= -54*x + 58*x. Factor -x*q - 153*q**2 + 3*q**3 + 168*q**2 + 7*q**3 - 4*q.
5*q*(q + 2)*(2*q - 1)
Let t be 45/(-975) - 2/(-10). Let i(y) be the first derivative of -11 - t*y**2 + 0*y - 2/13*y**3 - 1/26*y**4. Let i(m) = 0. Calculate m.
-2, -1, 0
Let h = -242130 - -1210678/5. Factor -h + 6*w - 2/5*w**2.
-2*(w - 14)*(w - 1)/5
Let x(c) be the second derivative of c**5/60 - 11*c**4/18 - 23*c + 2. Find h such that x(h) = 0.
0, 22
Determine y so that -42520*y + 4*y**3 + 6*y**2 - 36 + 42532*y + 14*y**2 = 0.
-3, 1
Let n = 9082 + -27245/3. Let g = -23 + 26. Suppose m**2 + 1/3*m**g + m + n = 0. What is m?
-1
Solve -283*u + 8*u**2 + 188 - 37*u**2 + 12*u**2 + 19*u**2 + 93*u = 0.
1, 94
Let k(o) be the second derivative of -1/70*o**5 + 1/14*o**4 - 4/7*o**2 + 72*o + 0*o**3 + 1. Factor k(g).
-2*(g - 2)**2*(g + 1)/7
Let j(w) be the first derivative of -3*w**4/14 - 62*w**3/21 - 10*w**2/7 + 7709. Let j(h) = 0. Calculate h.
-10, -1/3, 0
Let h(a) be the first derivative of 1/120*a**6 - 1/30*a**5 - 1/24*a**4 + 7 - 9*a**2 + 0*a + 1/3*a**3. Let s(r) be the second derivative of h(r). Factor s(v).
(v - 2)*(v - 1)*(v + 1)
Let l(h) be the second derivative of -2*h**7/147 - 52*h**6/105 - 24*h**5/35 + 26*h**4/21 + 50*h**3/21 - 2*h + 1167. What is f in l(f) = 0?
-25, -1, 0, 1
Let x(q) be the third derivative of -9*q**8/112 + 141*q**7/70 - 643*q**6/40 + 559*q**5/20 + 169*q**4 - 1423*q**2 - 2. Let x(d) = 0. Calculate d.
-1, 0, 13/3, 8
Let m be (265/(-90) - 24/(-54))*346. Let l = m + 868. Factor -8/7*z - 10/7*z**l - 2/7*z**4 + 0 - 16/7*z**2.
-2*z*(z + 1)*(z + 2)**2/7
Factor 1/8*i**2 - 81/8*i + 77/2.
(i - 77)*(i - 4)/8
Let j be 30/6 + 15/3. Suppose 0 = 2*z + j, -7*n = -2*n + 3*z + 5. Suppose -3*y**n - 93*y + 3*y**5 - 9*y**4 + 186*y + 9*y**3 - 93*y = 0. What is y?
0, 1
Let p(h) = -h**3 + 3*h**2 + 8*h - 16. Suppose -44 = 47*w - 232. Let y be p(w). Determine r so that 20/3*r**3 + y + 32/3*r**2 + 16/3*r + 4/3*r**4 = 0.
-2, -1, 0
Let a(c) be the second derivative of -c**5/80 + c**4/2 + 187*c**3/24 - 105*c**2/4 - 5160*c. Find r such that a(r) = 0.
-7, 1, 30
Let c = -24/73 + 218/219. Let z(r) be the third derivative of 0 + 1/6*r**6 - 8/15*r**5 + 0*r**3 - 2/105*r**7 + c*r**4 + 17*r**2 + 0*r. Factor z(b).
-4*b*(b - 2)**2*(b - 1)
Let l(n) = n**5 - 3*n**4 + n**2 + n. Let d(a) = a**5 - 5*a**4 + 2*a**3 + 2*a**2 + 2*a. Let v(x) = d(x) - 2*l(x). Factor v(c).
-c**3*(c - 2)*(c + 1)
Let r = -233 + 246. Suppose -r = -9*t + 14. What is j in 0*j + 0 + 2/7*j**t - 4/7*j**2 = 0?
0, 2
Determine m so that -3/7*m**4 + 243/7*m**2 - 240/7 - 237/7*m + 237/7*m**3 = 0.
-1, 1, 80
Let p(x) be the first derivative of -x**5/12 + 5*x**4/6 - 10*x**3/3 + x**2/2 + 4*x - 20. Let g(n) be the second derivative of p(n). Let g(q) = 0. Calculate q.
