x(-6). Find h, given that h - q - 3*h**2 + 58 - 4*h = 0.
-2, 1
Let l(h) be the first derivative of h**8/10920 - h**7/5460 + 23*h**3/3 - 25. Let g(v) be the third derivative of l(v). Let g(j) = 0. What is j?
0, 1
Suppose 0 = -2*d - 2*d + 16. Suppose -5*r + 2*s = 6*s - 121, -d*s + 100 = 4*r. Find z such that -24*z**3 + 10*z**2 - r*z + 18*z**3 + 6 + 11*z**2 = 0.
1/2, 1, 2
Let d(m) be the first derivative of m**3/9 - 2*m**2/3 - 5*m/3 + 150. Let d(j) = 0. Calculate j.
-1, 5
Suppose 32*f + 26*f = 92*f - 68. Let i = -33 - -67/2. Factor 1/2*c**f + i + c.
(c + 1)**2/2
Suppose c = w, 0 = c + 4*w + 7 + 8. Let m be 2*(-1 - (1 + c + 0)). Factor -7/4*l - l**m + 1/2.
-(l + 2)*(4*l - 1)/4
Let h(i) be the third derivative of 1/20*i**6 + 0*i + 1/30*i**5 + 0 - 2/3*i**3 + 3*i**2 + 1/105*i**7 - 1/4*i**4. Factor h(v).
2*(v - 1)*(v + 1)**2*(v + 2)
Let p be (-18)/(-6) + -4 - 37/(-1). Suppose p = -t + 36. Factor t + 2/15*i**2 + 0*i + 0*i**3 - 2/15*i**4.
-2*i**2*(i - 1)*(i + 1)/15
Let q = -152 + 83. Let a = q - -74. Factor 0 - 1/2*s**2 + 0*s - 3/2*s**3 - 1/2*s**a - 3/2*s**4.
-s**2*(s + 1)**3/2
Let p(r) = r - 2. Let v(b) = -b**3 - 2*b**2 + 3*b - 6. Let h(d) = 3*p(d) - v(d). Let h(q) = 0. What is q?
-2, 0
Let t(g) be the third derivative of -4*g**2 + 0*g - 1/8*g**4 + 0 + 1/20*g**5 + 0*g**3. What is s in t(s) = 0?
0, 1
Find p such that -5*p + 55*p**2 - 64 + 5*p**3 + 34 - 25 = 0.
-11, -1, 1
Let v be (9572/6)/(1 - 4 - 3). Let u = -265 - v. Determine h, given that 8/9*h - u - 2/9*h**3 + 2/9*h**2 = 0.
-2, 1, 2
Factor 1/4*q**4 + 43/2*q**2 + 31/4*q**3 + 14*q + 0.
q*(q + 1)*(q + 2)*(q + 28)/4
Let y(w) = -9*w - 12. Let t(r) be the third derivative of r**5/60 - 5*r**4/12 - 13*r**3/6 + 18*r**2. Let v(n) = -3*t(n) + 2*y(n). Let v(j) = 0. Calculate j.
-1, 5
Let i(q) = -15*q**2 + 30*q + 5. Let w be -3 - (3 - 1 - 3). Let v(g) = -7*g**2 + 15*g + 2. Let d(r) = w*i(r) + 5*v(r). Factor d(y).
-5*y*(y - 3)
Let z be ((-3)/(-6))/(5*(-75)/(-250)). Factor 350/3*n**2 - 125/3*n - 130/3*n**3 + 19/3*n**4 - z*n**5 - 625/3.
-(n - 5)**4*(n + 1)/3
Let l(s) be the third derivative of s**6/40 - 109*s**5/20 + 2915*s**4/8 + 3025*s**3/2 - 369*s**2 + s. Solve l(g) = 0.
-1, 55
Let h(d) be the second derivative of 0*d**2 + 0 - 1/66*d**4 + 1/165*d**6 + 1/33*d**3 - 10*d - 1/110*d**5. Factor h(c).
2*c*(c - 1)**2*(c + 1)/11
Suppose 10 = -47*l + 10. Let v(g) be the first derivative of -6/5*g**5 - 7 - 6*g**2 + 0*g - 3/2*g**6 + l*g**3 + 27/4*g**4. Suppose v(i) = 0. Calculate i.
-2, -2/3, 0, 1
Let s(y) be the first derivative of -y**3/5 + 21*y**2/5 - 39*y/5 + 124. Factor s(j).
-3*(j - 13)*(j - 1)/5
Let j(r) be the first derivative of 3*r**2 - 1/2*r**4 + 0*r - 6 - 4/3*r**3. Suppose j(d) = 0. Calculate d.
-3, 0, 1
Let j(d) be the first derivative of -8*d**3/39 + 11*d**2/13 + 6*d/13 + 86. Factor j(t).
