3*o/2 - 35. Solve h(w) = 0 for w.
1, 2
Suppose -2/3*r - 2/3*r**2 + 0 + 2/3*r**4 + 2/3*r**3 = 0. Calculate r.
-1, 0, 1
Let x(w) be the first derivative of -48 + 3/2*w - 3/8*w**2 + 3/20*w**5 + 3/16*w**4 - 3/4*w**3. Determine q so that x(q) = 0.
-2, -1, 1
Let u(k) = k**5 - 2*k**3 + k + 1. Let n(g) = -8*g**5 - 42*g**4 - 89*g**3 + 12*g**2 + 127*g - 5. Let h(f) = -n(f) - 5*u(f). Solve h(v) = 0.
-11, -2, 0, 1
Let m(q) = -80*q**3 + 190*q**2 - 2175*q - 2420. Let c(g) = 3*g**3 + g**2 - g. Let h(j) = 25*c(j) + m(j). Suppose h(k) = 0. Calculate k.
-1, 22
Let i = 113 - 111. Factor -7*m**3 + 0 - 6*m**i + 8*m**3 + 7*m**2 - 1 - m.
(m - 1)*(m + 1)**2
Let n(s) = -s**2 - 4*s + 13. Let l be n(-6). Let h be (4/(-6))/1*(-4 + l). Suppose 0 + 4/5*j + 2/5*j**h = 0. What is j?
-2, 0
Solve 0*d + 2/3*d**2 + d**3 + 1/3*d**4 + 0 = 0.
-2, -1, 0
Suppose 0 - 55/2*u**3 + 28*u**4 - u - 113/2*u**2 = 0. What is u?
-1, -1/56, 0, 2
Let y be 8 - 0*2/8. Suppose 0 = 2*l - y*l + 2430. Factor 16*k**5 + 24*k**3 - 405 + l - 36*k**4 - 4*k**2.
4*k**2*(k - 1)**2*(4*k - 1)
Determine g so that 18242*g**2 + 150*g**4 + 20931 - 3*g**5 - 3294*g**3 - 35904*g - 123 + g**5 = 0.
1, 3, 34
Let w be 4*(-3)/36 + (-16)/6. Let p(q) = -177*q**3 + 82*q**2 - 7*q. Let b(n) = n**3 - n**2 + n. Let j(x) = w*b(x) + p(x). Find d, given that j(d) = 0.
0, 2/9, 1/4
Let z = -22 - -38. Suppose 4*i - z = -4. Factor -19 + 24*s**i - 52*s**2 + 3 + 0*s + 48*s - 7*s**4 + 3*s**4.
-4*(s - 2)**2*(s - 1)**2
Let v be 0*((-60)/18 + 3). Let t(u) be the second derivative of -1/15*u**3 + 0*u**2 - 6*u + 1/30*u**4 + v. Determine j so that t(j) = 0.
0, 1
Let k = -1465/3 - -489. Let z(l) be the first derivative of -2/9*l**3 + k*l**2 - 2/3*l + 1. Suppose z(g) = 0. Calculate g.
1
Suppose 0 = u - 2*i - 1 - 12, 3*i = 2*u - 22. Let q = u - 3. Let 1 + 3*v**q + 2 + 0 - 6 = 0. What is v?
-1, 1
Let s(w) be the third derivative of w**6/60 - w**5/5 + 3*w**4/4 - 4*w**3/3 + 22*w**2. Factor s(b).
2*(b - 4)*(b - 1)**2
Let a(w) be the third derivative of 1/12*w**5 + 36*w**2 + 0*w**3 + 1/24*w**6 + 0*w + 0 - 5/12*w**4. Factor a(v).
5*v*(v - 1)*(v + 2)
Suppose 40 = 3*g + 2*g. Suppose 0 = -5*m + 3*u - g*u - 15, m = 3*u + 17. What is f in -7*f - 1 + 16*f**2 + m - 3*f + 2*f = 0?
1/4
Let q = 135 - 130. Suppose -6*u = -12*u + 12. Factor 2/5*c**u + 2/5*c**3 + 0*c + 0 - 2/5*c**q - 2/5*c**4.
-2*c**2*(c - 1)*(c + 1)**2/5
Let u = -70 - -73. Factor -63*j - 2*j**5 - 4*j**u + 63*j + 6*j**4.
-2*j**3*(j - 2)*(j - 1)
Let n(t) be the first derivative of 1/34*t**4 + 0*t + 1/51*t**6 + 0*t**2 + 0*t**3 - 3 - 4/85*t**5. Let n(f) = 0. Calculate f.
0, 1
Let v(s) be the second derivative of s**7/1260 + s**6/60 - s**4/4 - s**3/6 - 2*s - 3. Let q(p) be the third derivative of v(p). Factor q(y).
