 - 1)*(j + 1)/7
Let v be (-312)/(-56) - 6/(-14). Let a be v/(-9) + (-22)/(-24). What is r in 1/4 + 1/4*r - a*r**2 - 1/4*r**3 = 0?
-1, 1
Let x = -12 - -8. Let t be (-1)/x - 1/4. Factor -4/3*l**2 + t - 2/3*l.
-2*l*(2*l + 1)/3
Let m = -67/5 - -407/30. Determine l so that 0 + m*l**3 + 1/3*l**2 + 0*l = 0.
-2, 0
Let f = 11 + -4. Let m = f - 7. What is u in m + 4/9*u**2 - 2/9*u - 2/9*u**3 = 0?
0, 1
Let p = -635 - -1907/3. Determine h so that -2/3*h + 2/3*h**3 - 2/3*h**2 + p = 0.
-1, 1
Let b(a) = a**2 - a + 1. Let z = 13 + -27. Let w(m) = 6*m**2 - 6*m + 9. Let t(f) = z*b(f) + 2*w(f). What is k in t(k) = 0?
-1, 2
Let b(w) = w - 26. Let h be b(0). Let d(r) = 4*r**2 - 3*r + 3. Let a(v) = -17*v**2 + 13*v - 13. Let j(q) = h*d(q) - 6*a(q). Factor j(i).
-2*i**2
Let g = 1908/13 + -146. Suppose -g*u**2 - 8/13 + 16/13*u + 2/13*u**3 = 0. Calculate u.
1, 2
Let i(r) = r**3 - 6*r**2 + 6*r - 1. Suppose -g + 17 = 4*p, -4*g + 0*p - 5*p + 35 = 0. Let y be i(g). Factor 0*m**4 - 1 + 1 + m**y - m**2.
m**2*(m - 1)*(m + 1)
Let z(l) be the second derivative of -l + 0*l**2 - 1/10*l**5 + 1/15*l**6 - 1/6*l**4 + 0*l**3 + 0 + 1/21*l**7. Let z(x) = 0. What is x?
-1, 0, 1
Let u be (-2)/(-18)*12/18. Let o(x) be the first derivative of -3 + 8/9*x - 4/9*x**2 + u*x**3. Factor o(y).
2*(y - 2)**2/9
Let 2*t - 2*t**4 + 4*t**3 + t**2 - 9*t**2 - 6*t**5 - 3*t**4 + 13*t**4 = 0. Calculate t.
-1, 0, 1/3, 1
Let q(b) = b + 1. Let k(v) be the first derivative of -49*v**4 + 308*v**3/3 - 61*v**2 + 22*v + 5. Let p(m) = -k(m) + 6*q(m). What is x in p(x) = 0?
2/7, 1
Let x(m) be the third derivative of m**7/210 + 7*m**6/120 + m**5/4 + 3*m**4/8 - 2*m**2. Factor x(p).
p*(p + 1)*(p + 3)**2
Factor -64*f**2 - 19*f + 29*f**2 - 3*f**3 + 4*f - 7*f**3.
-5*f*(f + 3)*(2*f + 1)
Let h(j) be the first derivative of -j**5/180 + j**4/24 - j**3/9 - j**2/2 + 3. Let o(d) be the second derivative of h(d). Factor o(k).
-(k - 2)*(k - 1)/3
Let c be (5 - (2 + -2)) + -2. Factor 3*q**2 - c*q - 6*q**2 + 0*q**2.
-3*q*(q + 1)
Let n(p) = 23*p - 3. Let r be n(6). Suppose -4 = 5*f - 24. Find c such that 26*c**2 - r*c**f - 675*c**5 + 10*c**2 + 11*c**2 - 4 + 207*c**3 - 16*c = 0.
-1/3, 2/5
Let n(b) be the third derivative of b**9/16632 - b**8/9240 - b**7/4620 + b**6/1980 - b**3/3 + b**2. Let l(v) be the first derivative of n(v). Solve l(t) = 0.
-1, 0, 1
Let r = -21 + 21. Factor z**5 + 9/2*z**3 + r + 1/2*z + 5/2*z**2 + 7/2*z**4.
z*(z + 1)**3*(2*z + 1)/2
Let g(z) be the first derivative of -3 + 1/40*z**5 + 1/8*z**4 + 1/4*z**3 + 1/4*z**2 - 2*z. Let h(k) be the first derivative of g(k). Factor h(f).
(f + 1)**3/2
Let j(b) = b**2 - 11*b + 11. Let g be j(10). Suppose -7*x**2 + 12*x - 5 + g - x**2 + 6*x = 0. What is x?
1/4, 2
Let 1/5*a + 0 + 3/5*a**2 = 0. What is a?
