cond derivative of q(u). Solve t(x) = 0.
-1/3, 3
Suppose 3*y - 6*y = 30. Let a = y - -15. Factor 4*b**3 - 2*b - 2*b**5 - a*b**2 - b**2 + 6*b**2.
-2*b*(b - 1)**2*(b + 1)**2
Let -6*m**4 + 464*m**3 + m**4 - 499*m**3 = 0. What is m?
-7, 0
Let q(s) = -50*s**2 + 106*s + 95*s**2 + 74*s**2 + 26. Let g(b) = 475*b**2 + 425*b + 105. Let v(i) = -6*g(i) + 25*q(i). Find p such that v(p) = 0.
-2/5
Suppose -p = 2*p + 6. Let x(t) = -t**3 - 2*t**2 - 3*t - 3. Let a be x(p). What is y in 7*y - 2*y**2 - 1 + 3*y**4 + a*y - y**5 - 7*y - 2*y**3 = 0?
-1, 1
Let c be 55/(-44) + 34/8. Let -5*f**c - 136*f + 106*f + 18*f**2 + 17*f**2 = 0. Calculate f.
0, 1, 6
Let z be ((-3)/(-2))/(6/16). Let y(i) be the third derivative of 0*i + 1/48*i**z + 1/120*i**5 + 0 + 0*i**3 + i**2. Factor y(v).
v*(v + 1)/2
Let h(b) be the second derivative of b**4/48 + 2*b**3/3 + 7*b**2/2 + 11*b. Factor h(r).
(r + 2)*(r + 14)/4
Let a be 71/(-56)*-2 + (-4)/14. Suppose 0 = 4*l - w - 4*w - 32, 26 = 2*l - 5*w. Determine f so that 3/4*f**2 - l*f + a = 0.
1, 3
Let h = -4 - -6. Suppose 2 = h*p - p. Factor -48*m - 15*m**2 - 4*m**3 - 7*m**2 + 7 - p*m**2 - 39.
-4*(m + 2)**3
Suppose 20 = -2*o + 2*n - 6, 4*o + 32 = -n. Let i = o - -13. Determine h, given that 4*h - i*h**2 - 4 - h - 11*h = 0.
-1
Let a(t) be the second derivative of -5*t**7/42 - 37*t**6/30 - 39*t**5/20 + 25*t**4/12 + 22*t**3/3 + 6*t**2 - 259*t. What is p in a(p) = 0?
-6, -1, -2/5, 1
Let o = 18 + -11. Suppose 5*q + 26 = o*q. Factor 6 - 7*y - 3*y**4 - 3*y**3 + q*y + 0*y**3 + 9*y + 9*y**2.
-3*(y - 2)*(y + 1)**3
Let t(g) = 3*g**4 - 5*g**2 + 8. Let p(y) = y**4 + 2. Let w(r) = -2*p(r) + t(r). Suppose w(h) = 0. Calculate h.
-2, -1, 1, 2
Factor -32/11*n - 96/11 - 2/11*n**2.
-2*(n + 4)*(n + 12)/11
Find o such that -13/7*o**2 + 13/7*o**4 + 1/7*o**3 - 4/7*o + 3/7*o**5 + 0 = 0.
-4, -1, -1/3, 0, 1
Let r = 1633/10 - 804/5. Solve -3/2*y + 9/2 - r*y**2 - 1/2*y**3 = 0 for y.
-3, 1
Suppose 3*x = 19 + 17. Factor -9*b**2 + 28*b + x + 3*b**3 - 28*b.
3*(b - 2)**2*(b + 1)
Let k(t) = -t**2 + 4*t. Let s be k(2). Solve -16*z**3 - 48*z + 3*z**s - z**5 - 16*z**3 + 56*z**2 + 16 + 6*z**4 = 0.
1, 2
Let d be ((-60)/16)/(3/4 + -1). Let j be ((-24)/9)/4 + 10/d. Find q, given that j - 18/17*q**2 - 4/17*q - 6/17*q**4 - 20/17*q**3 = 0.
-2, -1, -1/3, 0
Suppose n - 3*o = -8, 3*n + 192*o = 189*o + 24. Let y = 39 + -116/3. Find r such that 0 + 5/6*r**n + y*r - 5/6*r**2 - 1/3*r**3 = 0.
-1, 0, 2/5, 1
Let t be (0/(8/(-4)) - 0)/3. Let w(y) be the second derivative of 0*y**2 + t + 1/48*y**4 - 1/24*y**3 + 3*y. Let w(n) = 0. Calculate n.
0, 1
Suppose 5*t - 2199 = t + r, -1 = -r. Let k be 0 + 4/(-10) + 1045/t. Let -k*w**3 - 1/2*w + 1/2 - 5/2*w**2 = 0. Calculate w.
-1, 1/3
Let y be (-264)/(-180) - 24/36. Solve 0*n + 0 + 2/5*n**3 - y*n**2 = 0 for n.
