te n.
-1
Factor 2/3*p**2 - 2/3 + 2/3*p**3 - 2/3*p.
2*(p - 1)*(p + 1)**2/3
Let p = -311 - -15240/49. Let u = p + 387/245. Solve 2/5*l**2 + 8/5 - u*l = 0.
2
Let l(g) = 2*g**3 + 6*g**2 - 4*g - 4. Let y(n) = -2*n**3 - 5*n**2 + 4*n + 3. Let v(h) = -3*l(h) - 4*y(h). Find j such that v(j) = 0.
-2, 0, 1
Suppose -q**2 - 5*q - 3*q - 4*q**2 + 9*q**2 = 0. Calculate q.
0, 2
Suppose 5*h - 3*n + 3 = 0, 2*h - h + 5*n - 5 = 0. Determine q so that h*q + 2/11*q**2 + 0 = 0.
0
Let d(l) be the third derivative of l**6/80 + 3*l**5/40 - l**3 + 4*l**2. Solve d(a) = 0.
-2, 1
Let t(w) = -w**3 + 5*w**2 + 3*w - 28. Let k be t(4). Factor k + 2/9*f**2 + 0*f - 2/9*f**3.
-2*f**2*(f - 1)/9
Let x(z) = -24*z**2 - 34*z + 30. Let t(b) = -5*b**2 - 7*b + 6. Let m(g) = 14*t(g) - 3*x(g). Factor m(a).
2*(a - 1)*(a + 3)
Let c(k) be the first derivative of -k**4/4 - 5*k**3 - 13*k**2/2 + 16*k - 8. Let x be c(-14). Factor 2/11*t**3 - 2/11*t**4 + 0 - 2/11*t**5 + 2/11*t**x + 0*t.
-2*t**2*(t - 1)*(t + 1)**2/11
Let x = -24 - -28. Let s(p) be the third derivative of 1/270*p**5 + 0*p + 0 + 0*p**3 - 1/540*p**6 - 3*p**2 + 0*p**x. Factor s(y).
-2*y**2*(y - 1)/9
Let k(o) be the second derivative of o**7/2520 + o**6/720 + o**4/12 - 2*o. Let i(z) be the third derivative of k(z). Factor i(q).
q*(q + 1)
Let r(j) = 2*j**2 - 7*j - 5. Let o(i) be the first derivative of i**2/2 + i + 7. Let z(f) = 10*o(f) + 2*r(f). Let z(y) = 0. Calculate y.
0, 1
Let b(q) = 4*q**3 + 17*q**2 + 12*q + 4. Let n(a) = 4*a**3 + 16*a**2 + 12*a + 4. Let p(m) = 4*b(m) - 5*n(m). Find u, given that p(u) = 0.
-1
Let f(z) be the first derivative of z**6/21 - 6*z**5/35 + 3*z**4/14 - 2*z**3/21 + 2. Factor f(l).
2*l**2*(l - 1)**3/7
Suppose 80*m + 38*m**3 + 227*m**3 + 586*m**3 - 600*m**4 + 125*m**5 - 480*m**2 + 69*m**3 = 0. Calculate m.
0, 2/5, 2
Let u be (-5)/10 - (-7)/2. Solve -u*s - 4*s**4 - 5*s - 54*s**2 + 66*s**2 = 0 for s.
-2, 0, 1
Factor -2/9*s**2 - 32/9 - 16/9*s.
-2*(s + 4)**2/9
Let o(i) be the first derivative of i**4/18 + 2*i**3/27 - 2*i**2/9 - 27. Determine b so that o(b) = 0.
-2, 0, 1
Let g = 48 + -43. Let m(q) be the third derivative of 0*q**6 + 2*q**2 + 0*q**3 - 1/672*q**8 + 1/48*q**4 - 1/210*q**7 + 0*q + 1/60*q**g + 0. Factor m(t).
-t*(t - 1)*(t + 1)**3/2
Let h(f) = -f**3 + f**2 + f + 2. Let g be h(0). Factor -7*w**g + 5*w**2 + 4*w - 2*w.
-2*w*(w - 1)
Suppose -15*q + 14*q = 16. Let d be 3 - 4/q*-10. Determine l so that 1/2*l + 1/2*l**5 - l**3 + d*l**4 + 1/2 - l**2 = 0.
-1, 1
Let f = -1543/134 - -1/67. Let v = 73/6 + f. Solve -2/3*z**3 - 2/3 + 2/3*z + v*z**2 = 0.
-1, 1
Let h(r) be the third derivative of -r**5/330 - r**4/66 - r**3/33 - 36*r**2. Solve h(o) = 0 for o.
-1
Let x = 8829/32 + -276. Let n = x - -233/96. Factor -v**2 - n*v - 2/3.
