f + 2)/2
Let t(f) be the second derivative of f**4/6 + f**3/3 - 2*f**2 + 3078*f. Factor t(r).
2*(r - 1)*(r + 2)
Let a(f) be the third derivative of -5*f**7/168 - 37*f**6/120 + f**5/20 - 88*f**2 + f. Factor a(s).
-s**2*(s + 6)*(25*s - 2)/4
Find a such that -12*a**2 - 196 - 988*a + 162 - 294 = 0.
-82, -1/3
Suppose 80*k = 2*d + 84*k - 1352, -2712 = -4*d - 4*k. Let y be -14*(-1)/(-5)*d/(-476). Factor 2/3*w**2 - y + 2/3*w.
2*(w - 2)*(w + 3)/3
Let o(i) = -i**3 - 3*i**2 + 8. Let a be o(-3). Suppose -a*g + 1 + 15 = 0. Determine h, given that 4*h**4 - 5*h + 8*h - 4*h**g + 8*h**5 + h - 12*h**3 = 0.
-1, 0, 1/2, 1
Let n(h) be the third derivative of -64*h**2 + 3/140*h**6 - 3/28*h**4 + 4/735*h**7 - 1/105*h**5 - 2/21*h**3 + 0 + 0*h. Determine j so that n(j) = 0.
-2, -1, -1/4, 1
Let k(u) be the second derivative of -68/15*u**3 + 0 - 16/5*u**2 - 1/25*u**6 - 34/15*u**4 - 4*u - 1/2*u**5. Let k(o) = 0. Calculate o.
-4, -2, -1/3
Let q(k) = 18*k**2 + 26 + 31*k**2 + 9*k + 62*k. Let x(s) = -16*s**2 - 24*s - 9. Let t = 1516 + -1527. Let u(o) = t*x(o) - 4*q(o). Determine h so that u(h) = 0.
-1/2
Let j(n) be the second derivative of n**4/12 - 3*n**3/2 - 5*n**2 - 15*n - 35. What is z in j(z) = 0?
-1, 10
Find g such that -5*g**3 + 1280*g**2 - 615*g**2 - 465*g**2 + 205*g = 0.
-1, 0, 41
Let l(i) be the first derivative of 747*i**4/4 + 2804*i**3/3 - 366*i**2 + 16*i - 65. Factor l(z).
(z + 4)*(9*z - 2)*(83*z - 2)
Let v(i) be the third derivative of -i**7/840 - 13*i**6/480 - 43*i**5/240 - 5*i**4/32 + 3*i**3 - 2*i**2 - i + 1918. Factor v(j).
-(j - 1)*(j + 3)**2*(j + 8)/4
Let w be (-1)/(308/(-630)) + 96/(-176). Factor -1/2*g**3 + 15/4*g**2 - 7/4 - w*g.
-(g - 7)*(g - 1)*(2*g + 1)/4
Let m(l) be the third derivative of -3/4*l**4 - 10*l**2 + 0 + 1/10*l**6 + 0*l - 1/20*l**5 + 0*l**3 - 1/70*l**7. Factor m(u).
-3*u*(u - 3)*(u - 2)*(u + 1)
Let c(q) = 6*q + 171. Let u be c(-25). Let -9*v**2 + 27*v - 10*v**2 + u*v + 32 + 4*v**3 + 43*v**2 = 0. What is v?
-2
Let t be ((-29)/377)/((-3)/14) + 14/(-273). Factor 18/13*r + 22/13*r**2 - t.
2*(r + 1)*(11*r - 2)/13
Factor -o**2 - 228*o - 99*o + 100*o - 296 + 446 + 540.
-(o - 3)*(o + 230)
Suppose 0 = 3*d + 5*s - 9, 4*d + 6*s - s = 17. Let v be (d/14)/4 - (-475)/399. Factor -v - 10/3*p - 8/3*p**2 - 2/3*p**3.
-2*(p + 1)**2*(p + 2)/3
Suppose 380/3*j - 1012*j**2 + 0 + 64/3*j**4 + 2016*j**3 = 0. Calculate j.
-95, 0, 1/4
Suppose 0 + 169*h**2 + 1/4*h**3 - 677/4*h = 0. What is h?
-677, 0, 1
What is l in 604/7*l + 496/7 - 20/7*l**2 = 0?
-4/5, 31
Let q(l) be the third derivative of 5*l**5/4 - 145*l**4/12 - 440*l**3/3 + l**2 + 2*l - 191. Solve q(z) = 0 for z.
-2, 88/15
Let i = -2/3342725 + 10028189/23399075. Let -i*z**2 - 66/7 - 39/7*z = 0. Calculate z.
-11, -2
Let y = 163943/7 + -23465. Let r = y + 659/14. Let -1/2*f**2 + r*f - 2 = 0. Calculate f.
