
Solve 12/5*x**2 + 132/5*x - 4/5*x**3 - 28 = 0 for x.
-5, 1, 7
Let n(l) = 20*l**4 + 905*l**3 - 905*l**2 - 1745*l + 45. Let y(m) = 5*m**4 + 227*m**3 - 226*m**2 - 436*m + 12. Let x(j) = -4*n(j) + 15*y(j). Factor x(p).
-5*p*(p - 2)*(p + 1)*(p + 44)
Let d = 577 - 422. Factor 5*o**2 - d*o - 2*o**2 + 110*o.
3*o*(o - 15)
Let r(g) = 3*g**3 + 118*g**2 - 851*g + 1320. Let h(y) = 5*y**3 + 235*y**2 - 1700*y + 2625. Let w(c) = -2*h(c) + 5*r(c). Solve w(u) = 0.
-30, 3
Let z be -18*2/6*-5. Solve -5*f - 24*f**2 + 32*f**2 - 43*f**2 - z*f**3 = 0 for f.
-1, -1/6, 0
Suppose -88 + 90 = q - 4*a, -4*a = q - 42. Let g(d) be the third derivative of 1/12*d**4 + 0*d + 1/60*d**5 + 0*d**3 - q*d**2 + 0. Factor g(z).
z*(z + 2)
Factor 11405760 - 8720*k + 5/3*k**2.
5*(k - 2616)**2/3
Let p(v) be the first derivative of -v**4/16 + 97*v**3/4 - 21315*v**2/8 + 21025*v/4 + 1128. Solve p(w) = 0.
1, 145
Let u(g) be the second derivative of 20*g**2 - 4/15*g**6 - 119 - g - 10*g**4 + 23/5*g**5 - 2/3*g**3. Find v such that u(v) = 0.
-1/2, 1, 10
Let g be (70/(-40)*8*10/(-200))/((-2)/(-5)). Solve 1/2 - 4*u**4 + g*u**5 + 7/2*u**2 - 11/4*u + u**3 = 0.
-1, 2/7, 1
Let -115*b**2 - 36 + 114*b - 4*b**4 + 11*b**2 + 9*b**2 + 34*b**3 - 5*b**2 = 0. What is b?
1/2, 2, 3
Let q(c) = c**2 - 517*c + 3135. Let i(g) = g**2 - g - 7. Let m(b) = -6*i(b) + 2*q(b). Factor m(t).
-4*(t - 6)*(t + 263)
Let n(v) = 33*v**4 + 257*v**3 + 70*v**2 + 2*v + 8. Let c(d) = -d**4 + d**3 + d + 4. Let h(s) = -2*c(s) + n(s). Solve h(x) = 0.
-7, -2/7, 0
Let g be (-10 + 8 - 3)*-1. Suppose 22 - 6 = 4*l. Factor -l*b**3 - g*b**4 + b**4 + 2*b**4 + b + b**3.
-b*(b + 1)**2*(2*b - 1)
Factor 98/9*s + 50/9 - 2/9*s**3 + 46/9*s**2.
-2*(s - 25)*(s + 1)**2/9
Find x such that 0 + 84/5*x + 86/5*x**2 + 2/5*x**3 = 0.
-42, -1, 0
Factor 3/4*r**2 + 1167/2*r + 453963/4.
3*(r + 389)**2/4
Let p(a) = 3*a - 27. Suppose 81*y = 96*y - 135. Let k be p(y). Solve -7/5*u**5 + 2/5*u + u**3 + 9/5*u**4 - 9/5*u**2 + k = 0.
-1, 0, 2/7, 1
Suppose 0 = 5*s - 4*z - 16, -2*s + 567*z + 5 = 564*z. Determine l so that -27/5*l + 0 + 3*l**3 - 9/5*l**2 - 3/5*l**s = 0.
-1, 0, 3
Let p(a) be the second derivative of 0 + 1/27*a**4 + 3/2*a**2 + 14*a + 0*a**3 - 1/270*a**5. Let l(b) be the first derivative of p(b). Factor l(k).
-2*k*(k - 4)/9
Solve 294/5 - 296/5*d + 2/5*d**2 = 0 for d.
1, 147
Suppose -3*c = 2*a - 16, 3*c - a + 14 = 3*a. Suppose -2*h = -2 - c. Solve -12*w**2 - 7*w**2 - 13*w**2 + 35*w**h - 3*w**4 = 0 for w.
-1, 0, 1
Let w(t) be the third derivative of 17*t**7/168 - 7*t**6/160 - 13*t**5/60 - t**4/8 + 1086*t**2. Solve w(z) = 0.
-2/5, -6/17, 0, 1
Let l = 9236 - 9230. Let t(y) be the second derivative of 0 - 1/3*y**l + 17*y + 0*y**3 + 0*y**2 + 4/5*y**5 + 2/3*y**4. Factor t(g).
