*g**2 + 1/42*g**3. Factor w(r).
(r + 1)**2/7
Factor 3/4*s**3 + 77/4*s + 15/2 + 25/2*s**2.
(s + 1)*(s + 15)*(3*s + 2)/4
Suppose -3330 = -9*t - 3312. Factor 1/5*a**t + 14/5*a + 49/5.
(a + 7)**2/5
Let u be 0/(2 - 0/2). Let h be u/(-1 - 0 - -3). Factor 3*n + n + 2 + 2*n**4 - 4 - 4*n**3 + h*n**3.
2*(n - 1)**3*(n + 1)
Let p be -1*2 - ((-1 - -3) + 1). Let z be ((0 + -1)*4)/(p + -1). Factor 0*l + 0 + z*l**2.
2*l**2/3
Let r = -20/21 + 346/231. Find x, given that -2/11*x - r*x**2 + 2/11*x**4 + 4/11 + 2/11*x**3 = 0.
-2, -1, 1
Let h(x) be the third derivative of -250/3*x**3 - 25*x**2 - x**5 - 1/30*x**6 + 0*x + 0 - 25/2*x**4. Find z such that h(z) = 0.
-5
Let v(w) be the third derivative of -w**5/330 + 7*w**4/66 - 90*w**2. Find a, given that v(a) = 0.
0, 14
Let d(o) be the third derivative of -o**7/525 - o**6/30 - 4*o**5/75 + o**4/6 + 3*o**3/5 - 202*o**2. What is m in d(m) = 0?
-9, -1, 1
Let k(q) = 6*q**2 - 1. Let l(v) = 17*v**2 - 146*v - 5332. Let o(z) = 6*k(z) - 2*l(z). Factor o(t).
2*(t + 73)**2
Let u(p) be the second derivative of p**4/96 - p**2/4 + 28*p. Factor u(n).
(n - 2)*(n + 2)/8
Suppose r = 6*r + 3355. Let j = 959 + r. Solve -406 - 3*m**4 - j*m**2 - 254*m - 362 - 514*m - 48*m**3 = 0.
-4
Let q(z) be the first derivative of z**5/15 + 2*z**4/3 + 5*z**3/9 - 7*z**2/3 + 250. Factor q(j).
j*(j - 1)*(j + 2)*(j + 7)/3
Let 1018 - 1034 - 5*q**2 - 20*q + q**2 = 0. What is q?
-4, -1
Let u(j) = -j**4 - 4*j**3 + 112*j**2 - 747*j + 1507. Let k(r) = -r**4 - 3*r**3 + 111*r**2 - 751*r + 1506. Let z(w) = 7*k(w) - 6*u(w). Factor z(d).
-(d - 5)**3*(d + 12)
Factor 219/5*c**3 - 24/5 - 84/5*c**4 + 132/5*c + 12/5*c**5 - 258/5*c**2.
3*(c - 2)**3*(2*c - 1)**2/5
Factor -1/3*p**4 - 16/3*p**2 + 0 + 8/3*p**3 + 0*p.
-p**2*(p - 4)**2/3
Let h = 3412 + -3410. Factor -9/2*j - 1/2 - 81/8*j**h.
-(9*j + 2)**2/8
Let p(g) be the third derivative of -g**6/270 - g**5/30 - g**4/9 + 3*g**3/2 + 4*g**2. Let v(f) be the first derivative of p(f). Factor v(h).
-4*(h + 1)*(h + 2)/3
Let l(x) be the second derivative of -11*x**7/3150 + x**6/450 + 2*x**4/3 + 2*x. Let p(c) be the third derivative of l(c). Find t, given that p(t) = 0.
0, 2/11
Let n(u) = -u**5 + u**4 + u**3 + 2*u**2 + 1. Let v(j) = 3*j**5 - 59*j**4 - 67*j**3 + 62*j**2 + 64*j + 1. Let m(b) = n(b) - v(b). Solve m(p) = 0 for p.
-1, 0, 1, 16
Let r be (17 - 107/5) + 8. Let 12/5*b - 3/5*b**3 + 3/5*b**4 - r*b**2 + 24/5 = 0. What is b?
