(r + 2)
Let k(l) = -l**5 - 8*l**4 - 9*l**3 + 40*l**2 - 28*l - 3. Let s(d) = -d**3 - d - 1. Let m(v) = -k(v) + 3*s(v). Let m(w) = 0. What is w?
-5, 0, 1
Let g(f) = 14*f**4 + 2*f**3 - 26*f**2 + 38*f - 12. Let x(j) = 9*j**4 + j**3 - 17*j**2 + 25*j - 8. Let i(z) = -5*g(z) + 8*x(z). Factor i(v).
2*(v - 1)**3*(v + 2)
Let n be 12 + -11 + (-6)/10. Let 4/5*p**2 - 2/5*p - n = 0. Calculate p.
-1/2, 1
Let d(p) = p - 10. Let g be d(12). Let l(z) be the first derivative of 2/3*z**g + 0*z + 2 + 10/9*z**3 - 2/3*z**5 - 1/3*z**4. Suppose l(v) = 0. Calculate v.
-1, -2/5, 0, 1
Suppose -4*q + 5*k = 9, 0 = -4*q - 2*k - 3*k + 41. Suppose -2 = p - q. Factor -6*d**3 + d**3 + p*d**5 + 3*d**3.
2*d**3*(d - 1)*(d + 1)
Let g(k) = -5*k + 17. Let z be g(3). Let w(n) be the second derivative of 0 + 1/30*n**4 - 3*n + 0*n**z + 2/15*n**3. Factor w(v).
2*v*(v + 2)/5
Let s(v) = -21*v - 18. Let m(z) = z**2 + 41*z + 35. Let x(f) = 3*m(f) + 5*s(f). Let x(w) = 0. Calculate w.
-5, -1
Let t(l) = -l + 8. Let v be t(-4). Let o be 215/150 + 2/v. Factor -24/5*s - 18/5*s**2 - o.
-2*(3*s + 2)**2/5
Let s be (-64)/(-255) + 2*6/(-102). Factor -2/15*h + 2/15 + 2/15*h**3 - s*h**2.
2*(h - 1)**2*(h + 1)/15
Let j(f) be the first derivative of -4*f**6/57 - 6*f**5/95 + 5*f**4/38 + 2*f**3/19 - f**2/19 - 12. Determine c so that j(c) = 0.
-1, 0, 1/4, 1
Suppose -5*o + 2*n - 4 = 0, 6*o - 2*o - 3*n + 6 = 0. Find w such that -10*w**3 - 5*w**2 + o*w**2 - 9*w**2 - w - 3*w = 0.
-1, -2/5, 0
Suppose i + 22 = 5*f + 2*i, -4*i - 2 = 2*f. Let x(u) be the second derivative of -1/4*u**2 + 0 + 1/4*u**3 + 2*u + 1/40*u**f - 1/8*u**4. What is s in x(s) = 0?
1
Let b(l) be the third derivative of -l**6/120 - l**5/30 - l**4/24 - l**3/3 - 2*l**2. Let x be b(-2). Factor x*k**4 + 6*k**3 + 2*k**2 + 2*k**4 + 4*k**2 + 2*k.
2*k*(k + 1)**3
Suppose 5*p + 2*y = -3*y, 2*p - y - 12 = 0. Let c be p/12 + 1/(-3). Solve -4 - x**4 + 15*x - 3*x + c*x + 6*x**3 - 13*x**2 = 0 for x.
1, 2
Let p be 39/18 + -1 + 8/(-16). Let j = 10 + -28/3. Factor -j*t**3 + 0*t**2 + 0*t**4 + p*t**5 + 0 + 0*t.
2*t**3*(t - 1)*(t + 1)/3
Let o = 4 - 8. Let w be (-10)/o + (-1)/(-2). Determine r, given that -1/2*r**5 + 0*r**w + 0*r**2 + 0 + 0*r + r**4 = 0.
0, 2
Let j = 47 + -43. Determine f, given that 0*f + 0 - 2/3*f**3 + 2/3*f**j + 0*f**2 = 0.
0, 1
Let m = -1/16 + 9/16. Solve 3/4*l - m - 1/4*l**2 = 0.
1, 2
What is p in -2*p**4 - 3*p**5 + 5*p**5 + p**5 - 5*p**5 = 0?
-1, 0
Let a(u) be the second derivative of u**7/21 + 2*u**6/15 - 3*u**5/10 - 2*u**4/3 + 4*u**3/3 - 9*u. Suppose a(h) = 0. What is h?
-2, 0, 1
Let j be ((-2)/(-4))/(98/28). Let b(o) be the first derivative of 1/21*o**6 + 2/35*o**5 - 1/7*o**4 - 4/21*o**3 + 2/7*o + j*o**2 + 4. Let b(v) = 0. What is v?
-1, 1
Let j(y) be the first derivative of -10*y**3/3 + 5*y**2/2 + 35. Find m such that j(m) = 0.