1, 4
Suppose -6*t + 2580 = 2556. Suppose t*r = 2*q, 2*r - r = -q. Determine k so that 0*k**2 - 6/7*k**3 + q + 2/7*k**4 + 8/7*k = 0.
-1, 0, 2
Let q(i) be the first derivative of 49*i**6/2 + 1148*i**5/5 - 167*i**4/3 + 32*i**3/9 + 3483. Factor q(s).
s**2*(s + 8)*(21*s - 2)**2/3
Let n(b) be the first derivative of -b**6/3 + 32*b**5/5 + 73*b**4 + 664*b**3/3 + 295*b**2 + 184*b - 9081. Let n(p) = 0. What is p?
-4, -1, 23
Factor 2/3 - 64/3*x**2 + 62/3*x.
-2*(x - 1)*(32*x + 1)/3
Let t(b) = 57*b**2 - 4*b - 3. Let u be t(-1). Let o = u - 54. Find v, given that -o*v**5 - 46*v + 46*v = 0.
0
Let f be 21 - 31/(-9)*(-10 + 4). Factor -15 - f*r**3 + 5/3*r**2 + 3*r.
-(r - 5)*(r - 3)*(r + 3)/3
Let x(z) be the first derivative of -25*z**3/3 + 120*z**2 + 100*z - 88. Let x(s) = 0. Calculate s.
-2/5, 10
Let i(u) be the first derivative of -2*u**6/3 + 116*u**5/5 - 162*u**4 - 1704*u**3 + 18630*u**2 - 56700*u - 9432. Let i(x) = 0. What is x?
-7, 3, 15
Let z(m) be the second derivative of m**7/56 + m**6 + 657*m**5/40 + 95*m**4/2 + 361*m**3/8 + m - 818. Factor z(l).
3*l*(l + 1)**2*(l + 19)**2/4
Let w = -374 + 384. Suppose 3*q = 2*q + 3. Factor 13*r**3 - r**2 + 2*r**2 - w*r**q + 2*r**2.
3*r**2*(r + 1)
Factor 242 - 2166 - 1464 + 99*o + 37*o**2 + o**3 + 77*o.
(o - 7)*(o + 22)**2
Let v(x) = 5*x**4 + 3*x**3 + 4*x. Let u(n) = 2*n**3 - 16*n**3 - n**4 + 13*n**3 - n**2. Let m(d) = -4*u(d) - v(d). Factor m(j).
-j*(j - 2)*(j - 1)*(j + 2)
Let z be (-840)/336*(-2 + 186/105). What is t in -2/7*t**3 + z*t**2 - 2/7*t + 0 = 0?
0, 1
Let y be (-2 - -7 - 3)/(99 - (-985694)/(-9964)). Determine k so that 24/7*k**2 + y*k + 20 = 0.
-7, -5/6
Let w = 3/746597 + 2577249337/872771893. Let z = w + -16/167. Find q such that -1/7*q**3 - 9/7*q**2 - z*q - 12/7 = 0.
-6, -2, -1
Let p be 778/8 + (-9 - 195/(-20)). Solve 175 + 9*a + a - p - 88 + a**2 = 0.
-11, 1
Let g = -36 - -23. Let j = g - -17. Factor -7*c + c + c**2 + j*c.
c*(c - 2)
Let b be (-1)/(-4) + 74826/360. Let o = b + -988/5. Factor 0 + o*q**2 - 3/2*q**3 - 9*q.
-3*q*(q - 6)*(q - 1)/2
Let l be (9 - 38/4)*-1238. Solve -680*r**4 + 140*r**4 - 32 + 444*r - 12*r + 1137*r**3 - 1672*r**2 + 56*r**3 + l*r**3 = 0 for r.
2/15, 2/9, 1, 2
Suppose 2*f + 9/2*f**3 - 57/4*f**2 + 21 - 1/4*f**4 = 0. Calculate f.
-1, 2, 3, 14
Solve 62802180600800000 + 103977120200000*o + 68859020000*o**2 + 1/4*o**5 + 22801000*o**3 + 3775*o**4 = 0.
-3020
Find h, given that 123/2*h**3 + 125/2*h**2 - 123/2*h - 62 - 1/2*h**4 = 0.
-1, 1, 124
Let y(d) be the first derivative of 7*d**5 + 3175*d**4/4 - 910*d**3/3 - 952. Suppose y(a) = 0. Calculate a.
-91, 0, 2/7
What is c in 3*c**3 - 12/5*c**4 - 27*c + 27/5 + 21*c**2 = 0?
-3, 1/4, 1, 3
Let u(b) = -b**2 + 3*b - 1. Let z(r) = -25*r**2 - 55*r - 650. Let s(d) = 20*u(d) - z(d). Factor s(h).