2
Let z(p) be the third derivative of -4*p**5/105 - 67*p**4/84 - 45*p**3/7 + 4*p**2 + 4*p + 29. Factor z(d).
-2*(d + 5)*(8*d + 27)/7
Determine u so that -3811*u**2 + u**4 - 240*u**3 - 472392*u + 10888*u**2 + 4177*u**2 + 7700*u**2 - 1594323 = 0.
-3, 81
Let u(s) = 221*s - 36684. Let m be u(166). Factor 7*p - m*p**2 + 1/7*p**3 + 0.
p*(p - 7)**2/7
Determine m, given that 52*m**2 - 43*m + 14*m**3 + 48 + 18*m - 68*m - 85*m - 6*m = 0.
-6, 2/7, 2
Let z be (2 + (-168)/75)/(12/(-920)). Let q be 536/14 - 4288/1876. Factor 162/5*u + 22/5*u**4 + 2/5*u**5 + q*u**2 + 54/5 + z*u**3.
2*(u + 1)**2*(u + 3)**3/5
Let u be 497/196 + 5 + -6. Let b = u - 1/28. Factor 3*o + 3/2*o**2 + b.
3*(o + 1)**2/2
Let l(t) be the first derivative of t**6 + 0*t + 9/4*t**2 - 19/2*t**3 - 63/10*t**5 - 96 + 99/8*t**4. Suppose l(d) = 0. Calculate d.
0, 1/4, 1, 3
Let v(m) = -4*m - 18. Let g be v(-5). Suppose 26 = g*o - 64. Factor 10*i**2 + 8 - 16*i + 19*i**3 + 24*i**3 - o*i**3.
-2*(i - 2)**2*(i - 1)
Suppose -54 = 14*v - 40. Let q(w) = w**2 + w + 3. Let n(i) = 4*i**2 - 28*i - 17. Let y(o) = v*n(o) + 5*q(o). Solve y(s) = 0 for s.
-32, -1
Let d = -14626 + 14626. Let s(b) be the second derivative of 0*b**3 + d*b**2 + 0*b**4 - 26*b - 1/255*b**6 + 0 + 2/85*b**5. Let s(w) = 0. Calculate w.
0, 4
Suppose -5*x + 10 = -3*m, -3*x - 17*m + 6 = -22*m. Suppose -5*k**4 - 120*k - 86*k**2 - 20*k**2 - 195*k**3 + 135*k**3 - 69*k**x = 0. What is k?
-8, -3, -1, 0
Let c(w) be the third derivative of w**9/6300 + w**8/2240 - w**7/700 - w**4/12 + w**3/3 + w**2 + 4. Let a(b) be the second derivative of c(b). Factor a(l).
3*l**2*(l + 2)*(4*l - 3)/5
Let v(o) be the first derivative of 2*o**4/3 - 118*o**3/3 - 319*o**2/3 - 92*o - 3086. Find b, given that v(b) = 0.
-1, -3/4, 46
Let x(y) be the third derivative of -y**8/560 + 2*y**7/175 - y**6/200 - 7*y**5/50 + y**4/2 - 4*y**3/5 - 217*y**2 - 2*y. Determine t so that x(t) = 0.
-2, 1, 2
Let i(j) be the third derivative of -j**5/360 - j**4 - 47*j**3/4 - 256*j**2 + 2*j. Factor i(d).
-(d + 3)*(d + 141)/6
Let j(o) = -9*o**4 + 357*o**3 - 3564*o**2 + 7248*o + 11083. Let c(r) = -4*r**4 + 178*r**3 - 1774*r**2 + 3624*r + 5542. Let q(n) = 5*c(n) - 2*j(n). Factor q(f).
-2*(f - 77)*(f - 6)**2*(f + 1)
Suppose 0 = -4*t + 8*t - 32. Let m be 34/(-51)*(1 - -2) - -18. Factor 4*c - m*c - 8*c**2 + 12*c**2 - t*c.
4*c*(c - 5)
Let t(f) = -15*f**2 - 70*f - 100. Let w be 108/(-162)*(-1 + 13/(-2)). Let v(o) = -7*o**2 - 35*o - 50. Let c(i) = w*v(i) - 2*t(i). Let c(g) = 0. What is g?
-5, -2
Suppose 183/4 - 1/4*i**2 + 91/2*i = 0. Calculate i.
-1, 183
Suppose 224/3*b - 4*b**5 - 115/3*b**4 - 68*b**2 - 332/3*b**3 + 64/3 = 0. What is b?
-4, -2, -1/4, 2/3
Let t(i) = 1. Let o(g) = g**2 + 17*g - 50. Let a(k) = -o(k) - 12*t(k). Factor a(w).
-(w - 2)*(w + 19)
Factor -2/3*s**2 - 5005448/3 + 6328/3*s.
