141*t**3 + 51*t**2 - 192*t + 6. Let c(x) = 6*l(x) - 5*o(x). Find r such that c(r) = 0.
0, 8, 9
Let t(o) = -39*o**2 + 822*o - 60. Let k be t(21). Let v(c) be the third derivative of 0*c - 2/3*c**k - 32*c**2 + 1/7*c**4 + 0 + 1/105*c**5. Factor v(h).
4*(h - 1)*(h + 7)/7
Let y = -53 + 55. Suppose y*r = -5*r + 14. Factor l**r - l + 2*l - 51 - 55 + 104.
(l - 1)*(l + 2)
Let g(v) be the second derivative of v**6/15 - 21*v**5/5 - 22*v**4/3 + 14*v**3 + 43*v**2 - 315*v - 2. Suppose g(c) = 0. Calculate c.
-1, 1, 43
Factor -155586/13*a**2 - 2/13*a**4 - 1299536/13*a + 1132/13*a**3 - 2635808/13.
-2*(a - 287)**2*(a + 4)**2/13
Let w = -44266 + 44268. Factor 0*u**4 - 2/9*u**5 + 0*u + 0*u**w + 0 + 2/9*u**3.
-2*u**3*(u - 1)*(u + 1)/9
Let r(m) be the second derivative of -m**7/5040 + m**6/2160 + m**5/120 + m**3/3 + 21*m**2 + 16*m + 2. Let t(b) be the second derivative of r(b). Factor t(u).
-u*(u - 3)*(u + 2)/6
Factor -60*h**3 + 16*h**4 + 104*h**2 - 5*h**4 + 8*h**4 + 13*h**4 - 28*h**4.
4*h**2*(h - 13)*(h - 2)
Let z = 872 - 875. Let m be z*(-5)/(-36)*(3 + -6). Solve 0 - 5/4*b**5 + m*b**4 - 5/4*b**2 + 0*b + 5/4*b**3 = 0.
-1, 0, 1
Let q(a) be the first derivative of a**4/2 - 2790*a**3 + 5838075*a**2 - 5429409750*a + 4790. Find r such that q(r) = 0.
1395
Let v(a) be the second derivative of -39*a**5/20 - a**4/2 + 26*a**3 + 12*a**2 + 11222*a. Factor v(w).
-3*(w - 2)*(w + 2)*(13*w + 2)
Let u(i) = -211 + 26*i - 111*i - 2*i**2 - 390 - 34. Let k(p) = p**2 + 42*p + 318. Let c(q) = 13*k(q) + 6*u(q). Factor c(y).
(y + 18)**2
Let p(f) be the second derivative of 0*f**2 + 3/80*f**5 + 1 - 1/48*f**4 - 1/12*f**3 - 1/168*f**7 + 1/120*f**6 - 5*f. Let p(q) = 0. Calculate q.
-1, 0, 1, 2
Let s(p) be the second derivative of -1/48*p**4 + 5/6*p**3 + 11/2*p**2 + 0 + 144*p. Suppose s(v) = 0. What is v?
-2, 22
Let g be ((-40)/12)/(-5) + 6/(-9). Let a be (-372)/4340*(g - 7). Suppose -3/5 + 1/5*j - 1/5*j**3 + a*j**2 = 0. Calculate j.
-1, 1, 3
Let m(g) = -5*g + 7. Let x be m(-1). Solve x*h**2 - 16 - 1265*h + 1297*h + 8*h**2 = 0.
-2, 2/5
Let q(k) = -2*k**4 - k**3 + 4*k**2 + k - 1. Let f(z) = -16*z**4 - 127*z**3 + 532*z**2 - 505*z - 7. Let l(i) = -f(i) + 7*q(i). Factor l(p).
2*p*(p - 2)**2*(p + 64)
Let k(p) be the first derivative of -2*p**5/65 + 15*p**4/26 + 8*p**3/39 - 60*p**2/13 - 429. What is g in k(g) = 0?
-2, 0, 2, 15
Factor -2/5*i**4 + 94 - 464/5*i**3 - 1408/5*i + 1404/5*i**2.
-2*(i - 1)**3*(i + 235)/5
Let q(f) be the second derivative of f**6/280 - f**4/56 + 8*f**2 + 17*f. Let y(i) be the first derivative of q(i). Suppose y(t) = 0. Calculate t.
-1, 0, 1
Let o = -1879238/11 - -171184. Let i = -344 + o. Factor 4/11*g - 2/11*g**2 - i.
-2*(g - 1)**2/11
Let d(s) = -351*s**3 - 104*s**3 - 9*s - 189*s**2 + 4 + 7. Let r(f) = -91*f**3 - 38*f**2 - 2*f + 2. Let t(w) = -4*d(w) + 22*r(w). Find i, given that t(i) = 0.
