 = 0.
-1/80
Suppose 17/2 - 9*o + 1/2*o**2 = 0. Calculate o.
1, 17
Let f(x) be the third derivative of -2*x**7/735 + 26*x**6/105 - 306*x**5/35 + 2890*x**4/21 - 9826*x**3/21 - 2*x**2 - 11*x. Suppose f(y) = 0. What is y?
1, 17
Factor 68*d**3 - 25*d**3 + 0*d**2 - 51*d**3 - 2*d**2.
-2*d**2*(4*d + 1)
Let d(q) be the second derivative of -1/3*q**4 - 1/10*q**5 - 1/3*q**3 + 0 + 0*q**2 + q. Factor d(x).
-2*x*(x + 1)**2
Let x = 8378/10385 - 14/2077. Solve 0*o - x*o**3 + 0 + 2/5*o**2 + 2/5*o**4 = 0.
0, 1
Let p = -12 + 7. Let a be (-12)/10*(p + 0). Factor 5*s**2 - 3*s**2 - 2*s**2 + a*s**2 - 2*s - 8.
2*(s + 1)*(3*s - 4)
Let g(d) be the third derivative of d**8/1008 + d**7/315 - d**6/40 - d**5/90 + d**4/9 + d**2 - 17*d. Find l such that g(l) = 0.
-4, -1, 0, 1, 2
Let u(g) = -17*g**2 + 192*g - 199. Let v(n) = 4*n**2 - 46*n + 50. Let k(w) = 2*u(w) + 9*v(w). Factor k(d).
2*(d - 13)*(d - 2)
Factor 7*c**2 + 15*c + 25*c**2 - 21*c - 100 + 4*c**2 - 54*c - 4*c**3.
-4*(c - 5)**2*(c + 1)
Let g(a) be the second derivative of a**4/3 + 20*a**3/3 + 50*a**2 - 85*a - 1. Determine p so that g(p) = 0.
-5
Let y be (8/2 + 15/(-4))*8. Suppose 3*i**5 + 5*i**4 - 14*i**4 + 14*i**y - 17*i**2 + 9*i**3 = 0. Calculate i.
0, 1
Let l = -1 + -8. Let s = 10 + l. Let w(t) = -18*t**3 + 36*t**2 - 6*t - 9. Let n(m) = -m**3 - m + 1. Let h(u) = s*w(u) + 3*n(u). Suppose h(q) = 0. What is q?
-2/7, 1
Let d be 3 - 9 - -1*(2 + 1). Let o(m) = -m**3 + m**2 - 1. Let t(y) = -y**4 + 3*y**3 - 2*y**2 + 3. Let j(b) = d*o(b) - t(b). Factor j(v).
v**2*(v - 1)*(v + 1)
Let h(p) be the first derivative of 0*p + 1/18*p**3 - 1/180*p**5 - 5 + 0*p**4 + 2*p**2. Let i(v) be the second derivative of h(v). Let i(r) = 0. Calculate r.
-1, 1
Let g(y) = -15*y**4 - 16*y**3 + 39*y**2 - 13*y. Let b(a) = 8*a**4 + 8*a**3 - 20*a**2 + 6*a. Let x(d) = 5*b(d) + 2*g(d). Factor x(l).
2*l*(l - 1)*(l + 2)*(5*l - 1)
Let o = -20 - -21. Suppose -14 = -5*q + o, 4*q + 12 = 4*n. Solve 3*d + 9*d**2 + d - 7*d**2 - n = 0 for d.
-3, 1
Let i(k) = -8*k**3 + 102*k**2 - 403*k + 255. Let q(h) = -2*h**3 + 26*h**2 - 100*h + 64. Let c(s) = 4*i(s) - 18*q(s). Factor c(r).
4*(r - 11)*(r - 3)*(r - 1)
Solve 2/9*q**2 + 110/9 - 32/9*q = 0 for q.
5, 11
Let r(g) be the third derivative of -g**5/60 + g**4/12 - 249*g**2. Solve r(d) = 0 for d.
0, 2
Let 18/5 - 4*k + 2/5*k**2 = 0. Calculate k.
1, 9
Let s(p) be the second derivative of p**5/40 - p**4/12 - p**3/4 + 4*p + 5. Factor s(a).
a*(a - 3)*(a + 1)/2
Let z be ((-2)/(-6))/((-10)/(-90)). Let n be (-2 + 7/z)*6. Factor 4*t**2 - 4*t**n + 4*t**3 - t**2.
t**2*(4*t - 1)
Suppose 7*t - 30 = t. Factor 33*v - 78*v**3 - 6*v + 75*v**t + 14*v**4 + 46*v**4 - 36*v**2.
3*v*(v + 1)**2*(5*v - 3)**2
Suppose -77976/5*x - 2963088/5 - 684/5*x**2 - 2/5*x**3 = 0. What is x?
