s.
-4, -2, 1
Let c(y) = 2*y**2 - 209*y + 804. Let k be c(4). Find z such that -6/5*z**2 + k + 0*z - 3/5*z**3 + 3/5*z**4 = 0.
-1, 0, 2
Determine l, given that 100/7*l**5 + 464/7*l**2 - 72*l**3 - 96/7*l - 180/7*l**4 + 0 = 0.
-2, 0, 2/5, 3
Let d(l) be the second derivative of 3/25*l**5 + 1/105*l**7 + 0*l**2 + 1/15*l**3 - 9*l - 2/15*l**4 + 0 - 4/75*l**6. Suppose d(b) = 0. What is b?
0, 1
Let c = 89 + -87. Let f be (3 - 1)/(c - (-8)/(-9)). Determine j, given that -3/5 + 9/5*j + 3/5*j**2 - f*j**3 = 0.
-1, 1/3, 1
Let s be (25 - 23)*4/6. Factor -2/3*l**2 - s*l + 0 + 2/3*l**4 + 4/3*l**3.
2*l*(l - 1)*(l + 1)*(l + 2)/3
Let u(z) = z**3 - z**2 - 9*z + 4. Let x be u(0). Find k, given that 12*k + 16/3 - 3*k**x - 4/3*k**2 - 13*k**3 = 0.
-4, -2/3, 1
Let j(s) be the second derivative of -s**7/168 + s**6/120 + s**5/16 - s**4/48 - s**3/3 - s**2/2 + 2*s + 84. Suppose j(t) = 0. What is t?
-1, 2
Let x(h) be the first derivative of -242*h**3/3 - 66*h**2 - 18*h - 177. Let x(c) = 0. Calculate c.
-3/11
Let q(n) = 14*n**2 + 128*n - 116. Let i be q(-10). Suppose -18/13*p**2 - 14/13*p - 2/13*p**i - 10/13*p**3 - 4/13 = 0. What is p?
-2, -1
Let o(i) = -7*i**5 + 4*i**4 + 17*i**3 + 15*i**2 - 3*i - 3. Let x(j) = -13*j**5 + 8*j**4 + 35*j**3 + 29*j**2 - 5*j - 5. Let n(m) = -5*o(m) + 3*x(m). Factor n(w).
-4*w**2*(w - 3)*(w + 1)**2
Suppose -4*l + 39 = a + 14, -4*l + 40 = -4*a. Let n(c) be the second derivative of 1/2*c**4 - l*c - 3/2*c**2 - 1/2*c**3 + 0. Factor n(k).
3*(k - 1)*(2*k + 1)
Let k = -61 - -46. Let p be 9/k*15/(-4). Factor -p*n - 3/4*n**2 - 3/2.
-3*(n + 1)*(n + 2)/4
Let a(n) = -2*n**2 - 163*n + 510. Let q be a(3). Suppose 149/2*f**2 - 1/4*f**5 - 69/2*f**q + 21/4*f**4 - 261/4*f + 81/4 = 0. Calculate f.
1, 9
Let j(v) be the third derivative of v**7/630 - 13*v**5/180 - v**4/6 + 54*v**2 - 2*v. Factor j(g).
g*(g - 4)*(g + 1)*(g + 3)/3
Let h(r) be the first derivative of 4*r**5/35 - r**4/7 - 40*r**3/21 - 16*r**2/7 - 45. Factor h(l).
4*l*(l - 4)*(l + 1)*(l + 2)/7
Let t(q) be the second derivative of q**6/45 + 10*q**5/3 + 197*q**4/18 + 98*q**3/9 + 347*q. Let t(l) = 0. What is l?
-98, -1, 0
Let w(b) = -b**3 - 7*b**2 + 7*b. Let y be w(-8). Determine n, given that -36*n - 8 + 4*n**3 + 17*n + y*n**2 + 15*n = 0.
-2, -1, 1
Suppose 1/3*m**5 + 0*m**2 + 0*m - 2/3*m**4 + 0 + 1/3*m**3 = 0. Calculate m.
0, 1
Suppose 0 = 3*m + m - 2*m. Let w be (-8)/(-4)*(1 - (m + 0)). Factor 17/2*q**w - 2 + 0*q + 9*q**3 + 5/2*q**4.
(q + 1)**2*(q + 2)*(5*q - 2)/2
Let j(u) be the second derivative of -u**4/4 - 7*u**3/2 - 15*u**2 + 105*u. Determine g, given that j(g) = 0.
-5, -2
Let k = 4607/21 - 2028/7. Let o = k - -71. Factor 0*w + 0*w**2 + 0 + o*w**4 - 2/3*w**3.
2*w**3*(w - 1)/3
Let b(x) be the first derivative of 232/7*x**5 + 260/21*x**3 + 37/14*x**2 + 2/7*x + 20 + 841/28*x**4 + 200/21*x**6. Let b(y) = 0. What is y?
