135*s**4 - 104*s**2 + 49*s + 24*s**3 = 0.
2, 4
Let h = 97/147 + -16/49. Determine l so that -1/9*l**3 + 2/9 + 0*l**2 + h*l = 0.
-1, 2
Let i(l) be the first derivative of l**3/12 + 5*l**2/8 - 23. Suppose i(v) = 0. What is v?
-5, 0
Let g(k) be the third derivative of k**7/315 - k**6/180 + 9*k**2. Factor g(m).
2*m**3*(m - 1)/3
Let x = 27 + -18. Solve 4*u - u**2 - 5*u + 7*u + 0 - x = 0 for u.
3
Let y(b) = 11*b + 2. Let n be y(-4). Let q be 2/4*n/(-9). Find h, given that q*h**5 - 2/3*h**3 + 0 - 5/3*h**4 + 0*h + 0*h**2 = 0.
-2/7, 0, 1
Let r(v) be the third derivative of -v**5/75 + v**4/15 + v**2. Factor r(n).
-4*n*(n - 2)/5
Let s(f) be the third derivative of 0*f**5 + 4*f**2 + 0 + 1/35*f**7 - 1/40*f**6 + 0*f + 0*f**3 - 1/112*f**8 + 0*f**4. Factor s(b).
-3*b**3*(b - 1)**2
Determine b, given that -1/5*b**3 + 4/5*b**2 - b + 2/5 = 0.
1, 2
Let c(z) be the second derivative of -z**8/20160 + z**7/3780 - z**6/2160 + z**4/6 + z. Let b(h) be the third derivative of c(h). Factor b(g).
-g*(g - 1)**2/3
Let k(u) = -15*u**3 - 3*u**2 + 12*u + 12. Let l(o) = -o**3 + o + 1. Let x(n) = -k(n) + 12*l(n). Suppose x(i) = 0. Calculate i.
-1, 0
Let f(k) = 1 + k**2 - 12*k - 8 - 4*k**2. Let q(p) be the second derivative of p**4/12 - p**3/6 - p**2/2 - 2*p. Let g(w) = f(w) - 6*q(w). Factor g(x).
-(3*x + 1)**2
Let c(f) = -f**3 - 2*f**2 + 1. Let y(i) = i**2 + 5*i - 7. Let v be y(-6). Let r be c(v). Factor 18/7*x**2 + 4/7*x + r.
2*x*(9*x + 2)/7
Let w = 6 - 1. Suppose -3*n + 5*y = -13 - 4, 17 = w*n + 3*y. What is z in 3*z**2 - n*z + 3*z + 2*z = 0?
-1/3, 0
Let o = -123/4 - -31. Factor 1/4*g**2 + o*g**3 - 1/4*g**4 + 0*g - 1/4*g**5 + 0.
-g**2*(g - 1)*(g + 1)**2/4
Let d(q) = q**2 - 5*q - 9. Let o be d(7). Suppose -2*g = -o*g. Factor 3*w + 1 + g*w**2 + 2*w**2 + w**3 + w**2.
(w + 1)**3
Let g be (1/5)/(6/48). Determine k so that -g - 2/5*k**2 - 8/5*k = 0.
-2
Let z(q) = q**2 + 4*q - 2. Let c be z(-5). Factor w - 8*w**2 + 3*w - 3*w**c + 7*w**3.
4*w*(w - 1)**2
Suppose 4*r + 0*r = 2*u - 18, -15 = 5*r. Solve 1/2*f - 1/2*f**4 + 3/2*f**2 - 1 - 1/2*f**u = 0.
-2, -1, 1
Let p(q) be the second derivative of 3*q**5/20 + 3*q**4/2 + 11*q**3/2 + 9*q**2 + 26*q. Factor p(z).
3*(z + 1)*(z + 2)*(z + 3)
Factor -4 - 11 + 9*q**3 + 2*q**2 - 12 + 99*q - 59*q**2.
3*(q - 3)**2*(3*q - 1)
Let k(o) be the second derivative of -o**7/63 + o**6/135 + 11*o**5/90 + o**4/18 - 8*o**3/27 - 4*o**2/9 - 9*o. Let k(p) = 0. Calculate p.
-1, -2/3, 1, 2
Let z(r) be the first derivative of r**5/10 - r**4/4 - r**3/2 + 6. Suppose z(c) = 0. Calculate c.
-1, 0, 3
Let c = 9 + -11. Let b = c + 2. Factor 0*p + b + 2/9*p**4 + 0*p**2 + 0*p**3.
2*p**4/9
Let w(g) be the second derivative of g**5/180 + g**4/108 + 23*g. Find k, given that w(k) = 0.
-1, 0
Let q(b) be the second derivative of -6*b + 1/60*b**6 + 1/20*b**5 + b**2 - 1/3*b**3 + 0 - 1/8*b**4. Solve q(s) = 0 for s.
