Factor 55*r**2 + 113 + 149*r - 17*r**2 - 125.
(r + 4)*(38*r - 3)
Factor 0 - 2/7*d**2 + 190/7*d.
-2*d*(d - 95)/7
Let s(j) be the first derivative of j**3/21 - 88*j**2/7 + 348*j/7 + 2701. Solve s(w) = 0.
2, 174
Let l(s) be the first derivative of -2*s**5/5 + s**4 + 14*s**3/3 - 20*s**2 + 24*s - 9540. Find k such that l(k) = 0.
-3, 1, 2
Factor -g**4 + 16*g + 5*g**3 + 57*g**2 + 51*g**2 + 13*g**2 - 99*g**2.
-g*(g - 8)*(g + 1)*(g + 2)
Let z(d) be the second derivative of -1 + 1/2*d**6 - 1/42*d**7 + 0*d**3 - 27/20*d**5 - 75*d + 0*d**2 + 13/12*d**4. Find v such that z(v) = 0.
0, 1, 13
Let p(q) = q**3 + 9*q**2 - 9*q + 13. Let l = -29 + 19. Let c be p(l). Factor 75*f**2 - 22*f - 12*f**4 + 6*f**3 + 40*f + 8*f**c - 5*f**3.
-3*f*(f - 3)*(f + 2)*(4*f + 1)
Let q(a) be the second derivative of -1/3*a**3 - 1/6*a**4 + 4*a + 0*a**2 - 8 + 1/5*a**5. Factor q(c).
2*c*(c - 1)*(2*c + 1)
Suppose 0 = -385*d - 1458 + 3768. Factor -1/2*q**3 - d + 4*q + 1/2*q**2.
-(q - 2)**2*(q + 3)/2
Let v(b) be the first derivative of b**6/540 - 2*b**5/45 + 11*b**4/108 - 28*b**2 + b - 118. Let g(z) be the second derivative of v(z). Factor g(a).
2*a*(a - 11)*(a - 1)/9
Let w(n) be the second derivative of 6/5*n**5 - 27/2*n**4 + 88/3*n**3 + 363/2*n**2 - 1/30*n**6 + 31*n + 0. Factor w(d).
-(d - 11)**2*(d - 3)*(d + 1)
Let p(o) be the third derivative of -179*o**2 + 215/42*o**4 + 0 + 89/210*o**5 - 100/21*o**3 + 0*o + 3/280*o**6. Factor p(u).
(u + 10)**2*(9*u - 2)/7
Let z(r) be the second derivative of -2*r**6/45 + 44*r**5/15 + 31*r**4/3 - 88*r**3/9 - 184*r**2/3 + r - 27. Solve z(k) = 0.
-2, -1, 1, 46
Suppose -2*y - 20 = 4*g, 6*g = -3*y + 5*g + 5. Factor -6*q**3 + 12 + 15*q - 9/2*q**2 + 3/2*q**y.
3*(q - 4)*(q - 2)*(q + 1)**2/2
Let m(x) be the second derivative of 13/5*x**5 + 5*x**4 - 2/15*x**6 + 1 - 55*x - 28*x**2 - 26/3*x**3. Factor m(s).
-4*(s - 14)*(s - 1)*(s + 1)**2
Let z(r) = 1. Let g(o) = o**2 + 5*o + 3. Let q(h) = g(h) - 4*z(h). Let k be q(-6). Let 5 - 3*d**2 - 1 + 4*d**3 + 0*d**3 - k*d**3 = 0. Calculate d.
-2, 1
Let q = 2316/2471 - 230/353. Solve 2/7*g**4 - 8/7 - 18/7*g**2 - 22/7*g - q*g**3 = 0 for g.
-1, 4
Let l(x) be the first derivative of 3*x**6/2 + 177*x**5/5 + 967*x**4/4 + 313*x**3 - 1380*x**2 + 1100*x + 179. Find y, given that l(y) = 0.
-11, -5, 2/3
Let 0*t**3 - 49 + 17*t - 47 + 18*t + 2*t**3 - 32*t**2 + 69*t = 0. What is t?
2, 12
Let r(z) be the third derivative of 361*z**6/50 + 1501*z**5/75 + 68*z**4/3 + 40*z**3/3 + 571*z**2. Determine q so that r(q) = 0.
-10/19, -1/3
Let m(p) be the first derivative of -2/39*p**3 - 44 + 0*p - 11/13*p**2. Factor m(d).
-2*d*(d + 11)/13
Let d(q) be the first derivative of q**6/60 - q**5/30 - 5*q**4/3 + 317*q**2/2 + 323. Let k(l) be the second derivative of d(l). Factor k(r).