-2, -1/4, -1/5
Let c(k) be the second derivative of 5*k**7/42 + k**6/3 + 5*k**5/16 + 5*k**4/48 - 30*k. Factor c(t).
5*t**2*(t + 1)*(2*t + 1)**2/4
Let t(d) = -28*d**3 - 13*d**2 + 77*d + 17. Let r(s) = 259*s**3 - 12 + 1 - 240*s**3 + 9*s**2 - 51*s. Let m(w) = 7*r(w) + 5*t(w). Factor m(p).
-(p - 2)*(p + 2)*(7*p + 2)
Factor -258 + 2*y - 14*y + 2*y**2 + 3*y - 48*y - 23*y.
2*(y - 43)*(y + 3)
Let t(n) be the third derivative of 3*n**6/4 + 11*n**5/10 - 14*n**4/15 + 4*n**3/15 - 294*n**2. Factor t(k).
2*(k + 1)*(15*k - 2)**2/5
Find k such that -9725*k**2 - 15625/2 - 1/2*k**5 - 1013*k**3 - 33125/2*k - 77/2*k**4 = 0.
-25, -1
Suppose 5*c + q = 15, 378*q - 27 = -3*c + 381*q. Determine o, given that 1/11*o**3 - 17/11*o**2 + 2/11 + 15/11*o**c - 1/11*o = 0.
-1, -2/5, 1/3, 1
Let d(z) = z**2 - 2*z - 1. Let y be d(5). Suppose 7*a - a**2 + 2*a**2 - 8 + y = 0. What is a?
-6, -1
Let b = 158 + -154. Suppose -b = -4*j + 4. Determine d, given that 18/5 + 10*d**j + 12*d = 0.
-3/5
Let k be (7/((-196)/(-7)))/(1/20). Suppose -5 = 5*l - 7*l - o, 0 = -5*o + k. Determine x so that 0 - 4/5*x**l - 2/5*x**3 + 0*x = 0.
-2, 0
Let a(t) be the third derivative of -3*t**7/80 - 37*t**6/320 + 77*t**5/160 - 7*t**4/64 - 3*t**3/4 - t**2 + 123. Suppose a(d) = 0. What is d?
-3, -1/3, 4/7, 1
Let j = -3/10 - -29/30. Let w = j - 0. Factor 2/3*o**3 + w*o**2 + 0*o + 0.
2*o**2*(o + 1)/3
Let y be ((-6)/21 + (-9)/189)*-9. Determine o so that 0 - 10/9*o**2 + 4/9*o**4 - 4/9*o - 2/9*o**y = 0.
-1, -1/2, 0, 2
Let p(u) = 2*u**2 + u - 4. Let j(g) = 55*g**2 - 45*g + 65. Let c(l) = j(l) - 25*p(l). Find h such that c(h) = 0.
3, 11
Suppose 4*h + 5*s - 4 = 12, -4 = -h + s. Suppose -f + a - 5 = -h*f, 5*f = 2*a + 12. Factor 1/3*m + 0 - 2/3*m**4 + 2/3*m**f + 0*m**3 - 1/3*m**5.
-m*(m - 1)*(m + 1)**3/3
Let y be 2/(((-98)/(-35))/7). Let c(a) be the third derivative of -1/140*a**7 + 0*a**3 + 0 - 6*a**2 - 1/12*a**4 + 7/240*a**6 + 0*a**y + 0*a. Factor c(m).
-m*(m - 2)*(m - 1)*(3*m + 2)/2
Let a(b) be the first derivative of b**3/12 + 3*b**2 + 36*b + 62. What is p in a(p) = 0?
-12
Let r(p) = -p**3 + 176*p**2 + 355*p + 169. Let b(t) = -3*t**3 + 352*t**2 + 713*t + 337. Let h(c) = -3*b(c) + 7*r(c). Suppose h(a) = 0. What is a?
-86, -1
Suppose -48*g - 8 + 4*g**2 + 9 - 5 + 48 = 0. Calculate g.
1, 11
Determine j, given that 21*j**4 - 50*j + 637*j - 204*j**3 + 830*j + 192*j**2 + 167*j + 432 = 0.
-2, -2/7, 6
Solve -2/5*w**4 + 2/5*w**5 - 2*w**3 + 2*w**2 + 8/5*w - 8/5 = 0 for w.
-2, -1, 1, 2
Determine q, given that -1/6*q - 1/3 + 1/6*q**2 = 0.
-1, 2
Let l(s) be the third derivative of 161/60*s**6 - 67/15*s**5 + 0 - 49/24*s**8 - 8/3*s**3 + 3*s**2 + 0*s + 56/15*s**7 - 17/3*s**4. Factor l(b).