-2, 1
Suppose -g - z - 7 = 0, g + z + 13 = -3*g. Let j = g + 4. Let 0*l + 0 - 1/2*l**4 - 1/2*l**j + l**3 = 0. What is l?
0, 1
Let n(p) be the second derivative of p**6/135 - p**5/90 - p**4/27 - 4*p. Factor n(g).
2*g**2*(g - 2)*(g + 1)/9
Let i = 904/5 - 180. Find q, given that -2/5 - i*q - 2/5*q**2 = 0.
-1
Let v be (6 - -12)/(3 + 1). Find m, given that -27/2*m + v*m**2 - 1/2*m**3 + 27/2 = 0.
3
Determine l, given that 28*l**2 - 24*l**2 - 14 - 32*l - 22 = 0.
-1, 9
Let g(a) be the first derivative of 3*a + a**6 - 4*a**3 - 3/2*a**4 + 0*a**2 + 9/5*a**5 + 2. Determine j, given that g(j) = 0.
-1, 1/2, 1
Let u = 17/12 - -1/12. Find w, given that -3/2*w**2 + 3/2*w**3 + 3/2*w**4 + 0 - u*w = 0.
-1, 0, 1
Solve -1/3*f**4 + 0*f**3 + 0*f - 1/3 + 2/3*f**2 = 0.
-1, 1
Factor 17*m**3 - m**2 + 3*m**4 - 4*m - 13*m**3 - 5*m**2 + 3*m**4.
2*m*(m - 1)*(m + 1)*(3*m + 2)
Let z(w) be the second derivative of -w**4/72 - w**3/9 - w**2/4 - 6*w. Find n such that z(n) = 0.
-3, -1
Let v be (2 + 0 - (-38)/(-20))*4. Factor 6/5*s**3 - 6/5*s**2 - v*s**4 + 0 + 2/5*s.
-2*s*(s - 1)**3/5
Let c = -161/3 + 54. Determine p, given that 1/3*p**4 + 0 - 2/3*p + p**3 - 1/3*p**5 - c*p**2 = 0.
-1, 0, 1, 2
Let x be (-27)/(-4) + 6/(-8). Suppose x*i - 3 = 27. Find m, given that -2/11*m + 0*m**3 + 4/11*m**4 + 2/11*m**i + 0 - 4/11*m**2 = 0.
-1, 0, 1
Let 0 - 3*m**2 + 3/4*m**3 + 3*m = 0. Calculate m.
0, 2
Let r(n) = n**2 - 4*n - 4. Let d(b) = b**2. Suppose -7*j + 16 = -3*j. Let t = -6 + j. Let z(k) = t*r(k) + 4*d(k). Let z(x) = 0. Calculate x.
-2
Let g(f) be the second derivative of f**4/132 - f**3/33 - 3*f**2/22 - 5*f. Let g(c) = 0. Calculate c.
-1, 3
Let x be (0/(-2))/2*5/5. Let k(v) be the third derivative of 0*v + 0 - 1/240*v**5 + 2*v**2 + x*v**3 - 1/48*v**4. Factor k(j).
-j*(j + 2)/4
Let o = -220 + 1543/7. Let 6/7*h + 0 + o*h**2 = 0. What is h?
-2, 0
Let h(z) be the third derivative of z**5/210 + z**4/21 + 4*z**3/21 + 21*z**2. Factor h(q).
2*(q + 2)**2/7
Let p(w) be the second derivative of w**4/3 + 2*w**3/3 - 4*w**2 + 2*w. Factor p(n).
4*(n - 1)*(n + 2)
Let r(n) be the first derivative of -1/8*n**4 + 1 + 1/3*n**3 + 1/4*n**2 - n. Factor r(q).
-(q - 2)*(q - 1)*(q + 1)/2
Let k(g) = 4 + 4 + 4*g - 11*g**4 - 4 - 5*g**3 - 4*g**3 + 2*g**2. Let q(v) = v**4 + v**3 - v - 1. Let m(u) = -k(u) - 4*q(u). Factor m(a).
a**2*(a + 1)*(7*a - 2)
Let d(p) be the first derivative of -8*p**6/45 - 4*p**5/15 + 19*p**4/30 + 16*p**3/45 - 11*p**2/15 + 4*p/15 - 15. Solve d(x) = 0.
-2, -1, 1/4, 1/2, 1
Suppose -21*h - f + 1 = -16*h, 5*h - f = -1. Find u, given that 3/2*u**3 + u + h - 5/2*u**2 = 0.
0, 2/3, 1
Factor 40 + 38 + a**2 - 78.
a**2
Let h(o) = o. Let j be h(2). Solve -14*y + 6*y + 7*y + 4*y**j - 3*y**2 = 0.
