 u*m**4 - 1/36*m**6 - 1/30*m**5 + 10 - 1/12*m**2 - 1/6*m. What is s in h(s) = 0?
-1, 1
Let s(f) be the second derivative of -f**6/6 + 15*f**5/4 - 135*f**4/4 + 925*f**3/6 - 375*f**2 - 427*f. Suppose s(x) = 0. Calculate x.
2, 3, 5
Let r be 2/(-1)*2/((-8)/6). Suppose k - 2*i = 1, 0*i + 6 = 3*k - 3*i. What is x in 5*x**5 + x**5 - k*x**5 - 3*x**r = 0?
-1, 0, 1
Let n(z) = z**2 - 4. Let x be n(-2). Let b = x + 2. Solve 0 + 0*v - 2/9*v**3 + 2/9*v**5 + 2/9*v**4 - 2/9*v**b = 0.
-1, 0, 1
Let f be (-1 - (-26)/22)/1. Let k be (0 - 10/(-4))/(1955/(-46) - -43). What is q in 0 + f*q**k - 10/11*q**4 - 8/11*q**2 + 0*q + 16/11*q**3 = 0?
0, 1, 2
Let q(o) = 3*o**3 - 3*o**2 - 7*o + 7. Let a be q(2). Factor 2/13*x**a + 0*x**2 + 0*x - 4/13*x**4 + 0 + 2/13*x**3.
2*x**3*(x - 1)**2/13
Let z(i) be the third derivative of i**7/2310 + i**6/132 + 3*i**5/220 - 9*i**4/22 - 18*i**3/11 - 114*i**2. Factor z(n).
(n - 3)*(n + 1)*(n + 6)**2/11
Suppose 0 = 6*v - 3*v - 24. Factor 2*j**5 + 3643 - v*j - 16*j**2 - 6*j**3 - 3643 + 4*j**4.
2*j*(j - 2)*(j + 1)**2*(j + 2)
Factor -2/5*t**3 - 16926/5*t + 366/5*t**2 + 16562/5.
-2*(t - 91)**2*(t - 1)/5
Let s = 681 - 678. Let a(v) be the first derivative of -2*v + 4 - 1/6*v**s - v**2. Determine n so that a(n) = 0.
-2
Let d be 2 - (20/(-2))/5. Let n = 14 - 8. Factor -4*y**3 - 3*y**d - 3*y + 6*y**4 + n - 9*y**2 + 7*y**3.
3*(y - 1)**2*(y + 1)*(y + 2)
Let j(s) be the first derivative of s**7/1260 - s**6/144 + s**5/45 - s**4/36 - 21*s**2/2 - 28. Let b(p) be the second derivative of j(p). Factor b(y).
y*(y - 2)**2*(y - 1)/6
Let y(q) = 3*q**2 + 5*q - 5. Let c(s) = -4*s**2 - 6*s + 6. Let z(n) = 5*c(n) + 6*y(n). Find b such that z(b) = 0.
0
Let y be (-570)/(-475)*2*1/78. Let q(d) be the first derivative of -1 - 1/26*d**4 + 0*d - y*d**5 + 1/13*d**2 + 2/39*d**3. Let q(r) = 0. What is r?
-1, 0, 1
Let w(j) be the second derivative of -5/2*j**3 - 75/4*j**2 + 0 - j - 1/8*j**4. Factor w(a).
-3*(a + 5)**2/2
Let a(d) be the second derivative of -d**4/60 + 19*d**3/10 + d - 106. Factor a(t).
-t*(t - 57)/5
Let b be (1 + -1)*(-1)/1. Let o(c) = -c + 18. Let r be o(b). What is d in 7 + r*d**2 - 4*d**3 - 4 - 12*d - 8*d**3 + 3*d**4 = 0?
1
Let s be (-82)/(-984) + 130/168. Determine b, given that 8/7*b**2 + s*b**3 + 3/7*b + 0*b**4 + 0 - 1/7*b**5 = 0.
-1, 0, 3
Let b(y) be the first derivative of -2*y**5/45 - 2*y**4/9 - 8*y**3/27 + 9. Factor b(o).
-2*o**2*(o + 2)**2/9
Let q(n) be the third derivative of -n**6/840 - n**5/140 + n**4/168 + n**3/14 + 5*n**2 - 2*n. Determine m, given that q(m) = 0.
-3, -1, 1
Let u(d) = -11*d**3 - 43*d**2 - 40*d + 100. Let v(s) = 45*s**3 + 170*s**2 + 160*s - 400. Let j(i) = 25*u(i) + 6*v(i). Factor j(g).
-5*(g - 1)*(g + 2)*(g + 10)
Suppose 3*q = -q + 12. Let u be 280/50 + (-12)/q. Factor 48/5*k**2 + 18*k**3 + 0 + u*k + 10*k**4.
