*k + 1/2*x**4 = 0. What is x?
0, 1, 2
Let p = -1304008/9 + 145068. Let b = p + -178. Factor -2/9 + 4/9*t**3 + 4/9*t**2 - 2/9*t**5 - 2/9*t - b*t**4.
-2*(t - 1)**2*(t + 1)**3/9
Let j(n) = 4*n**3 - 2*n**2 - 2*n + 2. Let k(p) = p**4 + 8*p**3 - 5*p**2 - 5*p + 5. Let s(g) = -10*j(g) + 4*k(g). Determine q, given that s(q) = 0.
0, 2
Factor -118*g**5 + 57*g**5 + 66*g**5 - 5*g**3.
5*g**3*(g - 1)*(g + 1)
Suppose 0 = -3*l - 5*c - 6 - 4, 0 = l + 3*c + 6. Suppose 0*p - 3*p = l. Determine f, given that -2/7 + 2/7*f**2 + p*f = 0.
-1, 1
Factor -2 + 2*s**3 - 2*s + s**2 + 2*s**2 - s**2 + 0*s**2.
2*(s - 1)*(s + 1)**2
Let t(x) be the second derivative of 0 - 5/36*x**4 + 2*x - 1/18*x**3 + 1/6*x**2 - 1/20*x**5. Determine j, given that t(j) = 0.
-1, 1/3
Suppose -2*o + 10 = 0, -t + 5*t = 3*o - 15. Factor 0*a**4 - 2/7*a**5 + t + 0*a**2 + 2/7*a**3 + 0*a.
-2*a**3*(a - 1)*(a + 1)/7
Solve -4*p**3 - 51*p + 35*p - 10*p**2 - 6*p**2 = 0.
-2, 0
Let f(w) be the second derivative of w**7/840 - w**6/60 + w**5/10 + w**4/3 + 4*w. Let m(h) be the third derivative of f(h). Factor m(y).
3*(y - 2)**2
Find h, given that 0 - 1/3*h**3 + 0*h**2 - 1/3*h**4 + 0*h = 0.
-1, 0
Let a(y) be the third derivative of y**7/105 - y**6/36 + y**5/45 - 5*y**2. What is r in a(r) = 0?
0, 2/3, 1
Let n(y) be the first derivative of -y**5/5 - y**4/4 + y**3/3 + y**2/2 + 5. Suppose n(w) = 0. What is w?
-1, 0, 1
Let z = -182/3 + 63. Let z*v**2 + 2/3*v + 0 = 0. What is v?
-2/7, 0
Solve -145*l + 5*l**3 + 73*l + 62*l + 5*l**2 = 0.
-2, 0, 1
Let j(v) be the first derivative of -3 + 0*v**3 + 1/30*v**5 - 1/36*v**4 - 3*v + 0*v**2 - 1/90*v**6. Let b(d) be the first derivative of j(d). Factor b(h).
-h**2*(h - 1)**2/3
Suppose -5*v + 5*t = t - 26, 5*v = -3*t - 2. Let a(m) be the first derivative of -1 - 1/3*m**3 + m**v - m. Factor a(k).
-(k - 1)**2
Let n be (4/(-150))/(12/(-60)). Let f(g) be the second derivative of -3*g + 1/3*g**4 + 1/45*g**6 + 1/3*g**2 + 0 + 4/9*g**3 + n*g**5. Factor f(d).
2*(d + 1)**4/3
Let l = -498/5 - -100. Suppose -6/5*t**2 + l*t**3 - 2/5 + 6/5*t = 0. What is t?
1
Suppose 2*k = -w + 3, 11*w - 6 = -3*k + 9*w. What is n in 0*n - 2/5*n**3 + k + 2/5*n**2 = 0?
0, 1
Let r(y) be the second derivative of -y**6/240 + y**5/40 - y**4/16 + y**3/12 - 3*y**2/2 - y. Let o(f) be the first derivative of r(f). Let o(s) = 0. What is s?
1
Let z(i) = -i. Let r be z(-2). Let t = 5/3 + -4/3. Factor 2/3*h + t*h**r + 1/3.
(h + 1)**2/3
Let b(p) be the third derivative of p**7/3780 + p**6/270 + p**5/45 - p**4/12 - 3*p**2. Let q(l) be the second derivative of b(l). Find k such that q(k) = 0.
-2
Let u(n) be the second derivative of -n**5/90 + n**3/9 - n**2/2 - 2*n. Let d(j) be the first derivative of u(j). Factor d(x).
-2*(x - 1)*(x + 1)/3
Let y = 1330 - 1328. Factor 0*b + 2/5*b**y - 2/5*b**3 + 0.
