 1)/2
Factor -2*i - 8*i - i**2 + 4*i**2 + 2*i**2.
5*i*(i - 2)
Let w = -262/5 + 53. What is s in 0*s**2 + 6/5*s**3 - 3/5*s**4 - 6/5*s + w = 0?
-1, 1
Suppose -5*g = -1368 + 83. Let r = g - 1281/5. Factor -2/5*m + 2/5*m**2 - r.
2*(m - 2)*(m + 1)/5
Factor -49/4*m - 1/4*m**3 - 7/2*m**2 + 0.
-m*(m + 7)**2/4
Let y = -1 - -3. Find k, given that -2*k**2 - y + 10*k + 2 - 6*k = 0.
0, 2
Let s(y) be the second derivative of -2/3*y**3 + 0*y**2 - 3*y + 0 - 5/6*y**4 + 9/10*y**5 - 1/3*y**7 + 1/3*y**6. Suppose s(c) = 0. What is c?
-1, -2/7, 0, 1
Let c(d) be the third derivative of -d**8/1176 - d**7/735 + d**6/84 + d**5/210 - 2*d**4/21 + 4*d**3/21 + 5*d**2. Let c(m) = 0. Calculate m.
-2, 1
Let q be (-40)/(-70)*21/2. Let c(u) be the first derivative of q*u - 3/4*u**4 - 15/2*u**2 - 3 + 4*u**3. Solve c(z) = 0.
1, 2
Let g(n) be the second derivative of -1/40*n**5 + 1/6*n**3 + n + 0 + 0*n**2 - 1/24*n**4. Determine y, given that g(y) = 0.
-2, 0, 1
Let c(r) be the first derivative of -2/3*r**3 - 3 + 0*r - r**2. Find p, given that c(p) = 0.
-1, 0
Let u(l) be the first derivative of l**4/14 - l**2 - 12*l/7 + 38. Let u(n) = 0. Calculate n.
-2, -1, 3
Let c(k) be the second derivative of -3/10*k**6 - k**2 + 0 + 7/20*k**5 + 3*k + 11/12*k**4 - 7/6*k**3. Solve c(z) = 0 for z.
-1, -2/9, 1
Let k = 8783/822 + -5/274. Factor -k - 2/3*x**2 - 16/3*x.
-2*(x + 4)**2/3
Let x be (-3)/(-14)*48/9. Let l = -10/21 + x. Factor -l*m**4 - 4/3*m + 0*m**2 + 4/3*m**3 + 2/3.
-2*(m - 1)**3*(m + 1)/3
Let d(x) be the first derivative of -2*x**4/21 + 5*x**3/21 - x**2/7 + 4*x + 2. Let h(b) be the first derivative of d(b). What is r in h(r) = 0?
1/4, 1
Let j(o) be the first derivative of -o + 1/18*o**4 + 0*o**3 + 0*o**2 + 1/30*o**5 - 2. Let y(h) be the first derivative of j(h). Factor y(m).
2*m**2*(m + 1)/3
Let l(h) be the second derivative of h**6/300 + h**5/150 - h**4/60 - h**3/15 - 5*h**2/2 + 2*h. Let o(v) be the first derivative of l(v). Factor o(i).
2*(i - 1)*(i + 1)**2/5
Factor 9/5*l**2 - 1/5*l**3 - 3*l - 5.
-(l - 5)**2*(l + 1)/5
Let b(r) be the third derivative of -1/720*r**6 - 3*r**2 + 0 - 1/360*r**5 + 1/1260*r**7 + 0*r**3 + 0*r + 1/144*r**4. Factor b(s).
s*(s - 1)**2*(s + 1)/6
Let p(l) be the first derivative of -l**5/10 + l**3/3 - l/2 - 7. Find r, given that p(r) = 0.
-1, 1
Let v(q) be the third derivative of -q**5/240 + 5*q**4/96 - q**3/4 - 4*q**2 - 6. What is y in v(y) = 0?
2, 3
Let q be 30/9 + (-4)/(-6). Factor 12*k + 2*k**4 + 4 + 13*k**2 - 3*k**4 + 2*k**q + 6*k**3.
(k + 1)**2*(k + 2)**2
Let r(l) be the first derivative of -3*l**4/4 - l**3 + 3*l**2 + 4. Find g, given that r(g) = 0.
-2, 0, 1
Let p(v) be the first derivative of v - 1 + 0*v**2 + 1/3*v**3. Let o(b) = -3*b - 1. Let q(s) = 2*o(s) - 2*p(s). Solve q(k) = 0.
-2, -1
Suppose -4/5*m**2 - 32/5 + 36/5*m = 0. Calculate m.
