 = 0. Calculate i.
-1, -2/7, 0, 1
Let t(h) be the third derivative of 1/40*h**5 - 1/32*h**4 + 0*h**3 - h**2 + 0 - 1/160*h**6 + 0*h. Factor t(x).
-3*x*(x - 1)**2/4
Let u(w) be the second derivative of 1/18*w**4 + 1/9*w**3 - 2/3*w**2 - w + 0. Factor u(g).
2*(g - 1)*(g + 2)/3
Let g(y) = -5*y**2 + 5*y + 6. Let j(b) = -b**2 + 6*b + 6. Let d be j(6). Let q(p) = -14*p**2 + 14*p + 17. Let a(k) = d*q(k) - 17*g(k). What is x in a(x) = 0?
0, 1
Suppose -p + 6 - 4 = 0. Solve -3/7*f**p + 2/7*f + 1/7 = 0.
-1/3, 1
Let p be -1*2/(8/(-12)). Let l(j) be the second derivative of 1/80*j**5 + 1/6*j**3 - 1/12*j**4 + p*j + 0 + 0*j**2. Factor l(k).
k*(k - 2)**2/4
Suppose 2*o - 4*o - 2*o**2 + 0*o**2 + 10*o = 0. Calculate o.
0, 4
Let c(l) be the second derivative of -l**6/10 + l**4 - 5*l + 3. Determine m so that c(m) = 0.
-2, 0, 2
Let j(x) = 3*x**4 + 6*x**3 - 6*x**2 - 21*x - 12. Let l(h) = 6*h**4 + 12*h**3 - 11*h**2 - 41*h - 24. Let p(a) = 7*j(a) - 3*l(a). Let p(v) = 0. Calculate v.
-2, -1, 2
Solve 8/7*h**2 - 5/7*h**5 - 2/7 - 22/7*h**3 + 18/7*h**4 + 3/7*h = 0 for h.
-2/5, 1
Let r(o) be the second derivative of -o**7/5040 + o**6/720 - o**5/240 + o**4/6 - o. Let x(c) be the third derivative of r(c). Factor x(b).
-(b - 1)**2/2
Let o(p) be the first derivative of p**5/40 - p**3/12 + p - 3. Let v(b) be the first derivative of o(b). Factor v(y).
y*(y - 1)*(y + 1)/2
Let b = -1 - -4. Solve 2*h**2 + 7*h**3 + 2*h**3 + 7*h**2 + b*h**4 + 3*h = 0 for h.
-1, 0
Suppose -5 - 7 = -2*a. Let l be (a/4)/((-30)/(-16)). Solve -2/5*t + 0 + l*t**2 - 2/5*t**3 = 0.
0, 1
Let m = -1 + 3. Suppose 3*f = -m + 11. Factor 1/2*c**4 + 0*c - c**f + 1/2*c**2 + 0.
c**2*(c - 1)**2/2
Find z such that -2/5*z + 4*z**4 + 0 + 10*z**5 - 48/5*z**3 - 4*z**2 = 0.
-1, -1/5, 0, 1
Let r(z) be the first derivative of 7*z**6/48 - 2*z**5/5 - 3*z**4/32 + 2*z**3/3 - z**2/4 + 12. Let r(i) = 0. What is i?
-1, 0, 2/7, 1, 2
Let a = -802/9 - -1649/18. Find i such that -4*i**2 + 0 + 9/2*i**3 - a*i**5 - 2*i + 4*i**4 = 0.
-1, -2/5, 0, 1, 2
Suppose 0 = -2*b - b + x - 10, 5*x + 6 = b. Let n be ((-3)/6)/(6/b). Factor -1/3 + 0*y + n*y**2.
(y - 1)*(y + 1)/3
Factor 8/5*p + 0 - 2/5*p**2.
-2*p*(p - 4)/5
Let j(l) = -l**3 + l**2 + 5. Let x be j(0). Factor -9*u - x - 1 + 3*u**2 - 6*u**2.
-3*(u + 1)*(u + 2)
Let m(j) be the first derivative of -4*j**5/5 - j**4 + 4*j**3/3 + 2*j**2 + 5. Factor m(u).
-4*u*(u - 1)*(u + 1)**2
Let s(w) be the second derivative of w**6/50 - 3*w**5/25 + 3*w**4/10 - 2*w**3/5 + 3*w**2/10 - 44*w. Factor s(j).
3*(j - 1)**4/5
Suppose -2*d = -6*d + 12. Let z(h) be the first derivative of 1/24*h**6 + 0*h**2 - 3/20*h**5 + 3/16*h**4 - 1/12*h**d + 0*h + 1. Factor z(g).
g**2*(g - 1)**3/4
Let r be 312/13*(-2)/(-27). Factor -140/9*u**3 + 104/9*u**2 - 98/9*u**4 - r*u + 0.