-2, -1, 2
Let b(v) be the third derivative of -3*v**8/392 + v**7/7 + 139*v**6/210 + 22*v**5/21 + 2*v**4/3 - 10*v**2 + 7*v. Find z such that b(z) = 0.
-1, -2/3, 0, 14
Let d(j) = -9*j**4 - 9*j**3 + 17*j**2 + 9*j - 8. Let t(g) = -3*g**4 - 3*g**3 + 6*g**2 + 3*g - 3. Let l(i) = -3*d(i) + 8*t(i). Factor l(a).
3*a*(a - 1)*(a + 1)**2
Let c(v) be the second derivative of -v**5/20 + v**4/4 + 3*v**3/2 - 13*v**2/2 + 26*v. Let f(a) be the first derivative of c(a). Factor f(i).
-3*(i - 3)*(i + 1)
Let d(g) be the third derivative of g**8/25200 - g**7/1575 + g**6/225 + 13*g**5/60 + 31*g**2. Let i(j) be the third derivative of d(j). Factor i(k).
4*(k - 2)**2/5
Let o be ((-70)/15 + 4)/(3/(-6)). Let k = -26740/9 + 2974. Factor k*x**2 - 16/9*x - o*x**3 + 2/9.
-2*(x - 1)**2*(6*x - 1)/9
Let r(y) = -y**3 - 5*y**2 + y + 10. Let i be r(-5). Factor -o**4 - i*o**2 - 6*o**3 - 4*o**2 - 6*o + 2*o.
-o*(o + 1)**2*(o + 4)
Let v be 36/8 - -3 - 7. Let c(s) be the first derivative of 0*s + 1 + 2/3*s**3 + v*s**4 + 0*s**2. Factor c(z).
2*z**2*(z + 1)
Let i(v) be the second derivative of 5*v**7/252 + v**6/12 + v**5/12 - 5*v**4/36 - 5*v**3/12 - 5*v**2/12 - 40*v. Factor i(g).
5*(g - 1)*(g + 1)**4/6
Let j(b) = -9*b**3 - 12*b**2 - 6*b. Let s(v) = 2*v + 34. Let u be s(-14). Let n(o) = -26*o**3 - 35*o**2 - 17*o. Let m(l) = u*n(l) - 17*j(l). Factor m(d).
-3*d**2*(d + 2)
Let q(v) be the first derivative of -v**3/8 - 99*v**2/16 + 51*v/4 - 346. Solve q(c) = 0 for c.
-34, 1
Let s = 82 + -80. Factor -5*i**3 + s*i**2 + 3*i**2 + 2*i**2 + 3*i**2.
-5*i**2*(i - 2)
Let c(o) = o**2 - 280*o + 6346. Let p(s) = -s**2 + 562*s - 12691. Let q(n) = 5*c(n) + 2*p(n). Find d, given that q(d) = 0.
46
Let o(d) be the third derivative of -121*d**7/1890 - 11*d**6/27 - 26*d**5/45 + 20*d**4/27 - 8*d**3/27 - 15*d**2 + 5. Let o(s) = 0. Calculate s.
-2, 2/11
Suppose 36*s**2 + 8*s**3 + 14*s**4 + 28*s**4 - 8*s - 78*s**4 = 0. What is s?
-1, 0, 2/9, 1
Suppose -8*k + k = -35. Let t(f) be the second derivative of 7*f + 3/20*f**k - 1/2*f**3 + 0 + 3*f**2 - 1/2*f**4. What is j in t(j) = 0?
-1, 1, 2
Let n be 40/810*9 - -1*195/108. Find g, given that 1/4*g**2 + 3/2*g + n = 0.
-3
Suppose -8 = -3*z - 2. Let u(t) be the third derivative of 0 + 0*t - 1/20*t**5 + 0*t**4 - 5*t**z + 0*t**3. Suppose u(k) = 0. Calculate k.
0
Let w(i) = -5*i + 322. Let y be w(64). Factor 0 - 42/11*d**y - 4/11*d.
-2*d*(21*d + 2)/11
Let m(h) be the first derivative of -1/6*h**3 - 1/2*h**2 + 0*h - 11. Determine j so that m(j) = 0.
-2, 0
Let z(k) be the third derivative of 23*k**5/15 + 8*k**4 + 8*k**3/3 - 21*k**2. Factor z(v).
