*h**6 - 3/80*h**5 + 0 + 1/280*h**7 + 0*h + 1/6*h**3. Determine a so that d(a) = 0.
-1, 2/3, 2
Factor -2/7*z**3 + 0*z**2 + 4/7 + 6/7*z.
-2*(z - 2)*(z + 1)**2/7
Let u = 32855815 + -101885883215/3101. Let q = -2/443 - u. Suppose -2/7*n - q*n**2 + 0 + 2/7*n**4 + 2/7*n**3 = 0. What is n?
-1, 0, 1
Let n(i) be the third derivative of -i**7/210 + i**6/30 - i**5/10 + i**4/6 - i**3/6 - 3*i**2. Let n(m) = 0. Calculate m.
1
Suppose -13 = 3*s - 19. Determine r, given that -3*r**4 - 18*r**s + 29*r**2 + 3*r**3 - 11*r**2 = 0.
0, 1
Let i(h) be the first derivative of -6/5*h**5 + 0*h**2 + 2 - 1/2*h**6 + 0*h + 0*h**3 - 3/4*h**4. Determine p so that i(p) = 0.
-1, 0
Let q(j) be the third derivative of -j**6/160 + 9*j**5/40 - 27*j**4/8 + 27*j**3 + 50*j**2. Factor q(c).
-3*(c - 6)**3/4
Let v(s) = -s - 4. Let a be v(-7). Let 6*p**a - 5*p**3 + p**2 + 5*p**2 + 20*p**3 + 15*p**4 = 0. What is p?
-1, -2/5, 0
Suppose 52 = 7*u - 4. Let h = 8 - u. Factor h + 2/3*g + 2/3*g**2.
2*g*(g + 1)/3
Factor 0*t - t**2 - 2*t - 4*t**2 + 7*t.
-5*t*(t - 1)
Let p = 9 - 5. Suppose 5*o = p*o. Factor 1/5*v**4 + 0*v**3 + o*v**2 + 1/5*v**5 + 0*v + 0.
v**4*(v + 1)/5
Let k(b) = -2*b**2 - 2*b - 6. Let h(o) = -1. Suppose y = 3*y - 20. Let l(a) = y*h(a) - k(a). Factor l(s).
2*(s - 1)*(s + 2)
Suppose 4*y = -6*s + 3*s + 6, -4*y = 2*s - 8. Let -14*w**5 + 4*w**4 + 24*w**5 - 6*w**2 - 6*w**y + 2*w**2 - 4*w**5 = 0. What is w?
-1, -2/3, 0, 1
Let p(w) be the second derivative of 3*w**7/91 - 4*w**6/195 - 9*w**5/130 + 2*w**4/39 + 23*w. Let p(q) = 0. What is q?
-1, 0, 4/9, 1
Let n be (6/8)/((-115)/20). Let q = 61/115 + n. Solve 2/5*m**2 + 0 + q*m = 0 for m.
-1, 0
Let q = 35 + -139/4. Let f(k) be the first derivative of -1/5*k**3 + 1 + 1/5*k - 2/25*k**5 + 1/10*k**2 - q*k**4. Determine t, given that f(t) = 0.
-1, 1/2
Let x(m) = m**3 + m**2 - m - 1. Let b(n) = 2*n**3 + 8*n**2 - 11*n + 1. Let r(k) = -2*b(k) + 6*x(k). Factor r(g).
2*(g - 2)**2*(g - 1)
Let h(p) be the second derivative of -p**6/30 - 7*p**5/120 - p**4/36 + 20*p. Determine r, given that h(r) = 0.
-2/3, -1/2, 0
Let a be (16/64)/(((-6)/(-16))/3). Factor -3/2 + 3/4*s**a - 3/4*s.
3*(s - 2)*(s + 1)/4
Let d(l) be the first derivative of -1/5*l**5 - 1/2*l**4 + 4 + l + l**2 + 0*l**3. Solve d(x) = 0 for x.
-1, 1
Factor -1/8*n**2 + 0 - 1/8*n.
-n*(n + 1)/8
Let i be 2/(-3) + (-11)/(-3). Factor -14*b**2 - 4*b**3 - b**i - 5*b**3 - 6*b + 2*b**3.
-2*b*(b + 1)*(4*b + 3)
Let q be ((-6)/(-4))/((-1350)/(-3415)). Let r = q - 2/45. Factor r*a - 4*a**3 - 6*a**2 - 1/2.
-(a + 2)*(4*a - 1)**2/4
Let i(v) be the third derivative of -v**8/7560 + v**7/1890 - v**6/1620 + v**3/3 - 3*v**2. Let l(t) be the first derivative of i(t). Suppose l(x) = 0. What is x?
0, 1
Let i(m) be the first derivative of 4*m**3/3 + 6*m**2 + 8*m - 5. Factor i(l).
