 3*j(d). Factor g(a).
-2*a**2*(a - 2)
Factor 36*x**2 + 0*x**5 + 16*x**3 - 13*x**4 + 29*x**4 + 27*x**3 + 2*x**5 - x**3.
2*x**2*(x + 2)*(x + 3)**2
Let d be (-1)/10 - 5/(-50). Let i(q) be the first derivative of -1/12*q**4 + 0*q + 2 - 1/6*q**6 + 1/9*q**3 - 1/3*q**5 + d*q**2. Determine r so that i(r) = 0.
-1, 0, 1/3
Suppose -3*g - 5*o - 14 = 0, 3*o + 38 - 16 = 5*g. Determine n so that 2/9*n + 2/9*n**g + 0 = 0.
-1, 0
Let x(c) = -13*c - 2. Let m be x(-2). Find a such that 0 - 74*a**5 - 4 + 44*a**4 + m*a**2 + 4*a + 62*a**5 - 56*a**3 = 0.
-1/3, 1
Let m(q) be the second derivative of 5*q**6/2 + 7*q**5 + 55*q**4/12 - 5*q**3/3 + 15*q. Suppose m(k) = 0. Calculate k.
-1, 0, 2/15
Let m(j) = -6*j - 55. Suppose 3*q + 18 = 4*g, 3*q + 6*g - 4*g = -36. Let v be m(q). Factor -8/7*l**v + 0*l - 2*l**4 + 2/7*l**2 - 4/7*l**3 + 0.
-2*l**2*(l + 1)**2*(4*l - 1)/7
Suppose -280 = -4*b + 9*b. Let p be 3/((-18)/(-4)) + b/120. Factor -1/5*a - 3/5*a**2 + p*a**4 + 2/5 + 1/5*a**3.
(a - 1)**2*(a + 1)*(a + 2)/5
Let f(c) be the second derivative of -5*c**5/4 + 335*c**4/12 - 340*c**3/3 + 110*c**2 - 2*c + 60. Find b such that f(b) = 0.
2/5, 2, 11
Let l = 90 + -88. Factor 11*t - 4*t**2 + 3*t + 5*t**2 + 2*t**3 + 9*t**l + 6.
2*(t + 1)**2*(t + 3)
Let g(z) be the second derivative of 19*z**4/30 - 4*z**3/3 + z**2/5 + 2*z - 11. Determine l, given that g(l) = 0.
1/19, 1
Let g = -274/7 + 1454/35. Let i(n) be the first derivative of -g*n**5 + 0*n - 8*n**4 - 4*n**2 - 28/3*n**3 + 3. Factor i(u).
-4*u*(u + 1)**2*(3*u + 2)
Solve 939*u - 2175*u**3 - 530*u**2 - 35*u**5 - 1370*u**4 + 50*u**4 - 579*u = 0 for u.
-36, -1, 0, 2/7
Let m be (-4)/(-4) - (-2 - (-194)/66). Let k(c) be the first derivative of 2/11*c + 2/11*c**2 - 1 + m*c**3. Suppose k(v) = 0. What is v?
-1
Let u(o) = -o**4 + o**3 + 2*o - 1. Let b(z) = -2*z**4 - 53*z**3 - 7*z**2 + 4. Let n(i) = b(i) + 4*u(i). Factor n(x).
-x*(x + 8)*(2*x + 1)*(3*x - 1)
Suppose 5*v**2 - 627*v + 311*v + 70 + 271*v = 0. Calculate v.
2, 7
Let d(q) be the third derivative of -5/27*q**3 + 0 - 22*q**2 + 0*q + 1/18*q**4 - 1/270*q**5. Factor d(z).
-2*(z - 5)*(z - 1)/9
Suppose 3*a - 3*n - 45 = 0, 0*a + 46 = 3*a - 4*n. Suppose 4*z - 3*h - 3 = -4, -3*z + 12 = 2*h. Suppose -a + 8 + 2*p**z + 6 - p - p**3 = 0. What is p?
0, 1
Suppose -15 - 72 = -y. Let b = y - 171/2. Factor 4*x**3 + 0*x - 2*x**2 + 0 + b*x**4 - 9/2*x**5.
-x**2*(x + 1)*(3*x - 2)**2/2
Suppose 44*x = 21 + 155. Factor 0*q**2 + 0 - 6/11*q**3 + 0*q - 2/11*q**x.
-2*q**3*(q + 3)/11
Let p(m) be the second derivative of 1/25*m**6 + 32/15*m**3 + 1/10*m**5 - 9/10*m**4 + 0 - 12/5*m**2 - 1/105*m**7 + 29*m. Let p(j) = 0. Calculate j.
