t i(w) = -2*w**2 - 9*w - 6. Let p be i(-3). Suppose 0 + 0*y + 0*y**2 + 2/7*y**5 + 0*y**p + 2/7*y**4 = 0. Calculate y.
-1, 0
Let w be (0 - -2)*3/1. Let v(k) = -4*k**4 - 10*k**3 - 6*k**2 + 5*k - 5. Let u(h) = 4*h**4 + 11*h**3 + 7*h**2 - 6*h + 6. Let j(o) = w*v(o) + 5*u(o). Factor j(f).
-f**2*(f + 1)*(4*f + 1)
Factor 0*b**2 + 2*b**2 + 506*b - 2 - 2*b**3 - 504*b.
-2*(b - 1)**2*(b + 1)
Let z(c) be the first derivative of -c**3/18 - c**2/6 + 2. Solve z(n) = 0 for n.
-2, 0
Let o(u) be the second derivative of 1/6*u**3 + 2*u + 0 - 1/20*u**5 + 0*u**2 + 0*u**4. Let o(v) = 0. What is v?
-1, 0, 1
Let b(z) be the third derivative of 1/20*z**5 + 0 - z**2 + 7/72*z**4 + 0*z + 1/72*z**6 + 1/9*z**3 + 1/630*z**7. Suppose b(a) = 0. What is a?
-2, -1
Suppose -3 = b, -5*q - b + 6 = 2*b. Solve -7*d**2 - q*d**3 - 9*d + 27 - 7*d**2 - d**2 + 0*d**2 = 0 for d.
-3, 1
Factor -2/11*u**2 + 0 + 0*u - 2/11*u**4 - 4/11*u**3.
-2*u**2*(u + 1)**2/11
Factor -1 - g**4 + 0*g + 1 + g - g**3 + g**2.
-g*(g - 1)*(g + 1)**2
Determine a, given that 4/13*a**2 + 2*a**4 + 0 - 22/13*a**3 - 8/13*a**5 + 0*a = 0.
0, 1/4, 1, 2
Let l(c) be the first derivative of 10*c**6/3 + 5*c**5 - 15*c**4/4 - 25*c**3/3 - 5*c**2/2 + 39. Find t such that l(t) = 0.
-1, -1/4, 0, 1
Let a = 42 + -39. Let h(u) be the first derivative of 0*u - 2 + 2*u**a - u**2 + 2/5*u**5 - 3/2*u**4. Find t, given that h(t) = 0.
0, 1
Let o(d) = -d**3 - 21*d**2 - 2*d - 40. Let b be o(-21). Let -4/9 + 2/9*q**3 - 8/9*q**b + 10/9*q = 0. What is q?
1, 2
Let t(f) = f**2 - 26*f - 27. Let r(s) = s**2 - 17*s - 18. Suppose -2*h + 16 = -0*h. Let v(y) = h*r(y) - 5*t(y). Factor v(o).
3*(o - 3)*(o + 1)
Let t(b) be the second derivative of b**7/42 + b**6/30 + 7*b. Factor t(o).
o**4*(o + 1)
Suppose 2*k = -0*k - 4, 3*k = -3*q. Let -10/9*x**q - 2/9*x**4 + 0 - 4/9*x - 8/9*x**3 = 0. What is x?
-2, -1, 0
Let y(g) be the second derivative of 0*g**2 + 1/4*g**4 + 1/10*g**5 - g + 1/6*g**3 + 0. Let y(b) = 0. Calculate b.
-1, -1/2, 0
Let f(i) be the first derivative of -2*i**3/27 - 5*i**2/9 + 4*i/3 - 53. Let f(m) = 0. Calculate m.
-6, 1
Let w = -3 - -12. Let v(g) = 177*g**5 + 81*g**4 + 3*g**3 - 9*g. Let u(c) = 88*c**5 + 41*c**4 + 2*c**3 - 4*c. Let l(d) = w*u(d) - 4*v(d). Factor l(h).
3*h**3*(4*h + 1)*(7*h + 2)
Let s(u) be the second derivative of -u**6/375 + 2*u**4/75 - 17*u. What is i in s(i) = 0?
-2, 0, 2
Let w(c) be the first derivative of -2*c**3/3 - c**2 + 9. Suppose w(a) = 0. What is a?
-1, 0
Let x(u) be the first derivative of -3 - 375/4*u**4 + 75*u**3 - 45/2*u**2 + 3*u. What is q in x(q) = 0?
1/5
Let o = 43 - 85/2. Let r(a) be the first derivative of -1/10*a**5 + 1/3*a**3 - o*a + 2 + 0*a**2 + 0*a**4. Determine u so that r(u) = 0.
-1, 1
Let i(v) be the second derivative of -v**4/18 - 5*v**3/9 + 22*v. Suppose i(l) = 0. Calculate l.
