z + 12. Let d(h) = -5*u(h) + 12*w(h). Determine g, given that d(g) = 0.
-2, 0
Let g(x) be the third derivative of -x**5/100 + x**4/40 + x**3/5 + 15*x**2. Let g(v) = 0. Calculate v.
-1, 2
Factor 3/7*h**3 + 0 + 6/7*h**2 + 3/7*h.
3*h*(h + 1)**2/7
Let o(c) be the first derivative of -c**4/10 + 4*c**3/15 - 4. Suppose o(q) = 0. What is q?
0, 2
Let t be (3 - (-34)/(-12))*6/2. Let f = 2 - 2. Factor -t*z**3 + z**2 - 1/2*z + f.
-z*(z - 1)**2/2
Suppose 0 = -4*g + 25 - 9. Let x(y) be the second derivative of 0*y**g + 1/80*y**5 + 0*y**3 + 0*y**2 + 0 + 1/120*y**6 - y. Find v such that x(v) = 0.
-1, 0
Let m(p) be the first derivative of 3*p**4/8 - p**3/2 - 3*p**2/2 + 8. Solve m(d) = 0.
-1, 0, 2
Let r be (-2517)/630 + 12/3. Let k(j) be the third derivative of 0 + 1/3*j**4 + 1/20*j**6 - r*j**7 - 1/5*j**5 + 0*j**3 - j**2 + 0*j. Factor k(h).
-h*(h - 2)**3
Factor -21 - 5*r**3 + 21 + 3*r**2 + 4*r**3 - 2*r.
-r*(r - 2)*(r - 1)
Let b be -2 + (-12)/(3 + -5). Let q be 5 + (b + -1)*-1. Let -3*i**2 + i + 1 + i**q - i**3 + 2*i**4 - 1 = 0. Calculate i.
-1, 0, 1/2, 1
Let u(x) = x**2 - x + 1. Let m(g) = 10*g**3 + 20*g**2 - 2*g. Let a(o) = m(o) - 4*u(o). Factor a(b).
2*(b + 1)**2*(5*b - 2)
Factor -3 + 2*j - 1/3*j**2.
-(j - 3)**2/3
Let 45*h**2 - 5*h**4 + 5*h**3 - 108 - 256*h**5 + 505*h**5 - 250*h**5 = 0. What is h?
-3, 2
Let z = -87 - -92. Factor 2/5*d**z + 4*d**3 + 2*d**4 + 4*d**2 + 2/5 + 2*d.
2*(d + 1)**5/5
Let n(z) be the first derivative of -z**5/30 - 6*z + 4. Let b(u) be the first derivative of n(u). Solve b(a) = 0.
0
Let g(w) be the first derivative of -w**8/5040 + w**7/1260 + 2*w**3/3 - 2. Let f(q) be the third derivative of g(q). Factor f(k).
-k**3*(k - 2)/3
Let x(v) be the first derivative of -v**7/420 + v**5/20 + v**4/6 + 4*v**3/3 - 1. Let z(k) be the third derivative of x(k). Factor z(m).
-2*(m - 2)*(m + 1)**2
Let v(b) be the first derivative of -2*b**3/9 - 8*b**2/9 - 8*b/9 + 11. What is c in v(c) = 0?
-2, -2/3
Let g(h) be the first derivative of 0*h + 1/13*h**2 + 2/13*h**3 - 1/26*h**4 - 5 - 6/65*h**5. Solve g(m) = 0.
-1, -1/3, 0, 1
Let n = -48 - -961/20. Let g(l) be the second derivative of 0*l**2 + 0 - 1/6*l**3 + 1/30*l**6 + 2*l + n*l**5 - 1/12*l**4. Suppose g(c) = 0. Calculate c.
-1, 0, 1
Factor -37*n + 39*n + 2*n**2 + 0*n**2.
2*n*(n + 1)
Let d(q) be the second derivative of 0*q**2 - 1/28*q**7 + 1/5*q**6 + 1/2*q**4 - 1/4*q**3 - 9/20*q**5 + 3*q + 0. Factor d(r).
-3*r*(r - 1)**4/2
Let g be 8/5 + (-4)/(-10). Find l, given that 19*l + l**3 - 2*l**g + 23*l - l**5 - 42*l + 2*l**4 = 0.
-1, 0, 1, 2
Let r(x) be the first derivative of -25*x**6/6 + 3*x**5 + 35*x**4/4 - 5*x**3 - 5*x**2 + 25. Solve r(a) = 0 for a.
-1, -2/5, 0, 1
Let o = -22 + 52. Suppose -5*m + o - 10 = v, m + v = 0. Factor 2*i + 1 + m - 3*i**2 - 4 - i.
