2/5, 2
Let y(b) = -2*b**5 + 6*b**4 - 6*b**3 + 2*b**2 - 6*b. Let j(x) = x. Let s(i) = 12*j(i) + 2*y(i). Determine f, given that s(f) = 0.
0, 1
Let g(y) be the first derivative of y**4/30 - y**2/5 + 3*y + 2. Let d(o) be the first derivative of g(o). Solve d(x) = 0 for x.
-1, 1
Let c(u) = -u**3 + 2*u**2 + 3*u - 4. Let m(g) = g**3 - 3*g**2 - 3*g + 5. Let w(j) = -3*c(j) - 2*m(j). Find z such that w(z) = 0.
-2, 1
Let l(q) be the second derivative of -6*q**7/7 + 32*q**6/15 + 31*q**5/5 - 10*q**4 - 88*q**3/3 - 16*q**2 + 34*q. Suppose l(v) = 0. What is v?
-1, -2/9, 2
Let a = 0 + 2. Determine d, given that -3*d**5 + 4*d**3 - d**5 + 2*d**4 + 0*d**4 - a*d**2 = 0.
-1, 0, 1/2, 1
Let h(z) = -16*z**4 - 12*z**3 + 24*z**2 + 4*z. Let x(p) = 17*p**4 + 11*p**3 - 23*p**2 - 5*p. Let q(y) = -3*h(y) - 4*x(y). Factor q(j).
-4*j*(j - 1)*(j + 1)*(5*j + 2)
Let z = 1 - -2. Let c = -7 - -5. Let i(w) = -2*w**2 + 3*w - 4. Let f(j) = -2*j**2 + 4*j - 4. Let h(d) = c*i(d) + z*f(d). Factor h(v).
-2*(v - 2)*(v - 1)
Let -258*z**4 + 0*z**2 + z**2 + 257*z**4 = 0. Calculate z.
-1, 0, 1
Let s(y) = y**2 + y + 1. Let u(i) = i**2 + 7*i + 4. Let r(m) = -4*s(m) + u(m). Find o, given that r(o) = 0.
0, 1
Let n = 8/71 - 265/2982. Let i(s) be the second derivative of 0 - 2*s - 1/6*s**3 + n*s**7 - 1/6*s**4 + 1/15*s**6 + 0*s**2 + 0*s**5. Factor i(l).
l*(l - 1)*(l + 1)**3
Let h(m) be the second derivative of 2*m**6/15 + 2*m**5/5 + m**4/3 + 36*m. Let h(d) = 0. What is d?
-1, 0
Let w(u) be the first derivative of -1/2*u**2 + 0*u - 3/2*u**4 + 4/5*u**5 + 4/3*u**3 - 7 - 1/6*u**6. Determine d, given that w(d) = 0.
0, 1
Suppose -11*w + 11 = -22. Let w*l**3 - 2*l**2 + 1/2*l**5 + 1/2*l - 2*l**4 + 0 = 0. What is l?
0, 1
Suppose o + 2*n - 3 = 0, -o + 5*n = -0*o - 3. Let q(v) be the second derivative of v - 1/4*v**o + 0 - 1/2*v**2 + 0*v**4 + 1/40*v**5. Let q(t) = 0. Calculate t.
-1, 2
Let u be -19 - (5 + 6/(-2)). Let h be u/(-15) - (-1)/(-1). Let 2/5*o**2 + 2/5*o**3 - h - 2/5*o = 0. What is o?
-1, 1
Let d(o) be the first derivative of o**6/3 + 2*o**5 + 3*o**4 - 4*o**3/3 - 7*o**2 - 6*o - 15. Factor d(t).
2*(t - 1)*(t + 1)**3*(t + 3)
Let a(m) be the second derivative of -m**10/15120 - m**9/7560 + m**4/12 + m. Let g(r) be the third derivative of a(r). Factor g(c).
-2*c**4*(c + 1)
Let i(w) = -2*w**5 + 5*w**3 - w**2 - 2. Let r(l) = -l**5 + l**4 + l**3 - l**2 + l - 1. Let b(v) = i(v) - 3*r(v). Solve b(m) = 0 for m.
-1, 1
Find t, given that 2*t**3 + 3 + 1 - 6*t**2 - 4 = 0.
0, 3
Let i(c) = -c**3 - 1. Let j(n) = 2 + 1 - 2. Let w(f) = 2*i(f) + 2*j(f). Factor w(s).
-2*s**3
Let l(d) be the second derivative of 8/3*d**2 + 19/30*d**5 - 7*d - 44/9*d**3 + 31/9*d**4 + 25/63*d**7 + 0 - 14/9*d**6. Suppose l(q) = 0. What is q?
