(v + 2)/7
Let c = 3 + 10. Let o be c/10 - (-5)/(-10). What is f in -2/5*f - 2/5*f**2 + o = 0?
-2, 1
Suppose 5*l = -2*z + 48, -5*z + 3*z - 2*l + 42 = 0. Suppose 2*s**2 - z - 12*s - 17 + 54 = 0. What is s?
3
Suppose -8*s + 14*s - 18 = 0. Let -1/4*f**5 + 0 + f**2 + f**4 - 1/4*f - 3/2*f**s = 0. What is f?
0, 1
Let v(g) = 3*g**2 - 2*g - 2. Let o be v(-1). Let x(m) be the second derivative of 0*m**o + 1/60*m**5 - 1/36*m**4 + 0*m**2 + 0 + 4*m. Let x(y) = 0. Calculate y.
0, 1
Let g(m) = 4*m - 28. Let a be g(7). Let t(r) be the third derivative of 0*r**4 + 0*r - r**2 + a - 1/240*r**5 + 0*r**3. Suppose t(q) = 0. Calculate q.
0
Let z(j) = 9*j**4 - 6*j**2 - 9*j + 3. Let c(p) = p**5 + p**3 - p**2 + p - 1. Let v(g) = -3*c(g) - z(g). Let v(y) = 0. Calculate y.
-2, -1, 0, 1
Let u(b) be the third derivative of 1/140*b**6 + 0*b**4 + 0*b**3 + 0*b + 6*b**2 - 1/210*b**5 + 0. Factor u(n).
2*n**2*(3*n - 1)/7
What is s in s**2 + 1 - 1 + 25*s + 1 - 27*s = 0?
1
Let m(t) be the second derivative of t**7/147 + 2*t**6/105 - t**4/21 - t**3/21 + 7*t. Factor m(h).
2*h*(h - 1)*(h + 1)**3/7
Determine k so that -179 + 2*k**2 + 352 - 173 + 8*k = 0.
-4, 0
Find r, given that 10*r + 9*r**2 - 14*r**2 + 10*r**2 = 0.
-2, 0
Let w(q) be the second derivative of -7*q + 0 + 1/90*q**4 + 1/45*q**3 + 0*q**2. Determine t so that w(t) = 0.
-1, 0
Suppose 2*x = -x + 36. Suppose -5*a + 3 + x = 0. Factor f**3 - 3*f**a - f**4 + 3*f**3.
-f**3*(f - 1)
Suppose 0*q + 2*q - 5*w = 15, 1 = w. Determine h, given that h + 19 + h**2 + 8*h**4 - 19 - q*h**3 = 0.
-1/4, 0, 1/2, 1
Suppose -8*b - 4/9*b**2 - 36 = 0. What is b?
-9
Factor -2/5*a + 4/5*a**2 + 2/5*a**3 - 4/5.
2*(a - 1)*(a + 1)*(a + 2)/5
Let z(r) be the first derivative of 1/9*r**2 + 1/6*r**4 + 4 - 2/45*r**5 - 2/9*r**3 + 0*r. Factor z(b).
-2*b*(b - 1)**3/9
Let o(i) be the first derivative of -5*i**4/4 - 25*i**3/3 - 20*i**2 - 20*i + 8. Factor o(r).
-5*(r + 1)*(r + 2)**2
Let r(u) = 2*u - 7. Let v be r(5). Suppose 4*l = -v*d + 32 - 8, d - 10 = -2*l. Factor -f + 11 + 5*f**2 + f**4 - 4*f**l - 11 - f.
f*(f - 2)*(f - 1)**2
Factor 51*s - 2*s**2 - 41*s - 7*s**2 + s**2 - 2.
-2*(s - 1)*(4*s - 1)
Let 2*p**2 - 2/3*p**3 + 0 - 4/3*p = 0. Calculate p.
0, 1, 2
Let a(w) = -w**3 - 5*w**2 - 2*w - 4. Let m be a(-5). Find s such that -4*s**2 - 3*s - 3*s**5 + m*s**3 + 3 + 7*s**4 + 0*s**3 - 2*s**2 - 4*s**4 = 0.
-1, 1
Let n = -76 + 155/2. Let a(h) be the first derivative of 2 - n*h**2 + 1/3*h**3 + 2*h. What is s in a(s) = 0?
1, 2
Suppose 196 = 7*q - 2*q - 4*o, 5*q + 2*o - 172 = 0. Let m be (-12)/q*18/(-8). Factor -1/4*i - i**2 - m*i**3 + 0.
-i*(i + 1)*(3*i + 1)/4
Let p(t) be the second derivative of 3*t**5/20 - t**4/2 - 3*t**3/2 - 7*t. Factor p(l).
