 -458 = m - 468. Solve -x**5 + 1/5*x**3 + 12/5*x**2 + 0 + 4/5*x - 12/5*x**z = 0 for x.
-2, -1, -2/5, 0, 1
Determine c so that -62424*c + 306*c**2 + 4244832 - 1/2*c**3 = 0.
204
Solve -23/2*u**3 + 32*u**2 + 10*u - 7/2*u**4 + 0 = 0 for u.
-5, -2/7, 0, 2
Let f(h) be the first derivative of -h**3/6 - 2*h**2 - 15*h/2 - 241. What is t in f(t) = 0?
-5, -3
Suppose -3*c - 2*c - 30 = 0. Let i(x) = -3*x - 14. Let u be i(c). Factor 1 - 23*n + 29*n - 3 - u*n**2.
-2*(n - 1)*(2*n - 1)
Suppose -2*s - 16 = -3*z + 2, 30 = 5*z + 4*s. Suppose r + 20 = z*r. Let 7 - 5*n**3 - 5*n**r + 7 + 15*n**2 - 4 + 29*n - 4*n = 0. Calculate n.
-1, 2
Let r(g) = -387*g**2 - 6*g. Let a(y) = -1551*y**2 - 22*y. Let p(s) = -4*a(s) + 15*r(s). Find u such that p(u) = 0.
0, 2/399
Let y(w) be the first derivative of 2*w**6/3 - 12*w**5/5 - 6*w**4 + 32*w**3/3 - 46. What is x in y(x) = 0?
-2, 0, 1, 4
Suppose 0 = -3*h - 9, -3*k + 5*h = -2*k + 39. Let c be 12/k - 87/(-27). Find n, given that -3/2*n**c + 0 + 1/2*n**4 + 3/2*n**2 - 1/2*n = 0.
0, 1
Let g be (394/3)/(65/(-3)). Let z = 84/13 + g. What is c in 2/5*c**5 + z*c**3 + 4/5*c**4 + 0*c**2 + 0 + 0*c = 0?
-1, 0
Let q(x) be the second derivative of -x**5/150 + x**4/30 + 6*x**2 + x. Let v(u) be the first derivative of q(u). Factor v(i).
-2*i*(i - 2)/5
Let z = -17 - -21. Factor 8*d**2 + 2 - 8*d**3 + 15*d - 3*d - 2 - 4*d**5 - 12*d**4 + z.
-4*(d - 1)*(d + 1)**4
Let x = 8171 - -1410. Solve -12*g - 2*g**2 + 60*g - 9869 + x = 0.
12
Let w(m) be the first derivative of -m**5/20 - m**4/16 + m**3/2 - 225. Factor w(d).
-d**2*(d - 2)*(d + 3)/4
Let l = 639/1520 + -34/95. Let y(c) be the third derivative of 1/240*c**6 + 0*c - 8*c**2 - l*c**4 - 1/6*c**3 + 0 + 0*c**5. Factor y(o).
(o - 2)*(o + 1)**2/2
Let j(w) = -4*w**2 + 218*w - 420. Let v(f) = -7*f**2 + 329*f - 630. Let d(k) = -8*j(k) + 5*v(k). Factor d(p).
-3*(p - 2)*(p + 35)
Let n(h) be the third derivative of -h**7/945 + h**6/90 + h**5/270 - h**4/18 + 23*h**2 - 2*h. Solve n(i) = 0 for i.
-1, 0, 1, 6
Let j be (-22)/(-8) - (-1050)/(-420). Let y(s) be the second derivative of 1/28*s**7 + 0*s**6 + 0 + 0*s**4 + j*s**3 - 11*s - 3/20*s**5 + 0*s**2. Factor y(v).
3*v*(v - 1)**2*(v + 1)**2/2
Factor -1/5*s**2 + 4/5*s + 0.
-s*(s - 4)/5
Let v(h) = h**2 + h + 33. Let q be v(0). Suppose q - 8 = 5*x. Find d, given that -6*d + 5*d + 4*d**2 + x*d = 0.
-1, 0
Let o be 55 + -5 + 0 + 0. Let s = o + -47. Factor -2/3*i - 4/3*i**2 + 0 - 2/3*i**s.
-2*i*(i + 1)**2/3
Let u(w) be the second derivative of w**6/720 + w**5/240 - w**4/24 - 13*w**3/2 + 18*w. Let g(b) be the second derivative of u(b). Factor g(k).
(k - 1)*(k + 2)/2
Let o(a) be the first derivative of -a**6/480 + a**5/80 + 3*a**4/32 + 2*a**3/3 + a**2/2 + 43. Let r(w) be the third derivative of o(w). Factor r(y).
