
-2*(l - 2)*(l + 1)**2
Suppose 0 + 0*s**3 + 2/5*s**4 - 6/5*s**2 + 4/5*s = 0. Calculate s.
-2, 0, 1
Determine y, given that 54941*y**2 + 200 - 55113*y**2 - 181*y + 2*y**5 + 51*y - 28*y**4 + 128*y**3 = 0.
-1, 1, 4, 5
Suppose 76 = -8*j + 12*j. Let d = -17 + j. What is v in -4*v**d + 9 - 9 + 2*v**2 - 2*v = 0?
-1, 0
Factor 5*h**4 - 25*h + 121*h**2 + 25*h**3 - 63*h**2 + 0*h**4 - 63*h**2.
5*h*(h - 1)*(h + 1)*(h + 5)
Let q(z) be the third derivative of z**5/270 - z**4/3 + 12*z**3 + 3*z**2 + z. Determine i so that q(i) = 0.
18
Let l be (6 - 5)*(-2)/(2/47). Let r = -139/3 - l. Suppose 1/3*s**2 + 1/3 - r*s = 0. What is s?
1
Let s(u) be the first derivative of u**3/3 - 11*u**2/2 - 9*u + 6. Let v be s(12). Factor 6*w + 28 - 22 - 5*w**3 + 2*w**3 + v*w.
-3*(w - 2)*(w + 1)**2
Let f(k) be the second derivative of 3*k**5/160 + 3*k**4/16 + 9*k**3/16 - 2*k + 5. Solve f(w) = 0.
-3, 0
Let h(r) = 6*r**2 - 20*r - 20. Let i(z) = -2*z + 7. Let p be i(9). Let g(y) = -y**2 + 4*y + 4. Let a(c) = p*g(c) - 2*h(c). Factor a(n).
-(n + 2)**2
Suppose 0 = -u + 3*g - 10, 0 = 4*u - u + g - 10. Factor 2*h - u*h - 2*h**4 + 8*h**3 - 4*h**3 - 2*h**2.
-2*h**2*(h - 1)**2
What is s in 362/9*s - 1/9*s**2 - 32761/9 = 0?
181
Let c(d) be the second derivative of -5*d + 1/110*d**5 + 2/33*d**4 + 4/33*d**3 + 0 + 0*d**2. Factor c(b).
2*b*(b + 2)**2/11
Let f(m) be the second derivative of m**6/60 + 2*m**5/45 + m**4/36 + 5*m**2 - 17*m. Let r(q) be the first derivative of f(q). Factor r(v).
2*v*(v + 1)*(3*v + 1)/3
Let g(b) be the third derivative of -5/336*b**8 - 1/14*b**7 + 7*b**2 - 1/12*b**6 + 0*b + 5/6*b**3 + 5/8*b**4 + 1/6*b**5 + 0. Determine s so that g(s) = 0.
-1, 1
Let g(j) be the second derivative of -49*j**6/10 - 1239*j**5/20 + 62*j**4 - 18*j**3 - 5*j - 3. Determine s, given that g(s) = 0.
-9, 0, 2/7
Let l(i) be the first derivative of -2*i**3/33 + 10*i**2/11 + 134. Solve l(s) = 0 for s.
0, 10
Let r(p) be the first derivative of -2*p**3/27 - 5*p**2/3 - 52*p/9 - 219. Let r(y) = 0. What is y?
-13, -2
Let f be (-2)/12*-2*(-12)/(-30). Let a(p) be the first derivative of -2/15*p**6 + f*p**3 - 1/25*p**5 - 2/5*p**2 - 5 + 2/5*p**4 - 1/5*p. Let a(m) = 0. What is m?
-1, -1/4, 1
Suppose -212 = -43*g + 42*g. Let x = -209 + g. Suppose 8/5*b + 4/5*b**x - 12/5*b**2 + 0 = 0. Calculate b.
0, 1, 2
Let v(t) = 4*t**4 - 3*t**3 - 3*t**2 - 8*t. Let d(u) = -3*u**4 + 2*u**3 + 4*u**2 + 8*u + 1. Let l(h) = -6*d(h) - 4*v(h). Factor l(b).
2*(b - 3)*(b + 1)**3
Suppose 249*q = 3*z + 251*q - 3, -2*z + 21 = -5*q. Factor 3/7*v**2 + 0 + 3/7*v**z + 0*v.
3*v**2*(v + 1)/7
Let o(y) = 15*y**4 - 15*y**3 - 12*y**2 + 6. Let x(c) = 1 - 31*c**3 + 30*c**4 - 25*c**2 + 16 - 4. Let n(d) = 13*o(d) - 6*x(d). Solve n(z) = 0 for z.