-2*g**2*(g - 2)*(5*g + 2)
Factor 0 + 54/5*s**2 - 364/5*s - 2/5*s**3.
-2*s*(s - 14)*(s - 13)/5
Suppose 2*m = 4*d - 14, 27*m + 17 = 5*d + 24*m. Suppose -191*t + d*t**2 + 100*t + 33 + 35*t - 93 = 0. Calculate t.
-1, 15
Let s(f) = 4*f**2 + 3*f - 19. Let d = 17927 + -17924. Let q be 12*-3*(-2)/9. Let u(x) = -12*x**2 - 8*x + 56. Let n(o) = d*u(o) + q*s(o). Factor n(w).
-4*(w - 2)*(w + 2)
Let -2/3*j**3 - 28/3*j**2 + 0 + 10*j = 0. What is j?
-15, 0, 1
Factor 1144/5*a**3 + 0 - 3/5*a + 274/5*a**2.
a*(4*a + 1)*(286*a - 3)/5
Let a(p) = 39*p**3 + 67*p**2 + 25*p - 421. Let b(y) = 18*y**3 + 34*y**2 + 13*y - 211. Let g(q) = -5*a(q) + 11*b(q). Find c such that g(c) = 0.
-12, -3, 2
Factor -705/7 + 3/7*o**2 - 702/7*o.
3*(o - 235)*(o + 1)/7
Let q(h) be the first derivative of -128*h**2 + 2/5*h**5 + 218 + 192*h - 13/2*h**4 + 124/3*h**3. What is g in q(g) = 0?
2, 3, 4
Let c = -2988 - -2988. Let t(n) be the second derivative of 1/3*n**4 - 2/15*n**6 + 0 - 2/5*n**5 - 14*n + c*n**2 + 4/3*n**3. Factor t(p).
-4*p*(p - 1)*(p + 1)*(p + 2)
Let a(f) = -f**2 + 2*f + 20. Let q(t) = -t + 4. Let h(m) = a(m) - 5*q(m). Suppose h(v) = 0. Calculate v.
0, 7
Let a(d) be the second derivative of -d**4/3 + 14*d**3/3 - 20*d**2 + 402*d. Find g, given that a(g) = 0.
2, 5
Let k(p) = -p**2 + p. Let t(h) = h**2 - h + 60. Let i be (-133)/19*(1 - 2) + -4. Let q(s) = i*k(s) + t(s). Suppose q(b) = 0. Calculate b.
-5, 6
Let o(l) be the first derivative of -13/4*l**3 + 9/4*l**2 + 0*l + 155. Factor o(f).
-3*f*(13*f - 6)/4
Let k(d) be the second derivative of d**5/50 + 107*d**4/30 + 308*d**3/15 - 416*d**2/5 - 6147*d. Factor k(h).
2*(h - 1)*(h + 4)*(h + 104)/5
Suppose 55*j = 57*j + 4. Let y be 125/35 - (1*-6)/j. Factor y*d + 0 + 2/7*d**2.
2*d*(d + 2)/7
Let d be 13 - 184/16 - (-1)/2. Let j(z) be the third derivative of 15*z**d + 0*z**3 + 1/90*z**6 + 1/36*z**5 + 0 + 1/72*z**4 + 0*z. Factor j(o).
o*(o + 1)*(4*o + 1)/3
Let g be (-1492)/(-5595) + (-17)/120. Let j(f) be the second derivative of 0 + 1/240*f**6 - g*f**2 - f + 5/48*f**3 - 1/32*f**4 - 1/160*f**5. Factor j(u).
(u - 1)**3*(u + 2)/8
Let 177/8*h**3 + 63/8*h**4 + 0 - 75/8*h + 3/4*h**5 + 45/8*h**2 = 0. What is h?
-5, -1, 0, 1/2
Let c(x) = -213*x**2 + 171*x - 6. Let l(u) = 425*u**2 - 319*u + 14. Let r(q) = 15*c(q) + 6*l(q). Find w, given that r(w) = 0.
2/215, 1
Let j(w) be the second derivative of -3*w**2 - 139*w + w**3 + 1/90*w**5 + 0 - 1/6*w**4. Let j(l) = 0. Calculate l.
3
Let p = -293321 + 299187527/1020. Let o = p + 11/68. Factor 2/15*f**3 + o*f**2 - 2/15*f**4 + 0*f + 0.
-2*f**2*(f - 2)*(f + 1)/15
Suppose 18*o - 11*o = 10*o. Suppose -3*l - 3*c - 29 = -32, 2*l + 4*c = -4. Factor o + 0*f - 6/7*f**2 - 12/7*f**3 - 6/7*f**l.
