2/2
Let v(m) be the third derivative of m**8/10080 - m**7/2520 + m**5/30 - 5*m**2. Let c(d) be the third derivative of v(d). Let c(n) = 0. What is n?
0, 1
Let c(q) be the second derivative of -q**9/3024 + q**8/1680 + q**3/6 + 2*q. Let l(y) be the second derivative of c(y). Solve l(k) = 0 for k.
0, 1
Suppose 2*y**3 - 7*y**2 - 11*y - y - 3*y**4 + 4 + 16*y**2 = 0. What is y?
-2, 2/3, 1
Let g be (10/(-15))/((-10)/45). Suppose -6/5*q**2 + 0 + 3/5*q + 3/5*q**g = 0. Calculate q.
0, 1
Suppose 4*c + 6 = 5*w + 7, -c - 11 = -5*w. Determine k so that 0*k**3 + 0*k + 0*k**c + 0 + 2/7*k**5 + 0*k**2 = 0.
0
Let w = 7/10 + 1/2. What is l in -2/5*l**5 - 6/5*l**3 + 0*l - w*l**4 - 2/5*l**2 + 0 = 0?
-1, 0
Let v(n) be the second derivative of 11*n**5/20 - n**4/6 - n**3/3 + n**2 + 4*n. Let u(l) = 5*l**3 - l**2 - l + 1. Let c(m) = -9*u(m) + 4*v(m). Factor c(y).
-(y - 1)**2*(y + 1)
Let i(w) = w**4 + w**3 + w**2 + 3*w + 3. Let c = -11 - -8. Let n(m) = 2*m**4 + 3*m**3 + 3*m**2 + 5*m + 5. Let q(v) = c*n(v) + 5*i(v). Solve q(y) = 0 for y.
-2, 0
Find q, given that 16*q**2 - 77/2*q**3 + 0 + 49/2*q**4 - 2*q = 0.
0, 2/7, 1
Let j(o) be the third derivative of -o**6/120 - o**5/12 + 5*o**4/24 - o**3 + 3*o**2. Let v be j(-6). Factor 0*q + 1/3*q**4 + v + 1/3*q**2 - 2/3*q**3.
q**2*(q - 1)**2/3
Let r = -10 - -5. Let o = -1 - r. Let 3*k + 2 - k**3 + o - 4 = 0. Calculate k.
-1, 2
Factor 8/11 - 16/11*q - 2/11*q**3 + 10/11*q**2.
-2*(q - 2)**2*(q - 1)/11
Factor -8*d**3 - 10 - 38*d - 2 + 180*d**2 - 142*d**2.
-2*(d - 3)*(d - 2)*(4*d + 1)
Let f(q) = -24*q - 42. Let y be f(-2). Factor -4/3 - 14/3*m**2 - y*m.
-2*(m + 1)*(7*m + 2)/3
Determine j, given that 1/4*j**5 + j**4 - j + 0 + 3/4*j**3 - j**2 = 0.
-2, -1, 0, 1
Suppose 18*h = 14*h + 4. Let b be -1*h*6/(-4). Factor b*r**3 + 1/4 + 3/2*r + 11/4*r**2.
(r + 1)*(2*r + 1)*(3*r + 1)/4
Suppose -4*t = 23 + 1. Let q be 1 - 0 - (t - -3). Let -4/9*f**2 + 2/9*f**q + 4/9*f**3 - 2/9*f**5 - 2/9*f + 2/9 = 0. What is f?
-1, 1
Let b(n) = n + 1. Let p be b(5). Solve -17*t**4 + 3*t**4 + 8*t - 2*t - p*t**2 - 24*t**3 - 2*t = 0.
-1, 0, 2/7
Let w = -284 + 286. Find q such that -3/7*q**w + 3/7*q + 6/7 = 0.
-1, 2
Let o(d) be the second derivative of -d**9/9072 - d**8/1680 - d**7/1260 + d**3/6 + 2*d. Let g(n) be the second derivative of o(n). Factor g(f).
-f**3*(f + 1)*(f + 2)/3
Let 4*u**4 + 4*u**2 - 16*u**3 + 4*u**5 - 17*u - 20*u**2 + 17*u = 0. What is u?
-2, -1, 0, 2
Suppose -4/7*t + 4/7*t**3 + 2/7 - 2/7*t**2 = 0. Calculate t.
-1, 1/2, 1
Let n(h) be the second derivative of -h**7/3780 + h**6/540 - h**5/180 + h**4/12 + 4*h. Let b(w) be the third derivative of n(w). Suppose b(l) = 0. Calculate l.