-(v + 2)*(3*v + 1)/3
Let c(o) be the second derivative of o**5/140 - 3*o**4/28 + 4*o**3/7 - 8*o**2/7 - 33*o. Factor c(q).
(q - 4)**2*(q - 1)/7
Let o(s) be the third derivative of 1/42*s**4 + 1/420*s**5 + 2*s**2 + 1/6*s**3 + 0*s + 0 - 1/1260*s**6. Let h(t) be the first derivative of o(t). Factor h(n).
-2*(n - 2)*(n + 1)/7
Suppose -4*x - 19 = -99. Suppose x = 6*o - o. Factor 0 + 0*m - 2/3*m**3 + 0*m**2 + 2/3*m**o.
2*m**3*(m - 1)/3
Let m(b) be the third derivative of 4*b**7/105 + 23*b**6/60 + 7*b**5/5 + 5*b**4/3 - 8*b**3/3 + 9*b**2. Let m(s) = 0. Calculate s.
-2, 1/4
Let i(j) = j**3 - 8*j**2 + j - 1. Let k be i(8). Factor -18*z**3 - 32*z**2 - k*z + 6*z**3 + 3*z - 12*z.
-4*z*(z + 2)*(3*z + 2)
Let t = 35 - 31. Factor -3/2*x**5 + 0*x**t + 0*x**3 + 0 + 0*x**2 + 0*x.
-3*x**5/2
Let q(n) = -5*n**4 - 26*n**3 - n**2 + 14*n. Let b(c) = 5*c**4 + 27*c**3 + 2*c**2 - 13*c. Let p(o) = 6*b(o) + 7*q(o). Factor p(m).
-5*m*(m - 1)*(m + 1)*(m + 4)
Let k(r) be the third derivative of r**8/2240 - r**7/210 + r**6/80 - r**4/12 - 4*r**2. Let c(z) be the second derivative of k(z). Factor c(n).
3*n*(n - 3)*(n - 1)
Let q(b) be the third derivative of b**7/1260 - b**6/180 + b**4/24 + 2*b**2. Let o(a) be the second derivative of q(a). Find y, given that o(y) = 0.
0, 2
Let t(h) = -h - 3. Let o be t(-5). Suppose 10 - o = 4*r. Factor 3*c**3 + 0*c**3 - 2*c**r + 2 - 2*c - c**3.
2*(c - 1)**2*(c + 1)
Let g(m) = -m**2 - 4*m + 2. Let p be g(-4). Find q such that 8*q**4 + 2*q**3 - 8*q**p + 25*q - 23*q - 4*q**3 = 0.
-1, 0, 1/4, 1
Let w(p) be the third derivative of -p**8/168 + p**7/105 + p**6/30 - p**5/15 - p**4/12 + p**3/3 + 7*p**2. Determine n so that w(n) = 0.
-1, 1
Let j(y) = y**3 + y**2 - y - 1. Let c(r) = -r - 1. Let p be c(-3). Let s(i) = -2*i**3 - 3*i**2 + 2*i + 3. Let u(t) = p*s(t) + 5*j(t). Factor u(k).
(k - 1)**2*(k + 1)
Let g(c) be the first derivative of c**9/9072 + c**8/2520 - c**6/540 - c**5/360 - 2*c**3/3 - 1. Let q(w) be the third derivative of g(w). Factor q(a).
a*(a - 1)*(a + 1)**3/3
Let j(w) be the first derivative of -5*w**5 + 5*w**4/2 + 25*w**3 + 10*w**2 - 20*w + 13. Find r, given that j(r) = 0.
-1, 2/5, 2
What is x in -1/8*x + 3/8*x**2 + 0 - 1/4*x**3 = 0?
0, 1/2, 1
Let k(v) be the first derivative of v**3/12 + 7*v**2/8 + 3*v/2 + 18. Factor k(z).
(z + 1)*(z + 6)/4
Suppose -3*h - 4*x - 8 = x, -3*x - 32 = -5*h. Suppose 5*r**2 - h*r + 0 - r**3 + 1 - r**3 = 0. What is r?
1/2, 1
Let t(x) be the second derivative of -3/2*x**2 - 1/4*x**4 + x**3 + 0 - 5*x. Factor t(i).
-3*(i - 1)**2
Suppose -8/7*a + 2/7*a**2 + 8/7 = 0. What is a?
2
Let q(j) = 3*j**3 + 7*j**2 - 7. Let c be -3 + 1 + (1 - -3). Let d(h) = -h**3 - 2*h**2 + 2. Let y(t) = c*q(t) + 7*d(t). Determine w, given that y(w) = 0.
0
Suppose w + 4*w = -30. Let y be (2/(-12))/(w/18). Let -y*f**3 - 1/2 - 3/2*f - 3/2*f**2 = 0. Calculate f.
