1/2*y**4 - 1185408*y - 21168*y**2. Factor c(t).
-2*(t + 84)**3
Factor -42*y + 62 + 14 - 78*y + y**2 + 43*y.
(y - 76)*(y - 1)
Let g(v) = -v**2 - 8*v + 1. Let w(f) = f**2 + 9*f - 2. Let d = -73 - -78. Let r be -2*(d + (-21)/3). Let q(k) = r*w(k) + 5*g(k). Suppose q(i) = 0. What is i?
-3, -1
Factor 43254*v - 21634*v - 27*v**2 - 21632*v.
-3*v*(9*v + 4)
Let b(f) be the third derivative of 1/2352*f**8 - 1/56*f**4 + 5/21*f**3 - 135*f**2 + 0*f + 1/245*f**7 + 0 + 1/420*f**6 - 4/105*f**5. Let b(v) = 0. Calculate v.
-5, -2, -1, 1
Suppose 204*p**2 + 1429869*p**3 + 74*p**2 - 1431982*p**3 + 4232 - 92*p**4 - p**5 + 6532*p = 0. Calculate p.
-46, -1, 2
Let a be -1 - -16 - (66 - (-3025)/(-55)). Factor 0 + 4/3*l**5 - 4/3*l**a - 8/3*l**3 + 0*l**2 + 0*l.
4*l**3*(l - 2)*(l + 1)/3
Let p(w) = 185*w**3 + 1204*w**2 + 1896*w + 421. Let g(k) = 93*k**3 + 604*k**2 + 948*k + 209. Let z(r) = 7*g(r) - 3*p(r). Solve z(s) = 0 for s.
-25/6, -2, -1/4
Let d(t) be the first derivative of t**4/20 + 97*t**3/3 + 58563*t**2/10 - 59049*t/5 + 360. Factor d(y).
(y - 1)*(y + 243)**2/5
Let x = 2565 + -1859. Let c be 1/((-7)/(-12)) - x/(-2471). What is f in 0 + 4/15*f + 2/15*f**c = 0?
-2, 0
Determine o, given that 2/5*o**2 + 52/5*o - 126 = 0.
-35, 9
Suppose 6*c - 615 = 855. Let j be c/585 - (-3)/(-27). Factor -j*t**3 + 0*t - 2/13*t**2 - 2/13*t**4 + 0.
-2*t**2*(t + 1)**2/13
Let q(p) be the third derivative of -p**7/1680 + 11*p**6/480 - 101*p**5/480 + 5*p**4/12 + 643*p**2 + 3*p. Determine s so that q(s) = 0.
0, 1, 5, 16
Let g(x) be the second derivative of x**6/6 - x**5/4 - 65*x**4/6 + 70*x**3 - 180*x**2 + 2938*x. Factor g(a).
5*(a - 3)*(a - 2)**2*(a + 6)
Let i(t) be the first derivative of -t**4 + 8*t**3 + 32*t**2 - 384*t + 2151. Factor i(n).
-4*(n - 6)*(n - 4)*(n + 4)
Let q(z) = z**3 - 21*z**2 + 18*z + 47. Let r be q(20). Let j be 36/224 - r/(-56). Solve 0*v + j*v**4 - 2/7*v**2 + 0*v**3 + 0 = 0.
-1, 0, 1
Determine y so that 0 - 3/2*y**4 + 0*y + 21/2*y**3 - 15*y**2 = 0.
0, 2, 5
Let u(b) = -42*b**2 - 65*b - 440. Let h(v) = 50*v**2 + 66*v + 438. Let t(g) = -5*h(g) - 6*u(g). Factor t(r).
2*(r + 15)**2
Let o(a) = -a**3 - 8*a**2 + 17*a - 30. Let v(m) = 11*m - 32. Let b be v(2). Let g be o(b). Factor 0 - 2/11*c**4 + 2/11*c**5 + 2/11*c**2 + g*c - 2/11*c**3.
2*c**2*(c - 1)**2*(c + 1)/11
Let c(q) be the first derivative of 2*q**4 + 268*q**3/3 + 304*q**2 - 372*q - 613. Suppose c(g) = 0. Calculate g.
-31, -3, 1/2
Suppose -4*d + 51 - 10 = -3*o, -3*o = 7 + 26. Factor 4/7*b**3 - 48/7*b + 36/7*b**d - 80/7.
4*(b - 2)*(b + 1)*(b + 10)/7
Let y(s) be the first derivative of -1/4*s**3 - 19 + 45/4*s - 21/4*s**2. Suppose y(x) = 0. Calculate x.
-15, 1
Let k(l) = 3*l**2 - 2430*l + 492070. Let d(f) = 12*f**2 - 9720*f + 1968279. Let z(t) = -5*d(t) + 21*k(t). Determine s, given that z(s) = 0.