-5, 0
Let k(y) be the first derivative of -20*y**4 - 2 + 0*y + 32/5*y**5 - 2*y**2 + 34/3*y**3. Factor k(l).
2*l*(l - 2)*(4*l - 1)**2
Let f(o) be the first derivative of -o**4/16 - o**3/6 + o**2/8 + o/2 + 6. Solve f(d) = 0 for d.
-2, -1, 1
Let b(y) be the second derivative of -y**4/108 - y**3/54 + y**2/9 + 3*y. Factor b(h).
-(h - 1)*(h + 2)/9
Suppose -2/7*v**2 + 4/7*v + 6/7 = 0. Calculate v.
-1, 3
Suppose 3*v = 4*v - 5. Determine o so that o**3 + 6*o**4 + 2*o**5 - 3*o**v + o**2 - 7*o**4 = 0.
-1, 0, 1
Let f be (-2)/(-4)*(-5 - 1). Let l be -3*-1*(-2)/f. Determine s so that -2/9 - 2/3*s**l + 8/9*s = 0.
1/3, 1
Suppose -9 - 6 = -3*h. Let a(n) = -10*n**2 - 4. Let k(v) = 7*v**2 + 3. Let l(y) = h*a(y) + 7*k(y). Let l(g) = 0. Calculate g.
-1, 1
Let y(t) = 7*t**5 - 4*t**4 - 12*t**3 + 20*t**2 - 5*t. Let h(f) = 20*f**5 - 12*f**4 - 36*f**3 + 60*f**2 - 16*f. Let q(u) = 3*h(u) - 8*y(u). Factor q(x).
4*x*(x - 1)**3*(x + 2)
Let a(u) = 6*u**2. Suppose 3*t - 6*t = 3. Let k(i) = i**2 - 1. Let c(p) = t*a(p) + 8*k(p). Suppose c(h) = 0. Calculate h.
-2, 2
Suppose 4*x + 0*x = -4*m + 24, 0 = -x + 2. Let n(d) = d**2 - 3*d - 4. Let s be n(m). Factor s*y**2 + 1/5*y**4 - 1/5 + 2/5*y - 2/5*y**3.
(y - 1)**3*(y + 1)/5
Suppose 0 = 2*i + 4, 3*i - 7*i = 5*v - 22. Let x(f) = 5*f**3 - 5*f**2. Let n(z) = 14*z**3 - 14*z**2. Let b(s) = v*n(s) - 17*x(s). Suppose b(t) = 0. Calculate t.
0, 1
Let o(f) be the second derivative of 2*f**7/21 - 2*f**5/5 + 2*f**3/3 + 43*f. Solve o(z) = 0 for z.
-1, 0, 1
Let b = -2 + 0. Let w be -10*(-1)/(-5)*b. Determine j so that 2 + 8*j**3 + j**4 + 8*j - j**4 + 12*j**2 + 2*j**w = 0.
-1
Let -4*o**5 - 4*o**4 - 4 + 0*o**4 - 4*o + 0*o**3 + 8*o**3 + 10*o**2 - 2*o**2 = 0. What is o?
-1, 1
Find h such that 0*h**5 + 140*h**4 - 137*h**4 - 3*h**5 = 0.
0, 1
Suppose 0 + 0*z**2 - 2/13*z**4 + 0*z + 2/13*z**3 - 4/13*z**5 = 0. Calculate z.
-1, 0, 1/2
Let d(y) be the third derivative of y**8/1680 - y**6/200 + y**5/150 + 14*y**2. Find q, given that d(q) = 0.
-2, 0, 1
Factor -k**2 + 7*k - k - 5*k - 3*k + 3.
-(k - 1)*(k + 3)
Let i(a) = a**2 - 1. Let q(j) = 10*j**2 - 20*j - 35. Let u(x) = -15*i(x) + q(x). Factor u(f).
-5*(f + 2)**2
Factor 14/15*r - 2/15*r**2 - 4/3.
-2*(r - 5)*(r - 2)/15
Let r(q) be the second derivative of q**6/6 + q**5/4 - 5*q**4/12 - 5*q**3/6 - 74*q. Factor r(w).
5*w*(w - 1)*(w + 1)**2
Let -18*a**4 + 39*a**4 + 9*a**3 + 6*a**2 - 18*a**4 = 0. What is a?
-2, -1, 0
Let d(f) be the first derivative of -1/2*f**2 - 2 - 1/3*f**3 + 0*f. Factor d(j).
-j*(j + 1)
Let i = -2 + 5. Factor 0*s**3 + i*s**3 + 3 - 9 - 5*s - 4*s.
3*(s - 2)*(s + 1)**2
Let b(t) be the first derivative of t**6/60 - t**4/4 - 2*t**3/3 + 2*t**2 - 3. Let k(q) be the second derivative of b(q). Factor k(u).
