h**6 + 21*h + 9/80*h**5 + 0 + 3/4*h**3. Factor c(n).
3*(n + 1)**2*(n + 2)**2/8
Let f be (-2)/((8/10)/((-70)/(-25))). Let t = f - -11. Factor -160*x**3 + 3*x**5 - 136*x + 77 + 5*x**5 + 27*x**t + 232*x**2 - 49 + x**4.
4*(x - 1)**3*(x + 7)*(2*x - 1)
Let x be (-7 - -9)/(-2 - 0). Let j be (0 + -8 - -8)*x*1. Factor j*o - 2/17*o**2 + 0.
-2*o**2/17
Let o(v) = 13*v**4 + 592*v**3 + 13*v**2 - 449*v - 148. Let c(w) = 3*w**4 + w**2 - w. Let b(s) = -7*c(s) + o(s). Let b(h) = 0. Calculate h.
-1/2, 1, 74
Suppose 146*s - 184 - 249 = -141. Factor 4*t + 2/3*t**s - 32/3.
2*(t - 2)*(t + 8)/3
Suppose 0 = -13*o - 3*o + 48. Factor -26*s**o - 436*s**5 - 24*s**4 - 10*s**3 + 432*s**5.
-4*s**3*(s + 3)**2
Let l = -228 + 371. Let s = l + -571/4. Factor 1/4*p + 1/2 - s*p**2.
-(p - 2)*(p + 1)/4
Factor 1/3*s**2 + 59*s + 350/3.
(s + 2)*(s + 175)/3
Let b(z) be the third derivative of 1/30*z**5 + 0*z - 2*z**2 + 38 - 7/12*z**4 + 10/3*z**3. Solve b(r) = 0 for r.
2, 5
Let v(m) be the third derivative of m**8/1176 + 12*m**7/245 + 17*m**6/105 - m**5/105 - 23*m**4/28 - 34*m**3/21 - 2*m**2 + 199. Let v(r) = 0. What is r?
-34, -1, 1
Let p(t) = t**2 + 4*t + 4. Let w = -132 + 79. Let q = w + 51. Let c(l) = -l**2 - 4*l - 4. Let i(d) = q*c(d) - 3*p(d). Factor i(n).
-(n + 2)**2
Suppose -22*g + 16*g = 660. Let o be (-33)/g*((-64)/12)/(-4). Determine v so that 4/5*v - 6/5 + o*v**2 = 0.
-3, 1
Let n(q) = 3*q**2 + 43*q + 21. Let g be n(-14). Suppose -6724 - 9*f**2 + 54*f - 2*f**2 - 382*f + g*f**2 = 0. What is f?
-41
Let h(m) be the first derivative of m**4/20 + 26*m**3/15 - 25*m**2/2 - 30*m + 356. Determine w so that h(w) = 0.
-30, -1, 5
Let t(v) be the first derivative of v**6/65 + 4*v**5/65 + 7*v**4/78 + 2*v**3/39 + 55*v - 78. Let p(g) be the first derivative of t(g). Factor p(x).
2*x*(x + 1)**2*(3*x + 2)/13
Suppose 2*m - 35 = -m + r, r = 5*m - 55. Let n(p) = p. Let i(c) = 80*c**3 - 120*c**2 + 35*c - 5. Suppose 15 - 10 = 5*y. Let w(v) = m*n(v) + y*i(v). Factor w(q).
5*(q - 1)*(4*q - 1)**2
Let s(t) be the third derivative of -t**5/15 + 30*t**4 + 728*t**3/3 + 13*t**2 + 21. Factor s(n).
-4*(n - 182)*(n + 2)
Let w(d) be the third derivative of 0 + 289/30*d**3 + 17/60*d**4 + 0*d - 54*d**2 + 1/300*d**5. Factor w(a).
(a + 17)**2/5
Let d(g) = g**2 - 23*g + 2. Let k(j) = 324*j + 1132. Let h(b) = 4*d(b) - 2*k(b). Factor h(x).
4*(x - 188)*(x + 3)
Let v(u) be the first derivative of 2*u**4 + 12*u**3 - 4*u**2 - 96*u - 3591. Let v(p) = 0. What is p?
-4, -2, 3/2
Let z(t) be the first derivative of -3*t**4/2 - 109*t**3 - 1710*t**2 + 29700*t + 10529. Let z(x) = 0. What is x?
-30, 11/2
Let i = -4603 + 4614. Let o(s) be the second derivative of -i*s + 0*s**3 - 1/20*s**4 + 0 + 6/5*s**2. Determine p so that o(p) = 0.
-2, 2
Let d(l) be the first derivative of -13/3*l**3 + 3/2*l**4 - 1/5*l**5 - 1 + 6*l**2 - 4*l. Factor d(i).
