(-2*15). Suppose k*g - 5/4*g**3 - 3/4*g**2 + 0 = 0. Calculate g.
-1, 0, 2/5
Let s(h) be the third derivative of -h**7/560 + h**6/32 - 23*h**5/160 + 7*h**4/32 + 2*h**2 + 107*h. Determine q, given that s(q) = 0.
0, 1, 2, 7
Suppose -9*y + 2 = -8*y. Let l(v) be the first derivative of 0*v + 3/4*v**4 + 3*v**2 - 3*v**3 + y. Factor l(b).
3*b*(b - 2)*(b - 1)
Let d be 21/(-75) - (-3)/10. Let c(s) be the second derivative of -1/30*s**4 + 2*s + 0 + 0*s**2 + 0*s**3 - d*s**5. Let c(y) = 0. Calculate y.
-1, 0
Let v(o) be the first derivative of o**5/120 + o**4/18 + 5*o**3/36 + o**2/6 + 10*o + 2. Let t(h) be the first derivative of v(h). Find q, given that t(q) = 0.
-2, -1
Let w(g) be the third derivative of 0*g**3 + 0 + 0*g + 0*g**4 - 1/60*g**5 + 15*g**2. Factor w(d).
-d**2
Suppose 0 = -w - 4*f + 6, 5*f - 1 = -w + 3*w. Suppose -87 + w = -5*z - 5*g, -4*z + g = -93. Let 1 + 1 - 18*s**2 - 3*s**4 - 2*s - z*s**3 - 5*s**4 = 0. What is s?
-1, 1/4
Suppose -5*j - 4*b - 1 = 0, 4*j = -116*b + 120*b + 28. Determine h so that -10/11*h**5 - 8/11*h**j + 24/11*h**4 - 20/11*h**2 - 4/11 + 18/11*h = 0.
-1, 2/5, 1
Let n(z) be the first derivative of z**3 + 57*z**2 + 1083*z - 122. Factor n(m).
3*(m + 19)**2
Let s(q) be the second derivative of 6/5*q**2 + 1/20*q**4 + 0 + 2/5*q**3 + 22*q. Let s(l) = 0. What is l?
-2
Let k(t) = t - 2. Suppose -5*m + 26 = 6. Let a be k(m). Determine n so that -3*n**2 + n**4 + 2*n**2 + 0*n**a = 0.
-1, 0, 1
Let t(g) be the second derivative of g**5/10 - 22*g**4/3 + 85*g**3/3 - 42*g**2 + 14*g + 9. Factor t(w).
2*(w - 42)*(w - 1)**2
Let b(r) be the second derivative of -r**6/45 - r**5/10 - 3*r**4/16 - 19*r**3/6 - 8*r. Let t(w) be the second derivative of b(w). Find j, given that t(j) = 0.
-3/4
Let c be 257/(-655)*(3 - 0). Let d = 3/131 - c. Factor -36/5*r**2 - 9/5*r - 21/5*r**3 + d.
-3*(r + 1)**2*(7*r - 2)/5
Suppose 3*l + l = 12. Suppose -v + 5 = -l. Factor -2 + v*c - 94*c**2 + 90*c**2 - 2.
-4*(c - 1)**2
What is f in 19/2*f - 15/2*f**4 + 9*f**2 - 13*f**3 + 7/2*f**5 - 3/2 = 0?
-1, 1/7, 1, 3
Let j(v) = -20*v**4 - 44*v**3 + 16*v**2 - 24. Let p(m) = m**4 + m**2 + 1. Let k(w) = -j(w) - 24*p(w). Factor k(a).
-4*a**2*(a - 10)*(a - 1)
Let b(a) = a**2 - 8*a - 1. Let u(c) = 14*c**2 - 180*c - 188. Let j(w) = -12*b(w) + u(w). Factor j(q).
2*(q - 44)*(q + 2)
Suppose -5*p + 26 = -16*d + 14*d, -15 = 5*d. Let j(w) be the first derivative of 7/15*w**3 - 1/5*w**2 + 0*w + p. Factor j(v).
v*(7*v - 2)/5
Let 27*t - 21*t**2 - 3*t**3 - 4*t**5 - 21*t**3 + t**5 - 90*t**4 + 3*t**2 + 108*t**4 = 0. What is t?
-1, 0, 1, 3
Let g(v) be the third derivative of v**8/168 - v**7/105 - v**6/5 - 2*v**5/15 + 4*v**4/3 + 374*v**2. Let g(a) = 0. Calculate a.
-2, 0, 1, 4
Suppose 0 = 8*g - 3*g - 10, -2*k + 138 = 3*g. Suppose 10*t = k - 36. Find q such that 15/4*q**2 + t + 3/4*q**3 + 6*q = 0.
