s**k + 4/5*s**2 + 0.
-2*s**2*(s - 2)/5
Suppose 2*v - 4 = -0*v. Suppose -s = v*s - 6. Let -4*k - 5*k - 1 - 20*k**s + 4 + 8*k**2 = 0. What is k?
-1, 1/4
Let m(s) be the second derivative of 7*s + 3 - 11/168*s**7 - 1/12*s**4 + 0*s**3 + 3/10*s**5 - 3/40*s**6 + 0*s**2. Determine l, given that m(l) = 0.
-2, 0, 2/11, 1
Let t be (-6)/10 - (65/(-25) + 0). Solve 3*h + h**t + 16 + 3*h**2 + 17*h = 0.
-4, -1
Let k(b) be the first derivative of b**3/9 - 2*b**2 + 6. Factor k(x).
x*(x - 12)/3
Let w(t) be the first derivative of -14/27*t**3 + 0*t - 1/2*t**4 + 25 - 2/9*t**2 - 2/9*t**5 - 1/27*t**6. What is l in w(l) = 0?
-2, -1, 0
Factor f**3 + 45*f**2 - 100*f**2 - 28 + 107*f - 25.
(f - 53)*(f - 1)**2
Let b(v) be the first derivative of v**4/32 + 3*v**3/16 - 3*v**2/4 + 16*v + 10. Let s(h) be the first derivative of b(h). Factor s(n).
3*(n - 1)*(n + 4)/8
Let o(z) be the first derivative of 3*z**4/8 - 3*z**3/2 + 6*z + 70. Determine m so that o(m) = 0.
-1, 2
Let r(w) be the third derivative of w**7/2100 + 11*w**6/1200 + 11*w**5/200 + w**4/48 - 5*w**3/6 - 7*w**2 + 6. Factor r(b).
(b - 1)*(b + 2)*(b + 5)**2/10
Let u = -751 - -753. Let v(y) be the first derivative of -2/51*y**3 - 4 - 3/17*y**u + 0*y. Solve v(n) = 0.
-3, 0
Let d(v) be the second derivative of -v**6/150 - v**5/50 + v**4/4 + 6*v**3/5 - 586*v. Suppose d(r) = 0. What is r?
-3, 0, 4
Let u = 10 - 5. Let p(d) = d**3 - 3*d**2 - 6*d - 3. Let b be p(u). Factor b*i - 5*i - 8 - 5*i**2 + i**2.
-4*(i - 2)*(i - 1)
Let w(g) be the third derivative of -g**7/1260 - 3*g**4/8 + g**2. Let b(a) be the second derivative of w(a). What is x in b(x) = 0?
0
Let c(v) be the second derivative of -v**6/135 - 11*v**5/90 + 25*v**4/54 - 13*v**3/27 + 86*v. Solve c(p) = 0 for p.
-13, 0, 1
Let s = -16 - -21. Suppose -4*x = -l - 52, s*x + 2*l - 14 = 64. Factor 0*z**2 + 15*z - x*z - z**3 + 0*z**2.
-z*(z - 1)*(z + 1)
Let m = -33 + 35. Factor 4*h**2 + 10*h**2 + 9*h - 11*h**m + 6*h.
3*h*(h + 5)
Let m(t) be the second derivative of -t**6/135 + t**5/15 + 5*t**4/18 + 8*t**3/27 - 18*t + 19. Factor m(q).
-2*q*(q - 8)*(q + 1)**2/9
Let u(h) = h**5 - 3*h**4 - 14*h**3 + 3*h**2 + h - 3. Let n(l) = -l**5 + 2*l**4 + 12*l**3 - 4*l**2 - 3*l + 4. Let g(t) = -3*n(t) - 2*u(t). Solve g(q) = 0 for q.
-3, -1, 1, 2
Suppose 4*k + 1 = 3*i, 614*i - 611*i = -4*k + 17. Let -4*l + 24 + 1/6*l**k = 0. Calculate l.
12
Determine q, given that -19/4*q**3 + 17/2*q + 9/2 - 71/8*q**2 + 5/8*q**4 = 0.
-2, -2/5, 1, 9
Determine t so that -27/5*t**2 + 0 + 13/5*t**4 + 2/5*t + 12/5*t**3 = 0.
-2, 0, 1/13, 1
Suppose 15 = -g - 3*p, -3*g - 3*p - 20 = p. Let f be (-24)/(-90)*(-69)/(-92). Suppose -1/5*u**4 + g + f*u**3 + 1/5*u**2 - 1/5*u = 0. Calculate u.
-1, 0, 1
Factor 10*f**5 + 6*f**4 - 4*f**3 + 306 - 306.
2*f**3*(f + 1)*(5*f - 2)
Solve -2*f**3 - 60*f**2 - 308*f - 384 - 400 - 196*f = 0.
