 u(q).
2*(q - 1)*(q + 5)/25
Let t(u) be the third derivative of 6*u**2 - 19/60*u**4 + 0*u - 3 - 4/3*u**3 + 1/150*u**5. Find m such that t(m) = 0.
-1, 20
Let n(o) be the third derivative of 0 + 0*o**3 + 5/336*o**8 - 80*o**2 - 1/42*o**7 + 1/12*o**5 - 1/24*o**6 + 0*o**4 + 0*o. Solve n(f) = 0 for f.
-1, 0, 1
Let j(x) = 25*x**2 - 268*x - 1470. Let u be j(-4). Factor -8/7 + 30/7*k + 8/7*k**u.
2*(k + 4)*(4*k - 1)/7
Suppose 0 = -y + 236 - 245, -u - 24 = 3*y. Factor 3/5*i**3 + 18/5*i + u*i**2 + 0.
3*i*(i + 2)*(i + 3)/5
Suppose 3944 = -34*l - 0*l. Let f = l - -1058/9. Factor 8/9 - 2/9*v**3 + f*v + 4/9*v**2.
-2*(v - 4)*(v + 1)**2/9
Find x, given that -3*x**4 - 12*x**3 + 14*x**3 + 376 - 376 + 3*x**2 + 2*x**4 = 0.
-1, 0, 3
Let s(c) = 20*c**2 - 642*c - 635. Let o(r) = 40*r**2 - 1283*r - 1260. Let m(z) = 3*o(z) - 7*s(z). What is q in m(q) = 0?
-1, 133/4
Suppose 0 = -5*r - 5*s + 15, 4*r + 5*s = 23 - 12. Let x be 22/4 - 3 - 2/r. Let -1/2*q**4 + x + 11/2*q + 9/2*q**2 + 1/2*q**3 = 0. Calculate q.
-1, 4
Let h be ((-15)/(-45) - (-293)/105) + -2. Let t = h + -16/35. Factor t*b**2 - 8/3 - 4/3*b + 1/3*b**3.
(b - 2)*(b + 2)**2/3
Suppose -23*s + 21*s + 4*h + 1130 = 0, -2*s = 4*h - 1090. Let w = -553 + s. Factor 2/3*t**w - 4/3*t + 0.
2*t*(t - 2)/3
Let i be -41*10*((-192)/(-40))/6. Let n = i + 2657/8. Suppose 7/8*x**4 - 1 + 3/2*x + n*x**3 + 23/4*x**2 = 0. Calculate x.
-2, -1, 2/7
Let o be ((-5590)/(-180) - 31)*6. Determine n so that -o*n**2 + n + 0 = 0.
0, 3
Let k be (-18)/(-24) + (-9790)/520 + 19. Find o, given that -14/13*o**3 + 60/13*o**2 + k - 58/13*o = 0.
2/7, 1, 3
Let y(f) be the second derivative of 1/9*f**3 - 1/40*f**5 - 77*f + 1/180*f**6 + 0*f**4 + 0 + 0*f**2. Factor y(q).
q*(q - 2)**2*(q + 1)/6
Let g be ((-8)/32)/((-10)/(-6056)). Let i = -151 - g. Factor 0 + 6/5*t**4 - 6/5*t**3 + 0*t + 2/5*t**2 - i*t**5.
-2*t**2*(t - 1)**3/5
Let a be 11740/(-26415)*((-2)/(-4) - 730/8). Solve -100/3 + 35/3*t**4 + a*t**3 + t**5 + 27*t**2 - 140/3*t = 0 for t.
-5, -2, -2/3, 1
Let w(r) = -5*r - 65. Let x be w(-15). Let d be (-8)/69*(66/12 - x). Factor -16/23*h - 2/23 - d*h**3 - 26/23*h**2.
-2*(h + 1)**2*(6*h + 1)/23
Let h = -532 + 532. Let z(b) be the first derivative of 0*b**3 + b**4 - 1/3*b**6 - 5 + h*b + 0*b**5 - b**2. Factor z(t).
-2*t*(t - 1)**2*(t + 1)**2
Let v = 17029/6387 - -1/2129. Factor 4/3*j**3 + 48 - 20*j - v*j**2.
4*(j - 3)**2*(j + 4)/3
Let d = 20 - 20. Let k = -3904/5 - -27343/35. Factor -k*z**4 - 9/7*z**2 - 12/7*z**3 + d*z + 0.
-3*z**2*(z + 1)*(z + 3)/7
Let x be (-783)/(-210) - (-132)/(-440). Let l be (-82)/(-42) + (-2)/3. Find f such that 4/7 - l*f**4 + x*f + 41/7*f**2 - f**5 + 19/7*f**3 = 0.
-1, -2/7, 2
Let f(p) = p**2 - 141*p + 2422. Let i be f(20). What is b in 0*b + 0 + 2/9*b**4 + 8/9*b**i + 10/9*b**3 = 0?