-2/5, 0, 1
Let h(p) be the third derivative of 0 + 1/30*p**6 + 2/3*p**3 + 1/5*p**5 + 12*p**2 + 0*p + 1/2*p**4. Factor h(u).
4*(u + 1)**3
Find r, given that 36*r**4 + 19*r**5 + 3*r**5 + 7*r**5 - 213*r**3 + 133 - 2*r**5 + 480*r - 421 - 42*r**2 = 0.
-3, -2, 1, 4/3
Let h be ((-2418)/(-1365))/(4/(-10)) + 5. Suppose -h*z - 4/7 - 1/7*z**2 = 0. Calculate z.
-2
Let k(i) be the second derivative of -i**5/140 + 5*i**4/28 + 20*i - 2. Let k(h) = 0. Calculate h.
0, 15
Determine c so that 2/7*c**4 + 52/7*c**2 + 2/7*c**5 - 38/7*c + 10/7 - 4*c**3 = 0.
-5, 1
Let x be (-8)/14*(-42)/36. Let l be 3 + (-1)/((-12)/(-28) + 0). Suppose -x - l*v**2 + 4/3*v = 0. What is v?
1
Let a(n) be the second derivative of -n**7/231 + 7*n**6/165 - 6*n**5/55 - 2*n**4/33 + 16*n**3/33 + 14*n. Find k such that a(k) = 0.
-1, 0, 2, 4
Let u(d) = d**3 + 10*d**2 + 20*d. Let l be u(-3). Let o(t) be the second derivative of 0*t**2 - 1/21*t**l + 0 + 1/42*t**4 + 3*t. Solve o(h) = 0.
0, 1
Let b(s) be the third derivative of 7*s**6/60 + 2*s**5/15 - 17*s**4/12 + 2*s**3 - 8*s**2 - 5*s. What is k in b(k) = 0?
-2, 3/7, 1
Let l(p) be the first derivative of p**6/165 - p**5/110 - p**4/33 - 7*p - 15. Let z(m) be the first derivative of l(m). Factor z(i).
2*i**2*(i - 2)*(i + 1)/11
Find z such that -14/13*z + 0 + 2/13*z**2 = 0.
0, 7
Let k be 14/(-21)*-1 - 0. Let m(j) be the second derivative of 0*j**2 + 9/5*j**5 - 2/3*j**6 - 4*j + 0 + 5/3*j**4 - k*j**7 - 4/3*j**3. What is h in m(h) = 0?
-1, 0, 2/7, 1
Let p(t) be the second derivative of -t**7/147 + 3*t**5/70 - t**4/21 - 103*t. Factor p(c).
-2*c**2*(c - 1)**2*(c + 2)/7
Factor 0 + 13/3*q - 1/3*q**2.
-q*(q - 13)/3
Factor -12*w - 196*w**3 + 73*w**3 + 102*w**3 - 15*w - 48*w**2.
-3*w*(w + 1)*(7*w + 9)
Suppose -2/9*u**5 + 4/3*u**3 - 8*u**2 + 6*u + 8/9*u**4 + 0 = 0. What is u?
-3, 0, 1, 3
Let p(l) be the second derivative of l**6/30 + l**5/5 - l**4/4 - 3*l**3 - 131*l. Find d such that p(d) = 0.
-3, 0, 2
Suppose -198 = -2*h - 54. Let g be (-48)/h*(-6)/16. What is o in -g + 1/2*o**3 + o - 5/4*o**2 = 0?
1/2, 1
Let x = 960 + -960. Factor 5/2*m + 0 - 5/2*m**3 + x*m**2.
-5*m*(m - 1)*(m + 1)/2
Let u(y) be the third derivative of 64/45*y**3 + y**2 + 0 + 1/450*y**5 + 0*y - 4/45*y**4. Factor u(g).
2*(g - 8)**2/15
Let y(n) = n**3 + 12*n**2 + 13*n + 13. Let c be y(-10). Let o = c + -83. Find b, given that 2/5*b**5 - 2/5*b**4 + o*b**2 + 0 - 4/5*b**3 + 0*b = 0.
-1, 0, 2
Suppose 7*r + 48 - 48 = 0. Let l(v) be the third derivative of 0 - 1/90*v**5 + r*v + 0*v**3 - 6*v**2 + 1/72*v**4 + 1/360*v**6. Factor l(z).
z*(z - 1)**2/3
Let v(a) be the first derivative of -a**4/32 + a**3/8 + 9*a**2/16 - 20*a + 24. Let i(h) be the first derivative of v(h). Find u such that i(u) = 0.
-1, 3
Let n(z) = z**4 + 2*z. Let h(g) = -5*g**4 - 6*g**3 - 12*g. Let p(r) = -h(r) - 6*n(r). Determine l so that p(l) = 0.
