= 3*v, 3*v + 3 = 457*s - 456*s. Factor 1/2 - 1/2*n**2 + v*n.
-(n - 1)*(n + 1)/2
Let l = 79/651 - -2/93. Let d(o) = -653*o + 655. Let p be d(1). Determine t so that -3*t**3 + 9/7*t**4 + 9/7*t + l*t**p + 2/7 = 0.
-1/3, 1, 2
Let d(j) be the second derivative of 0 + 22*j + 1/3*j**4 + 2/3*j**6 + 4/21*j**7 + 0*j**2 + 4/5*j**5 + 0*j**3. Factor d(s).
4*s**2*(s + 1)**2*(2*s + 1)
Let w be ((-1 - -5)*1 - 5)*-5. Factor -8*m - 12*m**3 - 22*m**2 + 46*m**2 - 14*m**3 + 12*m**4 - 2*m**w.
-2*m*(m - 2)**2*(m - 1)**2
Let v(r) = 2*r**5 + 40*r**4 - 330*r**3 + 480*r**2 - 4*r - 4. Let o(h) = -h**5 + 2*h**4 + h**2 + h + 1. Let m(q) = 4*o(q) + v(q). What is k in m(k) = 0?
0, 2, 11
Let o(g) be the third derivative of g**5/15 + 13*g**4/48 - g**3/2 + g**2 - 6. Solve o(z) = 0.
-2, 3/8
Let k be (-37)/7 - (12/7 + -2). Let s be (k - -6)*0/(2/(-2)). Let 0*z**2 - 4/3*z**4 - 2/3*z**5 - 2/3*z**3 + 0 + s*z = 0. Calculate z.
-1, 0
Let z(b) be the third derivative of 17*b**2 + 0 + 5/2*b**4 + 2*b**3 + 0*b + 5/4*b**5. Let z(f) = 0. What is f?
-2/5
Let y(i) = -9*i**3 + 48*i**2 - 123*i + 2. Let b(v) = -38*v**3 + 191*v**2 - 491*v + 9. Let j(c) = -2*b(c) + 9*y(c). Let j(x) = 0. What is x?
0, 5
Let u(z) be the first derivative of -1/2*z**4 + z**2 + 3 - 2/5*z**5 + 2/3*z**3 + 0*z. Let u(g) = 0. What is g?
-1, 0, 1
Let n be (-16)/(-3) + (-2)/6. Suppose -6*z + n*z = -4. Factor 52*a**3 - 8*a + 16*a**z - a**2 + 4 - 11*a**2 - 36*a**3.
4*(a + 1)**2*(2*a - 1)**2
Factor -6*u**2 + 0*u**2 - 11745 - 2835 + 540*u - 2*u**2 + 3*u**2.
-5*(u - 54)**2
Find a such that 2/7*a**3 - 2/7*a + 24/7*a**2 - 24/7 = 0.
-12, -1, 1
Let h(g) be the third derivative of -g**7/42 + 3*g**6/8 - 5*g**5/4 + 35*g**4/24 + 2*g**2 + 105*g. Determine s, given that h(s) = 0.
0, 1, 7
Let l be (-2)/4 - (-11)/(-2)*-3. Determine a so that -120*a**3 - 2*a**5 + l*a**3 - 25 - 63*a**2 - 110*a - 103*a**2 - 25*a**4 = 0.
-5, -1, -1/2
Let m(h) = -12*h**3 - 28*h**2 - 16. Let a(f) = -16*f**2 + 2 - f - 1 + 17*f**2 + f**3. Let r(y) = -16*a(y) - m(y). Determine n so that r(n) = 0.
-1, 0, 4
Solve 28*n**3 - 168/5 + 20*n + 80*n**2 + 8/5*n**4 = 0 for n.
-14, -3, -1, 1/2
Let g(r) be the first derivative of 3*r**5/40 - 3*r**4/8 - r**3/4 + 9*r**2/4 - 4*r + 2. Let q(z) be the first derivative of g(z). Solve q(v) = 0 for v.
-1, 1, 3
Solve -25 - 7*k**2 + 10*k + k**2 + 9*k**2 - 4*k**2 = 0 for k.
5
Let p(m) be the first derivative of -m**6/4 - 27*m**5/5 - 51*m**4/8 - 369. Factor p(l).
-3*l**3*(l + 1)*(l + 17)/2
Let v(i) = -i**2 + 20*i - 12. Let f be v(11). Suppose -3*w - f = 2*y - 7*y, -5*y + 85 = -5*w. Let 12*a**3 + 2*a**4 + 1 - 1 + y*a**2 = 0. Calculate a.
-3, 0
Factor 0 - 4*p**3 + 0*p + 4/7*p**4 + 24/7*p**2.
4*p**2*(p - 6)*(p - 1)/7
Suppose 0 = -4*f - 3*x + 144 + 25, -2*x = 2*f - 86. Let o = f - 118/3. Find k, given that -o*k - 1/3 - 1/3*k**2 = 0.
