*7 - 1/100*w**5 + 0*w**3 + 0*w**6 - w + 0 + v*w**2 + 0*w**4. What is d in x(d) = 0?
-1, 0, 1
Let l(a) = 64*a**3 - 206*a**2 + 154*a - 56. Let u(z) = 13*z**3 - 41*z**2 + 31*z - 11. Let o(q) = -2*l(q) + 11*u(q). Determine b, given that o(b) = 0.
3/5, 1
Let g(r) = 3*r**5 - 5*r**4 - 3*r**3 + 5*r**2 + 2*r - 2. Let u(n) = -n**4 + n**2 + n - 1. Let z(t) = -g(t) + 2*u(t). Factor z(y).
-3*y**2*(y - 1)**2*(y + 1)
Factor 0 - 1/3*l**3 + 0*l**2 + 0*l + 1/3*l**5 + 0*l**4.
l**3*(l - 1)*(l + 1)/3
Let u be (((-4)/3)/(76/(-171)))/1. Factor 2/9*v**u + 0*v + 0 + 4/9*v**2.
2*v**2*(v + 2)/9
Determine q so that -10/7*q**3 - 2/7*q - 16/7*q**2 + 4/7 = 0.
-1, 2/5
Let u(x) be the first derivative of -x**7/5040 - x**6/720 + x**4/36 + 2*x**3/3 + 7. Let m(b) be the third derivative of u(b). Factor m(y).
-(y - 1)*(y + 2)**2/6
Let s(y) be the second derivative of -y**7/21 + y**6/15 + y. Find t, given that s(t) = 0.
0, 1
Suppose -4*y - 2*j + 30 = -0, 27 = 4*y + j. Suppose 3*p = y*p. Factor p + 4/3*v - 2/3*v**2.
-2*v*(v - 2)/3
Let a be 3*(2 + 4/(-3)). Factor -x**a + x**3 - 6 + 4 - x + 3.
(x - 1)**2*(x + 1)
Let d(n) be the third derivative of 1/5*n**5 + 4*n**2 + 0 + 0*n + 1/30*n**6 + 0*n**3 + 1/3*n**4. Factor d(i).
4*i*(i + 1)*(i + 2)
Suppose -5*c - 2*k + 86 = -0*c, 2 = -k. Find f such that f - c*f**3 + f**4 + 1 + 2*f**5 + 14*f**3 - 2*f**2 + f = 0.
-1, -1/2, 1
Let j(x) be the third derivative of x**5/140 - 3*x**4/28 + 9*x**3/14 + 2*x**2. Find d such that j(d) = 0.
3
Let c be (11 - -2) + (4 - 7). Let a = -8 + c. Solve 2/3*f**3 - 2/3 - 2/3*f + 2/3*f**a = 0 for f.
-1, 1
Let v(b) be the third derivative of b**5/60 - b**4/12 - 4*b**3/3 + 7*b**2. Find k, given that v(k) = 0.
-2, 4
Let a = 10 - 4. Let k be ((-3)/(-2))/(a/8). Factor m**2 + 4*m**2 + m**3 - k*m**3 - 8*m + 4.
-(m - 2)**2*(m - 1)
Let n be 9/28 - (-4)/(-14). Let l = 2/7 - n. Factor -s**4 + l*s**5 - s**2 + 3/2*s**3 + 1/4*s + 0.
s*(s - 1)**4/4
Let k be (-9)/9 + 3*1. Let g(n) be the third derivative of 0*n + 1/240*n**5 + 2*n**k + 0 - 1/12*n**3 + 1/96*n**4. Suppose g(w) = 0. What is w?
-2, 1
Let h(x) = 0*x**3 - 6*x + x**2 - 4*x + x**3 + 11*x. Let o(r) = r**4 + 3*r**3 + 9*r**2 + 5*r. Let i(a) = 6*h(a) - o(a). Factor i(p).
-p*(p - 1)**3
Suppose -6*t = -10*t + 12. Suppose 9*p**2 + 11*p**3 - 4*p**4 - 12 + 12*p - 10*p**t - 7*p**3 + p**4 = 0. Calculate p.
-2, 1
Let z(i) be the second derivative of -i**5/20 - i**4/6 - i**3/6 + 5*i. Determine s, given that z(s) = 0.
-1, 0
Let v = 5/19 - -85/38. Factor -1 - b**2 - v*b.
-(b + 2)*(2*b + 1)/2
Let t = 8210/9 + -912. Factor -4/9*g**2 - t*g**3 - 2/9*g + 0.
-2*g*(g + 1)**2/9
Let q(c) = c - 2. Let j be q(-2). Let w be (j/(-6))/(4/18). Find l, given that -4*l**2 + 2*l**w + 3*l - l + 0*l**3 = 0.