-3*(y - 3)*(y + 1)/4
Suppose n + 336 - 338 = 0. Suppose 8 + 1/2*o**n + 4*o = 0. What is o?
-4
Suppose -18 = 247*b - 256*b. Determine z, given that z**2 - b + 7/3*z = 0.
-3, 2/3
Let r(c) = -c**2 - 25*c + 6. Let y = 16 + -22. Let l(n) = 3*n**2 + 50*n - 13. Let j(b) = y*l(b) - 13*r(b). Suppose j(m) = 0. What is m?
0, 5
Let f = -76306/3 - -25436. Determine t, given that f*t**2 - 2 + 4/3*t = 0.
-3, 1
Let n = -6/11 + 45/22. Let r be 7/((-210)/(-9))*15. Suppose -r*p - 3/2*p**3 + 9/2*p**2 + n = 0. What is p?
1
Solve -91 + 185*m**3 + m**4 + 140*m + 91 + 390*m**2 - 16*m**4 - 50*m**2 = 0 for m.
-1, -2/3, 0, 14
Factor 128/17 + 22/17*g**3 + 32/17*g - 2/17*g**4 - 72/17*g**2.
-2*(g - 4)**3*(g + 1)/17
Let d(k) be the first derivative of -2*k**5/65 + 45*k**4/13 + 122*k**3/13 + 92*k**2/13 - 162. Factor d(o).
-2*o*(o - 92)*(o + 1)**2/13
Let n be (((-480)/(-10))/(-8))/((-12)/8). Let i(a) be the second derivative of 0 + 0*a**2 + 1/120*a**6 + 0*a**3 + 1/48*a**n + 4*a - 1/40*a**5. Factor i(k).
k**2*(k - 1)**2/4
Let w(l) be the third derivative of 0*l**3 - 1/336*l**8 - 1/35*l**7 + 0*l + 2/5*l**5 + 0 - 1/120*l**6 + 5*l**2 - 2/3*l**4. Determine v so that w(v) = 0.
-4, 0, 1
Let y(k) be the second derivative of 2*k**6/105 - 9*k**5/35 - k**4/7 + 58*k**3/21 - 36*k**2/7 - 42*k. Factor y(j).
4*(j - 9)*(j - 1)**2*(j + 2)/7
Let r(z) be the third derivative of 2*z**7/105 + z**6/15 - 5*z**5/3 - z**4/3 + 16*z**3 - 301*z**2. Solve r(u) = 0.
-6, -1, 1, 4
Let v(m) be the second derivative of 2*m**6/5 - m**5 - m**4/3 + 10*m**3/3 - 4*m**2 + 7*m - 27. Solve v(n) = 0 for n.
-1, 2/3, 1
Let s(o) be the first derivative of -8/105*o**5 - 1/63*o**6 - 1/21*o**2 - 1/7*o**4 + 0*o - 8/63*o**3 - 47. What is b in s(b) = 0?
-1, 0
Let r(u) be the third derivative of -u**7/8820 + u**6/1260 - u**5/420 + 7*u**4/12 - 5*u**2. Let k(i) be the second derivative of r(i). Factor k(t).
-2*(t - 1)**2/7
What is o in -1/7*o**4 + 15/7 + 32/7*o + 18/7*o**2 + 0*o**3 = 0?
-3, -1, 5
Suppose -a + 0*a = -3. Let w be (-15)/6*(-8)/5. Determine t, given that 24 - 44*t**3 - 108*t + 162*t**2 + 20*t**3 - w*t**a - 53*t**3 = 0.
2/3
Let p(g) be the third derivative of 0*g + 4*g**2 + 0 - 1/60*g**4 + 1/525*g**7 + 1/300*g**6 + 0*g**3 - 1/150*g**5. Factor p(l).
2*l*(l - 1)*(l + 1)**2/5
Let i(v) = 78*v - 6162. Let j be i(79). Factor j + 0*d - 9/2*d**2 - 3/4*d**3.
-3*d**2*(d + 6)/4
Suppose -2*g + 28 = -2*z - 2*z, -4*z - 40 = -5*g. Find l, given that g*l**3 - 2*l**3 - 2*l**4 + l**4 + 2*l**4 = 0.
-2, 0
Let i be (28 + 11592/(-432))*(0 + (-4)/(-21)). Let 2/3*y**2 - 2/3*y**3 + 0 - i*y + 2/9*y**4 = 0. Calculate y.
0, 1
Suppose -6*u = -2*u - 8. Let s = 23 + -11. Find g such that -5*g**2 - s*g**u - 16*g - g**3 - 4*g**3 - 4 = 0.