3*l*(l - 3)*(l + 1)
Let g(m) be the second derivative of m**5/90 + 2*m**4/9 + 16*m**3/9 + 64*m**2/9 - 8*m. Determine t so that g(t) = 0.
-4
Let v(p) be the second derivative of 0 + 1/4*p**2 + 0*p**3 - 6*p - 1/24*p**4. Factor v(a).
-(a - 1)*(a + 1)/2
What is g in 0 - 1/6*g**2 + 1/3*g = 0?
0, 2
Let w be ((-2)/49)/(3/(-7)). Let b = w - -4/7. Factor 0*r**3 + 2*r**2 - 4/3*r + 0 - b*r**4.
-2*r*(r - 1)**2*(r + 2)/3
Let b be (-1 + 1)/(0 - -3). Let w(i) be the third derivative of -i**2 + 1/60*i**4 + 0 - 1/75*i**5 + 1/300*i**6 + 0*i + b*i**3. Factor w(m).
2*m*(m - 1)**2/5
Let d(m) be the first derivative of -m**6/6 + 4*m**5/5 - 3*m**4/2 + 4*m**3/3 - m**2/2 + 3. Factor d(j).
-j*(j - 1)**4
Suppose 6*p - p = 10. Let g = -2 - -7. Suppose i**2 + 5*i**p + i**2 - g*i**2 = 0. What is i?
0
What is o in -20/3 + 6*o + 2/3*o**2 = 0?
-10, 1
Solve -4*j - 2*j + 2*j**2 - 8 + 0*j = 0 for j.
-1, 4
Suppose 3*i + 2*i = 50. Let x = 12 - i. What is l in -1/3*l**3 - l**x - 1/3 - l = 0?
-1
Let o = 8/15 - -2/15. Factor 4/3*p - o - 2/3*p**2.
-2*(p - 1)**2/3
Let z(r) be the first derivative of -3*r**4/2 - 3*r**3 - 9. Factor z(w).
-3*w**2*(2*w + 3)
Factor -3/2*i**4 + 0 + 0*i + 3/2*i**2 + 0*i**3.
-3*i**2*(i - 1)*(i + 1)/2
Suppose 0 = 4*b - 2 + 42. Let f be 2/4*(0 - b). Determine k, given that 28*k**4 - 82*k**4 + 4*k**2 - 56*k**5 + k**3 + f*k**3 = 0.
-1, -1/4, 0, 2/7
Let b(s) be the second derivative of -s**7/105 - s**6/75 + s**5/10 + s**4/6 - 4*s**3/15 - 4*s**2/5 - 29*s. Find i such that b(i) = 0.
-2, -1, 1, 2
Let o(v) = v**2 + 2. Let r(n) = n**3 - 6*n**2 + 5*n. Let h be r(5). Let u be o(h). Determine l, given that 0*l**5 + 2*l**2 - l + l**5 - 4*l**2 + u*l**4 = 0.
-1, 0, 1
Let t(o) be the first derivative of -o**5/10 - o**4/2 + o**3/3 + 3*o**2 - 9*o/2 + 37. Let t(k) = 0. Calculate k.
-3, 1
Let s(c) be the third derivative of c**11/1330560 - c**9/241920 - c**5/15 + c**2. Let v(y) be the third derivative of s(y). Factor v(x).
x**3*(x - 1)*(x + 1)/4
Let x(t) be the third derivative of t**9/30240 + t**8/10080 - t**7/2520 - t**6/360 + t**5/10 + 5*t**2. Let z(o) be the third derivative of x(o). Factor z(j).
2*(j - 1)*(j + 1)**2
Suppose 3*j + 6 = -3*f, 13*j + 20 = 2*f + 9*j. Solve -1100/3*z**4 - 16/3*z**f + 1694/3*z**5 + 232/3*z**3 + 0 + 0*z = 0.
0, 2/11, 2/7
Let t(j) = -8*j - 2. Let p be t(-1). Factor 7*c**3 - 19*c**3 - 3*c**5 + 12*c**4 + 0 + 15*c - 6*c**2 + 0*c**5 - p.
-3*(c - 2)*(c - 1)**3*(c + 1)
Let f(v) be the second derivative of -1/168*v**7 + 0 - 1/120*v**6 - v + 0*v**2 + 3/80*v**5 - 1/12*v**3 + 1/48*v**4. Let f(x) = 0. Calculate x.
-2, -1, 0, 1
Let v(a) be the second derivative of a**4/24 - a**2 - 14*a. Factor v(q).
(q - 2)*(q + 2)/2
Let o(l) be the first derivative of 2*l**3/63 - 2*l**2/3 + 14*l/3 + 14. Factor o(a).
2*(a - 7)**2/21
Let p be (-56)/(-154)*(-22)/(-36). Determine v, given that 8/9*v**3 - 8/9*v**5 + p*v**2 + 0*v - 2/9*v**4 + 0 = 0.