405
Let v be 8 + 26/(-3) + 6 + -5. Let l be (-22)/6 - -12*3/9. Solve -l*n**3 - v*n**2 + 0 + 0*n = 0.
-1, 0
Let n be -13 + 18/3 - -7. Suppose n = -8*b + 13 + 3. Find v, given that 0 + 0*v**b - 1/5*v**3 + 0*v + 1/5*v**4 = 0.
0, 1
Let a(z) = z**3 + z**2 - 1. Let u be (-5)/4 - -1 - (-741)/228. Let t(n) = 3*n**u - 8*n**3 + 2 - 3*n + n**2 + 3*n**2. Let p(i) = -2*a(i) - t(i). Factor p(r).
3*r*(r - 1)**2
Find a, given that -2/5*a**3 - 600*a**2 - 50000000 - 300000*a = 0.
-500
Factor 114/5*j**2 - 198/5*j + 2/5*j**4 - 26/5*j**3 + 108/5.
2*(j - 6)*(j - 3)**2*(j - 1)/5
Let m(n) = -10*n**3 - 170*n**2 + 140*n + 390. Let c(w) = w**3 - w**2 + 2*w - 2. Let i(t) = 15*c(t) + m(t). Factor i(f).
5*(f - 36)*(f - 2)*(f + 1)
Let q be 80/(-600) + 31474/30. What is m in 3*m**3 + 2 - 17 + q*m**2 - 1058*m**2 - 27*m = 0?
-1, 5
Factor 18*x - 12*x**2 - 358*x - 290*x + 9*x**2.
-3*x*(x + 210)
Let y(x) be the first derivative of x**5/5 + x**4 + x**3 + 1560. Factor y(m).
m**2*(m + 1)*(m + 3)
Let d = -30508 + 30510. Let -5/4*w**d + 1 - 2*w = 0. What is w?
-2, 2/5
Factor -163627*m - 137*m**2 - 438 - m**3 + 163040*m - 13*m**2.
-(m + 1)*(m + 3)*(m + 146)
Let b be -11*(12 + -2)/2*-4. Let -b*g**5 + 12*g**3 - 18*g**2 + 216*g**5 + 8*g**4 + 16*g - 17*g**2 + 3*g**2 = 0. What is g?
-2, 0, 1, 2
Let x be 52 - 6 - 46 - (1 + 13/(-12)). Let y(a) be the second derivative of 1/8*a**4 + 0*a**3 - 1/84*a**7 + 15*a + 0 + x*a**6 - 7/40*a**5 + 0*a**2. Factor y(t).
-t**2*(t - 3)*(t - 1)**2/2
Suppose 461 - 539 - 916 = -497*c. Find g such that 1/8*g - 1/8*g**3 + 0 - 5/8*g**4 + 5/8*g**c = 0.
-1, -1/5, 0, 1
Let y(x) be the first derivative of 180 - 19*x**2 - 36*x - 2/3*x**3. Factor y(m).
-2*(m + 1)*(m + 18)
Let l(y) = 70*y - 418. Let d be l(6). Suppose -5*h + 2*i = -18, -2*h + 3*i = -7 - 9. Factor -h*f + 22*f + 5*f**d + 20 + 0*f.
5*(f + 2)**2
Let y(u) = 3*u**2 + 1279*u + 2548. Let r(d) = 7*d**2 + 1286*d + 2547. Let o(m) = -2*r(m) + 3*y(m). Factor o(i).
-5*(i - 255)*(i + 2)
Let k(d) be the first derivative of -d**6/60 + 17*d**5/30 + 2*d**4 - 25*d**3/3 - 109. Let x(g) be the third derivative of k(g). Factor x(j).
-2*(j - 12)*(3*j + 2)
Determine t so that -635/3*t**2 + 772/3*t - 4 = 0.
2/127, 6/5
Let u = -379 - -384. Suppose 5*z = 3*p - u + 8, 5 = -5*p. Suppose z + b**2 + 2/3*b + 1/3*b**3 = 0. Calculate b.
-2, -1, 0
Let j = 2354611/327030 + 1/65406. Determine f, given that 16/5*f**4 - 162/5*f - 108/5 + 32/5*f**3 + 2/5*f**5 - j*f**2 = 0.
-3, -1, 2
Suppose 0 = 6*b - b - 645. Let u = -119 + b. Factor u - 60*y**2 - 52*y + 14*y**3 + 3 - 2*y + 7.
2*(y - 5)*(y + 1)*(7*y - 2)
Let l = 200223 - 800883/4. Determine z, given that 0 + l*z**3 + 6*z**2 + 1/4*z**4 + 4*z = 0.
-4, -1, 0
Suppose 3229*y = 3346*y - 234. Let 1/7*c**y - c + 10/7 = 0. Calculate c.
