6/600 - c**5/150 - c**4/30 - 23*c**2. Determine d so that o(d) = 0.
-2, 0, 2
Let d(g) = 14*g**4 - 85*g**3 + 105*g**2 - 44*g + 21. Let k(c) = 3*c**4 - 17*c**3 + 21*c**2 - 9*c + 4. Let y(x) = -4*d(x) + 22*k(x). Factor y(p).
2*(p - 1)**3*(5*p - 2)
Let f(s) be the first derivative of 4*s**5/55 + 3*s**4/22 + 2*s**3/33 - 3. Factor f(i).
2*i**2*(i + 1)*(2*i + 1)/11
Let i = 89/690 - 2/69. Let h(m) be the second derivative of 0*m**4 + 0 - i*m**6 - m**3 + 3/10*m**5 + 2*m + 3/2*m**2. Find k, given that h(k) = 0.
-1, 1
Let l(u) be the first derivative of -u**3/8 - 3*u**2/2 - 6*u - 4. Suppose l(d) = 0. Calculate d.
-4
Let g = -15 + 9. Let y be (g/9)/(2/(-6)). What is l in 6*l**y + 0*l**3 + 2*l**3 - 13 + 5 = 0?
-2, 1
Let n(i) be the third derivative of -i**7/105 + i**6/60 + i**5/10 - 5*i**4/12 + 2*i**3/3 - 11*i**2. Solve n(o) = 0 for o.
-2, 1
Let i = -215 - -1076/5. Suppose 1/5 - 1/5*o**2 - 1/5*o + i*o**3 = 0. Calculate o.
-1, 1
Suppose 7*o + 14 - 49 = 0. Let v(k) be the second derivative of -6*k**3 - 3/20*k**o + 0 + 12*k**2 - 2*k + 3/2*k**4. Factor v(z).
-3*(z - 2)**3
Let d = 4 + -1. Let o be (1 - d) + 2*2. Factor 6*g**3 + 2*g**4 + 5*g + 7*g**2 - g**o - 3*g.
2*g*(g + 1)**3
Let u(r) be the second derivative of 1/10*r**5 - r**2 + 2*r + 0 + r**3 - 1/2*r**4. Factor u(l).
2*(l - 1)**3
Let h(p) = -p**2 - 8*p - 9. Let n(l) = l + 1. Let y(j) = h(j) + 3*n(j). Determine t so that y(t) = 0.
-3, -2
Let b(u) be the third derivative of -u**7/1080 + u**6/240 - u**5/180 - u**4/8 - 2*u**2. Let n(v) be the second derivative of b(v). Suppose n(i) = 0. What is i?
2/7, 1
Factor 375 + 41*s**2 - 150*s - 3*s**4 - 42*s**3 - 233*s**2 + 12*s**2.
-3*(s - 1)*(s + 5)**3
What is j in 1/4*j + 1/2*j**2 - 1/4*j**3 - 1/2 = 0?
-1, 1, 2
Suppose -10*q = -7*q. Let l(s) be the first derivative of q*s**3 + 0*s**2 - 2 + 1/6*s**4 - 7/15*s**5 + 0*s. Factor l(d).
-d**3*(7*d - 2)/3
Determine r so that 6/5*r**3 + 0 + 4/5*r**2 + 0*r - 6/5*r**5 - 4/5*r**4 = 0.
-1, -2/3, 0, 1
Let x be 1 + (2 - (0 + -1)). Let z = -1 + x. Factor z*y**5 + 0*y**2 + y**4 - 4*y**5 + 0*y**2.
-y**4*(y - 1)
Factor -65*y + 5*y**2 - 15 + 5*y**2 - 20.
5*(y - 7)*(2*y + 1)
Let z(j) = -5*j**5 + j**3 - 11*j**2 + 7*j. Let b(i) = 4*i**5 + 10*i**2 - 6*i. Let m(f) = -7*b(f) - 6*z(f). Determine n so that m(n) = 0.
-1, 0, 2
Factor 0*y - 4/5 + 3/5*y**2 + 1/5*y**3.
(y - 1)*(y + 2)**2/5
Factor -5 - 5*r**2 + r**2 - 8*r + 17.
-4*(r - 1)*(r + 3)
Factor -2*a**3 - 2*a**5 - 2*a**4 + a**3 + a**3.
-2*a**4*(a + 1)
Let s = 126 - 124. Factor 0*i - 1/5 + 1/5*i**s.
(i - 1)*(i + 1)/5
Suppose -l + 1 = 2*a, 4*a + 2*l - 6*l + 4 = 0. Solve -2/5*g**4 + a*g**2 + 0 - 2/5*g**3 + 0*g = 0 for g.
-1, 0
Solve c - 1 - 1/4*c**2 = 0 for c.
2
Let x be (-21)/56*8/(-6). Factor k**4 - 1/2*k**5 - x*k**3 + 0*k + 0*k**2 + 0.
