-2*h + 109 - 103. Determine t so that -2*t**3 - 3*t**5 + 72*t**2 - 14*t**3 + 108*t - 18*t**4 + 4*t**h - 3*t**3 = 0.
-3, -2, 0, 2
Let l(f) be the first derivative of -34 - 2/9*f**3 + 16/7*f - 82/21*f**2. Find k such that l(k) = 0.
-12, 2/7
Find c, given that 26/3*c**2 + 0*c + 0 - 9*c**3 + 1/3*c**4 = 0.
0, 1, 26
Let j(n) be the third derivative of n**8/560 - 3*n**7/70 + 3*n**6/8 - 29*n**5/20 + 3*n**4 - 18*n**3/5 - 3407*n**2. Suppose j(w) = 0. What is w?
1, 6
Let 0 + 320/13*v - 2/13*v**2 = 0. What is v?
0, 160
Let j(w) be the second derivative of -14641*w**4/30 - 8228*w**3/15 - 1156*w**2/5 - 2903*w. Find t, given that j(t) = 0.
-34/121
Let k be (-8168)/(40/(-5)) - -3. Let -3586*o + 16000*o**2 + 3078*o - 30844*o**3 + k + 12500*o**4 + 10844*o**3 - 3125*o**5 - 5892*o = 0. Calculate o.
4/5
Factor -585 - 633/4*q - 3*q**2.
-3*(q + 4)*(4*q + 195)/4
Let j(i) be the first derivative of 1/5*i**4 - 110 - 8/15*i**3 + 0*i + 2/5*i**2. Determine b so that j(b) = 0.
0, 1
Let n(x) be the third derivative of -1/6*x**5 - 3*x**2 - 1/20*x**6 + 0*x + 6 + 1/168*x**8 - 1/6*x**4 + 1/105*x**7 + 0*x**3. Determine c, given that n(c) = 0.
-1, 0, 2
Let q(j) = 128*j**3 + 53*j**2 + 280*j + 238. Let y(h) = -57*h**3 - 26*h**2 - 139*h - 118. Let p(l) = 4*q(l) + 9*y(l). Find b, given that p(b) = 0.
-11, -10, -1
Let c = -212588 - -212588. Let 0*i + c + 0*i**2 + 40/7*i**3 - 4*i**4 + 4/7*i**5 = 0. Calculate i.
0, 2, 5
Solve -3/2*i**2 - 198 - 42*i = 0 for i.
-22, -6
Let h(v) be the second derivative of -38/3*v**3 + 2/15*v**6 + 48*v + 12*v**2 + 7*v**4 - 9/5*v**5 + 0. Find c, given that h(c) = 0.
1, 6
Let z(a) = -916*a + 193330. Let r be z(211). Let -1352/3 - r*s**2 - 312*s = 0. Calculate s.
-26/9
What is h in -1/4*h**3 - 9/4*h**2 - 5*h - 3 = 0?
-6, -2, -1
Let x = 56 + -368. Let l be 31/(3348/x) + (-6)/(-2). Find o, given that l*o**3 + 0 - 1/9*o**2 + 0*o = 0.
0, 1
Let v be (0 - -1 - 4)*44847/(-11627). What is j in -36*j - 6/7*j**3 - 21 + v*j**2 = 0?
-1/2, 7
Suppose -300 = -47*x + 37*x. Factor -x*u**3 + 14 + 44*u**2 + 0*u**4 + 14*u**3 + u**4 + 4 + u**4 - 48*u.
2*(u - 3)**2*(u - 1)**2
Let s = -261 + 264. Solve -5*m**s - 10*m**4 + 8*m + 2*m**2 + 8*m**2 - m**3 - 2*m**5 = 0 for m.
-4, -1, 0, 1
Let t(b) be the second derivative of b**6/75 + 7*b**5/10 + 149*b**4/30 - 7*b**3/3 - 30*b**2 - 7*b - 118. Let t(v) = 0. Calculate v.
-30, -5, -1, 1
Let r = 379 - 196. Solve 4*p**2 + 188*p**3 + 18*p**2 + 8*p**2 - r*p**3 - 5*p - 30 = 0 for p.
-6, -1, 1
Let z(a) be the third derivative of 0*a - 576/5*a**3 - 1/450*a**5 + 1 - 4/5*a**4 - 29*a**2. Solve z(d) = 0 for d.
-72
Let z(o) be the second derivative of 0 + 1/126*o**7 - 1/30*o**5 + 1/90*o**6 - 155*o + 0*o**2 + 0*o**4 + 0*o**3. Solve z(w) = 0 for w.
-2, 0, 1
Suppose 3*n = 2*l + 36, n = -457*l + 461*l + 62. Factor -8*m - 96/5 - 4/5*m**n.