-2, -1, -2/5
Let t(i) = 2*i**4 - 24*i**3 - 38*i**2 - 30*i + 3. Let g(l) = -l**4 + 2*l**3 - 3*l**2 - 1. Let o(u) = -12*g(u) - 4*t(u). Suppose o(x) = 0. Calculate x.
-15, -2, -1, 0
Let k(g) be the first derivative of g**3 + 3/4*g**4 - 3*g - 3/2*g**2 - 21. Factor k(q).
3*(q - 1)*(q + 1)**2
Let i(b) be the second derivative of -b**5/10 - 11*b**4/3 - 53*b**3/3 + 76*b**2 - 675*b. Find s such that i(s) = 0.
-19, -4, 1
Let o be (25/(-3 + 2))/(-6*3/6). Factor -10/3*l + 1/3*l**2 + o.
(l - 5)**2/3
Let k be -1*(-4 + 8) - -7. Suppose -6 = -3*n + 6. Factor -3*v + k*v**2 + n*v**2 - 6*v**2.
v*(v - 3)
Suppose 2*d = -3*j + 7, -3*d - 2*j + 9 = j. Factor 17*y**3 + d*y - y**3 - 18*y**3.
-2*y*(y - 1)*(y + 1)
Let r(j) be the first derivative of -j**7/3780 + j**6/405 - j**5/108 + j**4/54 - j**3/3 - 5. Let x(f) be the third derivative of r(f). Solve x(h) = 0.
1, 2
Let r be 3*6/42*7. Let t(w) be the first derivative of 6/5*w**4 + 48/5*w**2 - r + 48/5*w + 24/5*w**3 + 3/25*w**5. Suppose t(g) = 0. Calculate g.
-2
Let m(k) = 3*k**2 - 9. Let w be (-6)/15 - 56/10. Let b(a) = a**2 - a - 1. Let z(d) = w*b(d) + m(d). Factor z(t).
-3*(t - 1)**2
Let q = -30 + 34. Find w such that 8*w**3 - 3*w**4 - 10*w**3 + 0*w**4 - w**q = 0.
-1/2, 0
Let o be -1*-1*(-2 + 3)*4. Suppose -2*n + 2 = -2*s + o, -2*n = 3*s - 23. Let 0*a**2 - 2/3*a**3 + 1/3*a + 0*a**4 + 0 + 1/3*a**s = 0. Calculate a.
-1, 0, 1
Let r = -106 + 58. Let c = 48 + r. Factor 8/11*x**3 + c + 2/11*x**4 + 0*x + 8/11*x**2.
2*x**2*(x + 2)**2/11
Suppose 12 = -14*g + 20*g. Let y(t) be the second derivative of -1/18*t**3 - 5*t + 1/36*t**4 + 0 - 1/3*t**g. Find x, given that y(x) = 0.
-1, 2
Let 4*d + 12*d**5 - 23*d**5 + 13*d**5 - 12 + 5*d**4 - 36*d**3 + 37*d**2 = 0. Calculate d.
-6, -1/2, 1, 2
Let w(s) be the second derivative of 0 + 1/720*s**6 + 0*s**2 + 0*s**5 - 9*s + 1/2*s**3 + 0*s**4. Let f(z) be the second derivative of w(z). Factor f(g).
g**2/2
Let b(g) be the first derivative of -g**4/14 - 2*g**3/3 - 12*g**2/7 - 683. Determine f so that b(f) = 0.
-4, -3, 0
Let v(q) be the second derivative of 7*q - 3/8*q**5 + 35/24*q**4 - 5/2*q**2 + 0 - 5/12*q**6 + 5/4*q**3. Solve v(s) = 0 for s.
-1, 2/5, 1
Let h(x) be the first derivative of x**7/42 - x**5/20 + 14*x - 6. Let n(y) be the first derivative of h(y). Let n(m) = 0. Calculate m.
-1, 0, 1
Let s = 6243/8356 - -6/2089. Factor 0 + s*g - 3/4*g**2.
-3*g*(g - 1)/4
Let h(o) = -o**2 + 15*o - 19. Let f be h(14). Let k(v) = 6*v**2 - 2*v + 6. Let w(g) = 5*g**2 - 2*g + 5. Let y(d) = f*w(d) + 4*k(d). Find j such that y(j) = 0.
1
Let i = 8151 + -8147. Let x = -3632/9 + 404. Factor 0 + 2/9*l**2 - 2/9*l**i + x*l - 4/9*l**3.
-2*l*(l - 1)*(l + 1)*(l + 2)/9
Let o = 19 - 11. Let x = o - 6. Factor -8*a - 1 + 0*a**3 + 0*a + a**3 + 11*a - 3*a**x.
(a - 1)**3
Let l(x) be the second derivative of x**6/105 - 