-1 + 2. Let n be 2 + (4 + (2 - 5) - 7). Let s(z) = z**2. Let u(w) = n*s(w) + x*o(w). What is g in u(g) = 0?
-1, 1
Let p(j) = 3*j**3 + 4*j**2 + 2*j + 2. Let w(f) = 4*f**3 + 4*f**2 + f + 3. Suppose -3*a - 9 = -0. Let z(g) = a*p(g) + 2*w(g). Determine m, given that z(m) = 0.
-2, 0
Let p(m) be the third derivative of m**8/168 - m**7/210 - m**6/15 + m**5/15 - 9*m**2. Factor p(k).
k**2*(k - 2)*(k + 2)*(2*k - 1)
Let c(x) be the third derivative of -x**6/2160 - x**5/360 - x**4/144 + 5*x**3/6 - 5*x**2. Let t(n) be the first derivative of c(n). Factor t(g).
-(g + 1)**2/6
Let h(y) = y**2 + y. Let g(r) = 4*r**2 + 3*r + 3. Let i(u) = -4*g(u) + 20*h(u). Suppose i(l) = 0. Calculate l.
-3, 1
Suppose f + 9 = 2*i, 3*i - 7*f + 12*f = 7. Let k(s) be the second derivative of -4/9*s**3 - 5/36*s**i - 4*s + 0 + 2/3*s**2. Factor k(y).
-(y + 2)*(5*y - 2)/3
Factor -16/5 - 36/5*z**2 + 48/5*z.
-4*(3*z - 2)**2/5
What is u in 12/5*u**3 - 3/5*u**5 - 9/5*u + 0 + 6/5*u**4 - 6/5*u**2 = 0?
-1, 0, 1, 3
Let u(o) = 7*o**2 - 7*o - 6. Let t be (0/1)/((-1)/(-1)). Let n(a) = -13*a + t - 6 + 13*a**2 - 5. Let k(x) = -6*n(x) + 11*u(x). Factor k(z).
-z*(z - 1)
What is s in -1/4*s**4 + 0 - 3/4*s**2 + 0*s - s**3 = 0?
-3, -1, 0
Suppose -33*j**4 + 3*j**2 + 32*j**4 + 2*j**2 - 4 = 0. Calculate j.
-2, -1, 1, 2
Let d(z) be the first derivative of -z**7/840 + z**6/96 - 3*z**5/80 + 7*z**4/96 - z**3/12 - 2*z**2 - 2. Let o(b) be the second derivative of d(b). Factor o(n).
-(n - 2)*(n - 1)**3/4
Suppose 1/3*p**2 - 1/3*p**4 - 2/3*p + 0 + 2/3*p**3 = 0. What is p?
-1, 0, 1, 2
Let b(t) = 5*t**2 + 3*t + 4. Let j(y) = -6*y**2 - 3*y - 5. Let l(f) = -7*b(f) - 6*j(f). Determine p so that l(p) = 0.
1, 2
Suppose x - 2*x = 10. Let y = x - -10. Factor y*i + 1/3*i**2 + 0.
i**2/3
Let p be (-14)/(-21) - 7/(-3). Let -5*q**3 - 3*q**4 - q**p + 8*q**3 - 5*q**5 = 0. Calculate q.
-1, 0, 2/5
Let y(u) be the third derivative of u**8/13440 - u**6/1440 + u**4/8 - 4*u**2. Let q(t) be the second derivative of y(t). Let q(j) = 0. Calculate j.
-1, 0, 1
Let r(m) = -2*m + 18. Let b be r(8). Factor 3/4*k - 1/2 - 1/4*k**b.
-(k - 2)*(k - 1)/4
Let m be (2 + 0)/1 + 2. Suppose 0 = 5*c + 2*u - 2, -5*c + m*u - 4 = -2*c. Factor -1/5*j**2 + 0 + c*j.
-j**2/5
Let x(z) = z**2 + 6*z - 1. Let k(t) = -t**2 - 5*t + 1. Let g = -8 + 13. Suppose 6 = 2*c - 6. Let o(u) = c*k(u) + g*x(u). Let o(b) = 0. Calculate b.
-1, 1
Let h = 13605 + -95073/7. Let t(x) = x + 8. Let f be t(-6). Determine j, given that 8/7 + h*j**f + 72/7*j = 0.
-2/9
Let j(t) = 4*t**2 - 72*t + 100. Let a(p) = -p**2 + 24*p - 33. Let k(f) = -8*a(f) - 3*j(f). Solve k(c) = 0.
3
Let d(u) = u**2 + 7*u - 26. Let o be d(-10). Solve 3/4*w**2 + 1/2*w - 3/4*w**5 - 7/4*w**o + 0 - 3/4*w**3 = 0.
