) = -28*h**5 - 16*h**4 + 4*h**3 - 4*h + 4. Let g(s) = 28*s**5 + 17*s**4 - 5*s**3 + 3*s - 3. Let w(o) = -4*g(o) - 3*p(o). Factor w(y).
-4*y**3*(y + 1)*(7*y - 2)
Let z = 2 + 2. Let n be 5/3*(2 + 1). Suppose -2*c**n + c + z*c**4 + 2*c**4 - 9*c**3 - 4*c**2 - 2 + 5*c + 5*c**3 = 0. What is c?
-1, 1
Let p(h) = -10*h + 3. Let a(w) = -w**2 + w - 1. Let t(u) = 3*a(u) + p(u). Let r(f) = -2*f + 3*f**2 - 3*f**2 - f**2. Let k(x) = -7*r(x) + 2*t(x). Factor k(q).
q**2
Let k(o) = 6*o**4 - 6*o**3 + 10*o**2 - 10*o + 8. Let x(s) = s**4 - s**3 + s**2 - s + 1. Let h be 16/(-4) - -8 - -4. Let b(t) = h*x(t) - k(t). Factor b(a).
2*a*(a - 1)**2*(a + 1)
Let k(z) be the first derivative of -1/3*z**2 - 5 + 0*z + 1/9*z**3. Find q such that k(q) = 0.
0, 2
Factor d**2 + 2*d**3 + 4*d**3 + 3*d**2 - 4*d**3.
2*d**2*(d + 2)
Let v(n) = 3*n**2 - 1. Let h be v(1). Factor 0*z**h + 2*z + 4 + z**2 - 3*z**2.
-2*(z - 2)*(z + 1)
Let h(v) be the second derivative of v**6/40 - 3*v**5/80 - v**4/16 + v**3/8 + 7*v. Let h(d) = 0. Calculate d.
-1, 0, 1
Let a(y) be the second derivative of y**6/40 - y**4/8 - 3*y**2 - 3*y. Let d(z) be the first derivative of a(z). Find m, given that d(m) = 0.
-1, 0, 1
Suppose 12 = 16*w - 20. Suppose -3/7 - 3/7*u**w - 6/7*u = 0. What is u?
-1
Let y(x) be the first derivative of 7*x + 1/2*x**2 + 1 + 9/4*x**4 - 4/3*x**3. Let v(g) = 3*g**3 - g**2 + 2. Let t(u) = 7*v(u) - 2*y(u). Factor t(n).
n*(n + 1)*(3*n - 2)
Suppose -4*k = -k - k. Let a(p) be the third derivative of p**2 + 0*p**3 + k + 1/20*p**5 + 1/8*p**4 + 0*p. Let a(o) = 0. What is o?
-1, 0
Let l(n) be the second derivative of -n**5/45 + n**4/18 + 2*n**3/27 - n**2/3 - 57*n. Factor l(o).
-2*(o - 1)*(o + 1)*(2*o - 3)/9
Suppose -3*c + 3 = -3*i + 2*c, 5*i - 32 = -4*c. Suppose 0 = -q - i*a + 14, -7 = -2*q - 3*a + 2*a. Factor 2 - 5*n**q - 2*n + 4*n**2 + n.
-(n - 1)*(n + 2)
Let d(j) be the first derivative of 4*j**5/5 - 4*j**3/3 + 2. Factor d(v).
4*v**2*(v - 1)*(v + 1)
Let w = -1 + 3. Suppose -6*d = -0*d - d. Factor 2/7*g**w + 2/7*g + d.
2*g*(g + 1)/7
Let s(o) be the first derivative of o**4/5 - 8*o**3/15 - 1. Factor s(r).
4*r**2*(r - 2)/5
Let w(a) = a**3 + 6*a**2 + 8*a + 9. Let f be w(-4). Suppose 6*i - 5*i - f = 0. Find y, given that -3*y - i*y**3 - 9*y**2 - 1/3 = 0.
-1/3
Let n(h) be the first derivative of -h**4/6 - h**3/2 + h**2 - 3*h + 3. Let y(d) be the first derivative of n(d). Solve y(g) = 0 for g.
-2, 1/2
Let f = 1/79 + 151/553. Factor -8/7*w - f*w**2 - 8/7.
-2*(w + 2)**2/7
Let s be (4/7)/(40/420). Let p(m) be the second derivative of -1/20*m**5 + 0*m**2 + 0 + 1/12*m**4 - m + 1/6*m**3 - 1/30*m**s. Solve p(t) = 0.
-1, 0, 1
Suppose 7 + 2*f**2 + 18*f**2 + 3 + 45*f = 0. What is f?
-2, -1/4
Let i(c) = -2*c - 7. Let g be i(-5). Factor 7 - 9 + 0*s**2 - s**2 + g*s**2.