2, 5
Let w(y) be the first derivative of 3*y**5/20 + 39*y**4/16 - 51*y**3/2 - 432*y**2 + 1944*y - 2427. Suppose w(m) = 0. What is m?
-12, 2, 9
Let h = 793409/3 + -264469. Find v, given that -4418/3 - h*v**2 - 188/3*v = 0.
-47
Let -388 + 209 + 47 + 3*j**2 + 60*j = 0. Calculate j.
-22, 2
Find k such that 2743*k**2 - 351995*k + 201*k**4 + 84*k**4 - 823*k**2 - 1150*k**3 + 350875*k - 25*k**5 = 0.
0, 7/5, 2, 4
Suppose 23*u - 16 = 15*u. Find a, given that 10*a**2 + 18*a + 3130 - 18*a**3 + 12*a**u - 2*a**4 - 3150 = 0.
-10, -1, 1
Let s(y) = -9*y**2 + 3534*y - 1012671. Let i(w) = 10*w**2 - 3542*w + 1012669. Let a(f) = 6*i(f) + 7*s(f). Solve a(z) = 0.
581
Let o(q) be the third derivative of -q**5/600 - 11*q**4/80 - 18*q**3/5 - 2*q**2 - 330*q. Solve o(b) = 0 for b.
-24, -9
Let u(f) be the third derivative of f**5/100 - 9*f**4/2 + 810*f**3 - 80*f**2 - 1. Let u(z) = 0. Calculate z.
90
Let f be (5 - (-60)/(-16)) + 12/16. Let q(i) be the third derivative of 1/90*i**6 - 1/15*i**5 + 0*i**3 + 0*i - 2/9*i**4 + 0 + i**f. Factor q(p).
4*p*(p - 4)*(p + 1)/3
Let r(b) = -b**2 + 18*b - 13. Let z be r(17). Let n be (-8)/6 + 3 - (z - 3). Factor 0 + n*k**2 + 0*k.
2*k**2/3
Let b(h) be the third derivative of 289/2*h**3 + 17/4*h**4 + 1/20*h**5 - 2 - 46*h**2 + 0*h. Solve b(y) = 0.
-17
Find b such that 132 + 52/7*b - 1/7*b**2 = 0.
-14, 66
Suppose 12*m - 72 = -9 + 81. Suppose 3/5*x + m - 3/5*x**2 = 0. Calculate x.
-4, 5
Let s(f) = -f**3 - 3*f**2 + 216*f - 931. Let p(y) = 2*y**2 - y. Let m(v) = 2*p(v) - 2*s(v). Factor m(t).
2*(t - 7)**2*(t + 19)
Let l(f) = f**2 + 18*f + 67. Let c be l(-4). Let n be 8/18*c/(-33)*-18. Suppose 2 + 2/3*u**2 - n*u = 0. What is u?
1, 3
Let l(n) be the third derivative of 1/5*n**5 + 0*n + 0*n**3 + 237*n**2 + 0 + 0*n**4 - 1/420*n**6. Let l(d) = 0. What is d?
0, 42
Let f(a) be the first derivative of 5/6*a**3 + 31/10*a**5 + 39 - 11/12*a**6 + 1/2*a**2 + 0*a - 27/8*a**4. Factor f(c).
-c*(c - 1)**3*(11*c + 2)/2
Let h(n) be the third derivative of 5/336*n**8 - 3*n**2 - 25/24*n**4 - 1/7*n**7 + 0 + 1/6*n**6 - 2*n + 1/2*n**5 + 0*n**3. Factor h(r).
5*r*(r - 5)*(r - 1)**2*(r + 1)
Factor 0 + 68/5*d - 2/5*d**3 - 66/5*d**2.
-2*d*(d - 1)*(d + 34)/5
Let c(x) = 2*x**2 - 18*x + 8. Let t be c(9). Let b be (t*1/24)/(0 - -1). Factor b*d**4 + 0*d**3 + 0 - 4/3*d**2 + 0*d.
d**2*(d - 2)*(d + 2)/3
Suppose 29055*p = 29180*p - 375. Determine j, given that 69/5*j**2 - 18/5 - 3*j**4 - 21/5*j**p - 3*j = 0.
-3, -2/5, 1
Factor -3/4*a**4 + 60*a**3 + 864*a - 444*a**2 + 0.
-3*a*(a - 72)*(a - 4)**2/4
Suppose 0 = -4*f - 0*n + 5*n - 1, -4 = -3*f - n. Suppose 2*z = -3*c + 31, 2*z - f = 2*c - 15. Solve -10*i**2 - 18 + c*i**2 - 3*i + 4*i**2 = 0.
-2, 3
Let f(o) be the first derivative of o**4/28 + 26*o**3/