erivative of 0*u**3 - 1/4*u**2 - 2 + 1/24*u**4 - 23*u. Factor x(v).
(v - 1)*(v + 1)/2
Let t(h) be the second derivative of -2*h**6/15 - 41*h**5/5 - 26*h**4 - 1283*h - 2. Solve t(u) = 0 for u.
-39, -2, 0
Let d(w) be the first derivative of -w**4/28 + 4*w**3/7 - 41*w**2/14 + 6*w - 4610. Factor d(o).
-(o - 7)*(o - 3)*(o - 2)/7
Let r be (159/212)/(16/64). Solve 0*l**r + 0 + 0*l - 2/13*l**4 + 2/13*l**2 = 0 for l.
-1, 0, 1
Let n(m) = -m**3 - 1. Let p(g) = 4*g**2 - 93*g**3 + 94*g**3 + 1 + 0 + 0*g**5 + 2*g - 2*g**5 - 4*g**4. Let o(t) = n(t) + p(t). Find u such that o(u) = 0.
-1, 0, 1
Let i be (44/(-132))/(2/204). Let s be (-16)/(-6)*(-17)/i. Factor -4*k**2 - 4/3 + 4*k + s*k**3.
4*(k - 1)**3/3
Let n(r) = r**2 - r - 36. Let q be n(-6). Factor -q + 2 + 12*h**2 + 3*h - 19*h**2 + 14*h**2.
(h + 1)*(7*h - 4)
Factor -1876*i**3 - 4*i**4 - 23061230 + 1888*i**2 + 23061230 + 3760*i.
-4*i*(i - 2)*(i + 1)*(i + 470)
Suppose -12*x = 4*h - 88, -2*h = -10*x + 5*x - 11. Factor -15/8*l - 3/8*l**5 - 15/4*l**2 - 15/4*l**x - 3/8 - 15/8*l**4.
-3*(l + 1)**5/8
Let h(r) be the third derivative of 15/32*r**6 + 15625/32*r**4 + 0*r - 4*r**2 - 6 + 0*r**3 + 375/16*r**5 + 1/280*r**7. Suppose h(q) = 0. What is q?
-25, 0
Let q be 12/22 - (-3234492)/770715. Let m = q - -10/173. Factor -16/5 - 4/5*x**2 - m*x + 6/5*x**3 + 2/5*x**4.
2*(x - 2)*(x + 1)*(x + 2)**2/5
Find c such that 31/3*c**3 - 1/3*c**4 + 1760/3*c**2 + 5376*c + 0 = 0.
-16, 0, 63
Let t(g) be the second derivative of -7/12*g**4 - 3 + 0*g**2 + 1/90*g**6 + 11*g + 0*g**3 + 1/15*g**5. Find x such that t(x) = 0.
-7, 0, 3
Let w(k) be the second derivative of 0*k**2 + 26*k - 1/54*k**4 + 2/45*k**5 - 1/135*k**6 - 2/9*k**3 + 0. Suppose w(y) = 0. Calculate y.
-1, 0, 2, 3
Suppose 4*w + 114 = 3*r, 216 = 5*r - 3*w + 5*w. Let x be ((-12)/(-126))/(6/r). Factor -2/3*p**2 + 0 + x*p.
-2*p*(p - 1)/3
Let m be 4400/1680 - (-2 + (-26)/(-6)). Factor -m*c**2 - 8/7*c - 6/7.
-2*(c + 1)*(c + 3)/7
Factor 44/3*w - 15 + 1/3*w**2.
(w - 1)*(w + 45)/3
Let i(h) be the third derivative of h**5/360 - 119*h**4/144 + 59*h**3/18 - 456*h**2. Factor i(o).
(o - 118)*(o - 1)/6
Let x = -23 + 23. Suppose 7*r - 17*r + 20 = x. Find c, given that 8*c**5 + c - 8*c**4 - 5*c + 4*c**5 - 885*c**r - 40*c**3 - 8 + 933*c**2 = 0.
-2, -1/3, 1
Factor 48*a - 36*a**3 - 4*a**2 + 2*a**4 - 8*a**2 + 3*a**5 - 4*a**4 - 4*a**4 + 3*a**4.
3*a*(a - 4)*(a - 1)*(a + 2)**2
Let f(a) be the second derivative of 4*a**6/15 - 39*a**5/20 - 23*a**4/4 + 44*a**3/3 + 6*a**2 + 379*a - 4. Let f(v) = 0. What is v?
-2, -1/8, 1, 6
Suppose -429 = -38*j + 65. Suppose 0 = -0*k - 4*k - z + j, -3*k - 4*z = -26. Factor s**3 + 0*s + 1/2*s**4 + 1/2*s**k + 0.
s**2*(s + 1)**2/2
Determine q, given that 4/5*q**2 - 56*q - 576/5 = 0.
