w*l**2 - 3*l**3 + 0*l**3.
-3*(l - 2)**2*(l + 1)
Let l(v) be the first derivative of v**6/30 - 3*v**5/25 - 9*v**4/10 + 22*v**3/15 + 81*v**2/10 + 9*v + 627. Determine h, given that l(h) = 0.
-3, -1, 3, 5
Let q(f) be the third derivative of -f**7/210 - 11*f**6/40 - 19*f**5/6 - 8*f**4 + 208*f**3/3 + 970*f**2. Factor q(v).
-(v - 1)*(v + 4)**2*(v + 26)
Suppose 88*o - 989 = -989. Let y(i) be the first derivative of i**2 + 1/14*i**4 + 21 + o*i + 16/21*i**3. Factor y(r).
2*r*(r + 1)*(r + 7)/7
What is r in 6*r**5 - 97/2*r**4 - 237/2*r**2 + 130*r**3 + 9*r + 0 = 0?
0, 1/12, 2, 3
Let b(d) = -39*d**3 + 705*d**2 - 192*d + 19. Let o(l) = -37*l**3 + 706*l**2 - 191*l + 20. Let z(h) = 6*b(h) - 5*o(h). Factor z(a).
-(a - 14)*(7*a - 1)**2
Factor 621*n + 4*n**3 + 70*n**2 + 141*n**2 - 185*n**2 + 78*n**2 - 729.
(n - 1)*(2*n + 27)**2
Let n(b) be the second derivative of b**6/75 - 23*b**5/50 + 3*b**4 + 4345*b. Let n(a) = 0. What is a?
0, 5, 18
Factor 24964/3 + 316/3*s + 1/3*s**2.
(s + 158)**2/3
Let o = 66 - 63. Let y be o - 80/(-35) - 5. Suppose -4/7*h**4 + 0 + 0*h - y*h**3 + 0*h**2 - 2/7*h**5 = 0. What is h?
-1, 0
Let u(h) be the third derivative of h**6/60 + 11*h**5/10 + 119*h**4/12 + 29*h**3 - 2*h**2 - 872*h - 2. Suppose u(q) = 0. Calculate q.
-29, -3, -1
Suppose -l + 6*l = 1190. Let s be (l/35)/(4/(-10)*-1). Determine r so that 16*r - s + 50 - 1 + 2*r**2 = 0.
-4
Let p(t) = -2 + t - 7*t**2 - 53*t + 2*t - 4*t + 3*t**2. Let v(w) = -3*w - 1. Let j(r) = -p(r) + 2*v(r). Factor j(u).
4*u*(u + 12)
Factor -10140 + 2808*v + 2540513*v**2 - 2540684*v**2 - v**3 + 4*v**3.
3*(v - 26)**2*(v - 5)
Let i(o) = -796*o + 39868. Let f(c) = c**2 - 797*c + 39901. Let k(t) = -4*f(t) + 3*i(t). Solve k(d) = 0 for d.
100
Suppose 34*t + 24 = 40*t. Determine m so that 34*m**3 - 44*m**4 - 40*m + 4*m**5 - 16 + 65*m**4 - t*m**2 + m**4 = 0.
-2, -1/2, 1
Let x(n) be the third derivative of 0*n - 5/4*n**4 + 1 - 8*n**2 + 9/2*n**3 + 1/20*n**5. Let x(z) = 0. Calculate z.
1, 9
Let q(j) be the third derivative of j**6/360 + 13*j**5/30 + 299*j**4/72 + 37*j**3/3 + 2692*j**2. What is h in q(h) = 0?
-74, -3, -1
Let l(k) be the first derivative of 3*k**4/28 + 18*k**3/7 - 75*k**2/14 - 342*k/7 - 6381. Factor l(x).
3*(x - 3)*(x + 2)*(x + 19)/7
Determine w, given that 1/2*w**2 - 99/2*w + 235 = 0.
5, 94
Find b, given that 60 - 3*b**5 - 312/5*b + 381/5*b**4 - 1113/5*b**2 - 21*b**3 = 0.
-1, 2/5, 2, 25
Suppose 93018 = 185*i + 92463. Factor 4/5*x**i + 212/5 + 44*x**2 + 428/5*x.
4*(x + 1)**2*(x + 53)/5
Suppose 0 = -5*v + 4*r + 2390, -5*r - 478 = -5*v + 4*v. Suppose 4*j - 39*j + 5*j**5 - v*j**3 + 508*j**3 + 25*j**4 - 15 - 10*j**2 = 0. Calculate j.
-3, -1, 1
Find k, given that 944 + 21*k + 543 - 385*k - 4*k**2 + 14 + 19 = 0.
