*c = 0.
-2/5, 0, 1
Let 115*j + 840*j**2 - 1691*j**2 + 540 + 846*j**2 = 0. What is j?
-4, 27
Let m = -1827 + 1103. Let s = m + 727. Factor l + 9/2*l**s + 7/2*l**2 + 1/2*l**5 + 5/2*l**4 + 0.
l*(l + 1)**3*(l + 2)/2
Let h(u) = -13 + 13*u + 10*u**2 - 21 + 11. Let q(n) = -3*n**2 - 5*n + 8. Let f(j) = -4*h(j) - 14*q(j). Factor f(v).
2*(v - 1)*(v + 10)
Let o(f) be the third derivative of 179*f**2 + 1/84*f**4 + 0 - 1/105*f**5 + 1/21*f**3 + 0*f. Factor o(g).
-2*(g - 1)*(2*g + 1)/7
Let u(c) be the second derivative of -85*c**4/48 + 235*c**3/24 - 65*c**2/4 + 108*c - 3. Factor u(x).
-5*(x - 2)*(17*x - 13)/4
Let -44/3*h**2 + 5/6*h**4 + 0*h + 109/3*h**3 + 0 = 0. Calculate h.
-44, 0, 2/5
Suppose 135*b + 66*b + 8*b = -24*b - 93*b. Let 0*m + 4/5*m**4 + 0 + 4*m**3 + b*m**2 = 0. What is m?
-5, 0
Determine o, given that -919681/2 - 959*o - 1/2*o**2 = 0.
-959
What is f in 30*f + 3*f**2 - 108 + 12*f**2 + 4*f**2 - 21*f**2 = 0?
6, 9
Let 10952/7*a + 0 - 27676/7*a**2 - 3/7*a**5 - 15686/7*a**3 + 439/7*a**4 = 0. What is a?
-2, 0, 1/3, 74
Let f be (0 + 2)*((-210)/4)/(-5). Let n = f - 16. Factor -4*t**2 + 6*t**4 + 21*t - 2 - 4*t**3 + 16*t - t**n - 31*t - t**5.
-2*(t - 1)**4*(t + 1)
Suppose 4*s = -5*t + 12, 2*t = s - 2*t - 3. Suppose 20*c + 2*c**2 + c + c**3 - 15*c + s*c**2 = 0. What is c?
-3, -2, 0
Let b(m) be the second derivative of -m**5/20 + 25*m**4/8 - 23*m**3 - 141*m**2 + 202*m. Let a(i) be the first derivative of b(i). Factor a(s).
-3*(s - 23)*(s - 2)
Let o(y) = -337*y - 15161. Let s be o(-45). Let 0*r**2 + s + 1/4*r**3 - 3*r = 0. Calculate r.
-4, 2
Suppose 4*z + 2*z = 102. Let m = -13 + z. Let 0*y**m + 0 - 5/3*y**3 + 5/3*y**5 + 0*y**2 + 0*y = 0. What is y?
-1, 0, 1
Let d(o) be the third derivative of o**8/2520 - 8*o**7/1575 - 14*o**6/225 - 11*o**5/45 - 89*o**4/180 - 26*o**3/45 + 2*o**2 - 50*o. Find l such that d(l) = 0.
-2, -1, 13
Let k = 65 - 37. Let t be ((-3 - -1)*-2 - -3) + 4 + -8. Determine f, given that 70*f**3 - 15*f - 15*f**5 - 10*f**2 + 30*f**2 - k*f + t*f - 5*f**4 = 0.
-2, -1, 0, 2/3, 2
Let v(a) be the first derivative of 2*a**5/5 + 3*a**4/2 - 6*a**3 - 27*a**2 - 3415. Let v(n) = 0. What is n?
-3, 0, 3
Let o = 847 - 844. Let n(q) be the second derivative of 0*q**2 + 0 + 4*q + 1/12*q**4 + 0*q**o. Let n(i) = 0. Calculate i.
0
Let q(o) be the third derivative of 1/840*o**7 - 1/40*o**6 + 1/8*o**4 + 19/240*o**5 - 93*o**2 - 5/6*o**3 + 0*o - 1. Solve q(z) = 0.
-1, 1, 2, 10
Let n(h) be the first derivative of 5*h**3/3 - 445*h**2/2 - 4950*h - 2333. Factor n(j).
5*(j - 99)*(j + 10)
Let h(x) be the first derivative of x**7/1400 - 17*x**6/600 - 19*x**3/3 + x**2/2 - 128. Let i(c) be the third derivative of h(c). Find b, given that i(b) = 0.
0, 17
Factor 316969/2 - 1/2*z**3 - 1125/2*z**2 - 315843/2*z.