-1, 2/5, 1, 2
Let z(h) = h**3 + 2*h**2 - h. Let p(w) = 2*w**3 + 5*w**2 - 2*w. Let t(m) = -2*p(m) + 5*z(m). Factor t(v).
v*(v - 1)*(v + 1)
Let r(s) be the second derivative of -s**5/22 + s**4/11 - s**3/33 + 5*s. Find z, given that r(z) = 0.
0, 1/5, 1
Factor 2/3*z - 2/9 - 2/3*z**2 + 2/9*z**3.
2*(z - 1)**3/9
Suppose -3*q - 6 = -18. Let k be -3 - ((-5)/q - 2). Suppose -k*c**2 + 1/4 + 0*c = 0. Calculate c.
-1, 1
Let j(w) = 3*w**5 + w**4 + 9*w**2 + 2*w. Suppose 0*x - 5*x - 4*u = 8, 12 = 4*u. Let h(p) = 2*p**5 + 8*p**2 + 2*p. Let n(q) = x*j(q) + 5*h(q). Factor n(y).
-2*y*(y - 1)*(y + 1)**3
Let s(f) be the first derivative of -f**5/20 + f**4/2 - 2*f**3 + 4*f**2 - 4*f + 4. Let l(t) be the first derivative of s(t). Factor l(h).
-(h - 2)**3
Let f(c) = -c - 1. Let o be f(-3). Let g(u) = u**2. Let d(m) = -2. Let l(t) = o*g(t) + d(t). Solve l(n) = 0.
-1, 1
Let r(p) = 3*p**3 - 5*p**2 - 8*p + 8. Let b(z) = z**3 - 2*z**2 - 3*z + 3. Let g(s) = -8*b(s) + 3*r(s). Factor g(c).
c**2*(c + 1)
Suppose -h + 4 = 1, -2*k = h - 7. Let v be ((-3)/2)/((-2)/4). Factor -4/7*l**k + 0 + 2/7*l**v + 2/7*l.
2*l*(l - 1)**2/7
Let y(d) = d - 4*d + 4*d - 7. Let q be y(7). Suppose -3*m**2 + 4*m**2 + q*m**2 - 1 = 0. Calculate m.
-1, 1
Let i(s) be the second derivative of -s**6/15 + 2*s**5/5 - 5*s**4/6 + 2*s**3/3 - 13*s. Determine l so that i(l) = 0.
0, 1, 2
Let v(m) be the third derivative of -m**8/168 - m**7/30 - 19*m**6/240 - 5*m**5/48 - m**4/12 - m**3/24 + 7*m**2. What is x in v(x) = 0?
-1, -1/2
Let k = -21 - 13. Let y be k/(-15) - 8/(-20). Determine o so that 4/3 + y*o**2 + 6*o = 0.
-2, -1/4
Let f = -1/215 + 433/645. Factor 0*p + f*p**4 + 2/3 - 4/3*p**2 + 0*p**3.
2*(p - 1)**2*(p + 1)**2/3
Let g(d) be the second derivative of -3*d**5/20 + 3*d**4/4 - 3*d**3/2 + 3*d**2/2 - 26*d. Factor g(m).
-3*(m - 1)**3
Let t(a) = a**3 + a**2 + a - 3. Let l(s) = -3*s**3 - s**2 - 2*s + 6. Let j(z) = 2*l(z) + 5*t(z). Factor j(x).
-(x - 3)*(x - 1)*(x + 1)
Let g(u) = -u. Let a be g(-5). Suppose -4*j - 14 - 6 = 4*n, a*j = -3*n - 15. Let 4*s**3 - 2*s**2 - 3*s**4 + j*s**3 + s**4 = 0. What is s?
0, 1
Let b be (4/(-3)*1)/(-2). Factor 0 + 4/3*m + b*m**2.
2*m*(m + 2)/3
Factor 50/7 + 2/7*t**4 + 12/7*t**2 + 16/7*t**3 - 80/7*t.
2*(t - 1)**2*(t + 5)**2/7
Factor -8/5*s**4 + 6/5*s**5 + 4/5*s**2 + 0 - 2/5*s**3 + 0*s.
2*s**2*(s - 1)**2*(3*s + 2)/5
Let g(a) be the second derivative of -a**7/168 - a**6/60 + 3*a**5/80 + 5*a. Factor g(h).
-h**3*(h - 1)*(h + 3)/4
Find o such that -1/6*o**4 + 5/6*o**2 + 5/6*o**3 - 2/3 - 1/6*o**5 - 2/3*o = 0.
-2, -1, 1, 2
Determine o so that -o + 21 + 2*o**2 + 11 - 15*o = 0.
4
Let l = -1370 - -1372. Find y, given that 0 + 2*y**3 - 4/3*y + 10/3*y**l = 0.
