- 6 = 0, -2*r + 8 = 5*z. Suppose -o = z*o - 6. Suppose o + 2 + x + 6*x - x + 2*x**2 = 0. Calculate x.
-2, -1
Let f(h) be the third derivative of -h**5/240 + h**4/96 - 6*h**2. Factor f(o).
-o*(o - 1)/4
Let l(v) be the second derivative of v**10/60480 - v**9/30240 - v**8/13440 + v**7/5040 - v**4/6 - v. Let q(f) be the third derivative of l(f). Factor q(w).
w**2*(w - 1)**2*(w + 1)/2
Let o(q) = 12*q**3 - 12*q**2 - 5*q + 12. Let z(v) = 4*v**3 - 4*v**2 - 2*v + 4. Let r(w) = 2*o(w) - 7*z(w). Factor r(j).
-4*(j - 1)**2*(j + 1)
Let p be (7 + (-185)/25)/((-12)/10). Factor -p*v**4 - 1/3 + 0*v + 2/3*v**2 + 0*v**3.
-(v - 1)**2*(v + 1)**2/3
Let n = -465/4 + 117. Let w = 3 + -11/4. Suppose 0 + n*g**3 + 1/4*g + w*g**4 + 3/4*g**2 = 0. Calculate g.
-1, 0
Find b, given that -1/3*b**2 - 4/3*b - 4/3 = 0.
-2
Factor 0 + 1/5*r + 1/5*r**3 + 2/5*r**2.
r*(r + 1)**2/5
Let d(f) be the first derivative of -f**4/14 + 2*f**3/21 + 2*f**2/7 + 11. Factor d(z).
-2*z*(z - 2)*(z + 1)/7
Let u(i) be the third derivative of i**8/504 - i**7/315 - i**6/60 + i**5/18 - i**4/18 + 3*i**2. What is l in u(l) = 0?
-2, 0, 1
Let l(p) = 2*p**5 - p**4 + 11*p**3 - 4*p**2 + p - 2. Let s(v) = v**5 + 5*v**3 - 2*v**2 - 1. Let c(b) = 3*l(b) - 7*s(b). Suppose c(z) = 0. What is z?
-1, 1
Factor 2/9*b**3 + 0*b**2 - 2/3*b + 4/9.
2*(b - 1)**2*(b + 2)/9
Let z(x) = 20*x**4 - 36*x**3 + 16*x**2 + 8*x - 8. Let g(c) = -7*c**4 + 12*c**3 - 5*c**2 - 3*c + 3. Let s(u) = 8*g(u) + 3*z(u). Let s(j) = 0. Calculate j.
0, 1, 2
Let p(r) be the second derivative of r**6/180 - r**5/90 - r**2 + 2*r. Let z(k) be the first derivative of p(k). Determine m, given that z(m) = 0.
0, 1
Let c(f) = -3*f**3 + 30*f**2 - 37*f + 10. Let b(w) = w**3 - 15*w**2 + 19*w - 5. Let z(v) = 7*b(v) + 4*c(v). Let z(t) = 0. What is t?
1
Let z(w) be the second derivative of -w**8/16800 + w**6/1800 + w**4/12 - w. Let c(j) be the third derivative of z(j). Determine v, given that c(v) = 0.
-1, 0, 1
Let r be -3*2/(-6)*-2. Let p(k) = -k**3 + 3*k + 3. Let q be p(r). Determine l so that -2*l**2 + 1 + q - 2 + 2*l = 0.
-1, 2
Let k(x) = x**3 - 2*x**2 - 14*x - 3. Let v be k(5). Find i, given that 14/3*i**v + 32/3*i + 8/3 = 0.
-2, -2/7
Factor -8 + r**3 + 0*r**3 + 8*r**2 - 7*r**3 - 4*r + 10*r**3.
4*(r - 1)*(r + 1)*(r + 2)
Let h be (22/77)/(2/2). Solve 0 - h*r - 2/7*r**4 - 6/7*r**2 - 6/7*r**3 = 0 for r.
-1, 0
Let s(z) be the third derivative of z**5/20 + z**4/8 + 4*z**2. Determine g, given that s(g) = 0.
-1, 0
Let k(s) be the first derivative of 7*s**5/20 + 23*s**4/16 + 5*s**3/3 + s**2/2 + 5. Factor k(u).
u*(u + 1)*(u + 2)*(7*u + 2)/4
Suppose 17 = 2*z + 7. Suppose -3*y**z - y**5 - y**4 - 7*y**4 = 0. What is y?
-2, 0
Solve -8/5*f**2 + 2/5*f**3 - 4/5 + 2*f = 0 for f.