2*(s - 1)*(s + 1)
Let h(s) = -19*s**2 + 12*s. Suppose 0 = 4*c - 4*p - 61 + 1, -3*p + 91 = 5*c. Let r(v) = 6*v**2 - 4*v. Let q(t) = c*r(t) + 6*h(t). Find l, given that q(l) = 0.
0, 1/3
Factor -115*d - 120*d + 120*d - 20*d**2 + 30.
-5*(d + 6)*(4*d - 1)
Factor 5/3*o + 0 - 5/3*o**3 + 0*o**2.
-5*o*(o - 1)*(o + 1)/3
Solve 0 - 1/6*x**2 + 1/6*x = 0 for x.
0, 1
Let p = -1704 - -460081/270. Let u(w) be the third derivative of 0*w + 2*w**2 - 2/27*w**3 + 0 + 1/108*w**4 + p*w**5. Factor u(q).
2*(q - 1)*(q + 2)/9
Let b(f) = -f**3 + f**2 - f + 1. Let z(o) = -2*o + 8. Let n be z(6). Let y(i) = 2*i**3 + 8*i**2 - 18*i + 8. Let w(u) = n*b(u) + y(u). Factor w(p).
2*(p - 1)*(p + 2)*(3*p - 1)
Let p be 372/420 + -4*2/28. Factor -p*l**3 - 3*l**2 - 12/5 - 24/5*l.
-3*(l + 1)*(l + 2)**2/5
Suppose 6/7*k - 3/7*k**2 + 0 = 0. What is k?
0, 2
Suppose 2*c - 8 = -3*z, -8*z + 3*z + 5*c = 20. Solve 0*s + 4/11*s**3 + 10/11*s**5 + 14/11*s**4 + 0 + z*s**2 = 0.
-1, -2/5, 0
Let v(y) be the second derivative of -y**6/420 + y**5/105 - y**4/84 + y**2 - 3*y. Let z(i) be the first derivative of v(i). Solve z(j) = 0 for j.
0, 1
Suppose -2*b = 4*o + 16, 3*o - 2*o + 4 = -5*b. Solve b - 4/5*q**2 + 6/5*q**3 + 0*q = 0.
0, 2/3
Let z be 1*(-6)/(-54)*3. Let o be (-7)/(-3) + 1/(-3). Suppose -z*m**o + 0 + 0*m = 0. Calculate m.
0
Let k be 4 + (-4)/2 + 72/(-48). Factor 0 + 1/4*z**2 - k*z + 1/4*z**3.
z*(z - 1)*(z + 2)/4
Let z(o) be the second derivative of -1/90*o**5 - 8*o + 1/27*o**3 - 1/135*o**6 + 1/54*o**4 + 0*o**2 + 0. Find u, given that z(u) = 0.
-1, 0, 1
Let c(z) be the second derivative of z**6/1440 + z**5/120 + z**4/24 - 2*z**3/3 + 3*z. Let g(j) be the second derivative of c(j). Factor g(y).
(y + 2)**2/4
Let o(g) = 2*g**2 - g. Let k be o(-1). Suppose 5 = n + k. Determine f so that 2*f**3 + 2*f**n - f**3 - f**2 = 0.
-1, 0
Suppose -2/9*p**4 + 0 + 0*p + 0*p**2 - 8/9*p**3 = 0. What is p?
-4, 0
Let y(m) = -7*m**2 + m. Let g be (-1)/2 - (-20)/(-8). Let q(h) = 4*h**2 - h. Let b(l) = g*y(l) - 5*q(l). Factor b(a).
a*(a + 2)
Let i(w) = w**2 - w - 1. Let h(s) be the second derivative of -17*s**4/4 + 5*s**3 - s**2 - 2*s. Let p(d) = 2*h(d) + 4*i(d). Solve p(z) = 0 for z.
2/7
Let k = 299/145 + -54/29. Factor -3/5*y - k*y**3 + 1/5 + 3/5*y**2.
-(y - 1)**3/5
Let m be -3 + (0 - 0) + 15. Suppose 0 = 5*l - 0*r - 2*r - 8, 5*l - m = 3*r. Solve 0*f**2 + l + 2/3*f**3 - 2/3*f = 0.
-1, 0, 1
Let d(p) be the second derivative of 9/2*p**2 + 25/4*p**4 - 15/2*p**3 - 4*p - 29/12*p**5 + 4/9*p**6 - 2/63*p**7 + 0. Solve d(y) = 0.
1/2, 3
Let w(c) be the third derivative of -c**8/4320 + c**7/3780 - c**5/30 - 2*c**2. Let n(j) be the third derivative of w(j). What is u in n(u) = 0?
0, 2/7
Let m(c) = c**3 - 4*c**2 + 5*c - 2. Let o be m(3). Let x(y) be the second derivative of -1/15*y**6 - 2*y**o + 0 - y + 0*y**2 - 8/3*y**3 - 3/5*y**5. Factor x(t).
