. Find w such that 1 + 1/2*w - 14*w**b - 10*w**2 = 0.
-1/2, 2/7
Let a(x) be the second derivative of x**5/160 + x**4/48 + x**3/48 + 6*x. Suppose a(c) = 0. Calculate c.
-1, 0
Suppose -l - l + 2 = 0. Let s = -18 - -20. Let s*y**2 + y**3 - y - 3 + 0*y + l = 0. What is y?
-2, -1, 1
Let g(i) = i - 2*i**2 + 0*i - 3*i**2 + 7 - i**3. Let t be g(-5). Factor t*j**2 + 2 - 3*j**2 + 0*j**2 - j.
-(j - 1)*(j + 2)
Factor 0*n**4 + 3*n**4 - n**4 + 4*n - 6*n**2.
2*n*(n - 1)**2*(n + 2)
Let z be 160/(-24)*(1 + 2). Let l be 15/z*(-1 + -3). Factor -w - 9*w**2 + 6*w**2 + w**3 + l*w.
w*(w - 2)*(w - 1)
Let m(v) be the third derivative of v**6/660 - v**5/165 - v**4/132 + 2*v**3/33 - 2*v**2. What is z in m(z) = 0?
-1, 1, 2
Suppose 0 = v - 3*f + 1, 2 = 4*v - 5*f - 1. Let w = 149/393 - 6/131. What is r in -1/3 + 1/3*r + w*r**v - 1/3*r**3 = 0?
-1, 1
Let f = 62 + -182/3. Factor 0 - f*a + 2*a**2 + 0*a**3 - 2/3*a**4.
-2*a*(a - 1)**2*(a + 2)/3
Let n(p) be the first derivative of -p**4/36 - p**3/18 - p - 1. Let a(k) be the first derivative of n(k). Suppose a(z) = 0. Calculate z.
-1, 0
Suppose 10 + 45*w**3 - 24*w**3 + 5*w - 26*w**3 - 10*w**2 = 0. What is w?
-2, -1, 1
Solve 0 + 1/2*d**2 + 0*d**4 + 0*d - 3/4*d**3 + 1/4*d**5 = 0 for d.
-2, 0, 1
Let i(u) be the third derivative of u**7/7 - 9*u**6/40 - 3*u**5/20 + u**4/4 + 24*u**2. Let i(z) = 0. What is z?
-1/2, 0, 2/5, 1
Let c(p) be the third derivative of p**6/200 + p**5/50 + p**4/40 + 34*p**2. Factor c(z).
3*z*(z + 1)**2/5
Let v(w) be the first derivative of 7*w**6/160 - w**5/5 + 11*w**4/32 - w**3/4 + 2*w**2 + 1. Let y(q) be the second derivative of v(q). Factor y(l).
3*(l - 1)**2*(7*l - 2)/4
Let i(r) be the second derivative of 0*r**3 + 0*r**2 + 0*r**5 + 0 - 1/84*r**7 - 1/20*r**6 + 8*r + 0*r**4. Let i(n) = 0. What is n?
-3, 0
Let j(l) = 4*l - 10. Suppose -3*r - 15 = -8*r. Let b be j(r). Factor 2/7*w**b + 0*w - 2/7*w**5 + 6/7*w**4 - 6/7*w**3 + 0.
-2*w**2*(w - 1)**3/7
Let t(k) = k**3 - 7*k**2 - k + 4. Let b be t(7). Let w be 2/b*(-9)/2. Solve w*v**2 + v**4 + v - 3*v**3 - v - v = 0.
0, 1
Suppose j + 3 = -3*l + 27, 8 = l - 5*j. Factor 2*w**4 + 4*w - 3*w**4 + 2 - 6*w**2 + l*w**4 + w**4 - 8*w**3.
2*(w - 1)**2*(2*w + 1)**2
Suppose 0 = -3*d - 3, -3*n + d = -0*d + 35. Let i = n - -19. Suppose 6*l**3 + 3*l**4 - i*l**3 - l**5 - 5*l**4 = 0. What is l?
-1, 0
Let a(y) be the second derivative of -y**5/30 + y**4/18 + y**3/9 - y**2/3 + 17*y. Factor a(j).
-2*(j - 1)**2*(j + 1)/3
What is l in 3*l - 384*l**4 + 84*l**2 + 7*l**5 - 151*l**5 - 148*l**3 - 11*l = 0?
-2, -1, 0, 1/6
Let s(p) be the second derivative of p**5/14 + p**4/6 - 8*p**3/21 - 4*p**2/7 + 19*p. Let s(l) = 0. Calculate l.
-2, -2/5, 1
Let i = 109 + -109. Suppose i - 4/3*u**2 + 2/3*u**3 + 2/3*u = 0. Calculate u.
