*d**2 + 5/2*d - 10/3*d**3 = 0.
-1, 0, 3/4
Let g = -892 + 8029/9. Factor -2/9*a + g*a**2 + 1/9.
(a - 1)**2/9
Let c(f) be the first derivative of -10*f - 4*f**2 - 9 + 2/3*f**3. Suppose c(g) = 0. Calculate g.
-1, 5
Let n(h) be the third derivative of -h**7/210 + h**6/90 + 3*h**3/2 - 27*h**2. Let j(k) be the first derivative of n(k). Solve j(z) = 0 for z.
0, 1
Solve -11*v**3 - 3*v**5 + 17*v - 5 - 24*v**2 + 6*v**4 + 20*v**3 - 5*v + 5 = 0 for v.
-2, 0, 1, 2
Let o(u) = -147*u + 738. Let z be o(5). Determine h, given that -h**z + 11/4*h**2 - 1/2 - 5/4*h = 0.
-1/4, 1, 2
Let z be (-375)/55 - -11 - 2/11. Let o(g) be the second derivative of 0*g**2 + 0 + 1/2*g**z + 2/3*g**3 - 10*g. Factor o(s).
2*s*(3*s + 2)
Let y = -43750/19 + 2306. Let q = -258/133 + y. Determine v so that -2/7 + 12/7*v - q*v**2 = 0.
1/5, 1
Let x(o) be the first derivative of -1/2*o**2 + 18 - 2/3*o - 1/9*o**3. Factor x(u).
-(u + 1)*(u + 2)/3
Let l(r) be the third derivative of -4*r**7/2415 - r**6/60 - 13*r**5/345 + 2*r**4/69 - 797*r**2. Let l(q) = 0. Calculate q.
-4, -2, 0, 1/4
Let c(u) be the third derivative of -u**6/480 + u**5/16 - 59*u**4/96 + 15*u**3/8 - 7*u**2 - 4*u. Let c(v) = 0. Calculate v.
1, 5, 9
Let h be ((-3)/20)/((-7)/28). Suppose 1/5*d**2 + 2/5 - h*d = 0. What is d?
1, 2
Let j(c) = -20*c - 1 - 7 + 2*c**2 + 14*c. Let h be j(-8). Let -32/3 + 272/3*a - 108*a**3 - h*a**2 = 0. What is a?
-2, 2/9
Let q(r) be the second derivative of -r**6/20 + 7*r**4/8 + 3*r**3/2 - 6*r - 10. Factor q(i).
-3*i*(i - 3)*(i + 1)*(i + 2)/2
Let o(k) be the third derivative of -k**7/210 + k**6/90 + k**5/30 - k**4/6 - 8*k**3/3 + 16*k**2. Let b(z) be the first derivative of o(z). Factor b(i).
-4*(i - 1)**2*(i + 1)
Factor -2*x**4 - 262*x**2 + 0*x**4 + 4*x**4 + 270*x**2 - 8*x**3.
2*x**2*(x - 2)**2
Let n(c) be the first derivative of 4*c**5/5 + 22*c**4 + 188*c**3 + 440*c**2 + 400*c - 37. Let n(p) = 0. Calculate p.
-10, -1
Let x(o) be the third derivative of -o**7/42 - 19*o**6/24 - 17*o**5/4 - 245*o**4/24 - 40*o**3/3 + 3*o**2 + 11. Factor x(y).
-5*(y + 1)**3*(y + 16)
Factor 2/5*s - 2/5*s**3 - 8/5 + 8/5*s**2.
-2*(s - 4)*(s - 1)*(s + 1)/5
Let f(q) be the second derivative of -14*q + 0 + 8/21*q**3 - 1/7*q**4 - 2/7*q**2. Factor f(m).
-4*(m - 1)*(3*m - 1)/7
Let x = -189 + 193. Let q(c) be the first derivative of -10/3*c**3 - x - 5*c**4 + 10*c**2 - c**5 + 15*c. Factor q(b).
-5*(b - 1)*(b + 1)**2*(b + 3)
Let l(i) be the first derivative of -2*i**3/21 + 8*i**2/7 + 18*i/7 - 59. Suppose l(c) = 0. Calculate c.
-1, 9
Let k(a) = 20*a**3 - 32*a**2 - 22*a. Let l(v) = v. Let o(b) = 3*b - 24. Let y be o(10). Let i(c) = y*l(c) + k(c). Factor i(h).
4*h*(h - 2)*(5*h + 2)
Suppose 497 = o - 131. Let w = -4387/7 + o. Determine c, given that 6/7*c + 3/7*c**2 - w = 0.
-3, 1
Let g(b) be the first derivative of 5*b**2 - b**5 - 5/2*b**4 + 20/3*b**3 - 15*b + 9. Factor g(u).