1, 2
Let f(k) be the second derivative of -k**6/45 - k**5/30 - 17*k. What is w in f(w) = 0?
-1, 0
Let r(k) be the third derivative of -k**6/120 - k**5/5 - 2*k**4 - k**3 + 8*k**2. Let a(y) be the first derivative of r(y). Factor a(p).
-3*(p + 4)**2
Let j be -2 + 64/12 + 8/12. Let m(h) be the second derivative of 1/24*h**j - h + 0*h**2 + 1/12*h**3 + 0. Determine q, given that m(q) = 0.
-1, 0
Let t = 6097/8140 - -2/2035. Factor 3/4*g**3 + 1/4*g - 1/4*g**4 + 0 - t*g**2.
-g*(g - 1)**3/4
Let x(d) be the first derivative of -5*d**3/9 + 5*d**2/2 + 19. Find a, given that x(a) = 0.
0, 3
Suppose 0*h + 52 = 4*h. Let m = h + -11. Factor -2/7*c + 6/7*c**m - 6/7*c**3 + 2/7*c**4 + 0.
2*c*(c - 1)**3/7
Let z(d) be the second derivative of d**5/50 + d**4/15 + d**3/15 - 6*d. Solve z(x) = 0 for x.
-1, 0
Let x(v) be the second derivative of -v**6/60 + v**5/10 - v**4/8 - v**3/3 + v**2 - 5*v. Suppose x(o) = 0. Calculate o.
-1, 1, 2
Let r(h) be the third derivative of h**6/480 - h**4/96 + 8*h**2. Suppose r(q) = 0. What is q?
-1, 0, 1
Let g(k) be the third derivative of 2*k**2 + 0 + 0*k + 1/35*k**7 + 1/3*k**3 - 2/15*k**5 + 1/6*k**4 - 1/30*k**6. Factor g(w).
2*(w - 1)**2*(w + 1)*(3*w + 1)
Suppose 0 = 3*x - 7*x + 60. Factor -2*k**2 + 0*k - x - 3 - 12*k.
-2*(k + 3)**2
Let g(i) be the second derivative of -i**4/36 - i**3/18 + i**2/3 + 6*i. Factor g(v).
-(v - 1)*(v + 2)/3
Suppose f = -0*f. Let x(s) be the second derivative of 0*s**3 + f*s**4 + 1/56*s**7 + 1/80*s**5 + 0*s**2 + 2*s + 0 + 1/30*s**6. Solve x(n) = 0.
-1, -1/3, 0
Let n(o) = o**3 - 2*o. Let j be n(2). Let b = 294 + -292. Factor 1/2 - 3/2*q**j - 3/2*q + q**b + q**3 + 1/2*q**5.
(q - 1)**4*(q + 1)/2
Let x(o) be the second derivative of -o**5/120 - o**4/48 + o**3/6 + 5*o**2/2 - 5*o. Let l(a) be the first derivative of x(a). Factor l(k).
-(k - 1)*(k + 2)/2
Let b(s) be the first derivative of s**4/3 + 52*s**3/9 + 70*s**2/3 - 196*s/3 - 38. Factor b(w).
4*(w - 1)*(w + 7)**2/3
Suppose -k - 2*c = -12, 4*c + 13 = 2*k + 29. Suppose 3*i = -k*r + 6*i + 15, 4*r + 5*i + 3 = 0. Factor -h**3 - 2*h**2 - h**r + 4*h**3.
2*h**2*(h - 1)
Let r(a) be the second derivative of -a**7/420 - a**6/120 - a**5/120 - 7*a**2/2 + 8*a. Let k(m) be the first derivative of r(m). Factor k(y).
-y**2*(y + 1)**2/2
Let r(g) = g**2 + g - 3. Let f be r(-3). Factor -9*i + 5*i - 14*i**3 - 5*i + 17*i**f + 6.
3*(i - 1)**2*(i + 2)
Let d(t) = -13*t**2 - 17*t - 4. Let g(q) = -3*q**2 - 4*q - 1. Let r(z) = 2*d(z) - 9*g(z). Factor r(i).
(i + 1)**2
Let k = -17 + 19. Suppose 0*a**k + 3 - 4*a**2 + a**2 = 0. Calculate a.
-1, 1
Let q(n) be the third derivative of n**9/90720 - n**8/15120 + n**5/30 + 4*n**2. Let p(h) be the third derivative of q(h). Factor p(u).
2*u**2*(u - 2)/3
Let l(i) be the first derivative of -5*i**4/4 + 5*i**3/3 + 15*i**2 + 8. Determine n, given that l(n) = 0.
