)**3/3
Let m = -11247/8 - -1406. Let h(f) be the first derivative of 8 + 0*f - m*f**3 + 3/16*f**2. Find x such that h(x) = 0.
0, 1
Let l(z) = -z**4 + 31*z**3 - 21*z**2 + 18*z. Let m(n) = -n**4 + 16*n**3 - 11*n**2 + 8*n. Let v(q) = 4*l(q) - 9*m(q). Suppose v(x) = 0. Calculate x.
0, 1, 3
Let h(q) be the first derivative of -4*q**3/15 - 12*q**2/5 - 4*q - 128. Solve h(g) = 0.
-5, -1
Factor 12/7*k + 2/7*k**2 + 16/7.
2*(k + 2)*(k + 4)/7
Let l = 651/2 + -325. Find u, given that -5/2*u**3 - 1/2*u**4 + 0*u + l*u**5 - 3/2*u**2 + 0 = 0.
-1, 0, 3
Suppose -15 = -16*s + 11*s. Suppose -r = 2*d - 3, 4*d = 2*r + s*r + 13. Suppose 2/7*z**d + 2/7*z**3 - 1/7 - 1/7*z**4 - 1/7*z - 1/7*z**5 = 0. Calculate z.
-1, 1
Let j(o) be the third derivative of o**5/150 - 13*o**4/30 + 23*o**3/5 + 582*o**2. Factor j(y).
2*(y - 23)*(y - 3)/5
Suppose 39*s = 38*s, t - 5*s = 2. Let y(p) be the second derivative of p - 1/42*p**4 + 2/7*p**t + 0 - 1/21*p**3. Find n, given that y(n) = 0.
-2, 1
Let f(n) be the first derivative of -n**5 + 10*n**4 - 40*n**3 + 80*n**2 - 80*n + 47. Factor f(j).
-5*(j - 2)**4
Factor -37/4*i - 9/2 - 5*i**2 - 1/4*i**3.
-(i + 1)**2*(i + 18)/4
Let b(v) = v**2 - 7*v + 65. Let f be b(0). Let c be 2/(-5) - (2 - f/25). Factor -c*h**2 + 1/5*h + 0 + 1/5*h**4 - 1/5*h**3.
h*(h - 1)**2*(h + 1)/5
Let m(g) = -25*g**4 - 2*g. Let q(t) = -t**3 + t. Suppose r = -19 + 21. Let a(y) = r*q(y) + m(y). Suppose a(p) = 0. Calculate p.
-2/25, 0
Let a(j) = -3*j - 21. Let d be a(-7). Suppose -v + 2 + 0 = d. Find i, given that -12*i + 3*i**3 + 9*i**v + i**3 - i**2 = 0.
-3, 0, 1
Let c(z) = z**5 + z**2 - z + 1. Let n(m) = m**5 + 2*m**4 - m**2 + m - 1. Let i(q) = -2*c(q) - 2*n(q). Factor i(u).
-4*u**4*(u + 1)
Let o(u) be the third derivative of u**5/12 - 25*u**4/12 + 125*u**3/6 + 273*u**2. Suppose o(t) = 0. What is t?
5
Let s(w) be the third derivative of 0*w - 5/9*w**3 + 0 + 1/630*w**7 + 11*w**2 - 29/72*w**4 - 7/360*w**6 - 3/20*w**5. Factor s(u).
(u - 10)*(u + 1)**3/3
Let l(b) = 12*b**4 - 22*b**3 + 6 + 26*b**2 - 12*b - 8*b**4 - 2*b. Let t(o) = o**3 - o**2 + o - 1. Let y(i) = l(i) + 6*t(i). Factor y(k).
4*k*(k - 2)*(k - 1)**2
Let b(f) be the third derivative of f**7/840 - 7*f**6/96 + 127*f**5/80 - 435*f**4/32 + 225*f**3/4 - 16*f**2. Let b(k) = 0. Calculate k.
2, 3, 15
Determine q, given that 3/4 - 3/8*q - 3/8*q**2 = 0.
-2, 1
Let v(n) = 18*n**4 + 32*n**3 - 90*n**2 + 40*n. Let d(b) = 125*b**4 + 225*b**3 - 630*b**2 + 280*b. Let u(m) = 3*d(m) - 20*v(m). Let u(a) = 0. Calculate a.
-4, 0, 2/3, 1
Let m(h) be the third derivative of h**7/1680 + h**6/240 + h**5/240 - h**4/48 - h**3/16 - 44*h**2. Factor m(b).
(b - 1)*(b + 1)**2*(b + 3)/8
Solve -2/7*i**2 + 0 + 34/7*i = 0 for i.