-(z - 1)*(z + 563)**2/2
Factor 0 + 88/3*q + 2/3*q**3 + 2/9*q**4 - 152/9*q**2.
2*q*(q - 6)*(q - 2)*(q + 11)/9
Suppose -61*k + 232 = 10*k + 19. Factor 1/5*d**4 + 4/5*d - 7/5*d**2 + 2/5*d**k + 0.
d*(d - 1)**2*(d + 4)/5
Let i(q) = -197*q - 18515. Let x be i(-94). Factor -2/3*p**x + 0 + 0*p + 0*p**2.
-2*p**3/3
Let f(q) be the third derivative of -q**6/24 - 115*q**5/6 + 2315*q**4/24 - 580*q**3/3 + 6016*q**2. Factor f(o).
-5*(o - 1)**2*(o + 232)
Suppose 2296/13*k**2 + 1576/13*k**3 + 8/13*k**5 + 480/13*k + 290/13*k**4 + 0 = 0. What is k?
-30, -4, -2, -1/4, 0
Let d = 404240 - 2425439/6. Let 0 + 1/2*t**5 - 1/3*t - 3/2*t**2 + d*t**4 - 3/2*t**3 = 0. What is t?
-1, -1/3, 0, 2
Let u be (12 - 5100/432) + 16/64. Factor -50/9*y + 128/9*y**4 + u + 24*y**2 - 352/9*y**3.
2*(y - 2)*(4*y - 1)**3/9
Suppose 0 = 54*b + 18*b - 144. Let g = -3069 - -5200. Find k such that -2*k**b + 2131 - g = 0.
0
Let a = 63 + -51. Factor 4*g**3 + 52*g - 5 + a + 20*g**2 - 18 - 13 - 52*g**2.
4*(g - 6)*(g - 1)**2
Factor 4*w**3 - 75*w - 204*w**2 - 230*w + 97*w.
4*w*(w - 52)*(w + 1)
Let j be 28/36*6*(-12)/56*-2. Find x, given that 1/3*x**j - 5/3*x + 0 = 0.
0, 5
Let s be 44 + -46 - (3 + -2 + -7). Let w(c) = 10*c**2 + 1. Let k be w(-2). Solve z**3 - s*z**3 + k*z**5 - 38*z**5 = 0.
-1, 0, 1
Let f(u) be the second derivative of -9/4*u**2 - 1/180*u**6 - 83*u + 0 - 1/4*u**5 - 7/6*u**4 - 41/18*u**3. Factor f(o).
-(o + 1)**3*(o + 27)/6
Solve -714/5*i**2 - 3/5*i**3 + 0 - 42483/5*i = 0 for i.
-119, 0
Let m(x) be the third derivative of -x**5/12 - 25*x**4/2 - 2695*x**3/6 - 4103*x**2. Factor m(r).
-5*(r + 11)*(r + 49)
Suppose 352 = 53*t - 390. Let b(u) be the second derivative of 1/7*u**2 + 0 - 1/42*u**4 - t*u - 1/21*u**3 + 1/70*u**5. Factor b(x).
2*(x - 1)**2*(x + 1)/7
Let t(v) be the first derivative of -v**4/22 - 14*v**3/3 - 1360*v**2/11 + 9600*v/11 - 2040. Factor t(j).
-2*(j - 3)*(j + 40)**2/11
Factor 1474*j**3 - 1103/3*j**4 - 369 - 1/3*j**5 - 6638/3*j**2 + 4427/3*j.
-(j - 1)**4*(j + 1107)/3
Suppose 555*v**2 + 1444 + 1957*v + 201*v**3 + 112*v**3 + v**4 - 270*v**3 = 0. What is v?
-19, -4, -1
Let z(w) be the first derivative of w**5/135 - 13*w**4/54 + 8*w**3/9 + 27*w**2/2 - 16. Let d(j) be the second derivative of z(j). Suppose d(y) = 0. What is y?
1, 12
Let g(j) be the third derivative of j**7/210 - 19*j**6/120 + j**5 + 125*j**4/6 - 1000*j**3/3 + 3522*j**2. Determine c, given that g(c) = 0.
-5, 4, 10
Factor -299*t**2 - 868*t**2 + 5787*t**3 - 774*t - 5796*t**3.
-3*t*(t + 129)*(3*t + 2)
Let z(y) = 16*y**4 + 662*y**3 + 3252*y**2 + 256*y - 7766. Let v(q) = 6*q**4 + 221*q**3 + 1084*q**2 + 84*q - 2589. Let k(h) = 10*v(h) - 3*z(h). Solve k(w) = 0.
-9, -2, 4/3
Suppose -23*d - 28*d + 8*d = 0. Let x(g) be the third derivative of d*g + 0 - 5/3*g**3 - 5/24*g**4 + 1/12*g**5 + 2*g**2. Let x(m) = 0. What is m?
