- 1/4*d**3 + 3*d**2 + 40*d.
-d*(d - 20)*(d + 8)/4
Suppose 119*u - 202*u - 187*u = 71*u. Suppose 0 + 2/25*a**5 + u*a - 16/25*a**2 + 6/25*a**4 - 12/25*a**3 = 0. Calculate a.
-4, -1, 0, 2
Suppose 59*g = 58*g + 2. Factor 3*m**2 - 10*m**4 - 15*m**2 + 15*m**3 + 7*m**g.
-5*m**2*(m - 1)*(2*m - 1)
Let w(k) = -2*k**4 - 106*k**3 - 1334*k**2 + 5506*k + 6676. Let r(p) = -p**3 + 2*p**2 + p + 13. Let i(o) = -4*r(o) - w(o). What is d in i(d) = 0?
-29, -1, 4
Let k(p) be the first derivative of 2*p**3/9 - 17*p**2/3 - 12*p - 720. Factor k(v).
2*(v - 18)*(v + 1)/3
Let f be 38*1 + 5*12/(-30). Suppose -4*q - 5*u = 4, 3*q + 2*q - 4*u - f = 0. Factor -277*h + 32*h + 315*h**2 - 135*h**4 + 140*h**q + 12*h**3 - 87*h**3.
5*h*(h - 7)**2*(h - 1)
Let y(u) be the second derivative of 16*u**4/15 - 223*u**3/15 - 7*u**2/5 - 1347*u. Solve y(f) = 0.
-1/32, 7
Factor 288*l**2 + 5*l**2 + 232*l - 9*l**2 + 245*l**3 + 56*l**2 - 4*l**4 - 141*l**3.
-4*l*(l - 29)*(l + 1)*(l + 2)
Find d, given that 0*d - 155/2*d**3 - 3/4*d**5 + 0 - 22*d**2 - 139/4*d**4 = 0.
-44, -2, -1/3, 0
Let 1854/7*k**2 + 24/7*k + 0 - 465/7*k**3 = 0. Calculate k.
-2/155, 0, 4
Factor -119*l**2 + 527*l**2 - 3*l**3 + 811*l + 199*l - 182*l.
-3*l*(l - 138)*(l + 2)
Let z(s) be the third derivative of 1/60*s**6 - 1/15*s**5 + 4*s + s**2 + 0*s**3 + 0 + 0*s**4. Factor z(g).
2*g**2*(g - 2)
Let m(j) = -j**4 + 2*j**3 + 92*j**2 + 220*j + 84. Let q(s) = -3*s**4 + 7*s**3 + 277*s**2 + 661*s + 231. Let y(x) = -11*m(x) + 4*q(x). Factor y(l).
-l*(l - 14)*(l + 4)**2
Factor 1989/7 + 3306/7*o - 15/7*o**2.
-3*(o - 221)*(5*o + 3)/7
Factor 6/5*x**4 + 2/5*x**5 + 0 - 18/5*x**3 + 2*x**2 + 0*x.
2*x**2*(x - 1)**2*(x + 5)/5
Let h(l) be the first derivative of -2*l**4 - 130*l**3/3 - 76*l**2 - 30*l + 1081. Factor h(t).
-2*(t + 1)*(t + 15)*(4*t + 1)
Let y = 64067 + -64065. Suppose l**3 + 17/3*l - 5*l**y + 1/3*l**4 - 2 = 0. Calculate l.
-6, 1
Let l be 808/80 - (-116)/(-1160). Determine u, given that -1/4*u**4 - 33/4*u**2 + 5/2*u**3 - 4 + l*u = 0.
1, 4
Suppose -32*g + 80 = -37*g. Let k be 48/26 + g/(-104). Factor 0 - 2/5*u**k + 4/5*u.
-2*u*(u - 2)/5
Suppose -4*i + 3*g + 191 = 0, 3*i + 25 - 163 = 4*g. Factor 24*v**2 - 24*v**2 + 0*v**3 + 5*v**3 - i*v**2.
5*v**2*(v - 10)
Let y = 6 + -18. Let s be (-3 + 4)/((-6)/y). Find u such that 6*u**5 + 6*u**4 - 3*u**s + 11*u**4 + 6*u**3 - 6*u**4 + 4*u**2 = 0.
-1, -1/2, -1/3, 0
Let m(v) be the second derivative of v**6/270 - 23*v**5/180 + 31*v**4/36 + 455*v**3/54 + 169*v**2/9 + 3157*v. Factor m(d).
(d - 13)**2*(d + 1)*(d + 2)/9
Let i(w) be the second derivative of w**5/20 - 7*w**4/3 + 70*w**3/3 + 200*w**2 + w - 920. Let i(a) = 0. Calculate a.
-2, 10, 20
Suppose 2*j - 36 = 4*i, j + 2*j + 2 = -2*i. Let p(r) = -r**3 - 7*r**2 + r + 12. Let x be p(i). What is w in -w**3 + x*w - 3*w**3 - w**3 = 0?
