d**4/10 + 4*d**3/15 - 3*d**2/5 - 6. Factor y(z).
2*z*(z - 1)*(z + 3)/5
Factor -6/13 + 2/13*l**2 - 4/13*l.
2*(l - 3)*(l + 1)/13
Let 2/9*v**3 - 8/9*v**2 - 4/9 + 10/9*v = 0. What is v?
1, 2
Suppose -4*a = -0 - 4. Let -t**2 - 2 + 3*t + a - t = 0. Calculate t.
1
Factor 180/7*p**2 - 100/7*p**3 - 96/7*p + 16/7.
-4*(p - 1)*(5*p - 2)**2/7
Let r = 4 - 1. Solve 8*k**2 - 24 - 3*k**3 - 2*k**2 - 10*k + 6*k**r - 2*k = 0 for k.
-2, 2
Suppose 5*s - y = 95, -2*s + 5*y + 18 = -43. Let k be s/21 - 6/(-21). Find o such that -8/7*o**5 + 0*o + k*o**3 - 2/7*o**4 + 2/7*o**2 + 0 = 0.
-1, -1/4, 0, 1
Let d = 10 - 2. Let y be 2/(-9) + d/9. Suppose y*u + 0 - 2/3*u**2 = 0. What is u?
0, 1
Let w(j) be the third derivative of j**6/160 - j**5/80 - 27*j**2. Factor w(r).
3*r**2*(r - 1)/4
Let d(j) be the first derivative of -21/5*j**5 - 5 + 0*j + 27/4*j**4 - 2*j**3 + 0*j**2. Factor d(h).
-3*h**2*(h - 1)*(7*h - 2)
Let x(c) be the second derivative of -c**6/30 - 3*c**5/20 - c**4/4 - c**3/6 - 6*c. Factor x(l).
-l*(l + 1)**3
Let k(p) be the third derivative of -p**7/840 - p**6/360 + p**5/60 - p**3/3 + p**2. Let g(h) be the first derivative of k(h). Factor g(r).
-r*(r - 1)*(r + 2)
Let w = 153 + -5379/35. Let f = -2/7 - w. Factor 0*z**3 - f*z**4 + 0 + 2/5*z**2 + 0*z.
-2*z**2*(z - 1)*(z + 1)/5
Let o = -2 + 4. Let n be (o/(-1) - -1) + 4. Suppose 2*u**2 + 3*u + 2*u**n - u**3 - 2*u = 0. What is u?
-1, 0
Determine m so that 0*m + 5/9*m**4 + 1/3*m**2 - 1/9*m**5 + 0 - 7/9*m**3 = 0.
0, 1, 3
Suppose 4/15*y**2 + 0 - 16/15*y**4 + 2/5*y**3 + 0*y + 2/5*y**5 = 0. What is y?
-1/3, 0, 1, 2
Let f(g) = -g**3 + g**2 + g. Let b = 6 - 3. Let n(i) = -1. Let u(l) = 4. Let p(z) = b*u(z) + 10*n(z). Let s(x) = 2*f(x) - p(x). Factor s(k).
-2*(k - 1)**2*(k + 1)
Let k(j) = 10*j**2 - j - 4. Let i(o) be the second derivative of 0 + 1/6*o**3 + 3/2*o**2 - 7/12*o**4 + 2*o. Let y(u) = 7*i(u) + 5*k(u). Factor y(w).
(w + 1)**2
Let d(t) be the first derivative of -8*t**5/45 + 13*t**4/18 - 10*t**3/9 + 7*t**2/9 - 2*t/9 + 16. Solve d(j) = 0 for j.
1/4, 1
Let y(k) be the third derivative of -k**7/210 + k**6/40 - k**5/20 + k**4/24 - 13*k**2. Suppose y(g) = 0. What is g?
0, 1
Let j = -4 - -5. Factor j + 3*o**3 + 3*o**3 + o - o**2 - 2*o - 5*o**3.
(o - 1)**2*(o + 1)
Let o(x) be the first derivative of x**6/780 + x**5/390 - x**2/2 + 5. Let u(v) be the second derivative of o(v). Factor u(d).
2*d**2*(d + 1)/13
Suppose 6*l - 320 = l. Find p, given that p**2 + 0*p**2 - 2*p**2 + 32*p + 5*p**2 + l = 0.
-4
Let q(f) be the first derivative of -f**4/2 + 5*f**3/3 + 2*f**2 - 3*f - 2. Let q(c) = 0. What is c?
-1, 1/2, 3
Suppose -63 = -4*n - 627. Let c = n - -427/3. What is a in 13/3*a**2 + 4*a + 2*a**3 + c + 1/3*a**4 = 0?
-2, -1
Let v(m) be the third derivative of -m**8/2688 - m**7/1680 + m**6/960 + m**5/480 + 6*m**2. What is z in v(z) = 0?