1
Let x(d) be the third derivative of 87*d**7/70 - 11*d**6/4 + 23*d**5/15 + d**4/3 + 23*d**2. Factor x(r).
r*(3*r - 2)**2*(29*r + 2)
Let d be (-39)/(-12) + 1/(-4). Let x be 0 + 2 + -2 + d. Determine y, given that -1 + x - y**2 - y + 0 = 0.
-2, 1
Let f(m) = m - 11. Let b be f(15). Find w, given that 0 - 26/7*w**3 - 22/7*w**2 - 8/7*w**b - 4/7*w = 0.
-2, -1, -1/4, 0
Let r(q) be the second derivative of 1/30*q**4 - 1/15*q**3 + 0 - 8*q + 0*q**2. Factor r(y).
2*y*(y - 1)/5
Let f be -1 + 3 + 3 + -3. Factor -4*o**4 + f*o**5 - 4*o**5 + 4*o**5 + 2*o**3.
2*o**3*(o - 1)**2
Let a(x) = -x - 4. Let r be a(-7). Factor 7*z**4 + 18*z**2 - 15*z**3 - z**4 + 12*z - r*z**4 - 24.
3*(z - 2)**3*(z + 1)
Let i(c) be the second derivative of -c**7/42 + c**6/30 + c**5/10 - 42*c. Suppose i(g) = 0. Calculate g.
-1, 0, 2
Let v(h) = h**5 - h**3 - h**2 + 1. Suppose 6 = 3*g + 15. Let w(o) = 3*o**5 - 11*o**4 - 17*o**3 + 4*o**2 + 5. Let n(b) = g*w(b) + 15*v(b). Factor n(i).
3*i**2*(i + 3)**2*(2*i - 1)
Let m(b) be the third derivative of 1/6*b**4 + 0 - b**2 + 2/3*b**3 + 1/60*b**5 + 0*b. Let m(x) = 0. What is x?
-2
Let h(m) be the third derivative of m**8/336 - m**7/70 + m**6/40 - m**5/60 - 5*m**2. Let h(z) = 0. What is z?
0, 1
Let c(n) = 2 + 9*n - 2 + n**2. Let m be c(-9). Factor 0*y - 2/3*y**4 + m - 2/3*y**2 - 4/3*y**3.
-2*y**2*(y + 1)**2/3
Let v = 710 - 710. Factor -2/9*h**4 + 0*h**3 + 0*h - 2/9*h**5 + v + 0*h**2.
-2*h**4*(h + 1)/9
Determine o, given that 1/2*o**2 - 1/2*o - 1 = 0.
-1, 2
Let v(o) be the third derivative of o**7/42 - o**6/6 + 5*o**5/12 - 5*o**4/12 - 9*o**2. What is b in v(b) = 0?
0, 1, 2
Let i(b) be the first derivative of -1/6*b**4 + 2/9*b**3 + 0*b - 14/45*b**5 + 2/9*b**2 + 4 - 1/9*b**6. Factor i(y).
-2*y*(y + 1)**3*(3*y - 2)/9
Let v = 11/12 + -1/4. Determine a, given that -v*a - 1 + 1/3*a**2 = 0.
-1, 3
Suppose 9*o + 64 + 16*o + 4*o**2 + 7*o + 0*o**2 = 0. Calculate o.
-4
Factor 0 + 2/5*p**2 + 6/5*p.
2*p*(p + 3)/5
Let a be (-16)/88 + 76/55. Let l(i) be the second derivative of -1/2*i**2 - 4/3*i**3 + 0 - 11/6*i**4 - a*i**5 - 3/10*i**6 - i. Factor l(z).
-(z + 1)**2*(3*z + 1)**2
Let m be (6 - 9)*(-20)/3. Let u = -13/2 + m. Find q, given that -u*q**3 - 24*q + 63/2*q**2 + 6 = 0.
2/3, 1
Let k be (-2)/(-8) - 2/(-24). Let j(n) be the first derivative of -2/3*n - 2/15*n**5 + 1/3*n**4 + 1 + 4/9*n**3 - 1/9*n**6 - k*n**2. What is z in j(z) = 0?
-1, 1
Let x = -162 + 164. Find f such that -1/2*f + 0 + 1/2*f**3 + 1/2*f**4 - 1/2*f**x = 0.
-1, 0, 1
Factor -12*r - 6*r**2 + 9*r**3 + 8*r**3 - 8 - 18*r**3.
-(r + 2)**3
Let m(a) be the third derivative of -a**8/2856 - 2*a**7/1785 + a**5/255 + a**4/204 - 5*a**2. Factor m(z).
-2*z*(z - 1)*(z + 1)**3/17
Let s(o) be the third derivative of -o**6/30 + 8*o**5/15 - 7*o**4/2 + 12*o**3 - 46*o**2. Factor s(x).