-1
Let c be 12/8*22/(-330)*(0 - 2). Let z = 1 - 1. Factor -1/5*d**3 + 1/5*d**4 - c*d**2 + z + 1/5*d.
d*(d - 1)**2*(d + 1)/5
Let z be (-2 - -1 - -13) + 4/(-2). Suppose 0*m = 5*m - z. Factor 2 - 9/2*k**m - 11/4*k**3 - 1/2*k**4 - k.
-(k + 2)**3*(2*k - 1)/4
Let c(l) be the second derivative of l**6/30 - 9*l**5/20 + 5*l**4/2 - 22*l**3/3 + 12*l**2 + 147*l. Factor c(h).
(h - 3)*(h - 2)**3
Suppose -5*u - 2*m = -15, 4*u + 2*m = 13 - 1. Factor -29*w**u + 20*w**2 + 57*w**3 - 33*w**3.
-5*w**2*(w - 4)
Let g be (0/(-2))/(369/41). Factor g - 4*j**3 - 16/3*j - 32/3*j**2.
-4*j*(j + 2)*(3*j + 2)/3
Let q = -3501/28 - -507/4. Suppose h**5 + 0 + 3/7*h**3 + q*h**4 - 2/7*h**2 + 0*h = 0. Calculate h.
-1, 0, 2/7
Let u = -53 - -55. Factor -5*l**3 + 5*l**2 + 6*l**u + 5*l + 9*l**2 + 11*l**4 - 31*l**4.
-5*l*(l - 1)*(l + 1)*(4*l + 1)
Factor 5*s - 10/3 - 5/3*s**2.
-5*(s - 2)*(s - 1)/3
Let q(y) be the first derivative of y**6/12 + 9*y**5/10 - 21*y**4/8 + 11*y**3/6 + 301. Factor q(o).
o**2*(o - 1)**2*(o + 11)/2
Let i be -6*(-4)/(16/(-6)) - -2. Let p(c) = c**2 + 4*c - 19. Let g be p(i). Let 0*v + 0 + 2/9*v**4 - 4/9*v**3 + 2/9*v**g = 0. Calculate v.
0, 1
Let d be (34/(-561))/(1/(-11)). Factor 0 - 2*o**3 - d*o**4 - 2/3*o - 2*o**2.
-2*o*(o + 1)**3/3
Let o(x) be the third derivative of x**7/21 - 11*x**6/10 + 13*x**5/30 + 329*x**2. Factor o(g).
2*g**2*(g - 13)*(5*g - 1)
Factor -14/19 + 2/19*d**2 - 12/19*d.
2*(d - 7)*(d + 1)/19
Suppose o - 3*o = -o. Let f(h) be the second derivative of o + 7/9*h**3 + 1/9*h**4 + 3*h + h**2. Factor f(m).
2*(m + 3)*(2*m + 1)/3
Let q be (-110)/(-275) - 4/((-40)/26). Factor 1/3*m**2 + m**q - m - 1/3.
(m - 1)*(m + 1)*(3*m + 1)/3
Suppose -4*u - 12 + 48 = 0. Let 21*y**3 + 36*y**2 + u + 3*y**4 - 33*y + 3*y - 39*y**3 = 0. What is y?
1, 3
Let g(n) be the second derivative of -n**4/36 + 7*n**3/18 - 2*n**2 - 18*n + 1. What is q in g(q) = 0?
3, 4
Let f(w) be the third derivative of 1/24*w**3 + 0*w + 0 - 1/64*w**4 - 22*w**2 + 1/960*w**6 + 0*w**5. Solve f(h) = 0 for h.
-2, 1
Let u(h) be the second derivative of 0*h**2 - 1/8*h**4 - 9*h + 0 - 1/4*h**3. Factor u(l).
-3*l*(l + 1)/2
Let h(a) = -a**3 - a**2. Let p(m) = m**4 + 5*m**3 - 9*m**2 - 25*m - 12. Let b(c) = 4*h(c) + p(c). Factor b(z).
(z - 4)*(z + 1)**2*(z + 3)
Let n(j) be the second derivative of j**5/20 + 13*j**4/12 + 17*j**3/2 + 63*j**2/2 - 44*j. Factor n(c).
(c + 3)**2*(c + 7)
Let t(v) be the first derivative of v**7/42 - v**5/20 - 3*v - 13. Let d(a) be the first derivative of t(a). Factor d(z).
z**3*(z - 1)*(z + 1)
Let p(g) be the third derivative of -g**6/30 + 4*g**5/5 - 8*g**4 + 128*g**3/3 - 68*g**2. Factor p(q).
-4*(q - 4)**3
Solve -13*s**3 - 6*s**5 - 15*s - 57*s**2 + 57*s**4 + 12*s**3 + 31*s + 11*s - 20*s**3 = 0 for s.