0, 17
Let v(m) be the third derivative of -17*m**7/1155 - 7*m**6/220 + 13*m**5/330 + 7*m**4/44 + 4*m**3/33 - 914*m**2. Let v(l) = 0. Calculate l.
-1, -4/17, 1
Let 3*h**2 - 9/2*h + 0 + 3/2*h**3 = 0. Calculate h.
-3, 0, 1
Let z(r) be the first derivative of -3*r**5/5 + 27*r**4 - 436*r**3 + 3024*r**2 - 9408*r - 274. Factor z(o).
-3*(o - 14)**2*(o - 4)**2
Suppose -3*f = c - 80, -2*c = -0*f - 2*f + 64. Suppose -p = -2*j - 24, -3*p - 4*j + 52 = -40. Suppose m + f + 2*m**4 - p - m**5 - 2*m**2 = 0. What is m?
-1, 0, 1
Let n = 72 + -70. Factor -29 - 2*s**n - 28*s + 8 - 77.
-2*(s + 7)**2
Let h(f) be the third derivative of -f**7/1260 + f**5/180 - 4*f**3/3 - 9*f**2. Let o(z) be the first derivative of h(z). Factor o(t).
-2*t*(t - 1)*(t + 1)/3
Let b(y) = -4*y**5 + 14*y**4 - 26*y**3 + 16*y**2 - 4*y. Let g(h) = h**4 + h**3. Let j = -24 - -25. Let s(q) = j*b(q) + 2*g(q). Find w, given that s(w) = 0.
0, 1
Let h be (-36)/(-22) - (-8)/22. Let w(y) be the third derivative of -1/8*y**4 + 1/70*y**7 + 0 - 1/20*y**5 - 2*y**h + 0*y**3 + 0*y + 1/40*y**6. Factor w(a).
3*a*(a - 1)*(a + 1)**2
Let a be (-6)/(-21) + (-55)/21. Let z = 17/6 + a. Determine u so that z*u**2 - u + 0 = 0.
0, 2
Solve 5*i**5 - 9*i**3 + 0 - 15*i**4 + 55*i**2 + 4*i**3 + 21 - 1 - 3*i - 57*i = 0 for i.
-2, 1, 2
Let c(n) be the third derivative of -n**5/15 + 15*n**4/2 + 188*n**3/3 - 33*n**2. Factor c(h).
-4*(h - 47)*(h + 2)
Solve 82/9*u**3 - 226/9*u**2 + 2/9*u**4 - 80/9*u - 2/9*u**5 + 224/9 = 0.
-7, -1, 1, 4
Suppose 5*g - 5 = -2*k, 5*g = 2*k + k + 5. Let u be 27/(-27)*(1 - g)/1. Factor 2/9*i - 4/9*i**3 + 2/9*i**5 + 0*i**2 + u + 0*i**4.
2*i*(i - 1)**2*(i + 1)**2/9
Let w = 657 - 653. Let n(r) be the third derivative of 0 - 1/30*r**6 - 1/10*r**5 - 5*r**2 + 0*r - 1/210*r**7 - 1/6*r**3 - 1/6*r**w. Factor n(u).
-(u + 1)**4
Let w be 2 + -2 - 1 - -5. Suppose -6 + w = -k. Suppose 2*f - 2*f - f**k + 0*f**2 - f**3 = 0. What is f?
-1, 0
Let x(z) be the third derivative of z**5/60 + z**4/8 + z**2 + 78. Find a, given that x(a) = 0.
-3, 0
Factor -30*j + 7*j**3 - 85590*j**2 - 47*j**3 - 5*j**4 + 85525*j**2.
-5*j*(j + 1)**2*(j + 6)
Let s(m) = -25*m**2 - 170*m + 40. Let c(u) = -2*u**2 - 13*u + 3. Let x(l) = -40*c(l) + 3*s(l). Factor x(v).
5*v*(v + 2)
Let n be (-4)/(20/(-19)) - ((16 - 27) + 14). Solve 2/5*a**5 - 2*a - 4/5*a**2 + 8/5*a**3 - n + 8/5*a**4 = 0.
-2, -1, 1
Let q(l) be the second derivative of l**5/2 + 31*l**4/6 + 17*l**3 + 9*l**2 + 139*l - 2. Factor q(r).
2*(r + 3)**2*(5*r + 1)
Suppose 33 + 32 = 5*a. Suppose -4*f + 27 + a = 0. Let -5*q**2 + q**2 + 3*q - 3*q**3 - 6 + f*q**2 = 0. What is q?
-1, 1, 2
Let c(y) be the third derivative of y**10/7560 - y**9/3780 - y**4/6 - 4*y**2. Let n(f) be the second derivative of c(f). Factor n(j).
4*j**4*(j - 1)
Find i such that 0*i**2 + 3/2*i**3 - 3/4*i**5 + 0 + 3/4*i**4 + 0*i = 0.