-4*(m + 4)*(m + 6)/5
Let 614/5*o**3 + 40 + 16/3*o + 14/15*o**5 - 2234/15*o**2 - 302/15*o**4 = 0. Calculate o.
-3/7, 1, 10
Let m = -20391/10 + 20439/10. Determine a, given that -16/5*a + 26/5*a**4 + 3/5*a**5 + m*a**2 + 0 + 63/5*a**3 = 0.
-4, -1, 0, 1/3
Let l(r) = -r**2 + 2*r - 6. Let d(n) = n**2 - 8*n - 18. Let z be d(9). Let w be 4/18 + (-25)/z. Let q(u) = -1. Let f(x) = w*l(x) - 15*q(x). Factor f(h).
-3*(h - 1)**2
Suppose 0 = -383*b + 385*b - 84. Suppose b = 19*a + 2*a. Factor -5*q - 3 - 1/3*q**3 - 7/3*q**a.
-(q + 1)*(q + 3)**2/3
Let j be -167 + 163 + -1 + 4. Let g be j/7 + (1/(-7))/(-1). Factor 4/5 - 1/5*p**2 + g*p.
-(p - 2)*(p + 2)/5
Let p = 5/18393 - -55139/147144. Solve 3/8*q - 3/8 - p*q**3 + 3/8*q**2 = 0.
-1, 1
Suppose 7*j = -23 + 58. Suppose -3*k = j*w - 46, 3 = 2*w - 2*k - 9. Factor -14*p**4 - 22*p**4 + w*p**2 + 12*p**3 - 4*p**2 - 108*p**5.
-4*p**2*(3*p - 1)*(3*p + 1)**2
Let n be (-16)/(-8) - (-31 - -32)/((-2)/20). Let h(q) be the first derivative of 108*q - 11 + 4/9*q**3 + n*q**2. Factor h(k).
4*(k + 9)**2/3
Let h(d) be the second derivative of -d**6/45 + 6*d**5/5 - 143*d**4/9 - 76*d**3 - 361*d**2/3 - 1624*d. Let h(p) = 0. What is p?
-1, 19
Let k = 10677/11 - 10663/11. Factor 16/11 + k*j - 2/11*j**2.
-2*(j - 8)*(j + 1)/11
Find g such that -20*g - 475*g**2 - 252*g**4 + 192 + 25*g**3 + 188 + 220*g**4 - 5*g**5 + 127*g**4 = 0.
-2, -1, 1, 2, 19
Determine f, given that f**3 + 45/7*f**2 - f - 44/7 - 1/7*f**4 = 0.
-4, -1, 1, 11
Let d(b) be the second derivative of 0*b**2 + 1/90*b**5 + 1 + 0*b**3 - 42*b + 1/6*b**4. Factor d(z).
2*z**2*(z + 9)/9
Let u be 28*(-54)/(-11340)*(5 + 1). Determine y so that -124/5 + 128/5*y - u*y**2 = 0.
1, 31
Find z such that 24/5*z**3 + 12/5*z**4 + 1/5*z**5 + 576/5 - 48*z - 128/5*z**2 = 0.
-6, -4, 2
Let u(h) be the second derivative of -h**7/840 + h**6/72 - h**5/20 - 49*h**3/3 - 2*h + 30. Let q(b) be the second derivative of u(b). Factor q(m).
-m*(m - 3)*(m - 2)
Let f(s) = 8*s**2 - 601*s + 84107. Let m(w) = -7*w**2 + 598*w - 84106. Let r(p) = -6*f(p) - 7*m(p). Factor r(b).
(b - 290)**2
Suppose -39 = -4*m - 7. Let i be 15/6 - 4/8. Factor -5 + 4*v**2 + i - m*v - 9.
4*(v - 3)*(v + 1)
Let z(d) = 80*d**3 + 80*d**2 + 25. Let t(c) = -19*c**3 - 19*c**2 - 6. Let s(q) = -25*t(q) - 6*z(q). Suppose s(g) = 0. Calculate g.
-1, 0
Let j be (0/(10/(-5)))/(840/(-28) + 26). Factor 0*z + 1/3*z**2 - 1/3*z**3 + j.
-z**2*(z - 1)/3
Let z(v) be the third derivative of -v**6/30 + v**5/5 + v**4 - 16*v**3/3 - 399*v**2. Suppose z(g) = 0. Calculate g.
-2, 1, 4
Let z = -771732 + 1543479/2. Let -15/2*s**3 + z*s + 3/2*s**4 + 0 - 3/2*s**2 = 0. What is s?
-1, 0, 1, 5
Let n(l) be the first derivative of -6 + 13*l**2 - 6*l + 3/2*l**3. Factor n(o).