-95, 4
Suppose 39*t = 61*t + 60*t - 1230. Let g(v) be the first derivative of -3/32*v**4 + 0*v - 3/8*v**2 + 3/8*v**3 - t. Factor g(j).
-3*j*(j - 2)*(j - 1)/8
Suppose 4*g - 14*g - 20 = 0. Let h(i) = 3*i**2 - 3*i - 6. Let f(k) = k**2 - k. Let b(q) = g*f(q) + h(q). Find t such that b(t) = 0.
-2, 3
Let r(n) be the third derivative of n**8/112 + 9*n**7/140 - n**6/80 - 21*n**5/40 - n**4/16 + 3*n**3 - 3*n**2 + 3*n - 145. Let r(w) = 0. What is w?
-4, -3/2, -1, 1
Let o(w) be the third derivative of w**6/480 + 653*w**5/240 + 6683*w**4/6 + 26569*w**3/6 + 168*w**2. Determine r so that o(r) = 0.
-326, -1
Let q(f) be the second derivative of -f**4/54 + 29*f**3/9 - 560*f**2/9 - 10382*f. Suppose q(v) = 0. What is v?
7, 80
Let h = 356 - 371. Let c be 20 + h + (-5)/1. What is u in c - 25/2*u**4 + 10/3*u**5 + 40/3*u**3 - 5/3*u - 5/2*u**2 = 0?
-1/4, 0, 1, 2
Let j be 12/36 + 1 + (-14)/6. Let r be (-22)/j - (9/(-3) - -4). Determine y, given that r*y**5 + 3*y**4 - 2*y**4 - 163*y**3 + 161*y**3 = 0.
-1/3, 0, 2/7
Factor 158/7*p + 40/7 + 232/7*p**2 + 148/7*p**3 - 2/7*p**5 + 32/7*p**4.
-2*(p - 20)*(p + 1)**4/7
Solve -2*k**5 + 664*k**2 + 4*k**5 + 13302*k**3 - 13530*k**3 - 654*k + 216 = 0.
-12, 1, 9
What is a in 2/7*a**4 + 12/7*a**3 + 80 - 228/7*a - 58/7*a**2 = 0?
-7, -5, 2, 4
Let a(x) be the third derivative of -x**7/1050 - 103*x**6/200 + 781*x**5/150 - 209*x**4/10 + 628*x**3/15 - 7755*x**2. Let a(s) = 0. What is s?
-314, 1, 2
What is j in -640/9 + 536*j - 176/9*j**2 - 10/3*j**3 = 0?
-16, 2/15, 10
Let j = 715 + -716. Let t be (410/20 + -3)*j/(-15). Solve 1 - 1/2*o**2 - t*o = 0.
-3, 2/3
Let q = 2727/742 + -329/106. Let -180/7*t - q*t**3 - 200/7 - 48/7*t**2 = 0. Calculate t.
-5, -2
Let f(x) = -2*x**2 + 40*x + 9050. Let y be f(78). Suppose 1/3*m**y + 5/3*m - 2 = 0. Calculate m.
-6, 1
Let l(c) be the second derivative of 6*c**4 + 16/3*c**3 + 0 - 64*c**2 - 61*c + 11/10*c**5 + 1/15*c**6. Let l(z) = 0. What is z?
-4, 1
Let m(l) be the third derivative of -l**7/945 - l**6/108 + 14*l**5/135 + 8*l**4/27 - 1266*l**2. Solve m(v) = 0.
-8, -1, 0, 4
Suppose -25*y + 8777 + 5623 = 0. What is w in 567*w**5 + y*w**5 - w**2 + 23*w - 39*w**4 - 21*w**3 + 6 + 34*w**2 + 10*w - 1155*w**5 = 0?
-2, -1, -1/4, 1
Let z(q) be the second derivative of -q**4/20 + 176*q**3/5 - 46464*q**2/5 + 100*q. Suppose z(l) = 0. What is l?
176
Solve -194*q**2 + 691 - 502*q**3 - 2*q**4 - 451*q - 459*q**3 - 207 + 1003*q**3 + 121*q = 0.
-2, 1, 11
Let w = 40 - 32. Find r such that -395*r - 84*r**3 - w*r**4 - 588*r**2 + 5*r**4 + 395*r = 0.
-14, 0
Let d(z) = -13*z**2 - 34*z + 151. Let o(f) = -27*f**2 - 66*f + 303. Let b(x) = 9*d(x) - 4*o(x). Factor b(q).
-3*(q + 7)*(3*q - 7)
Suppose 112391*v**3 + 3134*v**2 - 2455489*v + 112387*v**3 - 224779*v**3 = 0. Calculate v.
0, 1567
Let t(a) be the third derivative of -a**5/20 - 21*a**4/4 - 180*a**3 + 6*a**2 + 839*a. Factor t(p).
