of -f**7/21 - 7*f**6/15 - 7*f**5/5 - f**4/3 + 5*f**3 + 9*f**2 + 15*f. Let h(i) = 0. Calculate i.
-3, -1, 1
Let r(i) = -i**3 - 5*i**2 + 3. Let n be r(-5). Let d(g) be the second derivative of 1/30*g**4 - n*g + 2/5*g**2 - 1/5*g**3 + 0. Solve d(o) = 0 for o.
1, 2
Find x, given that 10*x**3 - 173*x**5 - 5*x**4 + 83*x**5 + 85*x**5 = 0.
-2, 0, 1
Suppose 5*g = -8 - 2. Let k be 5/(-4)*g/2. Suppose 3/4*q + k*q**2 - 1/2 = 0. Calculate q.
-1, 2/5
Let x(f) = -3*f**3 - 12*f**2 - 6*f. Let y(z) = 9*z**3 + 35*z**2 + 19*z + 1. Suppose -3 - 5 = -p. Let d(n) = p*x(n) + 3*y(n). Determine l, given that d(l) = 0.
-1
Let j(t) = 3*t**5 - 23*t**4 + 10*t**3 + 14*t**2 - 29*t + 1. Let z(p) = p**5 - 8*p**4 + 3*p**3 + 5*p**2 - 10*p. Let d(h) = -3*j(h) + 8*z(h). Factor d(a).
-(a - 3)*(a - 1)**3*(a + 1)
Let f(l) be the first derivative of 2/9*l**3 - 2/9*l**2 + 0*l + 2 - 2/15*l**5 + 7/18*l**4 - 5/27*l**6. Suppose f(t) = 0. Calculate t.
-1, 0, 2/5, 1
Let u(p) be the third derivative of -p**7/45 + 13*p**6/540 + 2*p**5/45 - p**4/27 - 43*p**2. Determine m so that u(m) = 0.
-2/3, 0, 2/7, 1
Let j(l) = -l**3 + 7*l**2 - 5*l - 3. Let i be j(6). Let -6*z**i - 126*z**4 + 0 + 3 - 6*z**2 + 129*z**4 + 3*z + 3*z**5 = 0. What is z?
-1, 1
Let k(g) be the first derivative of 0*g**3 - 1/300*g**5 + g**2 + 0*g + 0*g**4 - 3. Let q(b) be the second derivative of k(b). Factor q(y).
-y**2/5
Suppose -55 = -0*p - 5*p. Let q = 16 - p. Find n such that q*n + 3*n + 0*n + n**3 + 5*n**2 + 4 = 0.
-2, -1
Factor 5/3 - 8/9*o + 1/9*o**2.
(o - 5)*(o - 3)/9
Factor -1 + 1/2*d**2 + 1/2*d.
(d - 1)*(d + 2)/2
Let l be 2418/143 + 18/33. Let 98/11*g**4 + 32/11 - l*g + 336/11*g**3 + 16*g**2 = 0. What is g?
-2, 2/7
Let u be (-6)/(5/(30/(-4))). Let z(c) = c - 4. Let o be z(u). Solve -r**2 - r**2 - o*r + r = 0 for r.
-2, 0
Find s such that -s**3 - 5*s**2 + 4 - 8*s - 3 - 10 + 5 = 0.
-2, -1
Let b = -2 - -25. Factor -2*s + 2 + 24*s**2 - b*s**2 - 1.
(s - 1)**2
Solve -84*j**4 + 2*j - 3*j + 4*j**2 + 9*j - 88*j**3 = 0.
-1, -1/3, 0, 2/7
Suppose 5*r = -3*g - 25, -2*g - 3*r + 10 = -5*r. Let z be 5 + -1 + g/5. Factor -k**2 - 2*k**5 + 12*k**5 - 2*k**2 - 24*k**z + 18*k**3 - k**2.
2*k**2*(k - 1)**2*(5*k - 2)
Let k(u) = -u**2 + 7*u + 4. Let j(o) = o**2 - 8*o - 4. Let p(t) = 4*j(t) + 5*k(t). Let r be p(3). Suppose r*q - q**2 - q - 2*q = 0. Calculate q.
0, 1
Let -44*h**2 + 0 + 40*h - 112/5*h**3 - 12/5*h**4 = 0. What is h?
-5, 0, 2/3
Let w(m) be the third derivative of m**6/660 - m**4/44 + 2*m**3/33 - m**2. Factor w(u).
2*(u - 1)**2*(u + 2)/11
Let o(i) = -i + 9. Let x be o(4). Suppose -t + t**2 - t + 3*t**2 + t**5 - 4*t**4 + t**x = 0. What is t?