-k**3*(k - 1)**2/2
Factor 2/3*r**4 + 0*r - 2/3*r**2 + 0 + 2/3*r**3 - 2/3*r**5.
-2*r**2*(r - 1)**2*(r + 1)/3
Let w(b) be the second derivative of b**5/35 + 2*b**4/21 + 2*b**3/21 + b. Factor w(f).
4*f*(f + 1)**2/7
Let k be 1 + -3 + 32/12. Factor k*f**2 - 4/3 - 2/3*f.
2*(f - 2)*(f + 1)/3
Let s(y) = 20*y**2 + 52*y + 16. Let z(v) = v**2 + v - 1. Let h(b) = -s(b) - 8*z(b). Determine o so that h(o) = 0.
-2, -1/7
Let u(d) = 9*d**5 - 6*d**4 + 15*d**3 + 12*d**2 - 6*d + 6. Let i(c) = c**5 + c**4 + c**3 + c + 1. Let h(p) = -6*i(p) + u(p). Let h(g) = 0. What is g?
-1, 0, 1, 2
Determine w so that 22*w - 1/2*w**4 - 6 - 61/6*w**2 - 16/3*w**3 = 0.
-6, 1/3, 1
Let u(l) be the second derivative of -l**5/80 - l**4/16 - l**3/12 + 4*l. Suppose u(v) = 0. Calculate v.
-2, -1, 0
Solve 2/11*f**4 - 2/11*f**3 - 2/11*f**2 + 0 + 2/11*f = 0 for f.
-1, 0, 1
Factor 8*i**4 - 11*i**3 - 11*i**3 + 3 - 20*i - 6*i**3 + 1 + 36*i**2.
4*(i - 1)**3*(2*i - 1)
Let y(l) be the third derivative of 13*l**6/120 + l**5/15 + 2*l**2. Let i(d) = -3*d**3 - d**2. Let a(w) = 9*i(w) + 2*y(w). Solve a(b) = 0.
-1, 0
Let l(v) = 6*v**3 - 9*v. Let u(n) = -n**3 + n. Let t(s) = -2*l(s) - 10*u(s). Let t(b) = 0. Calculate b.
-2, 0, 2
Let u(d) be the third derivative of d**7/2100 - d**6/900 + d**3/2 - 6*d**2. Let z(w) be the first derivative of u(w). Factor z(a).
2*a**2*(a - 1)/5
Let n(d) be the second derivative of -d**6/9 - 4*d**5/15 - d**4/18 + 2*d**3/9 + 7*d. Factor n(c).
-2*c*(c + 1)**2*(5*c - 2)/3
Suppose -1285 = 3*h - 1291. Factor -4/3*t - 4/3 + t**h.
(t - 2)*(3*t + 2)/3
Solve 48*c - 47*c - 3*c**3 + 2*c**2 + c**5 - c**4 - 1 + c**3 = 0 for c.
-1, 1
Let q(b) be the third derivative of -3*b**7/35 + b**6/4 - 7*b**5/30 + b**4/12 + 71*b**2. Factor q(v).
-2*v*(v - 1)*(3*v - 1)**2
Let f(i) be the first derivative of i**6/600 + i**5/300 - i**4/60 + 2*i**2 - 1. Let b(p) be the second derivative of f(p). Factor b(u).
u*(u - 1)*(u + 2)/5
Let g(f) be the third derivative of -f**6/40 + f**5/20 + f**4/4 + 4*f**2. Let g(y) = 0. What is y?
-1, 0, 2
Suppose 2*y = 3 + 3. What is a in 9*a**3 + 3*a**4 + a**3 - 7*a**3 - 3*a - y*a**2 = 0?
-1, 0, 1
Suppose 5*k + 6 = -9, -3*k - 9 = -5*g. Let u(v) be the third derivative of 0*v**3 + 0 + g*v - 1/420*v**6 - 1/105*v**5 + 2*v**2 + 0*v**4. Factor u(m).
-2*m**2*(m + 2)/7
Let z(k) be the first derivative of k**6/33 - 8*k**5/55 + 3*k**4/11 - 8*k**3/33 + k**2/11 + 42. Factor z(w).
2*w*(w - 1)**4/11
Let u(j) = -2*j**4 - 6*j**3 + j**2 + 7*j + 4. Let l(z) = -z**5 - z**4 - z**3 - z. Let n(d) = -l(d) + u(d). Solve n(v) = 0.
-1, 2
Suppose 3/4*n**2 + 0 - 3/4*n**3 + 0*n = 0. What is n?
0, 1
Let n be (6/(-7))/1*-322. Let p = 1404/5 - n. What is f in 58/5*f**2 + 174/5*f**3 - 10*f**4 - p*f - 8/5 - 30*f**5 = 0?
-1, -2/5, -1/3, 2/5, 1
Let c be ((-4)/6*-1)/((-4)/(-18)). Factor 9/5*a**c + 0 + 0*a - 3/5*a**4 - 6/5*a**2.