5*(h + 9)*(h + 14)
Let a = -108215/144 + 6764/9. Let d(z) be the third derivative of 26*z**2 - 7/24*z**3 + 0*z + 0 - a*z**4 + 1/240*z**5. What is o in d(o) = 0?
-1, 7
Let m(y) be the second derivative of -115*y**4/12 - 145*y**3/3 - 60*y**2 - 1096*y + 2. Let m(o) = 0. What is o?
-2, -12/23
Suppose -2*v - 7*q + 4 = -6*q, 0 = q. Factor -123 - 216*h - 139 - 45*h**v - 74 - 3*h**3.
-3*(h + 4)**2*(h + 7)
Suppose 885/7*r - 4350/7 - 3/7*r**2 = 0. What is r?
5, 290
Let b(r) be the first derivative of 5*r**4/8 + 145*r**3/6 + 100*r**2 + 130*r - 1147. Determine k, given that b(k) = 0.
-26, -2, -1
Let f(v) = 135*v + 9*v**2 + 110 + 30 + 6*v**2. Let d(k) = -130*k**2 - 1215*k - 1260. Let i(c) = 4*d(c) + 35*f(c). Solve i(s) = 0 for s.
-1, 28
Let y = 3170 - 3167. Let v(k) be the first derivative of -55/4*k**4 - 20*k**y + 0*k - 10*k**2 - 3*k**5 - 20. Suppose v(m) = 0. What is m?
-2, -1, -2/3, 0
Factor 719*l**3 - 717*l**3 - 42*l**2 + 9*l - 101*l.
2*l*(l - 23)*(l + 2)
Let -206/7*q + 0 - 2/7*q**2 = 0. Calculate q.
-103, 0
Solve 1/7*w**2 + 2809/7 + 106/7*w = 0.
-53
Let c = 96 - 14. Suppose 2*t = -3*t - 3*l + 116, 4*t - 3*l - c = 0. Factor -t - 1 - 2*x**2 - 16*x - 9.
-2*(x + 4)**2
Suppose -4*n = 7*n - 1551. Factor 72*k**2 - n*k**2 + 64*k**2 + 75 + 10*k.
-5*(k - 5)*(k + 3)
Factor -1139 - 378542*y**2 + 378540*y**2 - 654*y - 161.
-2*(y + 2)*(y + 325)
Determine o, given that -3*o**3 - 121*o - 28 + 84*o**2 - 104*o + 28 = 0.
0, 3, 25
Let x(r) be the second derivative of -5*r**4/12 - 1225*r**3/6 + 2866*r. Factor x(g).
-5*g*(g + 245)
Let z(s) = 37*s**2 - 2*s. Let h be z(1). Suppose -10*f + 3*f + h = 0. Factor -13*g**4 + 5 - 25*g + 21*g**4 + 50*g**2 + 17*g**4 - f*g**5 - 50*g**3.
-5*(g - 1)**5
Let w = 2619 - 2617. Let v(x) be the second derivative of 0*x**3 + 0*x**w + 19*x - 2/45*x**6 + 1/12*x**5 + 0 - 1/18*x**4 + 1/126*x**7. Factor v(t).
t**2*(t - 2)*(t - 1)**2/3
Let w(n) = n**2 - 12*n. Let d(t) = t**3 - 8*t**2 + 10*t - 9. Let c be d(7). Let j be w(c). Factor j*o**3 - 18*o**3 + 16*o**2 + 2*o**4 + 2*o**4 + 2*o**3.
4*o**2*(o - 2)**2
Solve 160 - 2/5*b**3 + 34/5*b**2 + 368/5*b = 0.
-4, 25
Solve -67*r + 256*r**3 - 17*r**2 + r**4 - 26*r**2 + 261*r**3 - 30 - 522*r**3 = 0.
-3, -1, 10
Let d be -3116*(-8)/1440*6. Let j = 104 - d. Find a, given that -4/15*a + 0 - j*a**2 = 0.
-2, 0
Let a(h) be the third derivative of -2*h**2 + 0*h - 1/42*h**7 + 40 + 5/12*h**5 - 10/3*h**3 + 0*h**4 + 0*h**6. Determine r, given that a(r) = 0.
-2, -1, 1, 2
Let x(l) = 4*l - 46. Let s be x(12). Let g be 4/20*((-264)/(-28) - 8). Let -g*h - 20/21 + 2/21*h**s = 0. Calculate h.
-2, 5
Let c(l) = 9*l**2 - 7*l**3 + 9*l**3 + 13 - 3*l**3 + 3*l**3 + 25*l. Let i(p) = -2*p**3 - 8*p**2 - 24*p - 12. Let z(f) 