-2*b**2*(b - 1)/5
Let z(n) = -2*n - 16. Let w be z(-13). Let r = 10 - w. Factor 0*j + r*j**2 - 2/5*j**3 + 0.
-2*j**3/5
Let r(x) be the second derivative of x**8/23520 + x**7/8820 - x**6/2520 - x**5/420 + x**4/4 - 2*x. Let b(a) be the third derivative of r(a). Factor b(j).
2*(j - 1)*(j + 1)**2/7
Let v be (-33)/(-12) + (-9)/12. Solve 2*y**2 - 2 + y - y**3 - v*y**3 + 2*y**3 = 0.
-1, 1, 2
Let g(d) be the second derivative of d**5/6 + d**4/6 - d**2/2 - d. Let x(r) be the first derivative of g(r). Factor x(c).
2*c*(5*c + 2)
Let g(y) be the third derivative of 0 + 1/20*y**5 + 0*y**3 + 0*y**4 - 2*y**2 + 0*y. Suppose g(j) = 0. What is j?
0
Let z be 6 + 8*(18/(-4) - -4). Let o(d) be the first derivative of 0*d**z - 1/8*d**4 + 0*d - 1 - 1/6*d**3. Suppose o(p) = 0. What is p?
-1, 0
Let h(g) be the first derivative of 5*g**4/16 - 5*g**3/4 + 5*g**2/4 - 20. Factor h(c).
5*c*(c - 2)*(c - 1)/4
Let f(j) be the second derivative of -9*j**7/112 - 39*j**6/80 - 93*j**5/160 + 27*j**4/32 + 5*j**3/2 + 9*j**2/4 - 32*j. Solve f(a) = 0 for a.
-3, -1, -2/3, 1
Solve 0*o**3 + 1/2*o**2 + 1/4*o + 0 - 1/2*o**4 - 1/4*o**5 = 0 for o.
-1, 0, 1
Let r be 21/15 - 3/3. Factor 0 + 2/5*a**3 + 3/5*a**2 - r*a.
a*(a + 2)*(2*a - 1)/5
Let d(c) = -7*c**4 + c**3 - 5*c**2 + 4*c + 2. Let m(v) = -11*v**4 + 2*v**3 - 8*v**2 + 6*v + 3. Let l(t) = -8*d(t) + 5*m(t). Find h such that l(h) = 0.
-1, 1
Suppose -4 + 0 = d. Let y = 6 + d. Factor -y*w + 2*w**2 - 4*w**3 + w + 3*w**3.
-w*(w - 1)**2
Let h(o) be the first derivative of -25*o**6/3 - 32*o**5 + 3*o**4/2 + 644*o**3/15 + 164*o**2/5 + 48*o/5 - 1. Determine q so that h(q) = 0.
-3, -2/5, 1
Suppose 5*m = -4*b + 22, 0*b - 1 = -2*m + b. Find k, given that 4/3*k + 2/3*k**m + 0 = 0.
-2, 0
Let g(h) be the first derivative of 2/27*h**3 + 0*h**2 + 0*h - 3. Let g(l) = 0. Calculate l.
0
Let r(g) be the second derivative of -g**6/1800 + g**5/600 + g**3/2 + 2*g. Let x(v) be the second derivative of r(v). Factor x(u).
-u*(u - 1)/5
Suppose 9*b - 18 = 3*b. Factor 0 + 3*d + 9/2*d**2 + 3/2*d**b.
3*d*(d + 1)*(d + 2)/2
Let b(w) = -w**4 - 2*w**3 - 2*w + 1. Let m(r) = -9*r**4 - 17*r**3 + r**2 - 17*r + 8. Let t(j) = 51*b(j) - 6*m(j). Factor t(a).
3*(a - 1)**2*(a + 1)**2
Suppose 4*m - 5*p = -3 - 13, 12 = -3*m + 3*p. Let s be 1*(-1 - -1) - m. What is b in -1 + 2*b**2 + s*b - 1 + 4 = 0?
-1
Let d be (-4)/(-8) - 99/192. Let l = d + 67/192. Factor -1/3*a**4 - 1/3*a + 1/3*a**2 + l*a**3 + 0.
-a*(a - 1)**2*(a + 1)/3
Let h(p) be the first derivative of -5/6*p**4 + 5 + 0*p - 4/9*p**3 + 0*p**2. Factor h(o).
-2*o**2*(5*o + 2)/3
Let l(a) be the third derivative of a**8/168 + a**7/21 + 3*a**6/20 + 7*a**5/30 + a**4/6 - 2*a**2 - 3. What is g in l(g) = 0?
-2, -1, 0
Factor 2/5 - 1/5*p - 1/5*p**2.
-(p - 1)*(p + 2)/5
Let o = -26 - -27. Suppose 2 + 9*z**2 - 6*z + 0 - 3*z**3 + o - 3*z = 0. Calculate z.