-2/7, -2/13, 0
Let w(x) be the first derivative of -x**4/66 - 5*x**3/33 + 6*x**2/11 - x - 139. Let d(o) be the first derivative of w(o). Determine b so that d(b) = 0.
-6, 1
Let q(c) be the second derivative of -1/3*c**4 + 13 - 8/3*c**3 - 8*c**2 + 5*c. Suppose q(z) = 0. What is z?
-2
Let m be (-152)/13 + (11 - (46 + -47)). Factor 4/13 + 2/13*w**3 - 2/13*w - m*w**2.
2*(w - 2)*(w - 1)*(w + 1)/13
Let p = 36601 - 36596. Find i, given that -64/9*i**2 + 0 - 32/9*i - 16/9*i**4 - 2/9*i**p - 16/3*i**3 = 0.
-2, 0
Let f be -8 - (-217)/(-7) - -7. Let c be (f/(-20))/(-1 - 35/(-25)). Suppose -2/5*s**2 - 10 - c*s = 0. Calculate s.
-5
Let x(i) be the third derivative of -1/240*i**6 - 9*i - i**2 + 1/24*i**5 + 0*i**3 + 0*i**4 + 0. Factor x(h).
-h**2*(h - 5)/2
Let k(z) be the second derivative of -z**4/30 + 1004*z**3/15 - 252004*z**2/5 - 249*z. Determine i, given that k(i) = 0.
502
Let t(q) = 105*q**2 - 2*q + 0*q - 106*q**2 + 1. Let x(z) = 4*z**2 + 16*z - 5. Let m(s) = -5*t(s) - x(s). Factor m(l).
l*(l - 6)
Let v = 24 - 19. Suppose 4*c = -3*r + 159, -v*r - c + 265 = -0*c. Solve 40*n + 11 - 65 - r + 7 - 4*n**2 = 0 for n.
5
Let p(w) be the second derivative of -w**7/168 + 13*w**6/120 - 2*w**5/5 - 19*w**4/12 + 4*w**3 + 13*w + 113. Find z, given that p(z) = 0.
-2, 0, 1, 6, 8
Let a(k) be the second derivative of k**5/8 + 185*k**4/12 + k - 4. Factor a(w).
5*w**2*(w + 74)/2
Let b be (-12)/(1 - -5) - -7. Find o such that -191*o**b + 385*o**5 - 190*o**5 + 0*o**4 + 196*o**3 + 56*o**4 = 0.
-7, 0
Factor -135*m**4 - 465*m + 85*m**3 - 270 + 54*m**4 + 86*m**4 - 115*m**2.
5*(m - 3)*(m + 1)**2*(m + 18)
Let b be (-8)/(-20)*(2 + 4*2). Determine z, given that -19*z**b + 14*z**4 - 49*z**2 + 69*z**2 = 0.
-2, 0, 2
Let o(q) be the first derivative of 2*q**6/27 - 424*q**5/45 + 3469*q**4/9 - 142816*q**3/27 + 293480*q**2/9 - 846400*q/9 + 9793. Solve o(f) = 0.
4, 5, 46
Let z be 6 + (15 + -16)*(-2)/(-14)*22. Suppose 5*s - 19 = 19*c - 16*c, 4*s - 16 = 2*c. Factor 4/7*t**3 + 0*t + z*t**5 + 8/7*t**c + 0 - 32/7*t**4.
4*t**2*(t - 1)**2*(5*t + 2)/7
Let m(w) be the first derivative of -w**4/60 + 67*w**3/15 - 4489*w**2/10 + 31*w - 160. Let x(d) be the first derivative of m(d). Let x(a) = 0. Calculate a.
67
Let u(z) be the third derivative of -z**5/30 + 364*z**4/3 - 529984*z**3/3 + 2*z**2 - 2140*z. Factor u(s).
-2*(s - 728)**2
Let p(i) be the third derivative of -1/210*i**7 + 1/60*i**6 + 1/20*i**5 + i**2 - 1/6*i**4 + 0 - 2/3*i**3 + i. What is j in p(j) = 0?
-1, 2
Let q = 3413218/7 - 487599. Factor -10/7*k - 1/7*k**2 - q.
-(k + 5)**2/7
Let j(r) be the first derivative of -r**6/24 - r**5/12 + 5*r**4/12 - 59*r**2 - 95. Let t(z) be the second derivative of j(z). Find h, given that t(h) = 0.
-2, 0, 1
Let j(o) be the third derivative of o**5/45 + 7*o**4/12 - 23*o**3/9 - 2676*o**2. Suppose j(h) = 0. What is h?