-3*(p + 12)*(p + 30)
Let b(w) be the third derivative of -w**5/30 + 11*w**4/4 - 32*w**3/3 - 45*w**2 - 4*w. Suppose b(y) = 0. Calculate y.
1, 32
Suppose -10 = 24*n - 29*n. Suppose 26*g**2 - n*g**5 + 8*g**4 - 26*g**2 - 6*g**3 = 0. Calculate g.
0, 1, 3
Let b be (2/3)/(28/105)*16. Let f = b - 28. Find j, given that -17*j - f + 260*j**2 + 3*j**3 - 4*j - 266*j**2 = 0.
-1, 4
Let k(z) = -5676*z + 726530. Let p be k(128). Determine x, given that -2*x + 0 - 2/15*x**p = 0.
-15, 0
Let m = -230039/135 - -1704. Let x(p) be the third derivative of 0*p - 19*p**2 + 0 + 1/36*p**4 + 1/27*p**3 + m*p**5. Let x(v) = 0. Calculate v.
-1, -1/2
Let t(z) be the third derivative of 27*z**7/280 + 303*z**6/160 - 773*z**5/240 - 205*z**4/96 - z**3/2 + 418*z**2. What is a in t(a) = 0?
-12, -1/9, 1
Let x(q) = -7*q**2 - 9*q + 27. Let v(i) be the first derivative of -i**3 - 5*i**2/2 + 14*i + 48. Let y(n) = -9*v(n) + 4*x(n). Find s such that y(s) = 0.
3, 6
Suppose -107/3*v**3 + 1/3*v**4 + 2915/3*v**2 + 0 - 2809/3*v = 0. Calculate v.
0, 1, 53
Let o = 385/124 - 75/124. Let 1/4*h**5 - 9/4*h**4 + 0 - o*h**3 + 0*h + 0*h**2 = 0. What is h?
-1, 0, 10
Let p be 44/24*(-550)/(-5). Let j = p - 201. Solve -2/3*l**3 - j*l**4 + 2/3*l - 4/3 + 2*l**2 = 0 for l.
-2, -1, 1
Let g = 4861 - 4861. Let u(c) be the second derivative of 1/2*c**3 + g - 7*c + 1/12*c**4 + 0*c**2. Factor u(j).
j*(j + 3)
Let f(h) = h**5 - 9*h**4 - 40*h**3 - 42*h**2 - 12*h + 7. Let n(t) = -4*t**4 - 14*t**3 - 14*t**2 - 4*t + 2. Let x(c) = 2*f(c) - 7*n(c). Factor x(p).
2*p*(p + 1)**3*(p + 2)
Let y(m) = m**2 + 2*m. Suppose 11*f = -l + 13*f - 3, -l - 4 = -3*f. Let z(j) = -20*j**2 - 140*j - 605. Let a(h) = l*z(h) - 15*y(h). Factor a(v).
5*(v + 11)**2
Let i(s) = -8*s**3 - 19*s**2 - 26*s - 9. Let n(q) = -28*q + 0 - 21*q**2 + 3 + 2 + 4 - 18 - 10*q**3. Let m(a) = -4*i(a) + 3*n(a). Factor m(d).
(d + 1)**2*(2*d + 9)
Suppose -49 = -4*l + 131. Factor -9*i**3 - 3*i**3 + 10*i**3 - l*i**2 - i**3.
-3*i**2*(i + 15)
Factor -1098500000*d - 1/8*d**4 - 357012500000 - 650*d**3 - 1267500*d**2.
-(d + 1300)**4/8
Let i be -6*4*2/(-16). Factor 84*v**3 + 35*v**3 + 28*v**4 + 40*v**3 + 64*v - 280*v**2 + 29*v**i + 0*v**2.
4*v*(v - 1)*(v + 8)*(7*v - 2)
Let q(w) be the second derivative of -w**7/210 - w**6/150 + 3*w**5/100 + w**4/12 + w**3/15 - 4831*w. Factor q(f).
-f*(f - 2)*(f + 1)**3/5
Let c(i) be the third derivative of 1/6*i**6 + 5/3*i**3 + 1/6*i**5 - 2*i**2 - 25/24*i**4 - 27 + 5/336*i**8 - 2/21*i**7 + 0*i. Let c(w) = 0. What is w?
-1, 1, 2
Suppose 288*v - 28 = 285*v + 2*k, 6*k + 84 = -4*v. Suppose 0*m + 9/2*m**2 + 2*m**3 + v - 5/2*m**4 = 0. What is m?
-1, 0, 9/5
Let i = 1109 - 1075. Let r be 9/(2907/i) - (-328)/494. Factor 2/