-1, 0, 2
Suppose -22*l**2 + 0 + 12*l**3 + 32/3*l - 2/3*l**4 = 0. What is l?
0, 1, 16
Let u = 9749/9 + -1083. Factor u*o**2 - 2/9*o - 4/9.
2*(o - 2)*(o + 1)/9
Let i(y) be the third derivative of y**7/105 - y**6/10 + y**5/6 - y**2 + 1. Let i(c) = 0. What is c?
0, 1, 5
Let f(j) = 5*j + 13. Let y be f(10). Let c be 28/y - (-2)/(-9). Suppose -2/9*v**4 + 2/9*v**3 + 0 + c*v**2 - 2/9*v = 0. Calculate v.
-1, 0, 1
Let g(w) = w + 17. Let a be g(-15). Let h(r) = -10*r**2 + 12*r - 2. Let f(k) = 10*k**2 - 12*k + 2. Let t(y) = a*h(y) + 3*f(y). Factor t(l).
2*(l - 1)*(5*l - 1)
Let d(w) be the first derivative of -4 + 1/14*w**4 - 8/7*w - 4/7*w**3 + 9/7*w**2. Factor d(m).
2*(m - 4)*(m - 1)**2/7
Let y(s) be the first derivative of 5*s + 2*s**2 + 1 - 1/3*s**4 + 0*s**3. Let i(r) be the first derivative of y(r). Suppose i(k) = 0. Calculate k.
-1, 1
Let a(y) be the first derivative of -2*y**3 - 4*y**2 - 4*y - 1. Let j(s) = -7*s**2 - 8*s - 5. Let b(m) = -5*a(m) + 4*j(m). Factor b(w).
2*w*(w + 4)
Let o(a) be the third derivative of a**7/42 - a**6/24 - a**5/4 + 5*a**4/24 + 5*a**3/3 - 22*a**2 + 1. Determine t, given that o(t) = 0.
-1, 1, 2
Let w be ((-1)/(-2))/(-20 + 1944/96). Factor 4/3*l - 4 + 1/3*l**w.
(l - 2)*(l + 6)/3
Let n(x) = 9*x + 39. Let p be n(-3). Let k be (224/p)/(-4) + 5. What is l in 0 + k*l + l**3 + 4/3*l**2 = 0?
-1, -1/3, 0
Let i(f) be the first derivative of 7*f**5 - 185*f**4/4 - 135*f**3 - 115*f**2/2 + 70*f - 242. Factor i(b).
5*(b - 7)*(b + 1)**2*(7*b - 2)
Let z(v) be the third derivative of -v**5/210 - v**4/14 - 5*v**3/21 - 142*v**2 - 1. Factor z(w).
-2*(w + 1)*(w + 5)/7
Let r = -516 + 518. Let f(t) be the third derivative of 0 + 3*t**r - 1/160*t**6 - 1/8*t**4 + 0*t**3 - 1/20*t**5 + 0*t. Factor f(u).
-3*u*(u + 2)**2/4
Let p(r) = 4*r**3 - 2*r**2 + 9*r - 8. Let d be p(1). Factor 0*b - 2/9*b**2 + 0 + 2/9*b**d.
2*b**2*(b - 1)/9
Let o be (0/(-2))/(2 - 5 - -4). Let s be (-3)/(-6)*4/6. Factor o*j + 0 + s*j**2.
j**2/3
Let a(x) be the first derivative of 4*x**3/3 - 74*x**2 - 284. Suppose a(j) = 0. Calculate j.
0, 37
Let x(i) be the first derivative of 325*i**3/3 + 265*i**2 + 160*i + 525. Factor x(j).
5*(5*j + 2)*(13*j + 16)
Let h(q) be the third derivative of q**8/36960 + q**7/6930 - q**6/1320 + q**4/2 - 14*q**2. Let o(v) be the second derivative of h(v). Factor o(c).
2*c*(c - 1)*(c + 3)/11
Suppose 0 = -5*t + 2*t + 3. Let y be 2/(-4) - t/(-2). Factor -2*k**2 + 5*k**3 + y*k + 2*k**4 + 4*k - 11*k**3 + 2*k**5.
2*k*(k - 1)**2*(k + 1)*(k + 2)
Factor -1/8*r**3 + 4096 + 12*r**2 - 384*r.
-(r - 32)**3/8
Let g(h) be the first derivative of -9*h**5/5 - 15*h**4/2 + 9*h**3 + 6*h**2 + 96. Factor g(x).
-3*x*(x - 1)*(x + 4)*(3*x + 1)
Let d = 37 - 21. Let q = 20 - d. Suppose 0 + 20*b**4 - 6*b**3 + 3 + 6*b - 11*b**