-114
Let o(q) be the second derivative of q**7/14 - 7*q**6/10 + 12*q**5/5 - 3*q**4 + 28*q. Solve o(w) = 0 for w.
0, 2, 3
Let u(r) be the second derivative of r**7/21 + 4*r**6/15 - 3*r**5/10 - 7*r**4/3 - 8*r**3/3 + 196*r. Factor u(n).
2*n*(n - 2)*(n + 1)**2*(n + 4)
Let a = -3827 + 3925. Suppose a*i**3 - 84/5*i**2 + 16/5 - 72/5*i = 0. What is i?
-2/5, 2/7
Let w(p) = -p**2 - 14*p - 5. Let y(i) = -i**2 - 1. Let o(k) = -w(k) + 2*y(k). Let x be o(5). What is g in 6*g**2 + 11*g + 13*g - 3*g**2 + x = 0?
-4
Let i(t) = 4*t**3 + 754*t**2 + 46123*t + 953322. Let p(m) = -6*m**3 - 1132*m**2 - 69184*m - 1429984. Let z(k) = 8*i(k) + 5*p(k). Factor z(a).
2*(a + 62)**3
Factor 32/3 + 98/3*s + 4/3*s**3 + 70/3*s**2.
2*(s + 1)*(s + 16)*(2*s + 1)/3
Let y(q) be the second derivative of -65*q**4/4 - 63*q**3/2 + 3*q**2 - 305*q. Solve y(r) = 0 for r.
-1, 2/65
Solve 0 + 27*u**2 + 58*u - 302*u**3 + 12*u**2 + 13*u**2 - 528*u**4 - 224*u**5 - 12 + 20*u**2 = 0.
-1, -6/7, 1/4
Suppose -25 = -4*h + k, 0*k + 2 = -2*k. Suppose -n + 4*d + h + 10 = 0, 3*n - 20 = 5*d. Factor 1/2*j**4 - j**3 + 0*j + 1/2*j**2 + n.
j**2*(j - 1)**2/2
Let d = -1367/9 - -152. Let i(p) be the second derivative of 4/63*p**7 - d*p**6 + 0*p**2 + 0*p**4 + 0*p**3 + 0 - 3*p + 1/30*p**5. Factor i(u).
2*u**3*(u - 1)*(4*u - 1)/3
Let r(x) be the third derivative of -1/150*x**5 + 0 + 0*x - 1/30*x**4 - 13*x**2 + 1/5*x**3. Factor r(a).
-2*(a - 1)*(a + 3)/5
Let p(i) be the third derivative of -1/120*i**6 + 1/24*i**4 + 0 + 0*i + 6*i**2 + 0*i**5 + 0*i**3. Determine u, given that p(u) = 0.
-1, 0, 1
Suppose -4*m + 3*g + 1 = 0, 0 = 4*m - 5*m + 5*g - 21. Let l(s) be the second derivative of -2/3*s**3 - 1/3*s**m + 0*s**2 + 0 + 8*s. Solve l(t) = 0 for t.
-1, 0
Let d = 1653 - 1650. Determine k so that 3/2*k + 0 - d*k**2 = 0.
0, 1/2
Let m(h) = -h**5 - h**4 - h**2 - h - 1. Let p(f) = -2*f**5 + 12*f**4 + 48*f**3 + 64*f**2 + 42*f + 8. Let t(c) = 4*m(c) - p(c). Factor t(z).
-2*(z + 1)**3*(z + 2)*(z + 3)
Let i(j) be the second derivative of -j**6/60 + j**5/8 + j**4/6 - 5*j**3/3 - 8*j - 2. Factor i(c).
-c*(c - 5)*(c - 2)*(c + 2)/2
Suppose 0 = -73*m - 68*m + 564. Find d such that -2/5*d**2 + 1/5*d + 0 - 4/5*d**m - 7/5*d**3 = 0.
-1, 0, 1/4
Suppose -3*r - v + 2 - 3 = 0, 2*r - v + 9 = 0. Let t(m) = -24*m**3 - 30*m**2 + 6*m + 8. Let j(b) = b**2 - b. Let n(f) = r*j(f) - t(f). Factor n(a).
4*(a + 1)*(2*a - 1)*(3*a + 2)
Let p(r) = 25*r - 25. Let j be p(1). Factor -5/2*a**3 + a - 3/2*a**2 + j.
-a*(a + 1)*(5*a - 2)/2
Let f(w) be the first derivative of w**6/75 - w**5/25 + 2*w**3/15 - w**2/5 - 17*w - 18. Let b(n) be the first derivative of f(n). Find q, given that b(q) = 0.
-1, 1
Determine c, given that 12/17 - 2/17*c**2 + 2/17*c = 0.
