**2 - 5/3*v + 1/3 - 10/3*v**3 + 5/3*v**4 = 0 for v.
1
Let r(z) be the first derivative of z**4/48 + z**3/24 - 2*z - 2. Let h(n) be the first derivative of r(n). Solve h(v) = 0.
-1, 0
Let t(v) be the first derivative of -v**2/2 + 12*v - 1. Let c be t(9). Find k, given that 0 + 0*k + 0*k**c - 1/4*k**4 + 1/4*k**2 = 0.
-1, 0, 1
Suppose 4*f - 5*k = -0*f + 64, -52 = -4*f + 2*k. Suppose -3*h + h + 14 = i, i - 3*h + f = 0. Factor r**3 - 2*r - 3*r + i*r.
r*(r - 1)*(r + 1)
Let q(y) be the first derivative of -y**3/3 - y**2 + 8*y - 3. Factor q(c).
-(c - 2)*(c + 4)
Let a = 3 - 1. Let q(g) = -3*g**a + g**2 - g**5 + g**2. Let d(m) = -6*m**5 - 2*m**3 - 7*m**2 + m. Let s(j) = 2*d(j) - 14*q(j). Determine i, given that s(i) = 0.
-1, 0, 1
Let p be ((-16)/(-10))/((-2)/(-5)). Solve -6/5*f**3 - 4/5*f + 2*f**2 + 2/5*f**5 + 0 - 2/5*f**p = 0.
-2, 0, 1
Let s = -17 + 13. Let l be (-1*(1 - 0))/s. Solve -l*v**4 + 0*v + 0 - 1/4*v**2 + 1/2*v**3 = 0 for v.
0, 1
Let v(l) be the second derivative of 0 - 3/80*l**5 + 1/40*l**6 + 1/48*l**4 + 0*l**3 + 5*l + 0*l**2 - 1/168*l**7. Find h, given that v(h) = 0.
0, 1
Let d(b) be the first derivative of -b**4/18 + 2*b**3/9 - 8*b/9 - 8. Find q, given that d(q) = 0.
-1, 2
Let l be (-96)/42*2/(-8). Let j(d) = d. Let t be j(2). Suppose -2/7*a + 0 - l*a**t - 2/7*a**3 = 0. Calculate a.
-1, 0
Let t(w) be the second derivative of w**7/231 - w**6/165 - 20*w. Factor t(o).
2*o**4*(o - 1)/11
Let s = 13 + -9. Let c(g) be the second derivative of -2*g - 1/6*g**s + 1/30*g**5 + 0*g**3 + 0 + 4/3*g**2. Factor c(a).
2*(a - 2)**2*(a + 1)/3
Let i(f) be the third derivative of -5*f**7/504 + f**6/24 - 3*f**5/40 - f**4/8 + f**2. Let a(s) be the second derivative of i(s). Factor a(w).
-(5*w - 3)**2
Factor 3*t**2 - 2*t**2 - 9*t**2 + 3*t**2 - 15*t.
-5*t*(t + 3)
Factor 151*i - 76*i - 79*i - 10*i**2 - 6*i**3 + 2*i**4 + 2*i**5.
2*i*(i - 2)*(i + 1)**3
Let g = -719/90 - -8. Let r(t) be the second derivative of 0 + g*t**5 + t - 1/27*t**4 + 0*t**2 + 1/27*t**3. Factor r(k).
2*k*(k - 1)**2/9
Suppose -34 = -2*o + 32. Let g be 1/(-5)*(-55)/o. Factor 0 + 0*p - g*p**2.
-p**2/3
Let y(w) be the second derivative of -w**10/13440 - w**9/20160 + w**4/3 - 6*w. Let a(z) be the third derivative of y(z). Let a(c) = 0. What is c?
-1/3, 0
Let s be (-5)/(20/(-9)) + 2/(-8). Let -2/3 - 1/3*j**s - j = 0. What is j?
-2, -1
Let f(b) = 6*b**5 + 4*b**4 + b**3 - 10*b**2 + 4*b + 6. Let n(r) = r**5 + r**4 - 2*r**2 + r + 1. Let v(u) = 2*f(u) - 11*n(u). Factor v(t).
(t - 1)**4*(t + 1)
Let 5/8*n**4 - 2*n - 1/2 + 23/8*n**3 - 1/8*n**2 - 7/8*n**5 = 0. What is n?
-1, -2/7, 1, 2
Let q(z) = -z. Let r be q(-1). Let t be r/7*(3 - 1). Find f such that 2/7*f + 0 + t*f**2 = 0.
-1, 0
Let l(q) be the first derivative of -1/3*q**6 + 0*q**2 + 3/10*q**5 + 4 + 0*q + 0*q**3 + 1/8*q**4. Solve l(u) = 0.