-4, -1, 0
Let y(i) be the second derivative of i**4/4 - 309*i**3/2 + 2699*i. Determine l, given that y(l) = 0.
0, 309
Let p(d) = 2*d**3 + 10*d**2 - 13*d - 4. Let g be p(-6). Factor -13*u**4 - 2*u**5 - 97 + 497 - 194*u**3 + 556*u**g - 760*u + 45*u**4.
-2*(u - 5)**2*(u - 2)**3
Let r = -283 - -285. Determine p, given that 50 + 71*p**2 + 11*p + 4*p + 69*p**r - 145*p**2 = 0.
-2, 5
Factor -1296/13*z**2 + 0*z + 0 - 2/13*z**3.
-2*z**2*(z + 648)/13
Let i(f) be the third derivative of 4/9*f**3 + 0*f**6 + 0 + 55*f**2 + 0*f**4 + 0*f - 1/45*f**5 + 1/1260*f**7. Find g, given that i(g) = 0.
-2, 2
Suppose -6*m + 3*r = -3*m + 741, 5*r = -5. Let s = -242 - m. Factor 2*b + s + 1/6*b**2.
(b + 6)**2/6
Let l be (-6 - (-973)/70)*(-42)/1. Let d = -331 - l. Determine f so that 0 + d*f + 2/5*f**2 = 0.
-2, 0
Let z(h) = 3*h**2 - h - 4. Let m = 2 - 0. Let r(u) = -29*u - 34*u**2 + 17 + 21*u**2 + 33*u. Let b(n) = m*r(n) + 9*z(n). Factor b(x).
(x - 2)*(x + 1)
Let z(n) be the second derivative of -n**6/15 + 12*n**5/5 - 55*n**4/2 + 242*n**3/3 - 2*n - 318. Suppose z(r) = 0. Calculate r.
0, 2, 11
Suppose -4*w - i + 38 = 36, 0 = -3*w + 12*i - 24. Solve 4/7*q**2 + 4/7*q**3 + 0*q + w + 1/7*q**4 = 0 for q.
-2, 0
Let n = 164665 + -329267/2. Determine m so that n*m + 29/2*m**2 + 18 + m**3 = 0.
-12, -3/2, -1
Let n(b) be the first derivative of 91 + 23/7*b**4 - 184/21*b**3 - 22/35*b**5 + 88/7*b**2 - 64/7*b + 1/21*b**6. Find g such that n(g) = 0.
1, 2, 4
Let p(l) = -8*l**4 + 272*l**3 + 368*l**2 + 88*l - 7. Let t(s) = 9*s**4 - 271*s**3 - 369*s**2 - 89*s + 6. Let o(v) = -6*p(v) - 7*t(v). Let o(f) = 0. Calculate f.
-1, -1/3, 0, 19
Factor 92 + 702 + 2*h**2 - 3*h**2 - 399*h - 2*h**2 + 4*h**2.
(h - 397)*(h - 2)
Let x be 6/24*12 + (-3 - -3 - -1). Factor -2*q**2 + 0 + 1/4*q**3 + x*q.
q*(q - 4)**2/4
Let b(h) be the first derivative of 135*h**6/16 - 279*h**5/20 - 129*h**4/8 + h**3 + 835. Determine t so that b(t) = 0.
-2/3, 0, 2/45, 2
Let k be 20/8*(10/1 - 92/10). Factor -17/2*q + 0 + 1/2*q**k.
q*(q - 17)/2
Let f = -472 + 466. Let x be (((-675)/(-10))/(-15))/f. Factor -x*v**3 + 0 + 1/4*v**4 + v + 0*v**2.
v*(v - 2)**2*(v + 1)/4
Let u(q) be the first derivative of -q**5/10 - 23*q**4/2 - 15*q**3 + 23*q**2 + 91*q/2 - 3778. Factor u(c).
-(c - 1)*(c + 1)**2*(c + 91)/2
Let g(k) = 9*k**2 - 180*k + 465. Let y(o) = -2*o**2 + 48*o - 116. Let r(q) = -5*g(q) - 21*y(q). Find t such that r(t) = 0.
-37, 1
Let c be ((-5)/(70/8))/(12 + 2040/(-168)). Let u(p) be the second derivative of -1/100*p**5 - 3*p - 7/30*p**3 - 3/10*p**2 - 1/12*p**c + 0. Factor u(f).
-(f + 1)**2*(f + 3)/5
Suppose 5*d + q = 9, 0 = 3*d + 2*q - 5 + 1. Let h = 61/146 + 6/73. Factor -4*x**2 + 0 + 0*x + h*x**5 - d*x**3 + x**4.
x**2*(x - 2)*(x + 2)**2/2
Let c be -3*6/((-234)/13) + 9/(-10). Let m(k) be the third derivative of 1/16*k**4 + 0 + 34*k**2 + c*k**5 - 3/80*k**6 + 0*k - 1/2*k**3. Factor m(t).