1, 8
Let z(l) be the second derivative of -l**6/30 - l**5/20 + l**4/12 + l**3/6 - 12*l. Suppose z(t) = 0. Calculate t.
-1, 0, 1
Let k be (-175)/(-55) - 2/11. Let u(d) be the second derivative of 0 - d + 0*d**2 + 1/24*d**4 - 1/60*d**6 + 0*d**k - 1/40*d**5 + 1/84*d**7. Factor u(i).
i**2*(i - 1)**2*(i + 1)/2
Let z(s) = -2*s**3 + 3*s**2 - 6*s. Let l(t) = -t**2 + 10*t - 7. Let n be l(9). Let x(c) = c. Let a(v) = n*z(v) + 10*x(v). Factor a(h).
-2*h*(h - 1)*(2*h - 1)
Let w(o) be the second derivative of 0*o**3 + 1/15*o**6 + 1/21*o**7 - 1/10*o**5 + 0 + 0*o**2 + 4*o - 1/6*o**4. Determine v, given that w(v) = 0.
-1, 0, 1
Let c(d) be the second derivative of d**8/1512 + 5*d**2/2 + 7*d. Let y(v) be the first derivative of c(v). Factor y(i).
2*i**5/9
Let j(y) be the first derivative of -8 - 32*y - 2*y**3 - 12*y**2 - 1/8*y**4. Find l such that j(l) = 0.
-4
Let h = 473 + -469. Suppose 0 + 6/7*n**h - 2/7*n**3 - 6/7*n**2 + 4/7*n - 2/7*n**5 = 0. What is n?
-1, 0, 1, 2
Factor 3*u + 2*u + u**2 + 0*u + 4*u**2.
5*u*(u + 1)
Find n, given that 2*n**4 - 2*n + 2*n**3 + 2*n + 2*n**3 - 2*n**5 = 0.
-1, 0, 2
Suppose 21 = g + 19. Suppose -4 = -4*s, s + 1 = -i + g. Determine w, given that -71/2*w**4 - 14*w**5 + 0*w + i - 2*w**2 - 16*w**3 = 0.
-2, -2/7, -1/4, 0
Let w be (2 + -4)/(-3 - -2). Suppose -k**w - 8/5*k + 4/5 = 0. Calculate k.
-2, 2/5
Let o = -55 + 111/2. Factor 0*h + o - 1/2*h**2.
-(h - 1)*(h + 1)/2
Let m(i) be the third derivative of -i**6/30 + i**4/2 + 4*i**3/3 + 6*i**2. Determine c so that m(c) = 0.
-1, 2
Let s(j) be the first derivative of -2 - 2/5*j**5 + 0*j**2 + 1/7*j**4 + 0*j + 0*j**3. Factor s(t).
-2*t**3*(7*t - 2)/7
Suppose 10/3*k**4 - 65/6*k + 20*k**2 - 85/6*k**3 + 5/3 = 0. What is k?
1/4, 1, 2
Factor -1/2*c**5 - c**4 - 2*c + 2*c**2 + 0 + 3/2*c**3.
-c*(c - 1)**2*(c + 2)**2/2
Suppose -8/13*o**2 + 0 + 6/13*o**4 + 0*o - 16/13*o**3 + 18/13*o**5 = 0. What is o?
-2/3, 0, 1
Let j = -40 - -40. Let i(t) be the third derivative of -1/120*t**5 - 3*t**2 - 1/48*t**4 + j + 0*t**3 + 0*t. Let i(w) = 0. Calculate w.
-1, 0
Let q(h) be the third derivative of h**6/420 - h**4/84 + 12*h**2. Find a such that q(a) = 0.
-1, 0, 1
Let h = -23 - -81. Let a = -172/3 + h. Factor -1/3*o - 1/3*o**4 - a + o**2 + 1/3*o**3.
-(o - 2)*(o - 1)*(o + 1)**2/3
Let c(z) be the third derivative of z**6/960 - z**5/480 - z**4/192 + z**3/48 - 12*z**2. Factor c(a).
(a - 1)**2*(a + 1)/8
Let k(u) be the first derivative of 2*u**3/9 - u**2 + 4*u/3 - 3. Solve k(a) = 0 for a.
1, 2
Let l(h) be the first derivative of 2/3*h**3 + 5 - 2/3*h**4 - 8/3*h + 4/3*h**2 + 2/15*h**5. What is v in l(v) = 0?
-1, 1, 2
Let g be -3 + (508/140 - (-6)/(-14)). Solve 0*j**2 + 0*j + 0 - 1/5*j**3 + g*j**5 + 0*j**4 = 0.