-(i - 1)*(3*i + 2)
Let m(r) be the third derivative of r**8/42 - 2*r**7/21 + r**5/3 - r**4/3 + 4*r**2. Suppose m(v) = 0. What is v?
-1, 0, 1/2, 1, 2
Let g be 2/(-5) + (-1528)/960 - -2. Let y(d) be the third derivative of 0*d + g*d**6 + 0 + 0*d**3 + 0*d**5 - 1/24*d**4 - d**2. Find w such that y(w) = 0.
-1, 0, 1
Let p(m) be the second derivative of -2*m**6/75 - 3*m**5/25 + m**4/15 + 2*m**3/5 + m. Factor p(a).
-4*a*(a - 1)*(a + 1)*(a + 3)/5
Let t = 6 - 4. Suppose -m - t*m = 5*v - 24, m = -v + 6. Factor 2*r**3 - m + 4 + 2*r**4 - 2 - r + 2*r**2 - r**5 - 3*r**4.
-(r - 1)**2*(r + 1)**3
Let j(k) be the second derivative of k**7/14 - 3*k**5/20 - 3*k. Suppose j(o) = 0. What is o?
-1, 0, 1
Let r be (-8)/30*(-15)/40. Let u(w) be the first derivative of r*w**4 + 2/15*w**3 - 2/25*w**5 - 1/5*w**2 - 2 + 0*w. Solve u(q) = 0 for q.
-1, 0, 1
Factor 5*k**4 + 2*k + 5*k**5 - 10*k**3 - 21*k**2 + 3*k + 11*k**2 + 5.
5*(k - 1)**2*(k + 1)**3
Let y(m) = 4*m**3 - 16*m**2 + 14*m - 6. Let o(j) = 19*j**3 - 80*j**2 + 70*j - 31. Let w(l) = -2*o(l) + 11*y(l). Suppose w(q) = 0. What is q?
2/3, 1
Let p = 1841/180 - 51/5. Let s(l) be the third derivative of 1/18*l**3 + 0 - l**2 + 1/180*l**5 + p*l**4 + 0*l. Factor s(h).
(h + 1)**2/3
Suppose -5*b = 4 - 19. Find k such that b*k**2 - k**3 + 0*k - 3*k + 0 + 1 = 0.
1
Suppose -d = -5*d - 4*d. Factor 0*s - 3/4*s**2 + d.
-3*s**2/4
Let o(d) = -2*d**4 - 5*d**3 - 11*d**2 - 3*d. Let g(j) = j**3 - j**2 - j. Let k(y) = 6*g(y) - 2*o(y). Let k(b) = 0. Calculate b.
-2, 0
Let o(p) be the second derivative of p**7/210 - p**6/50 + p**5/50 + p**4/30 - p**3/10 + p**2/10 + 28*p. Suppose o(b) = 0. What is b?
-1, 1
Let u be 6/42*(-3 + 28/4). Factor u*l**4 - 4/7*l**2 + 0 + 2/7*l + 0*l**3 - 2/7*l**5.
-2*l*(l - 1)**3*(l + 1)/7
Let t = 493/10 + -199/5. Suppose 15/2*y**2 - 1 - t*y**3 + 7/2*y**4 - 1/2*y = 0. Calculate y.
-2/7, 1
Let g = -35 + 73/2. Factor g*j - 5/2*j**2 + 1.
-(j - 1)*(5*j + 2)/2
What is v in 2/9*v**5 + 0*v**2 - 4/9*v**3 + 0*v**4 + 2/9*v + 0 = 0?
-1, 0, 1
Let t(m) be the second derivative of -m**7/840 + m**6/180 + m**3/6 + 2*m. Let w(f) be the second derivative of t(f). Factor w(z).
-z**2*(z - 2)
Let z = -1138/15 - -76. Let d(k) be the first derivative of 0*k + 1 + 0*k**2 + 2/9*k**3 + z*k**5 + 1/3*k**4. Find r, given that d(r) = 0.
-1, 0
Solve 0 - 4/13*d + 2/13*d**2 = 0 for d.
0, 2
Let x(v) be the second derivative of -v**5/20 - v**4/6 - v**3/6 - v. Determine t, given that x(t) = 0.
-1, 0
Let k(n) = -n**2 - 6*n - 4. Let b be k(-4). Factor -75*g**2 + 74*g**2 + 0*g - g**b + 2*g**3 + 0*g.
-g**2*(g - 1)**2
Suppose -5*v + 31 = -2*o, -2*v - 6 = -16. Let p be (o/6)/(1/(-6)). Let -2 + 0*k - 9*k**2 - k**4 + 3*k**3 + 0*k**4 + 7*k + 2*k**p = 0. Calculate k.
1, 2
Let b(v) = v**2 - v + 1. Let x(f) = 3*f**2 - 2*f + 3. Suppose -q = -2*q + 8. Let g(i) = q*b(i) - 3*x(i). Determine n so that g(n) = 0.