-6*f**2*(f + 1)**2/7
Let b(n) = -n**2 + 6*n + 3. Let z be b(6). Suppose 0 = 2*x - 4*t - 20, 175*x + 3*t = 174*x - 5. Factor 3 + j**z - j + 7*j - 3*j**x - 7*j**3.
-3*(j - 1)*(j + 1)**3
Let n(s) be the second derivative of -s**6/90 - s**5/12 - s**4/6 + 67*s**3/6 - 115*s. Let v(y) be the second derivative of n(y). Suppose v(j) = 0. What is j?
-2, -1/2
Let p = 763 - 731. Let b(y) = -8*y + 256. Let c be b(p). Factor c + 0*v + 3/4*v**3 + 15/4*v**2.
3*v**2*(v + 5)/4
Let r be ((-63)/(-441)*(5 - 1))/(6/42 - 0). Solve 0 - 72/5*b + 2/5*b**r + 32/5*b**2 + 38/5*b**3 = 0.
-18, -2, 0, 1
Let p be 8/42*1554/148 - -2. Let c(f) be the third derivative of 0*f - 8/3*f**3 + 0 + 0*f**p + 1/15*f**5 - 43*f**2. Factor c(s).
4*(s - 2)*(s + 2)
Let l(g) be the first derivative of 18 + 1/30*g**4 + 0*g**2 + 0*g**3 - 3/25*g**5 - 16*g. Let c(t) be the first derivative of l(t). Factor c(v).
-2*v**2*(6*v - 1)/5
Let d be 4*1 - 18/(-18). Factor -864*o**2 + 4*o**d + 1381 + 91*o**3 - 434*o**3 - 108*o + 31*o**3 - 85 - 16*o**4.
4*(o - 12)*(o - 1)*(o + 3)**3
Let h(w) be the third derivative of -w**5/220 + 101*w**4/66 + 45*w**3/22 - 2737*w**2. Find g such that h(g) = 0.
-1/3, 135
Factor 11*s**4 - 11*s - 29*s - 18*s**3 - 9*s**4 - 1010*s**2 + 1058*s**2.
2*s*(s - 5)*(s - 2)**2
Let x(l) be the first derivative of -l**4/10 - 23*l**3/15 - 17*l**2/10 + 42*l/5 - 1790. Find w such that x(w) = 0.
-21/2, -2, 1
Let t(q) be the second derivative of 19/2*q**2 - 1/20*q**4 + 0 - 2/15*q**3 - 1/150*q**5 - 12*q. Let l(b) be the first derivative of t(b). Factor l(u).
-2*(u + 1)*(u + 2)/5
Let b be 2145/520 - 2/16. Let d(q) be the second derivative of 0*q**3 + 0 + 5*q + 1/15*q**b + 0*q**2 - 3/50*q**5. Factor d(j).
-2*j**2*(3*j - 2)/5
Let g = -5 + 12. Let h = g + 28. Find l, given that -11*l - 45*l**2 - 43*l**3 - h*l**3 + 2 + 29*l**3 - 17*l**4 = 0.
-1, 2/17
Factor 390*j**2 + 5*j**3 + 320 + 10 + 54 - 8*j**3 - 101*j - 670*j.
-3*(j - 128)*(j - 1)**2
Let s(v) be the second derivative of v**6/150 - v**5/10 - 31*v**4/60 + 44*v**3/15 - 24*v**2/5 + 1656*v. Factor s(g).
(g - 12)*(g - 1)**2*(g + 4)/5
Let w(h) be the third derivative of h**8/224 - h**7/10 + 57*h**6/80 - 19*h**5/10 + 2*h**4 + 474*h**2. Let w(v) = 0. Calculate v.
0, 1, 4, 8
Suppose -5*p + z = -2*z - 6, 4*z = -5*p + 27. Let y be (376 - 1)/p - (-8)/(-2). Factor -3*x**2 - y*x**3 + 3*x**4 + 60*x**3 + 64*x**3 - 3*x.
3*x*(x - 1)*(x + 1)**2
Let m = 480 + -479. Factor 4*g**2 - 8*g - m + 9*g + g + 5 + 6*g.
4*(g + 1)**2
Let u(f) be the third derivative of f**7/4620 - f**6/99 + 37*f**5/660 - 3*f**4/22 - 64*f**3/3 + 53*f**2. Let v(d) be the first derivative of u(d). Factor v(q).
2*(q - 18)*(q - 1)**2/11
Let b(x) be the first derivative of -3*x**4/8 + 19*x**3/3 + 153*x**2/4 - 94*x + 3121. Suppose b(s) = 0. What is s?
-4, 1, 47/3
Factor -596*g**2 - g**3 - 1665*g + 835 + 6*g**3 + 1421*g**2.
5*(g - 1)**2*(g + 