uppose -5*u + 7 = -13. What is w in u + 13*w**2 - 15*w**4 - w - 2*w**2 + 16*w**3 - 15*w = 0?
-1, 2/5, 2/3, 1
Let u(z) be the first derivative of z**6/120 + z**5/40 - z**4/4 + z**3/3 - 1. Let y(r) be the third derivative of u(r). Suppose y(p) = 0. What is p?
-2, 1
Let i(p) = -p**3 + 2*p**2 + 22*p + 14. Let u be i(6). Let w(c) be the second derivative of 0 + 2*c - 1/30*c**4 + 0*c**u + 2/15*c**3. Factor w(k).
-2*k*(k - 2)/5
Let g(i) = -i**2. Let y(x) = x**2 - 6*x - 2. Let t(u) = -u**2 - u. Let c(p) = -5*t(p) + y(p). Let f(b) = -c(b) - 5*g(b). Find a such that f(a) = 0.
-1, 2
Let u(l) be the second derivative of l**4/54 + 5*l**3/27 - 24*l. What is o in u(o) = 0?
-5, 0
Let b be -10*(-2)/4 + -1. Let k be (24/(-20))/(b/(-10)). Factor -5*i**2 + 2*i + i**3 + 3*i**2 - 3*i**k + 2.
-2*(i - 1)*(i + 1)**2
Let l be 17/(102/4) - (-10)/12. Let 1 + l*u + 1/2*u**2 = 0. What is u?
-2, -1
Let v(c) be the third derivative of -c**6/600 + c**4/120 - 5*c**2. Factor v(p).
-p*(p - 1)*(p + 1)/5
Let d(w) = 6*w**2 - 59*w + 85. Let h(a) = 3*a**2 - 30*a + 42. Let o(k) = 6*d(k) - 11*h(k). Factor o(z).
3*(z - 4)**2
Let y = -32 + 65/2. Factor 0 + 0*j + 0*j**2 - y*j**4 + 1/2*j**3.
-j**3*(j - 1)/2
Let c(m) = -3*m - 15. Let p be c(-5). Factor q - 3/2*q**4 + 4*q**3 + p - 7/2*q**2.
-q*(q - 1)**2*(3*q - 2)/2
Determine k so that 2/5*k + 2/5*k**2 + 0 = 0.
-1, 0
Suppose -2*q + 0*q + 8 = 0. Determine r, given that r**2 + 1 - q*r**2 + 9*r - 1 = 0.
0, 3
Let x(o) be the first derivative of o**6/180 - o**5/60 - o**4/6 - 2*o**3/3 + 4. Let s(m) be the third derivative of x(m). What is t in s(t) = 0?
-1, 2
Let o be (-3)/(-2) - (-6)/4. Let f = -1 + o. Suppose 6*i**2 + 4 + 3*i + 2*i**3 - 10*i - f*i**4 + 0*i**3 - 3*i = 0. What is i?
-2, 1
Suppose -3*l + 2 = -2*l. Let k(h) be the second derivative of 0 - h + 0*h**l + 1/24*h**3 + 1/48*h**4. Factor k(y).
y*(y + 1)/4
Let y(f) = 6*f**3 - 2*f**2 - 4*f. Let z(q) = q**4 - 12*q**3 + 3*q**2 + 8*q. Let g(l) = 9*y(l) + 4*z(l). Factor g(k).
2*k*(k - 1)*(k + 2)*(2*k + 1)
Suppose -5*g + 3*y = -0*g + 3, 4*g + 5*y = 5. Suppose g = 3*v - 4*v. Factor l**4 - 5*l**4 + 2 + 4*l**3 + 0*l**2 + v*l**4 - 5*l + l**5 + 2*l**2.
(l - 2)*(l - 1)**3*(l + 1)
Let y = 2 - 0. Let 5*v**4 - y*v**2 - 9*v**4 + 0*v**2 + 6*v**4 = 0. What is v?
-1, 0, 1
Let m be (-48)/40*(-10)/4. Let g(l) be the first derivative of -2/5*l**2 - 2/15*l**m - 2/5*l + 2. Factor g(z).
-2*(z + 1)**2/5
Let c(o) = 1 - 4*o - 2 + 2*o. Let i be c(-5). Solve -9 + d**2 + i + d = 0.
-1, 0
Suppose 10*c + 14 = 12*c. Suppose -2*s + 12 = 3*o, -2*s + s + c = 2*o. Solve -2/9*w**4 + 14/9*w**s - 16/9 + 40/9*w - 4*w**2 = 0.
1, 2
Factor -2/7*k**2 - 2/7 - 4/7*k.
-2*(k + 1)**2/7
Let g(n) be the first derivative of -4*n**6/3 - 4*n**5/5 + n**4 - 3. Factor g(d).