-14, -2
Let l(d) be the first derivative of 4*d**6/27 + 92*d**5/45 - 5*d**4/3 - 140*d**3/27 + 26*d**2/9 + 16*d/3 - 346. Find n such that l(n) = 0.
-12, -1, -1/2, 1
Factor -3*i**3 + 451*i + 7*i**3 - 177*i - 130*i + 44*i**2 + 144.
4*(i + 2)*(i + 3)*(i + 6)
Let w(z) be the third derivative of z**7/1260 - z**6/720 - 184*z**2 - 1. Solve w(q) = 0.
0, 1
Let m = -137/3 - -46. Let u(n) = n**3 - n**2 - 2. Let o be u(2). Factor -1/3*k**o + m + 0*k.
-(k - 1)*(k + 1)/3
Let y = 3203/12876 + 4/3219. Let 0 + 1/4*w**2 + 1/4*w**3 - 1/4*w - y*w**4 = 0. What is w?
-1, 0, 1
Suppose 0 = -6437*a + 6443*a - 12. Factor 1/6*i + 0 - 2/3*i**a.
-i*(4*i - 1)/6
Let t(z) be the first derivative of z**4/4 - 4*z**3/3 + 2*z**2 - 68. Factor t(o).
o*(o - 2)**2
Let m(j) = 2*j**3 - 9*j**2 - 10*j + 27. Let u be m(5). Factor 1/2 - 2/3*q + 1/6*q**u.
(q - 3)*(q - 1)/6
Let m(r) = 6*r - 2*r**3 - 2*r**2 - 3*r - 2*r + 4*r**2. Let z be m(-1). Find v, given that 9*v**3 - 2*v**4 - 12*v**3 + 3*v + z*v**2 - v**4 = 0.
-1, 0, 1
Let m(r) be the third derivative of r**9/40320 - r**5/5 + 6*r**2. Let v(b) be the third derivative of m(b). Factor v(l).
3*l**3/2
Let -28/3*a**4 - 34/3*a + 28/9 + 56/9*a**2 + 92/9*a**3 + 10/9*a**5 = 0. Calculate a.
-1, 2/5, 1, 7
Solve 0*s + 0 - 25/2*s**2 - 5*s**4 + 55/2*s**3 = 0 for s.
0, 1/2, 5
Let b(j) = j**4 - j**3 + j**2 - j. Let m(n) = 2*n**4 - 5*n**3 - 5*n**2 + 3*n + 5. Let y(a) = -5*b(a) + 5*m(a). Let y(s) = 0. What is s?
-1, 1, 5
Suppose -84 = -6*w + 2*w. Factor -12*x**3 - 22 + 9*x - w*x**2 + 28 + 15*x**4 + 3*x**3.
3*(x - 1)**2*(x + 1)*(5*x + 2)
Let b = -32 + 34. Factor j + 0*j**b + j**2 + j**3 + j**2.
j*(j + 1)**2
Let t(z) be the third derivative of -5*z**6/144 + z**5/24 - z**4/48 + 17*z**3/3 - 22*z**2. Let h(b) be the first derivative of t(b). Solve h(j) = 0 for j.
1/5
Solve -7/3*h**5 + 0 + 1/3*h**2 + 2/3*h - 5*h**3 + 19/3*h**4 = 0.
-2/7, 0, 1
Let b(u) = 2 - 6 + 6*u**2 - 3*u**2. Let c = -131 + 109. Let y(t) = 16*t**2 - 20. Let o(a) = c*b(a) + 4*y(a). Solve o(k) = 0 for k.
-2, 2
Let y = -1/9836 - -3689/4918. Find t, given that -y*t + 3/4*t**3 + 3/2*t**2 - 3/2 = 0.
-2, -1, 1
Factor 2/5*v**2 + 136/5*v + 2312/5.
2*(v + 34)**2/5
Suppose -4*f + 5 = w - 0, 0 = 4*f. What is g in 141*g**w - 136*g**5 + 6*g**3 + 15*g**4 + 4*g**3 = 0?
-2, -1, 0
Suppose 5*a = -5*h + 177 - 47, a = 4*h + 36. Let p be a/30 - 0 - 30/(-75). Factor p + 3*v**2 + 4*v.
(3*v + 2)**2/3
Let z(h) = 268*h - 1337. Let m be z(5). Let y = -4 - -6. Factor 14/5*j**4 + 0 + 6/5*j**y - 24/5*j**m + 4/5*j.
2*j*(j - 1)**2*(7*j + 2)/5
Let l be (6/(-15))/(1/(-15)) + -2. Find n such that 0*n**5 - 8*n**2 + 9*n**l - n**2 + 3*n**5 + 196*n**3 - 199*n**3 = 0.
-3, -1, 0, 1
Factor -25791 + 25815 + 0*r**2 - 3*r**2 - 6*r.
