
Let 0 - 9/5*p - 3/5*p**4 + 9/5*p**3 + 3/5*p**2 = 0. Calculate p.
-1, 0, 1, 3
Let v(n) be the first derivative of 0*n + 0*n**2 - 1/20*n**5 - 2 + 1/12*n**3 + 0*n**4. Let v(h) = 0. What is h?
-1, 0, 1
Let a(q) be the third derivative of q**8/20160 - q**6/720 + q**5/60 - 2*q**2. Let s(b) be the third derivative of a(b). Determine u, given that s(u) = 0.
-1, 1
Let n(v) be the second derivative of 0 + 2*v - 2*v**2 - 16/3*v**3 - 77/12*v**4 - 49/20*v**5. Factor n(o).
-(o + 1)*(7*o + 2)**2
Let j(s) = 9*s**3 - 11*s**2 - 38*s + 7. Let f(q) = 3*q**3 - 4*q**2 - 13*q + 2. Let k(z) = -11*f(z) + 4*j(z). Factor k(n).
3*(n - 1)**2*(n + 2)
Suppose -g = 1, 4*g + 18 = -2*d + d. Let i be 4/d - 40/(-35). Solve -2/7*m**5 + 0*m + 0 - 2/7*m**2 - i*m**4 - 6/7*m**3 = 0.
-1, 0
Let 20*o**2 - 5*o**5 + 4*o**4 - 8*o + 16*o**4 - 30*o**3 + 3*o = 0. Calculate o.
0, 1
Let w be (-22)/40 + 2*(-36)/(-96). Determine x, given that 1/5 - w*x**3 + 1/5*x - 1/5*x**2 = 0.
-1, 1
Let h(s) be the second derivative of 4*s - 1/3*s**4 + 2*s**2 + 0*s**3 + 0. Let h(f) = 0. What is f?
-1, 1
Let u(o) be the second derivative of 3/20*o**5 - 1/2*o**3 - 1/4*o**4 + 3/2*o**2 - 4*o + 0. Solve u(t) = 0 for t.
-1, 1
Let k be ((-4143)/30)/((-4)/8). Let q = -275 + k. Factor 0 - 6/5*i**2 + q*i**4 - 3/5*i**5 + 3/5*i + 0*i**3.
-3*i*(i - 1)**3*(i + 1)/5
Let y(f) be the second derivative of -10*f - 1/20*f**6 + 1/12*f**4 + 0 - 1/84*f**7 + 1/4*f**2 - 1/20*f**5 + 1/4*f**3. Factor y(v).
-(v - 1)*(v + 1)**4/2
Let r(b) be the first derivative of -b**7/35 + b**6/300 + b**5/75 + b**2 + 6. Let l(d) be the second derivative of r(d). Solve l(c) = 0 for c.
-1/3, 0, 2/5
Let n be (4/12)/(3/54). Suppose -2*r + n = -f - 0*r, 0 = 5*f + 3*r - 35. Find h, given that 0*h**3 + 0*h + 1/5 + 1/5*h**f - 2/5*h**2 = 0.
-1, 1
Factor -153*s + 4*s**2 - 170*s + 0*s**2 + 307*s.
4*s*(s - 4)
Suppose -2*f + 43 = -1. Let o(h) = 26*h**2 + 16*h - 21. Let g(z) = -5*z**2 - 3*z + 4. Let r(a) = f*g(a) + 4*o(a). What is w in r(w) = 0?
-1, 2/3
Let n = -3739 - -168269/45. Let a(r) be the first derivative of 2/9*r**3 - n*r**5 + 1/6*r**4 - 2/9*r**2 + 3 + 0*r + 1/9*r**6. Suppose a(g) = 0. What is g?
-2/3, 0, 1
Let v(p) be the first derivative of -36*p**5/25 + 6*p**4/5 + 44*p**3/15 - 8*p**2/5 - 16*p/5 + 4. Determine n so that v(n) = 0.
-2/3, 1
Let q(n) be the first derivative of -3*n**4/4 - 4*n**3 - 6*n**2 + 13. What is x in q(x) = 0?
-2, 0
Let p(b) be the second derivative of 4*b + 1/66*b**4 + 0*b**2 - 1/33*b**3 + 0. What is m in p(m) = 0?
0, 1
Suppose -2*t + 547 - 123 = 0. Let s = 1490/7 - t. What is g in -s*g**3 + 2/7*g + 0 + 4/7*g**4 + 0*g**2 = 0?
-1/2, 0, 1
Suppose 0*k = v - k + 11, k - 4 = 0. Let m(q) = -2*q**2 - 3*q - 1. Let b(f) = 5*f**2 + 6*f + 3. Let y(a) = v*m(a) - 3*b(a). Let y(x) = 0. What is x?