-2*t*(t + 2)**3
Find l such that -32*l**2 + 18*l**2 - 4*l + 14*l**4 + 2*l**3 + 4*l**5 - 2*l = 0.
-3, -1, -1/2, 0, 1
Let j = -24/5 - -53/10. Suppose -j*c**2 - 9/2 - 3*c = 0. Calculate c.
-3
Suppose 3 = -3*d + 9. Suppose 2*q = -3*q. Solve -1/2*g + 3/4*g**d - 1/4*g**3 + q = 0 for g.
0, 1, 2
Suppose -3*f + 4*f - 4 = 0, -2*f = -2*w - 4. Let o(n) be the second derivative of n**3 + 0*n**w + n + 0 - 1/4*n**4. Factor o(t).
-3*t*(t - 2)
Let c be (127/64 - 2)/((-1)/2). Let q(n) be the third derivative of 1/80*n**5 + 0 + 1/480*n**6 + 0*n + 1/24*n**3 + c*n**4 - 3*n**2. Factor q(p).
(p + 1)**3/4
Find t such that 7/3*t + 8/3 - 1/3*t**2 = 0.
-1, 8
Let c(y) be the second derivative of y**5/90 - y**4/12 + 3*y**2 - 7*y. Let o(u) be the first derivative of c(u). Factor o(m).
2*m*(m - 3)/3
Let g(r) be the third derivative of -r**8/168 - r**7/315 + r**6/60 + r**5/90 - 7*r**2. Determine t so that g(t) = 0.
-1, -1/3, 0, 1
Let k(q) be the second derivative of q**5/60 + q**4/12 + q**3/6 + q**2/6 + 5*q. Factor k(g).
(g + 1)**3/3
Let l(n) = -6*n**3 - 3*n**2 - 2 + 11 + 0*n**2. Let b(q) be the first derivative of 5*q**4/4 + q**3 - 8*q + 2. Let t(v) = 5*b(v) + 4*l(v). Factor t(s).
(s - 1)*(s + 2)**2
Let x(m) be the second derivative of -m**4/66 - 14*m**3/33 - 49*m**2/11 - m - 5. Factor x(p).
-2*(p + 7)**2/11
Let t(y) = -y**3 - 5*y**2 - 2*y - 2. Let k be t(-4). Let j be ((-18)/(-15))/((-14)/k). Factor -2/7*r + 0 - j*r**2.
-2*r*(3*r + 1)/7
Suppose -4*b = -3*v + 7, -3*b - 5*v = -b - 29. Factor 1/6*f**b + 2/3*f + 2/3.
(f + 2)**2/6
Suppose -1/4*t**4 + 7/4*t**2 - 9/2 - 15/4*t + 3/4*t**3 = 0. Calculate t.
-2, -1, 3
Let u be ((0 - 0)/(-1))/(-1). Let p(f) = f + 2. Let j be p(u). Factor 1 + 3*q + q**j - q + 0*q + 0.
(q + 1)**2
Let u be (2/(-4))/(1/(-14)). Let -4*i**2 + u + 2*i**2 - 2 - 2*i - 1 = 0. Calculate i.
-2, 1
Let j(p) be the third derivative of -p**8/84 - 2*p**7/35 + p**6/6 + p**5/5 - 2*p**4/3 + 3*p**2 + 7. Determine r so that j(r) = 0.
-4, -1, 0, 1
Let o be (-27)/(-5) + (8 - 11). Factor 3/5 + o*w**3 + 18/5*w**2 + 12/5*w + 3/5*w**4.
3*(w + 1)**4/5
Let v be (-22)/(-8) + (-1)/(-4). Suppose 6*h - 15 = 15. Factor -d - 4*d**2 - 3*d**h - 4*d**4 - 3*d**3 - v*d**3 + 2*d**5.
-d*(d + 1)**4
Let p = 46 - 134/3. Suppose -8*w**3 + 8/3*w + 2/3 - p*w**2 + 6*w**4 = 0. What is w?
-1/3, 1
Factor 0 + 2*q**3 + 6*q**2 + q + 4 - 2*q**4 - 11*q.
-2*(q - 1)**3*(q + 2)
Let k(i) = 2*i**3 - 10*i**2 + 8*i. Let q(t) = -5*t**3 + 29*t**2 - 24*t. Let x(y) = 7*k(y) + 2*q(y). Suppose x(d) = 0. Calculate d.
0, 1, 2
Let 7/3*o**3 - 16/3*o + 3*o**5 + 17/3*o**2 + 4/3 - 7*o**4 = 0. What is o?
-1, 2/3, 1
Let g = 6/193 - 3299/579. Let z = 88/15 + g. Factor z*t**2 + 0 - 1/