-1, 0, 1
Let t be -5 - (-3 - 13 - 2). Let f be t/(-5) - (-6 - -1). Find j such that 0*j**2 + 0 - 18/5*j**3 - 2/5*j**5 + 0*j + f*j**4 = 0.
0, 3
Suppose -q - 2 = -6. Let d be -18 + 16 + -10 - (-475)/38. Factor 0 + 0*y**3 + 1/2*y - y**2 + y**q - d*y**5.
-y*(y - 1)**3*(y + 1)/2
Suppose 16252*t**2 + 3467*t**4 - 4952*t + 368 - 6322*t**3 - 7243*t**4 + 3470*t**4 = 0. Calculate t.
-23, 2/17, 2/9, 2
Suppose 6*u**2 + 6*u**4 - 569309*u + 569309*u + 2*u**5 + 50*u**2 - 48*u**3 = 0. Calculate u.
-7, 0, 2
Suppose 2/5*g**2 + 2312/5*g + 668168/5 = 0. What is g?
-578
Let d be (-48)/(-30)*(-455)/(-210)*18. Determine k so that -178/5*k**4 + 0 + 14/5*k**5 - d*k**2 + 124*k**3 - 144/5*k = 0.
-2/7, 0, 1, 6
Let f(i) = 22 - i**3 - 7 - i**2 + 2*i - 2*i**2 + 2*i. Let p be f(-3). Factor 9*y**2 + 2 + 10*y**2 + 5*y**3 + p*y**4 - 18*y**3 - 11*y.
(y - 2)*(y - 1)**2*(3*y - 1)
Factor -24*n**2 - 58/7 + 52/7*n**3 + 172/7*n + 2/7*n**4.
2*(n - 1)**3*(n + 29)/7
Let j = 885 + -893. Let n be (-377)/78 - (3 + j). Find o such that -n*o**2 - 1/2*o - 1/3 = 0.
-2, -1
Factor -996/13 - 38*v + 2/13*v**2.
2*(v - 249)*(v + 2)/13
Suppose 15*s + 3150 = 3210. Let w(l) be the first derivative of 0*l + 2 + 1/6*l**6 + 15/4*l**s + 0*l**2 - 3*l**3 - 7/5*l**5. Find d, given that w(d) = 0.
0, 1, 3
Let y = -144/53 - -1402/477. Factor -16/9*n + y*n**2 + 14/9.
2*(n - 7)*(n - 1)/9
Suppose -10*c - h - 4 = 0, 4*c - 13 = h - 9. Factor c - 1/2*u**3 + 1/2*u**4 - 1/2*u**2 + 1/2*u.
u*(u - 1)**2*(u + 1)/2
Factor -20/9 + 8/9*s**2 - 1/9*s**3 - 11/9*s.
-(s - 5)*(s - 4)*(s + 1)/9
Let l(h) be the second derivative of -h**6/15 - h**5/10 + 11*h**4/2 - 59*h**3/3 + 28*h**2 + 2*h + 269. Let l(i) = 0. What is i?
-7, 1, 4
Factor 3616/9 - 1840/9*q - 2/9*q**3 + 242/9*q**2.
-2*(q - 113)*(q - 4)**2/9
Suppose 0 - 1/2*u - 1473/4*u**2 = 0. Calculate u.
-2/1473, 0
Let p(n) be the second derivative of -n**5/20 + 25*n**4/12 + 56*n**3/3 + 58*n**2 - 781*n. Factor p(u).
-(u - 29)*(u + 2)**2
Suppose -40 = -2*q - 5*v + 8*v, 0 = -q + 3*v + 26. Suppose -24*n**3 + 4*n**4 + 202*n**2 - 36*n**3 - 2592 + 432*n + q*n**2 = 0. Calculate n.
-3, 6
Let a(k) = 4*k - 1. Let l(h) = 27*h**2 + 27*h - 33. Let j(b) = 15*a(b) - l(b). Let y(d) = 55*d**2 - 66*d - 36. Let m(w) = -13*j(w) - 6*y(w). Factor m(t).
3*(t - 2)*(7*t + 3)
Let k(t) be the second derivative of -t**6/15 + t**5 + 7*t**4/6 - 76*t**3/3 + 60*t**2 + 514*t. Find q such that k(q) = 0.
-3, 1, 2, 10
Let g(z) be the second derivative of -2/9*z**4 + 1/6*z**5 + 0*z**3 - 255*z + 0 - 1/45*z**6 + 0*z**2. Factor g(l).
-2*l**2*(l - 4)*(l - 1)/3
Factor 2430 - 618*i**3 + 1782*i**2 + 435*i**3 + 651*i**3 + 3*i**5 + 60*i**4 + 3321*i.
