iven that -i**2 + 0 + 1/2*i**5 + 0*i**3 + i**4 - 1/2*i = 0.
-1, 0, 1
Suppose -2*w + 4*h = 0, -3*w = -5*h - 1 - 1. Factor -3*p + 3*p - p**3 + p**w.
p**3*(p - 1)
Let x(g) be the first derivative of g**5/6 + 11*g**4/18 + 7*g**3/9 + g**2/3 - 3*g + 1. Let i(y) be the first derivative of x(y). Find r such that i(r) = 0.
-1, -1/5
Determine h so that 5/2 + 5/4*h**2 + 15/4*h = 0.
-2, -1
Let w(t) be the third derivative of -1/315*t**7 + 0 + 0*t**3 - 3*t**2 - 1/36*t**4 + 0*t - 1/30*t**5 - 1/60*t**6. Factor w(x).
-2*x*(x + 1)**3/3
Let u = 14443/9 + -1603. Solve 2/9*b + 0 + 32/9*b**3 + u*b**2 = 0.
-1/4, 0
Suppose 2*r - 8 = 2*w, -r - 14 + 0 = 5*w. Let y be (-4)/(-12) + (2 - r). Factor 0 - 1/3*u**3 - y*u - 4/3*u**2.
-u*(u + 2)**2/3
Factor 19 - 15*r**2 - 44 - 10*r + r**2 - 6*r**3 + 23.
-2*(r + 1)**2*(3*r + 1)
Find l, given that 1/2 - 1/4*l - 1/2*l**2 + 1/4*l**3 = 0.
-1, 1, 2
Let w(m) = m**2 + 3*m - 6. Let z be w(-5). Factor 2*n**5 - 2*n**3 - 6*n**3 + z*n**3 + 2*n.
2*n*(n - 1)**2*(n + 1)**2
Let v = 1243 - 1241. Suppose -8/3*w - 16/3 - 1/3*w**v = 0. Calculate w.
-4
Let i(s) be the first derivative of s**4/20 + s**3/5 + 3*s**2/10 + s/5 - 1. Let i(l) = 0. What is l?
-1
Let d(a) be the first derivative of 2*a**5/25 + a**4/10 - 2*a**3/5 - a**2 - 4*a/5 - 15. Determine v, given that d(v) = 0.
-1, 2
Suppose -a - 15 = 4*a. Let j be 2 + 7/a + 1. Let 2/3*h**2 + 0*h + 0 - 2/3*h**4 + j*h**3 - 2/3*h**5 = 0. What is h?
-1, 0, 1
Suppose -2*s + 12 = -3*m, 5*s - 2*m - 7 = 4*s. Let u(y) be the third derivative of 0*y - 1/20*y**5 + 3/8*y**4 - y**s + 4*y**2 + 0. Factor u(q).
-3*(q - 2)*(q - 1)
Let m(k) = -k**2 + 9*k. Let q be m(8). Let l be q/(-16) + 17/18. Solve -4/9 + 10/9*x - 2/9*x**2 - l*x**3 = 0.
-2, 1/2, 1
Let i = -20 - -121/6. Let l(d) be the second derivative of 0 + 3*d + d**2 + 0*d**3 - i*d**4. Factor l(f).
-2*(f - 1)*(f + 1)
Suppose -3*n - m - 1 = 4*m, 5*m + 4 = -2*n. Let 0*k - 1/3*k**4 + 0 - 1/3*k**2 - 2/3*k**n = 0. What is k?
-1, 0
Let d(r) be the third derivative of r**8/1176 + 2*r**7/735 - 2*r**6/105 - 8*r**5/105 + 4*r**4/21 + 32*r**3/21 + 20*r**2. Factor d(y).
2*(y - 2)**2*(y + 2)**3/7
Let j(r) = -3*r**3 - 10*r**2. Let z(m) = -50*m**3 - 170*m**2. Let p(w) = -35*j(w) + 2*z(w). Suppose p(k) = 0. Calculate k.
-2, 0
Let h(f) = 8*f**3 + 8*f**2 - 8*f. Let i(b) = -9*b**3 - 9*b**2 + 9*b - 1. Let p(o) = 5*h(o) + 4*i(o). Let p(v) = 0. What is v?
-1, 1
Let l(d) be the third derivative of d**8/1680 + d**7/420 + d**3/3 - 2*d**2. Let u(x) be the first derivative of l(x). Factor u(f).
f**3*(f + 2)
Let c(o) be the second derivative of o**7/21 - o**6/5 + 3*o**5/10 - o**4/6 - 30*o. Solve c(z) = 0.
0, 1
Let n(h) be the second derivative of -1/11*h**3 - 2/11*h**2 + 0 - 8*h - 1/66*h**4. Find t such that n(t) = 0.