-1, 0, 1
Factor k**5 + 2*k**3 - 8*k**5 + 5*k**5.
-2*k**3*(k - 1)*(k + 1)
Factor -2/3*g**3 + 4 + 22/3*g + 8/3*g**2.
-2*(g - 6)*(g + 1)**2/3
Let f = -50 + 352/7. Factor 18/7 + f*y**2 + 12/7*y.
2*(y + 3)**2/7
Determine i so that 32*i**5 - 29*i**4 - 27*i**5 + 14*i**4 = 0.
0, 3
Let w(u) be the second derivative of 1/120*u**5 - 2*u + u**2 - 1/12*u**3 - 1/480*u**6 + 0 + 1/96*u**4. Let p(t) be the first derivative of w(t). Factor p(n).
-(n - 2)*(n - 1)*(n + 1)/4
Suppose 3*u**5 + 4*u**3 + 0*u**5 - 7*u**3 + 0*u**3 = 0. Calculate u.
-1, 0, 1
Let l(x) be the second derivative of 7/12*x**3 - 3*x + 0 - 1/2*x**2 - 5/24*x**4. Suppose l(p) = 0. What is p?
2/5, 1
Let d be 3*(-1)/6*-4. Let m(z) be the third derivative of 0 - 1/150*z**5 + 0*z + z**d - 1/15*z**3 - 1/30*z**4. Solve m(u) = 0 for u.
-1
Let s = 2419/4 + -604. Determine i so that 0*i - 3/4*i**4 + 3/4*i**2 - s*i**5 + 0 + 3/4*i**3 = 0.
-1, 0, 1
Let z = -117/4 + 843/28. Let c = 1/385 - -439/385. Determine a, given that -z*a - c*a**2 + 2/7 = 0.
-1, 1/4
Let v(s) be the first derivative of 2/7*s - 2/7*s**2 + 1 + 1/7*s**4 - 2/21*s**3. Suppose v(x) = 0. What is x?
-1, 1/2, 1
Let r(g) = -2*g**2 - 20*g + 18. Let y(h) = -9*h**2 - 99*h + 90. Let j(p) = 24*r(p) - 5*y(p). Find s, given that j(s) = 0.
2, 3
Let m(o) be the first derivative of o**5/240 + o**4/48 + 2*o**2 + 4. Let r(b) be the second derivative of m(b). Solve r(f) = 0 for f.
-2, 0
Let a(j) = 3*j**5 - 3*j**4 - 3*j - 3. Let n(d) = -3*d**5 + 4*d**4 - d**3 + 2*d + 2. Let k(b) = -2*a(b) - 3*n(b). Factor k(l).
3*l**3*(l - 1)**2
Suppose 0 - 2/3*t**2 - 4/3*t = 0. Calculate t.
-2, 0
Factor -53*d - 2*d**4 + 102*d - 49*d.
-2*d**4
Solve 3*m**4 + 9*m**2 + 0*m**4 + 5*m**3 + 4*m**3 + 0*m**2 + 3*m = 0 for m.
-1, 0
Let d be -2 + (-2)/4 + (-171)/(-38). Find p such that 3/5*p**d + 0 - 3/5*p = 0.
0, 1
Let o(w) be the third derivative of -w**7/70 + 9*w**6/40 - 29*w**5/20 + 39*w**4/8 - 9*w**3 + 4*w**2 - 8. Let o(l) = 0. What is l?
1, 2, 3
Solve -4*v + 32*v**2 + 194*v**4 + 201*v**4 - 301*v**4 - 87*v**3 - 35*v**5 = 0 for v.
0, 2/7, 2/5, 1
Let l(m) be the first derivative of -2*m**5/55 - m**4/22 + 2*m**3/33 + m**2/11 + 1. Suppose l(h) = 0. What is h?
-1, 0, 1
Let 32/11*s + 28/11*s**3 + 8/11 + 6/11*s**4 + 46/11*s**2 = 0. What is s?
-2, -1, -2/3
Let s be 54/(-72)*(-224)/36. Determine i so that 10/3*i**4 + 4/3*i + s*i**2 + 6*i**3 + 0 + 2/3*i**5 = 0.
-2, -1, 0
Suppose -4*t + 8 + 4 = 0. Let g = 0 + t. Let 8/5*p**4 + 2/5*p**2 + 0 + 0*p - 8/5*p**g = 0. What is p?
0, 1/2
Let f = -32/3 - -11. Let g(w) be the first derivative of 2 - w**2 + f*w**3 + w. Find j, given that g(j) = 0.
1
Let z = -9 + 11. Find v, given that 0*v**z - 2*v**3 + 7 - 7 + 2*v**2 = 0.
