*3 - 2/5*h + 2/15*h**4 + 46/15*h**2 - 24/5 = 0.
-1, 3, 4
Let u(m) = -3*m - 12. Let l be u(-5). Let k(a) = -5*a**3 - 5*a**2 + 5*a - 5. Let p(n) = 2*n**3 + 2*n**2 - 3*n + 3. Let t(j) = l*k(j) + 5*p(j). Factor t(v).
-5*v**2*(v + 1)
Suppose -4*o = n - 13, 2*n - 3*n - 3 = 0. Let l(h) = -7*h**2 + 43*h - 103. Let w(d) = -8*d**2 + 44*d - 104. Let x(b) = o*l(b) - 3*w(b). What is q in x(q) = 0?
5
Let 790*a**2 - 393*a**2 + 3125 - 392*a**2 - 250*a = 0. Calculate a.
25
Let a(f) = -f**3 + 13*f**2 - 14*f + 28. Let c be a(12). Suppose -20 = -8*q + c. Factor o + 2/3 + 0*o**2 - 1/3*o**q.
-(o - 2)*(o + 1)**2/3
Let c be 1 - (149439/189 + (-21)/(-49)). Let r = c - -791. Determine u so that -8/9*u + 0 - 2/9*u**5 - r*u**2 + 4/9*u**4 + 2/3*u**3 = 0.
-1, 0, 2
Let h(g) be the third derivative of g**5/510 + 127*g**4/204 + 42*g**3/17 + 182*g**2. Find j, given that h(j) = 0.
-126, -1
Let s(l) be the first derivative of 2*l**5/25 - l**4/10 - 4. Factor s(b).
2*b**3*(b - 1)/5
Suppose p = -n + 2, -2*n - 16 = p - 3*p. Suppose 0 = 2*j + 1 - p. Suppose -8 - 2*k + 4*k**j + 0*k**2 + 0 - 2*k = 0. What is k?
-1, 2
Let g(d) be the third derivative of d**8/1512 + 38*d**7/945 + 101*d**6/108 + 146*d**5/15 + 36*d**4 + 64*d**3 - 42*d**2. Factor g(i).
2*(i + 1)**2*(i + 12)**3/9
Let a(u) be the third derivative of -u**8/84 + 4*u**7/35 - 2*u**6/5 + 8*u**5/15 - 139*u**2. Solve a(v) = 0.
0, 2
Let h(c) = -c**2 + 5*c + 2. Let v be h(7). Let z be (-4 + 327/81)/((-2)/v). Factor -2/9*f**2 + 0 + 0*f + z*f**3.
2*f**2*(f - 1)/9
Solve 12*m + 3/4*m**4 - 27/4*m**3 + 0 + 9/2*m**2 = 0.
-1, 0, 2, 8
Let b = 1296/7 + -1280/7. Factor -b*o**3 + 2*o + 2/7*o**5 - 4/7*o**2 - 4/7*o**4 + 8/7.
2*(o - 4)*(o - 1)*(o + 1)**3/7
Let i(o) be the first derivative of -1/15*o**3 - 2/5*o**2 - 7 - 4/5*o. Factor i(y).
-(y + 2)**2/5
Suppose 4*b - 4*n - 31 = -b, 5*b - 11 = -n. Let f be 1/b*(38 - -4). Solve -14*s**2 + 0 + 10*s - f*s - 8*s**3 + 2 = 0 for s.
-1, 1/4
Let w(x) be the third derivative of -x**6/360 - x**5/60 + x**4/8 - 3*x**3 + 2*x**2. Let b(s) be the first derivative of w(s). Suppose b(z) = 0. What is z?
-3, 1
Let c(u) = -u**3 - 5*u**2 + 5*u - 5. Let h be c(-5). Let v be h/(-24) - 3/4. Find z such that 2*z**3 + 2*z + 1/2 + 3*z**2 + v*z**4 = 0.
-1
Let d(o) be the second derivative of 3*o**4/20 + 13*o**3/10 - 3*o**2 + 4*o. Factor d(z).
3*(z + 5)*(3*z - 2)/5
Determine s so that s**3 - 41*s**5 + 40*s**5 + 2*s**4 - 6*s**2 + 4*s**4 = 0.
-1, 0, 1, 6
Let c(g) be the first derivative of -g**6/72 + 5*g**4/6 + 2*g**3/3 + 3. Let m(q) be the third derivative of c(q). Factor m(y).
-5*(y - 2)*(y + 2)
Let p(h) be the first derivative of -2*h**3/51 - 13*h**2/17 - 148. Factor p(y).
-2*y*(y + 13)/17
Let k(t) = 6*t**3 - 21*t**2 - 8*t - 12. Let l be k(4). Suppose h**2 + 1/3*h**l + 1/3*h + 0 + h**3 = 0. What is h?