4*(l + 1)*(l + 2)
Let m(c) be the first derivative of -16*c**5/5 - 10*c**4 - 11*c**3 - 5*c**2 - c + 1. Factor m(h).
-(h + 1)**2*(4*h + 1)**2
Let g(m) be the second derivative of 2*m + 0*m**5 + 0 + 0*m**2 + 1/3*m**3 - 1/900*m**6 + 1/60*m**4. Let p(b) be the second derivative of g(b). Factor p(v).
-2*(v - 1)*(v + 1)/5
Let t(k) be the third derivative of k**7/1050 - k**6/300 + k**5/300 - 5*k**2. Factor t(p).
p**2*(p - 1)**2/5
Suppose -n + 10 = 2*s, -2 = 7*n - 4*n - 2*s. Let w(t) be the third derivative of 0 - 1/270*t**5 + 0*t - 1/27*t**3 - 1/54*t**4 - n*t**2. Factor w(v).
-2*(v + 1)**2/9
Let h(w) = w**3 + 6*w**2 + 2*w + 7. Let l be h(-6). Let b = 7 + l. Find y such that 1/3*y**5 - 1/3 - 2/3*y**3 + 2/3*y**b - 1/3*y**4 + 1/3*y = 0.
-1, 1
Let k(q) = q**2 - 7*q - 6. Let l be k(8). Factor 0 - 5/4*h**3 - 7/4*h**l - 1/2*h.
-h*(h + 1)*(5*h + 2)/4
Let v = 227/3 + -75. Suppose 0 + v*p**2 - 4/3*p = 0. Calculate p.
0, 2
Let c be (-4)/(-6) - (1 + -1). Let p(m) = -44*m + 618. Let n be p(14). Factor -c*q**4 - 2/3*q**5 + 0*q**3 + 0 + 0*q + 0*q**n.
-2*q**4*(q + 1)/3
Determine u so that -2/13*u**3 + 0 - 72/13*u - 24/13*u**2 = 0.
-6, 0
Let j(k) = 7*k**3 - 10*k**2 - 3*k. Let v(f) = -15*f**3 + 21*f**2 + 7*f. Let a(t) = 13*j(t) + 6*v(t). Let a(w) = 0. What is w?
0, 1, 3
Let d = 502/5 + -100. Determine u so that 0 + 2/5*u**2 - d*u**4 + 0*u + 0*u**3 = 0.
-1, 0, 1
Let s be ((-3)/7)/(6 - 27/4). Determine m, given that 2/7*m**4 - 2/7 + 4/7*m**3 + 0*m**2 - s*m = 0.
-1, 1
Factor -3/2*h + 9/4 - 3/4*h**2.
-3*(h - 1)*(h + 3)/4
Let r(k) be the second derivative of 1/24*k**4 + 0 - 1/40*k**6 + 1/8*k**3 - 1/168*k**7 + 1/8*k**2 - 1/40*k**5 - k. Factor r(o).
-(o - 1)*(o + 1)**4/4
Let s(b) be the second derivative of 0*b**3 + 0 - 1/72*b**4 - 2*b + 1/180*b**5 + 1/2*b**2. Let w(r) be the first derivative of s(r). Factor w(f).
f*(f - 1)/3
Suppose 5*s = 3*v + 12 + 6, 2 = s + v. Let j(p) be the second derivative of 3*p - 3/20*p**5 + 0*p**s + 1/6*p**4 + 0*p**2 - 7/15*p**6 + 0. Solve j(z) = 0 for z.
-1/2, 0, 2/7
Factor 0 + 3/7*w**4 + 3/7*w**3 - 3/7*w**2 - 3/7*w.
3*w*(w - 1)*(w + 1)**2/7
Let g = 1381 - 5521/4. What is d in -1/2*d - 1/4*d**2 + g = 0?
-3, 1
Let r(j) be the first derivative of j**6/3 - 53*j**5/40 + 7*j**4/6 - j**3/3 - 7*j + 6. Let l(d) be the first derivative of r(d). Solve l(a) = 0 for a.
0, 1/4, 2/5, 2
Let z be (-11)/(-5) + (-1)/5. Let y be ((4 - 2) + -3)/(-5). Find r, given that 2/5*r**z + y*r**3 - 1/5*r - 2/5 = 0.
-2, -1, 1
Let b be (20/(-16))/(2/(-8)). Factor 0*l**5 - 2*l**5 - 6*l**2 - 2*l**b + l**5 + 6*l**4 + 3*l.
-3*l*(l - 1)**3*(l + 1)
Let v(c) = -3*c**5 - c**4 + 3*c**3 - 3*c**2 - 2*c + 2. Let h(t) = -t**5 - t**4 + t**3 - t**2 - t + 1. Let n(k) = -2*h(k) + v(k). Factor n(p).