-4*d**3*(d + 1)*(2*d - 1)
Let c(d) be the third derivative of d**5/12 - 5*d**4/8 + 5*d**3/3 + 6*d**2. What is q in c(q) = 0?
1, 2
Let y(l) be the second derivative of l**6/150 - l**5/25 + l**4/10 - 2*l**3/15 + 5*l**2/2 - 2*l. Let f(w) be the first derivative of y(w). Factor f(m).
4*(m - 1)**3/5
Let f(z) be the second derivative of z**6/210 + z**5/20 + 3*z**4/14 + 10*z**3/21 + 4*z**2/7 + 10*z. Determine a, given that f(a) = 0.
-2, -1
Suppose t + q + 86 = 4*t, -118 = -4*t + 3*q. Let p = t + -16. Determine z, given that -7*z**3 + 4 - 4*z - p*z**2 - 5/4*z**4 = 0.
-2, 2/5
Let o(y) be the third derivative of -2*y**6/45 - y**5/15 + y**4/18 + y**2. Factor o(w).
-4*w*(w + 1)*(4*w - 1)/3
Let t(j) be the third derivative of -j**6/280 - j**5/140 + j**4/56 + j**3/14 + 13*j**2. Determine b so that t(b) = 0.
-1, 1
Let m(v) = -v**2 - 9*v + 12. Let b be m(-10). Suppose 2*j**2 - 3*j + 12*j**2 + j - 4*j**b - 18*j**3 - 4*j**5 + 14*j**4 = 0. Calculate j.
0, 1/2, 1
Determine g, given that 2/5*g**2 - 4/15 - 2/15*g = 0.
-2/3, 1
Let r be 3*(-3)/((-9)/3). Factor -101*g + 4*g**4 + 6*g**r + 102*g + 6*g**2 + g**5 - 2*g**2.
g*(g + 1)**4
Let h(y) = y + 1. Let q(u) be the third derivative of -2*u**7/105 - u**6/10 - u**5/5 + u**4/4 + 5*u**3/3 + 8*u**2. Let a(w) = 10*h(w) - q(w). Factor a(o).
4*o*(o + 1)**3
Let j(p) be the first derivative of -3*p**5/5 + 3*p**4/4 + 3*p**3 - 15*p**2/2 + 6*p - 22. Find x such that j(x) = 0.
-2, 1
Let d(r) be the first derivative of r**4/14 - 4*r**3/21 + r**2/7 - 18. Factor d(s).
2*s*(s - 1)**2/7
Let s be ((-5)/((-60)/(-69)))/(-5). Let p(y) be the second derivative of s*y**5 + 25/126*y**7 + 7/9*y**6 + 0 - 2*y + 2/9*y**3 + 7/9*y**4 + 0*y**2. Factor p(g).
g*(g + 1)**2*(5*g + 2)**2/3
Let m(s) be the second derivative of s**4/4 + 2*s**3 + 14*s. Let m(f) = 0. Calculate f.
-4, 0
Let b(l) = l**2 + l - 1. Let w(k) = 7*k**2 + 7*k - 9. Let o(m) = 10*b(m) - 2*w(m). Factor o(g).
-4*(g - 1)*(g + 2)
Let p = -647/2 - -330. Let m = p + -25/4. Factor -m*l + 1/4*l**2 - 1/2.
(l - 2)*(l + 1)/4
Let q(y) = y**5 + 7*y**4 - 7*y**3 - y**2 - 3*y. Let o(i) = 8*i**4 - 8*i**3 - 4*i. Let u(p) = 3*o(p) - 4*q(p). Let u(a) = 0. Calculate a.
-1, 0, 1
Solve -6*o**2 + 8 - 12*o**3 + 2*o**4 + 16*o**3 + 5*o - 13*o = 0.
-2, 1
Let x = 12 + -14. Let o be (4/(-48))/(x/6). Factor o*q**2 + 0 - 1/4*q.
q*(q - 1)/4
Let m(d) be the second derivative of -35*d**7/27 - 91*d**6/135 + 253*d**5/90 + 95*d**4/54 - 8*d**3/27 - 4*d**2/9 + 4*d. Solve m(g) = 0.
-1, -2/7, 1/5, 1
Let x(a) be the first derivative of 0*a - 1/2*a**2 + 0*a**3 - 1 + 1/4*a**4. Factor x(q).
q*(q - 1)*(q + 1)
Let i(o) be the first derivative of -1/5*o**2 + 1/15*o**3 + 1/10*o**4 - 1/5*o - 1. Factor i(u).
(u - 1)*(u + 1)*(2*u + 1)/5
Let u(m) = -m**2 - 9*m + 24. Let g be u(-11). Suppose 48/5*i - 12/5 - 21/5*i**g = 0. Calculate i.
