0*p**6 + p**4 + 0. What is i in u(i) = 0?
2
Let l(p) be the second derivative of 0 + 1/10*p**5 - 1/6*p**4 - 5*p + 0*p**2 - 2/3*p**3. Let l(u) = 0. What is u?
-1, 0, 2
Let q(x) be the second derivative of x**7/28 + x**6/10 + 3*x**5/40 - 10*x. Find d, given that q(d) = 0.
-1, 0
Let l(y) = 3*y**2 + 3*y + 6. Let z(m) = 5*m**2 + 5*m + 11. Let v(d) = -11*l(d) + 6*z(d). Factor v(s).
-3*s*(s + 1)
Let g = 13 + -10. Let z(p) = 3*p**2 + 4*p. Let k(h) = -h**3 + h - 1. Let c(f) = g*z(f) - 3*k(f). Factor c(t).
3*(t + 1)**3
Let i(d) = d**3 + 5*d**2 + 2*d + 4. Let y be i(-4). Suppose 0 = 3*q - u - 2*u - y, 5*u = -q - 8. Suppose 0*w - 1/2*w**3 - 1/2*w**4 + 0*w**q + 0 = 0. What is w?
-1, 0
Factor -40/13*f**2 + 72/13*f + 6/13*f**3 - 32/13.
2*(f - 4)*(f - 2)*(3*f - 2)/13
Suppose 72*q - 61*q - 22 = 0. Suppose 2*d - 2 = -3*w - 0, 0 = 5*w - 3*d + 3. Factor -2/3*b**q + 2/3*b**5 + 0 + w*b + 2/3*b**4 - 2/3*b**3.
2*b**2*(b - 1)*(b + 1)**2/3
Let r(z) be the second derivative of 3*z**7/56 + 2*z**6/5 + 23*z**5/40 - z**4/4 - 5*z**3/8 + z**2/2 + 4*z. Find i such that r(i) = 0.
-4, -1, 1/3
Let n(d) be the first derivative of 0*d + 1/6*d**3 + 1/2*d**2 + 1/60*d**5 - 1/12*d**4 + 1. Let c(h) be the second derivative of n(h). Solve c(m) = 0 for m.
1
Let s be 2/(-6) - -13*2/42. Factor -s*b + 0*b**2 + 0 + 2/7*b**3.
2*b*(b - 1)*(b + 1)/7
Let h(b) be the third derivative of 0*b**4 + 1/1260*b**7 + b**2 + 1/360*b**5 + 0*b + 1/360*b**6 + 0*b**3 + 0. Suppose h(o) = 0. What is o?
-1, 0
Suppose -2*l + 12*l**4 - l**5 - 15*l**5 - 12 + 60*l**3 + 6*l**5 + 56*l**2 - 8*l**4 = 0. Calculate l.
-1, 2/5, 3
Factor -10/7*f**2 - 4/7*f + 0 - 2/7*f**4 - 8/7*f**3.
-2*f*(f + 1)**2*(f + 2)/7
Let -14*o**3 + 12*o**4 - 3 + 8*o - 8*o**4 + 6*o**3 - 1 = 0. What is o?
-1, 1
Let c(x) be the third derivative of 0*x + 1/240*x**5 + 3*x**2 + 0*x**3 - 1/96*x**4 + 0. What is t in c(t) = 0?
0, 1
Let w(n) be the first derivative of 49*n**6/10 - 672*n**5/25 + 234*n**4/5 - 128*n**3/5 + 24*n**2/5 + 4. Factor w(j).
3*j*(j - 2)**2*(7*j - 2)**2/5
Let i be 1*0/(-2 - -5). Let m(x) be the third derivative of 0*x**3 + 2*x**2 - 1/120*x**6 + 1/24*x**4 + 0*x**5 + 0 + i*x. Factor m(p).
-p*(p - 1)*(p + 1)
Let r = 305/1252 + 2/313. Factor -1/4*l + r*l**2 - 1/2.
(l - 2)*(l + 1)/4
Factor 5/3*x**3 - 5/3*x**2 + 5/3*x**4 + 0*x - 5/3*x**5 + 0.
-5*x**2*(x - 1)**2*(x + 1)/3
Let s(n) be the second derivative of -n**6/10 - 3*n**5/20 + 3*n**4/4 + 5*n**3/2 + 3*n**2 + 2*n. Let s(v) = 0. Calculate v.
-1, 2
Let f(t) be the second derivative of 8/3*t**3 + 5/4*t**4 + 3*t + 0 + 2*t**2. What is y in f(y) = 0?
-2/3, -2/5
Let b = -6/3794617 - 6416695169/1377445971. Let d = 1/121 - b. Suppose 0*m + d*m**3 + 0 - 4/3*m**2 = 0. Calculate m.
