(f) be the first derivative of f**5/5 + 5*f**4/2 + 8*f**3 - 5*f**2 - 25*f - 229. What is b in t(b) = 0?
-5, -1, 1
Determine j so that -156/5 + 4/5*j**2 + 152/5*j = 0.
-39, 1
Let j(l) be the second derivative of -1/108*l**4 - 9 + 0*l**2 + l - 4/27*l**3. Solve j(f) = 0 for f.
-8, 0
Let h(w) be the second derivative of w**8/504 + w**7/63 + w**6/45 + 11*w**2 - 31*w. Let a(i) be the first derivative of h(i). Find f such that a(f) = 0.
-4, -1, 0
Let r = -40 + 45. Find t, given that -t**4 + 2*t**3 + 6*t**5 - 18*t**5 + 9*t**r = 0.
-1, 0, 2/3
Factor -28/9*u**3 - 392/9 + 112/9