0, 6
Let f(u) be the first derivative of 2/7*u + 8 - 1/14*u**2 - 1/21*u**3. Let f(c) = 0. Calculate c.
-2, 1
Factor 0*x**2 + 0 - 8/17*x + 6/17*x**3 + 2/17*x**4.
2*x*(x - 1)*(x + 2)**2/17
Let h(b) be the second derivative of b**7/2 + 17*b**6 + 627*b**5/20 + 23*b**4/2 - 204*b. Suppose h(k) = 0. Calculate k.
-23, -1, -2/7, 0
Let b(y) be the second derivative of 7/12*y**3 + 0 - 1/2*y**2 - 7/40*y**5 + 1/12*y**4 - 4*y. Determine c so that b(c) = 0.
-1, 2/7, 1
Let w(i) be the third derivative of -147*i**8/16 + 1771*i**7/15 - 85981*i**6/270 - 34214*i**5/45 - 5360*i**4/9 - 6400*i**3/27 - 4*i**2 - 27. Factor w(t).
-(7*t + 2)**3*(9*t - 40)**2/9
Find c such that 8*c**4 - 44/3*c + 0*c**2 + 4/3*c**5 + 40/3*c**3 - 8 = 0.
-3, -2, -1, 1
Let z(b) be the second derivative of -b**7/1260 - b**6/270 + b**5/180 + b**4/18 + 17*b**3/3 - 44*b. Let t(h) be the second derivative of z(h). Factor t(r).
-2*(r - 1)*(r + 1)*(r + 2)/3
Factor -18*f**3 + 91*f**4 - 9 - 235*f**4 + 123*f**4 + 3*f + 30*f**2 + 15*f**5.
3*(f - 1)**3*(f + 1)*(5*f + 3)
Let n be (-90)/(-20)*(-6)/(-36). Solve -n*b + 27/8*b**3 + 0 - 21/8*b**2 = 0 for b.
-2/9, 0, 1
Let g(a) be the second derivative of -a**4/54 - 13*a**3/27 - 40*a**2/9 + 2*a - 28. Suppose g(y) = 0. Calculate y.
-8, -5
Determine a, given that 0 + 0*a - 2/3*a**4 + 4/3*a**3 - 2/3*a**2 = 0.
0, 1
Let z(t) be the second derivative of t**5/70 + t**4/14 - 69*t. Suppose z(j) = 0. What is j?
-3, 0
Find l, given that -2 + 35/3*l - 5/3*l**3 - 8*l**2 = 0.
-6, 1/5, 1
Let y(n) be the second derivative of 25*n**4 - 215*n**3/6 - 85*n**2/2 + 10*n. Let k(l) = -25*l**2 + 18*l + 7. Let f(z) = -25*k(z) - 2*y(z). Factor f(m).
5*(m - 1)*(5*m + 1)
Let b(k) be the third derivative of k**8/504 - 109*k**7/63 + 5576*k**6/9 - 1017280*k**5/9 + 88040960*k**4/9 - 342102016*k**3/9 + 2*k**2 - 185*k. Factor b(d).
2*(d - 136)**4*(d - 1)/3
Let t(m) = 10*m**2 - 1. Let u be t(4). Let i = u + -311/2. Solve 1 - 9/2*l**2 - i*l = 0.
-1, 2/9
Let 228*v - 5*v**2 - 220*v + 2*v**2 - 4*v**2 - v**3 = 0. Calculate v.
-8, 0, 1
Let y(a) = 2*a + 16. Let x be y(-8). Suppose 6*j - 11*j + 15 = x. Suppose -6*n**3 - 6*n**j + 4*n**4 + 57*n**2 - 49*n**2 = 0. Calculate n.
0, 1, 2
Let b(k) be the first derivative of -1 - k + 0*k**2 - 1/60*k**4 - 1/15*k**3. Let u(h) be the first derivative of b(h). Factor u(o).
-o*(o + 2)/5
Let h(m) = -3*m + 3*m - 2*m - 1 + m. Let s(x) = -x**2 - 6*x - 6. Let i(d) = -2*h(d) + s(d). Suppose i(g) = 0. Calculate g.
-2
What is w in -3/2*w**2 - 249/2*w + 126 = 0?
-84, 1
Let z(p) = p**2 + p. Let j = 10 + -9. Let m be z(j). Find u such that -m + 3*u**2 + 8 - 12*u + 6 = 0.
2
Let x be (0 - 0)*14/28. Let j(z) be the second derivative of -2/3*z**3 + x + z**2 + 1/6*z**4 - 4*z. Determine t so that j(t)