-3*(r - 2)*(r + 4)
Let v(i) be the third derivative of -1/60*i**6 - 34*i**2 + 0*i - 5/3*i**3 - 11/12*i**4 + 0 - 7/30*i**5. What is g in v(g) = 0?
-5, -1
Let s(c) be the first derivative of c**6/24 - c**5/20 - 3*c**4/16 + c**3/12 + c**2/4 - 7. Factor s(u).
u*(u - 2)*(u - 1)*(u + 1)**2/4
Let q(y) = -y**2 - 4 - 85*y + 46*y + 50*y. Let a be (1 - 3) + 1 + 7. Let i(f) = -f. Let n(k) = a*i(k) + q(k). Factor n(v).
-(v - 4)*(v - 1)
Let p be 30/(-135)*(-8)/4*1. Let a(m) = m**3 - 5*m**2 + 6*m - 6. Let c be a(4). Determine k, given that -2/9 - 2/9*k**c - p*k = 0.
-1
Suppose -7*n - 2*z + 34 = 0, 5*n - 5*z + 4*z = 17. Factor -f**2 + 1/5*f**n + 1/5*f**3 + 0 + 3/5*f.
f*(f - 1)**2*(f + 3)/5
Let c(l) be the third derivative of -3/40*l**4 + 1/50*l**5 + 20*l**2 + 0*l + 2/15*l**3 - 1/600*l**6 + 0. Factor c(v).
-(v - 4)*(v - 1)**2/5
What is z in -3/2*z**5 - 6*z**2 + 5/2*z + 7/5 - z**3 + 23/5*z**4 = 0?
-1, -1/3, 1, 7/5, 2
Let m(d) = d**3 - d**2 - d + 1. Let u(z) = -z**3 - 54*z**2 - 129*z + 4. Suppose 0 = -2*t - 5*h - 8, -3*t - 5*h + 0 = 12. Let v(j) = t*m(j) + u(j). Factor v(l).
-5*l*(l + 5)**2
Let w = -24 - -28. Factor 108 - 270*d - 58*d**3 + 19*d**4 + 0*d**w - 3*d**4 + 198*d**2 - 10*d**4.
2*(d - 3)**3*(3*d - 2)
Let c be 848/14 + (8/(-7))/2. Let q = 64 - c. Factor -4/7 + 2*h - 2/7*h**q + 10/7*h**3 - 18/7*h**2.
-2*(h - 2)*(h - 1)**3/7
Let p(w) = -4*w**2 + 11*w. Let c = 17 - 25. Let t = 16 + c. Let v(k) = 12*k**2 - 32*k. Let f(h) = t*p(h) + 3*v(h). Factor f(j).
4*j*(j - 2)
Let j(x) be the first derivative of 7*x**5/12 - 55*x**4/24 + 10*x**3/3 + 15*x**2 + 15. Let l(q) be the second derivative of j(q). Let l(g) = 0. What is g?
4/7, 1
Let k(b) = -2*b**2 + 5*b + 15. Let r be k(4). Let g(u) be the second derivative of 0*u**r + 3/20*u**5 + 0*u**4 + 0*u**2 + 4*u - 1/20*u**6 + 0. Factor g(p).
-3*p**3*(p - 2)/2
Let l(y) = -y**2 - 2*y. Let s(f) = -2*f**3 + 6*f + 12. Let r(p) = 8*l(p) - s(p). Factor r(c).
2*(c - 6)*(c + 1)**2
Let w(k) = -k**4 + 2*k**3 + k**2 + 3. Let t(x) = 15*x**4 - 72*x**3 + 177*x**2 + 48*x - 228. Let d(y) = t(y) + 12*w(y). Let d(i) = 0. Calculate i.
-1, 1, 8
Suppose 15 = 12*o + 3. Let d be 1/(7/14*(o - 0)). Determine q so that 2*q**d + 2*q + 1/2 = 0.
-1/2
Let h(o) = -2*o**2 - 30*o + 500. Let u be h(10). Solve 0*n + 2/9*n**2 - 2/9*n**3 + u = 0 for n.
0, 1
Let m(n) = -2*n**2 + 75*n - 513. Let h be m(9). Let a(r) be the first derivative of 10 + 0*r - 2/3*r**6 - 8/5*r**5 - r**4 + h*r**2 + 0*r**3. Factor a(o).
-4*o**3*(o + 1)**2
Let y(f) = 15*f**2 + 72*f + 33. Let z(q) = q**2 + q + 2. Let h(u) = y(u) - 6*z(u). Factor h(b).
3*(b + 7)*(3*b + 1)
Let v(d) be the first derivative of d**3/12 + 11*d**2/8 + 9*d/2 + 75. Factor v(z).
(z + 2)*(z + 9)/4
Suppose 7*p = 14*p + 46*p. Let -1/6*m**3 - 1/