2*r*(r - 5)*(r + 4)
Suppose -2183*h - 12 = -2187*h. Suppose 3*o = 3*m + h, 6*o = 5*o + 4. Find y such that 0*y**m + 0*y**2 + 0*y - 2/5*y**4 - 2/5*y**5 + 0 = 0.
-1, 0
Let d(z) be the first derivative of z**3/21 - 4*z**2 + 112*z - 1176. Find y such that d(y) = 0.
28
Let h(j) be the first derivative of -5*j**3/3 - 75*j**2/2 - 220*j - 8419. Factor h(z).
-5*(z + 4)*(z + 11)
Let r(n) be the first derivative of -6*n**5/35 - 25*n**4/2 - 446*n**3/21 + 41*n**2 + 228*n/7 - 2900. What is x in r(x) = 0?
-57, -2, -1/3, 1
Suppose p + 216 - 226 = 0. What is x in 14*x**3 - 15*x**4 + 13*x**4 - 1 + 5 - x**2 - x**2 - p*x - 4*x**5 = 0?
-2, -1, 1/2, 1
Suppose 4*o - o + 6 = 0, -2*r - 2*o = -112. Suppose 3*i - r = -28. Determine z, given that -10 - 6*z - 8*z**2 - 31*z**3 + i*z + 10 + 35*z**4 = 0.
-2/5, 0, 2/7, 1
Solve -16*s**3 - 2 - 29 + 32*s - 3*s**5 - 2*s**4 + 16*s**2 - 1 + 5*s**5 = 0 for s.
-2, 1, 2
Let b(w) = 49*w**2 - 94*w - 369. Let a(u) = -695*u**2 + 1315*u + 5165. Let t(n) = 6*a(n) + 85*b(n). Factor t(c).
-5*(c + 5)*(c + 15)
Let i = 4346 + -13036/3. Let d(n) be the first derivative of -6*n - 13 + i*n**3 - 2*n**2. Suppose d(m) = 0. What is m?
-1, 3
Let o(t) = t**3 + t**2 - 42. Let f(u) = -36*u**3 - 273*u**2 - 432*u - 474. Let k(d) = -f(d) + 9*o(d). Let k(g) = 0. Calculate g.
-4, -2, -4/15
Suppose 4 = -18*l + 76. Factor -67*q**2 + 69*q**2 - 111*q**2 - 185*q - 86*q**2 - 75*q**3 - 5*q**l - 60.
-5*(q + 1)**3*(q + 12)
Let o(m) be the first derivative of m**6/1980 + m**5/66 + 14*m**3 - m**2/2 - 71. Let k(a) be the third derivative of o(a). Let k(n) = 0. What is n?
-10, 0
Let a(n) be the first derivative of 2*n**3/9 - 104*n**2/3 - 5381. Find h such that a(h) = 0.
0, 104
Suppose -55*j + 64*j - 18 = 0. Factor 0*w**2 + 16*w**2 + 9*w**2 + 30*w**3 + 8*w**j - 3*w**4.
-3*w**2*(w - 11)*(w + 1)
Let l = 89375/59602 - -14/29801. Find h, given that 0*h**4 - 3*h**3 + 0 + 0*h**2 + 3/2*h + l*h**5 = 0.
-1, 0, 1
Let v(p) be the second derivative of 12*p**2 - 12 + 1/3*p**4 + 10/3*p**3 - p. Factor v(q).
4*(q + 2)*(q + 3)
Let x(d) = -2*d**3 - 112*d**2 + 127*d - 52. Let f be x(-57). Let h = f + 795. Solve -1/3*q**h - 1/3*q**3 + 0 + 1/3*q**4 + 1/3*q = 0 for q.
-1, 0, 1
Let v(p) be the second derivative of -p**4/72 - 85*p**3/36 + 97*p**2 - 9698*p. What is h in v(h) = 0?
-97, 12
Suppose 3*q + 3*d + 219 = 0, -2*q - 4*d - 143 = -5*d. Let a = q - -75. Determine z so that 2*z**2 + 7*z**3 - 16 - 4*z**3 + 14*z**2 + z**a - 4*z = 0.
-4, -1, 1
Let o(c) be the second derivative of -c**4/12 - 470*c**3/3 - 110450*c**2 + 1098*c. Factor o(x).
-(x + 470)**2
Let u(y) be the first derivative of 16/5*y**2 - 52/15*y**3 - 3/5*y**4 + 48/5*y + 61 - 2/15*y**6 + 4/5*y**5. Find z such that u(z) = 0.
-1, 2, 3
Let i(k) = k**3 + 13*k**2 + 50*k + 126. Let v be i(-9). Let -12/7*t - 2/7*t**4 - 12/7*t**3 - 22/7*t**2 + v = 0. Calculate t.