-3, 1, 2
Let t be 0/(-1) + 1/1 + 2. Let r be (-2)/(-4)*-5 + t. Factor r*i**3 + i + 3/2*i**2 + 0.
i*(i + 1)*(i + 2)/2
Suppose 8*p - 3*w = 13*p - 19, p + 4*w = 14. Let z(k) be the first derivative of 5/2*k**5 - 5/8*k**4 - k**p + 0*k + 2 - 8/3*k**3. Factor z(f).
f*(f - 1)*(5*f + 2)**2/2
Determine n so that -9 - 1/2*n**3 + 2*n**2 + 3/2*n = 0.
-2, 3
Suppose -2*z + 10*z**2 + 31 - 35*z + 7*z - 11*z**2 = 0. Calculate z.
-31, 1
Find c, given that 4/5*c**2 - 8*c + 0 = 0.
0, 10
Let u be 5*(4 - 90/25). Let f be 0/5*(1/u - 1). What is i in -3/2*i**2 - 3/2*i**3 + f + 0*i = 0?
-1, 0
Let q be (238/(-35) - -7) + 171/45. What is w in -4/9*w**2 + 2/9*w + 2/9 + 2/9*w**5 - 4/9*w**3 + 2/9*w**q = 0?
-1, 1
Suppose 16*c + 108*c + 48*c = 41*c. Factor c - 2/5*l**2 - 2/5*l.
-2*l*(l + 1)/5
Let v(f) be the first derivative of -1/9*f**3 + 1/10*f**5 - 1/36*f**6 + 1/4*f**2 + 22 - 1/12*f**4 - 1/6*f. Suppose v(k) = 0. What is k?
-1, 1
Let h(p) = 2*p**3 + 11*p - 43*p**2 - 5*p**3 - 62*p. Let m(d) = -d**3 - 11*d**2 - 13*d. Let s(f) = 6*h(f) - 22*m(f). Solve s(l) = 0 for l.
-1, 0, 5
Suppose -77*h**4 + 14*h**5 - 13*h**4 + 24*h**5 + h**2 + 15*h**4 + 36*h**3 = 0. Calculate h.
-1/38, 0, 1
Let u(a) = -a**3 + 6*a**2 - 1. Let d be u(6). Let j(z) = z**2 - z + 1. Let x(i) = 9*i**2 - 21*i + 24. Let l(m) = d*x(m) + 6*j(m). Suppose l(q) = 0. What is q?
2, 3
Let k(z) = -23*z**3 - 75*z**2 - 28*z + 16. Let p(a) = -162*a**3 - 525*a**2 - 198*a + 111. Let n(x) = 27*k(x) - 4*p(x). Factor n(b).
3*(b + 1)*(b + 2)*(9*b - 2)
Let i be 4*5/(-40)*0. Let b(x) be the third derivative of 11/36*x**4 - 2*x**2 + 0*x + i + 13/90*x**5 + 2/9*x**3 + 1/45*x**6. Factor b(o).
2*(o + 1)*(o + 2)*(4*o + 1)/3
Let y(v) = v**3 + 7*v**2 - v - 40. Let t be y(-6). Factor 4/5 - t*l + 4/5*l**2.
2*(l - 2)*(2*l - 1)/5
Suppose 2/9*z**5 + 22/9*z**2 + 0 - 8/9*z - 2*z**3 + 2/9*z**4 = 0. What is z?
-4, 0, 1
Suppose 6*i - 24 = 6. Suppose 0*z - 2 = -z + 4*f, 5*f = -i*z + 10. Factor -4/3*r**3 + 0 + 4/3*r**5 - 4/3*r**z + 0*r + 4/3*r**4.
4*r**2*(r - 1)*(r + 1)**2/3
Let x be ((-102)/18 - -6) + (-11)/(-3). Let p(h) be the third derivative of 0*h + 1/132*h**4 + x*h**2 - 1/330*h**5 + 0 + 0*h**3. Factor p(u).
-2*u*(u - 1)/11
Let w(o) be the second derivative of 7*o**6/60 + 8*o**5/15 + o**4/3 - 6*o**2 + 14*o. Let q(m) be the first derivative of w(m). Factor q(j).
2*j*(j + 2)*(7*j + 2)
Let l(w) = 3*w**3 - 5*w + 7. Let o be l(3). What is s in 64*s**3 - 75*s + o*s**3 - 142*s**3 - 45*s**2 - 35 = 0?
-7, -1
Let a(t) be the third derivative of 0 - 1/350*t**7 + 24*t**2 + 1/25*t**5 + 1/10*t**4 + 0*t**3 - 1/200*t**6 + 0*t. Solve a(f) = 0.
-2, -1, 0, 2
Let l = 573/5 + -564/5. Factor -1/5*y**3 + l*y + 3/5*y**2 - 27/5.
-(y - 3)**2*(y + 3)/5
Let d = -8 - -11. Suppose -d = 24*f - 123. Let -1/3*o**3 - 1/3 + 1/6*o**f + 1/6*o - 1/3*o**4 + 2/3*o**2 = 0. What is o?