-2, -1
Let t(c) = 65*c**2 - 1840*c + 21160. Let a(u) = -8*u**2 + 230*u - 2645. Let q(l) = 25*a(l) + 3*t(l). Factor q(p).
-5*(p - 23)**2
Let k(g) = 3*g + 32. Let q be k(-10). What is y in 2 - 3*y - q + 27*y**2 = 0?
0, 1/9
Let y(i) be the third derivative of -i**8/4032 + i**7/360 + 41*i**6/1440 + 37*i**5/720 - 5*i**4/36 - 11*i**3/18 + 43*i**2 - 4. What is w in y(w) = 0?
-2, -1, 1, 11
Let n(x) be the second derivative of x**5/20 - x**4/2 + 3*x**3/2 + 2*x - 47. Find i, given that n(i) = 0.
0, 3
Let c(f) be the second derivative of f**5/70 - 10*f**4/21 + 100*f**3/21 + 216*f. Suppose c(p) = 0. Calculate p.
0, 10
Suppose 1857*z + 19 = 5*d + 1855*z, -z = -3*d + 11. Factor 147/2*b**d + 63*b**2 + 27/2*b + 0.
3*b*(7*b + 3)**2/2
Factor 484*t - 10648/3 + 1/3*t**3 - 22*t**2.
(t - 22)**3/3
Suppose 5*k = 11*k - 36. Let c(o) be the first derivative of 1/3*o**3 - o**2 + o + k. Determine f so that c(f) = 0.
1
Suppose -33*r + 228 = 5*r. Let q(j) be the second derivative of -1/15*j**6 + r*j + 0*j**3 + 0 + 1/3*j**4 + 0*j**2 - 1/10*j**5. Solve q(v) = 0 for v.
-2, 0, 1
Let u be 5 + -4 + 0 + -4. Let x(z) = 6*z**3 + 6*z**2 - 6*z. Let c(j) = -j**3 - j. Let v(y) = u*c(y) - x(y). Find p, given that v(p) = 0.
-3, 0, 1
Let b(q) be the second derivative of -q**7/2520 + q**6/180 - q**5/30 + 7*q**4/12 + 26*q. Let z(n) be the third derivative of b(n). Factor z(v).
-(v - 2)**2
Let n be ((-21)/(-18) - 2)*(27/45)/(-3). Find p, given that 1/6*p**3 + 1/6*p**2 - n*p**4 - 1/6*p + 0 = 0.
-1, 0, 1
Determine f, given that -1 + 0*f**2 + 2*f**2 + 9 + 2*f - 12*f = 0.
1, 4
Suppose -3*n = -4*u - 2*n + 3, -3*u + 5*n + 15 = 0. Let f(c) be the first derivative of u*c + 1/2*c**3 + 2 - 1/6*c**2 - 1/2*c**4 + 1/6*c**5. Factor f(h).
h*(h - 1)**2*(5*h - 2)/6
Let g(h) be the first derivative of -3*h**5/5 - 15*h**4/2 - 29*h**3 - 12*h**2 + 144*h - 46. Factor g(v).
-3*(v - 1)*(v + 3)*(v + 4)**2
Suppose -75*s + 9*s = -330. Let f(b) be the second derivative of 0*b**2 + 0*b**3 + 1/20*b**s + 1/15*b**6 - 13*b + 0 - 1/12*b**4. What is q in f(q) = 0?
-1, 0, 1/2
Let h(n) = 8*n - 11. Let f be h(2). Suppose 0 = -c, f*t = 3*c - 5*c. Factor 2/3*r**2 + t - 4/3*r**3 - 2/3*r**4 + 4/3*r.
-2*r*(r - 1)*(r + 1)*(r + 2)/3
Let d be 2/6*-2 - 14/(-12). Factor d*i + 0 - 1/4*i**4 + i**3 - 5/4*i**2.
-i*(i - 2)*(i - 1)**2/4
Let z(n) be the first derivative of n**6/540 - n**5/90 - 11*n**3/3 + 4. Let y(k) be the third derivative of z(k). What is o in y(o) = 0?
0, 2
Let g(h) = -3*h**3 - h - 2. Let p be g(-1). Let -14*a**3 + 7*a**5 + 12*a**3 + 5*a**5 + 8*a**3 - 3*a**p + 21*a**4 = 0. Calculate a.
-1, 0, 1/4
Let k(s) be the second derivative of -s**4/16 + 95*s**3/8 - 141*s**2/4 + 4*s - 24. Factor k(o).