0, 1
Find x, given that -686/5 - 42/5*x**2 + 2/5*x**3 + 294/5*x = 0.
7
Let f(y) be the third derivative of y**8/672 - y**6/120 + y**4/48 - 7*y**2. What is a in f(a) = 0?
-1, 0, 1
Let z = 968 + -966. Suppose -2*h - 2 = 3*a - a, -a + 4*h = -4. Suppose 0*l + 2/7*l**z + a + 2/7*l**3 = 0. What is l?
-1, 0
Suppose 12*d + 8 - 4*d**2 - 28*d + 12*d = 0. Calculate d.
-2, 1
Let a(k) be the first derivative of 2*k**5/25 - k**4/5 - 8*k**3/15 + 2*k**2/5 + 6*k/5 + 24. Let a(p) = 0. What is p?
-1, 1, 3
Let x be ((-425)/210)/17 + (-2)/(-7). Let r(f) be the first derivative of -1 + 0*f + 0*f**2 - x*f**3. Determine a, given that r(a) = 0.
0
Let a(g) = -2*g + 2*g - g + 3. Let c be a(0). Solve -4/3*t**2 + 14/3*t**c + 0 - 14/3*t**5 + 4/3*t**4 + 0*t = 0 for t.
-1, 0, 2/7, 1
Let n(z) be the second derivative of 21*z**5/110 + 29*z**4/66 + 4*z**3/33 - 4*z**2/11 + 4*z. Suppose n(q) = 0. Calculate q.
-1, -2/3, 2/7
Let m(l) be the first derivative of -l**4/3 + 7*l**3/9 + l**2/3 - 2. Factor m(r).
-r*(r - 2)*(4*r + 1)/3
Let o = -2669/15 - -178. Let y(u) be the second derivative of 0*u**2 - 1/30*u**4 + o*u**3 + 0 - u. Factor y(r).
-2*r*(r - 1)/5
Let l(b) = b**3 + 7*b**2 + 6*b. Suppose -4*o + 20 = -4*p, -3*p - 2*p = 2*o + 32. Let c be l(p). What is j in c + 8*j + 10*j**3 - 2*j**4 - 16*j**2 + 0 = 0?
0, 1, 2
Let u = -14631471/98995 - -2/19799. Let j = 149 + u. Suppose -6/5*y**2 - 2/5*y**3 - 2/5 - j*y = 0. Calculate y.
-1
Let o(c) = -5*c - 1. Suppose -3*r - 5*t + 12 = 0, -4*r - 11 = -3*t + 2. Let p be o(r). Let 6/5*f**3 - 6/5*f**2 + 2/5*f - 2/5*f**p + 0 = 0. Calculate f.
0, 1
Determine y, given that -8*y**2 - 80*y**3 + 4*y**4 + 4 + 80*y**3 = 0.
-1, 1
What is k in 31*k**2 - 59*k**2 + 9*k + 3*k**4 + 6*k**5 + 25*k**2 - 15*k**3 = 0?
-3/2, -1, 0, 1
Factor -6/5*v**3 - 4/5*v**2 + 0 - 4/5*v**4 - 1/5*v - 1/5*v**5.
-v*(v + 1)**4/5
Let k(c) be the second derivative of 0*c**2 - 1/6*c**4 + 0 - 3*c + 1/3*c**3. Solve k(w) = 0 for w.
0, 1
Let l(j) be the first derivative of 21*j**4/16 + 13*j**3/2 + 15*j**2/2 - 6*j - 8. Factor l(r).
3*(r + 2)**2*(7*r - 2)/4
Let w be (0/(-1 - 1))/(2/(-2)). Let z(h) be the first derivative of -1/16*h**4 - 1/8*h**2 + 1/6*h**3 + w*h - 3. Factor z(c).
-c*(c - 1)**2/4
Let j(n) = n**3 - n**2 + n - 1. Let u(z) = 3*z**5 - 12*z**4 + 24*z**3 - 18*z**2 + 9*z - 6. Let l(h) = 6*j(h) - u(h). Suppose l(d) = 0. What is d?
0, 1
Determine n so that 6/5*n**3 + 0 - 3/5*n - 3/5*n**2 = 0.
-1/2, 0, 1
Let t(o) be the second derivative of -o**6/15 + o**5/2 - 4*o**4/3 + 4*o**3/3 + 6*o. Find s such that t(s) = 0.
0, 1, 2
Suppose -72/19 - 2/19*x**2 + 24/19*x = 0. Calculate x.
6
Let t(z) = 2*z**4 + 3*z**3 + z**2. Let d(x) = -2*x**4 - 7*x - x**3 + 7*x - x**3. Let a(b) = -3*d(b) - 4*t(b). Factor