c) = 12*c**2 + 2*c - 8. Let g = -68 - -66. Let k(n) = g*x(n) + i(n). Factor k(v).
4*(v + 1)*(3*v - 2)
Solve 4/13 + 140/13*i**2 - 54/13*i = 0.
1/10, 2/7
Let k(u) be the third derivative of 0*u**3 + 0*u - 1/420*u**7 - 1/16*u**4 + 0 - 1/48*u**6 - 12*u**2 - 7/120*u**5. Determine f so that k(f) = 0.
-3, -1, 0
Suppose -3*r - 2*d = -6, -r - 2*d + 7 - 1 = 0. Let -3/5*c**2 - 3/5*c**3 - 1/5*c + r - 1/5*c**4 = 0. What is c?
-1, 0
Let n(f) be the first derivative of -f**5/270 + 2*f**4/27 - 7*f**3/27 + 21*f**2 + 15. Let o(l) be the second derivative of n(l). Suppose o(g) = 0. What is g?
1, 7
Let l be 1 + 695/(-100) + 6. Let v(x) be the third derivative of 1/4*x**4 + l*x**5 + 0*x - x**2 + 0 + 0*x**3. Factor v(u).
3*u*(u + 2)
Let t(b) be the third derivative of 2/3*b**3 + 0*b + 0 - 1/30*b**5 - 1/3*b**4 + 1/90*b**6 - 12*b**2. Let r(i) be the first derivative of t(i). Solve r(a) = 0.
-1, 2
Let y(t) = 28*t - 228. Let f be y(8). Let b(k) = -2*k**5 - 8*k**3 + 6*k. Let s(n) = 2*n - 3*n + n**5 + n**3 + 0*n. Let c(w) = f*s(w) - b(w). Factor c(j).
-2*j*(j - 1)**2*(j + 1)**2
Let v = 18525 - 18525. Find r, given that 0*r**3 + 0*r**2 + 5/2*r**5 + v - 1/2*r**4 + 0*r = 0.
0, 1/5
Let d be ((-9)/((-405)/70) - 2)*-9. Let y(l) be the third derivative of 0*l + d*l**2 + 1/20*l**5 - 1/8*l**4 + 0 + 0*l**3. Find j such that y(j) = 0.
0, 1
Let t(a) be the first derivative of -3*a**4 - 247*a**3 - 5673*a**2 + 2883*a + 532. Solve t(m) = 0 for m.
-31, 1/4
Suppose 5*t - 14*t = 108. Let u be (7/(147/(-14)))/(14/t). Factor 0 + 4/7*w**3 + 0*w - u*w**4 + 0*w**2.
-4*w**3*(w - 1)/7
Suppose -3*w = -10*w - 168. Let i be (-1 - 5)*16/w. Determine p, given that -2 + 5 + 3*p**2 - 10*p + i*p = 0.
1
Factor -3 + 1/8*f**2 - 5/4*f.
(f - 12)*(f + 2)/8
Let w(m) be the first derivative of -54 + 0*m - 2/5*m**5 - 9/2*m**4 + 9*m**2 + 2/3*m**3. Factor w(j).
-2*j*(j - 1)*(j + 1)*(j + 9)
Let u be (-2)/16 - 595/(-280). Factor 10/11*l**4 + 2/11*l**5 + 14/11*l**u + 18/11*l**3 + 0 + 4/11*l.
2*l*(l + 1)**3*(l + 2)/11
Let b(l) = l + 6. Let n be b(-4). Suppose -j + n + 0 = 0. What is s in 0*s**2 - 14*s**3 + 4 + 14*s + 0*s**2 - s**2 - 3*s**j = 0?
-1, -2/7, 1
Let v(y) be the first derivative of -y**5/180 - y**4/18 - 2*y**3/9 + 31*y**2/2 + 33. Let p(b) be the second derivative of v(b). Factor p(j).
-(j + 2)**2/3
Let o = -102 + 105. Let r(q) be the third derivative of 0*q**4 - 1/70*q**7 + 0 + 0*q - 1/180*q**5 - 1/60*q**6 + 0*q**o - 1/252*q**8 - 3*q**2. Factor r(x).
-x**2*(x + 1)**2*(4*x + 1)/3
Let w(p) be the third derivative of -7*p**7/90 + 161*p**6/180 - 43*p**5/45 + p**4/3 + 30*p**2 - 3. Determine v, given that w(v) = 0.
0, 2/7, 6
Let q = 104 + -30. Let c = q - 74. Let 0*d**3 + 0*d**2 + c*d - 2/5*d**4 + 0 - 2/5*d**5 = 0. Calculate d.
-1, 0
Find x, given that 16*x**5 + 2*x**2 + 188*x**3 + 24*x**4 - 119*x**3 - 84*x**3 = 0.