-3*a**2*(a - 2)*(a - 1)/5
Let m(x) = 15*x**2 - 44*x + 16. Let s(t) = 90*t**2 - 265*t + 95. Let j(c) = 25*m(c) - 4*s(c). Find v, given that j(v) = 0.
2/3, 2
Suppose 0 = 3*p + p - 24. Let u(d) be the third derivative of 0 + 0*d + 0*d**3 - 1/75*d**5 - 1/300*d**p - 3*d**2 - 1/60*d**4. Suppose u(l) = 0. What is l?
-1, 0
Let n be 6/(((-9)/(-2))/3). Factor 8 - 4 + 4*a + 0 + n*a**2 + 4*a.
4*(a + 1)**2
Let f(s) = -s + 1. Let m be f(-9). Suppose -2*g + m = 3*g. Factor c**5 + 1 + 2*c**3 + 3*c**4 - 3*c - 4 + 2 - g*c**2.
(c - 1)*(c + 1)**4
Let a(j) be the second derivative of 2/75*j**6 + 1/20*j**5 + 1/60*j**4 + 0 + 0*j**2 - 5*j + 0*j**3. Find l such that a(l) = 0.
-1, -1/4, 0
Let r(g) be the first derivative of -g**6/21 - 12*g**5/35 - 13*g**4/14 - 8*g**3/7 - 4*g**2/7 + 11. Factor r(z).
-2*z*(z + 1)**2*(z + 2)**2/7
Find j, given that 3*j - 3/8*j**2 - 9/2 = 0.
2, 6
Let x(w) = w**3 + 5*w**2 + 6*w + 5. Let u be x(-4). Let a be 1/(-3)*(-4 - u). Factor -2/3*l**2 - 1/3*l**3 - a*l + 0.
-l*(l + 1)**2/3
Let i(z) = -13*z**2 + 6*z - 5. Let k(v) = -6*v**2 + 3*v - 2. Let l = 12 - 8. Let r(u) = l*i(u) - 9*k(u). Factor r(y).
(y - 2)*(2*y + 1)
Suppose -2*y = 5*q, 0*q = -5*q + 2*y. Suppose -4 + q = -2*r. Solve -6*m**r + 3*m**2 + 2*m**2 = 0.
0
Let w be 484/16 - 0/(-1). Let b = -30 + w. Let b*a**2 + 0 - 1/4*a = 0. What is a?
0, 1
Let q(u) = 3*u - 3*u - 24 + 16 - 2*u. Let f be q(-4). Factor f*p + 0*p**4 + 0*p**3 + 0*p**2 + 0 - 2/3*p**5.
-2*p**5/3
Let x be (-6)/6*(-2 + 0 - 1). Factor 2/5*i**x + 0 - 2/5*i + 0*i**2.
2*i*(i - 1)*(i + 1)/5
Let h(u) be the first derivative of -u**4/24 - u**3/18 + 6. Let h(k) = 0. Calculate k.
-1, 0
Factor 98/5 + 9/5*d**2 + 1/5*d**4 + 119/5*d - 11/5*d**3.
(d - 7)**2*(d + 1)*(d + 2)/5
Let i(f) be the second derivative of -f**7/189 - f**6/27 - f**5/9 - 5*f**4/27 - 5*f**3/27 - f**2/9 - 5*f. What is h in i(h) = 0?
-1
Let t(o) be the third derivative of -o**6/120 - o**5/15 + 2*o**3/3 - 2*o**2. Let h be t(-4). Factor z**2 - 4*z - h*z**2 + z**2 - 2.
-2*(z + 1)**2
Let -30*u**3 - 12/7 - 75/7*u**4 - 207/7*u**2 - 12*u = 0. Calculate u.
-1, -2/5
Let b(l) be the first derivative of -l**6/900 + l**5/300 - l**3 - 7. Let t(q) be the third derivative of b(q). Factor t(k).
-2*k*(k - 1)/5
Let u be (-1)/(-4) - 33/(-12). Factor -b**2 + 6 + b**2 - 6*b**2 - 3*b + 3*b**u.
3*(b - 2)*(b - 1)*(b + 1)
Let f be -6*(4/3 - (3 - 1)). Factor -1/2*y**f + 0*y**3 + 1/2*y**2 + 0 - 1/4*y + 1/4*y**5.
y*(y - 1)**3*(y + 1)/4
Let v = -481 - -485. Solve -11/3*q**v + 5/3*q + 13/3*q**2 - 2/3 - 4/3*q**5 - 1/3*q**3 = 0.
-2, -1, 1/4, 1
Factor -8/5 + 6/5*v**3 - 2/5*v**2 - 16/5*v.
2*(v - 2)*(v + 1)*(3*v + 2)/5
Let v(m) be the first derivative of -7*m**4 + 