 of 29 + 1/13*f**2 + 2/39*f**3 - 1/26*f**4 - 2/13*f. Factor t(v).
-2*(v - 1)**2*(v + 1)/13
Let x(v) be the first derivative of -v**6/27 - 4*v**5/45 + 7*v**4/9 - 16*v**3/27 - 13*v**2/9 + 20*v/9 - 45. Determine g so that x(g) = 0.
-5, -1, 1, 2
Determine h so that 640*h**3 + 600*h**4 - 4/3 - 238/3*h - 3478/3*h**2 = 0.
-2, -1/30, 1
Let x = -385 - -1926/5. Factor -3/5 + 2/5*m - 2/5*m**3 - x*m**4 + 4/5*m**2.
-(m - 1)**2*(m + 1)*(m + 3)/5
Let j(m) be the third derivative of m**5/120 + m**4/16 - 3*m**3/2 + 9*m**2. Factor j(q).
(q - 3)*(q + 6)/2
Let s(h) = h**3 - 5*h**2 - 93*h - 396. Let g(m) = -2*m**2 + m. Let c(r) = 15*g(r) - 5*s(r). Factor c(n).
-5*(n - 11)*(n + 6)**2
What is y in -22*y**2 + 32*y + 4*y**4 + 3*y**3 - 11*y**3 + 10*y**2 - 16 = 0?
-2, 1, 2
Let a be 3 + 1 + -3 + 1. Solve w - w**2 - w**4 - w + 2*w + 4*w**a = 0.
-1, 0, 2
Factor 276*c**2 + 2/11*c**4 - 5624/11*c - 152/11*c**3 + 2738/11.
2*(c - 37)**2*(c - 1)**2/11
Let d(c) be the third derivative of c**6/40 - 11*c**5/20 + 19*c**4/8 - 9*c**3/2 - 13*c**2 + 2*c. Factor d(u).
3*(u - 9)*(u - 1)**2
Let c be 366/2989*(-28)/(-6). Determine s so that 0 + 0*s + 2/7*s**4 + 0*s**2 - c*s**3 = 0.
0, 2
Let h(r) be the third derivative of -r**6/24 - 7*r**5/4 - 65*r**4/8 - 95*r**3/6 - 7*r**2 + 2. Factor h(c).
-5*(c + 1)**2*(c + 19)
Let x(j) = -23*j - 136. Let w be x(-6). Let l(h) be the third derivative of 7/150*h**5 - 1/30*h**4 + 0*h - w*h**2 + 0 + 0*h**3 - 1/60*h**6. Factor l(m).
-2*m*(m - 1)*(5*m - 2)/5
Let o = 14 - 10. Let l(x) = x**3 - 5*x**2 + 7*x - 5. Let h be l(o). What is r in -2*r**4 - 2*r**2 - h*r**3 + 6*r**3 + 5*r**3 = 0?
0, 1
Let n(o) = 2*o + 39. Let f be n(-20). Let b(i) = 2*i**4 + 12*i**3 + 24*i**2 + 24*i + 6. Let u(q) = q. Let l(g) = f*b(g) + 4*u(g). Factor l(d).
-2*(d + 1)**3*(d + 3)
Let r(y) = -3*y**5 + 2*y**4 - y**3 - y**2 - 3*y - 6. Let s(c) = -c**4 - c - 2. Let w(b) = -5*r(b) + 15*s(b). Factor w(h).
5*h**2*(h - 1)**2*(3*h + 1)
Suppose 3*n - 2*n = 0, 2*x + 4*n = 4. Let b(f) be the first derivative of 7 + 0*f + 0*f**3 - 2*f**4 + 16/5*f**5 - f**6 + 0*f**x. Factor b(q).
-2*q**3*(q - 2)*(3*q - 2)
Let x(v) be the second derivative of 0 - 16/5*v**5 - 13/3*v**4 + 12*v - 8/21*v**7 + 34/15*v**6 - 8*v**2 + 40/3*v**3. Determine h so that x(h) = 0.
-1, 1/4, 1, 2
Let c = 154 + -635/4. Let a = c + 5. Factor a*h**3 + 0*h + 0 + 0*h**2.
h**3/4
Let w(t) = 5*t**3 + 23*t**2 + 11*t - 13. Let s(h) = 2*h**3 + 11*h**2 + 5*h - 6. Suppose 12*z + 30 = 17*z. Let f(p) = z*w(p) - 13*s(p). What is i in f(i) = 0?
0, 1/4, 1
Let i(g) = -3*g**2 - 1. Let o(d) = -3*d**3 + 24*d**2 - 72*d + 47. Let r(w) = i(w) - o(w). Solve r(q) = 0.
1, 4
Let y = 540 + -540. Let s(n) be the third derivative of 1/9*n**3 + y + 0*n + 1/24*n**4 + 1/180*n**5 - n**2. What is c in s(c) = 0?