-1, 0, 1
Let a(q) be the first derivative of 1/7*q**2 - 5 + 1/21*q**3 + 0*q. Factor a(m).
m*(m + 2)/7
Let y(d) be the third derivative of d**6/450 + d**5/150 + d**4/120 + d**3/3 - 2*d**2. Let j(q) be the first derivative of y(q). Solve j(v) = 0 for v.
-1/2
Let h = -2 + 2. Let n(l) be the second derivative of 0*l**2 + h - 1/48*l**4 - l - 1/80*l**5 + 0*l**3. Let n(k) = 0. What is k?
-1, 0
Let w = 12871/30 - 429. Let u(z) be the third derivative of -1/1050*z**7 + 1/150*z**6 + 1/30*z**4 + 0*z + 0 + 2*z**2 - 1/50*z**5 - w*z**3. Factor u(s).
-(s - 1)**4/5
Let x(o) be the second derivative of -3/10*o**5 - 1/6*o**3 - 1/42*o**7 + 2*o + 2/15*o**6 + 1/3*o**4 + 0*o**2 + 0. Factor x(l).
-l*(l - 1)**4
Let n(b) = -3*b. Let g be n(-1). Find l such that 8*l**2 - 2*l**5 + l**3 + 5*l - 8*l**4 + 6*l - 3*l - 7*l**g = 0.
-2, -1, 0, 1
Let h(p) be the second derivative of -p**6/285 + p**4/114 - 18*p. Suppose h(z) = 0. What is z?
-1, 0, 1
Let z(m) be the second derivative of m**9/30240 - m**8/6720 + m**7/5040 - m**4/2 + 8*m. Let g(s) be the third derivative of z(s). Factor g(p).
p**2*(p - 1)**2/2
Let n(a) be the first derivative of 11/3*a**3 + 7/5*a**5 - a**2 + 0*a - 1 - 4*a**4. Factor n(b).
b*(b - 1)**2*(7*b - 2)
Let h(w) be the second derivative of w**7/280 + w**6/40 + 3*w**5/40 + w**4/8 + 5*w**3/6 - w. Let n(m) be the second derivative of h(m). Factor n(c).
3*(c + 1)**3
Let k(z) = 8*z**2 - 4*z - 9. Let q(f) = 9*f**2 - 4*f - 10. Let m(i) = -6*k(i) + 5*q(i). Factor m(y).
-(y - 2)*(3*y + 2)
Factor -23*h + 25*h**4 + 62*h - 75*h**2 - 20 + 41*h - 3*h**3 - 7*h**3.
5*(h - 1)**2*(h + 2)*(5*h - 2)
Suppose -2*o + 3 = -3*l - 9, -3*o + 16 = -4*l. Let n(h) be the third derivative of 0*h**3 + o*h**4 + 1/150*h**5 + 0 - 3*h**2 + 0*h. Factor n(a).
2*a**2/5
Suppose 60*y - 150 = 10*y. Factor -3/4*a**y + 0*a + 0 - 3/2*a**2.
-3*a**2*(a + 2)/4
Let f(a) be the first derivative of 3/2*a**2 - 2*a + 3/5*a**5 + 3 - 7/4*a**4 + a**3. Find q such that f(q) = 0.
-2/3, 1
Let u(y) be the first derivative of y**4/12 - y**3/9 + 3. Factor u(b).
b**2*(b - 1)/3
Let h(o) be the first derivative of -5*o**8/1008 + o**7/90 - o**6/180 - o**2 + 2. Let y(x) be the second derivative of h(x). Factor y(d).
-d**3*(d - 1)*(5*d - 2)/3
Let c(o) = o + 0*o + o**3 - 6*o**2 - 4 - 2. Let b be c(6). Factor -28/3*d**2 - 49/3*d**3 - 4/3*d + b.
-d*(7*d + 2)**2/3
Solve 40*n**5 - 6*n**4 + 12*n**2 - 19*n**5 - 3*n**4 - 18*n**5 = 0 for n.
-1, 0, 2
Suppose 14*v = 18 + 66. Suppose 0*n - 5*n + 15 = 0. Factor 2 - 3*k**4 + 7*k**3 - k**n - v*k + 1.
-3*(k - 1)**3*(k + 1)
Let i(m) be the second derivative of -m**6/1980 + m**5/660 - m**3/6 - 2*m. Let j(o) be the second derivative of i(o). Determine r, given that j(r) = 0.
0, 1
Suppose 3*r - 1 = 2. Let z = r + -1. Factor -2*c**2 + z*c**3 - 3*c**3 + 5*c**3.
2*c**2*(c - 1)
Find x such that 15/2*x**3 + 1/4*x**5 + 9/4*x**4 + 33/4*x + 23/2*x**2 + 9/4 = 0.
-3, -1
Let p(l) be the second derivative of 0 - 1/25*l**6 - 1/30*l**4 + 4*l + 1/15*l**3 + 0*l**2 - 1/10*l**5. Factor p(k).
