j(l) = 0.
1, 2
Let -l**2 + 5*l + 5*l**3 - 6*l**4 - 9*l + 3*l**2 + 3*l**3 = 0. What is l?
-2/3, 0, 1
Let -120/13*n**2 - 12/13 + 18/13*n**3 + 74/13*n = 0. Calculate n.
1/3, 6
Let v = 11 - 8. Factor -w**2 + 6*w**3 - 5*w**3 - v*w + 2*w**3 + w**4.
w*(w - 1)*(w + 1)*(w + 3)
Let f(k) be the second derivative of -k**5/30 - k**4/6 - k**3/3 - 3*k**2/2 + k. Let h(p) be the first derivative of f(p). Factor h(z).
-2*(z + 1)**2
Suppose 0 = 4*j - 16, 0*i + 7 = 5*i - 2*j. Factor -8*m**3 + 0*m**4 + 1 - 2*m**2 + 0*m**4 - 4*m**2 - i*m**4.
-(m + 1)**3*(3*m - 1)
Let h = -69 - -69. Factor 3/2*x**3 + h - 2*x**4 + 1/2*x**2 + 0*x.
-x**2*(x - 1)*(4*x + 1)/2
Determine r, given that -3*r - 4/3 - 2/3*r**2 = 0.
-4, -1/2
Let x be (309/(-42) - -7)*24/(-10). Determine r so that -6/7*r**2 + 3/7*r + x - 3/7*r**3 = 0.
-2, -1, 1
Let q(v) be the first derivative of -v**6/30 - v**5/25 + v**4/20 + v**3/15 - 30. What is r in q(r) = 0?
-1, 0, 1
Suppose 0 = 6*j - 4 - 14. Suppose -2/3 + 2/3*n**2 - n**j + n = 0. What is n?
-1, 2/3, 1
Let m = 63 - 60. Let 1/2 - 1/2*g**4 - g**m + g + 0*g**2 = 0. What is g?
-1, 1
Let p(o) = -3*o**4 + 6*o**3 - 6*o**2 - 6*o - 3. Let q(x) = x**4 + x**2. Let k(z) = p(z) + 6*q(z). Solve k(t) = 0 for t.
-1, 1
Let x = 783/35 - 144/7. Let -9/5*z - 3/5 - x*z**2 - 3/5*z**3 = 0. Calculate z.
-1
Let y = -14 + 10. Let q be y*1*(-2)/2. Let 2/3*s - 8/3*s**2 + 2/3*s**5 + q*s**3 - 8/3*s**4 + 0 = 0. Calculate s.
0, 1
Let u(j) = 21*j**2 - 72*j + 42. Let x(v) = 22*v**2 - 72*v + 43. Let y(d) = 5*u(d) - 6*x(d). Factor y(k).
-3*(3*k - 4)**2
Let -8 - 2*f**5 + 10*f**2 - 8*f**4 + 14*f**3 - 10*f**5 + 10*f**3 + 6*f**2 - 12*f = 0. What is f?
-1, -2/3, 1
Let b(j) be the second derivative of -j**6/100 - j**5/75 + j**4/60 + 3*j**2 - 4*j. Let z(n) be the first derivative of b(n). Let z(u) = 0. Calculate u.
-1, 0, 1/3
Let l(d) be the third derivative of -1/1344*d**8 + 1/12*d**4 - 7/480*d**6 - 1/6*d**3 + 1/168*d**7 - 1/240*d**5 - d**2 + 0*d + 0. Find k such that l(k) = 0.
-1, 1, 2
Let z(u) be the first derivative of u**6/24 + u**5/20 - u**4/16 - u**3/12 + 9. Let z(c) = 0. What is c?
-1, 0, 1
Let w(u) be the third derivative of -u**7/4200 - u**6/900 - u**5/600 + u**3/6 - 3*u**2. Let a(k) be the first derivative of w(k). Factor a(h).
-h*(h + 1)**2/5
Let o(g) be the third derivative of 11*g**5/40 + 3*g**4/2 + g**3 + 18*g**2 - 1. Factor o(k).
3*(k + 2)*(11*k + 2)/2
Let y(k) be the third derivative of k**6/780 + k**5/130 - k**4/39 - 20*k**2. Factor y(b).
2*b*(b - 1)*(b + 4)/13
Let u(j) = j + 3*j**2 - j - 4*j**2 + 3. Let f(c) = 4*c**2 - 13. Let h(l) = 2*f(l) + 9*u(l). Let h(s) = 0. What is s?
-1, 1
Factor 9/2*t - 3 - 3/2*t**2.
-3*(t - 2)*(t - 1)/2
Suppose 8*p = 5*q + 3*p, 0 = 2*q + p + 6. Let l be q/(-6)*(-2 - -6). Solve l + 2*j**2 + 10/3*j = 0.