-2, 3
Let w(s) be the third derivative of -2*s**7/105 + 43*s**6/30 - 41*s**5/15 - 43*s**4/6 + 28*s**3 + 291*s**2. Solve w(t) = 0 for t.
-1, 1, 42
Let x be (0 + -1)*(-3 + 4)*-5. Solve -3*j**4 + 3*j**x + 44 - 86 + 42 - 9*j**3 + 6*j + 3*j**2 = 0 for j.
-1, 0, 1, 2
Let o be 2 - ((-2)/(-6) + (-11)/33). Let r(m) be the third derivative of 0 - 1/390*m**5 - 5*m**o - 4/39*m**3 - 1/39*m**4 + 0*m. Factor r(a).
-2*(a + 2)**2/13
Let y(x) = -18*x**2 - 16*x + 30. Let n(c) = -c**3 - c**2 + c + 3. Let v(t) = -2*n(t) - y(t). Factor v(a).
2*(a - 1)*(a + 2)*(a + 9)
Suppose 5*d + 19 = 99. Factor -4 - 125*m**2 + 80*m - d + 7*m**5 - 2*m**5 - 35*m**4 + 128*m**3 - 33*m**3.
5*(m - 2)**2*(m - 1)**3
Let d(j) be the second derivative of j**7/336 - j**6/40 - 13*j**5/80 - j**4/8 + 25*j**3/48 + 9*j**2/8 - 297*j. Find q, given that d(q) = 0.
-2, -1, 1, 9
Let x(d) = 2*d**3 - 3*d**2 - d + 4. Let g be x(3). Suppose 9*l - g = -5*l. Factor 121/2*h**2 + 22*h + l.
(11*h + 2)**2/2
Suppose -4*p = 4*u + 4, 0 = p - 1 + 4. Let w be u*((-3)/(-1) + (-96)/33). Find d, given that 6/11 + 4/11*d - w*d**2 = 0.
-1, 3
Let c be 3/7 - (-4 - 2210/(-28)). Let p = c - -75. Factor -d + 1/2*d**2 + p.
(d - 1)**2/2
Let d(m) be the second derivative of 6*m + 16/3*m**3 + 7/3*m**4 + 0 - 32*m**2 + 1/5*m**5. Suppose d(n) = 0. What is n?
-4, 1
Let a(b) be the first derivative of 5*b**4/4 + 490*b**3/3 + 965*b**2/2 + 480*b + 181. Factor a(h).
5*(h + 1)**2*(h + 96)
Let d(w) be the second derivative of w**5/210 + w**4/42 - 2*w**2 + 15*w. Let s(n) be the first derivative of d(n). Factor s(u).
2*u*(u + 2)/7
Let h be (-78)/(-42) - (-1)/7. Suppose t + h*t - 5*f - 6 = 0, 4*f = 0. Find u such that -u - u**t + 3*u**4 + u**3 + 0*u**4 - 2*u**4 = 0.
-1, 0, 1
Let l(p) be the first derivative of 3/2*p**4 + 0*p - 5/3*p**6 + 1 + 14/5*p**5 + 2*p**2 - 14/3*p**3. Let l(f) = 0. Calculate f.
-1, 0, 2/5, 1
Factor -1/2*p + 1/4*p**2 + 0.
p*(p - 2)/4
Let n(z) be the first derivative of -4/3*z**3 + 5 - 28*z**2 - 196*z. Find g, given that n(g) = 0.
-7
Let 4*l**2 - 122*l + 134*l - 2*l**2 = 0. What is l?
-6, 0
Let r(x) be the first derivative of x**6/2 + 91*x**5/25 + 57*x**4/10 - 68*x**3/15 - 12*x**2 - 32*x/5 - 237. Suppose r(b) = 0. What is b?
-4, -2, -2/3, -2/5, 1
Suppose 3*p + 256 = u + 4*p, -520 = -2*u - 4*p. Let t be ((-48)/u)/(6/(-14)). Solve -10/9*m**2 + t*m + 2/3*m**3 + 0 = 0.
0, 2/3, 1
Let r(t) be the third derivative of 27*t**2 - 1/16*t**3 + 1/96*t**4 + 0*t + 0 + 1/480*t**5. Factor r(k).
(k - 1)*(k + 3)/8
Suppose 23*c = 24*c - 6. Let s(r) be the third derivative of 0*r + 0 + 1/36*r**4 + 3*r**2 + 0*r**3 + 0*r**5 - 1/180*r**c. Factor s(g).
-2*g*(g - 1)*(g + 1)/3
Find g such that 0 - 5*g**2 - 7/4*g**4 - 1/4*g**5 - 9/2*g**3 - 2*g = 0.
-2, -1, 0
Suppose 0 = -5*a + 35 - 10. Let d(h) = 3*h**2 - 3*h. Let b(i) be the first derivative of -