-1/4, 0, 1
Let p = -701 - -6311/9. Let 8/9 + 10/9*q + p*q**2 = 0. Calculate q.
-4, -1
Let s(g) be the third derivative of 1/120*g**6 + 3*g**2 + 0 + 0*g**4 + 0*g + 0*g**3 - 1/60*g**5. Factor s(u).
u**2*(u - 1)
Let c(i) = -21*i + 68. Let r be c(3). Find b such that -2/7*b**4 + 0*b**2 + 0*b + 0*b**3 + 2/7*b**r + 0 = 0.
0, 1
Let a(j) be the first derivative of -j**6/45 - j**5/15 - j**4/18 - 2*j + 6. Let d(r) be the first derivative of a(r). Factor d(x).
-2*x**2*(x + 1)**2/3
Suppose -d + 2*d + 1 = 0, -3*d - 3 = -4*x. Find a such that 1/3*a**3 - 1/3*a**2 + 0 + x*a = 0.
0, 1
Let c = 141 + -281/2. Let n = -5 + 7. Factor -1/2*x**n + x - c.
-(x - 1)**2/2
Suppose -3*c - 4*i = -2*i - 9, 0 = -c + 3*i + 14. Suppose -c*f - 3*a + 43 = 0, 13 = 2*f - 0*f - 3*a. Factor 12*y + 1 + 0*y**4 + f*y**4 + 1 + 24*y**3 + 26*y**2.
2*(y + 1)**2*(2*y + 1)**2
Let s(w) be the first derivative of w**4/4 - 2*w**3/3 + w**2/2 - 2. Let c be s(2). What is p in 2 + 5*p**c - 3*p**2 + 0 - 4*p = 0?
1
Suppose -32 = -13*i + 20. Let y(p) be the third derivative of 3*p**2 + 0*p + 0 + 0*p**3 + 1/16*p**i + 1/40*p**5. Factor y(z).
3*z*(z + 1)/2
Let p be (-1)/(-5) - (-5)/25. Factor 4/5*f + 0 - p*f**2.
-2*f*(f - 2)/5
Factor 2*b**3 + 4*b - 11*b**3 + 4 + 6*b**3 - b**3 - 4*b**2.
-4*(b - 1)*(b + 1)**2
Factor 2*v**4 - 2*v**4 - 3 + 7*v**2 - 3*v**4 - v**2.
-3*(v - 1)**2*(v + 1)**2
Let v(w) = 3*w**4 + 4*w**3 - 17*w**2 - 4*w + 7. Let s(g) = -4*g**4 - 4*g**3 + 16*g**2 + 4*g - 6. Let x(z) = 7*s(z) + 6*v(z). Determine l so that x(l) = 0.
-1, -2/5, 0, 1
Determine p so that 5/2*p**2 - 1/2*p - 3/2*p**4 - 1 + 1/2*p**3 = 0.
-1, -2/3, 1
Suppose -7*s - 2*s = -3*s. Let d(m) be the second derivative of -1/3*m**2 + 1/15*m**5 + 0*m**4 + s - 2/9*m**3 + 1/45*m**6 - m. Factor d(j).
2*(j - 1)*(j + 1)**3/3
Suppose 3*t - 11*t = -504. Let i be (24/10)/(t/30). Factor 2/7*y**3 + 0 + 8/7*y + i*y**2.
2*y*(y + 2)**2/7
Let a = -17/20 - -67/220. Let r = 29/33 + a. Find c such that r*c**2 - 1/3 + 0*c = 0.
-1, 1
Determine p, given that 0*p - 12/13*p**3 - 18/13*p**2 - 2/13*p**4 + 0 = 0.
-3, 0
Let -1/5*w**5 + 1/5*w**4 + 1/5 - 2/5*w**2 + 2/5*w**3 - 1/5*w = 0. Calculate w.
-1, 1
Let a(p) be the first derivative of p**5/25 + p**4/12 + p**3/30 - 2*p - 1. Let f(u) be the first derivative of a(u). Factor f(z).
z*(z + 1)*(4*z + 1)/5
Suppose -18 = -q + 3*x, -q - 17 = -0*q + 4*x. Suppose -6*g**2 + 3*g**2 - 3*g**q + 6*g**3 = 0. Calculate g.
0, 1
Let b(z) be the second derivative of -z**5/10 + z**4 + z**3/3 - 6*z**2 - 54*z. Factor b(p).
-2*(p - 6)*(p - 1)*(p + 1)
Let b be 9 - 2/((-6)/(-15)). Factor 0*d + 2/5*d**b - 4/5*d**3 + 2/5*d**2 + 0.