-1/3, 0
Let d(m) = m**2 - 8*m - 4. Let p be d(9). Let i = p - 3. Factor 5*y**i - y**2 - 4*y**4 + 5 - 7 + 2*y**4.
-2*(y - 1)**2*(y + 1)**2
Let w(g) be the second derivative of g**7/252 - g**5/60 + g**3/36 + 3*g. Find l, given that w(l) = 0.
-1, 0, 1
Let c(r) be the second derivative of 0*r**3 + 6*r + 1/18*r**4 + 1/45*r**6 + 0 + 0*r**2 + 1/15*r**5. Determine s so that c(s) = 0.
-1, 0
Let b(k) be the third derivative of 1/9*k**3 - 3*k**2 + 0*k**4 - 1/90*k**5 + 0 + 0*k. Let b(u) = 0. What is u?
-1, 1
Suppose -y**3 + 764*y + 3*y**3 - 766*y = 0. Calculate y.
-1, 0, 1
Let q(s) be the second derivative of -s - 1/14*s**2 - 1/84*s**4 - 1/21*s**3 + 0. Factor q(a).
-(a + 1)**2/7
Let b be (-4)/(-9)*(-6)/(-16). Factor 1/3 - 1/3*o**2 + 1/6*o - b*o**3.
-(o - 1)*(o + 1)*(o + 2)/6
Let m(s) = -s**3 - 8*s**2 - 3*s - 2. Let d(k) = 3*k**3 + 33*k**2 + 12*k + 9. Let u(z) = -2*d(z) - 9*m(z). Let u(i) = 0. Calculate i.
-1, 0
Let i(l) be the second derivative of 4/3*l**2 + 0 + 1/18*l**4 + 4/9*l**3 + 4*l. Suppose i(r) = 0. Calculate r.
-2
Let l = 7 - 6. Let a be l + 16/6 - 3. Suppose 8/3*u - a*u**2 - 8/3 = 0. What is u?
2
Let w(a) = -a + 0 + a**3 + 1 - 2. Let s(v) be the first derivative of 3*v**4/4 - 16*v**3/3 + 11*v**2/2 + 8*v + 8. Let z(r) = s(r) + 6*w(r). Factor z(b).
(b - 1)**2*(9*b + 2)
Let b(f) be the third derivative of -f**5/18 + 17*f**4/36 - 2*f**3/3 + 2*f**2. Factor b(i).
-2*(i - 3)*(5*i - 2)/3
Let -1/3*n**5 - 4/3 - 1/3*n**2 + 5/3*n**4 + 8/3*n - 7/3*n**3 = 0. What is n?
-1, 1, 2
Let d(m) = 2*m. Let g(f) = f**2 + 3*f - 1. Let q(o) = -3*d(o) + 2*g(o). Factor q(v).
2*(v - 1)*(v + 1)
Let v(u) be the third derivative of -1/735*u**7 + 0*u**5 + 0 - 1/21*u**4 + 0*u + 2*u**2 + 1/140*u**6 + 0*u**3. Factor v(f).
-2*f*(f - 2)**2*(f + 1)/7
Let p(g) be the third derivative of g**5/480 - 5*g**4/192 + g**3/8 + 9*g**2. Suppose p(t) = 0. Calculate t.
2, 3
Determine a, given that -23 - a**3 + 23 - 2*a**5 + a**4 - a**2 + 3*a**5 = 0.
-1, 0, 1
Solve 0 - 1/2*z + 1/4*z**2 = 0 for z.
0, 2
Let h = 6 + -2. Suppose -5*m + a = -12, 4 = 2*m - 4*m - h*a. Let -3*t**2 - 2 + 0 + 2*t**m + 4*t - t = 0. What is t?
1, 2
Let h(n) be the first derivative of -9/4*n**4 - 7/3*n**3 - 1 + n**2 + 0*n. Factor h(y).
-y*(y + 1)*(9*y - 2)
Let i(s) be the third derivative of -s**7/840 - s**6/480 + s**5/80 + s**4/96 - s**3/12 + 6*s**2. Let i(z) = 0. What is z?
-2, -1, 1
Let b(f) be the third derivative of -1/1020*f**6 + 5*f**2 + 0*f + 0*f**3 + 0*f**4 - 1/255*f**5 + 1/595*f**7 + 0. Determine p so that b(p) = 0.
-2/3, 0, 1
Find m such that 4/23 - 2/23*m**3 + 2/23*m**4 + 2/23*m - 6/23*m**2 = 0.
-1, 1, 2
Let x(s) be the second derivative of s**6/60 - s**5/8 + s**4/4 + 31*s. Factor x(g).
g**2*(g - 3)*(g - 2)/2
Let v = -2 - -5. Let 2*g - 2*g**3 + 5 - 4 + 2*g**2 - v = 0. What is g?