-1, 0, 2/3
Let u = -84 + 57. Let p(w) = 21*w**2 - 27. Let k(a) = -3*a**2 + 4. Let q(m) = u*k(m) - 4*p(m). Factor q(h).
-3*h**2
Let m = -48 - -241/5. Find w such that -2/5*w**2 - 1/5*w**3 - m*w + 0 = 0.
-1, 0
Let u(o) be the first derivative of -o**2 + 8/5*o**5 - 4*o**3 + 4*o - o**6 - 2 + 2*o**4. Suppose u(v) = 0. Calculate v.
-1, -2/3, 1
Let t(i) be the first derivative of -5*i**3/3 - 10*i**2 - 15*i + 61. Let t(y) = 0. What is y?
-3, -1
Let a(h) = 5*h**3 + 23*h**2 + 6*h. Let d = 96 + -62. Let b(r) = -2*r - r**3 - 3*r + 4*r - 4*r**2. Let v(l) = d*b(l) + 6*a(l). Suppose v(y) = 0. Calculate y.
-1/2, 0, 1
Let w be ((-1)/(-15))/((-11)/(-55)). Factor 1/3*f**3 + 0*f + w*f**2 + 0.
f**2*(f + 1)/3
Let c(o) = -o**2. Let x(n) = 5*n**5 - 98*n**4 + 710*n**3 - 2204*n**2 + 2125*n + 1250. Let m(q) = -4*c(q) + x(q). Solve m(i) = 0.
-2/5, 5
Let l = -556 - -1645/3. Let y = 8 + l. Factor -g**2 - y*g + 4/3*g**3 + 0.
g*(g - 1)*(4*g + 1)/3
Let l(n) = n**2 - 3*n - 6. Let s be l(5). Suppose 2 = -d + s. Factor -2*r**3 + 0*r**3 - 4*r**d + 2*r**2.
-2*r**2*(r + 1)
Solve 4*v + 3*v + 0*v + 4*v**2 + v = 0 for v.
-2, 0
Let n(c) be the second derivative of 0 - c - 3/20*c**5 - 2*c**3 - 2*c**2 - 11/12*c**4. Determine u so that n(u) = 0.
-2, -1, -2/3
Let z(i) be the first derivative of -i**6/3 + i**4/2 - 10. Factor z(q).
-2*q**3*(q - 1)*(q + 1)
Let g(u) be the first derivative of u**5/10 + u**4/4 - u**3/2 - u**2 + 2*u + 8. Determine h so that g(h) = 0.
-2, 1
Suppose -5*m + 18 - 3 = 0. Let q(o) be the third derivative of 1/6*o**m + 1/8*o**4 + 0*o + 1/20*o**5 + 0 - 2*o**2 + 1/120*o**6. Factor q(p).
(p + 1)**3
Suppose 0*v - 9 = 3*v. Let s = 5 + v. Let 3*k**2 - 3*k**2 - k**s = 0. What is k?
0
Factor -2/3*h**2 - 2/3*h + 4.
-2*(h - 2)*(h + 3)/3
Suppose 3*a = -2*b + 16, -a - 6*b = -b - 14. Let 5*j**a + 2*j - 2*j + 2*j**2 - 2*j**3 - 5*j**3 = 0. What is j?
0, 2/5, 1
Let o be 18/(-12)*4/(-70). Let n(d) be the second derivative of 37/42*d**4 + o*d**6 - d - 3/7*d**5 + 4/7*d**2 - 20/21*d**3 + 0. Suppose n(r) = 0. Calculate r.
2/3, 1
Let l(x) be the first derivative of 4 + 1/3*x**2 + 0*x - 2/9*x**3. Factor l(z).
-2*z*(z - 1)/3
Let x(u) be the first derivative of 18/5*u**5 - 16/3*u**3 - 4/3*u**6 + 6*u**2 - u**4 - 2*u + 2. Suppose x(s) = 0. What is s?
-1, 1/4, 1
Suppose 3*k - 7 = -1. Suppose k*i - 28 + 8 = 0. Factor 1600/7*p**3 + i*p - 4/7 + 1536/7*p**5 - 480/7*p**2 - 2560/7*p**4.
2*(3*p - 2)*(4*p - 1)**4/7
Let r(a) = -2*a**3 - 4*a**2 + 2*a - 4. Suppose -2*l + l - 4 = 0. Let f(c) = -c + c**3 + 3*c**2 - 3*c + 3*c + 3. Let k(z) = l*f(z) - 3*r(z). Factor k(y).
2*y*(y - 1)*(y + 1)
Let o = -1 - -3. Suppose g - o*g + 2 = 0. Determine r, given that -3/2*r**g + 0 - 1/2*r + 2*r**3 = 0.