3*(i + 3)**3*(i + 5)*(i + 6)
Let f(s) be the second derivative of -s**7/63 + 19*s**6/45 - 19*s**5/5 + 112*s**4/9 - 128*s**3/9 - s - 261. Find j such that f(j) = 0.
0, 1, 2, 8
Let z be (-114)/(-22) - (7/(-28))/((-23)/(-276)). Factor -6/11*w**2 + z*w + 96/11.
-6*(w - 16)*(w + 1)/11
Let v = 44189/4 + -10994. Let p = v - 53. Factor -p + 0*w + 1/4*w**2.
(w - 1)*(w + 1)/4
Let r(j) be the first derivative of 15/2*j**6 + 60*j**2 + 24 - 145/4*j**4 - 3*j**5 - 80*j + 25*j**3. What is w in r(w) = 0?
-4/3, 1
Factor 179/3*d**2 + 0 - 91/3*d**3 - 89/3*d + 1/3*d**4.
d*(d - 89)*(d - 1)**2/3
Let b(m) = 3*m**2 + 286*m - 2349. Let q(l) = -5*l**2 - 430*l + 3535. Let d(s) = 7*b(s) + 5*q(s). What is y in d(y) = 0?
-44, 7
Let v(b) be the first derivative of b**4/12 - 41*b**3/9 + 140*b**2/3 - 176*b + 1779. What is t in v(t) = 0?
4, 33
Let h = -61803 - -61803. Factor -2/9*i**2 + h + 4/9*i.
-2*i*(i - 2)/9
Let s(z) be the first derivative of -4*z**5/5 + 7*z**4 - 20*z**3 + 18*z**2 + 3963. Factor s(p).
-4*p*(p - 3)**2*(p - 1)
Let f(y) be the second derivative of 95*y + 2/3*y**3 + 1/60*y**6 + 0 - 1/4*y**4 + 0*y**5 - 3/4*y**2. Factor f(q).
(q - 1)**3*(q + 3)/2
Let z(f) be the second derivative of -1/2*f**4 - 1/40*f**5 + 49/2*f**2 - 7/4*f**3 - 4 + 10*f. Suppose z(l) = 0. What is l?
-7, 2
Let k(t) = -t. Let w(n) = 20*n**2 + 40*n - 4. Let s(d) = -4*d**3 + 11*d**2 - 18*d. Let u be s(2). Let o(b) = u*k(b) - w(b). Factor o(m).
-4*(m + 1)*(5*m - 1)
Let u(x) be the first derivative of x**7/210 - x**6/18 + 7*x**5/30 - x**4/2 - 2*x**3/3 - 35*x**2/2 - 37. Let o(p) be the third derivative of u(p). Factor o(l).
4*(l - 3)*(l - 1)**2
Suppose -2/7*f**2 + 192/7 + 20/7*f = 0. What is f?
-6, 16
Factor 50/9 + 572/9*u**2 + 320/9*u + 64/3*u**3 + 2*u**4.
2*(u + 5)**2*(3*u + 1)**2/9
Solve -441/2*j**2 - 189/2*j - 27/2 - 343/2*j**3 = 0 for j.
-3/7
Let x(l) be the third derivative of 2*l**7/315 - 13*l**6/90 + 32*l**5/45 + 26*l**4/9 - 32*l**3 + 141*l**2 + 2*l. Let x(k) = 0. What is k?
-2, 2, 4, 9
Let q be -11*(7 + -2)*(-16)/20. Factor 89 - 32*u**2 + q*u + 36*u**2 - 193.
4*(u - 2)*(u + 13)
Let m(s) be the first derivative of 6*s**3 + 34*s**2 - 1/2*s**4 + 48*s - 46. Factor m(o).
-2*(o - 12)*(o + 1)*(o + 2)
Let i be (12/10)/((-18)/(-45)). Factor 6*s + 5872*s**i + s**2 - 4*s**2 - 5875*s**3.
-3*s*(s - 1)*(s + 2)
Let b(k) = -5*k**2 - 502*k + 132. Let g(r) = -14*r**2 - 1506*r + 352. Let c(o) = 8*b(o) - 3*g(o). Find a, given that c(a) = 0.
-251, 0
Suppose 13*h = 20*h - 533505. Suppose -88*x + h - 4*x**2 - 76215 = 0. Calculate x.
-22, 0
Let s(p) be the first derivative of -15/2*p**2 + 5/4*p**4 + 0*p + 25/6*p**3 - 1/2*p**5 - 23. Find n, given that s(n) = 0.
-2, 0, 1, 3
Suppose -43*k + 41*k = -g + 8, 4*g = 4*k + 40. Suppose 0*n - 1/4*n**3 + 1/4*n**5 - 3/4*n**4 + 7/4*n**k - 1 = 0. Calculate n.
-1, 1, 2
Suppose -34 = -4*y - 5*p + 17, -3*y - 4*p =