-1
Let h(z) = 5*z**2 + 11*z + 2. Let l(c) be the third derivative of -c**5/10 - 5*c**4/12 - c**3/3 - 2*c**2. Let p(i) = -2*h(i) - 3*l(i). Factor p(j).
2*(2*j + 1)**2
Let h = -773/5 - -155. Factor 0*f**3 - 2/5*f**4 + 0*f**2 + h*f**5 + 0*f + 0.
2*f**4*(f - 1)/5
Let x = 60 + -286/5. Factor 4/5 + x*t + 6/5*t**3 + 16/5*t**2.
2*(t + 1)**2*(3*t + 2)/5
Let l(x) be the second derivative of -3*x + 0*x**2 + 0 + 1/30*x**6 - 1/20*x**5 + 1/6*x**3 - 1/12*x**4. Factor l(f).
f*(f - 1)**2*(f + 1)
Let g = -1807/7 - -259. Solve 4/7 + g*j + 2/7*j**2 = 0.
-2, -1
Let w(a) = -a. Let n(h) = h**2 + 6*h - 1. Suppose -4*z - 2 - 6 = 0. Let j be z + (-2 - -4 - 1). Let l(v) = j*n(v) - 6*w(v). Factor l(d).
-(d - 1)*(d + 1)
Let j be (-7)/(147/6) - (-2)/7. Let d(o) be the third derivative of o**2 + 0*o - 1/360*o**6 - 1/72*o**4 - 1/90*o**5 + j + 0*o**3. Factor d(i).
-i*(i + 1)**2/3
Let z(x) = x**3 - x**2 + x - 2. Let s be z(2). Suppose 4 = 4*d - s. Factor 0 + 1/2*i - 1/2*i**d.
-i*(i - 1)/2
Let v(d) be the third derivative of -9/224*d**8 + 0*d**4 + 0 + 1/40*d**6 + 1/20*d**7 + d**2 + 0*d**3 + 0*d + 0*d**5. Factor v(r).
-3*r**3*(r - 1)*(9*r + 2)/2
Let s be (0 - 3)*1*-1. Suppose -12 = -s*j + 3. Determine q, given that q**3 + 3*q**3 - 2*q**3 - 2*q**j = 0.
-1, 0, 1
Let w be 1/(-3)*(-12 - -3). Let g be (4/w)/((-1)/(-3)). Factor -2/5*r**3 - 2/5*r**2 + 0 + 2/5*r**g + 2/5*r.
2*r*(r - 1)**2*(r + 1)/5
Let f(n) be the second derivative of -5/18*n**3 - 1/60*n**5 - 2*n + 1/9*n**4 + 0 + 1/3*n**2. Factor f(r).
-(r - 2)*(r - 1)**2/3
Let x(q) be the first derivative of q**6/9 - 8*q**5/15 + 2*q**4/3 - 5. Find h such that x(h) = 0.
0, 2
Let y(c) = 2*c**2 - 2*c + 1. Let b(w) = -w**2 + 2*w - 1. Let s(h) = 2*b(h) + 3*y(h). Let l be s(1). Factor 8 - z**3 - 6*z - 2*z - 6*z**2 + 2*z**4 + 5*z**l.
2*(z - 1)**2*(z + 2)**2
Determine m so that -26*m**4 + 18*m**4 + 63*m + 12*m**3 + 72*m**2 - 31*m = 0.
-2, -1/2, 0, 4
Determine u, given that 0 - u**4 + u**2 - 1/4*u**3 + 1/4*u = 0.
-1, -1/4, 0, 1
Let b(a) be the second derivative of -25*a**4/12 - 35*a**3/6 - 5*a**2 - 22*a. Determine d, given that b(d) = 0.
-1, -2/5
Let 6*x**5 + 36*x**3 - 39/2*x**2 + 0 - 51/2*x**4 + 3*x = 0. Calculate x.
0, 1/4, 1, 2
Find h, given that -6/5*h**2 - 4/5 - 14/5*h = 0.
-2, -1/3
Suppose 12 - 8 - s**2 + 3*s - s**3 + s = 0. Calculate s.
-2, -1, 2
Let w(f) be the first derivative of 3*f**7/7 + 7*f**6/15 - f**5/5 + f - 2. Let n(k) be the first derivative of w(k). Suppose n(z) = 0. What is z?
-1, 0, 2/9
Let s = 5 - 1. Let u be 2/8 + s/(-16). Find w such that -1/5*w**5 - 1/5*w**2 + 1/5*w**4 + u + 1/5*w**3 + 0*w = 0.
-1, 0, 1
Let d(s) be the first derivative of -s**6/9 - 4*s**5/15 + 4*s**3/9 + s**2/3 + 5. Factor d(m).
-2*m*(m - 1)*(m