 2*h - 22, 5*o + 5*h = 20. Let y be (-2 + 21/o)*(-8)/(-15). Solve -y*l**5 - 4/5 + 2/5*l + 14/5*l**2 + 2/5*l**3 - 2*l**4 = 0.
-2, -1, 1/2, 1
Let j(t) be the third derivative of -11*t**6/40 + 27*t**5/5 - 255*t**4/8 - 25*t**3 - 24*t**2 + 3*t. Suppose j(r) = 0. Calculate r.
-2/11, 5
Let v(t) be the first derivative of 15/4*t**4 - 100/3*t**3 + 55/2*t**2 + 30*t + 18. What is q in v(q) = 0?
-1/3, 1, 6
Find q such that -24*q - 12*q**2 - 7*q**2 + 3*q**2 + 36 + q**2 - 6*q**3 + 9*q**3 = 0.
-2, 1, 6
Let p = -1743949/3 + 581317. Solve -p*b**2 - 22*b - 64/3 = 0 for b.
-32, -1
Let g(c) be the first derivative of c**4/3 + 4*c**3 + 22*c**2/3 - 28*c - 466. Solve g(j) = 0 for j.
-7, -3, 1
Let f be -1 + 2*(-1)/(-1)*140/70. Let 0*u**2 - 4/9*u**f + 0 + 2/9*u**5 + 2/9*u**4 + 0*u = 0. What is u?
-2, 0, 1
Let y be 4/28*(-122)/30 - (-2238)/3357. Let q(r) be the first derivative of 0*r - y*r**5 + 3 + 0*r**4 + 3/7*r**3 - 3/7*r**2. Factor q(k).
-3*k*(k - 1)**2*(k + 2)/7
Let z(x) be the second derivative of -1/42*x**4 - 11*x + 0 - 3/2*x**2 + 1/21*x**3 + 1/210*x**5. Let l(g) be the first derivative of z(g). Factor l(r).
2*(r - 1)**2/7
Factor 0 - 1/2*d**4 + 2*d**3 - 2*d + 1/2*d**2.
-d*(d - 4)*(d - 1)*(d + 1)/2
Let r = 5962/8853 + -20/2951. Factor 2/3*y**2 - 2/3 - 2/3*y**3 + r*y.
-2*(y - 1)**2*(y + 1)/3
Suppose 0 = 4*l - 45 - 483. Let 1 + l*n + 175 - 4*n**2 - 40 = 0. Calculate n.
-1, 34
Let f(i) be the second derivative of -1/126*i**7 + 0*i**4 + 0*i**3 + 8*i - 5/12*i**5 + 0*i**2 - 1/9*i**6 + 2. Factor f(l).
-l**3*(l + 5)**2/3
Factor -9620*f + 39804*f - 29826870 - 27115246 - 4*f**2.
-4*(f - 3773)**2
Let h(j) be the second derivative of -6*j - j**4 + 7 + 63/2*j**2 + 25/2*j**3. Determine f so that h(f) = 0.
-3/4, 7
Let -2/5*h**2 - 248/5 - 128/5*h = 0. What is h?
-62, -2
Let k(i) be the first derivative of -i**4/8 + 17*i**3/2 - 210*i**2 + 2254*i + 665. Let k(y) = 0. What is y?
14, 23
Let y(t) be the second derivative of -t**4/54 + 964*t**3/27 - 232324*t**2/9 + 907*t. Factor y(u).
-2*(u - 482)**2/9
Let y = 2047 - 2044. Let z(j) be the first derivative of 4/9*j**y + 0*j - 1/6*j**4 - 1/3*j**2 - 25. Solve z(x) = 0 for x.
0, 1
Let s = 2/103929 + 69280/311787. Factor 14/9*x + s*x**2 - 16/9.
2*(x - 1)*(x + 8)/9
Find z such that -8295*z**2 - 6393*z**2 + 5*z**3 - 2297*z**2 - 6324725 + 20757730 + 14416015*z = 0.
-1, 1699
Let a(o) be the second derivative of 3*o**5/40 - 685*o**4/12 - 5989*o**3/12 - 461*o**2 + 3728*o. Solve a(f) = 0.
-4, -1/3, 461
Let n(q) = -q**2 + 21*q + 150. Let d be n(24). Factor 83*c**3 - d*c**3 + 97*c + 40*c**2 + 50 - 12*c.
5*(c + 1)*(c + 2)*(c + 5)
Let r(p) = 3*p**4 + 183*p**3 + 405*p**2 + 381*p + 111. Let c(i) = i**4 + 45*i**3 + 101*i**2 + 95*i + 28. Let n(k) = -9*c(k) + 2*r(k). Solve n(u) = 0 for u.