-2, 72
Suppose 12*c + 3 = -21. Let w be (46/(-161))/(c/56). Let -12 - q - 1 - 3*q + 1 + w*q**2 = 0. What is q?
-1, 3/2
Let z(s) be the first derivative of -21/8*s**4 - 15*s**2 - 61/3*s**3 + 49/10*s**5 - 4*s + 44. Factor z(m).
(m - 2)*(m + 1)*(7*m + 2)**2/2
Factor -2*m**2 - 3*m**2 - 431*m - 154*m - 120*m.
-5*m*(m + 141)
Let r be (-81)/18*(1 - 21/9). Determine i, given that 144*i**3 - 288*i**3 - 2*i**5 + 142*i**3 - 6*i**4 + r*i**2 + 4*i = 0.
-2, -1, 0, 1
Let u(p) be the first derivative of -17/4*p**2 - 1/12*p**3 - 289/4*p - 31. Factor u(d).
-(d + 17)**2/4
Let -3*l**2 - 526 - 1409 - 2176 - 4548*l + 1146*l + 712 = 0. What is l?
-1133, -1
Find s such that s**4 + 12*s**3 + 157244 + 2*s**4 + 3*s**5 + 21*s**4 - 15*s - 66*s**2 - 157202 = 0.
-7, -2, -1, 1
Let w(g) be the third derivative of g**6/900 - g**5/150 + 9*g**3/2 - 2*g**2 - 25*g. Let r(s) be the first derivative of w(s). Let r(k) = 0. Calculate k.
0, 2
Let w = 10334306/9 - 1148256. Factor -52/9*p**2 - w*p**4 + 22/9*p**3 + 0 + 32/9*p.
-2*p*(p - 8)*(p - 2)*(p - 1)/9
Let u(f) be the second derivative of -3*f**6/65 + 23*f**5/65 - 5*f**4/78 + 20*f + 37. Factor u(a).
-2*a**2*(a - 5)*(9*a - 1)/13
Let a(o) be the third derivative of o**6/120 + 11*o**5/20 + 14*o**4 + 544*o**3/3 - o**2 + 449*o + 2. Suppose a(l) = 0. Calculate l.
-17, -8
Let m be ((-40)/48*1)/((-1)/(6 - -3)). Factor m*v**2 + 13/2 - 27/2*v - 1/2*v**3.
-(v - 13)*(v - 1)**2/2
Suppose -21*y - 7 - 6 = -13. Let w(u) be the third derivative of y - 3*u**3 + 0*u - 1/30*u**5 - 1/2*u**4 + 11*u**2. Factor w(h).
-2*(h + 3)**2
Let i(k) = 97*k**2 - 207*k + 1140. Let r(z) = 58*z**2 - 104*z + 570. Let d(w) = 3*i(w) - 5*r(w). Factor d(t).
(t - 95)*(t - 6)
Let r(j) = -j**2 + 6*j + 29. Let k be r(9). Let o(a) = -16*a**2 + 4*a. Let h(b) = -b**2. Let i(d) = k*o(d) - 36*h(d). Factor i(n).
4*n*(n + 2)
Let y(r) = r**2 - 954*r - 62990. Let l be y(-62). Factor 3/5*h**3 - 15 - 81/5*h**l + 153/5*h.
3*(h - 25)*(h - 1)**2/5
Factor 10*k - 119*k**2 + 3*k**3 + 192 - 391*k + 305*k**2.
3*(k - 1)**2*(k + 64)
Let k(u) = -241 + 241 + 3*u**2. Let r be k(1). Determine g, given that -2 + g**5 + 4*g**r - 19*g + 6*g**4 + g**5 - 4*g**2 + 13*g = 0.
-1, 1
Factor 130/23 + 94/23*k - 8/23*k**2.
-2*(k - 13)*(4*k + 5)/23
Let m be ((-3)/65)/(11736/(-101712)). Suppose m*u**2 - 2*u + 0 = 0. What is u?
0, 5
Factor -162*h + 50 + 340 + 547*h - 369*h**2 + 364*h**2.
-5*(h - 78)*(h + 1)
Suppose -5*d = r - 7*d - 24, -5*r + 96 = -2*d. Factor -3*b**4 + 0*b**5 + 30*b**2 + 20*b + r*b**3 - 3*b**5 - 6*b**4 + 27 - 22*b - 61*b.
-3*(b - 1)**3*(b + 3)**2
Let f = 1184167/1539434 - -1/118418. Determine t so that 12/13*t + 0 - 10/13*t**3 - 2/13*t**5 - 10/13*t**4 + f*t**2 = 0.