-(i - 2)**2*(i - 1)**2
Let c(n) = 7*n**3 - 2*n**2 - 3*n - 4. Let q be c(4). Suppose -134 = 7*f - q. Factor -28*j + 2*j**2 - 8 - 11 + 79 + f.
2*(j - 7)**2
Factor -335/12*t + 25 + 3*t**2 - 1/12*t**3.
-(t - 20)*(t - 15)*(t - 1)/12
Let f be -6 + 261/(-6) + 5. Let w = 187/4 + f. Factor 3/4*q**4 - 15/4*q**2 + 3/4*q**3 + 0 + w*q.
3*q*(q - 1)**2*(q + 3)/4
Let j = 54/10205 - 73547651/40820. Let b = j - -1802. Let 1/2*s**4 - 3/2*s - b*s**2 + 5/4*s**3 + 0 = 0. Calculate s.
-2, -3/2, 0, 1
Let o be ((-52)/(-44))/(28/44). Factor 12/7 + 1/7*m**2 + o*m.
(m + 1)*(m + 12)/7
Let u(f) = -65*f + 126*f - 2*f**2 - 10*f - 3*f**2 - 10. Let y be u(10). Suppose 4/3*h**3 - 2/3*h**4 + 2/3 + y*h**2 - 4/3*h = 0. What is h?
-1, 1
Let n(k) = -k**2 - 28*k - 110. Let l be n(-23). Factor 0*p + 2*p**2 + l*p - p - 3*p**2.
-p*(p - 4)
Let z(n) be the first derivative of -3*n**4/16 + 21*n**3/8 - 15*n**2/8 + 1909. Solve z(c) = 0 for c.
0, 1/2, 10
Let j(d) = -3*d**2 - 45*d + 200. Let f(x) = -58*x + 2*x**2 + 25*x + 2*x**2 + 79*x - 200. Let b(h) = 5*f(h) + 6*j(h). Factor b(q).
2*(q - 10)**2
Suppose 0*m = -5*m - 4*g - 1531, m + g + 307 = 0. Let x = m - -308. Factor -1/2*i**2 + 0*i**4 + 0 - 3/4*i**3 + 1/4*i**x + 0*i.
i**2*(i - 2)*(i + 1)**2/4
Find g, given that 12*g**2 + 125*g - 32*g - 39*g - 39*g - 3*g**3 = 0.
-1, 0, 5
Let u(s) be the third derivative of s**5/360 - s**4/12 - 5*s**3/4 - 519*s**2. Factor u(w).
(w - 15)*(w + 3)/6
Determine x, given that 36*x - 24 + 3/2*x**3 - 27/2*x**2 = 0.
1, 4
Let u(w) be the third derivative of -395/4*w**4 + 150*w**3 + 0 + 81*w**2 + 76/15*w**5 - 1/12*w**6 + 0*w. Factor u(s).
-2*(s - 15)**2*(5*s - 2)
Solve 2/21*c**2 - 76/7 - 10/3*c = 0 for c.
-3, 38
Let m be (-7 - (-114)/12)*(-12)/(-10). Factor v**4 - 4*v**2 - 2*v**4 - 2*v**4 + m*v**4 + v**4.
v**2*(v - 2)*(v + 2)
Factor 9*j**4 - 2*j**2 + 12*j - 2*j - 13*j**2 + 4*j**4 - 8*j**4.
5*j*(j - 1)**2*(j + 2)
Let j(b) be the third derivative of -b**7/17640 + b**6/2520 + b**5/280 + 155*b**4/12 + 77*b**2. Let t(l) be the second derivative of j(l). Factor t(n).
-(n - 3)*(n + 1)/7
Let g = -21 + -62. Let d = -81 - g. Factor 89*j**2 - 12*j**4 - 178*j**d - 12*j**3 - 4*j**5 + 85*j**2.
-4*j**2*(j + 1)**3
Determine g so that -5/4*g**2 - 165/4*g - 145 = 0.
-29, -4
Let c(x) = -x**2 - 19*x + 150. Let k be c(6). Suppose -v + f + 3 = k, 4*v - 53 = f - 41. Factor -1/3 + 1/6*d**v + 0*d**2 - 1/2*d.
(d - 2)*(d + 1)**2/6
Let z be ((-4)/(-10))/((-1)/(-20)). Let s be (-756)/(-48) + 2/z. Let 0*p**2 + 0*p**2 - s*p + 5*p**2 - 9*p = 0. Calculate p.
0, 5
Let m be (1 - 1)/(-7 - (-3 - 5)). Let o(p) be the second derivative of m + 121/5*p**2 + 1/30*p**4 - 22/15*p**3 + 43*p. What is n in o(n) = 0?