1
Factor 3*t**4 + t**3 - 4*t**4 - 2*t**4 - 4*t**3.
-3*t**3*(t + 1)
Let r(y) be the second derivative of 1/180*y**5 - 1/2*y**2 - y + 0 + 0*y**3 + 0*y**4. Let u(b) be the first derivative of r(b). Factor u(j).
j**2/3
Let j(w) = -w**3 + 7*w**2 - 6*w + 7. Let i be j(6). Let b be (-12)/(-42) + 26/i. Factor 4*t + t**2 + 2 - 3*t + 0 - b*t.
(t - 2)*(t - 1)
Let o(x) be the third derivative of -x**6/1320 + 4*x**5/165 - 8*x**4/33 + 9*x**2. Determine r, given that o(r) = 0.
0, 8
Factor -8/3*p**3 - 4/9*p**5 + 0 - 4/9*p + 16/9*p**2 + 16/9*p**4.
-4*p*(p - 1)**4/9
Find h such that 128/5 + 32/5*h + 2/5*h**2 = 0.
-8
Let r = -7 - -8. Determine u, given that -r + 5 + 250*u**3 + 150*u**2 + 1 + 30*u - 3 = 0.
-1/5
Suppose s - 6*s + 30 = 0. Let u(a) = 7*a**4 - 3*a**3 - 4*a**2. Let p(t) = 2*t**4 - t**3 - t**2. Let q(x) = s*u(x) - 22*p(x). Determine w, given that q(w) = 0.
0, 1
Let 0 + 8/13*o - 98/13*o**5 - 196/13*o**4 - 90/13*o**3 + 16/13*o**2 = 0. Calculate o.
-1, -2/7, 0, 2/7
Let p(t) be the first derivative of 1/6*t**3 - 3/8*t**4 - 1/10*t**5 + 0*t + 1/2*t**2 + 1/12*t**6 - 4. Factor p(v).
v*(v - 2)*(v - 1)*(v + 1)**2/2
Factor -1/2*n**3 + 0 + 0*n**2 + 1/2*n.
-n*(n - 1)*(n + 1)/2
Suppose 4*z = 3 + 9. Suppose -4*i**3 - 3*i**2 + i**3 - 1 + 2*i**3 - z*i = 0. Calculate i.
-1
Find i, given that 6*i**4 - 22*i**2 - i**4 + i**2 + 15 + 10*i**3 + i**2 - 10*i = 0.
-3, -1, 1
Factor -x - x**3 - 2*x**2 + x**2 - x**2.
-x*(x + 1)**2
Let u(g) be the second derivative of g**6/210 - 3*g**5/140 - g**4/42 + 2*g**3/7 - 4*g**2/7 + 25*g. Factor u(i).
(i - 2)**2*(i - 1)*(i + 2)/7
Let c(n) be the first derivative of -n**2 - 7*n + 2. Let i be c(-6). Factor 4*k**3 + 0*k**3 + k**i - 3*k**3 - 2*k**5.
-k**3*(k - 1)*(k + 1)
Suppose -3*a = -6*a - 12*a. Let q = 13 + -9. Factor 18/5*g**3 - 2*g**q + 4/5*g + 2/5*g**5 - 14/5*g**2 + a.
2*g*(g - 2)*(g - 1)**3/5
Let j(w) = 4*w**2 - 30*w**2 - 10*w**2 - 7 + 43*w + 9*w**3. Let t(i) = -6*i**3 + 24*i**2 - 29*i + 5. Let s(y) = -5*j(y) - 7*t(y). Suppose s(u) = 0. What is u?
0, 2
Let v(s) be the first derivative of 2*s**6/3 + 24*s**5/5 + 12*s**4 + 32*s**3/3 - 8. Let v(h) = 0. What is h?
-2, 0
Let r(k) be the third derivative of k**7/42 - k**6/24 - 5*k**5/12 - 5*k**4/8 - 18*k**2. Let r(j) = 0. Calculate j.
-1, 0, 3
Let f(g) = -g + 3. Let x be f(-11). Let z be (4/7)/(20/x). Let 2/5*r**3 + 6/5*r - z - 6/5*r**2 = 0. What is r?
1
Let f(x) be the third derivative of -2*x**2 + 1/40*x**6 + 0 - 1/60*x**5 + 0*x**4 + 0*x**3 + 0*x - 1/70*x**7 + 1/336*x**8. Solve f(q) = 0.
0, 1
Let s(x) = x**3 + 6*x**2 + 8*x + 4. Let u be s(-4). Suppose 3*t = -5*f + 9 + 2, u*f = 3*t - 2. Factor 0 + 2/5*p - 2/5*p**5 - 4/5*p**4 + 4/5*p**t + 