-10, -1
Suppose 0 = 72*y - 33 - 29 - 154. Let k(j) be the second derivative of 3/28*j**4 + 3/14*j**y + 0 + 3/140*j**5 - 22*j + 3/14*j**2. Factor k(h).
3*(h + 1)**3/7
Let i(b) be the second derivative of 0 + 3/20*b**5 - 3/20*b**6 + 0*b**2 + 86*b + 0*b**3 + 0*b**4. Factor i(y).
-3*y**3*(3*y - 2)/2
Let j(g) be the third derivative of 50/3*g**3 - 4*g**4 + 0 + 0*g - 1/15*g**5 - 212*g**2. Solve j(u) = 0 for u.
-25, 1
What is l in 0 - 2/3*l**2 + 2/3*l = 0?
0, 1
Let a(p) = -2*p**2 + 3*p - 3*p + 3*p + p. Suppose 3*n - s - 3*s = 26, n = s + 7. Let v(k) = k**3 - 5*k**2 + 9*k. Let i(x) = n*v(x) - 5*a(x). Factor i(o).
2*o*(o - 1)*(o + 1)
Let a = 20/27 + -58/297. Suppose -3*g - 9 = -5*q, -4*g - 12 = -25*q + 28*q. Suppose q + 2/11*o**2 - 6/11*o**3 + 0*o + a*o**4 - 2/11*o**5 = 0. What is o?
0, 1
Let v = 2336 + -2334. Let i be (-8)/(-16) + 18/4. Suppose 0 + 4/9*z - 20/9*z**4 + 4/3*z**3 + 20/9*z**v - 16/9*z**i = 0. What is z?
-1, -1/4, 0, 1
Let g(n) = -4*n**4 - 770*n**3 + 33605*n**2 - 31167*n - 65610. Let p(v) = v**4 - 5*v**3 - 2*v. Let u(s) = -g(s) - 9*p(s). Factor u(c).
-5*(c - 81)**2*(c - 2)*(c + 1)
Determine h so that -39/8*h**2 + 135/2 - 24*h = 0.
-90/13, 2
Let l = 2019/68 - 492/17. Let u(r) be the first derivative of l*r - 22 - 1/2*r**3 + 3/8*r**2. Factor u(b).
-3*(b - 1)*(2*b + 1)/4
Suppose -13*x - 15 = -18*x. Suppose 0 = 3*n + 4*o - x*o - 6, -2*o = 3*n - 6. Find y, given that -7 + 5 - 22*y + n*y**4 + 4*y**3 + 18*y = 0.
-1, 1
Determine l so that -66/5*l - 2 - 56/5*l**2 = 0.
-1, -5/28
Let l = -349 - -325. Let d be l/(-54) - (-4)/(-18). Suppose -d*s**4 + 2/9*s**2 + 0 + 2/9*s**3 - 2/9*s = 0. What is s?
-1, 0, 1
Let c be -22 - (-1 - 71/3). Let -5/3*r**3 + 0 - 4/3*r - 1/3*r**4 - c*r**2 = 0. Calculate r.
-2, -1, 0
Let u(p) be the first derivative of -p**5/120 + p**4/8 - 3*p**3/4 + 74*p**2 + 2*p - 116. Let j(z) be the second derivative of u(z). Factor j(i).
-(i - 3)**2/2
Let b(s) be the second derivative of s**4/72 + 31*s**3/36 - 35*s**2/3 + 43*s - 1. Factor b(g).
(g - 4)*(g + 35)/6
Let k be 7/7 - (((-1725)/(-200))/(-69) + 30/(-16)). Factor -7/2*s**2 - 3*s + 1/6*s**4 + 0 - 1/3*s**k.
s*(s - 6)*(s + 1)*(s + 3)/6
Let r = -1383989/3 + 461330. Let -2/3*l**2 - r - l = 0. Calculate l.
-1, -1/2
Suppose 0 = -6*s - 261 + 291. Let g(c) = -c**2 + 12*c - 32. Let r be g(s). Solve 9/4*t**r + 21/4*t**2 + 0 + 3/2*t = 0 for t.
-2, -1/3, 0
Let 5*f + 218*f + 154*f - 93*f + 2400 - 2*f**2 + 0*f**2 = 0. What is f?
-8, 150
Let w(h) = -8*h**2 - 14*h + 5. Let u = 160 - 139. Let v(g) = -33*g**2 - 57*g + 21. Let a(d) = u*w(d) - 5*v(d). Factor a(z).
-3*z*(z + 3)
Let y(n) = 96*n**2 - 140*n. Let l(w) = -7*w**2 + w. Let t(i) = -28*l(i) - 2*y(i). Determine r, given that t(r) = 0.