-5*(u - 1)**2*(u + 1)*(u + 3)
Let x(g) be the first derivative of -2*g**6/21 + 8*g**5/7 - 25*g**4/7 - 117. Factor x(j).
-4*j**3*(j - 5)**2/7
Let l(t) = -t + 4. Let v be l(0). Suppose h + h - 20 = v*o, -5*o - 12 = 4*h. Let -3/5*a**h + 6/5*a**3 + 0*a + 0 - 3/5*a**4 = 0. What is a?
0, 1
Suppose -4*k = 0, 2 = m - k - 2. Let a(h) = -h**2 + 5*h + 8. Let u be a(6). Factor -12*f**3 - 2*f**4 - m + 0*f**4 - 24*f - 4 - 26*f**u.
-2*(f + 1)**2*(f + 2)**2
Let a be ((-4)/(-6))/(35/(-50)*8/(-42)). Suppose 1 - 29/4*l**2 + 343/8*l**3 - 55*l**4 + 175/8*l**a - 7/2*l = 0. What is l?
-2/7, 2/5, 1
Let d(k) be the third derivative of 1/180*k**6 + 0*k**3 + 1/90*k**5 + 0 + 0*k - 1/18*k**4 - 17*k**2. Factor d(n).
2*n*(n - 1)*(n + 2)/3
Let q(g) be the third derivative of -g**7/210 + 17*g**6/40 + g**2 + 157*g. Factor q(h).
-h**3*(h - 51)
Let w(n) be the second derivative of -n**7/1470 - n**6/420 - n**5/420 + 11*n**2 + 13*n. Let d(q) be the first derivative of w(q). Find f such that d(f) = 0.
-1, 0
Let l = -10 - -118. Let j = -970/9 + l. Factor 0 + 4/9*f**2 + 2/9*f**5 + 0*f**3 - 4/9*f**4 - j*f.
2*f*(f - 1)**3*(f + 1)/9
Let p(m) be the third derivative of 0 - 1/10*m**5 - 1/360*m**6 - 3/2*m**4 - 12*m**3 + 0*m - 40*m**2. Suppose p(n) = 0. Calculate n.
-6
Let i(h) be the first derivative of -h**6/6 + h**5/5 + 3*h**4 + 335. Factor i(a).
-a**3*(a - 4)*(a + 3)
Let g(s) = -s**3 - 36*s**2 - 35*s. Let l be g(-35). Let y(m) be the first derivative of 1/2*m**2 + 3 + m**3 + 1/5*m**5 + 3/4*m**4 + l*m. Factor y(b).
b*(b + 1)**3
Suppose 5*m + s = -1, -4*m + 3 = -m - 3*s. Let c(f) be the first derivative of -2/25*f**5 + 0*f**4 + m*f**2 + 2/15*f**3 - 4 + 0*f. Suppose c(y) = 0. What is y?
-1, 0, 1
Let l be 10/((-2)/(-2 + 0)). Factor -10*p + l*p**2 + 0 + 7 - 5*p**2 - 2.
5*(p - 1)**2
Let t(q) be the first derivative of -q**7/56 + q**6/20 - 3*q**5/80 + 22*q + 23. Let j(r) be the first derivative of t(r). Determine c, given that j(c) = 0.
0, 1
Let j(f) be the first derivative of -2/9*f**3 + 2/9*f**2 - 4 + 1/18*f**4 + 0*f. Determine q, given that j(q) = 0.
0, 1, 2
Let w(s) = -1. Let j(t) = -t**3 + 11*t**2 - 8*t - 14. Let p be j(10). Suppose 2*b - p + 4 = 0. Let q(y) = y**2 + y - 1. Let h(v) = b*q(v) - w(v). Factor h(r).
r*(r + 1)
Suppose 0 = -57*n + 75 + 267. Let c(q) be the first derivative of -52/3*q**3 - 92/5*q**5 + 0*q + 14/3*q**n + 5 + 27*q**4 + 4*q**2. Factor c(t).
4*t*(t - 1)**3*(7*t - 2)
Let z(k) be the third derivative of k**8/3024 - k**7/1890 - k**6/360 + k**5/540 + k**4/108 + 212*k**2. Let z(f) = 0. Calculate f.
-1, 0, 1, 2
Let f(o) be the first derivative of 2/45*o**3 + 0*o**2 - 4 + 0*o - 2/75*o**5 + 0*o**4. Factor f(w).
-2*w**2*(w - 1)*(w + 1)/15
Let j(n) = 26*n**5 + 24*n**4 + 14*n - 14. Let d = -106 - -120. Let h(q) = -9*q**5 - 8*q**4 - 5*q + 5. Let r(w) = d*h(w) + 5*j(w). Solve r(p) = 0 for p.
