3.
-4*o**2*(o - 1)*(o + 2)
Let a(g) be the second derivative of g**7/1400 - g**6/600 + 5*g**3/6 + 11*g. Let m(h) be the second derivative of a(h). Factor m(o).
3*o**2*(o - 1)/5
Let s(k) be the second derivative of k**5/5 + 14*k**4/3 + 6*k**3 - 648*k**2 - 42*k. Factor s(b).
4*(b - 4)*(b + 9)**2
Let v(k) = -3*k**3 - 30*k**2 - 15*k + 48. Let n(y) = 20*y**3 + 210*y**2 + 105*y - 335. Let g(p) = 2*n(p) + 15*v(p). Solve g(o) = 0 for o.
-5, -2, 1
Factor 1096/7*b - 75076/7 - 4/7*b**2.
-4*(b - 137)**2/7
Suppose -2*l + 56 = 404. Let z = 176 + l. Factor -51*v + 3 + 867/4*v**z.
3*(17*v - 2)**2/4
Let v(a) = a**2 - 4*a + 3. Let w(y) = -2*y**2 + 4*y - 2. Suppose 0 = 4*o - 6 - 2. Let h be (2 + o)/((-4)/4). Let r(c) = h*v(c) - 3*w(c). Factor r(q).
2*(q - 1)*(q + 3)
Determine h so that -16/9*h - 2/9*h**4 + 4/9*h**3 + 0 + 8/9*h**2 = 0.
-2, 0, 2
Find w, given that 4/5 + 6/5*w - 2/5*w**3 + 0*w**2 = 0.
-1, 2
Suppose -7*v - 3 = -6*v. Let c(z) = -z**3 - 3*z**2 - z + 1. Let g be c(v). Find a such that a**4 + 8*a**4 - a**4 - 6 + 15*a - 3*a**2 - 15*a**3 + a**g = 0.
-1, 2/3, 1
Factor -1/4*s**3 + 5/2*s**2 + 3 + 23/4*s.
-(s - 12)*(s + 1)**2/4
Let a(h) be the first derivative of -6*h**3 + 3 - 3/20*h**5 - 3/2*h**4 - 12*h**2 + 3*h. Let m(r) be the first derivative of a(r). Factor m(n).
-3*(n + 2)**3
Let u(c) be the first derivative of -2*c**6/3 - 52*c**5/5 - 60*c**4 - 448*c**3/3 - 128*c**2 + 185. Solve u(j) = 0.
-4, -1, 0
Let v(u) = 4*u**2 + 66*u - 32. Let f be v(-17). Determine l, given that -3/5 - 14/5*l**f + 6/5*l**3 - 1/5*l**5 + 11/5*l + 1/5*l**4 = 0.
-3, 1
Let c be -3*(-30)/(-27)*2/(-8). Suppose -5*p = 6*x - x, 0 = -4*x + 4*p + 16. Determine r so that 1/2*r + 1/3 - c*r**x = 0.
-2/5, 1
Let h(z) = -18*z**3 + 112*z**2 + z - 56. Let b(l) = -9*l**3 + 55*l**2 - 28. Let m(n) = -7*b(n) + 4*h(n). Determine j, given that m(j) = 0.
-2/3, 2/3, 7
Factor 2*r**3 - 9*r**2 + 33*r - 15 - 5*r**3 + 21*r - 27*r.
-3*(r - 1)**2*(r + 5)
Let m(p) be the first derivative of 4*p**5/5 - 2*p**4 + 4*p**3/3 + 41. Solve m(i) = 0.
0, 1
Let s(h) = -2*h**3 - 5*h**2 + 2*h - 3. Let y be s(-3). Solve 2/3*v**2 - 32/3*v**4 - 5*v**3 - 16/3*v**5 + 1/3*v + y = 0 for v.
-1, -1/4, 0, 1/4
Let a = 38 - 32. Suppose -a*j**2 + 3*j**2 + 5*j**2 - 4*j = 0. What is j?
0, 2
Let 3/7*i + 0*i**2 - 1/7*i**3 + 2/7 = 0. What is i?
-1, 2
Suppose 6*z = -3*z + 54. Let b(f) be the first derivative of -z + 16/5*f**5 + 1/3*f**6 + 0*f + 16*f**2 + 12*f**4 + 64/3*f**3. Let b(i) = 0. Calculate i.
-2, 0
Suppose 0 = -4*q + 47 + 13. Let r = q - 13. Factor 0 + 4/3*p + 109/3*p**3 - 42*p**4 + 49/3*p**5 - 12*p**r.
p*(p - 1)**2*(7*p - 2)**2/3
Let g(b) be the third derivative of -b**7/1890 + b**6/1080 - 5*b**4/24 - 26*b**2. Let x(c) be the second derivative of g(c). What is h in x(h) = 0?