-3*(t - 1)**2*(3*t + 2)/2
Let k(f) be the third derivative of -f**8/2520 + 11*f**7/1575 - 7*f**6/150 + 7*f**5/45 - 53*f**4/180 + f**3/3 - 1558*f**2. Suppose k(o) = 0. What is o?
1, 3, 5
Suppose -5*x - 5 = 6*a, 71*a = 2*x + 68*a - 25. Let 6/5*q**3 - 1/5*q**4 + 4/5*q**2 + 0 - 8/5*q - 1/5*q**x = 0. Calculate q.
-2, 0, 1, 2
Let s(m) be the third derivative of -1/40*m**5 + 1/140*m**7 + 0 + 1/16*m**4 + 0*m - 1/80*m**6 + 0*m**3 + 110*m**2. What is q in s(q) = 0?
-1, 0, 1
Let t(v) = -v**2 + 78*v - 678. Let c be t(68). Factor -1/8*y**c - 1/8*y + 0.
-y*(y + 1)/8
Let g be (-3 - 0)/((-30)/50). Factor 9*a + 26*a**3 - 358*a**4 + 2*a**g + 346*a**4 - a - 24*a**2.
2*a*(a - 2)**2*(a - 1)**2
Let -12081539*i + 392325*i - 2*i**3 + 0*i**3 - 6777036016 - 7022*i**2 - 1846810*i - 1990*i**2 = 0. Calculate i.
-1502
Factor -1/5*f**4 - 84/5*f + 41/5*f**3 + 44/5*f**2 + 0.
-f*(f - 42)*(f - 1)*(f + 2)/5
Let c(z) be the first derivative of 5*z**3 + 215*z**2/2 + 70*z + 1078. Factor c(s).
5*(s + 14)*(3*s + 1)
Let c(q) = -3*q**3 - 90*q**2 - 75*q + 351. Let x be c(-29). Let w = 11/14 + -2/7. Find d such that d**2 - 1/2*d**x + w*d - 1 = 0.
-1, 1, 2
Let t = -43 - -45. Suppose t*d - 3 + 3 = 0. Suppose -3*w**2 - 30*w + 0 + 33*w + d = 0. Calculate w.
0, 1
Let q(z) be the third derivative of -8/15*z**5 + 1/252*z**8 + 1/90*z**6 + 0 + 2*z**2 - z + 4/105*z**7 + 8/9*z**4 + 0*z**3. Factor q(s).
4*s*(s - 1)**2*(s + 4)**2/3
Let r be (6 - 175/28) + (-3)/(-12). Let b(p) be the third derivative of -15*p**2 + r*p + 5/8*p**4 + 1/12*p**5 - 10/3*p**3 + 0. Solve b(w) = 0 for w.
-4, 1
Suppose -14/13*z + 2/13*z**3 - 120/13 + 12/13*z**2 = 0. What is z?
-5, -4, 3
Let g(r) = 4*r + 40. Let o be g(-10). Suppose o = 2*t - 10 - 2. Factor 3*z**4 - t*z + 2 - 5 + 3 - 9*z**2.
3*z*(z - 2)*(z + 1)**2
Let h(q) be the third derivative of -q**5/30 + 5*q**4/12 + 8*q**3 - 2*q**2 + 38*q. Let h(w) = 0. Calculate w.
-3, 8
Factor 2/5*r**2 + 254898/5 - 1428/5*r.
2*(r - 357)**2/5
Solve -714*x - 46365 + 23345 + 23380 + 6*x**3 - 15*x**2 = 0 for x.
-10, 1/2, 12
Let i(h) = -30*h**3 - 114*h**2 - 2*h + 4. Let g(m) = m**4 + 3*m**3 - m**2 - m + 2. Let b(j) = 2*g(j) - i(j). Find l, given that b(l) = 0.
-14, -4, 0
Suppose -5*u - 2*c = -393 + 1168, 0 = -5*c. Let t be 124/u + 8/10. Let -3/4*w**2 + t*w**3 + 0 + 1/4*w**4 + 1/2*w = 0. Calculate w.
-2, 0, 1
Determine g, given that -103*g**4 - g**3 - 30*g**3 + 49*g**4 - 112*g**2 - 21*g**3 + 56*g**4 = 0.
-2, 0, 28
Let k(t) = 2*t**3 - 6*t**2 + 7. Let b be k(3). Suppose 4*i + 1 = -b, 0 = -5*r + i + 12. Factor -6 + 10*y**2 + 0 - 25*y - 14 - 15*y**r.
-5*(y + 1)*(y + 4)
Suppose 12 = 4*l - 2*q + 2, -4*l + 13 = q. Factor 47