-1, 1, 2
Let t(i) = -3*i**2 - 51*i + 18. Let w(d) = -d + 1. Let c(s) = -t(s) + 18*w(s). Factor c(r).
3*r*(r + 11)
Suppose 13*f = 23 + 29. Let r(h) be the third derivative of -1/330*h**5 + 0*h**3 - 1/385*h**7 + 0*h**f + h**2 + 0 + 1/220*h**6 + 1/1848*h**8 + 0*h. Factor r(u).
2*u**2*(u - 1)**3/11
Let u = 724 - 3617/5. Factor 0 - u*s**3 + 0*s**2 + 3/5*s.
-3*s*(s - 1)*(s + 1)/5
Determine b so that -1 - 75*b - 5*b**2 - 180*b + 1 - 240*b = 0.
-99, 0
Let f be -10 + (-10 - (732/(-36) + -5)). What is d in -17/3*d + f + 1/3*d**2 = 0?
1, 16
Let m(n) be the third derivative of 0 - 50*n**4 - 32*n**2 - 1/30*n**6 + 0*n + 2000/3*n**3 + 2*n**5. What is h in m(h) = 0?
10
Let c be 1/6 + 0 + (-70)/540. Let w(t) be the third derivative of -7*t**2 + 1/135*t**5 + c*t**3 + 0 + 0*t - 1/36*t**4. Suppose w(g) = 0. Calculate g.
1/2, 1
Suppose 4*m - 12 = -0. Let a(y) be the first derivative of y**3 + 10 - 5 - 5*y**3 + 3*y**m. Suppose a(d) = 0. What is d?
0
Factor 5*o**4 + 92*o**2 + 65*o**3 + 79*o - 4*o**4 + 14 + 31*o**2 + 0*o**4 + 6*o**4.
(o + 1)**2*(o + 7)*(7*o + 2)
Let t be (-721)/15 + 62/155. Let y = 48 + t. Factor n**4 - y*n**5 + 0*n + 1/3*n**2 + 0 - n**3.
-n**2*(n - 1)**3/3
Let v(n) = -2*n**2 + 6*n - 6. Let t be -7 + 5/(20/8). Let r(a) = 2*a**2 - 5*a + 5. Let i(f) = t*v(f) - 6*r(f). Factor i(w).
-2*w**2
Let k = -12149/45 + 270. Let m(n) be the second derivative of 7*n - 1/2*n**4 - 1/6*n**5 - 2/3*n**2 - 7/9*n**3 - k*n**6 + 0. Determine r, given that m(r) = 0.
-2, -1
Let f(t) be the second derivative of -3*t**5/80 - 7*t**4/16 - 7*t**3/4 - 3*t**2 + 16*t - 7. Factor f(b).
-3*(b + 1)*(b + 2)*(b + 4)/4
Let j be -1 + -1 - (-4 + 0). Let l = 22 + -18. Determine r so that -r**3 + 2*r**5 + 3*r + l*r**j + 13*r**3 + 4*r**2 + 8*r**4 - r = 0.
-1, 0
Let r(j) be the third derivative of -63*j**8/16 - 177*j**7/10 + 31*j**6/5 - 3*j**5/5 + 116*j**2. Determine w, given that r(w) = 0.
-3, 0, 2/21
Let q(d) be the third derivative of 5*d**2 + 0*d**3 + 1/20*d**5 + 0 + 0*d + 1/8*d**4. Factor q(p).
3*p*(p + 1)
Let r(t) = -12*t**3 - 3*t**2 + 7*t - 5. Let j be r(2). Let z = j - -101. Factor 0 - 6/7*q**5 + 0*q**z + 8/7*q**4 - 2/7*q**3 + 0*q.
-2*q**3*(q - 1)*(3*q - 1)/7
Suppose 0 = -12*l + l + 10*l. Determine q, given that l*q + 0 + 2/3*q**3 + 0*q**2 = 0.
0
Let f = -19 - -34. Let x be (f/35)/(2/14). Factor i**2 - 4*i**x - 2*i**4 - i**2.
-2*i**3*(i + 2)
Let u = -1176 + 3586/3. Factor 3*w**4 + 12*w + 13*w**3 + 8/3 + u*w**2.
(w + 1)*(w + 2)*(3*w + 2)**2/3
Find c, given that -56/5*c**2 - 4/5*c**4 - 12*c**3 + 2/5*c + 12/5 + 2*c**5 = 0.
-1, 2/5, 3
Suppose 5*s + 3*x = -0*s + 23, -4*s + 15 = -x. Suppose s*r = 7 + 5. Solve 3*p**4 + 0*p**2 + p**4 + 8*p**r + 4*p**2 = 0.
-1, 0
Let j be 5/(2*(-3)/(-6)). Suppose -j*a + 4 = -6. Factor a - 4*n**2 - 5 + 8*n - n**2.
-(n - 1)*(5*n - 3)
Let v(q) be the first derivative of -3*q*