0, 1
Let v be 4/(3/(4 - 1)). Let j(i) be the third derivative of 0*i + 0 + 1/18*i**3 + 1/180*i**5 - i**2 + 1/36*i**v. Let j(b) = 0. Calculate b.
-1
Suppose 0 = -u + 2 - 7. Let n = u - -2. Let c(g) = -g**2 + 9*g + 7. Let x(r) = -3*r**2 + 17*r + 13. Let k(o) = n*x(o) + 5*c(o). Factor k(b).
2*(b - 2)*(2*b + 1)
Let i(n) be the second derivative of 0*n**4 + n - 3/140*n**5 + 1/14*n**3 + 0 + 0*n**2. Factor i(h).
-3*h*(h - 1)*(h + 1)/7
Suppose 14*v + 14*v - 56 = 0. Factor 0*i + 0*i**v + 0 - 1/2*i**3 + 1/2*i**4.
i**3*(i - 1)/2
Let t(k) be the third derivative of -k**8/56 - k**7/14 - k**6/10 - k**5/20 + 46*k**2. Solve t(i) = 0.
-1, -1/2, 0
Let d(z) = 8*z**3 - 33*z**2 + 15*z + 2. Let v(f) = -57*f**3 + 231*f**2 - 105*f - 15. Let g(h) = 27*d(h) + 4*v(h). Factor g(j).
-3*(j - 2)*(j - 1)*(4*j + 1)
Let k(y) be the third derivative of -y**7/105 - y**6/15 - 2*y**5/15 + 25*y**2. Determine g so that k(g) = 0.
-2, 0
Let n(t) be the first derivative of -2*t**3/39 - t**2/13 + 4*t/13 + 14. Solve n(w) = 0 for w.
-2, 1
Let f = -13 - -11. Let k be (f/(-4))/(20/150). Let 0 - 1/4*l + 1/2*l**2 - 8*l**4 + 4*l**5 + k*l**3 = 0. What is l?
-1/4, 0, 1/4, 1
Factor -4/5 + 3/5*i**2 + 9/5*i**3 - 8/5*i.
(i - 1)*(3*i + 2)**2/5
Let k(i) be the first derivative of 2*i**5/15 + i**4/6 - 2*i**3/3 - 5*i**2/3 - 4*i/3 - 3. Factor k(z).
2*(z - 2)*(z + 1)**3/3
Let k(r) be the second derivative of -r**5/35 + 5*r**4/21 - 2*r**3/3 + 6*r**2/7 - 5*r. Let k(w) = 0. What is w?
1, 3
Find b such that 2*b + 15*b**2 + 4*b + 9 - 18*b**2 = 0.
-1, 3
Determine y so that 0*y**2 + 2 - 8*y**2 + 4*y**2 + 2*y**4 = 0.
-1, 1
Let a(x) be the first derivative of -x**7/210 + x**5/60 + 3*x**2/2 - 6. Let r(h) be the second derivative of a(h). Factor r(b).
-b**2*(b - 1)*(b + 1)
Let t be (-7)/315*-33 - 4/10. Determine p, given that 3*p**2 + t + 2*p = 0.
-1/3
Suppose a + 3*a - 20 = 0. Let m be (-2)/a - 102/(-30). Solve 4/5*f**m - 2/5*f**2 - 2/5*f + 0 = 0 for f.
-1/2, 0, 1
Find x such that -1 + 2*x**2 - 4*x**3 - 23 - 52*x - 34*x**2 = 0.
-6, -1
Let y(u) be the second derivative of 1/180*u**6 + 0*u**4 + 0*u**2 - 1/6*u**3 - 1/60*u**5 + 0 + 3*u. Let n(t) be the second derivative of y(t). Solve n(l) = 0.
0, 1
Let k(q) = -q**3 - 10*q**2 - 10*q - 4. Let f be k(-9). Suppose 3*r - 1 = f. Factor 2*x - r*x**2 + 1 + 2 - 3.
-2*x*(x - 1)
Let y(i) = -i + 10. Let r be y(6). Let w be (-4)/r - -1 - -2. Factor 1/2*n**3 + 1/4*n**4 + 0 + 0*n + 1/4*n**w.
n**2*(n + 1)**2/4
Factor -16/9*l - 32/9 - 2/9*l**2.
-2*(l + 4)**2/9
Let k(d) be the third derivative of 3*d**2 - 1/3*d**3 + 1/30*d**5 - 1/24*d**6 + 0*d + 0 + 5/24*d**4. Factor k(i).
-(i - 1)*(i + 1)*(5*i - 2)
Let g(o) be the second derivative of o**5 + 2*o**4/3 - 40*o**3/3 - 16*o**2 + 39*o. Suppose g(s) = 0. What is s?