-4*(x - 3)**2*(x - 2)
Let x(p) = -p**3 + 8*p**2 - 10*p. Let a be x(2). Determine u so that -1/2*u**a - 1/2 - 1/2*u + u**2 - 1/2*u**5 + u**3 = 0.
-1, 1
Let s(l) be the third derivative of -9*l**6/40 + 7*l**5/20 + l**4/4 - 16*l**2. Factor s(u).
-3*u*(u - 1)*(9*u + 2)
Let a(g) be the first derivative of -g**5/40 + g**3/24 + 10. Factor a(x).
-x**2*(x - 1)*(x + 1)/8
Let j(u) be the third derivative of u**8/112 - 3*u**7/70 + u**6/20 - 15*u**2. Factor j(v).
3*v**3*(v - 2)*(v - 1)
Let i(d) be the second derivative of d**6/420 + 3*d**5/70 + 9*d**4/28 + 9*d**3/7 - 2*d**2 - 4*d. Let p(v) be the first derivative of i(v). Factor p(u).
2*(u + 3)**3/7
Factor 8/9*z**2 - 8/9 + 10/3*z.
2*(z + 4)*(4*z - 1)/9
Let h(a) = 5*a**4 + 8*a**3 + a**2 - 7*a - 3. Let q(u) = -u**4 - u**2 - u - 1. Let m(w) = h(w) + q(w). Let m(o) = 0. Calculate o.
-1, 1
Suppose -2*h + 1 = -h. Let c(m) = 2*m**3 + 8*m**2 + 12*m + 2. Let g(q) = -q + 1. Let z(y) = h*c(y) + 2*g(y). Determine s, given that z(s) = 0.
-2, -1
Let y = 23 + -23. Let p = 4/5 - 2/5. Determine w, given that y*w + 0*w**2 + p*w**5 + 0 - 4/5*w**4 + 2/5*w**3 = 0.
0, 1
Let m(k) be the third derivative of k**7/1260 + k**6/180 + k**4/24 - k**2. Let v(g) be the second derivative of m(g). Let v(q) = 0. Calculate q.
-2, 0
Let f(k) be the first derivative of k**5/10 - 5*k**4/6 + k**3 + 9*k**2 - 7*k - 2. Let x(h) be the first derivative of f(h). Factor x(t).
2*(t - 3)**2*(t + 1)
Let b(j) = j**3 - 3*j**5 - 3*j**4 + 3*j + 0 + 3 - 6 + 2*j**3. Let k(w) = -w**2 + w - 1. Let i(h) = -b(h) + 3*k(h). Let i(x) = 0. Calculate x.
-1, 0, 1
Let -2*j**3 + 9*j**2 - 9*j**2 + 2*j**2 = 0. Calculate j.
0, 1
Let a be (68/153)/(4/(-6)*-1). Let w = -2 - -4. What is q in a*q + 1/3 + 1/3*q**w = 0?
-1
Suppose -2*y**4 + 329*y - 2*y**3 - 329*y = 0. What is y?
-1, 0
Let r be ((-10 + 9)*4/2)/(-1). Let d(i) be the first derivative of 0*i - 3 - 1/15*i**3 + 1/10*i**r. Find q such that d(q) = 0.
0, 1
Let u(x) be the second derivative of -2*x**7/63 + 2*x**5/5 - 8*x**4/9 + 2*x**3/3 - 17*x. Factor u(w).
-4*w*(w - 1)**3*(w + 3)/3
Let n(w) = w**3 - 7*w**2 + 2*w - 10. Let a be n(7). Factor -a*o**2 - o**2 + 4*o**2 + 3*o**2.
2*o**2
Let q(d) be the second derivative of 0*d**2 + 4*d + 0 + 1/30*d**5 - 7/36*d**4 + 7/90*d**6 - 1/9*d**3. Factor q(j).
j*(j - 1)*(j + 1)*(7*j + 2)/3
Let v(a) be the third derivative of -a**5/20 - a**4/2 - 3*a**3/2 + 9*a**2. Factor v(f).
-3*(f + 1)*(f + 3)
Let j = 19/39 - 2/13. Let v(c) be the second derivative of 0*c**2 + 0 - c - j*c**3 - 2/3*c**4. What is m in v(m) = 0?
-1/4, 0
Let q(n) be the second derivative of -n**6/1440 - n**5/240 - n**4/96 + 2*n**3/3 - 3*n. Let y(k) be the second derivative of q(k). Solve y(a) = 0 for a.
-1
Let y be 1 + (1/2)/(-1). Factor 3/2*z - y*z**2 - 1.
-(z - 2)*(z - 1)/2
Let u(k) = -9*k**4 - 11*k**3 - 9*k**2 + 7*k. Let w(y) = -y**4 - y**3 - y**2 +