2/7, 2
Let h(k) be the second derivative of k**7/105 - k**6/15 + 3*k**5/25 + 2*k**4/15 - 8*k**3/15 - 10*k. Factor h(g).
2*g*(g - 2)**3*(g + 1)/5
Let w be -1 - 2*28/(-48). What is v in w*v**2 + 1/2*v**3 + 0 - 1/3*v = 0?
-1, 0, 2/3
Let h(g) be the first derivative of -2/9*g**3 - 2/3*g**2 - 2 - 2/3*g. Let h(v) = 0. Calculate v.
-1
Let w(y) = -y**2 - 3. Let i(t) = 6*t**2 + 15. Let n(h) = -4*i(h) - 21*w(h). Factor n(s).
-3*(s - 1)*(s + 1)
Let o be (1 + 1)*(2 + -4 + 3). Factor 0 + 1/4*c**o + 0*c.
c**2/4
Let p(z) = -5*z**5 - 4*z**4 + 2*z**2 - 5*z. Let f(v) = 11*v**5 + 8*v**4 - 5*v**2 - v + 12*v + v**3 + 0*v**2. Let m(y) = 6*f(y) + 13*p(y). Solve m(s) = 0.
0, 1
Let g(a) be the first derivative of a**7/168 - 17*a**6/1440 - a**5/96 + a**4/48 + a**3/3 - 1. Let j(w) be the third derivative of g(w). What is i in j(i) = 0?
-2/5, 1/4, 1
Let c be (-4)/(-6) - (-1)/(-6). Let v be (2/5)/(16/20). Let 0 + v*z - c*z**2 = 0. Calculate z.
0, 1
Let s(l) be the second derivative of 1/4*l**4 + 0*l**3 - 6*l**2 - 7*l + 0. Factor s(p).
3*(p - 2)*(p + 2)
Let p(u) be the third derivative of -u**5/90 + u**2. Determine d, given that p(d) = 0.
0
Let i = 35 - 35. Let d(n) be the third derivative of 1/420*n**6 + i*n**3 + n**2 + 1/84*n**4 + 0 + 0*n - 1/105*n**5. Factor d(u).
2*u*(u - 1)**2/7
Let z(t) be the third derivative of t**6/30 + t**5/5 - 2*t**2. Factor z(s).
4*s**2*(s + 3)
Let z(i) be the first derivative of i**9/1512 + i**8/280 + i**7/140 + i**6/180 - i**3/3 - 3. Let r(d) be the third derivative of z(d). Factor r(h).
2*h**2*(h + 1)**3
Suppose 6 = 2*h - 10. Let r(j) = j**2 - 9*j + 11. Let a be r(h). Factor c**2 + 1 - c**2 + 6*c**2 + 4*c + 4*c**a + 0 + c**4.
(c + 1)**4
Let x(h) be the second derivative of -h**6/30 + 3*h**5/20 - 2*h**3/3 - 4*h. Factor x(y).
-y*(y - 2)**2*(y + 1)
Let p(d) = 4*d + 2. Let g be p(0). Let j = 0 + g. Find f such that 3*f**5 - 27/4*f**3 - 3/2*f**j - 9/4*f**4 + 0*f + 0 = 0.
-1, -1/4, 0, 2
Suppose s + 2*s = 6. Suppose s*d = -5*f + d + 15, -2*d = f - 12. Factor -2/5*u + 1/5 + 1/5*u**f.
(u - 1)**2/5
Let b = -3925/2 + 219811/112. Let d = b + 3/16. Find n such that 0 + 0*n**2 - d*n + 2/7*n**3 = 0.
-1, 0, 1
Let k(l) = l**2 - 6*l + 3. Let g be k(2). Let y be g*(-6)/(-10)*-1. Factor -4*t**3 + t**3 + 2*t**y + t**5.
t**3*(t - 1)*(t + 1)
Let a(r) be the third derivative of -r**6/40 - 3*r**5/20 + 2*r**3 - 6*r**2. Factor a(g).
-3*(g - 1)*(g + 2)**2
Let y be (-5 + 52/8)*2. Factor 2/7*h**5 + 0*h + 6/7*h**y + 0 + 2/7*h**2 + 6/7*h**4.
2*h**2*(h + 1)**3/7
Suppose 152*v - 154*v = -4. Factor 2/3 + 2/3*q**v - 4/3*q.
2*(q - 1)**2/3
Let t(m) = -2*m + 20. Let n be t(10). Determine s, given that 2/3*s**2 - 2/3*s**3 + n*s + 0 = 0.
0, 1
Suppose 3*s = s + 2. Let l(u) be the