-2, -2/5, 2
Find l, given that 12/5 + 3*l**2 - 3/5*l**3 - 24/5*l = 0.
1, 2
Let l(v) be the third derivative of -v**6/12 - 3*v**4/4 + 4*v**3/3 - v**2. Let s(y) = y**3 + y - 1. Let x(g) = l(g) + 12*s(g). Solve x(i) = 0.
-1, 2
Let g(j) = -9*j**3 - j**2 + 8*j. Let p(b) = -b**3 - b**2. Let d(q) = -2*g(q) + 22*p(q). Find s such that d(s) = 0.
-4, -1, 0
Let p(o) = -o**2 + 6*o - 4. Let l be p(4). Factor -21*n**3 - 2*n**2 + l*n + 2*n**4 - 27*n**3 + 44*n**3.
2*n*(n - 2)*(n - 1)*(n + 1)
Let y(g) be the second derivative of -3*g**5/170 + 5*g**4/102 - 2*g**3/51 + 11*g. Solve y(w) = 0 for w.
0, 2/3, 1
Let t(l) be the first derivative of -3 + 1/2*l + 1/12*l**3 - 3/8*l**2. Factor t(n).
(n - 2)*(n - 1)/4
Let v(j) = j**3 - j**2 - j - 1. Suppose -10 = -4*n + g, 5*n - g - 14 = g. Let k be v(n). Factor -3*u**2 - 2 - 4*u - k - 2*u.
-3*(u + 1)**2
Let o(q) be the third derivative of 0 - 1/10*q**5 + 0*q + 5*q**2 - 1/105*q**7 - 1/20*q**6 + 0*q**3 - 1/12*q**4. Factor o(t).
-2*t*(t + 1)**3
What is a in 230*a**5 + 9*a**4 - a**4 - 234*a**5 = 0?
0, 2
Let g = 5 - -1. Let q(w) be the second derivative of 1/12*w**3 - w - 1/8*w**2 + 1/120*w**g + 0 + 0*w**4 - 1/40*w**5. Factor q(d).
(d - 1)**3*(d + 1)/4
Solve 16 + 80*u + 32*u**2 - 158*u**3 + 48 + 162*u**3 = 0 for u.
-4, -2
Find c such that 20*c**4 - 24*c**3 + 15*c**4 + 27*c - 53*c**4 - 3*c**5 + 6*c**2 + 12 = 0.
-4, -1, 1
Let m(r) be the second derivative of -r**7/21 + r**6/15 + r**5/10 - r**4/6 + 28*r. Factor m(z).
-2*z**2*(z - 1)**2*(z + 1)
Let h(x) be the second derivative of -x + 0 + 0*x**2 - 8/21*x**7 + 2/3*x**3 + 5/3*x**4 - 2/3*x**6 + 3/5*x**5. Suppose h(l) = 0. What is l?
-1, -1/4, 0, 1
Let t(m) be the third derivative of -1/4*m**3 - 1/48*m**4 + 1/40*m**5 + 0 + 0*m + 6*m**2 + 1/240*m**6. Factor t(l).
(l - 1)*(l + 1)*(l + 3)/2
Let a(i) be the second derivative of i**7/105 + i**6/25 + 3*i**5/50 + i**4/30 - 15*i. Determine n, given that a(n) = 0.
-1, 0
Suppose n = 5*n - 16. Suppose 0*q = -2*m + q, -n*q = -16. Find s such that -7*s**m - 2*s + 1 - 1 + 1 - 4*s**3 = 0.
-1, 1/4
Let l(f) be the third derivative of -1/210*f**6 + 0*f - 2/105*f**5 + 0 + 4/735*f**7 + 5*f**2 + 1/392*f**8 - 1/84*f**4 + 0*f**3. Solve l(q) = 0 for q.
-1, -1/3, 0, 1
Solve -z**2 + 0*z - 1/3*z**3 + 0 = 0.
-3, 0
Suppose -12*n + 3*n = 3*n. Let d be (-8)/(-77) + (-2)/(-11). Determine x, given that n - d*x**2 + 4/7*x = 0.
0, 2
Determine w so that 0 + 0*w**3 + 0*w + w**4 - 4/3*w**2 - 1/3*w**5 = 0.
-1, 0, 2
Factor -3/8*b**3 + 0*b + 9/8*b**2 - 3/2.
-3*(b - 2)**2*(b + 1)/8
Let h(t) be the third derivative of -t**8/33600 - t**7/8400 + t**5/10 - 3*t**2. Let a(p) be the third derivative of h(p). Factor a(m).
-3*m*(m + 1)/5
Let p(x) be the third derivative of x**6/540 - x**5/180 - x**3 - 2*x**2. Let d(c) be the first derivative of p(c). Let d(g) = 0. What is g?
0, 1