-12*i**l + 12*i**2 - 2*i**4 = 0.
0
Let n be 9/(-5) + (-8)/(-12)*3. What is s in -2/5*s**2 + 0*s + 0 - n*s**3 = 0?
-2, 0
Let y be (12/(-10))/(138/(-60) + 2). Let o(a) be the second derivative of 1/18*a**3 - 1/3*a**2 + 0 + 1/36*a**y - a. Solve o(r) = 0 for r.
-2, 1
Let t(a) be the third derivative of -1/45*a**4 + 0*a**3 - 5*a**2 + 8/225*a**5 + 0 - 7/900*a**6 + 0*a. Determine j, given that t(j) = 0.
0, 2/7, 2
Let o be ((-20)/8)/(2/(-4)). Let u = o + -3. Factor -x - u*x**3 + 2 + 2 + 7*x.
-2*(x - 2)*(x + 1)**2
Let z = 29 - 28. Suppose -2*r + 3*j = 1 + 10, 0 = 4*r + j - 13. Factor 0*w**r + z + w**3 - 2*w**2 - 1.
w**2*(w - 2)
Let d(a) be the third derivative of a**6/24 - a**5/3 - 25*a**4/24 - 21*a**2. Let d(p) = 0. What is p?
-1, 0, 5
Let l(i) = -i**4 - 7*i**3 + 5*i**2 - 3*i. Let s(p) = 4*p**4 + 22*p**3 - 16*p**2 + 10*p. Let k(x) = -10*l(x) - 3*s(x). Factor k(c).
-2*c**2*(c - 1)**2
Factor 1/3*s**2 - 1/3*s - 2/3.
(s - 2)*(s + 1)/3
Let y = 55 - 52. Let g(k) be the third derivative of 0*k + 1/8*k**4 - 1/20*k**5 + y*k**2 + 0*k**3 + 0. Factor g(w).
-3*w*(w - 1)
Let j = 975 - 975. Factor -3/2*k**4 + j*k**2 + 0*k + 0*k**3 + 0.
-3*k**4/2
Let h = -44/15 - -10/3. Determine g, given that -6/5*g**2 - h*g**3 - 4/5*g + 0 = 0.
-2, -1, 0
Factor -3/4*z**4 + 0*z + 3/4*z**3 - 3/4*z**5 + 0 + 3/4*z**2.
-3*z**2*(z - 1)*(z + 1)**2/4
Suppose 4*q + 37 + 35 = 0. Let b be (-4)/q + 280/36. Factor 0 + t**3 - 8*t**4 - t + 5*t**2 - 1 + b*t**5 - 4*t**5.
(t - 1)**3*(2*t + 1)**2
Suppose -3*o + 3*s = 2 - 14, 2*o + 16 = -4*s. Suppose 3*y - 4*y - a + 2 = 0, 0 = -3*a - 3. Let o + 1/2*f**y - f**2 + 1/2*f = 0. Calculate f.
0, 1
Let t(q) be the first derivative of q**9/3024 + q**8/1680 - q**3/3 + 1. Let h(p) be the third derivative of t(p). Factor h(z).
z**4*(z + 1)
Let i(l) be the second derivative of 3*l**6/65 - 6*l**5/13 + 41*l**4/39 - 12*l**3/13 + 5*l**2/13 + 29*l. Suppose i(c) = 0. What is c?
1/3, 1, 5
Let t(d) = d**3 + 8*d**2 + 10*d - 9. Let k be t(-6). Suppose k*b - 8 = -b. Factor -m + 0 + 7/2*m**b.
m*(7*m - 2)/2
Suppose d + f - 3 = -d, -4*f = -5*d + 27. Find k, given that k**3 + 26*k**2 - 8 - 6*k**d - 5*k**3 - 8*k = 0.
-2/5, 1, 2
Let p = -118/7 - -2561/154. Let d = p - -103/66. Factor 2/3 - 2/3*i**5 + 2/3*i**4 - d*i**2 + 4/3*i**3 - 2/3*i.
-2*(i - 1)**3*(i + 1)**2/3
Suppose 0*g = -5*g + 10. Factor 5*z**3 - 7*z - 5 - 3*z**g + 4*z**4 + 4 + 2*z.
(z - 1)*(z + 1)**2*(4*z + 1)
What is g in 0 + g**2 + 5/2*g**4 + 0*g + 7/2*g**3 = 0?
-1, -2/5, 0
Let r be 10/(-4)*36/(-30) - 1. Factor 0*j + 2/3*j**r - 8/3.
2*(j - 2)*(j + 2)/3
Suppose 0 = 2*q + h + 7, 5*q + 18 = h - 3. Let i = q + 9/2. Let -z - i - 1/2*z**2 = 0. What is z?
-1
Let z be ((-75)/9)/(2/(-4)). Factor -64/3*y - z*y**5 - 190/3*y**4 - 8/3 - 278/3*y**3 - 194/3*y**2.