0, 1/2
Let c be 5/6*(-3 + (-76)/(-20)). Find q, given that 1/3 - c*q**3 + 1/2*q + 1/6*q**5 - 1/3*q**2 + 0*q**4 = 0.
-1, 1, 2
Suppose -79 - 50 = -43*l. Factor -1/5*a**l + 0*a + 0*a**2 + 0.
-a**3/5
Let l(o) be the first derivative of 2*o**5/65 - o**4/13 + 2*o**2/13 - 2*o/13 + 57. Find b, given that l(b) = 0.
-1, 1
Let g(w) be the first derivative of 2*w**3/33 - w**2/11 - 4*w/11 - 3. Factor g(p).
2*(p - 2)*(p + 1)/11
Let l(k) = -10*k**2 - k + k**4 + 3*k**2 + 6*k**3 + 7 + 8*k. Let d(o) = -o**4 - 5*o**3 + 6*o**2 - 6*o - 6. Let v(n) = 7*d(n) + 6*l(n). Factor v(h).
-h**3*(h - 1)
Find x such that -2*x**3 + 36*x + 4*x**3 + 24*x**2 + 2*x**3 = 0.
-3, 0
Let g = 400/3 - 132. Solve -g*q**2 + q + 1/3 = 0.
-1/4, 1
Let o(n) = -7*n**2 + 5*n**3 + 6*n - 4*n - 7*n. Let c(q) = -2*q**3 + 3*q**2 + 2*q. Let d(w) = 7*c(w) + 3*o(w). Factor d(x).
x*(x - 1)*(x + 1)
Let v = 20/91 + -1494/1001. Let a = 2/33 - v. Solve a*c**2 - 2/3 - 2/3*c**4 + 0*c**3 + 0*c = 0 for c.
-1, 1
Let a(l) be the third derivative of l**8/1344 - l**6/480 - 2*l**2. Let a(n) = 0. What is n?
-1, 0, 1
Let r(v) be the third derivative of 1/42*v**6 - 1/35*v**5 + 0*v + 4*v**2 + 0 + 0*v**3 - 1/21*v**4. Factor r(g).
4*g*(g - 1)*(5*g + 2)/7
Let r(n) = 135*n**2 - 485*n + 485. Let y(b) = 5*b**2 - 18*b + 18. Let a(o) = -2*r(o) + 55*y(o). Factor a(i).
5*(i - 2)**2
Suppose 27 = 3*h - 3*g, 3*g - 5 = 4*g. Factor x**h + 0*x**3 + 2*x**3 - 2*x**4 - x**3.
-x**3*(x - 1)
Let k(x) = -2*x**2 - 3*x - 10*x**2 - x**3 - x**4 + 17*x**4 - 4. Let m(t) = 81*t**4 - 6*t**3 - 60*t**2 - 15*t - 21. Let r(n) = -21*k(n) + 4*m(n). Factor r(z).
-3*z*(z - 1)*(z + 1)*(4*z + 1)
Suppose 0 = -2*g + 2 + 6. Determine s so that 6*s**3 + g + 4*s**2 - 2 - 2 = 0.
-2/3, 0
Suppose -7*m + 3*m + 8 = 0. Let -6*y**m - 17*y**4 + 14*y**4 + y**5 - 4*y**5 + 3*y + 9*y**4 = 0. Calculate y.
-1, 0, 1
Let l(i) be the second derivative of i**6/63 - 9*i**5/70 + 5*i**4/14 - 29*i**3/63 + 2*i**2/7 + 34*i. What is x in l(x) = 0?
2/5, 1, 3
Let u(q) = -4*q - 154. Let a be u(-39). Factor -1/2*b**a + 1/2 + 1/4*b**3 - 1/4*b.
(b - 2)*(b - 1)*(b + 1)/4
Let f(d) be the second derivative of 1/15*d**5 + 1/3*d**4 + 1/180*d**6 + 0 + 2*d - 1/6*d**3 + 0*d**2. Let b(h) be the second derivative of f(h). Factor b(i).
2*(i + 2)**2
Let b(y) = -y**5 - 16*y**4 + 7*y**3 + 21*y**2 - 11*y. Let a(o) = -16*o**4 + 8*o**3 + 20*o**2 - 12*o. Let f(w) = 5*a(w) - 4*b(w). Find j, given that f(j) = 0.
-1, 0, 1, 2
Let h(a) be the second derivative of 2*a**7/21 + 4*a**6/15 - 3*a**5/5 - 4*a**4/3 + 8*a**3/3 - 13*a. Determine m so that h(m) = 0.
-2, 0, 1
Suppose t + 2*t**2 + 4 - 2*t**3 + t - 4*t**2 - 2 = 0. Calculate t.