0, 1
Let w = 6 + -17. Let q = 1 + 5. Let l(u) = -15*u**3 - 15*u**2 + 10*u - 10. Let h(y) = -29*y**3 - 29*y**2 + 21*y - 19. Let g(k) = q*h(k) + w*l(k). Factor g(b).
-(b + 2)*(3*b - 2)*(3*b - 1)
Let f(l) be the second derivative of -l**6/1980 + l**5/110 - 3*l**4/44 - l**3/2 - 2*l. Let k(t) be the second derivative of f(t). Solve k(g) = 0.
3
Let w(g) = g**2 + 3*g + 4. Let a be w(-3). Suppose -2*d + 28 = -0*d - a*q, 2*d = -4*q - 12. Determine o so that 3*o**2 - 2*o + 3*o**3 - o**d + 3*o + 2*o**4 = 0.
-1, 0
Let n(f) = 22*f**4 + f**3 - 8*f**2 - f. Let l be 65/9 - (-2)/(-9). Let g(q) = -7*q**4 + 3*q**2. Let t(r) = l*g(r) + 2*n(r). Find p, given that t(p) = 0.
-1, 0, 2/5, 1
Let x(t) = t**2 - 5*t + 3. Let m be x(6). Let f be (3/(-18))/(m/(-24)). Find j such that f - 4/9*j**2 - 2/9*j + 2/9*j**3 = 0.
-1, 1, 2
Let b(u) be the third derivative of 0*u**4 + 1/525*u**7 + 0*u**3 + 0*u**6 + 0*u - 1/150*u**5 + 0 + 5*u**2. Factor b(c).
2*c**2*(c - 1)*(c + 1)/5
Suppose -8 = -3*k + 10. Find u such that -2*u + k*u**2 + 6*u + 3*u**3 - u**3 = 0.
-2, -1, 0
Let i(x) be the third derivative of x**6/540 + 2*x**5/135 + 5*x**4/108 + 2*x**3/27 - 6*x**2. Factor i(g).
2*(g + 1)**2*(g + 2)/9
Let n(f) = -103*f**4 + 48*f**3 + 9*f**2 + 9. Let r(w) = -26*w**4 + 12*w**3 + 2*w**2 + 2. Let x(c) = -2*n(c) + 9*r(c). Solve x(j) = 0.
0, 3/7
Let r(d) = -6*d + 1. Let q be r(-1). Let i be 4/q*(-35)/(-50). Factor -2/5*x**3 + 0*x + i*x**2 + 0.
-2*x**2*(x - 1)/5
Let v(c) be the third derivative of -1/112*c**8 - 7/120*c**6 + 0*c + 0*c**4 - 4/105*c**7 + 0 + 0*c**3 - 3*c**2 - 1/30*c**5. Let v(z) = 0. Calculate z.
-1, -2/3, 0
Let f(i) be the third derivative of i**6/30 - 4*i**5/15 + i**4/6 + 4*i**3 - 11*i**2. Find p, given that f(p) = 0.
-1, 2, 3
Suppose 3 = a + 1. Find t such that 18*t**a + 1/2 + 6*t = 0.
-1/6
Let y(g) = 3*g**3 + 3*g - 2. Let u(j) be the third derivative of -j**5/60 + j**4/24 - j**2. Let p(q) = -4*u(q) + y(q). Solve p(k) = 0 for k.
-1, 2/3
Let v(t) be the third derivative of -t**7/140 + 11*t**6/320 - 9*t**5/160 + t**4/64 + t**3/16 + 8*t**2. Let v(q) = 0. What is q?
-1/4, 1
Let v(w) = w + 19. Let u be v(-10). Let i be ((-2)/u)/(6/(-18)). Factor -1/3*o**2 - 1/3 + i*o.
-(o - 1)**2/3
Let i(y) be the second derivative of -y**9/4536 + y**8/840 - y**6/135 - y**3/3 - y. Let v(j) be the second derivative of i(j). Find o such that v(o) = 0.
-1, 0, 2
Let b be (-1)/3 + (-40)/(-12). Factor s**3 + 5*s**4 - 7*s**4 - 4*s**2 + 5*s**b.
-2*s**2*(s - 2)*(s - 1)
Factor 4*b + 5*b**2 + 0*b**2 - 7*b**2.
-2*b*(b - 2)
Factor -y**2 - 1/2 + 3/2*y.
-(y - 1)*(2*y - 1)/2
Let p(j) be the first derivative of -2*j**5/5 + 4*j**3/3 - 2*j - 6. Let p(n) = 0. What is n?
-1, 1
Let p(s) be the first derivative of -s**3/2 - 19. Suppose p(q) = 0. What is q?