-2, -1
Let c be ((-12)/(-10))/(1/5). Let q(j) = -8*j**2 - 4*j**3 + j + 3*j + 0*j + 1. Let x(f) = 3*f**3 + 7*f**2 - 3*f - 1. Let z(b) = c*q(b) + 7*x(b). Factor z(k).
-(k - 1)*(k + 1)*(3*k - 1)
Suppose 0 = q + 2*q + 3*k - 15, -3*q + 7 = -5*k. Let v(d) = d**2 - 3*d - 1. Let i be v(q). Find c, given that -2/3*c**i + 2*c + 0*c**2 - 4/3 = 0.
-2, 1
Suppose -4*v + 5*v - 3 = 0. What is y in 4/7 + 2/7*y**v - 2/7*y - 4/7*y**2 = 0?
-1, 1, 2
Let s(z) be the first derivative of z**6/3 - 2*z**5/7 - 9*z**4/14 + 10*z**3/21 + 2*z**2/7 - 6. Solve s(i) = 0.
-1, -2/7, 0, 1
Let l(j) be the first derivative of -10*j**4/3 + j**3 + 2*j**2 + 2*j + 3. Let d(x) be the first derivative of l(x). Find t such that d(t) = 0.
-1/4, 2/5
Solve -7/2*t**4 + 1/2*t**5 + 0 + 17/2*t**3 + 3*t - 17/2*t**2 = 0 for t.
0, 1, 2, 3
Suppose 3/4*v**2 + 0 - 3/2*v = 0. What is v?
0, 2
Let a(w) be the second derivative of w**8/420 + w**7/360 + w**6/1080 + w**3 + w. Let g(k) be the second derivative of a(k). Factor g(b).
b**2*(3*b + 1)*(4*b + 1)/3
Let u(w) = 2*w**2 + w. Let x(v) = -v**2 - 5*v + 3. Let q(g) = -u(g) - x(g). Factor q(d).
-(d - 3)*(d - 1)
Let x be 2/(2/(-5) - (-32)/30). Find o, given that 2/5*o + 2/5*o**2 - 2/5 - 2/5*o**x = 0.
-1, 1
Solve -78/11*g**2 + 288/11 + 6/11*g**4 - 24/11*g**3 + 240/11*g = 0.
-3, -1, 4
Let t(d) be the first derivative of 4*d**5/25 + d**4/5 - 16*d**3/15 - 8*d**2/5 + 9. Let t(n) = 0. What is n?
-2, -1, 0, 2
Let t be ((-4)/5)/(6/(-15)). Factor 4*c**2 - c + 1 - t*c**2 + c**3 - 3.
(c - 1)*(c + 1)*(c + 2)
Let h be 4/20 - (-10)/450. Solve 2/9*f**4 + 0 + 4/9*f**3 + 0*f + h*f**2 = 0 for f.
-1, 0
Find k such that -5*k**4 + 0*k**3 + 5*k**2 - 15*k**3 + 5*k**5 + 10*k**3 = 0.
-1, 0, 1
Let h(p) be the first derivative of 4*p**5/5 - 9*p**4 + 40*p**3 - 88*p**2 + 96*p - 28. Factor h(s).
4*(s - 3)*(s - 2)**3
Let p(j) = -2*j + 3. Let l be p(0). Let b(g) be the first derivative of 1/2*g**4 + 0*g**l + 2 + 0*g - g**2. Factor b(a).
2*a*(a - 1)*(a + 1)
Let u = 4567/118560 - 9/247. Let r(i) be the third derivative of -1/6*i**3 + 0 + u*i**6 + 0*i + 1/12*i**4 - 1/48*i**5 + i**2. Factor r(f).
(f - 2)**2*(f - 1)/4
Let c(p) = p**3 + p**2. Let r(l) = -8*l**3 - 4*l**2 - 4. Let o(t) = 14*c(t) + 2*r(t). Factor o(j).
-2*(j - 2)**2*(j + 1)
Let m(h) = -h**3 + 11*h**2. Let t be m(11). Let b(l) be the third derivative of 0 + t*l**3 + 0*l**5 + 0*l**4 + 0*l + l**2 - 1/60*l**6. Factor b(q).
-2*q**3
Suppose -14 - 4 = -3*t. Factor 8 + 12*f**2 - t*f**2 + 4*f**2 + 24*f.
2*(f + 2)*(5*f + 2)
What is u in -1/2*u**3 + 3/2*u + 0*u**2 + 1 = 0?
-1, 2
Let i(g) be the second derivative of -5*g**4/12 - 5*g**3/2 + 10*g**2 - 5*g. Factor i(a).
-5*(a - 1)*(a + 4)
Let t = 499/6 + -83. Let c(a) be the first derivative of a**2 + t*a**3 + 2 + 2*a. Factor c(m).