2*y*(y + 6)
Let v(m) be the third derivative of -m**6/200 - 13*m**5/100 + 7*m**4/20 - 66*m**2. Factor v(d).
-3*d*(d - 1)*(d + 14)/5
Let h be ((-3822)/28)/(33/(-20)). Let q = h + -82. What is c in -2/11*c**2 + q*c - 8/11 = 0?
2
Factor -14*z**2 + 3*z - 24*z**2 - 15*z - z**2 + 7*z**2 + 12*z**3.
4*z*(z - 3)*(3*z + 1)
Let c(a) be the third derivative of -a**8/4032 - a**7/252 - a**6/48 + 7*a**5/20 - 19*a**2. Let t(j) be the third derivative of c(j). Factor t(o).
-5*(o + 1)*(o + 3)
Let o(f) be the first derivative of 28*f**5/5 - 38*f**4 + 284*f**3/3 - 104*f**2 + 48*f - 453. Factor o(w).
4*(w - 2)**2*(w - 1)*(7*w - 3)
Let q(n) be the first derivative of 1/20*n**5 - 1/8*n**4 - 12 + 0*n - n**3 + 5*n**2. Let p(z) be the second derivative of q(z). Factor p(l).
3*(l - 2)*(l + 1)
Suppose 0 = m + 2*m - 42. Let a = -11 + m. Factor 1/4*t**a + 0 + 2*t**2 + t - 3/4*t**4.
-t*(t - 2)*(t + 1)*(3*t + 2)/4
Suppose -4*a - 5 = -17. Suppose 2*u + a*u - 15 = 0. Factor 4*r**4 + 0*r**3 - 3*r**4 + 0*r**u.
r**4
Let c(k) be the first derivative of -k**6/3 - 2*k**5 - 9*k**4/2 - 14*k**3/3 - 2*k**2 + 565. Factor c(f).
-2*f*(f + 1)**3*(f + 2)
Let l(h) be the third derivative of -h**8/50400 + h**7/3150 - h**6/600 + h**5/60 - 4*h**2. Let n(i) be the third derivative of l(i). Factor n(a).
-2*(a - 3)*(a - 1)/5
Let y(x) be the third derivative of -2*x**7/945 - 11*x**6/270 - 8*x**5/45 + 2*x**4/3 + 8*x**2 + 2*x. Find w such that y(w) = 0.
-6, 0, 1
Let c = 6547/3030 - -3/505. Let x = -2/3 + c. Factor 3/2*k - x + 3/2*k**2 - 3/2*k**3.
-3*(k - 1)**2*(k + 1)/2
Suppose 4*d = -q + 17, 8*d = 4*d - 3*q + 11. Let w(u) be the third derivative of -6*u**2 + 1/60*u**d + 0*u + 3/2*u**3 + 0 + 1/4*u**4. Let w(a) = 0. What is a?
-3
What is i in -5/2*i**3 + 90 + 25*i**2 - 165/2*i = 0?
3, 4
Let f(b) = -2*b**2 - 23*b + 11. Let t be f(-12). Let s be t - (0 + (-5 - -1)). Factor -1/2*n**2 + 1/3 - 1/6*n**s + 1/6*n + 1/6*n**4.
(n - 2)*(n - 1)*(n + 1)**2/6
Factor 498 + 3*f**2 - 60*f - 984 + 423.
3*(f - 21)*(f + 1)
Let c(a) be the second derivative of 3*a**4 - 17*a**3 + 289*a**2/8 + 15*a - 10. Factor c(k).
(12*k - 17)**2/4
Let w(k) be the first derivative of k**3/3 - k**2 + k + 39. Factor w(d).
(d - 1)**2
Suppose -10*r - 2*r = -1164. Let h = 97 - r. Factor 0*c + h - 3/8*c**3 + 3/8*c**2.
-3*c**2*(c - 1)/8
Let l(a) be the second derivative of -a**8/1512 + a**7/315 - 2*a**5/135 - 7*a**2/2 - 23*a. Let h(y) be the first derivative of l(y). Factor h(m).
-2*m**2*(m - 2)**2*(m + 1)/9
Let j(z) be the first derivative of 0*z - 11/21*z**3 + 3/7*z**4 + 22 + 1/7*z**2. Factor j(a).
a*(3*a - 2)*(4*a - 1)/7
Let b(q) be the second derivative of -q**6/15 - q**5/5 + 2*q**4/3 + 2*q**3/3 - 3*q**2 - 2*q - 71. Factor b(j).
-2*(j - 1)**2*(j + 1)*(j + 3)
Let r(w) = 5*w**2 + 10*w - 3. Let y(m) be the second derivative of m**2/2 + 23*m. Let q(f) = r(f) + 3*y(f). Determine x, given that q(x) = 0.