-2, -1
Let m(k) = -2*k**4 + 18*k**3 - 16*k**2 - 4. Let w(z) = 3*z**4 - 19*z**3 + 16*z**2 + 5. Let x(g) = -5*m(g) - 4*w(g). What is o in x(o) = 0?
-8, 0, 1
Let d(z) be the third derivative of z**6/120 + z**5/60 + 7*z**2. Let t(k) = -4*k**3 - 3*k**2 + k. Let v(n) = 3*d(n) + t(n). Factor v(c).
-c*(c - 1)*(c + 1)
Suppose -3*w = w + 8. Let h(g) = g**2 + 2*g + 2. Let s be h(w). Determine o so that 4*o + 2 + 6*o**2 - 2*o**s + 6 + 8*o = 0.
-2, -1
Let b be (-11*56/154)/((-4)/2*1). Factor 9 + 3*n + 1/4*n**b.
(n + 6)**2/4
Let t(c) be the first derivative of -7*c**5/10 + 5*c**4/6 + 2*c**3/3 - 2*c + 8. Let i(k) be the first derivative of t(k). Factor i(o).
-2*o*(o - 1)*(7*o + 2)
Let d(k) be the third derivative of k**6/900 - k**5/45 - 67*k**2. Suppose d(i) = 0. What is i?
0, 10
Let k = -26/15 - -253/120. Suppose -9/8*t**3 + 9/8*t + k*t**2 + 3/8*t**4 - 3/4 = 0. What is t?
-1, 1, 2
Let b(t) = 3*t**3 + 4*t**2 + 2*t - 8. Let z = -18 - -24. Let u(f) = 5*f**3 + 9*f**2 + 3*f - 16. Let r(v) = z*u(v) - 11*b(v). Factor r(d).
-(d - 2)**2*(3*d + 2)
Suppose 3/4*p**2 + 3/4*p + 0 = 0. What is p?
-1, 0
Let z be (-80)/(-30)*(4 - 3). Let o(r) be the first derivative of -2*r**2 - r**4 - z*r**3 + 0*r + 1. Let o(n) = 0. What is n?
-1, 0
Let i(g) be the third derivative of -g**9/30240 + g**8/13440 + g**7/2520 + 5*g**4/8 - 24*g**2. Let s(w) be the second derivative of i(w). Factor s(q).
-q**2*(q - 2)*(q + 1)/2
Let l be 2 + 77/(-35) - (-23)/15. Factor -40/9*b + l*b**2 + 2*b**3 + 16/9.
2*(b + 2)*(3*b - 2)**2/9
Suppose 13 = -w + 17. Let k(x) be the second derivative of 3*x + 0 + 1/6*x**w - 3/2*x**2 - 1/6*x**3. Factor k(f).
(f + 1)*(2*f - 3)
Let c(u) be the first derivative of -u**5/5 + u**4/2 + u**3 - 4*u**2 + 4*u + 63. Let c(o) = 0. What is o?
-2, 1, 2
Let k be (150/18 - 9)*(-42)/4. Let w be (-2)/(-5) - (572/80 - k). Suppose -9/4 + 3/2*m - w*m**2 = 0. What is m?
3
Let r be (-6)/32*(16 - 32). Factor 3/7*c**r + 3/7*c**2 - 3/7*c - 3/7*c**4 + 0.
-3*c*(c - 1)**2*(c + 1)/7
Let u = 1/1235 - -1187/59280. Let w(g) be the third derivative of -1/120*g**5 - u*g**4 + 0*g**3 - 7*g**2 + 0*g + 1/420*g**7 + 0 + 1/240*g**6. Factor w(s).
s*(s - 1)*(s + 1)**2/2
Suppose -3*q + 2 = -10. Suppose 0 = 2*z + 2*w - q*w - 2, 3*z - 8 = -2*w. Solve -5*x**5 - 4*x**2 + z*x**4 + 5*x**5 - 2*x**3 + x + x**5 + 2 = 0.
-2, -1, 1
Let z(r) = -1350*r**2 - 363*r - 21. Let s(m) = -193*m**2 - 52*m - 3. Let c(d) = -15*s(d) + 2*z(d). What is y in c(y) = 0?
-1/5, -1/13
Suppose -o + 8*s = -4*o + 3*s, -4*o - s = 0. Suppose -10/3*m**3 - 2/3*m**5 + o*m + 4/3*m**2 + 0 + 8/3*m**4 = 0. Calculate m.
0, 1, 2
Let r(q) = -8*q**2 + 81*q - 10. Let f be r(10). Let m(i) be the second derivative of -2*i**2 + f - 1/48*i**4 - 2*i + 1/3*i**3. Factor m(x).