2*k*(k + 1)*(5*k + 2)**2/5
Solve 4/3 - 4/3*j**3 + 2/3*j - 8/3*j**2 + 4/3*j**4 + 2/3*j**5 = 0 for j.
-2, -1, 1
Find j such that 44/3*j - 2/15*j**2 + 448/15 = 0.
-2, 112
Suppose 0 = -4*i + 11 + 29. Determine j so that -j + 8*j**2 - i + 6*j - 10*j**2 + 7*j**2 = 0.
-2, 1
Let z = -29 - -25. Let g be 4*(-2)/(-10)*(-10)/z. Factor 3/2*i + 1 + 1/2*i**g.
(i + 1)*(i + 2)/2
Let c(q) = -q**2 - 8*q + 3. Let j be c(-8). Suppose -p + 70 = r - 2*p, 0 = -r + 5*p + 78. Suppose -r*w**2 + w**5 - w**j + 68*w**2 = 0. Calculate w.
-1, 0, 1
Suppose 0 = 7*l - 18 + 4. Solve 20*o**3 - 21*o**2 + 68*o**3 + 8*o**3 + 189*o**4 + 33*o**l = 0.
-2/7, -2/9, 0
Let s = 18 - 7. Suppose 3*g - 5*g = -d + 8, 4*d - g - s = 0. Factor 15*h**3 - 6 - d*h - 19*h**4 + 6 + 7*h**5 - h**2.
h*(h - 1)**3*(7*h + 2)
Find z, given that 0 + 2/13*z**3 + 2/13*z**2 - 2/13*z - 2/13*z**4 = 0.
-1, 0, 1
Let k(h) be the second derivative of -16*h - 1/2*h**2 - 7/12*h**4 + 3/20*h**5 + 0 + 5/6*h**3. Factor k(t).
(t - 1)**2*(3*t - 1)
Let o(n) = 10*n**3 + 110*n**2 + 720*n + 610. Let p(w) = -11*w**3 - 109*w**2 - 721*w - 611. Let r(z) = 6*o(z) + 5*p(z). Factor r(g).
5*(g + 1)*(g + 11)**2
Let i be 6*(-3 + (-14)/(-4)). Let r(n) be the second derivative of 9*n - 2/27*n**i + 1/135*n**6 + 5/54*n**4 + 0 - 2/45*n**5 + 0*n**2. Factor r(f).
2*f*(f - 2)*(f - 1)**2/9
Let s be 3 - (-1 - -15 - -1). Let u = -10 - s. Find v, given that 2*v**u + 3 - 1 - 3*v + 5*v - 6*v = 0.
1
Let i(g) = -g - 2. Let o(d) = -2*d**2 + d + 7. Let p(t) = -4*i(t) - o(t). Factor p(w).
(w + 1)*(2*w + 1)
Let d = 1114/15 - 358/5. Factor h**4 - 4*h - h**2 + 4/3 + d*h**3.
(h - 1)*(h + 2)**2*(3*h - 1)/3
Suppose 4 = 2*f - 2, 2*f + 124 = 5*g. Let n = -21 + g. Solve n*j**3 - 3*j**3 - j**4 + 0*j**3 + 3*j**4 = 0 for j.
-1, 0
Let z(j) be the second derivative of j**4/12 - j**3/5 + j**2/10 + 11*j + 1. Suppose z(a) = 0. What is a?
1/5, 1
Let n(g) be the second derivative of g**8/168 - g**6/30 + g**4/12 + 4*g**2 - g. Let j(q) be the first derivative of n(q). Solve j(c) = 0.
-1, 0, 1
Let m(s) be the first derivative of 5043*s**5/20 + 9963*s**4/8 + 6397*s**3/4 - 243*s**2/2 + 3*s + 278. Solve m(r) = 0.
-2, 1/41
Let b(g) = -3*g**3 + 10*g**2 - 7*g. Let l(u) = -u**3 + u. Suppose -4*t = -3 - 1. Let d(x) = t*b(x) + 2*l(x). Factor d(s).
-5*s*(s - 1)**2
Suppose 3*q - 36 = -q + 4*j, -4*q - 2*j = -12. Factor 6*x**3 - 8*x**4 - 34*x**3 + 6*x**5 - 16*x**2 - 2*x**q.
4*x**2*(x - 4)*(x + 1)**2
Let f = 2 + 3. What is c in 4*c - 17*c**2 + f*c**2 + 8*c**2 = 0?
0, 1
Find x, given that -45*x - 13 + 114*x**2 + 0*x**3 - x**5 - 8*x**5 + 6*x**3 - 42*x**4 - 14 + 3*x**4 = 0.
-3, -1/3, 1
Let x be ((-7119)/294 - -25) + (-1)/2. Find b, given that 0*b - x*b**2 + 2/7 = 0.