0, 1/2
Suppose 2/5*q + 0 + 17/5*q**3 - 19/5*q**2 = 0. What is q?
0, 2/17, 1
Let b(z) be the third derivative of 3*z**6/320 + 11*z**5/160 + 13*z**4/64 + 5*z**3/16 - 65*z**2 - 3*z. Let b(t) = 0. What is t?
-5/3, -1
Let 4*l**2 + 19 + 9 - 28 - 2*l - 2*l**3 = 0. What is l?
0, 1
Let p(j) be the first derivative of -32*j**6/3 + 224*j**5/5 + 95*j**4 - 880*j**3/3 - 248*j**2 - 64*j + 12. Determine t so that p(t) = 0.
-2, -1/4, 2, 4
Let d(r) = 3 - r**3 - 4*r**2 - 3 + 3 - 7*r**2. Let w be d(-11). Suppose 4 + h - 3 - 2*h**3 + h**w - h**2 = 0. Calculate h.
-1, 1
Let b(v) = 0 - 33*v**3 + 2 + 32*v**3 + 4*v**2. Let x be b(4). Factor -111 - q**x + q + 111.
-q*(q - 1)
Let q(o) be the second derivative of o**4/84 + 11*o**3/14 + 36*o. Factor q(c).
c*(c + 33)/7
Let b(m) be the third derivative of m**7/1008 - m**6/72 + m**5/12 - 5*m**4/12 + 12*m**2. Let d(o) be the second derivative of b(o). Factor d(v).
5*(v - 2)**2/2
Find z, given that -32/9 + 16/3*z - 4*z**4 + 56/9*z**2 - 20/3*z**3 = 0.
-2, -1, 2/3
Let q(v) be the second derivative of 2/3*v**3 + 0 + v**2 + 1/6*v**4 + 32*v. Let q(z) = 0. Calculate z.
-1
Suppose 3*j - j = 4. Suppose -5*u + j*r + r = -45, -u - 4 = 2*r. Suppose -2*l**3 + 2*l**2 - 2*l**3 - l**4 - u*l**2 = 0. What is l?
-2, 0
Let b(h) be the second derivative of h**7/210 + h**6/180 - h**5/20 - h**4/6 - 2*h**3/9 + 17*h**2 + 13*h. Let u(k) be the first derivative of b(k). Factor u(g).
(g - 2)*(g + 1)**2*(3*g + 2)/3
Let i(f) = -5*f + 2. Let g be i(-3). Let m = g - 15. Factor y**m - 3 - 2*y**2 + 0*y**2 - 4*y - 1.
-(y + 2)**2
Let i = -31111/7 + 4445. Factor 0 - 12/7*d + i*d**2.
4*d*(d - 3)/7
Let b = -54 + 69. Factor -154*n**2 + 10 - b*n + 157*n**2 + 8.
3*(n - 3)*(n - 2)
Let o(x) be the second derivative of x**6/200 + x**5/50 - x**4/40 - x**3/5 - 8*x**2 + 22*x. Let a(n) be the first derivative of o(n). Find y such that a(y) = 0.
-2, -1, 1
Factor -4/3 - 2/3*u**2 + 3*u.
-(u - 4)*(2*u - 1)/3
Let q = 608 - 3647/6. Let x(c) be the third derivative of q*c**3 + 1/48*c**4 + 0*c + 0 - 7*c**2 - 1/120*c**5. Factor x(p).
-(p - 2)*(p + 1)/2
Let x(b) be the third derivative of b**8/2520 - 4*b**7/1575 - b**6/225 + 17*b**5/225 - b**4/4 + 2*b**3/5 + 2*b**2 + 64*b. Determine j, given that x(j) = 0.
-3, 1, 2, 3
Suppose 13*j + 15*j - 57 = 9*j. Determine g so that -24/5*g + 4/5 - 9/5*g**j + 29/5*g**2 = 0.
2/9, 1, 2
Let s(v) be the second derivative of v**7/21 - v**6/5 - v**5/2 + v**4/2 + 4*v**3/3 + 110*v. Factor s(q).
2*q*(q - 4)*(q - 1)*(q + 1)**2
Let l(h) = -5*h**3 - 9*h**2 - 7*h. Let a(y) = 4*y**3 + 10*y**2 + 8*y. Let t = 7 - 4. Let s(k) = t*a(k) + 2*l(k). Determine m, given that s(m) = 0.
-5, -1, 0
Let c(o) be the first derivative of 4*o**3/21 + 4*o**2/7 - 96*o/7 - 38. Suppose c(k) = 0. What is k?