0
Let f(t) = -12*t**2 + 28*t + 8. Let p(a) = -11*a**2 + 30*a + 8. Let x(v) = 3*f(v) - 2*p(v). Factor x(c).
-2*(c - 2)*(7*c + 2)
Let n(g) be the second derivative of -g**9/26460 - g**8/7840 + g**6/2520 - g**4/6 - g. Let c(a) be the third derivative of n(a). Find d, given that c(d) = 0.
-1, 0, 1/2
Let v(g) be the first derivative of -g**4/28 + 2*g**3/21 + 1. Factor v(l).
-l**2*(l - 2)/7
Let d(s) be the third derivative of s**3 + 3*s**2 + 0 + 0*s - 7/20*s**5 + 5/8*s**4. Suppose d(v) = 0. What is v?
-2/7, 1
Let m(k) be the third derivative of 8*k**2 + 0*k**5 + 1/240*k**6 + 0*k + 0*k**3 + 0*k**7 + 0 - 1/1344*k**8 - 1/96*k**4. Suppose m(c) = 0. What is c?
-1, 0, 1
Let i = -5878/3 + 1929. Let b = i - -31. Find k, given that 7/3*k**3 + k + 4*k**2 - b = 0.
-1, 2/7
Let r(d) = 4*d**3 - 4*d**2 - 8*d. Let n(y) = y**3 - y**2 - y. Let m(q) = 8*n(q) - r(q). Determine i, given that m(i) = 0.
0, 1
Suppose 0 = r - z - 3, z - 6 = -4*r + 1. Suppose r*p - 3*p = 0, 0 = -2*u - 5*p. Factor -1/4*w**2 + 0*w + 1/4*w**4 + 0 + u*w**3.
w**2*(w - 1)*(w + 1)/4
Determine c so that 28*c - 5*c + 5*c**2 - 4*c + 11*c = 0.
-6, 0
Let m be 16/(-24)*-3*1. Find q, given that -q**2 + 2*q**3 + 6*q + q**2 - 6*q**m - 2 = 0.
1
Let m = -13351/9 + 1485. What is y in -14/9*y**2 - 4/9*y**3 + 0 + 4/9*y + m*y**4 = 0?
-1, 0, 2/7, 1
Factor 334*v - 167*v - 5*v**3 + 15*v**2 - 167*v.
-5*v**2*(v - 3)
Let j be 3/6*2 - -1. Factor -24*n**j - 8*n**2 - 9 - 9 - 46*n - 2*n.
-2*(4*n + 3)**2
Let t(c) be the first derivative of -c**7/3780 - c**6/1620 + c**5/540 + c**4/108 + c**3 + 2. Let o(g) be the third derivative of t(g). Factor o(h).
-2*(h - 1)*(h + 1)**2/9
Let v = -4/43 - -313/129. Factor -2/3 - t**2 + v*t.
-(t - 2)*(3*t - 1)/3
Let r(u) be the first derivative of 154/3*u**3 - 49/2*u**4 + 8*u + 1 - 32*u**2. Factor r(z).
-2*(z - 1)*(7*z - 2)**2
Suppose 2*x - 3*q + 4 = 0, 0*x - q - 6 = 3*x. Let s be 2/(-3 - x) + 2. Find i, given that -8/9*i - 74/9*i**3 + 14/3*i**4 + s - 8/9*i**5 + 16/3*i**2 = 0.
0, 1/4, 1, 2
Let b(d) be the second derivative of -1/189*d**7 + 0*d**2 - 1/27*d**4 - 3*d + 2/135*d**6 + 0*d**5 + 1/27*d**3 + 0. Determine z, given that b(z) = 0.
-1, 0, 1
Factor 4*g**2 - 13*g - 22*g - 18*g + 484 - 35*g.
4*(g - 11)**2
Let o(a) = 27*a**4 + 14*a**3 + 8*a**2 - 8. Let n(i) = 9*i**4 + 5*i**3 + 3*i**2 - 3. Let u(j) = 8*n(j) - 3*o(j). Find d such that u(d) = 0.
-2/9, 0
Let g be 12/(-45)*(-3)/2*4. Let -24/5*d - 6/5*d**3 + g + 22/5*d**2 = 0. What is d?
2/3, 1, 2
Let m(y) = y**3 + 6*y**2 - y - 6. Let w be m(-6). Find s, given that 2*s**3 - 3*s**3 + w*s**3 = 0.
0
Let c(m) be the second derivative of -m**4/6 - 3*m**2 - m. Let g(q) = -q + 1. Let w(z) = c(z) + 4*g(z). Suppose w(n) = 0. What is n?
-1
Factor 25*u**5 - 95*u**4 + 12*u + 114*u**3 - 52*u**2 - 4*u + 1 - 1.
u*(u - 2)