-2*k*(k + 1)**2*(3*k - 1)/5
Let c be 2/(-8) + (-285)/(-660) - 0. Factor 0 + 2/11*p**2 - c*p**4 - 2/11*p + 2/11*p**3.
-2*p*(p - 1)**2*(p + 1)/11
Let d(y) = -y**3 + 28*y**2 - 14*y + 15. Let w(o) = -o**3 + 14*o**2 - 8*o + 7. Let h(z) = 6*d(z) - 14*w(z). Determine n so that h(n) = 0.
1/2, 1, 2
Let s(f) be the first derivative of -2/25*f**5 + 0*f + 0*f**3 - 4 + 1/10*f**4 + 0*f**2. Let s(j) = 0. Calculate j.
0, 1
Let j(q) = -q**3 + q**2 + q + 2. Let x be j(2). Let o be 5/(-2) + (24 - 21). Solve 1/4*h**3 - o*h**2 + 1/4*h + x = 0 for h.
0, 1
Let x(f) = 7*f**2 - 3*f + 8. Let i(n) = -n**2 + n - 1. Let l(o) = 6*i(o) + x(o). Factor l(c).
(c + 1)*(c + 2)
Let k(d) be the third derivative of 1/210*d**7 + 0 + 0*d + 5*d**2 + 0*d**3 - 1/60*d**5 + 1/24*d**4 - 1/120*d**6. Factor k(h).
h*(h - 1)**2*(h + 1)
Let d(z) = -z**2 + z. Let x(h) = 6*h**4 - 16*h**3 - 6*h**2 + 24*h - 8. Let j(v) = 8*d(v) - x(v). Solve j(p) = 0 for p.
-1, 2/3, 1, 2
Let -8/3*m**3 - 2/3*m + 8/3*m**2 + 0 = 0. Calculate m.
0, 1/2
Factor 1/2 + 1/8*p**4 + 3/8*p - 3/8*p**3 - 5/8*p**2.
(p - 4)*(p - 1)*(p + 1)**2/8
Suppose -9*w = -5*w + 60. Let s be (12/40)/((-3)/w). Factor 0 + 0*y - s*y**2.
-3*y**2/2
Let v = -5 + 22. Let f(d) = d**5 - 8*d**4 - 4*d**2 - d. Let l(c) = 3*c**5 - 23*c**4 - 11*c**2 - 3*c. Let n(u) = v*f(u) - 6*l(u). Factor n(m).
-m*(m - 1)**3*(m + 1)
Let u be (-8)/(-10)*1/4. Let 0*w + 0*w**2 + 2/5*w**4 + u*w**3 + 0 + 1/5*w**5 = 0. Calculate w.
-1, 0
Let s(a) = -14*a**4 + 10*a**3 - 16*a + 8. Let c(i) = -3 + 5*i - 6*i**3 + 2*i**3 + 5*i**4 + i**3. Let z(g) = 8*c(g) + 3*s(g). Factor z(h).
-2*h*(h - 2)**2*(h + 1)
Let u(w) = -2*w**2 + w - 1. Let a(x) = 3*x**2 - 4*x + 1. Let v(r) = 2*a(r) + 2*u(r). Solve v(s) = 0.
0, 3
Let o(k) = -k - 8. Let m be o(-10). Factor n**4 + 3*n**2 - 2*n**m + n**2 + n**5 - n - 3*n**4.
n*(n - 1)**3*(n + 1)
Let l(p) be the first derivative of 2*p**5/25 + p**4/10 + 19. Factor l(a).
2*a**3*(a + 1)/5
Let v(u) be the second derivative of -u**8/20160 + u**7/7560 + u**4/6 + u. Let c(t) be the third derivative of v(t). What is p in c(p) = 0?
0, 1
Let d be (1/3)/(6 - (-175)/(-30)). Let v(i) be the first derivative of 0*i**3 - d + 1/15*i**5 + 1/6*i**4 + 0*i**2 + 0*i. Factor v(h).
h**3*(h + 2)/3
Let j(c) = -17*c - 32. Let o be j(-2). Factor 0*d + 0*d**o + 1/4*d**3 + 0.
d**3/4
Let a = 90 - 87. Factor -4/11 - 2/11*y**a + 4/11*y**2 + 2/11*y.
-2*(y - 2)*(y - 1)*(y + 1)/11
Suppose 0*k - 1/2*k**5 - 7/2*k**2 + 3/2*k**4 + 1/2*k**3 + 2 = 0. What is k?
-1, 1, 2
Suppose 5*q + 4*k - 33 = 28, q + 5*k = 29. Let m be 6/q - (-3)/9. Factor m - 3*a + 0 + 4*a**2 - 2*a.
(a - 1)*(4*a - 1)
Suppose -102*m + 92*m = 0. Solve m - 1/4*d**4 +