0, 2/7
Factor 0 - 2/3*n**4 + 13/6*n**3 + 1/3*n - 11/6*n**2.
-n*(n - 2)*(n - 1)*(4*n - 1)/6
Let t(w) be the second derivative of -w**8/30240 + w**6/3240 - w**4/2 + 6*w. Let o(s) be the third derivative of t(s). Let o(m) = 0. What is m?
-1, 0, 1
Let o(p) = p**2 + p**3 + 2*p - 6*p + 3*p. Let b(u) = -16*u**3 + 9*u**2 + 7*u - 2. Let c be ((-2)/5)/(3/(-15)). Let l(a) = c*o(a) + b(a). Solve l(z) = 0 for z.
-1/2, 2/7, 1
Determine s so that -s**2 - 5*s**2 - 8 + 20 - 3*s**3 - 3*s**2 = 0.
-2, 1
Let p(s) be the third derivative of 0*s**3 - 3/40*s**6 + 0*s + 1/30*s**5 + 0 + s**2 + 0*s**4. What is a in p(a) = 0?
0, 2/9
Let y be 46/8 - 2/(-8). Let v(s) be the first derivative of -6*s**5 - 2/3*s**3 - 1 + 0*s + 0*s**2 + 3*s**y + 7/2*s**4. Determine f, given that v(f) = 0.
0, 1/3, 1
Suppose -2*p = 3*p - 20. Let a(z) = -2*z - 13. Let g be a(-9). Let 2*x**g - p*x**2 + 2*x**2 - 5*x**4 + 7*x**4 - 2*x**3 = 0. Calculate x.
-1, 0, 1
Let i(z) be the second derivative of 0*z**3 + 1/10*z**4 - 1/50*z**5 + 0 - 4/5*z**2 + z. Factor i(m).
-2*(m - 2)**2*(m + 1)/5
Suppose -9*z - 30 = -19*z. Factor 0 - n - 1/4*n**z + n**2.
-n*(n - 2)**2/4
Suppose 3*v + 5*c = 31, -3*v = 3*c + c - 26. Suppose -5*a = -v*a - 6. Factor 1/3*m**a + 0*m + 0.
m**2/3
Factor -3 - 21*z + 19 - 10*z**2 + 16*z**3 + z**5 + 5*z + 2*z**2 - 7*z**4.
(z - 2)**4*(z + 1)
Let l(p) be the third derivative of -3*p**2 + 0*p**3 + 1/80*p**5 + 0 + 0*p - 1/32*p**4. Determine k, given that l(k) = 0.
0, 1
Let o(i) = 2*i**3 - 2*i**2 + 0*i + 3*i - 5*i**3. Let q(z) = -7*z**3 - 5*z**2 + 7*z. Let h(d) = 5*o(d) - 2*q(d). Factor h(c).
-c*(c - 1)*(c + 1)
Let h be (6 + -4 + 1)*1. Suppose 0 = -5*s - 4*j + 18, 3*s - j + h*j - 10 = 0. Solve s*q**2 - 14/5*q**3 + 4/5*q + 0 = 0 for q.
-2/7, 0, 1
Determine v, given that 32 + 2*v**3 - 62 + 30 + 6*v**2 = 0.
-3, 0
Suppose -7*m = -8*m. Let n(t) be the third derivative of 0*t**3 + 0 + 2*t**2 + 1/90*t**5 + 0*t**4 + m*t + 1/315*t**7 + 1/90*t**6. Suppose n(j) = 0. What is j?
-1, 0
Let l be -2*(14/(-5) - (-12)/6). Let v = -386 + 1938/5. Factor v + 2/5*h**2 + l*h.
2*(h + 2)**2/5
Factor 0*x + 1/4*x**2 + 0*x**3 + 0 - 1/4*x**4.
-x**2*(x - 1)*(x + 1)/4
Let m(z) = z + 10. Let r be m(-10). Let a(s) be the second derivative of -1/12*s**4 + s - 1/3*s**3 + 0 + r*s**2. Find t such that a(t) = 0.
-2, 0
Let s = -18 + 18. Let n = 4 + s. Suppose 0 + 2/9*w**n + 2/9*w**3 - 2/9*w**2 - 2/9*w = 0. What is w?
-1, 0, 1
Let c(z) = 3*z - 21. Let h be c(8). Let b(w) be the second derivative of -1/6*w**2 - 3*w + 0 - 1/60*w**5 - 1/6*w**h - 1/12*w**4. Factor b(g).
-(g + 1)**3/3
Let l(f) be the third derivative of -f**8/252 - 4*f**7/315 - f**6/90 + 18*f**2. Factor l(b).
-4*b**3*(b + 1)**2/3
Let y(v) be the first derivative of 3/2*v + 1/6*v**3 + 5 + v**2. Factor y(o).