-2, 0
Let m be -5 - ((-21)/(-6))/(6/(-9)). Determine z so that 1/2*z**2 - m*z**3 + 0 - 1/4*z = 0.
0, 1
Let a(n) be the first derivative of n**3/21 + 2*n**2 + 27*n/7 - 121. Factor a(p).
(p + 1)*(p + 27)/7
Let i be (-6 - (-72)/6)/(1 - -1). Let n = 12 + -7. Factor -4*q + 2*q**i - q**n - q + 4*q.
-q*(q - 1)**2*(q + 1)**2
Suppose -3*m = -27 + 3. Determine x, given that 58*x**2 - 17*x**2 - 20*x**2 - 17*x**2 + m*x = 0.
-2, 0
Let x be (-8)/10 - 759/(-945). Let t(j) be the third derivative of 0*j - x*j**7 - 1/18*j**5 + 6*j**2 + 0 + 1/45*j**6 + 0*j**3 + 1/18*j**4. Factor t(g).
-2*g*(g - 2)*(g - 1)**2/3
Let c(d) be the first derivative of -7*d**4/10 - 2*d**3/15 - 82. Find m, given that c(m) = 0.
-1/7, 0
Solve -2*q**2 - 17/5*q - 8/5 - 1/5*q**3 = 0.
-8, -1
Let x(w) = 6*w**2 - 17*w + 21. Let l(p) = -20*p**2 + 52*p - 64. Let s(b) = 5*l(b) + 16*x(b). Suppose s(y) = 0. What is y?
-4, 1
Let b(t) be the first derivative of t**6/14 - 6*t**5/35 - 3*t**4/7 + 8*t**3/7 + 9. Factor b(g).
3*g**2*(g - 2)**2*(g + 2)/7
Let z be (-2 - -4)*1 + (-6400)/36. Let s = z - -176. Determine h, given that s*h**2 + 0*h - 2/9 = 0.
-1, 1
Let i(n) be the third derivative of 2*n**7/105 - n**6/15 + n**5/15 - 94*n**2. Find x, given that i(x) = 0.
0, 1
Let r be 2*(-21)/56 - 38/(-8). Let q = 18 + -18. Solve -2/3*m**r + 0*m**2 - 2/3*m**5 + q + 4/3*m**3 + 0*m = 0 for m.
-2, 0, 1
Let v(d) be the first derivative of -5*d**4/8 + 5*d**3/6 + 5*d**2 - 10*d - 108. Solve v(g) = 0 for g.
-2, 1, 2
Let q(y) be the first derivative of -2*y**5/75 + y**4/15 - 2*y**2/15 + 2*y/15 - 62. Factor q(h).
-2*(h - 1)**3*(h + 1)/15
Let p be (-168)/189*3/(-2). Determine h, given that p*h - 2 + 2/3*h**2 = 0.
-3, 1
Let d = -2161/24 - -731/8. Determine k so that 5/3*k**2 + 2/3*k + d*k**5 + 0 + 1/3*k**4 - 4*k**3 = 0.
-2, -1/4, 0, 1
Let t(m) be the second derivative of 0 - 3*m - 1/30*m**4 - 1/150*m**5 - 1/15*m**2 - 1/15*m**3. Find w such that t(w) = 0.
-1
Let w(d) = d**2 + 2*d - 5. Let f be 5/(-5)*1*4. Let i be w(f). Let -3*q**3 + q - q**2 - 3 + 4 + 2*q**i = 0. What is q?
-1, 1
Let g be 870/(-4)*8/6. Let i be g/(-153) + (-8)/68. Let 32/9 - 14/9*n**2 + 2/9*n**3 + i*n = 0. Calculate n.
-1, 4
Suppose -s + 10 = s. Suppose 5 = s*l - 10. Factor 2*k**2 - 7*k + 4*k**2 - l*k**3 + 3*k + k.
-3*k*(k - 1)**2
Suppose 2*r = -r + 12. Let -b**2 - 7*b**4 - 3*b**2 + 3*b**4 - 4*b + 8*b**4 + r*b**3 = 0. Calculate b.
-1, 0, 1
Let s(h) = 7*h**4 + 20*h**3 - 7*h**2 - 23*h + 3. Let z(a) = 48*a**4 + 140*a**3 - 48*a**2 - 160*a + 20. Let g(o) = -20*s(o) + 3*z(o). Solve g(m) = 0.
-5, -1, 0, 1
Suppose -18/5*f**2 - 16/5 + 76/5*f = 0. Calculate f.
2/9, 4
Let m(v) = 12*v**2 - 560*v - 19600. Let n(y) = -20*y**