-2, 0
Suppose 0*m**4 - m**4 - 4 - 859*m**3 - 3*m**2 + 857*m**3 + 8*m + 2*m**4 = 0. What is m?
-2, 1, 2
Let b(w) be the second derivative of -w**7/14 + 7*w**6/10 + 3*w**5/20 - 7*w**4/4 - 44*w. Find o such that b(o) = 0.
-1, 0, 1, 7
Suppose -4*v - 12 = -6*v. Suppose d = v*d. Factor 7*j**3 + 19*j**2 + 1 - 3 - 2 + 8*j + d*j**3.
(j + 1)*(j + 2)*(7*j - 2)
Let -10/11*j**2 + 2/11*j**3 - 2/11*j + 10/11 = 0. What is j?
-1, 1, 5
Let t(b) = b**3 + b**2 + b - 1. Let x(l) = 6*l**3 + 8*l**2 + l - 5. Let i(f) = 5*t(f) - x(f). What is z in i(z) = 0?
-4, 0, 1
Let w(k) be the third derivative of 7*k**6/300 + 29*k**5/75 + 121*k**4/60 + 2*k**3 + k**2 + 49. Find g such that w(g) = 0.
-5, -3, -2/7
Let b(a) be the second derivative of 4*a**7/147 - a**6/15 - 17*a**5/70 + a**4/14 + 3*a**3/7 + 27*a - 3. Determine k, given that b(k) = 0.
-1, 0, 3/4, 3
Let d be 6/((-5)/((-100)/190)). Determine b so that -2/19*b**2 - 18/19 - d*b = 0.
-3
Let r(p) = -21*p**4 - 9*p**3 - 6*p**2 + 18*p - 9. Let i(k) = -3*k**4 + k - 1. Let g(n) = 9*i(n) - r(n). Factor g(u).
-3*u*(u - 1)*(u + 1)*(2*u - 3)
Factor 6/13 + 2/13*g**2 + 8/13*g.
2*(g + 1)*(g + 3)/13
Let a = -55161 + 55163. Factor -3/4*z**a - 7/4 + 5/2*z.
-(z - 1)*(3*z - 7)/4
Let u(n) be the first derivative of 0*n**3 - 2 - 4*n + 0*n**2 + 1/36*n**4. Let v(w) be the first derivative of u(w). Factor v(b).
b**2/3
Let f = 230/159 - 59/53. Factor 1/3*c**2 - f*c**4 - 1/3*c + 1/3*c**3 + 0.
-c*(c - 1)**2*(c + 1)/3
Find z, given that -50*z - 3*z**4 + 25*z**3 + z**4 - 698*z**2 - 7*z**3 + 668*z**2 = 0.
-1, 0, 5
Let b(p) = -630*p - 1888. Let v be b(-3). Factor -1/2*y + 1/6*y**v + 1/3.
(y - 2)*(y - 1)/6
Let j(q) be the second derivative of 73*q**5/80 - 223*q**4/96 + 79*q**3/48 - q**2/8 + 8*q - 43. Factor j(o).
(o - 1)*(2*o - 1)*(73*o - 2)/8
Let i(c) = c**2 - 2*c + 1. Let s be i(3). Let t = -2 - -4. Suppose -a**3 + 0 - 1/2*a + 1/4*a**s + 5/4*a**t = 0. What is a?
0, 1, 2
Factor 146/3 - 2/3*s**2 - 48*s.
-2*(s - 1)*(s + 73)/3
Let m(o) be the third derivative of -o**7/315 - o**6/45 + 11*o**5/90 - o**4/6 - 15*o**2 - 2*o. Determine f so that m(f) = 0.
-6, 0, 1
Suppose -4*u - 4*f + 50 = -u, 4*f - 40 = -2*u. Let g be (-88)/(-20) - 4/u. Factor -6*m**2 - m**3 + 3 - g*m + 3*m**2 + 5*m.
-(m - 1)*(m + 1)*(m + 3)
Suppose 5*g = 3*o + 17, 0 = -8*g + 7*g - 5*o + 9. Factor -62*t**3 - 2*t**2 - g*t + 0*t**4 + 2*t**4 + 66*t**3.
2*t*(t - 1)*(t + 1)*(t + 2)
Let k(l) = -6*l**2 + 20*l + 54. Let q(m) = -13*m**2 + 41*m + 117. Let s(w) = -9*k(w) + 4*q(w). Let s(x) = 0. What is x?
-1, 9
What is d in 2/5*d**3 - 152/5*d**2 + 2888/5*d + 0 = 0?
0, 38