-1, -2/3
Let g(q) = -q**2 + 2. Let p be g(0). Find b, given that -b - 3*b + b - 9*b**p = 0.
-1/3, 0
Let s(q) be the first derivative of -q**6/480 - q**5/120 + q**4/24 + q**3/3 - 7*q**2/2 + 9. Let b(n) be the second derivative of s(n). Factor b(x).
-(x - 2)*(x + 2)**2/4
Suppose 14 + 6 = s. Suppose i - 5 = a, 3*i + 0*i - s = 4*a. Suppose i + 2/7*r**3 - 2/7*r**5 + 0*r**2 + 0*r + 0*r**4 = 0. Calculate r.
-1, 0, 1
Let f(w) be the second derivative of -w**4/30 + 14*w**3/15 - 49*w**2/5 - 6*w. Factor f(a).
-2*(a - 7)**2/5
Let l(k) be the third derivative of -1/80*k**6 + 0*k**5 + 0*k + 1/280*k**7 + 0*k**3 + 0*k**4 - 8*k**2 + 0. Find z such that l(z) = 0.
0, 2
Let t(c) be the first derivative of -3 - 4*c**2 - 14*c + 14/3*c**3. Let y(w) = 5*w**2 - 3*w - 5. Let l(m) = 3*t(m) - 8*y(m). Let l(p) = 0. What is p?
-1, 1
Let l(u) be the third derivative of 0*u**4 + 0*u**3 + 0 + 1/1512*u**8 + 0*u + 3*u**2 - 1/945*u**7 - 1/540*u**6 + 1/270*u**5. Let l(w) = 0. What is w?
-1, 0, 1
Factor 0*r**2 + 0 + 2/7*r**4 + 0*r + 2/7*r**3.
2*r**3*(r + 1)/7
Suppose 96 = 3*n - z - 15, 3*z = 2*n - 81. Determine p so that 18*p**3 - 13 + n*p + 0 + 1 - 48*p**2 + 9*p**2 - 3*p**4 = 0.
1, 2
Let r(o) = o**2 - 5*o - 3. Let h be r(7). Let n be (8/(-5))/((-8)/20). Let 7*u**n - 16*u**3 + 2*u - 2*u - 2*u + h*u**2 + 0*u = 0. What is u?
0, 2/7, 1
Let r(f) be the second derivative of 3*f + 0 + 1/315*f**7 + 1/15*f**5 - 1/15*f**2 - 1/9*f**4 - 1/45*f**6 + 1/9*f**3. Solve r(a) = 0 for a.
1
Let l(a) be the first derivative of -1/12*a**4 - 4/3*a**2 + 5/9*a**3 + 4/3*a + 5. Find o such that l(o) = 0.
1, 2
Factor 2*r**3 + 5*r**3 - 12*r + 8 - 3*r**3.
4*(r - 1)**2*(r + 2)
Let l(s) be the first derivative of -2*s**3/15 - 3*s**2/5 + 22. Factor l(n).
-2*n*(n + 3)/5
Find s, given that -4*s**4 - 6*s**2 + 2*s + 12*s**2 - 2*s**5 - 2*s**2 = 0.
-1, 0, 1
Factor -4*f + 0*f - 2*f**2 + 10*f - 3 - 1.
-2*(f - 2)*(f - 1)
Let g(d) = -3*d**2 - 13*d - 7. Let o(p) = -p - 1. Let s(i) = -g(i) + 3*o(i). Let a(m) = -m - 1. Let b(h) = 4*a(h) + s(h). Suppose b(f) = 0. What is f?
-2, 0
Let u = -2 + 4. Find o, given that 3*o**2 - 2*o**u - 4*o**4 - 2*o**3 + 5*o**4 = 0.
0, 1
Let g be ((-3)/9)/(3/249). Let u = g - -28. Let -u*z**2 + 1/3 - 1/3*z**3 + 1/3*z = 0. Calculate z.
-1, 1
Let o(c) be the first derivative of 3*c**5/20 + c**4/2 + c**3/3 + 16. Factor o(q).
q**2*(q + 2)*(3*q + 2)/4
Let d(f) be the third derivative of -f**5/120 + f**4/36 + f**3/9 + 10*f**2. Determine t so that d(t) = 0.
-2/3, 2
Let p(s) = s**4 + s - 1. Let c(z) = -9*z**4 + 5*z**3 + 5*z**2 - 9*z + 4. Let f(j) = -c(j) - 4*p(j). Factor f(w).
5*w*(w - 1)**2*(w + 1)
Let o be ((-4)/60)/((-3)/9). Factor o*l**3 + 2/5 + 4/5*l**2 + l.
(l + 1)**2*(l + 2)/5
Suppose -2*d + d - o + 12 = 0, 3*o + 14 = 2*d. Factor 6*r**2 + 2*r + 2*r - 9*r**2 - d*r.