-1
Let w = -2 + 5. Determine y so that -y**w + 5*y + 0*y**3 + y**4 - y - y**2 - 3*y = 0.
-1, 0, 1
Suppose 5*m - 16 = -y + 24, 5*y + m - 224 = 0. Suppose -x + 6*x = y. Factor -9*q - 2*q**4 - 8*q**3 - 8*q**2 + x*q.
-2*q**2*(q + 2)**2
Let v(l) be the third derivative of -l**5/15 - l**4/6 + 4*l**3/3 + 2*l**2. Let v(w) = 0. Calculate w.
-2, 1
Suppose 4/7*j**3 + 4/7*j**4 - 2/7*j - 8/7*j**2 + 4/7 - 2/7*j**5 = 0. Calculate j.
-1, 1, 2
Let r(t) be the second derivative of -t**4/84 + t**3/21 + 3*t**2/14 - 9*t. Factor r(z).
-(z - 3)*(z + 1)/7
Let a(n) = -11*n**2 - 16*n. Let l be 12/10 - 10/50. Let f(c) = -c**2 + 1. Let o(d) = l*a(d) - 4*f(d). Factor o(h).
-(h + 2)*(7*h + 2)
Suppose 2*u + 2 = -4*t + 6, -5*t + 8 = 4*u. Factor -4*n + 2 - n**2 + 5*n + t*n.
-(n - 2)*(n + 1)
Let d(c) be the third derivative of -c**5/12 + 10*c**3/3 - 22*c**2 - 2. Solve d(s) = 0 for s.
-2, 2
Let t(b) be the second derivative of 0 - 2*b - 1/18*b**4 + 4/9*b**3 - 4/3*b**2. Suppose t(k) = 0. Calculate k.
2
Let r(t) be the first derivative of -2*t**3/9 + 4*t**2/3 - 2*t - 76. Factor r(i).
-2*(i - 3)*(i - 1)/3
Suppose 2*d + 8 = u, -5*d - 11 = 2*u - 0*u. Solve 2*v**4 + 2*v - 2*v**2 + 5 - 5 - u*v**3 = 0.
-1, 0, 1
Let t = -222031/78 + 2847. Let p = t + 2/39. Find f such that -p*f**2 - 1/2 - f = 0.
-1
Let f(p) be the first derivative of -p**3/9 - 10*p**2/3 - 100*p/3 + 28. Factor f(z).
-(z + 10)**2/3
Let r = 14 + -10. Suppose -2*f - u = -0*u - 4, u - r = 3*f. Factor f + 1/2*s**2 + 1/2*s.
s*(s + 1)/2
Let j(r) be the third derivative of -r**11/665280 + r**10/302400 + r**5/12 + 2*r**2. Let s(h) be the third derivative of j(h). What is o in s(o) = 0?
0, 1
Let g = 21 + -19. Factor 0 - 1 - d**2 + 0*d**g + 2.
-(d - 1)*(d + 1)
Let y(v) = v**3 + 6*v**2 + 3*v - 6. Let j be y(-5). Factor -6 - 2*n**2 + 2*n**3 + 2*n**j + 6 - 2*n + 0.
2*n*(n - 1)*(n + 1)**2
Let g be (34/(-119))/((-6)/28). Find y such that g*y**5 - 1/3*y + 4/3*y**4 - 4/3*y**2 + 0 - y**3 = 0.
-1, -1/2, 0, 1
Let o(r) be the third derivative of -r**5/300 - r**4/30 - 2*r**3/15 + 20*r**2. Find k, given that o(k) = 0.
-2
Factor 1/2*t**3 + 0 - 3/2*t**2 + 3/2*t**4 - t + 1/2*t**5.
t*(t - 1)*(t + 1)**2*(t + 2)/2
Let f = -11 + 9. Let t(u) = -u**4 + u**3 + u**2 - u. Let w(v) = -3*v**4 + 2*v**2 + 1. Let c(a) = f*t(a) + w(a). Factor c(o).
-(o - 1)*(o + 1)**3
Let u(q) = -6*q**5 + 3*q**3 - 3*q**2. Let c(a) = 7*a**5 + a**4 - 3*a**3 + 3*a**2. Let h(y) = -3*c(y) - 4*u(y). Factor h(m).
3*m**2*(m - 1)**2*(m + 1)
Let j = 2 + 4. Suppose 5*g - 4 = j. Factor 5*x - 5*x + 3*x - 7*x**2 - g + 6*x.
-(x - 1)*(7*x - 2)
Let g(i) be the third derivative of 0 - 1/10*i**6 - 1/168*i**8 - 5*i**2 + 2/15*i**5 + 