-6, 4
Let h(b) be the first derivative of -b**4/8 + 7*b**3/3 + b**2/4 - 7*b + 290. Factor h(t).
-(t - 14)*(t - 1)*(t + 1)/2
Let i(g) be the third derivative of -g**9/5040 + g**8/560 - g**7/168 + g**6/120 + g**4/12 + 6*g**2. Let d(r) be the second derivative of i(r). Factor d(s).
-3*s*(s - 2)*(s - 1)**2
Let j(u) be the first derivative of 26 + 1/8*u**4 - u + 0*u**3 - 3/4*u**2. Let j(n) = 0. Calculate n.
-1, 2
Let j = 105/16 + -753/16. Let i = j + 42. Factor -i*g**4 - 3/2 + 0*g + 3*g**2 + 0*g**3.
-3*(g - 1)**2*(g + 1)**2/2
Let d = -107 - -215/2. What is l in 1/4*l**5 + 1/4*l - d*l**3 + 0*l**2 + 0*l**4 + 0 = 0?
-1, 0, 1
Let c(u) be the third derivative of u**8/1848 + 4*u**7/1155 - 3*u**6/55 + 37*u**5/165 - 61*u**4/132 + 6*u**3/11 + 204*u**2 - u. Suppose c(v) = 0. Calculate v.
-9, 1, 2
Let c be ((-315)/100 + 3)*27 + -4. Let l = c + 103/12. Let 8/15*t + 2/15 - l*t**3 - 2/15*t**2 = 0. Calculate t.
-1, -1/4, 1
Let a = 11/68 + 3/34. Let m(n) be the first derivative of -1/2*n**2 - 2*n + 1 + 2/3*n**3 + a*n**4. Determine v so that m(v) = 0.
-2, -1, 1
Factor 33*k**4 - 49 + 108*k**3 - 149*k + 53*k - 5*k**5 - 8*k**2 - 95 + 104*k**2 + 8*k**5.
3*(k - 1)*(k + 2)**3*(k + 6)
Let b(l) be the first derivative of 23/6*l**3 + 4 + 4*l**2 + 2*l + 3/10*l**5 + 7/4*l**4. Factor b(g).
(g + 1)**2*(g + 2)*(3*g + 2)/2
Let u = 1899 - 1897. Let m(p) be the first derivative of -1/12*p**3 + 0*p**4 + 0*p - 10 + 0*p**u + 1/20*p**5. Factor m(l).
l**2*(l - 1)*(l + 1)/4
Let l(k) = 53*k**2 + k + 2. Let r be l(2). Solve -83*o + 55*o + 6*o**4 - 48*o**3 + 324 + r*o**2 - 404*o - 2*o**4 = 0.
3
Let y(b) be the first derivative of 4*b**3/3 + 232*b**2 + 13456*b + 149. Factor y(u).
4*(u + 58)**2
Let x(j) be the first derivative of -j**6/10 + 11*j**4/4 - 9*j**3 + 12*j**2 + 8*j - 17. Let p(g) be the first derivative of x(g). Factor p(t).
-3*(t - 2)*(t - 1)**2*(t + 4)
Let y(w) = -w + 9. Let u be y(-1). Suppose u*n - 41 = 49. Factor 3/2*a**4 + 39/2*a**2 + 18*a + 6 + n*a**3.
3*(a + 1)**2*(a + 2)**2/2
Let s(w) be the second derivative of -w**4/120 + w**3/10 - w**2/4 - 46*w. Solve s(t) = 0 for t.
1, 5
Let w = 17625/8 - 2203. Determine o so that 0 - 1/8*o**2 - w*o = 0.
-1, 0
Let k(a) = 2*a**3 - 4*a**2 + a + 2. Let f be k(2). Find l such that 3*l**2 + 0*l + f*l - 9 + l + l = 0.
-3, 1
Suppose u = -1659*r + 1654*r + 22, 2*r = -2*u + 12. Find c such that -3 - 2*c - 1/3*c**u = 0.
-3
Let f = -13 - -15. Suppose -4*v + 8 + 3*v**2 - 4*v**f - 3*v**2 = 0. What is v?
-2, 1
Let i be (4/13)/(993/39 + -25). Factor i*a**2 + 1/3*a - 2/3 - 1/3*a**3.
-(a - 2)*(a - 1)*(a + 1)/3
Let n = 4437/7 + -4425/7. Let r be 0 + ((-16)/14 - -2). Factor -2/7*s + 20/7*s**2 - r*s**3 - n.
-2*(s - 3)*(s - 1)*(3*s + 2)/7
Let s(g) be the third derivative of -g**8/336 + g**7/70 - g**6/40 + g**5/60