-3*r*(r + 2)
Let x be (-1)/(-4) + 322/56. Factor b**5 - 7*b**4 - b**3 + x*b**4 - b**3.
b**3*(b - 2)*(b + 1)
Let u(o) = -o**3 - 7*o**2 + 20*o + 20. Let y be u(-9). Suppose -2/7*i**3 - 2/7*i + 4/7*i**y + 0 = 0. Calculate i.
0, 1
Let x(z) = z**3 + z**2 - 2*z. Let t(s) = -s + 1. Let a(r) = 3*t(r) + x(r). Factor a(o).
(o - 1)**2*(o + 3)
Let f(r) = -2*r**2 + 8*r + 6. Let k(o) = -o - 1. Let c be (3 - 20/8)*2. Let a(h) = c*f(h) + 6*k(h). Factor a(w).
-2*w*(w - 1)
Let 44*u**2 - 45*u + 63*u**2 - 23*u**2 + 6 = 0. Calculate u.
1/4, 2/7
Let p(h) be the third derivative of h**5/45 - h**4/8 + h**3/9 + 6*h**2. Factor p(b).
(b - 2)*(4*b - 1)/3
Let p be (0 - (-18)/81)/(1/9). Solve 3*d**p - 10/3*d**4 + 19/3*d**3 + 4/3 - 16/3*d = 0 for d.
-1, 2/5, 1/2, 2
Factor 2/9*k**2 + 8/9 - 8/9*k.
2*(k - 2)**2/9
Let t be (3 - 1) + (1 - -3). Let z = -3 + t. Factor -1/2*o**z + 1/4 + 5/4*o**2 - o.
-(o - 1)**2*(2*o - 1)/4
Let n(i) be the third derivative of -i**5/420 - i**4/84 + i**3/14 + 6*i**2. Suppose n(z) = 0. Calculate z.
-3, 1
Factor -2/5 + 1/5*c**2 - 1/5*c.
(c - 2)*(c + 1)/5
Let 8*a**2 + 2*a**4 + 8*a**2 + 10*a**3 - 454*a + 462*a = 0. What is a?
-2, -1, 0
Let j(m) be the first derivative of -m**6/135 + m**5/45 - 2*m**3/27 + m**2/9 - 4*m + 3. Let w(p) be the first derivative of j(p). Find x, given that w(x) = 0.
-1, 1
Let b(x) be the first derivative of x**6/210 - x**5/140 - 8*x - 9. Let o(q) be the first derivative of b(q). Factor o(w).
w**3*(w - 1)/7
Let -2/7*r + 0 + 2/7*r**2 = 0. What is r?
0, 1
Let h be (-8)/(-18)*(-24)/(-16). Determine s, given that -h*s**3 + 1/3*s**5 + 2/3*s**2 + 1/3*s - 1/3 - 1/3*s**4 = 0.
-1, 1
Let n(k) be the third derivative of -k**8/672 + k**7/420 - 6*k**2. Factor n(g).
-g**4*(g - 1)/2
Let b(r) = -r**3 + 8*r**2 - r + 8. Let o be b(8). Suppose o = -2*z + 2*x - 4, 0 = -3*z - 3*x + 6. Factor 0 + z*m**2 + 1/5*m - 1/5*m**3.
-m*(m - 1)*(m + 1)/5
Let f(n) be the second derivative of 1/6*n**4 + 1/135*n**6 + 6*n + 1/18*n**5 + 7/27*n**3 + 2/9*n**2 + 0. Find b such that f(b) = 0.
-2, -1
Let x(j) = 3*j**2 + 5*j - 2. Let n be x(-2). Suppose -2/3*m**3 + 4/3*m + n + 2/3*m**2 = 0. Calculate m.
-1, 0, 2
Let h(d) = 12*d**5 + 9*d**4 - 6*d**3 - 6*d. Let p(f) = -f**5 + f**3 - f**2. Let k(b) = h(b) + 9*p(b). Factor k(m).
3*m*(m - 1)*(m + 1)**2*(m + 2)
Let f(r) be the first derivative of -r**7/420 - r**6/20 - 9*r**5/20 - 9*r**4/4 - 5*r**3/3 - 2. Let t(q) be the third derivative of f(q). Factor t(a).
-2*(a + 3)**3
Suppose -6 = 2*i + 3*l - 0*l, l + 2 = 4*i. Suppose 2*r + i*r = 0. Factor r + 1/2*o**2 - o.
o*(o - 2)/2
Suppose -5*x = 2*r + 15, 4*x + 0*r - 2*r = 6. Let p be (-8*(-28)/(-20))/x. Find u, given that 2/5 + 10*u**2 + p*u**4 - 16/5*u**5 - 16/5*u - 76/5*u**3 = 0.
1/2, 1