-2, 0, 1/4
Factor 9*k - 39*k + 17*k - 3*k**3 + 61*k.
-3*k*(k - 4)*(k + 4)
Let u(n) = -8*n**4 - 48*n**3 + 92*n**2 - 40*n + 4. Let m(x) = -9*x**4 - 50*x**3 + 92*x**2 - 38*x + 5. Let w(a) = -4*m(a) + 5*u(a). Factor w(p).
-4*p*(p - 1)**2*(p + 12)
Let s(j) be the first derivative of -11 - 3/2*j**3 - 3/2*j**2 - 5/16*j**4 + 2*j. Factor s(d).
-(d + 2)**2*(5*d - 2)/4
Factor -8*i - 30*i + 4*i**2 + 14*i.
4*i*(i - 6)
Let t(u) = -u**3 - 6*u**2 - 7*u - 6. Let q be t(-4). Let i(z) = z**2 + 9*z - 8. Let w be i(q). Factor -6*y + 2*y**2 + 3 + 4 + w - 5.
2*(y - 2)*(y - 1)
Suppose 441*s**2 + 152 + 172 - 80*s**3 - 720*s + 4*s**4 + 31*s**2 = 0. Calculate s.
1, 9
Find r, given that 1/4*r**3 + 0 + 61/4*r**2 + 15*r = 0.
-60, -1, 0
Let o = 9066 - 9062. Factor 8*b**3 - 20/3*b**2 + 0*b - 4/3*b**o + 0.
-4*b**2*(b - 5)*(b - 1)/3
Let c = 8599/367 - 10300531/455080. Let f = 1/248 + c. Suppose 0*b**4 - 2/5*b**5 - 2/5*b + f*b**3 + 0*b**2 + 0 = 0. Calculate b.
-1, 0, 1
Let n(i) be the first derivative of -5*i**3/3 - 65*i**2/2 - 60*i - 62. Find f, given that n(f) = 0.
-12, -1
Let p(k) be the first derivative of k**8/168 + 2*k**7/105 - k**2/2 + 3. Let c(l) be the second derivative of p(l). Factor c(f).
2*f**4*(f + 2)
Let x(l) = -l - 1. Let q(o) = o + 1. Let n(v) = -6*q(v) - 5*x(v). Let a be n(-3). Solve 4*i**2 - 3*i**a + 2*i**2 + 6*i - 3*i = 0.
-1, 0
Solve -6 - a**2 - a - 4*a + 4*a + 2*a**2 = 0 for a.
-2, 3
Suppose -37 = 20*r - 37. Factor r*b - 1/4*b**4 + 0 + 1/4*b**2 + 1/4*b**3 - 1/4*b**5.
-b**2*(b - 1)*(b + 1)**2/4
Find w such that 48*w**2 - 60*w + 37*w**2 + 140 - 129*w**2 + 39*w**2 = 0.
-14, 2
Let s(k) = -k**3 - k - 1. Let v be s(-1). Let j = 4 + v. Factor 3 + 0 + b**2 - j*b**2 - 4 + 5*b.
-(b - 1)*(4*b - 1)
Factor -1215*b**2 - 1/5*b**4 + 18225*b + 0 + 27*b**3.
-b*(b - 45)**3/5
Let f be 228/222 + (-6)/(-3). Let n = f - -3512/111. Determine w so that 70/3*w**4 - 16/3*w - 188/3*w**3 + n*w**2 + 0 = 0.
0, 2/7, 2/5, 2
Let o be -2*(18/4 - 4). Let k be (6/(3 + -6))/o. Suppose 6*v**4 + v**4 - 4 - 2*v**4 - 6*v**2 + 10*v - k*v**3 - 3*v**4 = 0. Calculate v.
-2, 1
Factor 8 + 1/5*t**3 + 42/5*t**2 + 81/5*t.
(t + 1)**2*(t + 40)/5
Let l(s) = s**3 + 4*s**2. Let o be l(-4). Let d = -1 + 9. Factor -16*z + 8 + o*z**3 + d*z**3 - 7*z**2 + 17*z**2 - 10*z**3.
-2*(z - 2)**2*(z - 1)
Let d(p) = -p**3 + 3*p**2 + 9*p - 2. Let n be d(4). Let h be (-3 - -3) + 3*3/n. Factor h*o**2 - 1 + 3/2*o**3 - 3/2*o + 1/2*o**4.
(o - 1)*(o + 1)**2*(o + 2)/2
Suppose y - 2*g - 3 = -4*g, -3*y = -4*g - 9. Find z, given that -2*z**3 + 0*z**y + 12*z**2 + 18*z + 18 + 15*z - z**3 = 0.