-2, 0, 3
Let w be 8/(-12)*3/(-4). Let y(m) be the third derivative of 0 - w*m**3 - 2*m**2 + 7/16*m**4 - 1/8*m**5 + 0*m. Factor y(r).
-3*(r - 1)*(5*r - 2)/2
Factor -3/2*a + 0 + 0*a**2 + 3/2*a**3.
3*a*(a - 1)*(a + 1)/2
Suppose 3*q - 5 = k, 11*q - 16*q = 3*k + 15. What is t in 0*t**2 + q + 5/2*t**4 - t**3 + 0*t = 0?
0, 2/5
Let n = -7 - -13. Find w such that 0*w**4 + 4*w - 8*w**2 - 6*w**2 - n*w**4 + 16*w**3 = 0.
0, 2/3, 1
Let p(f) be the first derivative of 1 + 0*f**2 + 0*f + 1/4*f**4 + 1/3*f**3. Find z, given that p(z) = 0.
-1, 0
Factor 0*j + 1/3*j**4 + 0*j**2 - 2/3*j**3 + 0.
j**3*(j - 2)/3
Let v be 4/16*(-24)/(-2). Factor 2/7*q + 1/7 - 2/7*q**v + 0*q**2 - 1/7*q**4.
-(q - 1)*(q + 1)**3/7
Suppose 76 - 79 = -g. Factor 2/9*h + 2/3*h**2 + 0 - 8/9*h**g.
-2*h*(h - 1)*(4*h + 1)/9
Suppose -4*q - q = -25. Suppose -17 + 2 = -q*r. Factor 0*l - 2/5*l**r + 0 + 0*l**2.
-2*l**3/5
Let s(u) be the third derivative of u**6/120 + 10*u**2. Factor s(z).
z**3
Let r(u) be the first derivative of -3*u**2 - 2*u + 8/3*u**3 - 4. Factor r(p).
2*(p - 1)*(4*p + 1)
Let m(r) be the first derivative of r**3 - 15*r**2 + 75*r - 9. Factor m(f).
3*(f - 5)**2
Let n(a) be the second derivative of a**5/20 - a**3/6 - 2*a. Let f(s) = -s. Let r(q) = -f(q) + n(q). Factor r(i).
i**3
Let x(o) be the third derivative of 7*o**6/120 + o**5/30 - 7*o**4/24 - o**3/3 - 8*o**2. Factor x(h).
(h - 1)*(h + 1)*(7*h + 2)
Let s(z) = z**3 - 5*z**2 + 2*z - 7. Let i be s(5). Let o be i*1*(-1)/(-1). What is j in 3*j - 4*j - 1 + 0*j**o + j**2 + j**3 = 0?
-1, 1
Solve -5*w - 10*w + w**2 + 2*w**2 + 2*w**2 = 0.
0, 3
Let w be 2*(-4)/(-12)*3. Let h(x) be the third derivative of x**w + 0 + 1/20*x**4 + 1/300*x**6 + 0*x - 1/15*x**3 - 1/50*x**5. Suppose h(z) = 0. What is z?
1
Factor 0*s + 0*s**2 + 0 - 4/3*s**3 - 2/3*s**4.
-2*s**3*(s + 2)/3
Let i = 509 - 501. Solve 8/5 - 74/5*j**2 - 16/5*j + i*j**3 = 0 for j.
-2/5, 1/4, 2
Let z(i) be the third derivative of i**9/5040 + i**8/1120 + i**7/840 - i**4/8 + 6*i**2. Let n(f) be the second derivative of z(f). Factor n(c).
3*c**2*(c + 1)**2
Let u(d) be the first derivative of d**4/4 - d**2/2 + d + 4. Let w(v) = 3*v**3 - v**2 - 4*v + 4. Let m(s) = -4*u(s) + w(s). Determine p so that m(p) = 0.
-1, 0
Factor -183/8*q**3 - 27/2*q - 21/4*q**4 - 63/2*q**2 - 3/8*q**5 + 0.
-3*q*(q + 1)**2*(q + 6)**2/8
Let j(v) be the third derivative of -v**5/15 + 5*v**4/6 - 4*v**3 - 4*v**2. Let j(y) = 0. What is y?
2, 3
Find y such that -585 + 7 - 4*y**2 - 27*y - 41*y + 2*y**2 = 0.
-17
Let f(x) be the second derivative of x**4/18 - x**3/9 + 2*x. Suppose f(q) = 0. What is q?
0, 1
Determine y so that 0 + 6/17*y**3 - 8/17*y + 2/17*y**5 - 8/17*y**4 + 8/17*y**2 = 0.
-1, 0, 1, 2
Let z(i) = -i**2 - 3 + 4 - 2*i**3 - i**4 - 1.