-1, 0, 1/2, 1, 9
Let w = 10493 - 10491. Factor 6/7 + 4/7*c**w - 2*c.
2*(c - 3)*(2*c - 1)/7
Let w be 1/((1/3)/(10/6)). Factor -5 + 7*y**3 + w - 3*y**3 + 8*y**2.
4*y**2*(y + 2)
Let z(o) = 4*o**2 - 4 + 3*o**3 - 8*o**3 + 2*o - o**3. Let w(n) = 11*n**3 - 7*n + 3*n + 2 + 6 - 8*n**2. Let x(m) = 4*w(m) + 7*z(m). Solve x(q) = 0 for q.
-1, 1, 2
Suppose 33*p - 11*p - 110 = 0. Let y(l) be the second derivative of 0*l**2 - 9*l - 1/6*l**3 + 0*l**p + 0 - 1/60*l**6 + 1/8*l**4. Suppose y(d) = 0. What is d?
-2, 0, 1
Let y(l) be the first derivative of -3*l**5/5 + 39*l**4/4 - 33*l**3 + 93*l**2/2 - 30*l - 273. Let y(q) = 0. What is q?
1, 10
Suppose 660/23*r**2 - 62/23*r**3 - 2600/23*r + 2000/23 + 2/23*r**4 = 0. Calculate r.
1, 10
Find v, given that 147/2 - 45/2*v**4 + 93*v**3 - 189/2*v - 51*v**2 + 3/2*v**5 = 0.
-1, 1, 7
Let a(t) be the first derivative of t**5/60 - 5*t**4/24 + t**3 + 7*t**2/2 + 10. Let d(p) be the second derivative of a(p). Let d(g) = 0. What is g?
2, 3
Factor 885*v - 3*v**3 - 49*v**2 + 7*v**2 - 984*v.
-3*v*(v + 3)*(v + 11)
Suppose -2*o = -5*w - 3 - 65, 4*w + 170 = 5*o. Let r = -20 + o. Find d such that 6*d**3 - 3 + r*d - 9*d**2 - 1 - 7*d**2 = 0.
2/3, 1
Let a(m) be the third derivative of -m**5/12 - 65*m**4/24 + 25*m**3 - 152*m**2. Find z such that a(z) = 0.
-15, 2
Let k(i) be the second derivative of -i**6/30 + i**5/10 + 19*i**4/12 + 14*i**3/3 + 6*i**2 - 3*i. Factor k(h).
-(h - 6)*(h + 1)**2*(h + 2)
Let d be (-4 - (-145)/25)/(2/(-10)). Let z be (-112)/(-630) - 2/d. Solve -z*v**2 - 8/5*v - 8/5 = 0 for v.
-2
Suppose 0 = 3*b - 58*v + 60*v + 12, 3*b - 4*v - 24 = 0. What is g in -g**5 - g**2 + b*g + 0 + 7/3*g**4 + 7/3*g**3 = 0?
-1, 0, 1/3, 3
Let f(h) be the second derivative of -5*h**4/12 + 5*h**3/6 - 8*h. Factor f(s).
-5*s*(s - 1)
Let h(x) = 10*x**3 - 5*x**2 - 20*x - 5. Let q(b) = -11*b**2 - 1 + 10*b**2 + 0*b**2 + b**3. Let u(w) = -h(w) + 5*q(w). Suppose u(y) = 0. Calculate y.
-2, 0, 2
Suppose -2*v + 3*v = 11. Find w such that -6*w**5 - 9*w**3 + v*w**3 + w**2 - 11*w**2 + 4*w + 10*w**4 = 0.
-1, 0, 2/3, 1
Suppose -2*y + 6 = -4*y. Let f be y/(-6)*10 - 3. Find k such that 48*k**3 + 40*k**2 + 12*k + 24*k**4 + 0*k**5 + 2*k**5 + f*k**5 = 0.
-3, -1, 0
Suppose -516*v = -513*v + 6. Let l be v/12 + 4*(-114)/(-144). Solve 2*a**4 - 2/3*a**l + 2/3*a - 2*a**2 + 0 = 0.
-1, 0, 1/3, 1
Suppose -g = -457 + 461, -3*v + 16 = -4*g. Factor -2*b + 10*b**2 + v - 9/2*b**3.
-b*(b - 2)*(9*b - 2)/2
Let n(u) be the third derivative of -7*u**2 + 0*u - 1/72*u**4 + 1/9*u**3 + 0 - 1/180*u**5. Factor n(c).
-(c - 1)*(c + 2)/3
Factor -165/4*j - 21/2 + 3*j**2.
3*(j - 14)*(4*j + 1)/4
Let a be -135*2/(-24) + -9. Solve 1/4*x**3 - a*x**2 - 27/4 + 27/4*x = 0.
3
Solve 4*t**2 + 2*t**4 + 6*t**3 + 7*t**4 - 8*t*