-1, 2
Let t(l) be the second derivative of -l**4/18 - 32*l**3/3 - 768*l**2 - 13*l - 65. Let t(n) = 0. Calculate n.
-48
Let m(d) be the second derivative of -d**6/70 - 12*d**5/35 - 6*d**4/7 + 160*d**3/7 - 600*d**2/7 - 236*d. Factor m(t).
-3*(t - 2)**2*(t + 10)**2/7
Let p(u) be the second derivative of -u**6/225 + u**5/3 + 391*u**4/90 + 472*u**3/45 - 304*u**2/5 - 2*u + 1221. Find c such that p(c) = 0.
-4, 1, 57
Suppose -35*y + 1292 - 508 = 21*y. Let i(d) be the third derivative of 2/3*d**4 - y*d**2 + 0*d - 3*d**3 + 1/30*d**5 + 0. What is q in i(q) = 0?
-9, 1
Let d(j) = -121*j**2 + 496*j - 5633. Let r(m) = 533*m**2 - 2231*m + 25348. Let v(z) = -22*d(z) - 5*r(z). Factor v(c).
-3*(c - 67)*(c - 14)
Let d be 505/135 + 2624/(-432) + 6. Let 1/3*p**2 - d*p + 6 = 0. What is p?
2, 9
Let d(l) be the first derivative of 2*l**2 - 5*l + 4/3*l**3 - 26 + 1/3*l**4. Let w(m) be the first derivative of d(m). Let w(g) = 0. What is g?
-1
Let h be (48*40/2560)/(4/16). Let -9/4*u**2 - 1/4*u**h - 7/2*u + 0 = 0. What is u?
-7, -2, 0
Let d(t) be the third derivative of t**6/180 + 11*t**5/90 - 23*t**4/18 - 56*t**3/9 - 17*t**2 - 11*t. Solve d(h) = 0.
-14, -1, 4
Let s = -2/8643 - -216083/34572. Factor 0 - s*d**3 + 1/4*d**4 + 25/4*d - 1/4*d**2.
d*(d - 25)*(d - 1)*(d + 1)/4
Let m = 73 + -26. Let x(o) = -o**2 + 39*o + 379. Let k be x(m). Factor -6/7*j - 15/7*j**2 - 9/7*j**k + 0.
-3*j*(j + 1)*(3*j + 2)/7
Factor -1/2*r**4 + 135 - 1/2*r**3 + 63/2*r**2 - 243/2*r.
-(r - 3)**3*(r + 10)/2
Find s, given that -5304/7 - 39772/7*s + 60/7*s**2 = 0.
-2/15, 663
Let g = -71/5 - -15. Let j(p) = -7*p**2 - 165*p + 252. Let t be j(-25). What is l in -22/5*l + g + 2*l**t = 0?
1/5, 2
Factor 36*y**2 + 0*y + 19*y**4 + 3/2*y**5 + 0 + 66*y**3.
y**2*(y + 6)**2*(3*y + 2)/2
Let k(g) be the second derivative of 2*g**7/21 + 3*g**6/5 + 6*g**5/5 + 5*g**4/6 - 5*g + 91. Factor k(v).
2*v**2*(v + 1)**2*(2*v + 5)
Suppose 0 = -2*y + 4*x - 3*x + 8, 2*x = 0. Suppose y*w = 19 - 11. Find r such that 8/9*r**w - 2/3*r + 2/3*r**3 + 0 - 8/9*r**4 = 0.
-1, 0, 3/4, 1
Suppose -40 + 171 = -s + 4*y, -8 = 2*y. Let n = 243 + s. Find t, given that -232 - n*t**2 + 13*t**4 - 64*t**3 + 15*t**4 + 168 + 256*t = 0.
-2, 2/7, 2
Let h be (-2910)/330 + 9 + 23/55. Let a(c) be the first derivative of 3/20*c**4 + 3/5*c + h*c**3 - 3 + 9/10*c**2. Factor a(i).
3*(i + 1)**3/5
Let 940/3*b + 4/3*b**2 + 1232 = 0. Calculate b.
-231, -4
Let w(n) = 3*n**2 + 2*n - 8. Let z(u) = 3*u**2 + u - 7. Let h(x) = 5*w(x) - 4*z(x). Let d(i) = 2. Suppose 4 - 10 = q. Let s(l) = q*d(l) - h(l). Factor s(y).
-3*y*(y + 2)
Let d(j) be the third derivative of 31*j**5/90 + 125*j**4/18 + 16*j**3/9 - 2195*j**2. Find q such that d(q) = 0.
-8, -2/31
Let f(s) be the sec