0, 1
Let k(n) = -13*n**2 - 12*n + 11. Let d(b) = -9*b**2 - 8*b + 7. Let i(p) = 7*d(p) - 5*k(p). Let i(l) = 0. Calculate l.
-3, 1
Factor 3/4*w**2 + 0 - 15/4*w.
3*w*(w - 5)/4
Let w be 1/(-2)*2 - -4. Let o be (w/(-2) - -1)*-1. Find c such that c**2 + o*c + 0 + 1/2*c**3 = 0.
-1, 0
Let p(m) = -m**3 + 4*m**2 - 2*m + 2. Let o be p(3). Suppose r + 3 = o. Factor -6 - q**2 - 2*q**r + 2 + 3*q + 3 + q**3.
(q - 1)**3
Factor -2/3*c - 4*c**3 - 8/3*c**2 - 8/3*c**4 - 2/3*c**5 + 0.
-2*c*(c + 1)**4/3
Let k(v) be the third derivative of -2*v**7/105 + v**6/6 - 8*v**5/15 + 2*v**4/3 + 10*v**2. Solve k(d) = 0.
0, 1, 2
Let f = 5 + -2. Suppose p - 3*t = 11, f*t - t + 10 = 2*p. Find d, given that 0 + 0*d - 3*d**3 - 2/3*d**p = 0.
-2/9, 0
Let w be -8*((-15)/4 + 1). Let g be (-186)/(-55) - 4/w. Let -g*o**3 + 2/5*o**4 + 48/5*o**2 + 32/5 - 64/5*o = 0. What is o?
2
Let o(l) = l. Let i be o(-2). Let b be (-5)/(-10) - i/(-12). Factor -2/3*s + 0 + s**2 - b*s**3.
-s*(s - 2)*(s - 1)/3
Let g(b) be the first derivative of -4*b**3/39 - b**2/13 + 23. Factor g(o).
-2*o*(2*o + 1)/13
Let f be (-2 + 8/(-1))*-10. Let q be f/45 + (-2)/9. Let -4 + 2*o**2 + 2*o + 0*o**q - 4*o + 4*o = 0. Calculate o.
-2, 1
Factor 0 + 4/7*s**4 + 8/7*s**2 - 10/7*s**3 - 2/7*s.
2*s*(s - 1)**2*(2*s - 1)/7
Let p(v) be the third derivative of -v**5/120 - v**4/48 - 11*v**2. Factor p(s).
-s*(s + 1)/2
Let c(u) be the second derivative of -u + 0*u**2 - 2/15*u**6 - 1/3*u**4 + 0 - 1/42*u**7 - 3/10*u**5 - 1/6*u**3. Solve c(g) = 0.
-1, 0
Let n(d) be the first derivative of d**4/90 - d**3/45 - 2*d**2/15 - 7*d + 7. Let j(u) be the first derivative of n(u). Factor j(t).
2*(t - 2)*(t + 1)/15
Suppose -3*t + 6*t = 324. Let f be -2 - t/(-20) - 3. Factor -f*u - 4/5 + 2/5*u**2.
2*(u - 2)*(u + 1)/5
Let b**2 - 5*b + 6*b + 2*b - 4 = 0. What is b?
-4, 1
Suppose 2*b = 3*p + 2, 3*p = -p - 2*b + 16. Let w be 3 + (-4)/2 - -1. Suppose q**p + 3*q - q - w - 3*q = 0. Calculate q.
-1, 2
Let y be (0 - -3) + (-22)/(-16)*-2. Find q such that y*q**2 + 0 + 1/4*q**3 - 1/4*q**4 + 0*q - 1/4*q**5 = 0.
-1, 0, 1
Let y be (3/(-5))/(3/(-30)). Solve 1 - 2*f - y*f**2 + 0*f**4 + 2*f**4 + 2*f**3 + 3 = 0 for f.
-2, -1, 1
Suppose 6*g - 3*g - 27 = x, -35 = -4*g + x. Suppose -2*u - g = -4*y, 3*y - u - 2 - 4 = 0. Factor 0 + 0*c - 2/7*c**y.
-2*c**2/7
Suppose -f - f = -4. Let y be (4/10)/(1/5). Let -3*g**2 + g**y + g**f = 0. What is g?
0
Let n be 1 + (-4)/(-40)*-6. Let s(o) be the first derivative of -2 - 2/15*o**3 - n*o + 2/5*o**2. Find m such that s(m) = 0.
1
Let w = -8 + 10. Let o be (-11 - -13) + (-4)/w. Factor 2/9*t**3 + 0 - 2/9*t**2 + o*t.
2*t**2*(t - 1)/9
Let v(i) be the third derivative of -1/6*i**3 + 0*i - 1/3*i**4 - 4/15*i**5 + 0 - 2*i**2. Solve v(o) = 0 for o.
-1/4
Let y(s) be the third derivative of s**5/80 - s*