(m + 2)**2/2
Let z(t) be the third derivative of t**6/180 + t**5/20 - t**4/12 - 5*t**3/18 - 24*t**2. What is g in z(g) = 0?
-5, -1/2, 1
Solve -1/2*w**3 + 0*w**2 + 0*w**4 + 1/4*w**5 + 0 + 1/4*w = 0.
-1, 0, 1
Let v be ((-6)/5)/((-12)/40). Let w(a) be the first derivative of 1 + 5/2*a**v - 4*a + a**2 + 16/3*a**3. Determine y so that w(y) = 0.
-1, 2/5
Let w(g) be the second derivative of 1/80*g**5 + 1/32*g**4 + 1/24*g**3 + 3*g + 1/480*g**6 + 3/2*g**2 + 0. Let x(p) be the first derivative of w(p). Factor x(q).
(q + 1)**3/4
Suppose 0*j**2 - 1/4*j**3 + 1/2 + 3/4*j = 0. What is j?
-1, 2
Let g(p) be the first derivative of -4/11*p + 5/11*p**2 - 8/33*p**3 + 1 + 1/22*p**4. Factor g(a).
2*(a - 2)*(a - 1)**2/11
Let z(j) be the second derivative of -2*j**7/105 - j**6/15 + 2*j**5/25 + 11*j**4/30 - 4*j**3/15 - 4*j**2/5 - 8*j. Suppose z(s) = 0. Calculate s.
-2, -1/2, 1
Factor -6/5*y + 0 - 2/5*y**3 - 8/5*y**2.
-2*y*(y + 1)*(y + 3)/5
Let x(n) be the second derivative of -n**5/150 + n**4/30 - n**3/15 + 3*n**2/2 + 3*n. Let m(p) be the first derivative of x(p). Suppose m(c) = 0. What is c?
1
Let r(f) = f**2 + 1. Let c(l) = 6*l**2 - 4*l + 5. Let z(y) = -c(y) + 5*r(y). Factor z(t).
-t*(t - 4)
Let f be (35/(-25) - -1) + 2/4. Let a(n) be the first derivative of -1/10*n**4 - 1/25*n**5 + 3 + 2/15*n**3 + f*n**2 - 1/5*n + 1/30*n**6. Factor a(x).
(x - 1)**3*(x + 1)**2/5
Let k = 1105 + -9935/9. Suppose -14/9*w**3 + 0 - k*w**2 + 4/9*w = 0. What is w?
-1, 0, 2/7
Suppose -3*c = -4*i + 51, 4*i - 2*i + c = 33. Suppose 4*t + 4*d - 12 = 0, -i = -t - 8*d + 3*d. Factor -s**4 + 4*s**3 + s**2 - s - 3*s**3 + t*s**3.
-s*(s - 1)**2*(s + 1)
Let c(k) be the second derivative of 5*k**4/6 - 5*k**3/2 + 5*k**2/2 - 45*k. Solve c(r) = 0 for r.
1/2, 1
Determine w, given that -21/5*w**2 + 6/5*w + 0 + 9/5*w**3 = 0.
0, 1/3, 2
Let v(q) = 3*q**2 - 3*q - 2. Let x(j) = -7*j**2 + 7*j + 4. Let n(p) = -5*v(p) - 2*x(p). Solve n(w) = 0.
-1, 2
Suppose 3*j = -12, 0 = -4*m + 4*j - 7*j - 4. Factor -2/5 + 2/5*i**m + 0*i.
2*(i - 1)*(i + 1)/5
Let g be 8/(-6)*(-45)/6. Suppose -a + 3*i = 10, -5*a = -i + 4 - g. Factor -a*h**2 + 4*h**4 + 6*h**3 + 2*h**5 - 4*h**4 - 6*h**4.
2*h**2*(h - 1)**3
Let x(n) be the second derivative of -3*n**5/140 + n**4/28 - 8*n. Factor x(l).
-3*l**2*(l - 1)/7
Let q = -6/1907 - 141088/9535. Let a = q - -15. Determine g so that -a*g**3 + 2/5*g - 1/5*g**2 + 0 = 0.
-2, 0, 1
Let s(a) = a**2 + 2*a + 1. Let k(m) = 2*m**2 + 4*m + 2. Let t(q) = 6*k(q) - 13*s(q). Factor t(p).
-(p + 1)**2
Let k(j) = 5*j**4 - 9*j**3 + 4*j**2. Let i(o) = -o**4 + 2*o**3 - o**2. Let n(a) = 9*i(a) + 2*k(a). Factor n(t).
t**2*(t - 1)*(t + 1)
Suppose -4*j = -47 - 1. Factor 2*z**4 + z**2 + 3*z**3 - 4 + 10*z**2 - j*z**3.
(z - 2)**2*(z - 1)*(2*z + 1)
Let g(n) be the third derivative of 