1, 2
Let b(t) be the third derivative of t**6/24 + t**5/4 + 5*t**4/12 - 12*t**2. Determine i, given that b(i) = 0.
-2, -1, 0
Let j(n) be the second derivative of n**4/78 + 2*n**3/39 + n**2/13 + 11*n. Factor j(z).
2*(z + 1)**2/13
Let c(v) = 86*v**2 - 18*v + 6. Let x(n) = n**2 + 1. Let p(h) = -c(h) + 5*x(h). Factor p(s).
-(9*s - 1)**2
Let c = 1517 - 10617/7. Factor c*d + 0 - 2/7*d**2.
-2*d*(d - 1)/7
Let i(v) be the second derivative of 0 - 2/5*v**2 + 1/5*v**3 - v + 0*v**4 - 1/50*v**5. Factor i(o).
-2*(o - 1)**2*(o + 2)/5
Let z(f) be the third derivative of 1/20*f**5 - 1/12*f**4 + f**2 + 0*f + 1/60*f**6 + 0 + 0*f**3. Factor z(w).
w*(w + 2)*(2*w - 1)
Suppose 2*x - 5*t - 5 = 0, 0*x + 11 = 3*x - 4*t. Factor p**2 + 5 - x + 2*p.
p*(p + 2)
Let m = -16 + 15. Let h be 9/6 - m/2. Solve 4/3 - 2/3*b**3 + 4/3*b - b**h + 1/3*b**4 = 0 for b.
-1, 2
Let l be 1*(0 - 3) + 6. Solve 3/2*b**4 + 0 - 1/2*b**2 + 0*b - b**l = 0.
-1/3, 0, 1
Let k(x) be the first derivative of -x**7/210 + x**6/60 - x**5/60 + x**2/2 + 2. Let a(i) be the second derivative of k(i). Solve a(p) = 0 for p.
0, 1
Suppose -3*a + 3 = -9. Factor 4*k**3 - k**3 - 3*k**2 - 2*k + 0*k**3 - a*k.
3*k*(k - 2)*(k + 1)
Factor 6*q**2 + 15*q**3 - 16*q + 16*q + 3*q**5 + 12*q**4.
3*q**2*(q + 1)**2*(q + 2)
Let s(j) be the first derivative of j**3/4 - 3*j**2/8 - 3*j/2 + 12. Solve s(q) = 0 for q.
-1, 2
Let t(u) be the third derivative of 7/80*u**5 + 3/160*u**6 + 0*u**3 - 9/140*u**7 - 1/16*u**4 + 0*u + 11*u**2 + 0. What is f in t(f) = 0?
-2/3, 0, 1/3, 1/2
Let v be 3/(-9)*-3 - (-1 + 0). Let r(h) be the first derivative of 1/4*h + 1/4*h**v - 1/8*h**4 - 1/12*h**3 - 1. Suppose r(j) = 0. Calculate j.
-1, -1/2, 1
Let s(d) be the second derivative of 1/15*d**3 + 1/12*d**4 + 0*d**2 + 1/25*d**5 + 1/150*d**6 + 0 + 3*d. Suppose s(x) = 0. What is x?
-2, -1, 0
Let c = 3 + 1. Suppose c*z - 13 = 3. Find q, given that 2*q**z + 0*q**3 + q**3 + q**3 = 0.
-1, 0
Let k(b) be the third derivative of b**7/11340 + b**6/1620 + b**5/540 + b**4/24 + b**2. Let q(r) be the second derivative of k(r). Let q(y) = 0. What is y?
-1
Let o = -4081/4 - -1000. Let t = -75/4 - o. What is u in -3/2*u**5 + 0*u - t*u**2 - 9/2*u**4 + 0 - 9/2*u**3 = 0?
-1, 0
Let o(l) = 2*l - 1. Let f be o(1). Let h be (-1 - -3 - 3) + f. Factor 0*n + 2/7*n**3 + 0 + h*n**2 + 2/7*n**4.
2*n**3*(n + 1)/7
Let y(s) be the second derivative of s**6/20 + 3*s**5/40 - s**4/8 - s**3/4 + 4*s. Factor y(g).
3*g*(g - 1)*(g + 1)**2/2
Factor 75/7*y**3 + 0*y + 0 + 3/7*y**5 - 30/7*y**4 + 0*y**2.
3*y**3*(y - 5)**2/7
Suppose 0 = -g - 2*g + 66. Let m(x) = x**4 - x. Let a(b) = b**5 - 19*b**4 + 22*b**3 - 24*b**2 + 20*b. Let o(j) = g*m(j) + 2*a(j). Solve o(n) = 0 for n.
0, 1, 3
Let l(i) be the third derivative of i**5/50 - i**4/15 + i**3/15 + i**2. Factor l(k).