-2*(s - 1582)**2/3
Let p(w) be the first derivative of w**4/12 + 67*w**3/9 - 3350. Determine u, given that p(u) = 0.
-67, 0
Factor 72*x**3 + 2/3*x**4 + 2916*x**2 + 52488*x + 354294.
2*(x + 27)**4/3
Let k be (48/3000*25)/(-1 - 13/(-5)). Let n(w) be the first derivative of 0*w**3 + 0*w**5 - k*w**4 + 0*w + 0*w**2 + 1/6*w**6 - 30. Determine d so that n(d) = 0.
-1, 0, 1
Let g be (41151/6842 + -6)*(-4)/6. Let s = g + 5915/622. Find b, given that -16*b**2 - s*b - 3/2 - 8*b**3 = 0.
-1, -3/4, -1/4
Let y(j) be the third derivative of 1/60*j**5 - 1/240*j**6 + 0 - 96*j**2 + 0*j**3 + 0*j**4 + 0*j - 1/210*j**7 + 1/672*j**8. Suppose y(o) = 0. What is o?
-1, 0, 1, 2
Factor -3617 + 10*z**2 + 3698 + 2*z**3 + 35*z**2 - 6*z**2 - 117*z - 5*z**3.
-3*(z - 9)*(z - 3)*(z - 1)
Suppose -2*i + 31 = 2*j + 3*i, -4*i + 35 = 5*j. Suppose -8*h - j*h = -22. Factor -290 + 290 + 5*d**h - 5*d**3.
-5*d**2*(d - 1)
Let f = 3732 + -3732. Let m(u) be the second derivative of 0*u**2 - 1/18*u**4 + f - 24*u - 1/3*u**3. Factor m(d).
-2*d*(d + 3)/3
Let m(w) = -627*w**3 + 2508*w**2 - 3750*w + 1431. Let v(c) = 48*c**3 - 193*c**2 + 288*c - 110. Let n(g) = 2*m(g) + 27*v(g). Find s, given that n(s) = 0.
9/14, 2
Let v(k) = 2*k**2 - 2*k - 35. Let x be v(5). Let w(l) = 56*l**2 - 49*l + 15. Let j(o) = -56*o**2 + 48*o - 16. Let h(n) = x*j(n) + 6*w(n). Factor h(y).
2*(4*y - 1)*(7*y - 5)
Determine n, given that 8*n - 93/4*n**2 + 3 + 33/4*n**3 - 9/4*n**5 + 25/4*n**4 = 0.
-2, -2/9, 1, 3
Let c = -516323/5 + 103266. Factor 6/5 + c*f + 1/5*f**2.
(f + 1)*(f + 6)/5
Suppose -192 + 405 = 13*l + 187. Factor 0*p**l - 4/19*p + 4/19*p**3 + 2/19 - 2/19*p**4.
-2*(p - 1)**3*(p + 1)/19
Let d(o) = 1248*o + 173474. Let f be d(-139). Factor -1/3*g**3 + 4/3*g - 1/3*g**f + 4/3.
-(g - 2)*(g + 1)*(g + 2)/3
Let n(m) be the second derivative of -m**4/48 + 167*m**3/4 - 251001*m**2/8 + 171*m - 6. Find p, given that n(p) = 0.
501
Suppose -s + 3*r + 8 = 4*r, 4*r - 17 = s. Suppose -10*d + 320 = -0*d. Find m such that 8*m**4 - d*m**2 - 4*m**3 - 16*m + 7*m**5 - 3*m**5 - 8*m**s = 0.
-2, -1, 0, 2
Let j be (245/(-6))/(-5) + -398 + 390. Let o(k) be the second derivative of -j*k**4 + 1/6*k**3 + k**2 - 1/20*k**5 - 5*k + 0. What is l in o(l) = 0?
-2, -1, 1
Let r = -147533/5 - -29509. Suppose -18/5 + r*z - 2/5*z**2 = 0. Calculate z.
3
Let h(u) be the second derivative of u**4/78 + 6004*u**3/39 + 9012004*u**2/13 - 631*u + 6. Factor h(g).
2*(g + 3002)**2/13
Let c be (-45)/30*36/(-2). Suppose 3*q - 10 = 8*q, -4*p + 26 = 3*q. Solve -p*y**2 - 21*y - 3 - 30*y**2 - c*y**3 - 7*y**2 = 0.
-1, -1/3
Let v(u) be the first derivative of -5/3*u**3 - 8 - 25*u**2 + 0*u. Let v(y) = 0. Calculate y.
-10, 0
Let c = 105 - 103. Determine h so that 183*h**2 - 12*h - 