-1, -1/4, 0, 1
Let s = -327 + 329. Factor 2/3*j**s - 2/3 + 2*j**3 - 2*j.
2*(j - 1)*(j + 1)*(3*j + 1)/3
Let m be 1/3 + 1/(-3). Factor 1/5*i**2 + m + 1/5*i.
i*(i + 1)/5
Factor 2/9*v**4 - 4/9*v**3 + 2/9*v**2 + 0*v + 0.
2*v**2*(v - 1)**2/9
Let p(d) be the first derivative of -9*d**5/5 + 3*d**4/2 + 1. Factor p(a).
-3*a**3*(3*a - 2)
Let v(s) = s**2 + s - 4. Let m be v(-3). Let k = -142 - -1280/9. Suppose -2/9*t - k*t**m + 0 = 0. Calculate t.
-1, 0
Let l(t) = t + 1. Let d(j) = 3*j**2 + 6. Suppose i + 0*z - 5*z - 21 = 0, 2*i + z = -2. Let w(m) = i*d(m) - 6*l(m). Let w(a) = 0. Calculate a.
0, 2
Let b(c) be the second derivative of 0*c**3 + 1/10*c**5 + 0*c**2 - 4*c + 0*c**4 + 1/30*c**6 + 0. Factor b(h).
h**3*(h + 2)
Let b(p) be the third derivative of 5*p**8/1008 + p**7/90 - 13*p**6/360 - 31*p**5/180 - 5*p**4/18 - 2*p**3/9 + 6*p**2. Factor b(t).
(t - 2)*(t + 1)**3*(5*t + 2)/3
Let l(o) be the first derivative of 0*o + 1/12*o**3 + 0*o**2 + 2. Factor l(q).
q**2/4
Let p(s) = -s - 2. Let k be p(-6). Let g(h) be the second derivative of -1/10*h**5 + 1/4*h**2 - 1/3*h**3 + 1/4*h**k + 0 + 1/60*h**6 + h. Factor g(f).
(f - 1)**4/2
Let s(w) = -w + 1. Let d(k) = k**3 - 7*k**2 + 9*k + 15. Let x(t) = -2*d(t) - 2*s(t). Suppose x(z) = 0. What is z?
-1, 4
Suppose -10 = -3*r - 2*r. Factor -2*s**2 - 3 + 6*s**r - 8*s - s**2.
(s - 3)*(3*s + 1)
Let k = -406 + 12181/30. Let a(z) be the second derivative of z - 1/15*z**3 - k*z**4 + 2/5*z**2 + 0. Factor a(o).
-2*(o - 1)*(o + 2)/5
Let p = 1163 + -602. Let w be (p/22)/(10/4). Find z, given that 6/5 - 36/5*z**3 - w*z**2 - 9/5*z = 0.
-1, -2/3, 1/4
Let k(d) be the first derivative of -2*d**5/35 + 3*d**4/7 - 22*d**3/21 + 6*d**2/7 + 19. Solve k(x) = 0.
0, 1, 2, 3
Let x(y) be the third derivative of y**6/120 - 7*y**5/60 + 5*y**4/8 - 3*y**3/2 + 5*y**2. Find f, given that x(f) = 0.
1, 3
Let x(d) = d**2 + 3*d - 4. Let t be x(-3). Let i = t + 6. Factor -2/7*p**3 + 0*p**i - 4/7 + 6/7*p.
-2*(p - 1)**2*(p + 2)/7
Let b(g) = g**4 + 1. Suppose -4*n - 1 = 11. Let z(k) = -5*k**4 - 8*k**3 - 2*k**2 + 3. Let s(v) = n*b(v) + z(v). Suppose s(q) = 0. What is q?
-1/2, 0
Let w(n) be the second derivative of 5*n**4/6 - 4*n**3/3 + 2*n**2 - 2*n. Let f(v) = -v**2 - 1. Let t(g) = 12*f(g) + w(g). Solve t(r) = 0.
-2
Let s(n) be the third derivative of -n**6/660 + n**5/330 + 2*n**4/33 - 4*n**3/11 - 29*n**2. Suppose s(j) = 0. What is j?
-3, 2
Suppose -4*l + a = 147, -42 = l + 4*a + a. Let w = l - -187/5. Suppose 0 + w*u + 2/5*u**2 = 0. Calculate u.
-1, 0
Let o(v) be the second derivative of -v**6/75 + v**5/10 - 3*v**4/10 + 7*v**3/15 - 2*v**2/5 - 2*v. Factor o(x).
-2*(x - 2)*(x - 1)**3/5
Let z be 0/(3/(-3)*2). Let v(r) be the third derivative of 2