2*(u - 2)*(u + 1)**2
Solve 15*f**3 - 7*f - 15*f**4 + 5*f**4 - 4806*f**2 - 13*f - 5*f**5 + 4826*f**2 = 0 for f.
-2, 0, 1
Factor 11*o - 3*o**2 - o**2 - 8*o + 5*o.
-4*o*(o - 2)
Let s(t) be the first derivative of -t**5/15 - t**4/3 - 2*t**3/3 - 2*t**2/3 - t/3 + 4. Solve s(x) = 0.
-1
Let y(x) = -x**3 - 8*x**2 + 9*x. Suppose 3*g + 15 = -12. Let w be y(g). Let 0*m**2 + m**5 + m**2 + m**4 - m**3 - 2*m**2 + w*m**2 = 0. What is m?
-1, 0, 1
Let q(c) = -c**3 + 6*c**2 + 6*c. Let z be q(7). Let r = 13 + z. Solve -2/3*m - r*m**3 - 4*m**2 + 0 = 0 for m.
-1/3, 0
Let t(n) be the second derivative of -n**7/490 - n**6/280 + n**5/140 + n**4/56 - 11*n**2/2 + 3*n. Let z(y) be the first derivative of t(y). Factor z(k).
-3*k*(k - 1)*(k + 1)**2/7
Let x be (-25)/(-9) + 4/18. Suppose 5*h - h**2 - 2*h**3 + 3*h**x - 3*h**2 - 2 = 0. What is h?
1, 2
Factor 46*a**4 - 3*a**3 + 3*a**3 - 3*a**3 - 49*a**4.
-3*a**3*(a + 1)
Let c be -4 + (-2)/((-16)/36). Solve 0 - 1/4*p**2 + c*p = 0.
0, 2
Determine a so that -1944/11*a - 108/11*a**2 - 11664/11 - 2/11*a**3 = 0.
-18
Let i(b) = -26*b**4 - 122*b**3 - 142*b**2 - 32*b. Let c(y) = -25*y**4 - 123*y**3 - 141*y**2 - 32*y. Let m(h) = -2*c(h) + 3*i(h). Factor m(g).
-4*g*(g + 2)**2*(7*g + 2)
Factor 2/7*w**3 + 0*w - 4/7*w**2 + 2/7*w**4 + 0.
2*w**2*(w - 1)*(w + 2)/7
Let p(s) = 2*s**2 + 2*s - 2. Let w be p(-2). Factor t**3 - 5*t + 2*t**2 + 3*t**3 + w - 4*t**4 + 0*t + t**5.
(t - 2)*(t - 1)**3*(t + 1)
Let i(v) be the first derivative of v**7/42 + v**6/10 + 3*v**5/20 + v**4/12 - 4*v + 5. Let p(w) be the first derivative of i(w). Solve p(m) = 0.
-1, 0
Suppose -5*i + 3 = t - 20, -2*t + 2*i = 2. Factor -6*k**2 + 3*k + t*k + 3*k**2 + 4 + 5*k**2.
2*(k + 1)*(k + 2)
Let o(h) be the first derivative of -9*h**6/14 + 9*h**5/35 + 3*h**4/2 - 2*h**3/7 - 15*h**2/14 - 3*h/7 + 7. Find y such that o(y) = 0.
-1, -1/3, 1
Let w(n) be the first derivative of 2/5*n**5 + 0*n + 0*n**2 - 4/9*n**3 + 2 + 1/6*n**4. Determine g, given that w(g) = 0.
-1, 0, 2/3
Suppose -23*i - 3*i**2 + 44*i**4 - 49*i**2 + 8 + 15*i**5 + 4*i**3 + 3*i + i**5 = 0. What is i?
-2, -1, 1/4, 1
Let b = 9 + -5. Let g be (6 + 0)*(-3)/(-9). Factor o**4 + o**4 + b*o**3 + 2*o**g + 0*o**3.
2*o**2*(o + 1)**2
Let q(s) = s + 3. Let i be q(0). Factor 25*w**2 + 6*w - 4*w**2 + 7*w**3 - i + 5*w**3.
3*(w + 1)**2*(4*w - 1)
Let f = 112 - 110. Let -1/2*g + 1/2*g**f + 0 = 0. Calculate g.
0, 1
Let g(k) be the first derivative of -3*k**4/16 + 7*k**3/12 - k - 1. Find f, given that g(f) = 0.
-2/3, 1, 2
Determine p so that 2*p**2 - 6*p**2 - 9*p**3 + 7*p**3 = 0.
-2, 0
Let p(x) be the second derivative of -x**6/30 + 3*x**5/20 - x**4/4 + x**3/6 - 5*x. Factor p(h).
-h*(h - 1)**3
Let n be 1*(-11 + 1) - -10. Solve 2/3*v**2 - 5/3*v**3 - 4/3*v**4 + v**5 + 0*v + n = 0.
-1, 0