0, 2
Let y(w) = 5*w**2 - 100*w - 129. Let u(s) = -5*s**2 + 95*s + 130. Let o(p) = 4*u(p) + 5*y(p). Find d, given that o(d) = 0.
-1, 25
Suppose -2*v = -4*w, 0*v - v + 5*w = 0. Determine q, given that 5*q**4 + 16*q**3 + 5*q**2 + v*q**3 - 6*q**3 = 0.
-1, 0
Let t = -51 + 74. Let f = t - 16. Factor 3*y**2 + f*y**2 + 4*y - 4*y**2 - 4*y**2.
2*y*(y + 2)
Let j = -3521 - -3524. Factor 2*k**4 + 11/2*k**2 + 0 - k - 13/2*k**j.
k*(k - 2)*(k - 1)*(4*k - 1)/2
Let i(f) be the first derivative of -1/6*f**3 + 0*f - 22 - 1/4*f**2. Factor i(j).
-j*(j + 1)/2
Let c = 190669/2730 + -4/455. Let x = c - 205/3. Determine j, given that 3*j**3 + 0*j**2 - x*j - 3/2*j**5 + 0 + 0*j**4 = 0.
-1, 0, 1
Let k be 8/(-10) + (-5733)/65. Let w = 91 + k. Factor -2/5 + 0*h + 2/5*h**w.
2*(h - 1)*(h + 1)/5
Let k(z) be the third derivative of 0 + 0*z - 20/3*z**3 + 55/12*z**4 - 6*z**2 - 5/12*z**5. Factor k(c).
-5*(c - 4)*(5*c - 2)
Let j(g) be the third derivative of -g**6/600 - g**5/12 - g**4/5 + 52*g**2. Factor j(m).
-m*(m + 1)*(m + 24)/5
Suppose 557 = 8*c + 525. Let d(a) be the first derivative of 1/18*a**2 + 1/45*a**5 + 1/9*a + 1/54*a**6 - 1/18*a**c - 2/27*a**3 - 7. Factor d(z).
(z - 1)**2*(z + 1)**3/9
Suppose -11*q + 2*q - 36 = 0. Let a(g) = -g**2 - g. Let d(r) = r**2 + 16*r. Let s(h) = q*a(h) + d(h). Factor s(o).
5*o*(o + 4)
Suppose 67 - 307 = -12*j. Let o be 4 - ((-75)/j)/(-1). Factor -o*x**2 + 3/4*x - 3/4*x**3 + 1/4.
-(x - 1)*(x + 1)*(3*x + 1)/4
Suppose 4*h + 64 = -0*h. Let n = -8 - h. Factor -n*d - d**3 + 1 + 3*d**2 - 8*d**2 - 3 - 2.
-(d + 1)*(d + 2)**2
Let t be (2 + 62/(-5))*(-8 + 3). Let s = -49 + t. Factor 1/5 + 0*x**s - 2/5*x**2 + 0*x + 1/5*x**4.
(x - 1)**2*(x + 1)**2/5
Let i = -5269 + 5309. Factor -i*x**3 + 25/2*x**4 + 8 + 12*x**2 + 32*x.
(x - 2)**2*(5*x + 2)**2/2
Let a(p) be the second derivative of -1/78*p**4 + 14*p + 0 - 3/13*p**2 - 4/39*p**3. Solve a(d) = 0.
-3, -1
What is m in -4/11 + 6/11*m**2 - 12/11*m**5 - 10/11*m**4 + 34/11*m**3 - 14/11*m = 0?
-2, -1/2, -1/3, 1
Let j(r) = -r**2 - 4*r - 2. Let k be j(0). Let o be 72/(k + 8)*2/66. Let 2/11*d**2 - 6/11 + o*d = 0. What is d?
-3, 1
Solve 398*u - 180*u - 197*u - u**2 - 2*u**2 = 0.
0, 7
Let y(k) = -2*k**5 + 11*k**4 - 12*k**3 + 4*k**2 - k - 1. Let i(u) = -u**5 + 2*u**4 - u**3 - u**2 + u + 1. Let s(o) = -i(o) - y(o). Determine a so that s(a) = 0.
0, 1/3, 1, 3
Let u(h) = -2*h**2 + 12*h - 12. Let j(f) = 6*f**2 - 35*f + 35. Let t(l) = 4*j(l) + 11*u(l). Factor t(o).
2*(o - 2)**2
Let u be (-6)/9*3/(-2) - 4. Let f be 2/(-9) + u/108*-62. Factor 1 - f*s**3 - 1/2*s**2 - 1/2*s**4 + 3/2*s.
-(s - 1)*(s + 1)**2*(s + 2)/2
Suppose -5*v + 52 - 7 = 0. Factor -6 - 3*i + 0*i + 5*i + v*i**2 + i.