-2, 0, 1/3
Let w = -147 - -150. Let h(t) be the first derivative of -1/9*t**2 - 1/2*t**4 - w + 0*t + 4/9*t**3 + 8/45*t**5. Factor h(z).
2*z*(z - 1)**2*(4*z - 1)/9
Let b(i) be the first derivative of 4*i**3/9 - 10*i**2/3 + 8*i + 5. Determine s so that b(s) = 0.
2, 3
Let u(f) = 3*f**3 - 3*f**2 - 6*f + 6. Let o(d) = 3*d**3 - 3*d**2 - 5*d + 5. Let z(m) = -6*o(m) + 5*u(m). Factor z(l).
-3*l**2*(l - 1)
Factor 0 - 4/5*t + 4/5*t**3 + 6/5*t**2.
2*t*(t + 2)*(2*t - 1)/5
Let n be 20/16 - (-6)/8. What is k in -1 + k**2 + 0*k**4 - 3/2*k - 1/2*k**5 + n*k**3 = 0?
-1, 1, 2
Let z(d) = 4*d - 2. Let j be z(1). Factor -4*g**2 + 2*g + 4*g**2 - 4*g**j + 2*g**3.
2*g*(g - 1)**2
Let x be (0 + 2)*(-18)/4. Let t be 3/x + 8/6. Let u(h) = -h**2 + h. Let b(p) = -5*p**2 + 3*p. Let y(w) = t*b(w) - 3*u(w). What is k in y(k) = 0?
0
Let g be 6/51 + (-1624)/(-68). Find z such that -g*z - 16/5 + 294/5*z**4 - 228/5*z**2 + 14*z**3 = 0.
-2/3, -2/7, 1
Let v be 4 + (40/(-4))/5. Let z be -2 + (-32)/(-14) + 0. Factor z*h**v - 4/7*h + 0.
2*h*(h - 2)/7
Let d(h) = -h**3 + 13*h**2 + 2*h - 26. Let n be d(13). Let t(s) be the second derivative of 3*s + 0 + n*s**3 + 0*s**2 - 1/78*s**4 + 1/130*s**5. Factor t(z).
2*z**2*(z - 1)/13
Let m(x) be the third derivative of x**5/180 - x**3/2 - 2*x**2 - 1. Factor m(n).
(n - 3)*(n + 3)/3
Factor 10/11 - 12/11*a + 2/11*a**2.
2*(a - 5)*(a - 1)/11
Let j(y) = y**2 + 13*y - 27. Let z be j(-15). Let w(l) be the first derivative of -2/3*l**3 + 0*l**2 + z + 2*l. Factor w(q).
-2*(q - 1)*(q + 1)
Let n(j) be the third derivative of -j**8/2400 - j**7/3150 + j**4/12 + 3*j**2. Let g(c) be the second derivative of n(c). Determine o so that g(o) = 0.
-2/7, 0
Let y(r) be the first derivative of -4/21*r**3 + 0*r**2 - 2/5*r**5 + 4 + 9/14*r**4 + 0*r. Factor y(o).
-2*o**2*(o - 1)*(7*o - 2)/7
Let j be (-6)/14 - (-815)/1575. Let a(b) be the first derivative of -4/27*b**3 + 1/9*b**2 + 1 + j*b**5 + 0*b + 0*b**4 - 1/27*b**6. Factor a(p).
-2*p*(p - 1)**3*(p + 1)/9
Suppose -h - h - 28 = -r, -68 = -3*r + 2*h. Let y = 1439/28 - 177/4. What is m in 8*m + r*m**3 + 138/7*m**2 + 8/7 + y*m**4 = 0?
-1, -2/5
Let g be (5/1 - 7)/(-8). Factor -g*p - 1/4*p**2 + 0.
-p*(p + 1)/4
Factor -1/5*t + 0 - 13/10*t**3 - 3/2*t**2.
-t*(t + 1)*(13*t + 2)/10
Let l(b) be the third derivative of -b**6/360 - b**5/90 + b**4/72 + b**3/9 + 8*b**2. Let l(h) = 0. What is h?
-2, -1, 1
Let o(j) be the third derivative of -11*j**5/180 + 13*j**4/72 - j**3/9 - j**2. Determine s so that o(s) = 0.
2/11, 1
Let w = -17 + 24. Suppose -w = b + 3*c, -3*b = -7*b + 5*c + 23. Determine y so that -2/7*y - 2/7*y**b + 0 = 0.
-1, 0
Let j(k) be the second derivative of -k**2 + 5/36*k**5 + 0 - 5/36*k**4 + 1/18*k**3 - 3*k. Let m(b) be the first derivative of j(b). Factor m(s).
(5*s - 1)**2/3
Let p(f) be the first derivative of 14*f**3/33 - 10*f**2/11 + 6*f/11 - 12. What is h in p(h) = 0?
3/7, 1
Let l