(o + 6)*(9*o - 2)/2
Let o(m) be the first derivative of 8*m**5/35 + 13*m**4/14 + 10*m**3/7 + m**2 + 2*m/7 - 7139. What is u in o(u) = 0?
-1, -1/4
Suppose -7*g - 40 = -27*g. Let w be 10/4 + (-180)/(-120). Factor -3/4 - 3/4*j**w + 3/2*j**g - 3/2*j**3 + 3/4*j**5 + 3/4*j.
3*(j - 1)**3*(j + 1)**2/4
Let k(y) be the second derivative of 25/2*y**2 + 1/9*y**4 - 1/3*y**3 - 1/90*y**5 + 0 + 19*y. Let l(c) be the first derivative of k(c). Factor l(r).
-2*(r - 3)*(r - 1)/3
Let t(y) be the third derivative of -2*y**5/35 + 1851*y**4/28 + 265*y**3 - y**2 - 52*y + 14. Determine q so that t(q) = 0.
-1, 1855/4
Let j(d) be the third derivative of -d**7/1050 - 77*d**6/600 - 367*d**5/300 - 169*d**4/40 - 36*d**3/5 + 74*d**2. Determine w so that j(w) = 0.
-72, -3, -1
Let o(w) = w**2 + 5*w + 1. Let v(h) = -4*h**3 + 84*h**2 - 488*h - 4. Let f(l) = 4*o(l) + v(l). Factor f(n).
-4*n*(n - 13)*(n - 9)
Let j(z) be the third derivative of -5/48*z**4 - 5*z**2 - 1/240*z**5 + 0*z + 0 + 11/24*z**3. Factor j(f).
-(f - 1)*(f + 11)/4
Suppose 2*k = 2*o - 20, 2*k = 5 - 15. Factor o*j**3 + 446 - 854 + 438 - 35*j.
5*(j - 2)*(j - 1)*(j + 3)
Factor 73/7*z + 2/7*z**2 + 10 - 1/7*z**3.
-(z - 10)*(z + 1)*(z + 7)/7
Find i such that 271*i**2 + 255*i**2 + 296*i**2 - 546*i**2 + 3*i**3 - 275*i - 4*i**3 = 0.
0, 1, 275
Let b = -1497 - -1501. Suppose q = -2, b*z - 30*q + 32*q = 0. Factor z + 1/2*r + 1/2*r**4 - 1/2*r**3 - 3/2*r**2.
(r - 2)*(r - 1)*(r + 1)**2/2
Let q(s) be the second derivative of 40*s + 0*s**3 + 5/18*s**4 - 1/45*s**6 + 0*s**2 + 0 - 2/15*s**5. Factor q(u).
-2*u**2*(u - 1)*(u + 5)/3
Let c(t) be the third derivative of -t**5/80 + 285*t**4/32 - 71*t**3/2 - 14*t**2 - 21*t. Factor c(f).
-3*(f - 284)*(f - 1)/4
Let n(i) be the third derivative of 100*i**2 + 0*i**3 + 2*i**4 + 0*i + 0 - 1/30*i**6 + 11/15*i**5. What is h in n(h) = 0?
-1, 0, 12
Let v(t) be the second derivative of 138*t - 11/6*t**4 - 3/5*t**5 - 1/15*t**6 + 0 - 2*t**3 + 0*t**2. Factor v(q).
-2*q*(q + 1)*(q + 2)*(q + 3)
What is j in -2/3*j**3 - 200/3 - 32*j + 34*j**2 = 0?
-1, 2, 50
Let p be (-969)/(-152) - (-156)/(-26). Factor 21/8*h + 0 + p*h**2.
3*h*(h + 7)/8
Suppose 52506*n + 418 = 52715*n. Find z, given that -2/3*z**3 - 46/9*z**n + 32/9 - 80/9*z = 0.
-4, 1/3
Let r = 3857/286 - 1857/143. Determine h, given that -1/8*h**4 + r*h**3 + 0 + 1/4*h - 5/8*h**2 = 0.
0, 1, 2
Let j be (2/26)/((-42795)/(-585) + -73). Suppose j*x**5 - 3/2*x**3 - 3/2*x**4 + 7/2*x**2 + 0 + 3*x = 0. Calculate x.
-1, 0, 2, 3
Let s(t) be the second derivative of t**4/18 + 20*t**3/9 - 44*t**2/3 - 1443*t. Find y such that s(y) = 0.
-22, 2
Let y(t) = 7*t**2 + 84*t - 25. Let j(r) = r**2 + 2*r + 11. Let q(z) = -18*j(z) + 2*y(z). What is b in q(b) = 0?
2, 31
Let c(k) be the first derivative of -15/2*k**2 + 115 