-23/2, 1
Let v be 26/9 + (3089/(-123560) - (-71)/(-360)). Factor -8/9*g + 2/9*g**3 - 2/3*g**2 + v.
2*(g - 3)*(g - 2)*(g + 2)/9
Let b(s) = -s**2 - 27*s + 21. Let h be b(-13). Let p = -1417/7 + h. Let 0 - 6/7*u**5 + 8/7*u + p*u**4 - 24/7*u**2 + 18/7*u**3 = 0. What is u?
-2, 0, 2/3, 1
Let v(b) be the first derivative of 1/1260*b**6 + 0*b + 0*b**2 + 13 - 1/210*b**5 + 1/84*b**4 + 5*b**3. Let g(z) be the third derivative of v(z). Factor g(i).
2*(i - 1)**2/7
Let u(j) be the second derivative of 4/15*j**4 + 217*j + 0 + 0*j**3 - 1/10*j**5 + 0*j**2. Factor u(b).
-2*b**2*(5*b - 8)/5
Suppose 3*n = -9*m + 4*m - 19, -4*n - 2*m - 2 = 0. Suppose 5*d - 2*p = 23, 0 = -2*d + 3*p - n + 9. Factor 3/4*o**3 + 3/4*o**d + 0*o**2 + 0*o - 3/2*o**4 + 0.
3*o**3*(o - 1)**2/4
Let i = -861 + 941. Suppose i*p - 77*p - 9 = 0. Solve 0 - q - 1/4*q**4 + q**2 + 1/4*q**p = 0 for q.
-2, 0, 1, 2
Let f(m) be the first derivative of 1/10*m**6 - 9/25*m**5 + 7/5*m**3 + 24/5*m + 27/5*m**2 - 21/20*m**4 - 260. Factor f(s).
3*(s - 4)*(s - 2)*(s + 1)**3/5
Let x(j) = -11*j**2 - 6*j + 32. Let l(r) = 10*r**2 + 5*r - 30. Let a = -491 - -486. Let u(y) = a*x(y) - 6*l(y). Factor u(f).
-5*(f - 2)*(f + 2)
Let n(u) = -u**2 + 11*u - 26. Let c be n(6). Suppose 6*g + p - 10 = 3*g, -c*p = -5*g + 28. Solve -88*f + f**2 + 484 + 6*f**2 - g*f**2 + f**2 = 0 for f.
11
Let d be (1 + 1)*(-3)/(-2). Let l be (-2)/(-7)*476/12*d. Factor 15*v - l*v - 6*v**2 + 15*v.
-2*v*(3*v + 2)
Suppose f = 2, -39*f + 8 = 4*i - 35*f. Let a(w) be the second derivative of -8/3*w**3 - 2/5*w**6 + 7/5*w**5 + 0 + i*w**2 - 3*w + 0*w**4. Factor a(u).
-4*u*(u - 2)*(u - 1)*(3*u + 2)
Suppose -1126*h - 262 + 1444 + 1070 = 0. Factor 0 - 2/7*b + 9/7*b**4 - 9/7*b**h + 2/7*b**3.
b*(b - 1)*(b + 1)*(9*b + 2)/7
Let t = -175244 - -175246. Factor -5/4*g**t - 3/4*g + 9/4 - 1/4*g**3.
-(g - 1)*(g + 3)**2/4
Let d(l) be the second derivative of -169*l**7/105 + 1976*l**6/3 + 34329*l**5/50 - 7034*l**4/15 + 1172*l**3/15 - 4363*l. Solve d(v) = 0.
-1, 0, 2/13, 293
Let x(m) be the second derivative of m**5/5 - 2*m**4/3 + 3823*m. Let x(z) = 0. What is z?
0, 2
Let 4*s**3 + 0 + 4/3*s**4 + 0*s - 16/3*s**2 = 0. What is s?
-4, 0, 1
Let w be ((-3)/9)/(26/(-156)). Let r be ((-1)/4 - 885/(-100)) + 19 + -22. What is x in -98/5 - 2/5*x**w - r*x = 0?
-7
Let x(j) be the third derivative of j**8/42 - j**7/21 - 71*j**6/60 + 113*j**5/15 - 53*j**4/3 + 40*j**3/3 - 2062*j**2. Factor x(m).
2*(m - 2)**3*(m + 5)*(4*m - 1)
Let s(l) = 43*l**2 - 1300*l - 2580. Let f(g) = -32*g**2 + 1299*g + 2582. Let m(i) = -4*f(i) - 3*s(i). Find p such that m(p) = 0.
-1294, -2
Let s(m) = m**3 + 4*m**2 + m