-2*(y + 1)**3*(5*y + 2)**2/3
Let n(b) be the first derivative of b**8/1680 + b**7/280 + b**6/120 + b**5/120 - 5*b**3/3 + 2. Let a(d) be the third derivative of n(d). Factor a(m).
m*(m + 1)**3
Let b(q) be the second derivative of -q**6/900 + q**5/100 - q**4/30 + q**3/6 - 3*q. Let d(i) be the second derivative of b(i). Find h, given that d(h) = 0.
1, 2
Let b be ((-7)/(24 + 4))/((-27)/8). Let m(q) be the first derivative of 2/9*q**2 + b*q**3 + 2/9*q + 2. Let m(u) = 0. What is u?
-1
Suppose 26*l - 2 = 25*l. Factor 0*v**l + 0 + 1/2*v**3 + 0*v.
v**3/2
Suppose j = 2*c + 13 - 16, -3*c - j - 3 = 0. Factor 2/9*r**3 + 2/9*r**5 + c*r**2 + 0 + 4/9*r**4 + 0*r.
2*r**3*(r + 1)**2/9
Suppose 4*g + q = 0, 6*q = -5*g + 8*q. Factor 0*p + 0*p**2 + g + 3/2*p**3.
3*p**3/2
Let g(b) = -b**2 + 5*b + 3. Let c be g(5). Suppose -3*m = h - 10, m + 14 = -0*h + 4*h. Factor -4*z**m - 6*z**c - z + z**5 - z**2 - 2*z**5 + z**2 - 4*z**4.
-z*(z + 1)**4
Let g(r) be the second derivative of 0 + 1/24*r**4 + 4*r + 0*r**2 + 1/4*r**3. Factor g(j).
j*(j + 3)/2
Let t(f) be the third derivative of -5*f**8/672 + 17*f**7/420 - 7*f**6/80 + 11*f**5/120 - f**4/24 + 4*f**2. Factor t(d).
-d*(d - 1)**3*(5*d - 2)/2
Let o(g) = -g**2 + 17*g + 2. Let w be o(17). Suppose -w*x + 6 + 4 = 0. Factor 8/3*p - 4*p**4 + 26/3*p**3 + 2/3*p**x + 0 - 8*p**2.
2*p*(p - 2)**2*(p - 1)**2/3
Let x(g) be the third derivative of 0 + 0*g + 1/330*g**5 + 6*g**2 + 2/33*g**3 - 1/44*g**4. What is i in x(i) = 0?
1, 2
Let b(x) be the first derivative of -26/3*x**3 - 2/5*x**5 - 8*x - 12*x**2 - 3 - 3*x**4. Find z such that b(z) = 0.
-2, -1
Suppose -6 = -2*k + 4. Suppose -3*l + 4 = -k. Let -x**2 + 4*x**3 - 2*x**3 - 3*x**l = 0. What is x?
-1, 0
Let j = -90 + 90. Let n(f) be the third derivative of 0*f + 4*f**2 + 1/60*f**6 + 1/12*f**4 + j*f**3 + 1/15*f**5 + 0. Factor n(z).
2*z*(z + 1)**2
Suppose 0 = v - 0*v - 7. Factor -2*j**3 + j**3 + v*j - 6*j.
-j*(j - 1)*(j + 1)
Let z be (-18 - -9 - -13)*(-1)/(-6). Let 0 - z*d**2 - 5/6*d**4 + 13/6*d**3 - 2/3*d = 0. What is d?
-2/5, 0, 1, 2
Let i(r) be the third derivative of -r**7/840 + 3*r**6/80 - 9*r**5/20 + 9*r**4/4 - 4*r**2 - 3*r. Let i(p) = 0. Calculate p.
0, 6
Let s be ((-3)/(-9))/(2/40). Let f = s - 77/12. Determine n, given that f*n**4 - 1/4*n**2 + 0*n**3 + 0 + 0*n = 0.
-1, 0, 1
Suppose -30 = -o - 4*o. Suppose 0*i - i + 2 = c, -i = 3*c - o. Solve -r**2 - 2 + 8 - c - 3 = 0 for r.
-1, 1
Suppose -3*g = 0, 0*l + 2*g - 4 = -l. Factor 1/3*h**5 + 1/3*h - 2/3*h**2 + 1/3*h**l + 1/3 - 2/3*h**3.
(h - 1)**2*(h + 1)**3/3
Let y(t) = -t**2 + 4*t + 2. Let n be y(4). Factor -n*u**5 + 2*u**3 + 0*u + u**5 - u.
-u*(u - 1)**2*(u + 1)**2
Let z(a) be the second derivative of -a**7/21 + a**5/10 + 7*a - 2. Suppose z(s) = 0. Calculate s.