3*(i + 1)*(3*i - 2)
Let i be -2*(-3122)/(-7)*(-2)/4. Find k such that -5*k**2 + k - 445*k**3 + k**4 + i*k**3 + 2*k = 0.
-3, 0, 1
Let i(o) be the first derivative of -3*o**4/4 - 16*o**3 - 75*o**2/2 + 126*o + 594. Solve i(s) = 0.
-14, -3, 1
Factor 22*h**2 - 3*h**4 + 16*h**3 + 9*h**4 - 14*h**2.
2*h**2*(h + 2)*(3*h + 2)
Let j = 10 + -1. Solve 0*i**2 - 5*i**2 + j*i + 2*i**2 = 0.
0, 3
Let o(j) = 102*j**2 - 129*j - 24. Let s be 2 + (0 - 80/4). Let m(h) = 29*h**2 - 37*h - 7. Let p(u) = s*m(u) + 5*o(u). Factor p(r).
-3*(r - 2)*(4*r + 1)
Let i(t) = -2*t**4 + t**2 - 1. Let p(c) = -7*c**4 + 15*c**3 + 20*c**2 - 2. Let a(o) = -2*i(o) + p(o). Suppose a(n) = 0. What is n?
-1, 0, 6
Let x(s) be the third derivative of -157/6*s**5 - 16*s**2 + 0*s - 115/6*s**4 + 35/12*s**8 + 20*s**3 + 493/8*s**6 + 0 - 149/6*s**7. Find z, given that x(z) = 0.
-1/4, 2/7, 2, 3
Let c be (7/14)/((-3)/(-12)). Determine b so that -3*b**c + 9*b**2 + 2*b**3 + 0*b**2 + 6*b**2 + 18*b = 0.
-3, 0
Determine x so that -16129/3 - 1/3*x**2 - 254/3*x = 0.
-127
Let j = -109 + 197. Let h = 266/3 - j. Determine y so that -h*y**3 + 0*y + 0 - 4/3*y**2 = 0.
-2, 0
Let a(b) be the first derivative of -b**4/16 + 9*b**3/4 - 21*b**2 - 49*b + 27. Determine y, given that a(y) = 0.
-1, 14
Let x = 1948 + -1945. Suppose -p**4 + 1/2*p**x + 0*p + 1/2*p**5 + 0*p**2 + 0 = 0. What is p?
0, 1
Suppose -2*a = -28 - 30. Factor -12*m**3 + 10*m**2 + a*m**3 - 12*m**3.
5*m**2*(m + 2)
Let w be 18/4 - 3/6. Suppose 0 = -j - q, 20 = w*j - 2*q + q. Suppose j*m - 2*m - 3*m**2 + 5*m**2 = 0. Calculate m.
-1, 0
Let w(a) = 2*a - 78. Let x be w(-28). Let d = 134 + x. Determine g, given that 2/13*g**3 + 4/13 - 6/13*g + d*g**2 = 0.
-2, 1
What is r in -1/7*r**3 + 0 - 29/7*r**2 + 30/7*r = 0?
-30, 0, 1
Let j = -2 - -4. Let r(p) be the first derivative of -4*p**4 + j*p**4 - 8 + 1 + p**4. Factor r(n).
-4*n**3
Let b(r) be the first derivative of 2*r**5/105 + r**4/42 - 2*r**3/21 - r**2/21 + 4*r/21 - 20. Find o such that b(o) = 0.
-2, -1, 1
Let h(j) = j**3 + 7*j**2 + 3*j - 14. Let s be h(-6). Factor 4*y**4 - s*y**2 - 4141*y + 4141*y.
4*y**2*(y - 1)*(y + 1)
Let n(v) be the first derivative of 0*v**2 + 1/12*v**6 + 6 + 0*v - 3/10*v**4 + 2/15*v**3 + 3/50*v**5. Suppose n(d) = 0. Calculate d.
-2, 0, 2/5, 1
Suppose -a + 28 + 44 = 0. Determine d, given that -a*d**2 + 23*d + 24*d - 107*d**3 - 8 + 13*d - 33*d**3 = 0.
-1, 1/5, 2/7
Let y(n) = -n**3 - 2*n**2 + 2*n + 3. Let l be (-3 + 3)*(2 + -1) - 1. Let d be y(l). What is t in -2/3*t**5 + 2/3*t**3 + 4/3*t**4 + d - 4/3*t**2 + 0*t = 0?
-1, 0, 1, 2
Let m(r) be the second derivative of 121*r**5/4 + 55*r**4/3 + 10*r**3/3 - r + 75. Factor m(b).
5*b*(11*b + 2)**2
Let s(a) be the second derivative of 2*a**6 + 11*a**5/5 - 13*a**4/3 - 22*a**3/3 - 4*a**2 + 72*a. Determine v so that s(v) = 0.
-1, -2/5, -1/3, 1
Let o(l) = 8*l**3 - 59*l