2*d**2*(d - 1)**2/5
Let z(n) be the first derivative of n**5/15 - 5*n**4/4 + 13*n**3/3 - 37*n**2/6 + 4*n + 50. Find g such that z(g) = 0.
1, 12
Let y = -12 + 14. Let v(k) be the first derivative of -8*k - 2/5*k**5 - 3*k**4 - 2 - 12*k**y - 26/3*k**3. Determine q so that v(q) = 0.
-2, -1
Let d(l) be the third derivative of 2*l**7/175 + 17*l**6/300 + 7*l**5/150 - 2*l**4/15 - 4*l**3/15 + 9*l**2. Find k such that d(k) = 0.
-2, -1, -1/2, 2/3
Let p = 68 + -26. Find y such that y**5 + y**2 + p*y - 42*y - y**4 - y**3 = 0.
-1, 0, 1
Let z(i) be the third derivative of -i**5/330 - 5*i**4/132 - 4*i**3/33 - 3*i**2. Determine h, given that z(h) = 0.
-4, -1
Let a be (-5)/25*0 + 4. Let o(f) be the second derivative of -3*f - 1/12*f**3 + 0 - 1/48*f**a - 1/8*f**2. Factor o(v).
-(v + 1)**2/4
Let o be 0/(-5) - 4/(-12). Let o*m**2 + 1/3*m + 0 = 0. Calculate m.
-1, 0
Suppose -4*g + g = b + 11, -2*g - 22 = -3*b. Suppose 2*m + 6 = b*m. Factor 0*r**3 - 2*r + 2*r**3 + 0*r**m.
2*r*(r - 1)*(r + 1)
Let v(t) = -t - 9. Let w be v(-9). Suppose w = 5*b - l, 3*b - 2*l = b. Determine f so that -6/7*f**2 + 2/7*f + b = 0.
0, 1/3
Let q(z) be the first derivative of -z**7/84 + z**6/30 - z**5/40 + 3*z + 5. Let c(s) be the first derivative of q(s). Solve c(i) = 0 for i.
0, 1
Suppose 2*i + 0*i - j - 1 = 0, 5*i - 5*j + 5 = 0. Find l such that -3 - l + l**2 + 2 + i*l - 1 = 0.
-2, 1
Let j be (87/15 - 1)*7/14. Find p such that 39/5*p**2 - 3*p**3 - j - 12/5*p = 0.
-2/5, 1, 2
Factor -2/5*x**4 - 24/5*x + 4/5*x**3 - 72/5 + 22/5*x**2.
-2*(x - 3)**2*(x + 2)**2/5
Let y(l) = -l**2 + 1. Let d be y(-1). Find o, given that -3*o**2 + 5*o**2 - 2*o + d*o**2 = 0.
0, 1
Let l(k) be the third derivative of -k**9/30240 - k**8/5040 - k**7/2520 + k**5/15 + k**2. Let n(w) be the third derivative of l(w). Factor n(f).
-2*f*(f + 1)**2
Let f(j) = -j**3 - j**2 - 3*j. Let p(a) = -4*a. Let i(d) = -4*f(d) + 5*p(d). Factor i(s).
4*s*(s - 1)*(s + 2)
Suppose x - 20 = -4*g, 3*g - 50 = -2*g + 5*x. Factor 0*n**3 - 4*n**3 + g*n + 3 + n**3 - 3*n**2 - 3*n.
-3*(n - 1)*(n + 1)**2
Factor 15*s**4 + 4*s**5 + 14*s**2 + 20*s**3 + 43 - 4*s**2 - 44.
(s + 1)**4*(4*s - 1)
Factor 1 + 0*n - 1/4*n**2.
-(n - 2)*(n + 2)/4
Let f = -443 - -11535/26. Let c = -2/13 + f. Determine m, given that 0 + 1/2*m - 3/2*m**2 + 3/2*m**3 - c*m**4 = 0.
0, 1
Let a(v) be the first derivative of -1/180*v**5 - 1/36*v**4 - 1/18*v**3 + 0*v - v**2 + 3. Let f(r) be the second derivative of a(r). Factor f(d).
-(d + 1)**2/3
Let d(i) be the second derivative of 2/25*i**5 - 2/5*i**4 + 16/15*i**3 - 8/5*i**2 - 2*i - 1/150*i**6 + 0. Suppose d(w) = 0. Calculate w.
2
Let u(h) = -2*h**3 + 12*h**2 + 2*h - 4. Let r(m) = m**3 + m**2 + m - 1. Let t(v) = 4*r(v) - u(v). Suppose t(a) = 0. Calculate a.
0, 1/3, 1
Let n(g) be the first derivative of 2*g**3/39 + 18*g**2/13 + 162*g/13 + 33. Factor n(w).
2*(w + 9)**2/13
Let d(g) be