-2*u*(u + 2)*(7*u - 2)**2/9
Let m(t) be the second derivative of -t**5/110 + t**4/66 + 2*t**3/33 - 17*t. Factor m(k).
-2*k*(k - 2)*(k + 1)/11
Let m(n) be the third derivative of n**7/42 - n**5/12 - 8*n**2 - 3*n. Find x such that m(x) = 0.
-1, 0, 1
Let n be 4/(-2)*1*-2. Let d = n + -4. Factor c + 1 + 4*c**2 + d*c - 6*c.
(c - 1)*(4*c - 1)
Let o(p) be the third derivative of p**4/24 + p**3/3 - 3*p**2. Let u be o(0). Factor -u*k**2 + 2 - 3*k - k + 4*k**2.
2*(k - 1)**2
Let t(d) be the first derivative of -10 + 0*d**2 + 1/12*d**3 + 1/32*d**4 + 0*d. Factor t(z).
z**2*(z + 2)/8
Factor 12/5 - 2/5*q**2 - 2/5*q.
-2*(q - 2)*(q + 3)/5
Let b(x) be the third derivative of 1/30*x**5 - 1/12*x**4 + 0 + 0*x - 2/3*x**3 + 3*x**2. Let b(n) = 0. What is n?
-1, 2
Let h = 9 + -9. Let f(z) be the first derivative of 1 + 0*z**5 + 1/24*z**6 + h*z - 1/8*z**4 + 1/8*z**2 + 0*z**3. Let f(y) = 0. What is y?
-1, 0, 1
Suppose u - 12 = -3*q + 2*u, u + 3 = 0. Determine s so that s - 3 + 2*s**2 + s + q = 0.
-1, 0
Let 16/7 + 1/7*b**3 + 9/7*b**2 + 24/7*b = 0. Calculate b.
-4, -1
Let v(j) = -49*j**3 + 74*j**2 - 35*j + 4. Let o(l) = 49*l**3 - 73*l**2 + 36*l - 4. Let a(x) = 3*o(x) + 4*v(x). Factor a(k).
-(k - 1)*(7*k - 2)**2
Let n = -23/15 + 29/15. Suppose -1/5*t**5 + 2/5*t**2 + 0*t - n*t**4 + 0 + 1/5*t**3 = 0. Calculate t.
-2, -1, 0, 1
Let p(m) be the first derivative of -m**4/4 - 3*m**3 - 27*m**2/2 - 9*m - 7. Let g(r) be the first derivative of p(r). Factor g(b).
-3*(b + 3)**2
Suppose -5*v = -2*v - 15. Suppose -m = m - 5*n - 8, v*m = -3*n + 20. Factor -m*b**3 - 4*b**2 - 2*b**4 - 2*b - 2*b**2 - 2*b**3.
-2*b*(b + 1)**3
Let z(r) = -r**2 - 3*r - 2. Let t be z(-2). Suppose t = d - 2*d + 3. Factor g**2 - g**5 - g**4 + 0*g**5 - 3*g**3 + 4*g**d.
-g**2*(g - 1)*(g + 1)**2
Let w be 6/(-5)*14/(-6). Let q be (6 + (-230)/40)*72/5. Let -w*c**4 - 18/5*c + 2*c**2 + 4/5 + q*c**3 = 0. Calculate c.
-1, 2/7, 1
Let j(t) be the second derivative of -t**7/6300 + t**6/600 + t**4/4 + 5*t. Let a(n) be the third derivative of j(n). Suppose a(d) = 0. Calculate d.
0, 3
Let b be 48/64 + 11/(-20). Suppose -b*u**2 - 1/5 + 2/5*u = 0. What is u?
1
Let k(j) = 5 + 3 + 5 - j - 3. Let t be k(7). Factor -z**2 + 0*z + 0 + 1/2*z**t.
z**2*(z - 2)/2
Factor 1/8*p**3 + 0*p**2 + 0*p + 0.
p**3/8
Suppose 5*j + 8 = -4*i, -4*i - 8 = 2*j - 4*j. Let -z**2 - 4*z**3 + 3*z + j*z**2 + 1 - 5*z**3 + 6*z**3 = 0. What is z?
-1, -1/3, 1
Let s(n) be the first derivative of n**5 - 5*n**4/4 - 5*n**3/3 + 5*n**2/2 + 12. Factor s(z).
5*z*(z - 1)**2*(z + 1)
Suppose 0 = 2*b - 3*k - 28, 2*b - 5*k - 18 - 18 = 0. Let q = -6 + b. Factor 1/2*r + 0 - 1/2*r**q + 1/2*r**4 - 1/2*r**3.
r*(r - 1)**2*(r + 1)/2
Suppose 9*k = 20 + 16. Let v(y) be the third derivative of 1/6*y**3 + 0 + 1/20*y**5 - 1/120*y**6 - 1/8*y**k + 0*y + y**2. Factor v(p).