-1/4, 0, 1
Let c(p) be the second derivative of 3*p + 1/4*p**4 + 0 - 5/6*p**3 + p**2. Solve c(l) = 0 for l.
2/3, 1
Let 15*r + 21*r - 33*r - 6 + 3*r**2 = 0. What is r?
-2, 1
Suppose 0*x = 3*x - 4*x. Factor 0*h + x*h**3 + 2/7*h**4 - 4/7*h**2 + 2/7.
2*(h - 1)**2*(h + 1)**2/7
Let b(t) be the third derivative of t**6/1620 + t**5/270 + t**4/108 - t**3/6 - t**2. Let l(d) be the first derivative of b(d). Factor l(z).
2*(z + 1)**2/9
Let d(f) be the first derivative of 1/15*f**3 - 4 - 1/20*f**4 + 1/10*f**2 - 1/5*f. Factor d(v).
-(v - 1)**2*(v + 1)/5
Let -3*l**5 - 6*l**2 + 0*l**5 - 17*l**3 + 26*l**3 = 0. What is l?
-2, 0, 1
Let y = -8 + 10. Factor 2*p**4 - 1/2 - 3/2*p**y - 2*p + 2*p**3.
(p - 1)*(p + 1)*(2*p + 1)**2/2
Let u = -283/21 + 43/3. Let u*q**2 + 8/7*q + 2/7 = 0. What is q?
-1, -1/3
Let h(z) be the first derivative of -z**5/10 - 3*z**4/8 - z**3/3 + 29. What is d in h(d) = 0?
-2, -1, 0
Let r(s) be the second derivative of -s**10/120960 + s**9/30240 - s**8/26880 + s**4/4 - s. Let w(b) be the third derivative of r(b). Factor w(p).
-p**3*(p - 1)**2/4
Let z be (1 - (-3 + 5)) + 3. Find a, given that -3*a**2 - 4 + 3 + 6*a - z = 0.
1
Let r(g) be the second derivative of -g**4/3 - 10*g**3/3 - 8*g**2 + 11*g. Factor r(o).
-4*(o + 1)*(o + 4)
Let r(c) be the third derivative of c**7/1470 + c**6/70 + 23*c**5/210 + 5*c**4/14 + 25*c**3/42 + 24*c**2. Find b such that r(b) = 0.
-5, -1
Let k = -4/11 - -42/55. Factor 4/5*w - 2/5 - k*w**2.
-2*(w - 1)**2/5
Let v be 0/2 - (1 + -3). Let w be (-2)/2*(-2 + v). Factor c - 4*c**2 + w*c**2 - 3*c.
-2*c*(2*c + 1)
Let o(v) be the second derivative of 1/12*v**4 - 1/30*v**6 + 1/42*v**7 + 0 - v + 0*v**3 - 1/20*v**5 + 0*v**2. Find q such that o(q) = 0.
-1, 0, 1
Let i = 76 + -76. Suppose 21/2*m**4 + 0*m - m**2 - 1/2*m**3 + i = 0. What is m?
-2/7, 0, 1/3
Let v(u) be the third derivative of 0*u + 1/90*u**5 - 1/180*u**6 + 0*u**3 + 1/945*u**7 - 3*u**2 - 1/108*u**4 + 0. Factor v(i).
2*i*(i - 1)**3/9
Let x = -127 - -517/4. Solve -5/4*k**2 + x*k**3 - 1/2*k + 0 - 7/4*k**5 + 5/4*k**4 = 0 for k.
-1, -2/7, 0, 1
Let o(w) be the second derivative of -w**4/6 + 4*w**2 + 12*w. Factor o(d).
-2*(d - 2)*(d + 2)
Factor 2/3*l**2 + 0*l + 0.
2*l**2/3
Let y(o) be the second derivative of o**7/56 - 2*o**6/15 + 2*o**5/5 - 5*o**4/8 + 13*o**3/24 - o**2/4 - 9*o. Determine g, given that y(g) = 0.
1/3, 1, 2
Find r, given that 0 - 2/5*r**2 - 2/5*r = 0.
-1, 0
Let w = 3 + -1. Let -3*j**w + j**3 + 7*j**2 - 3*j**2 = 0. What is j?
-1, 0
Let o(l) be the first derivative of -5*l**6/18 + l**5/3 + 5*l**4/6 - 17. Determine k, given that o(k) = 0.
-1, 0, 2
Let w(x) be the third derivative of x**6/1020 - x**5/255 + x**4/204 + 3*x**2. Let w(b) = 0. Calculate b.
0, 1
Let p = 578 + -815. Let r = -943/4 - p. Suppose -l**4 - 5/4*l + r*l**3 + 3/4*l**2 + 1/4 = 0. What is l?
-1, 1/4, 1
Let v(i) be the first derivative of -i + 1/