-1, 0
Let i(u) be the second derivative of 0 - 3/2*u**3 + 6*u - 1/10*u**6 - 1/4*u**4 + 9/20*u**5 + 3*u**2. Determine q, given that i(q) = 0.
-1, 1, 2
Factor 63/2*c - 9*c**3 + 6 - 57/2*c**2.
-3*(c - 1)*(c + 4)*(6*c + 1)/2
Find c, given that 0 - 2/21*c**4 - 2/7*c**3 + 2/7*c + 2/21*c**2 = 0.
-3, -1, 0, 1
Let h(x) be the first derivative of 9 - 1/2*x**3 + 0*x - 3/4*x**2. Factor h(q).
-3*q*(q + 1)/2
Suppose 45*w - 115 = 40*w. Suppose w*u - 18*u - 10 = 0. Factor 8/7 - 2/7*q**u + 0*q.
-2*(q - 2)*(q + 2)/7
Let b be (348/11)/3 + -10. Solve 6/11*d**2 - 2*d**3 + 16/11*d - 8/11 + b*d**5 + 2/11*d**4 = 0.
-2, -1, 2/3, 1
Let a be (3/(-6))/(5/(-50)). What is d in 52*d - 60*d**3 + 9 - 4*d**2 + 8*d - a = 0?
-1, -1/15, 1
Let g be -5 + (216/15 - 9). Determine w, given that -g*w**4 - 2/5*w**2 + 0 - 4/5*w**3 + 0*w = 0.
-1, 0
Let n = -47/40 - -11/8. Suppose -291*g = -257*g. Factor n*s + 1/5*s**2 + g.
s*(s + 1)/5
Let k(a) = 7*a - 10. Let f be k(2). Factor -n**3 - f*n**4 + 0*n**4 - 4*n**3 - 3*n**3.
-4*n**3*(n + 2)
Suppose 4/7*u**2 - 33/7 + 1/7*u = 0. What is u?
-3, 11/4
Factor 0*n**2 + 2/3*n - 2/9*n**3 + 4/9.
-2*(n - 2)*(n + 1)**2/9
Solve -2/15*o**3 + 58/3*o**2 - 10658/15 - 10366/15*o = 0 for o.
-1, 73
Suppose 0 = 2*g - r - 15, 0*g + 3*r - 19 = -2*g. Suppose -g*t + 18 = 2. Suppose -1/6*s**t - 1/3 - 1/2*s = 0. Calculate s.
-2, -1
Let y(k) be the third derivative of k**5/15 - k**4 + 16*k**3/3 + 18*k**2. Factor y(z).
4*(z - 4)*(z - 2)
Suppose 38 = 3*y + 2. Suppose 2*b = -4*f - b + 12, y = 4*f - 4*b. Let 0 + 2/13*i**2 - 4/13*i**f + 2/13*i = 0. What is i?
-1/2, 0, 1
Suppose -h + 30 = -2*p, -5*p = -9 + 19. Let f be (-4)/h - 171/(-351). Suppose 0 - 1/6*x**2 + f*x - 1/6*x**3 = 0. Calculate x.
-2, 0, 1
Let v(q) = 10*q**4 + 5*q**3 - 60*q**2 - 65*q. Let m(d) = 5*d**4 + 3*d**3 - 29*d**2 - 33*d. Let r(a) = 5*m(a) - 3*v(a). Factor r(b).
-5*b*(b - 3)*(b + 1)*(b + 2)
Let w(u) = 2*u**2 - 2. Let v(d) = -d - 1. Let m(s) = 6*v(s) + w(s). Solve m(l) = 0.
-1, 4
Let y(c) be the second derivative of -c**4/9 + 44*c**3/3 - 143*c - 3. Factor y(b).
-4*b*(b - 66)/3
Let l(n) = 29*n - 83. Let k be l(3). Let p(t) be the first derivative of -t**k + 4*t**2 - 7 - 2/5*t**5 - 8*t + 2*t**3. Solve p(z) = 0.
-2, 1
Factor -152 - 4*j**2 + 84 + 116 + 16*j.
-4*(j - 6)*(j + 2)
Let s(v) be the third derivative of 0*v - 1/48*v**4 + 1/120*v**5 + 1/240*v**6 - 1/12*v**3 - 6*v**2 + 0. Factor s(z).
(z - 1)*(z + 1)**2/2
Determine r, given that 72/7*r - 6/7*r**3 + 432/7 - 69/7*r**2 + 3/7*r**4 = 0.
-3, 4
Let r(c) = -147*c**2 + 235*c + 108. Let y(f) = -220*f**2 + 352*f + 160. Let j(v) = 8*r(v) - 5*y(v). Solve j(n) = 0 for n.