-3, -2, -1, 0, 1
Let i(p) be the first derivative of p**8/1680 - 13*p**7/840 + 2*p**6/15 - 3*p**5/10 + 2*p**3 + p**2 + 44. Let w(o) be the third derivative of i(o). Factor w(u).
u*(u - 6)**2*(u - 1)
Factor -78/7*q**2 + 78/7 - 1/7*q + 1/7*q**3.
(q - 78)*(q - 1)*(q + 1)/7
Let j(p) = -2*p**3 - p**2 - 3*p + 1. Let o(y) = -45*y**3 + 475*y**2 - 330*y - 125. Let m(g) = -5*j(g) + o(g). Factor m(t).
-5*(t - 13)*(t - 1)*(7*t + 2)
Let y = 14 + 19. Let j = -30 + y. Factor 4*r**4 - 12*r**j + 7*r - 11*r + 10*r**2 + 2*r**2.
4*r*(r - 1)**3
Factor -423/5*m - 33/5 + 78/5*m**2.
3*(2*m - 11)*(13*m + 1)/5
Let l = -243 - -245. Solve -17*f - 72 - 47*f**l - 205*f - 15*f**3 - 64*f**2 = 0 for f.
-4, -3, -2/5
Let t be (-9)/2*41*145/87. Let g = t + 308. Determine y, given that 1/2*y**3 + 0 + 0*y + g*y**4 - 1/2*y**5 - 1/2*y**2 = 0.
-1, 0, 1
Let c(o) = -10*o**3 + 770*o**2 + 1430*o + 15. Let h(d) = -3*d**3 + 193*d**2 + 358*d + 4. Let p(x) = 4*c(x) - 15*h(x). Factor p(f).
5*f*(f + 2)*(f + 35)
Let t(u) be the second derivative of -u**5/50 - 19*u**4/15 - 256*u**3/15 - 96*u**2 + u + 418. Factor t(a).
-2*(a + 4)**2*(a + 30)/5
Suppose 0 = a - 16 - 15. Suppose -2*d - 23 + a = 0. Factor 3 + 2*b**d - 2*b**2 + 2*b**5 + 0*b**5 - 3 - 2*b**3.
2*b**2*(b - 1)*(b + 1)**2
Let -1/6*d**4 - 5/2*d**3 - 32/3 - 20*d - 35/3*d**2 = 0. Calculate d.
-8, -4, -2, -1
Suppose -7*i + 26 = -3*i + 3*z, -5*i + z + 42 = 0. Let c be (-108)/(-24)*i/12. Factor 2/7*l - 2 + 2*l**2 - 2/7*l**c.
-2*(l - 7)*(l - 1)*(l + 1)/7
Let p = 164207/12166 + 17/6083. Determine f, given that 45/4*f + p - 3/4*f**3 - 3*f**2 = 0.
-6, -1, 3
Let y(r) be the second derivative of -r**9/5040 + 3*r**8/2240 - r**7/420 + 7*r**4/4 - 12*r - 1. Let t(z) be the third derivative of y(z). Factor t(u).
-3*u**2*(u - 2)*(u - 1)
Suppose -5*q - t + 115 = 0, -3*q - 6*t + 18 + 24 = 0. Factor 338/9*r**3 + 260/3*r**2 + q*r + 16/9.
2*(r + 2)*(13*r + 2)**2/9
Let l be (-22 - 5026/14)*(-7)/3. Let p = -885 + l. Find d, given that 2/7*d**p - 12/7*d**3 - 2/7*d**2 + 12/7*d + 0 = 0.
-1, 0, 1, 6
Let h(r) be the third derivative of -r**5/20 + 35*r**4/12 - 361*r**3/6 - 3*r**2 - 4*r. Let s(j) = -3*j**2 + 72*j - 360. Let m(d) = 3*h(d) - 2*s(d). Factor m(f).
-3*(f - 11)**2
Let j(i) be the first derivative of -30 - 4/3*i**3 + 1/4*i**4 + 18*i - 15/2*i**2. Factor j(f).
(f - 6)*(f - 1)*(f + 3)
Let h(o) be the third derivative of o**6/120 - 3*o**5/20 + 5*o**4/6 - 2*o**3 + 605*o**2 + 4*o. Suppose h(b) = 0. What is b?
1, 2, 6
Let i = 38 + -20. Let q = 307 - 302. Find k, given that 22*k**2 - i*k**3 + 56*k - 10*k**5 + 11 + 6*k**2 - 28*k**3 - 44*k**4 + q = 0.
-2, -1, -2/5, 1
Let -40/9*l - 2/9*l**2 + 0 = 0. What is l?
-20, 0
Solve -10/3*b**2 + 1/3*b**3 - 7*b + 90 = 0 for b.
-5, 6, 9
Let m(t) be the second derivative of 2/45*t**6 + 1/6*t**4 + 1/6*t**5 + 0 - 1/9*t**3 + 16*t**2 - 4*t. Let f(r) be the first derivative of m(r). Factor 