-63, 0
Let a be (5 - (-12)/(-96)*28)/((-24)/(-32)). Factor 58/11*o + 56/11 + 2/11*o**a.
2*(o + 1)*(o + 28)/11
Let r(v) = -31*v**3 + 17667*v**2 - 3924927*v + 3907280. Let d(h) = -6*h**3 + 3534*h**2 - 784986*h + 781456. Let p(z) = 11*d(z) - 2*r(z). Factor p(f).
-4*(f - 442)**2*(f - 1)
Let c(w) be the third derivative of -10/9*w**3 - 2*w**2 + 9/8*w**4 + 0 - 24*w - 1/45*w**5. Factor c(d).
-(d - 20)*(4*d - 1)/3
Let c = -3090 - -3093. Let s(u) be the third derivative of -1/105*u**7 + 2/15*u**6 - 8/15*u**5 + 0*u + 5*u**2 + 0*u**c + 0*u**4 + 0. Let s(w) = 0. Calculate w.
0, 4
Let w(c) be the second derivative of 12*c**7/7 + 13*c**6/5 + 3*c**5/20 - c**4/4 + 30*c + 7. Find u, given that w(u) = 0.
-1, -1/4, 0, 1/6
Suppose 10 = -5*j, 2*t + 2*j = -0*j - 46. Let l be 5 + (10 - (-297)/t). Suppose 3/7*v + l - 3/7*v**2 = 0. What is v?
-1, 2
Suppose 47*o - 234 = 33*o - 103*o. Determine a, given that -2/5*a**3 + 18/5*a - 16/5*a**o + 0 = 0.
-9, 0, 1
Let b be ((-142)/24 - 22/(-220)*20) + 4. Solve 0 + 7/6*v + b*v**2 = 0 for v.
-14, 0
Let m(r) = -5*r**2 + 9610*r + 9603. Let d(i) = -385*i**2 + 739975*i + 739430. Let s(u) = -2*d(u) + 155*m(u). Factor s(k).
-5*(k - 1921)*(k + 1)
Suppose -m - 6 = -1675*d + 1679*d, -5*d = -4*m - 24. Find h, given that 4/7*h**3 + d - 2/7*h**2 - 4/7*h + 2/7*h**4 = 0.
-2, -1, 0, 1
Factor -370*s**3 + 1195*s + 401*s + 178*s**3 + 188*s**3 + 1053 - 253 + 792*s**2.
-4*(s - 200)*(s + 1)**2
Let s = 6 - 4. Let d(k) = -k**3 + 26*k**2 - 47*k - 21. Let o be d(24). Factor -7*n**2 - s*n + 0*n - o + 8*n**2.
(n - 3)*(n + 1)
Let m(s) = 102*s**3 + 2910*s**2 + 15*s - 3105. Let i(c) = -13*c**3 - 364*c**2 - 2*c + 389. Let v(o) = -39*i(o) - 5*m(o). Find h, given that v(h) = 0.
-118, -1, 1
Let n = -16152 + 16154. Determine c so that -1/6*c**3 + 17/6 + 11/2*c + 5/2*c**n = 0.
-1, 17
Suppose 2*r = -16*r + 36. Let -2*o - 759*o**3 + 758*o**3 + 3*o - o**4 - o**2 + r*o**2 = 0. Calculate o.
-1, 0, 1
Let f(t) be the third derivative of -t**6/60 + 13*t**5/5 - 299*t**4/12 + 74*t**3 + 2*t**2 + t - 1168. Factor f(z).
-2*(z - 74)*(z - 3)*(z - 1)
Let u(h) = 3*h**2 - 44*h + 30. Let g be u(14). Determine v so that -15813*v**3 + 3*v**4 - 3*v + 15812*v**3 - g*v**4 - 5*v**2 = 0.
-1, 0, 3
Let t(q) be the third derivative of -q**8/2520 + q**6/180 - q**5/90 - 3*q**3/2 + 110*q**2. Let n(w) be the first derivative of t(w). Find y such that n(y) = 0.
-2, 0, 1
Suppose -11453994*g**2 + 212100*g - 333450 + 11451914*g**2 + 1215450 + 5*g**3 = 0. What is g?
-4, 210
Find x, given that 45533*x**4 + 48138*x**3 + 142822*x**3 + 144195*x**4 + 1234*x**2 + 2*x = 0.
-1, -1/308, 0
Let f(i) be the first derivative of 3*i**4/4 + 36*i**3 + 879*i**2/2 + 1350*i + 5673. Factor f(o).
3*(o + 2)*(o + 9)*(o + 25)
Suppose -157 = 57*u - 328. Let x(p) be the second derivative of 1/10*p**6 + 0*p**2 + 0 - 9/10*p**5