-2*(t - 3)*(4*t + 1)/13
Let b(s) be the second derivative of 2*s**6/45 + 2*s**5/5 + 4*s**4/9 - 4*s**3/3 - 10*s**2/3 - 11*s - 5. Factor b(x).
4*(x - 1)*(x + 1)**2*(x + 5)/3
Suppose -4*n = -34*n + 90. Factor 15/7*g**2 - n*g + 9/7 - 3/7*g**3.
-3*(g - 3)*(g - 1)**2/7
Let q(r) be the third derivative of r**7/560 - r**6/80 - r**5/80 + 3*r**4/16 + 9*r**3/16 - 41*r**2. Factor q(b).
3*(b - 3)**2*(b + 1)**2/8
Suppose -2*n + 0*f + f = -11, -n - 2 = 2*f. Factor -30*o**3 + 26*o**2 + 62*o**n - 30*o - 57*o**4 + 29*o**2.
5*o*(o - 3)*(o - 2)*(o - 1)
Suppose w = -w + 4. Suppose 0 = -w*z, 8*z - 12 = -3*h + 3*z. Factor 0*a**2 - a**h - 8*a + 8*a + 2*a**3 - a**2.
-a**2*(a - 1)**2
Let z = 11399/20878 + -1/1898. Suppose -6/11*a + z*a**2 - 2/11*a**3 + 2/11 = 0. What is a?
1
Suppose o + 29 = 5*o + 5*h, 49 = 5*o + 2*h. Suppose 0 = -2*u + 4*b - 9*b + o, 3*b = u. Factor -j**3 - 2*j**5 + 3*j**u - 3*j**4 + 3*j**4.
-2*j**3*(j - 1)*(j + 1)
Let v be (-32 + 20 + 9)/((-9)/5). Factor 0 + v*r**2 - 1/3*r**3 + 1/3*r - 5/3*r**4.
-r*(r - 1)*(r + 1)*(5*r + 1)/3
Let f = 35 + -80. Let v = f + 45. Factor -2/3*r - 2/3*r**3 + 4/3*r**2 + v.
-2*r*(r - 1)**2/3
Let s = -3666 - -25682/7. Factor -2/7*o**3 - 50/7*o + 0 - s*o**2.
-2*o*(o + 5)**2/7
Let l(u) = u**3 - 7*u**2 + u - 4. Let d(y) = y**2 + 5*y + 1. Let t be d(-6). Let q be l(t). Find n such that -q*n + 2*n + n + 4*n**2 = 0.
0
Let v(m) be the first derivative of -5*m**3/3 - 55*m**2 - 605*m + 76. Let v(y) = 0. Calculate y.
-11
Let q(d) = -42*d**3 - 77*d**2 + 832*d - 2304. Let s(m) = -11*m**3 - 19*m**2 + 208*m - 576. Let i(t) = -6*q(t) + 23*s(t). Factor i(u).
-(u - 9)*(u - 8)**2
Suppose 139*t**3 - 14*t + 2*t - 2*t**2 - 276*t**3 + 139*t**3 = 0. What is t?
-2, 0, 3
Find t such that 1/2*t**2 - 125/2 + 10*t = 0.
-25, 5
Let x be (-40)/56 + (-250)/(-154). Suppose 4/11 - 16/11*g**2 + x*g**3 + 2/11*g = 0. Calculate g.
-2/5, 1
Let c(l) be the second derivative of -l**6/60 - 2*l**5/15 - l**2 + 4*l. Let a(w) be the first derivative of c(w). Factor a(j).
-2*j**2*(j + 4)
Let f(i) = i**3 - 9*i**2 + i - 105. Let h be f(10). Let -10/3*a**4 + 8/3*a**h - 2*a**3 + 10/3*a**2 + 0 - 2/3*a = 0. Calculate a.
-1, 0, 1/4, 1
Let l = 1 + 1. Let u = 1003787/16891 - -3/2413. Find o such that 134/7*o**l - u*o**3 + 24/7*o - 18*o**4 - 8/7 + 56*o**5 = 0.
-1, -1/4, 2/7, 1
Let p(c) = c**2 - 10*c - 7. Let h = 8 - -3. Let n be p(h). Suppose 6/7*o**2 + 0 - 3/7*o**5 - 6/7*o**n + 0*o**3 + 3/7*o = 0. Calculate o.
-1, 0, 1
Let g = -2725 - -2730. Let n(x) be the first derivative of 0*x + 2*x**2 - 4/3*x**3 - g. Let n(o) = 0. What is o?
0, 1
Let m be 5 + 3 + 4 + -2. Factor -6*k**3 - 5*k + 5*k**3 + m*k**2 - 4*k**3.