11
Factor -5647942*k**3 - 5*k**4 + 5645889*k**3 - 5 + 5 - 4102*k**2 + 834*k**2 + 1636*k.
-k*(k + 2)*(k + 409)*(5*k - 2)
Let o = 127 + -135. Let r be -5 + 4 - o/((-168)/(-45)). What is p in 12/7*p**3 - 4/7*p**4 - 12/7*p + r - 4/7*p**2 = 0?
-1, 1, 2
Let r(d) be the third derivative of -d**5/75 + d**4/3 - 32*d**3/15 + 4003*d**2. Solve r(m) = 0 for m.
2, 8
Let q(x) be the first derivative of -x**3/3 + x**2/2 + 4*x + 85. Let w(v) = 2*v**2 - 29*v - 56. Let m(i) = 5*q(i) + w(i). Solve m(c) = 0 for c.
-6, -2
Suppose 3*x + 4*w - 11 = 30, x - 4*w - 35 = 0. Suppose -16*m = -17*m - 5, 0 = -2*h + 3*m + x. Factor 4/5 - 8/5*k - k**h.
-(k + 2)*(5*k - 2)/5
Let z(i) be the third derivative of -i**6/480 + 3*i**5/20 - 15*i**4/8 - 1464*i**2 + 2. Let z(f) = 0. Calculate f.
0, 6, 30
Factor -1035/2*n**3 - 5/4*n**4 + 0*n + 0*n**2 + 0.
-5*n**3*(n + 414)/4
Let n be (-2 - -1*7) + 58/29. Suppose p - n*t + 3 = -6*t, 3*t = -3*p + 21. Factor -2/7*s**3 + 0 - 2/7*s**p + 4/7*s.
-2*s*(s - 1)*(s + 2)/7
Let f(x) = -x**3 - 36*x**2 - x - 75. Let g be f(-36). Let j be g/(-20) - 6/30. What is t in 9/2*t**2 - j*t - 5/4*t**3 - 3/2 = 0?
-2/5, 1, 3
Let p(u) be the second derivative of -u**4/72 - 35*u**3/12 - 26*u**2/3 - 9*u + 756. What is x in p(x) = 0?
-104, -1
Let w = 78050/17 - 2712251/595. Let k = -161/5 + w. What is j in -6/7*j - k + 10/7*j**2 = 0?
-2/5, 1
Let p be ((-1)/(4/(-5)))/(6/24). Suppose 0*w + 3 = w. Factor 0*u**2 - 1/6*u**p + 1/2*u**4 + 0 - 1/3*u**w + 0*u.
-u**3*(u - 2)*(u - 1)/6
Let x(h) = 10*h**3 + 4*h**2 - 7*h - 1. Let k(d) = 12*d**3 + 4*d**2 - 8*d. Suppose 2*t = l + 6, 2*l = 3*t - t - 4. Let c(u) = t*x(u) - 3*k(u). Factor c(o).
4*(o - 1)*(o + 1)**2
Let q(f) be the first derivative of -f**6/24 - 21*f**5/20 - 17*f**4/8 + 13*f**3/2 + 35*f**2/8 - 57*f/4 + 1270. Find d such that q(d) = 0.
-19, -3, -1, 1
Factor -44 + 1/5*q**3 + 12/5*q**2 - 9/5*q.
(q - 4)*(q + 5)*(q + 11)/5
Let m(a) = -20*a**2 + 9000*a + 2945. Let s(q) = 19*q**2 - 8999*q - 2956. Let l(n) = -4*m(n) - 5*s(n). Factor l(x).
-5*(x - 600)*(3*x + 1)
Suppose -237 = v + 4*g - 216, 3*v + 3*g + 9 = 0. Let n(k) be the first derivative of -10 - 1/26*k**4 + 2/13*k + 2/13*k**v - 3/13*k**2. Factor n(q).
-2*(q - 1)**3/13
Let w(h) be the first derivative of 3*h**4/4 + 439*h**3/9 - 508*h**2/3 + 68*h + 12110. Let w(q) = 0. Calculate q.
-51, 2/9, 2
Suppose -3*r = 15*r - 2520. Let z be ((-60)/r)/((-1)/4*3). Factor -18/7*g**3 - 2/7*g + 0 - 10/7*g**2 - 2*g**4 - z*g**5.
-2*g*(g + 1)**3*(2*g + 1)/7
Let k(h) be the third derivative of 3*h**7/560 + h**6/480 - 32*h**3/3 + 104*h**2. Let a(m) be the first derivative of k(m). Find y such that a(y) = 0.
-1/6, 0
Let v(p) = 3*p**3 + 19*p**2 + 65*p + 55. Let m(l) = 7*l**3 + 39*l**2 + 127*l + 110. Let f(t) = 6*m(t) - 15*v(t). Solve f(g) = 0.
-11, -5, -1