-3, -2, -1, 0
Let y be ((-6)/(-21))/(2107/(-1204)*(-12)/21). Factor 1/7*q**2 - 3/7*q + y.
(q - 2)*(q - 1)/7
Let p(c) = c**4 + 36*c**3 + 268*c**2 + 758*c + 529. Let x(f) = -2*f**3 - f**2 + f - 2. Let v(z) = 3*p(z) + 6*x(z). Factor v(j).
3*(j + 1)*(j + 5)**2*(j + 21)
Suppose -522*s**3 + 10*s**2 + 8*s**2 + 521*s**3 + 19*s = 0. Calculate s.
-1, 0, 19
Let u(c) be the first derivative of -1/9*c**3 - 8/3*c + c**2 - 69. Let u(k) = 0. What is k?
2, 4
Suppose q = -5*j + 251, 0 = 6*q - 10*q + 2*j + 1092. What is g in 133*g**3 - q*g**3 - 2*g**4 + 134*g**3 = 0?
-2, 0
Let d(c) be the second derivative of c**4/42 + 856*c**3/21 + 855*c**2/7 + 3490*c. Let d(l) = 0. Calculate l.
-855, -1
Let j(t) = -2*t**3 - 8*t**2 + 11*t - 6. Let c be j(-6). Suppose 74*l - 6 = c*l. Find f such that 12/5 + 3/5*f**2 - l*f = 0.
1, 4
Let j(n) be the second derivative of -3*n + 1/30*n**7 + 31/60*n**4 + 0*n**3 + 53/100*n**5 - 13 + 11/50*n**6 - 2/5*n**2. Solve j(c) = 0.
-2, -1, 2/7
Let i(f) = f**3 + 14*f**2 + 2. Let c be i(-14). Let y be 19 + (-2588)/140 - (2/(-7) - 0). Let -4/5*l**c + 24/5 + y*l = 0. Calculate l.
-2, 3
Let i be (-13 - (-23 + 1*(21 - 11))) + 2. Factor 4 + 26*t + 121/4*t**3 + 209/4*t**i.
(t + 1)*(11*t + 4)**2/4
Let l(q) be the third derivative of 0*q - 61/105*q**7 + 1/3*q**3 - 1/6*q**4 + 0 - 78*q**2 - 2/3*q**5 + 31/30*q**6 + 5/42*q**8. Find r such that l(r) = 0.
-1/5, 1/4, 1
Let h(v) = 57*v - 116. Let o be h(2). Let m be -16*o/(-12) + 4. Factor -1/3*z**2 + m*z - 1.
-(z - 3)*(z - 1)/3
Find f such that -1/4*f**2 + 7*f + 29/4 = 0.
-1, 29
Suppose 0 = -p - 4. Let o be 2 + -4 + p + 8. Factor 0*l - 2 - l**2 + 7 + 6*l + 2*l**o.
(l + 1)*(l + 5)
Suppose 5292 = 316*m - 64*m. Let i(q) be the first derivative of 12/35*q**5 - 2/7*q**2 - m + 0*q + 6/7*q**3 - 13/14*q**4. Let i(y) = 0. Calculate y.
0, 1/2, 2/3, 1
Let b(d) = 2*d**3 + 5*d**2 - 4*d - 3. Let g be b(-1). Factor -2*m**3 - 160 + 77 + 84 - m**g + 2*m.
-(m - 1)*(m + 1)**3
Let r = -8/111 + 7025/444. Let o = r - 61/4. Determine m so that 0 + 0*m**2 - 1/2*m + o*m**3 = 0.
-1, 0, 1
Suppose 201 = 2*n + 147. Let c be (3/1)/(n/28). Factor 4/9*s**3 + 16/9 + 8/9*s**2 - c*s.
4*(s - 1)**2*(s + 4)/9
Let x(r) = -95*r**2 + 5*r + 6. Let o(l) = -l - 2. Let t(u) = 15*o(u) + 5*x(u). Factor t(h).
-5*h*(95*h - 2)
Let y(j) = -312*j - 1557. Let v be y(-5). Let s(o) be the third derivative of 0*o + 0 + 1/24*o**4 - 2/9*o**v - 21*o**2 + 1/180*o**5. Let s(z) = 0. What is z?
-4, 1
Suppose -47*q + 8 - 147 = -113*q - 7. Solve -10/7*i**q - 58/7*i - 40/7 = 0 for i.
-5, -4/5
Let l(w) be the second derivative of -74*w + 2401/5*w**4 + 0 + 98/25*w**5 + 5764801/5*w**2 + 1/75*w**6 + 470596/15*w**3. Find t such that l(t) = 0.
-49
Factor 