-1, 0, 1
Let y(j) be the first derivative of -2*j**2 - 1/3*j**3 + 1/10*j**5 - 3*j - 3 + 1/3*j**4. Let n(o) be the first derivative of y(o). Find w such that n(w) = 0.
-2, -1, 1
Let z = 316/5 - 63. Determine l, given that -3/5*l + z + 3/5*l**2 - 1/5*l**3 = 0.
1
Let r(z) be the third derivative of -z**7/420 + z**5/60 + 2*z**3/3 + 3*z**2. Let j(w) be the first derivative of r(w). What is a in j(a) = 0?
-1, 0, 1
Suppose 2*j + 1 = 3*j. Suppose -5*g = -j - 9. Determine o so that -2*o**2 + o - 2*o**3 + 0*o**2 + 0*o**g + 2*o**4 + o = 0.
-1, 0, 1
Let r(c) be the third derivative of -c**8/84 + 8*c**7/105 - c**6/5 + 4*c**5/15 - c**4/6 + 3*c**2. Let r(k) = 0. What is k?
0, 1
Let f = -113 + 117. Let l(n) be the first derivative of -2*n + 0*n**2 + 0*n**f + 4/3*n**3 + 3 - 2/5*n**5. Solve l(k) = 0 for k.
-1, 1
Let v = -1 - -4. Let i(q) = -q**2 + 5*q - 2. Let y be i(v). Solve 4/3*a**2 + 1/3*a**5 + 0 + 1/3*a + 2*a**3 + 4/3*a**y = 0 for a.
-1, 0
Solve 3/2*d**2 + 3*d + 0 = 0.
-2, 0
Let j(r) = 2*r**4 - 2*r**3 - 6*r**2 + 2*r - 2. Let p(v) = 1. Let l(y) = j(y) + 6*p(y). Let l(i) = 0. What is i?
-1, 1, 2
Let h(n) be the first derivative of -5*n**4/8 - 2*n**3/3 + n**2/4 - 33. Factor h(a).
-a*(a + 1)*(5*a - 1)/2
Let o = -89/4 + 223/10. Let f(v) be the second derivative of 0*v**2 + 0*v**3 + 0 + 1/12*v**4 - v - o*v**5. Factor f(n).
-n**2*(n - 1)
Let b be 2*(-1 + 25/10). Let -4/5*q - 2/5*q**4 + 2/5*q**2 + 4/5*q**b + 0 = 0. Calculate q.
-1, 0, 1, 2
Let k(a) = 11*a**2 - 5. Let l(u) = -39*u**2 + 18. Let m be 10/15 + (-17)/3. Let n(w) = m*l(w) - 18*k(w). Find r, given that n(r) = 0.
0
Let d(h) be the first derivative of -h**2/2 + 2*h + 3. Let g be d(0). Factor 0 + 2/3*v - 4/3*v**g + 2/3*v**3.
2*v*(v - 1)**2/3
Let l be (4 + -5)/((-1)/(-6)). Let c(i) = -i**2 - i + 1. Let q(f) = -16*f**2 - 2*f + 6. Let m(p) = l*c(p) + q(p). Factor m(n).
-2*n*(5*n - 2)
Let -3/7*w**2 - 3/7*w + 0 = 0. Calculate w.
-1, 0
Determine u, given that 0 + 0*u - 5/4*u**3 + 0*u**2 = 0.
0
Let b(s) be the first derivative of -2/3*s + 0*s**2 + 4/9*s**3 + 1 + 0*s**4 - 2/15*s**5. Factor b(v).
-2*(v - 1)**2*(v + 1)**2/3
Let c(a) be the second derivative of a**4/126 - a**3/63 - 2*a**2/21 + 35*a. Solve c(b) = 0 for b.
-1, 2
Suppose -2*p - 12 = 2*j - 3*j, 5*p + 12 = -2*j. Let v be 0 + (0 - (p - -3)). Suppose 1/2*l**2 - 3/2*l + v = 0. Calculate l.
1, 2
Let a(u) be the third derivative of 0*u + 0*u**3 + 5*u**2 - 1/300*u**6 + 0 + 1/150*u**5 + 1/30*u**4. Find v such that a(v) = 0.
-1, 0, 2
Let h(y) be the first derivative of 5*y**6/6 + y**5 - 15*y**4/4 - 5*y**3/3 + 5*y**2 - 3. Factor h(i).
5*i*(i - 1)**2*(i + 1)*(i + 2)
Suppose 10 = 2*j - 0*j. Let f(i) be the third derivative of 0*i - 2*i**2 + 0 - 1/120*i**4 + 1/300*i**j + 0*i**3. Factor f(s).
s*(s - 1)/5
Factor 0*z*