-(p - 1)**3
Solve 26/3*a**4 + 4/3*a**2 - 8/3*a**5 + 0 + 0*a - 22/3*a**3 = 0.
0, 1/4, 1, 2
Factor 0*f + 4/3*f**2 + 0 + 1/3*f**4 + 4/3*f**3.
f**2*(f + 2)**2/3
Let l(k) be the second derivative of -k**6/3 - 11*k**5/4 - 5*k**4/3 + 25*k**3/6 - k. Determine r so that l(r) = 0.
-5, -1, 0, 1/2
Let h(s) = s**3 - 10*s**2 + 9*s + 4. Let i be h(9). Suppose -10*r + i*r = -12. Factor 0*t**r + 3/4*t**4 + 0*t + 3/4*t**3 + 0.
3*t**3*(t + 1)/4
Solve 2/3*o**4 + 2*o**2 - 2*o**3 + 0 - 2/3*o = 0.
0, 1
Let a(g) = 18*g**4 + 43*g**3 + 32*g**2 + 7*g. Let y(s) = s**4 + s**3 - s**2 - s. Let v(c) = -a(c) + 3*y(c). Suppose v(j) = 0. What is j?
-1, -2/3, 0
Let s(o) be the third derivative of 0*o**3 + 1/12*o**4 - 1/210*o**7 + 1/30*o**6 - 1/12*o**5 + 0 + 2*o**2 + 0*o. Solve s(d) = 0 for d.
0, 1, 2
Factor 1/6*g**2 + 5/6 - g.
(g - 5)*(g - 1)/6
Determine c, given that -44*c - 963*c**2 + 584 - 100 + 964*c**2 = 0.
22
Let s(u) = 23*u**3 + 2*u**2 - 2*u + 1. Let x(a) = a**2 - 3*a + 1. Let i be x(3). Let n be s(i). Factor 4 - 54*h**3 + 81/4*h**4 - n*h + 54*h**2.
(3*h - 2)**4/4
Let i(u) be the second derivative of -u**7/63 + 8*u**6/225 + 2*u**5/75 - u**4/9 + u**3/45 + 2*u**2/15 + 11*u. Suppose i(a) = 0. What is a?
-1, -2/5, 1
Suppose 4*q - o = 7, 5*q + 3*o - 10 = 4*o. Suppose -3 = -q*f + 3. Let 0 + 1/4*a**4 + 0*a**f + 0*a**3 + 0*a = 0. What is a?
0
Let t(q) be the third derivative of q**5/300 - q**4/30 + 2*q**3/15 + 9*q**2. Find x such that t(x) = 0.
2
Let b be 828/345 - 2/((-20)/6). Let -b*w**2 + 0 + 3/2*w - 33/8*w**3 - 9/8*w**4 = 0. What is w?
-2, 0, 1/3
Suppose 3*p = -0*p + 9. Let z be (54 + -51)*(1 + (-22)/30). Factor z + 0*i**2 + 2/5*i**p - 6/5*i.
2*(i - 1)**2*(i + 2)/5
Let d(p) be the second derivative of p**7/105 - 13*p**6/150 + 8*p**5/25 - 37*p**4/60 + 2*p**3/3 - 2*p**2/5 + 21*p. Find w, given that d(w) = 0.
1/2, 1, 2
Let d(a) be the second derivative of 2*a + 4*a**2 + 0 + 5/6*a**4 - 4*a**3. Factor d(u).
2*(u - 2)*(5*u - 2)
Let l(p) = -p**5 - p**4 - p**2 - 1. Let u(k) = 7*k**5 + 27*k**4 + 50*k**3 + 52*k**2 + 25*k + 7. Let b(c) = -2*l(c) - u(c). Determine o, given that b(o) = 0.
-1
Factor 1/2*u**4 + 5/2*u**3 - 1/2*u**2 - 1/2*u**5 - 4*u - 2.
-(u - 2)**2*(u + 1)**3/2
Let v(n) be the third derivative of -n**7/210 + 7*n**6/180 - 19*n**5/180 + n**4/18 + 2*n**3/9 - 11*n**2. Suppose v(y) = 0. What is y?
-1/3, 1, 2
Let y = 283/6 - 47. Let f(s) be the first derivative of -1/3*s**2 - 2/3*s + 2 + y*s**4 + 2/9*s**3. Factor f(n).
2*(n - 1)*(n + 1)**2/3
Let q(d) be the third derivative of -d**6/480 + d**5/120 + 13*d**2. Factor q(b).
-b**2*(b - 2)/4
Suppose 5*y + 10 = -3*a, 6 = -5*a - 5*y - 4. Let o(t) be the first derivative of a*t**3 + 0*t - 1/3*t**2 + 1/6*t**4 + 2. Factor o(v).
2*v*(v - 1)*