-1, 1
Let a be (-13)/(-2) + 1/(-2). Suppose -4*o = -a*o. Solve -1/6*c**5 + 1/3*c**2 + 0 + 1/6*c + o*c**3 - 1/3*c**4 = 0 for c.
-1, 0, 1
Suppose -5*i = 5*i - 40. Let o = 0 + 3. Factor -3*p**i - 6 - o*p + 3*p**2 + 3*p**3 + 6.
-3*p*(p - 1)**2*(p + 1)
Let k(t) be the second derivative of 3*t**5/20 - t**4 + 2*t**3 - 2*t. Factor k(f).
3*f*(f - 2)**2
Let b(m) be the third derivative of -m**5/90 + 7*m**4/18 - 49*m**3/9 - 14*m**2. Factor b(h).
-2*(h - 7)**2/3
Suppose -j - 11 + 5 = 4*g, 3*g = 5*j - 16. Let v be -10*(-3)/12*2. Factor 0*k - 2/7*k**3 + 0*k**j + 0 - 2/7*k**v - 4/7*k**4.
-2*k**3*(k + 1)**2/7
Let x(h) be the third derivative of h**6/240 + h**5/40 + h**4/24 + 17*h**2. Factor x(g).
g*(g + 1)*(g + 2)/2
Let l(q) be the third derivative of q**9/90720 + q**8/15120 + q**7/7560 - 7*q**5/60 - q**2. Let i(u) be the third derivative of l(u). Factor i(t).
2*t*(t + 1)**2/3
Let n = 61/156 + -4/13. Let s(c) be the first derivative of 0*c + 1/8*c**4 - n*c**3 - 1 - 1/20*c**5 + 0*c**2. Factor s(r).
-r**2*(r - 1)**2/4
Let c be 0 - (-2 + (-85)/3). Let j = 31 - c. Let 0*m + j*m**4 + 0*m**2 + 2/3*m**3 + 0 = 0. What is m?
-1, 0
Let i(p) be the third derivative of 0*p**4 + 0*p**3 - 1/240*p**6 + p**2 + 0*p - 1/120*p**5 + 0. Factor i(u).
-u**2*(u + 1)/2
Let g(i) be the third derivative of -i**7/1470 - i**6/840 + i**5/420 + i**4/168 - 9*i**2. Factor g(h).
-h*(h - 1)*(h + 1)**2/7
Let j(s) be the third derivative of -s**10/75600 - s**9/15120 - s**8/10080 + s**5/60 - 2*s**2. Let d(r) be the third derivative of j(r). Factor d(w).
-2*w**2*(w + 1)**2
Let j(v) be the first derivative of -2/3*v**3 - 2*v**2 - 2*v + 1. Suppose j(r) = 0. Calculate r.
-1
Suppose 3*r = -15, -3*y = -0*r - 3*r - 21. Factor 0 + 3/4*d**y - 3/4*d.
3*d*(d - 1)/4
Let h = 100 + -299/3. Let s(i) be the third derivative of h*i**4 - 2*i**2 + 0*i + 1/6*i**3 + 4/15*i**5 + 0. Determine p so that s(p) = 0.
-1/4
Suppose 9 = 5*a - 1. Let n(i) be the first derivative of 1/16*i**4 - a*i + 3/2*i**2 - 1/2*i**3 + 2. Factor n(s).
(s - 2)**3/4
Let s(o) be the third derivative of -o**5/270 + o**4/54 - o**3/27 - 6*o**2. Factor s(b).
-2*(b - 1)**2/9
Let v(u) = -u**3 - 3*u**2 - 4*u - 2. Let o(p) = p - 4. Let x be o(2). Let w be v(x). Let 8/7 + 8/7*c + 2/7*c**w = 0. Calculate c.
-2
Suppose -i - 4 = -5*i. Let y = i - -2. Factor -s**2 + 0*s + 0*s + s**y.
s**2*(s - 1)
Suppose 5*g - 30 = -5*g. Let -4/3*a**2 + 2/9*a + 0 - 8/9*a**4 + 2*a**g = 0. Calculate a.
0, 1/4, 1
Let d(m) be the second derivative of -m**5/100 + 2*m**4/15 - 8*m**3/15 + 7*m. Factor d(i).
-i*(i - 4)**2/5
Let u(r) be the third derivative of -r**5/30 - 5*r**4/36 + 2*r**3/9 - 4*r**2. Factor u(h).
-2*(h + 2)*(3*h - 1)/3
Let g(f) = -7*f**4 - 10*f**3 + f**2 + 4*f. Let r(v) = -8*v**4 - 11*v**3 + 2*v**2 +