-(x - 4)**2/4
Let o(f) = -f + 2. Let a(b) = 150*b**2 - 144*b - 16. Let y(k) = a(k) + 10*o(k). Factor y(q).
2*(q - 1)*(75*q - 2)
Let s = 1458 + -1455. Factor 8/3*f**s - 5*f**2 - 1/3*f**4 + 16/3 - 8/3*f.
-(f - 4)**2*(f - 1)*(f + 1)/3
Let c(k) be the first derivative of -k**9/3780 + k**8/1050 - k**7/1050 + 8*k**3/3 + 13. Let i(v) be the third derivative of c(v). Let i(d) = 0. Calculate d.
0, 1
Let l be 1/(-2)*-2 - -3. Let z be (4 + -3)/1*30/6. Solve l*h**2 - z*h**2 - 14 + 15 = 0.
-1, 1
Let h be (37/(-21))/(40/(-8)). Let p = h - -1/21. Let 6/5*g**3 - p*g - 4/5*g**2 + 0 = 0. Calculate g.
-1/3, 0, 1
Let k(d) be the first derivative of -2*d**5/55 + 21*d**4/22 - 26*d**3/11 + 19*d**2/11 - 66. Factor k(o).
-2*o*(o - 19)*(o - 1)**2/11
Let s(v) be the third derivative of v**8/224 - v**7/70 - 9*v**6/80 + v**5/20 + v**4/2 - 8*v**2 + 2. Let s(w) = 0. Calculate w.
-2, -1, 0, 1, 4
Let q(g) = 4*g + 41. Let w be q(-24). Let m = w + 58. Factor 1/3*c**2 + m - 2*c.
(c - 3)**2/3
Let k(i) = -4*i - 6. Let v be k(-2). Suppose v = 3*u - 2*u. Factor z**5 + 2*z**4 - u*z**5 + 4*z**5 - 5*z**5.
-2*z**4*(z - 1)
Factor -26*u**4 + 490*u + 385*u**2 + 31*u**4 - 33*u**3 + 113*u**3.
5*u*(u + 2)*(u + 7)**2
Suppose -4*j + 8 = -0*j, 2*j - 30 = 2*m. Let u = m + 15. Let 28*f**2 + 9*f - 3*f + u*f = 0. What is f?
-2/7, 0
Let j(p) be the second derivative of -p**4/30 + 5*p**3/3 - 46*p**2/5 - 25*p. Solve j(o) = 0.
2, 23
Let m(z) be the second derivative of z**6/30 - z**5/10 - z**4/12 + z**2 - 5*z. Let f(h) = 3*h**3 - 3. Let s(w) = -2*f(w) - 3*m(w). Solve s(c) = 0 for c.
-1, 0, 1
Suppose -82*f = -83*f. Suppose 0*m + m - 7 = -2*p, 3*m + 3 = f. Factor 2/7*t**p + 0*t + 4/7*t**3 + 2/7*t**2 + 0.
2*t**2*(t + 1)**2/7
Suppose 56 + 104 = 8*s. Let j(q) = 3*q**4 + 2*q**3 + 5*q**2 + 6*q. Let f(o) = o**4 + o**3 + o**2 + o. Let i(r) = s*f(r) - 5*j(r). Solve i(z) = 0 for z.
-2, -1, 0, 1
Let z = -2993 - -20953/7. Factor -2/7*g**5 + 4/7*g**3 + 0*g**2 - z*g + 0*g**4 + 0.
-2*g*(g - 1)**2*(g + 1)**2/7
Let a(v) be the second derivative of 1/90*v**5 - 10*v + 2744/9*v**2 + 0 + 196/9*v**3 + 7/9*v**4. Find n, given that a(n) = 0.
-14
Let b be 432/36 - (4 - (-16)/(-6)). What is h in 28/3*h**3 + 80/3*h + 4/3*h**4 + b + 24*h**2 = 0?
-2, -1
Let g = -18119 + 199313/11. Determine n so that 0 - g*n - 2/11*n**2 = 0.
-2, 0
Let j(v) be the third derivative of v**7/945 - v**6/135 - v**5/270 + v**4/27 - 4*v**2 + 4*v. Factor j(l).
2*l*(l - 4)*(l - 1)*(l + 1)/9
Let h(x) be the second derivative of -x**5/120 - x**4/18 + x**3/3 - 52*x. Find j such that h(j) = 0.
-6, 0, 2
Let b(r) be the first derivative of -r**6/48 + r**5/5 - 5*r**4/8 + 2*r**3/3 - 720. Let b(o) = 0. What is o?
0, 2, 4
Let b = -20 - -26. Let z = b + 6. Factor -12*a**4 + 4*a + 3 + 2 - z*a**3 + 11*a + 6*a**2 - 3*a**5 + 1.
-3*(a - 1)*(