-5*k*(k - 1)**2
Let t(y) be the first derivative of -2*y**5/25 + y**4 - 64*y**3/15 + 32*y**2/5 - 46. Determine g, given that t(g) = 0.
0, 2, 4
Let d(j) be the first derivative of -5*j**6/6 - 4*j**5 + 5*j**4 + 170*j**3/3 + 225*j**2/2 + 90*j + 132. Determine t so that d(t) = 0.
-3, -2, -1, 3
Let u(p) = 10*p**2 + 59*p - 74. Let v(g) = 6*g**2 + 30*g - 36. Let d(r) = 4*u(r) - 7*v(r). Suppose d(y) = 0. What is y?
2, 11
Let s(x) = x**2 - 6*x - 23. Let r be s(9). Factor -f**3 + 81 - r*f**5 - 81 + 5*f**3.
-4*f**3*(f - 1)*(f + 1)
Let a(u) be the third derivative of u**5/30 + 205*u**4/6 + 42025*u**3/3 + 55*u**2. Let a(h) = 0. What is h?
-205
Let u(c) be the third derivative of -c**9/12960 - c**8/4480 - c**7/7560 + 4*c**4/3 + 33*c**2. Let p(h) be the second derivative of u(h). Factor p(z).
-z**2*(z + 1)*(7*z + 2)/6
Determine w so that 1/2*w**2 - 21/2*w + 10 = 0.
1, 20
Let u(y) be the second derivative of 0 + 10*y + 1/4*y**4 - 3/2*y**3 + 3*y**2. Factor u(t).
3*(t - 2)*(t - 1)
Find n, given that -2/9*n**2 - 20/9*n - 2 = 0.
-9, -1
Let w = 614 + -609. Let f(h) be the third derivative of 0*h**w - 4*h**2 + 1/336*h**8 - 1/480*h**6 + 0*h + 1/280*h**7 + 0*h**4 + 0 + 0*h**3. Factor f(p).
p**3*(p + 1)*(4*p - 1)/4
Let o(r) = -2*r**2 + 6*r + 8. Let w(x) = -4*x**2 + 13*x + 17. Suppose -26*p + 23*p = 39. Let g(a) = p*o(a) + 6*w(a). Factor g(q).
2*(q - 1)*(q + 1)
Let n(b) be the third derivative of -b**8/2856 + b**7/1785 + b**6/102 + 4*b**5/255 + 453*b**2. Find l, given that n(l) = 0.
-2, -1, 0, 4
Let y(v) = v**2 + 4*v - 7. Let i be y(-5). Let p be 7/2 + 1/i. Factor 3*w + 15*w**4 + 21*w**2 - 12*w**p + 18*w**3 + 39*w**3 + 12*w**4.
3*w*(w + 1)*(3*w + 1)**2
Let i(o) be the first derivative of -4/9*o**3 + 0*o + 12 + 2*o**2. Factor i(m).
-4*m*(m - 3)/3
Let k be (21/(-18) - -1)/(189/(-252)). Factor -2/9 + k*g**2 + 0*g.
2*(g - 1)*(g + 1)/9
Let p(d) be the first derivative of -1/24*d**3 - 3 + 0*d - 1/16*d**2. Factor p(i).
-i*(i + 1)/8
Suppose -z = -8*z. Suppose -16*r + 31 + 1 = z. What is t in 0*t**r + 0*t + 1/4*t**3 - 1/4*t**4 + 0 = 0?
0, 1
Suppose -o + 3*o - 8 = 0. Find g such that o*g - 2*g**3 + 51*g**4 - 49*g**4 - 2*g - 2*g**2 = 0.
-1, 0, 1
Let a(n) be the second derivative of -14*n + n**3 + 0 + 4*n**2 - 1/6*n**4. Suppose a(u) = 0. Calculate u.
-1, 4
Let p(r) be the first derivative of 9 + 3/2*r**2 + 0*r - 1/6*r**3. Factor p(u).
-u*(u - 6)/2
Let g(x) be the first derivative of 2*x**4 - 6*x**3 - 10*x**2 + 6*x - 14. Factor g(l).
2*(l - 3)*(l + 1)*(4*l - 1)
What is l in 242/5 - 88*l + 2/5*l**4 + 156/5*l**2 + 8*l**3 = 0?
-11, 1
Suppose 0*y - 6*y + 60 = 0. Suppose -k + y = 4*k. Factor 4*p - 2*p**k + 9*p - 9*p.
-2*p*(p - 2)
Suppose 4*p - 3*p - 26 = -12*p. Suppose 3*d - 9/4*d**3 + 0*d**p + 0 - 3/4*d**4 = 0. What is d?
-2, 0, 1
Let c(s) be the third derivative of 6*s**2 + 0*s**3 + 0*s + 2/5*s*