-3*(o - 94)*(o - 1)/4
Let h(o) be the second derivative of -o**7/1960 - o**6/420 - o**5/280 - 7*o**3/3 + 18*o. Let z(g) be the second derivative of h(g). Factor z(m).
-3*m*(m + 1)**2/7
Let g = 201 + -235. Let s be (-14)/20 - 51/g. Factor 0 + 0*j - s*j**2 - 18/5*j**3.
-2*j**2*(9*j + 2)/5
Solve 395*s**3 - 87880 + 54767*s - 4608*s**2 - 5*s**4 - 5922*s**2 + 43253*s = 0.
1, 26
Let h be (-3)/(-1)*(-3)/27*151. Let i = h - -167/3. Factor 16/3*x + i - 4*x**2.
-4*(x - 2)*(3*x + 2)/3
Let g(d) be the third derivative of -3*d**7/280 + 43*d**6/80 - 7*d**5/10 + 33*d**2. Solve g(b) = 0.
0, 2/3, 28
Let x = 17644 - 17642. Find d, given that 1/3*d**2 + 5/3*d + x = 0.
-3, -2
Let a(y) be the second derivative of -y**5/5 - 2*y**4/3 + 14*y**3/3 - 8*y**2 + 11*y. Factor a(h).
-4*(h - 1)**2*(h + 4)
Find l such that 0*l + 0 - 3/8*l**3 - 15/8*l**2 = 0.
-5, 0
Let g(o) be the third derivative of o**5/180 + 13*o**4/36 + 169*o**3/18 - 98*o**2 + 2. Determine l, given that g(l) = 0.
-13
Factor 78 - 145*y + 251 - 130*y**2 + 5*y**3 - 59 + 0*y.
5*(y - 27)*(y - 1)*(y + 2)
Let m(s) = 17 - s**2 + 90*s - 173*s + 97*s. Let b be m(12). Solve 41*g - b*g + 5*g**2 = 0 for g.
0
Let p(v) = -v - 5. Let w be p(-7). Find h, given that -3*h**w - 1 + 11*h + 0 + 2*h**2 - 13*h = 0.
-1
Let v(f) = f**2 - f - 1. Let o(t) = 3*t**2 + 1 - 1 + t. Let w be (-25)/(-4) + -6*(-1)/(-24). Let d(c) = w*v(c) - 3*o(c). Factor d(z).
-3*(z + 1)*(z + 2)
Let j(v) = 1. Suppose 3*m + 9 = 2*m. Let q(g) = 0*g**3 + 7 + 2 - 3*g**4 + 9*g - 21*g**2 + 15*g**3. Let r(h) = m*j(h) + q(h). Determine d, given that r(d) = 0.
0, 1, 3
Let s be 1/(((-26)/(-8))/((-208)/(-32))). Solve 0*z**3 - 3*z + 9/2*z**s - 3/2*z**4 + 0 = 0 for z.
-2, 0, 1
Let p(c) be the first derivative of -5*c**4/12 + c**3/2 + c**2 - 29*c + 16. Let d(o) be the first derivative of p(o). Factor d(r).
-(r - 1)*(5*r + 2)
Let j(x) = 11*x**4 + 3*x**3 + 24*x**2 - 10*x - 7. Let b(w) = -8*w**4 - 2*w**3 - 17*w**2 + 7*w + 5. Let q(c) = 7*b(c) + 5*j(c). Factor q(k).
-k*(k - 1)**2*(k + 1)
Let u be (-2)/(-7) + (-8)/(-21). Let l = 5352 + -5350. Determine j so that -u - j - 1/3*j**l = 0.
-2, -1
Let w = 1644 - 1644. Factor p + 2*p**3 + w + 5/2*p**2 + 1/2*p**4.
p*(p + 1)**2*(p + 2)/2
Let r be (-5)/(-1) - (-15 - (-1452)/96)*26. Determine t, given that 3/2*t + r - 1/4*t**2 = 0.
-1, 7
Let u be ((-21)/1)/(4 + (-390)/95) + 3. Find s such that 100*s**2 + 585/2*s**3 + u*s**4 + 10*s + 0 = 0.
-1, -2/9, 0
Let a(j) be the first derivative of j**6/36 - 7*j**5/10 + 151*j**4/24 - 145*j**3/6 + 124*j**2/3 - 32*j - 22. Find l such that a(l) = 0.
1, 3, 8
Find c such that 26*c**2 + 56*c - 185*c + 65*c - 8*c - 2*c**3 = 0.
0, 4, 9
Find a such that 2/3*a**4 + 0 - 98/3*a**2 + 0*a + 0*a**3 = 0.
-7, 0, 7
Let u be -1*((-56)/12)/14. Determine y so that -u*y + 2/3*