-p**2*(p - 1)**2*(p + 1)
Let h(a) be the second derivative of -2/45*a**6 + 0*a**5 + 1/9*a**4 + 0 + 0*a**3 + 0*a**2 - 3*a. Factor h(b).
-4*b**2*(b - 1)*(b + 1)/3
Let b be 6/(-2)*112/(-21). Let m = -14 + b. Let -3*c**3 - 5/3*c**m + 7/3*c**4 - 2/3 + 3*c = 0. What is c?
-1, 2/7, 1
Let z be (2/6)/((-1)/(-3)). Let p be 0/(-25)*(0 + z). Factor 0 + p*u**4 + 4/7*u**3 - 2/7*u**5 + 0*u**2 - 2/7*u.
-2*u*(u - 1)**2*(u + 1)**2/7
Factor 4/13*t - 2/13*t**2 - 2/13.
-2*(t - 1)**2/13
Let r be (-2)/(400/(-542)) + -3. Let q = -1/25 - r. Suppose -1/4*d**3 + q*d**2 - 1/4 + 1/4*d = 0. What is d?
-1, 1
Let p(g) be the third derivative of 1/20*g**6 + 0 + 3*g**2 + 1/168*g**8 + 1/30*g**5 + 1/35*g**7 + 0*g**3 + 0*g + 0*g**4. Solve p(j) = 0 for j.
-1, 0
Determine r so that -3 - 3/2*r**3 + 9/2*r + 0*r**2 = 0.
-2, 1
Let q(p) = 11*p**3 + 67*p**2 + 293*p + 379. Let h(v) = -6*v**3 - 33*v**2 - 147*v - 189. Let z(a) = 5*h(a) + 3*q(a). Factor z(o).
3*(o + 4)**3
Let k(n) = n**3 + 2*n**2 - 3*n - 3. Let b be k(-2). Factor -f**4 + 2*f - 2*f**b - f**2 - f**2 + 3*f**4.
2*f*(f - 1)**2*(f + 1)
Let a(s) be the first derivative of s**3/9 + 5*s**2/6 + 4*s/3 + 10. Factor a(n).
(n + 1)*(n + 4)/3
Let n(q) be the second derivative of -5*q**7/42 - q**6/2 - 3*q**5/4 - 5*q**4/12 - 20*q. Factor n(v).
-5*v**2*(v + 1)**3
Let n(o) be the second derivative of o**8/6720 + o**7/3360 - o**6/1440 - o**5/480 + 2*o**3/3 - 3*o. Let c(u) be the second derivative of n(u). Factor c(v).
v*(v - 1)*(v + 1)**2/4
Let d(u) be the third derivative of 4*u**7/105 - u**6/4 + 25*u**4/12 + 2*u**3 + 32*u**2. Let d(k) = 0. What is k?
-1, -1/4, 2, 3
Let o(p) be the first derivative of -1/6*p**4 + 1/3*p + 0*p**3 + 1/3*p**2 - 1/15*p**5 - 1. Factor o(s).
-(s - 1)*(s + 1)**3/3
Let k(m) be the first derivative of m**6/1080 + m**5/180 + m**4/72 - m**3 + 6. Let j(x) be the third derivative of k(x). Factor j(v).
(v + 1)**2/3
Let g(h) = -8*h**5 - 17*h**4 - 5*h**3. Let s(d) = -d**5 - d**4 - d**3. Let k(a) = 3*g(a) - 3*s(a). Determine n so that k(n) = 0.
-2, -2/7, 0
Let h(c) be the third derivative of c**9/1512 - c**8/840 - c**7/105 + c**6/45 + 2*c**3/3 - 7*c**2. Let s(k) be the first derivative of h(k). Factor s(q).
2*q**2*(q - 2)*(q - 1)*(q + 2)
Let y(i) be the third derivative of i**6/80 + 7*i**5/240 + i**4/96 + 34*i**2 - i. Let y(h) = 0. What is h?
-1, -1/6, 0
Let q(b) be the first derivative of -4/3*b + 5/3*b**2 - 8/9*b**3 + 1/6*b**4 - 2. Factor q(m).
2*(m - 2)*(m - 1)**2/3
Let s = -6/29 - -53/116. Find p, given that 1/4*p - 1/2*p**2 + s*p**3 + 0 = 0.
0, 1
Suppose -8 = -0*y - 2*y. Determine t, given that 0*t**5 + t**5 - t**4 + 3*t**y = 0.
-2, 0
Let r(b) = -b**5 + 11*b**4 + 7*b**3 - 17*b**2 - 6*b + 11. Let c(t) = 6*t**4 + 3*t**3 - 9*t**2 - 3*t + 6. Let a(m) = -5*c(m) + 3*r(m). Factor a(k).
-3