2*(k - 1)*(3*k - 1)/5
Let b(v) be the second derivative of -v**6/10 + 3*v**5/20 + 3*v**4/2 + 31*v. Factor b(q).
-3*q**2*(q - 3)*(q + 2)
Suppose -45 + 9 = -4*o + 5*d, 4*d = -4*o. Suppose 2*a - o = -0. Solve 2*c**2 - c - c**a + 0*c - 2 = 0.
-1, 2
Let b(l) be the first derivative of 32*l**6/9 + 176*l**5/15 + 43*l**4/3 + 73*l**3/9 + 7*l**2/3 + l/3 + 3. Factor b(c).
(c + 1)**2*(4*c + 1)**3/3
Let l(k) be the third derivative of -k**8/336 - k**7/210 + k**6/24 + k**5/60 - k**4/3 + 2*k**3/3 + 4*k**2. Solve l(q) = 0 for q.
-2, 1
Let z(v) be the second derivative of v**5/80 - v**3/24 - 7*v. Factor z(j).
j*(j - 1)*(j + 1)/4
Let q = 2 - 0. Suppose q*j = -5 + 11. Find i such that -i**5 + 4*i**3 - i**3 + 0*i**5 + i**4 - i**j = 0.
-1, 0, 2
Let z = -556 + 558. Find k such that 2/7*k**5 + 18/7*k**3 + 0 - 10/7*k**4 - z*k**2 + 4/7*k = 0.
0, 1, 2
Suppose 5*o - 3*o - 34 = 0. Let g = o + -50/3. Factor -3/2*s + 5/3*s**2 + g.
(2*s - 1)*(5*s - 2)/6
Let n(j) be the third derivative of j**6/160 - 3*j**4/32 + j**3/4 + 22*j**2. What is t in n(t) = 0?
-2, 1
Let v(g) be the second derivative of -g**5/210 + g**3/21 - g**2/2 + 2*g. Let z(n) be the first derivative of v(n). Suppose z(b) = 0. What is b?
-1, 1
Let y(p) be the third derivative of -1/420*p**6 - 1/588*p**8 + 0 - p**2 + 1/245*p**7 + 0*p + 0*p**5 + 0*p**4 + 0*p**3. Factor y(x).
-2*x**3*(x - 1)*(2*x - 1)/7
Suppose 4*q = 5*h + 32, -3*h = 5*q - 0*h - 3. Suppose -y = 4*y + k - 3, 3 = q*y + k. Solve 3/2*z**3 + y*z - 3/2*z**5 + z**4 - z**2 + 0 = 0.
-1, 0, 2/3, 1
Solve 0 - 1/5*k**5 + 7/5*k**2 - 9/5*k**3 - 2/5*k + k**4 = 0 for k.
0, 1, 2
Let i = 689/644 + -9/23. Let v = -3/7 + i. Factor c**5 + 0 + v*c**2 - 3/4*c**3 + 0*c + 0*c**4.
c**2*(c + 1)*(2*c - 1)**2/4
Let j(r) = -5*r**3 - 1. Let l be j(-1). Let v(g) be the second derivative of 0*g**2 - 4/27*g**3 + 2*g + 0 + 2/27*g**l - 1/90*g**5. Solve v(w) = 0 for w.
0, 2
Find s, given that 0*s**2 - 2/3*s**4 + 2/3*s**3 + 0 + 0*s = 0.
0, 1
Let x(c) = 6*c**2 + 29*c + 24. Suppose 0*l = l - 5. Let a(w) = 3*w**2 + 15*w + 12. Let f(b) = l*a(b) - 3*x(b). Let f(t) = 0. What is t?
-2
Let u(c) = c**3 + 7*c**2 + 5*c - 7. Let y be u(-6). Let a(b) = -b. Let h(q) = 2*q**2 + 4*q - 2. Let m(l) = y*h(l) - 4*a(l). Factor m(z).
-2*(z - 1)*(z + 1)
Let k(j) = j**5 + j - 1. Let p(c) = -9*c**5 + 10*c**4 + 4*c**3 + 5*c - 5. Let q(u) = 10*k(u) - 2*p(u). Solve q(y) = 0 for y.
-2/7, 0, 1
Let b(i) be the third derivative of -i**7/280 + 3*i**5/80 + i**4/16 - 5*i**2. Factor b(s).
-3*s*(s - 2)*(s + 1)**2/4
Let h(l) be the second derivative of -3*l**4/4 + 2*l**3 + 6*l**2 - l. Find i, given that h(i) = 0.
-2/3, 2
Let v(r) be the second derivative of 11*r**5/20 - 7*r**3/6 - 9*r**2/2 + 8*r. Let m(k) = 5*k**3 - 3*k - 4. Let d(w) = 