(o + 1)*(o + 3)/2
Let x be 10/20 + (5 - 2). Factor 1 + x*d**2 + 9/2*d.
(d + 1)*(7*d + 2)/2
Let i(z) be the first derivative of z**4 - 20*z**3/3 - 2*z**2 + 20*z + 24. Factor i(y).
4*(y - 5)*(y - 1)*(y + 1)
Let u = 32/5 + -342/55. Find t, given that -8/11*t**4 + 6/11*t**3 + 0*t + u*t**2 + 0 = 0.
-1/4, 0, 1
Let u(m) = m**2 + 18*m + 15. Let w be u(-15). Let l be (-19)/w - 38/285. Solve -l*a**2 + 1/2 + 5/4*a - 5/4*a**3 = 0 for a.
-1, -2/5, 1
Let n(y) be the second derivative of -1/48*y**4 + 0 - 1/12*y**3 - 1/8*y**2 + 3*y. Factor n(u).
-(u + 1)**2/4
Let q be -1*(-8 + 9) + 8/2. Let u(k) be the third derivative of -1/6*k**3 + 0 - q*k**2 + 1/60*k**5 + 0*k - 1/48*k**4 + 1/240*k**6. Let u(x) = 0. What is x?
-2, -1, 1
Let t(p) be the second derivative of p**7/42 - p**6/15 + p**5/20 + 8*p. Factor t(i).
i**3*(i - 1)**2
Let d = 2 - 0. Factor 2*n**2 - 4*n**2 + d*n**2 - 2*n**4.
-2*n**4
Let h(u) be the first derivative of -u**5/100 - u**4/20 - u**3/10 + 5*u**2/2 - 8. Let j(k) be the second derivative of h(k). Factor j(l).
-3*(l + 1)**2/5
Suppose 3 = -3*w + 9. Factor 3*f**2 - 2*f + f**2 - 4 - w*f**2.
2*(f - 2)*(f + 1)
Suppose 0 = 35*i - 31*i. Let x be -1 + 2/6*17. Solve 0 - x*s**3 + i*s + 4/3*s**2 = 0 for s.
0, 2/7
Let j(x) be the third derivative of -x**6/80 - x**5/5 + 35*x**4/64 - 9*x**3/16 - 5*x**2 - 5*x. Find p, given that j(p) = 0.
-9, 1/2
Suppose -3*y - 2*y = -4*v - 30, -5*v = -y + 6. Let r = 2 + 1. Solve -y*b**2 - 1/2*b**r + 2*b + 0 + 15/2*b**4 = 0 for b.
-1, 0, 2/5, 2/3
Let p = 535/6 + -89. Let l(g) be the second derivative of -1/6*g**3 + p*g**2 + 2/45*g**6 + 0 - 5/36*g**4 + 1/20*g**5 - g. Suppose l(v) = 0. What is v?
-1, 1/4, 1
Let i(b) = -4*b - 3. Let j be i(-6). Let u be (j/14)/(6/8). Factor 8/3*p + 8/3 + 2/3*p**u.
2*(p + 2)**2/3
Let a(n) be the second derivative of -n**8/8960 + n**7/1440 - n**6/576 + n**5/480 - n**4/3 - n. Let d(t) be the third derivative of a(t). Factor d(s).
-(s - 1)**2*(3*s - 1)/4
Let l(r) be the first derivative of r**3/3 - r**2 + r - 7. Suppose l(g) = 0. What is g?
1
Let q(k) be the first derivative of -k**5/5 + k**3/3 - k**2 - k + 3. Let g(p) = -p**3 - p - 1. Let l(h) = -2*g(h) + 2*q(h). Factor l(f).
-2*f*(f - 1)**2*(f + 1)
Let h(j) = j**2 - 7*j + 3. Let r be h(7). Factor 3 - 3 + s**2 - r*s**2.
-2*s**2
Suppose 8 = 4*x - 0*x. Let k be -1*(-2)/(x + -1). Solve -1/2 - h - 1/2*h**k = 0.
-1
Let r(u) = 2*u - 6. Let a be r(5). Let t(q) be the second derivative of -1/20*q**5 + 2*q + 1/120*q**6 + 0 + 1/8*q**2 - 1/6*q**3 + 1/8*q**a. Solve t(l) = 0.
1
Let u(y) be the third derivative of y**6/120 + 7*y**5/90 + 17*y**4/72 + y**3/3 + 25*y**2. Let u(k) = 0. What is k?
-3, -1, -2/3
Suppose 5*d + 3*j = 17 + 5, 3*d - 19 = 4*j. Suppose -5*m + d + 10 = 0. Factor -5*f - f**3 + 4*f - f**2 + m*f.
-f*(f - 1)*(f + 2)
Let s(g) be the first derivative of -g*