-1, 1
Let z(i) = -6*i**5 - 9*i**4 - 3*i**2 - 3*i. Let v(j) = -7*j**5 - 10*j**4 + j**3 - 4*j**2 - 4*j. Let l(f) = -3*v(f) + 4*z(f). Factor l(c).
-3*c**3*(c + 1)**2
Let z(f) be the second derivative of f**7/945 - f**6/180 + f**4/27 - f**2 + 2*f. Let u(p) be the first derivative of z(p). Determine q so that u(q) = 0.
-1, 0, 2
What is j in 0 + 20/7*j**4 + 12/7*j**5 + 24/7*j - 52/7*j**3 - 4/7*j**2 = 0?
-3, -2/3, 0, 1
Let k(w) be the first derivative of -w**4 + 6*w**2 + 8*w + 8. Factor k(g).
-4*(g - 2)*(g + 1)**2
Let b(r) be the second derivative of r**5/20 - 5*r**4/12 + 31*r. Find w such that b(w) = 0.
0, 5
Let y be 3 + (-4 - -10) + -2. Let c(p) be the third derivative of 1/1344*p**8 - 1/240*p**6 + 0*p + 1/96*p**4 + 0*p**3 - p**2 + 0*p**y + 0 + 0*p**5. Factor c(n).
n*(n - 1)**2*(n + 1)**2/4
Let c(a) be the first derivative of 4*a**3/15 - 24*a**2/5 + 144*a/5 - 5. Factor c(k).
4*(k - 6)**2/5
Let x(b) = 3*b + 1. Let l be x(1). Find f, given that 3*f**4 - 3*f**2 + 6*f**l - 6*f**4 = 0.
-1, 0, 1
Let f = -25 + 29. Suppose 2/5*y**5 + 0*y**3 + 0 + 0*y + 2/5*y**f + 0*y**2 = 0. Calculate y.
-1, 0
Solve -3/5*y**5 + 0*y + 0*y**3 + 3/5*y**4 + 0*y**2 + 0 = 0.
0, 1
Let t(x) = -x**2 - x - 1. Let z(j) = 4*j**4 - 17*j**2 + 3*j - 5. Let s(b) = 5*t(b) - z(b). Find o such that s(o) = 0.
-2, 0, 1
Let v(o) = -7*o**2 + 16*o - 9. Let y(j) be the third derivative of -j**5/15 + j**4/3 - 2*j**3/3 + 3*j**2. Let r(q) = -2*v(q) + 5*y(q). Factor r(c).
-2*(c - 1)*(3*c - 1)
Let g(u) be the first derivative of 5*u**4/4 - 20*u**3/3 - 5*u**2/2 + 20*u - 26. Let g(y) = 0. Calculate y.
-1, 1, 4
Suppose -4*f - 15 + 47 = 4*k, 5*f + 2*k - 31 = 0. Find g such that 12/7*g**3 - 6/7*g - 4/7*g**4 - 4/7 + 8/7*g**2 - 6/7*g**f = 0.
-1, -2/3, 1
Let k(s) be the third derivative of -1/600*s**6 + 1/60*s**4 + 0 - 1/300*s**5 + 0*s**3 + 2*s**2 + 0*s. Factor k(d).
-d*(d - 1)*(d + 2)/5
Let r be (2 + -2)/(-1*3). Suppose r = -h - 3*h + 12. Factor -1/3*g**h + 0 - 1/3*g**2 + 0*g.
-g**2*(g + 1)/3
Let b be (-35)/(-15) + 2/(-6). Factor -4*i**3 - 2*i**4 + 4*i**2 + 2*i - 2 + 3 - b + 2*i**5 - 1.
2*(i - 1)**3*(i + 1)**2
Let t(u) be the first derivative of 0*u**3 + 2/3*u**2 + 2/3*u - 1/3*u**4 - 2/15*u**5 + 3. Let t(q) = 0. Calculate q.
-1, 1
Let k be (4/5)/((-144)/56). Let p = k - -8/15. Determine u so that 0*u**4 + p*u**2 - 2/9 + 2/3*u - 14/9*u**3 + 8/9*u**5 = 0.
-1, 1/2, 1
Let p(a) be the first derivative of -3*a**4/16 - 5*a**3/4 - 21*a**2/8 - 9*a/4 - 8. Let p(x) = 0. Calculate x.
-3, -1
Let r = 248/345 - 6/115. Find y such that -r*y**4 - 2/3*y**3 + 10/3*y + 2*y**2 + 4/3 = 0.
-1, 2
Let p = -9 - -25. Suppose 4*m - 5*i - 6 = p, -4*m = -3*i - 18. Factor -8/7*t**2 - 10/7*t - 4/7 - 2/7*t**m.
-2*(t + 1)**2*(t + 2)/7
Let u be (18/12)/(6/8). Determine j, given that j**4 + 2*j**5 + 2*j + 4*j**u - 6*j**3 - j**2 + 0*j**3 - 2*j**2 = 0.
-2, -1/2, 0, 1
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