-1, 1
Suppose 2*c + 5*b + 1202 = 1236, -4*c + 4*b = 16. Factor -9/7*o + 8/7 + 1/7*o**c.
(o - 8)*(o - 1)/7
Suppose 162 - 168 = -3*w. Suppose -3*h = 7*l - 2*l, -w*l + 5*h = 0. Factor l - 1/3*j**4 + 4/3*j**3 - 5/3*j**2 + 2/3*j.
-j*(j - 2)*(j - 1)**2/3
Let i(f) = -941*f - 5642. Let b be i(-6). Determine t so that 4/5*t**b + 0*t - 14/5*t**3 + 6/5*t**2 + 0 = 0.
0, 1/2, 3
Let q = -15695/3 - -5233. Solve -b**4 - 11/3*b**3 + 0 - q*b - 4*b**2 = 0.
-2, -1, -2/3, 0
Let x(i) be the first derivative of 2*i**3 - 3*i**3 - 3*i**2 + 3*i + 2*i**3 + 7 + 0*i**3. Factor x(o).
3*(o - 1)**2
Let m(l) be the second derivative of 0*l**4 + 0 - 9*l + 0*l**2 + 1/315*l**6 - 1/70*l**5 + 4/63*l**3. Solve m(i) = 0 for i.
-1, 0, 2
Suppose -22 + 16 = d. Let l(f) = 8*f**2 + 2*f. Let v(r) = -7*r**2 - r. Let s(k) = d*v(k) - 5*l(k). Find n, given that s(n) = 0.
0, 2
Find x, given that 0 + 0*x + 8/7*x**4 - 22/7*x**2 - 86/7*x**3 = 0.
-1/4, 0, 11
Let z be (-1)/(2*1/(-6)). Factor -195*n**2 - 116*n**z - 24*n - 109*n**3 - 31*n - 5.
-5*(3*n + 1)**2*(5*n + 1)
Let i(g) be the second derivative of g**4/3 + 14*g**3/3 - 16*g**2 + 196*g + 3. Factor i(b).
4*(b - 1)*(b + 8)
Let z(q) = -227*q - 1362. Let s be z(-6). Factor 0 + 0*t**2 - 2/5*t**3 + s*t.
-2*t**3/5
Let p = 34 + -31. Suppose 0 = p*u + 5*o - 21, -8 = u - 4*o + 2. Factor 10*g - 4*g - 8*g + 2*g**u.
2*g*(g - 1)
Determine i, given that 240/11*i + 288/11 + 2/11*i**3 - 46/11*i**2 = 0.
-1, 12
Let j(u) = -7*u**2 - 35*u - 8. Let o be j(-7). Let d be o/(-70) - (-1 - (-15)/21). Factor -d*y + 0*y**2 + 3/5*y**3 - 6/5.
3*(y - 2)*(y + 1)**2/5
Factor 12*a**4 + 3*a**2 - a**4 + a**3 - 5*a**4 - 3*a**4 - a - 6*a**2.
a*(a - 1)*(a + 1)*(3*a + 1)
Let v = 239 - 225. Suppose 2*y = -4*c, -4*c + y = c - v. Factor 0 + 3/4*x**4 - 1/2*x**3 + 0*x + 0*x**c.
x**3*(3*x - 2)/4
Let w = -7 - -10. Suppose -16 = -4*h + w*h. Factor h - 7*j**3 - 52*j**2 + 24*j - 23*j**3 + 0*j**3.
-2*(j + 2)*(3*j - 2)*(5*j + 2)
Let c(d) be the second derivative of -d**6/5 + d**5/2 - d**4/6 - d**3/3 + 132*d. Factor c(m).
-2*m*(m - 1)**2*(3*m + 1)
Let y be ((-550)/(-15))/11*(-90)/(-8). Find i, given that 63*i + 6*i**3 + y*i**2 + 27/2 = 0.
-3, -1/4
Let h(k) be the first derivative of -k**4/24 - 13*k**3/18 - 10*k**2/3 - 6*k + 125. Factor h(w).
-(w + 2)**2*(w + 9)/6
Let a(t) be the second derivative of 0 + 16*t + 1/10*t**5 + 1/30*t**6 - 2*t**2 - 4/3*t**3 - 1/4*t**4. Solve a(p) = 0 for p.
-2, -1, 2
Let q(h) be the second derivative of h**6/75 - 9*h**5/50 + h**4/2 - 7*h**3/15 - 27*h + 1. What is x in q(x) = 0?
0, 1, 7
Determine p, given that -58*p + 30*p**2 - 38*p - 32*p**2 - 1087 - 65 = 0.
-24
Let p(i) = i**3 - 2*i**2 + 3*i. Let z(y) = -y**3 + 2*y**2 - 4*y. Let s = -58 + 38. Let t = 14 + s. Let w(u) = t*p(u) - 4*z(u). Find l such that w(l) = 0.
0, 1
Let f = 5/188 - -72