-8/19, 2
Let m(a) be the second derivative of -a**5/120 + 7*a**4/36 + 5*a**3/12 + a + 39. Factor m(z).
-z*(z - 15)*(z + 1)/6
Let w = -629/10 + 63. Let q(g) be the second derivative of -5*g - 1/6*g**4 + g**2 + 0 - 1/3*g**3 + w*g**5. Solve q(h) = 0.
-1, 1
Let j be (-1 + 5/(-2))*((-610)/(-35) - 18). Suppose 4/3*t**4 + 4/3*t - 4/3*t**3 - t**j - 1/3 = 0. What is t?
-1, 1/2, 1
Let l(w) = 20*w**2 + 1200*w + 17984. Let g(m) = 4*m**2 + 240*m + 3597. Let x(i) = -16*g(i) + 3*l(i). Factor x(h).
-4*(h + 30)**2
Let k(r) be the third derivative of r**7/210 + 107*r**6/120 + 234*r**5/5 - 243*r**4/2 + 476*r**2 + 2*r. Factor k(l).
l*(l - 1)*(l + 54)**2
Let v(u) = 4*u**3 + 7*u**2 + 7*u. Let b be 1/(((-24)/(-9))/8). Let p(s) = 3*s**3 + 6*s**2 + 6*s. Let q(h) = b*p(h) - 2*v(h). Factor q(i).
i*(i + 2)**2
Factor 45/2*n + 5/2*n**2 + 0.
5*n*(n + 9)/2
Let w(o) be the first derivative of 2*o**6/9 - 8*o**5/15 + 8*o**3/9 - 2*o**2/3 + 22. Factor w(r).
4*r*(r - 1)**3*(r + 1)/3
Suppose 5*y - 32*z = -27*z - 25, -y - 4*z + 20 = 0. Suppose y*p**2 + 0*p**3 + 0 - 2/9*p**4 + 0*p = 0. What is p?
0
Let i(r) be the first derivative of r**8/112 - r**6/10 - r**5/10 + 3*r**4/8 + r**3 + 13*r**2 - 3. Let u(f) be the second derivative of i(f). Factor u(t).
3*(t - 2)*(t - 1)*(t + 1)**3
Let t = 7/15 + -5/12. Let p(n) be the second derivative of -1/15*n**6 + 1/6*n**4 - t*n**5 + 1/6*n**3 - 2*n + 0*n**2 + 0. Solve p(r) = 0.
-1, -1/2, 0, 1
Let r(j) be the second derivative of 0*j**2 - 29*j + 0 - 1/504*j**7 - 1/40*j**5 - 1/72*j**3 + 1/90*j**6 + 1/36*j**4. Factor r(p).
-p*(p - 1)**4/12
Let p(s) be the second derivative of -s**4/36 + 2*s**3/9 - s**2/2 - 8*s - 3. Factor p(g).
-(g - 3)*(g - 1)/3
Let i be ((-18)/(-7)*1421/812)/3. Factor -2*j**2 - i*j + 0 - 1/2*j**3.
-j*(j + 1)*(j + 3)/2
Let t be 78/637*7 - (-30)/14. Let o(i) be the third derivative of 0*i + 1/60*i**6 - 1/10*i**5 - 1/3*i**t - 14*i**2 + 0 + 1/4*i**4. Find w, given that o(w) = 0.
1
Let o(s) be the first derivative of -39*s**4/32 - 21*s**3/8 - 9*s**2/16 + 15*s/8 + 60. What is y in o(y) = 0?
-1, 5/13
Suppose 8*h - 6*h - 22*h = 0. Find w such that 9/4*w**2 + 3/2*w + h = 0.
-2/3, 0
Let k(f) = -2*f**2 + 151*f + 118. Let i(j) = -j**2 + 74*j + 60. Let m(n) = 7*i(n) - 3*k(n). Factor m(v).
-(v - 66)*(v + 1)
Find l such that 150/7*l - 156/7 - 36/7*l**2 = 0.
2, 13/6
Let j be (-67 - -72)*(-38)/(-10). Suppose 0 = -15*v - j + 49. Factor -2/5*n**v - 4/5*n + 0.
-2*n*(n + 2)/5
Let q(i) be the first derivative of i**6/660 + i**5/330 - i**4/132 - i**3/33 - 51*i**2/2 - 38. Let y(t) be the second derivative of q(t). What is g in y(g) = 0?
-1, 1
Let i(j) be the first derivative of -j**6/1620 + 2*j**5/135 - 4*j**4/27 - 7*j**3 + 12. Let q(m) be the third derivative of i(m). Factor q(x).
-2*(x - 4)**2/9
Let s(l) be the second derivative of l**4/24 - 17*l**3/6 - 18*l**2 - 680*l. Factor s(a).
(a - 36)*(a + 