-2*(b - 1)**2*(7*b + 2)**3
Let z = -1 + 35. Let r(l) = -5*l**5 + 5*l**4 + 17*l**3 - 17*l**2 - 17. Let q(a) = a**5 - a**4 - 3*a**3 + 3*a**2 + 3. Let s(t) = z*q(t) + 6*r(t). Factor s(o).
4*o**4*(o - 1)
Let t(x) be the first derivative of 1/6*x**3 + 0*x**4 + 10 - 5/2*x**2 - 1/60*x**5 + 0*x. Let n(b) be the second derivative of t(b). Suppose n(h) = 0. What is h?
-1, 1
Let f be 5/(-15)*(5 + -7). Suppose -229 = -13*m - 190. Suppose 0 + f*z**2 - 1/3*z - 1/3*z**m = 0. What is z?
0, 1
Let t(q) be the first derivative of -5*q**3/4 + 13*q**2/4 + 2*q - 138. What is k in t(k) = 0?
-4/15, 2
Suppose 0*p + 2*p + 0*p = 0. Let i(f) be the first derivative of 1/4*f**4 + 0*f**5 - 1/4*f**2 - 1 + 0*f - 1/12*f**6 + p*f**3. Determine c so that i(c) = 0.
-1, 0, 1
Let q(i) be the first derivative of -1 - 7/2*i**2 + 3*i + 5/3*i**3 - 1/4*i**4. Factor q(p).
-(p - 3)*(p - 1)**2
Let m(u) be the third derivative of 5/6*u**4 - 4/3*u**3 - 2/15*u**5 + 0*u - 13*u**2 + 0. Suppose m(d) = 0. Calculate d.
1/2, 2
Let k = 1594 + -1591. Factor -2/3*w**k - 2/3*w**2 + 2/3*w + 0 + 2/3*w**4.
2*w*(w - 1)**2*(w + 1)/3
Let b(t) be the second derivative of 2*t**7/21 + 2*t**6/5 - t**5/5 - t**4 + 238*t. Factor b(w).
4*w**2*(w - 1)*(w + 1)*(w + 3)
Let v be (5 - 3) + 0/3. Determine o, given that o**4 + 10*o**3 - 6*o**4 + 5*o**v - 17*o + 7*o = 0.
-1, 0, 1, 2
Let -15/4 - 3/2*k**3 + 5/4*k**4 + 1/4*k**5 - 19/2*k**2 - 43/4*k = 0. What is k?
-5, -1, 3
Let f(m) be the third derivative of 0*m**3 - 6*m**2 + 5/32*m**4 + 0*m + 1/48*m**5 + 0. Solve f(c) = 0.
-3, 0
Let x(i) be the third derivative of i**6/810 - 2*i**5/135 + i**4/18 + 8*i**3/3 - 2*i**2. Let y(k) be the first derivative of x(k). Suppose y(n) = 0. What is n?
1, 3
Suppose 5*r - 30 = 0, 12*a = 14*a + 2*r - 12. Factor 5/4*v**5 + a - 15/4*v**3 - 5/2*v**2 + 0*v + 0*v**4.
5*v**2*(v - 2)*(v + 1)**2/4
Let u(t) = 5 - t - 22 + 11. Let d be u(-8). Find j, given that -4 - 7*j**d - 6*j + 11*j**2 - 6*j**2 = 0.
-2, -1
Let r(p) be the first derivative of -7 + 9*p**3 + 6*p + 3*p**4 + 27/2*p**2 + 2/5*p**5. Let j(z) be the first derivative of r(z). Determine q so that j(q) = 0.
-3/2
Let g(r) be the second derivative of -r**5/4 + 25*r**4/6 - 15*r**3/2 - 84*r. Factor g(d).
-5*d*(d - 9)*(d - 1)
Let -35*y**2 + 2195*y**4 - 12*y - 2203*y**4 - 64*y**3 - 21*y**2 + 12*y**5 = 0. Calculate y.
-1, -1/3, 0, 3
Suppose 2*k - 6*q = -2*q + 26, -5*k + 3*q + 30 = 0. Factor 10*r**3 + 15*r**4 - 19*r**2 + 0*r**k + 8 - 26*r**2 + 12.
5*(r - 1)**2*(r + 2)*(3*r + 2)
Let k(f) = f**2 + 5*f - 12. Let l be k(-9). Determine v, given that 14*v**4 - l*v**4 + 2*v + 15*v**3 + 20*v**2 - 9*v - 5*v**5 - 13*v = 0.
-2, 0, 1
Let v(d) be the second derivative of d**7/42 - d**6/10 + d**4/3 + 48*d. Factor v(n).
n**2*(n - 2)**2*(n + 1)
Let y(d) = d**3 + d + 