-1, 6
Let h(p) be the first derivative of -4/15*p**3 - 1/10*p**4 + 1/5*p**2 + 3/5*p + 1/25*p**5 - 20. Factor h(j).
(j - 3)*(j - 1)*(j + 1)**2/5
Factor 34/3*c**3 + 0 + 0*c + 1/9*c**4 + 289*c**2.
c**2*(c + 51)**2/9
Suppose 0 = 3*v - v, 2*g = -2*v + 4. Suppose -5*j + 27 = c, 2*c = -3*c + g*j. What is z in 0 - 4/3*z**3 + 0*z - 8/3*z**c = 0?
-2, 0
Let u(o) be the second derivative of -55*o**4/12 - 115*o**3/6 + 75*o**2 + 112*o - 2. Determine w so that u(w) = 0.
-3, 10/11
Let r(u) be the second derivative of -u**7/105 + u**6/60 + u**5/15 - u**2/2 - 12*u. Let a(t) be the first derivative of r(t). What is l in a(l) = 0?
-1, 0, 2
Let v = -11451/7 - -1636. Determine w so that 1/7*w**2 + 0 + 0*w - 1/7*w**3 + 1/7*w**5 - v*w**4 = 0.
-1, 0, 1
Let f(t) be the first derivative of 27*t**4/4 + 507*t**3 - 1023*t**2/2 + 171*t - 3. Let f(v) = 0. Calculate v.
-57, 1/3
Let m(x) be the first derivative of x**6/3 + 6*x**5/5 + x**4/2 - 2*x**3 - 2*x**2 - 542. Find n, given that m(n) = 0.
-2, -1, 0, 1
Let l be (-1 + 3)/20*((-63)/(-14) + 8). Solve l + 1/4*p**2 - 3/2*p = 0 for p.
1, 5
Let k(h) be the second derivative of 9*h**5/100 + h**4/2 - 9*h**3/10 - 6*h**2/5 + 6*h - 2. Factor k(y).
3*(y - 1)*(y + 4)*(3*y + 1)/5
Let i = 524/849 + 14/283. Factor 2/3*c + 0 + i*c**2.
2*c*(c + 1)/3
Let s(o) be the first derivative of o**8/5880 - o**7/735 + o**6/630 + o**5/105 - o**4/28 - 4*o**3 - 23. Let j(n) be the third derivative of s(n). Factor j(u).
2*(u - 3)*(u - 1)**2*(u + 1)/7
Let n(w) = w**2 - 3*w - 8. Let o be n(5). Factor -2 + 2*f**3 - 3 - 5*f**4 + 15*f**2 + o*f + 2*f + 1.
-(f - 2)*(f + 1)**2*(5*f - 2)
Suppose 3*o - 24 = -3*j, 0*o - 3*o = -j - 8. Let y = -5 - -9. Suppose -4 - 1 - y + o*u - u**2 + 6 = 0. What is u?
1, 3
Let x(t) be the first derivative of 1/5*t**3 - 15 + 0*t - 6/5*t**2. Solve x(q) = 0.
0, 4
Let q(g) be the second derivative of -349*g**4/6 + 117*g**3 - 2*g**2 + 2*g + 40. Solve q(x) = 0 for x.
2/349, 1
Let u(p) be the second derivative of 0 - 22*p - 3/4*p**4 + 1/14*p**7 + 0*p**2 + 3/10*p**6 - p**3 + 3/20*p**5. Factor u(d).
3*d*(d - 1)*(d + 1)**2*(d + 2)
Let h(l) be the second derivative of -l**5/10 + 4*l**4 - 64*l**3 + 512*l**2 - l + 112. What is t in h(t) = 0?
8
Suppose 64 = 53*b - 148. Let s(j) be the second derivative of 0 - 3/20*j**5 + 0*j**3 + 1/4*j**b + 0*j**2 - 2*j. Factor s(t).
-3*t**2*(t - 1)
Let x(d) be the second derivative of d**6/180 + d**5/120 - 17*d**4/72 - 7*d**3/12 + 3*d**2 + 101*d + 2. Factor x(z).
(z - 4)*(z - 1)*(z + 3)**2/6
Let t(f) be the first derivative of 7*f**4/12 + 20*f**3/3 - 6*f**2 - 26*f + 23. Let c(i) be the first derivative of t(i). Solve c(k) = 0 for k.
-6, 2/7
Let n(x) be the first derivative of -3*x**4/28 - 5*x**3/7 - 3*x**2/2 - 9*x/7 + 16. Let n(b) = 0. Calculate b.
-3, -1
Let p(v) be the third derivative of 3*v**5/80 - 5*v**4/48 - 15*v**2 - 2*v. Factor p(w).
w*(9*w - 10)/4
Suppose 0*y - 6 = 