-1, 0, 1
Let r(b) be the first derivative of -1/11*b**2 + 0*b - 2/33*b**3 + 4 + 2/55*b**5 + 1/22*b**4. Factor r(g).
2*g*(g - 1)*(g + 1)**2/11
Let t(c) be the second derivative of -2*c**7/105 + c**5/5 - c**4/3 - 2*c**2 - 5*c. Let s(b) be the first derivative of t(b). Factor s(h).
-4*h*(h - 1)**2*(h + 2)
Let q = 29 + 1. Let x be (-4)/10 - (-22)/q. Let -1/3*k**2 - 2/3*k - x = 0. What is k?
-1
Let r = 109 - 107. Let -2/5*z**3 - 6/5*z + 6/5*z**r + 2/5 = 0. Calculate z.
1
Let y(s) be the first derivative of -s**7/168 - s**6/40 + s**4/12 + 9*s - 2. Let z(q) be the first derivative of y(q). Suppose z(h) = 0. What is h?
-2, 0, 1
Suppose 4/3*j + 1 + 1/3*j**2 = 0. What is j?
-3, -1
Let j(k) = -k**2 + k + 4. Let i be j(2). Let g(t) be the second derivative of -4*t - 2/21*t**3 - 1/14*t**4 + 0*t**i + 0. Find h such that g(h) = 0.
-2/3, 0
Suppose -3*v = 4*u - 5 + 1, 2*v + 16 = 2*u. Let n = -1 - v. Suppose -2/7*s + 4/7*s**2 + 2/7*s**n - 4/7 = 0. Calculate s.
-2, -1, 1
Factor -2/17*z**3 + 10/17*z - 8/17*z**2 + 0.
-2*z*(z - 1)*(z + 5)/17
Factor -10/9*p**2 + 0 + 2/3*p.
-2*p*(5*p - 3)/9
Let -2/9*l**2 - 4/9*l + 0 = 0. Calculate l.
-2, 0
Let c(f) be the third derivative of f**5/240 + f**4/96 - f**3/12 - 3*f**2. Solve c(n) = 0.
-2, 1
Let b(t) = -80*t**4 + 90*t**3 - 35*t**2 - 55*t + 10. Let n(d) = -9*d**4 + 10*d**3 - 4*d**2 - 6*d + 1. Let j(q) = -4*b(q) + 35*n(q). Solve j(h) = 0.
-1, 1
Let i be (4 - 308/80)/(1/4). Solve 0*g**4 + i*g**3 - 3/5*g**5 + 0 + 0*g + 0*g**2 = 0.
-1, 0, 1
Let k be -1 - (-11)/2 - (-10)/(-20). Suppose 3*o + 5*b - 26 = -0*o, o = -4*b + 18. Factor 0 - 2/3*t**o - 2/3*t**3 + 2/3*t + 2/3*t**k.
2*t*(t - 1)**2*(t + 1)/3
Let w(f) be the first derivative of 2*f**5/65 + 3*f**4/26 + 2*f**3/13 + f**2/13 + 19. Factor w(z).
2*z*(z + 1)**3/13
Let j(h) be the second derivative of h**7/1050 - h**6/600 - h**2 + 2*h. Let p(t) be the first derivative of j(t). Suppose p(v) = 0. Calculate v.
0, 1
Let j be 3 - 134/(-9)*23. Let p = j - 345. Factor 14/9*b - 2/3*b**3 - 4/9 - p*b**2.
-2*(b - 1)*(b + 2)*(3*b - 1)/9
Let g = 25 + -30. Let k be (-36)/(-12) - (-13)/g. Let -2/5 + 6/5*d - 6/5*d**2 + k*d**3 = 0. Calculate d.
1
Factor 6/7*s**3 - 8/7*s - 8/7*s**2 + 0.
2*s*(s - 2)*(3*s + 2)/7
Let h be 6/(-8) - (-1478)/744. Let i = 3/31 + h. Factor -i*x**2 + 0 - 2/9*x - 8/3*x**4 - 8/9*x**5 - 26/9*x**3.
-2*x*(x + 1)**2*(2*x + 1)**2/9
Let c(u) = u**3 + u**2 - u - 1. Let t(a) = -a**4 + 6*a**3 - 3*a**2 - 2. Let n(w) = -2*c(w) + t(w). Suppose n(o) = 0. What is o?
0, 1, 2
Let l(k) be the third derivative of k**7/98 + 27*k**6/280 + 5*k**5/28 - 39*k**4/56 - 9*k**3/7 - k**2. Solve l(v) = 0 for v.
-3, -2/5, 1
Let a = 2437/4 - 609. Determine q so that 3/4*q**3 - a*q**4 + 1/2 - 1/4*q**2 - 3/4*q = 0.
-1, 1, 2
Let z be ((-2)/300)/((-4)/10). Let r(i) be the third der