4*(v + 2)*(23*v + 2)
Let j(y) be the third derivative of -2*y**2 + 15 + 0*y - 8*y**3 - 1/15*y**5 - 4/3*y**4. Factor j(o).
-4*(o + 2)*(o + 6)
Let f(c) be the second derivative of -c**4/126 - 6*c**3/7 - 53*c**2/21 + c + 203. Factor f(u).
-2*(u + 1)*(u + 53)/21
Determine d so that 2/9*d**2 + 4/9*d - 2/3 = 0.
-3, 1
Let k(o) be the second derivative of o**7/126 + 2*o**6/45 + o**5/60 - 5*o**4/18 - 2*o**3/9 + 4*o**2/3 + 23*o - 1. Factor k(p).
(p - 1)**2*(p + 2)**3/3
Factor -24/5 + 18/5*a**3 - 88/5*a + 94/5*a**2.
2*(a - 1)*(a + 6)*(9*a + 2)/5
Let s = 124 - 121. Let o be ((-18)/6)/3 + s/2. Factor -y - 1/2*y**2 - o.
-(y + 1)**2/2
Find c, given that -5*c**2 - 9/2 + 1/4*c**3 + 37/4*c = 0.
1, 18
Let n(a) = -2*a**2 - 32*a - 46. Let d(j) = j**2 + 11*j + 15. Let u(o) = -8*d(o) - 3*n(o). Let k(m) = -m - 1. Let g(i) = -6*k(i) - u(i). Factor g(r).
2*(r - 3)*(r + 2)
Let d be (-585)/325*(2 - (-34)/(-12)). Suppose -d*f + 15/8*f**2 - 9/8 + 3/4*f**3 = 0. What is f?
-3, -1/2, 1
Suppose 6*f - 9 = 2*f - 3*y, 12 = f + 4*y. Suppose 26*w**2 - 2 + 15*w - 3 + 5*w**3 + f - 41*w**2 = 0. What is w?
1
Let k = 14715 + -14712. Solve -3/7*b**2 + 1/7*b**k - 9/7*b - 5/7 = 0 for b.
-1, 5
Find i such that -83457 + 83457 + 9*i + 3*i**2 - 3*i**4 - 9*i**3 = 0.
-3, -1, 0, 1
Let c be (2 - (1 - -2 - 4))/1. Let w be -3 - (-2)/12*22. Let -2/3*a**2 + 2/9*a**c + w*a - 2/9 = 0. What is a?
1
Let l(t) = -105*t**4 + 75*t**3 + 30*t**2 + 11*t. Let n(f) = -35*f**4 + 25*f**3 + 10*f**2 + 4*f. Let j be 33*-1*4/12. Let d(r) = j*n(r) + 4*l(r). Factor d(z).
-5*z**2*(z - 1)*(7*z + 2)
Let z(h) be the third derivative of h**8/33600 - h**7/2520 + h**4/3 + 14*h**2. Let m(u) be the second derivative of z(u). Factor m(q).
q**2*(q - 5)/5
Factor -149*s**3 - 1675*s**2 - 4*s**4 + 0*s**4 - 23*s**3 - 8100*s - 971*s**2 + 27000 + 306*s**2.
-4*(s - 2)*(s + 15)**3
Let f(w) be the first derivative of 39/7*w**4 + 0*w - 6 + 36/35*w**5 + 96/7*w**3 + 96/7*w**2 + 1/14*w**6. Solve f(g) = 0.
-4, -2, 0
Suppose q + 20 = 6*q. Let a be (1 - 10)*2/(-6). Factor -a*k**3 + k**3 + 0*k**3 + 3*k**4 - 3 - q*k**3 + 6*k.
3*(k - 1)**3*(k + 1)
Let b(u) be the third derivative of 10*u**2 + 1/15*u**5 + 2*u**3 + 0 + 0*u - 2/3*u**4. Factor b(l).
4*(l - 3)*(l - 1)
Let s = 2008 + -2000. Let v(k) be the first derivative of -3/4*k**4 - 1/4*k**3 + s + 3/4*k + 3/2*k**2. Let v(g) = 0. What is g?
-1, -1/4, 1
Let g be 3 + 6/(12/(-14)). Let o be 3*g/(-12)*3. Suppose -2*l**3 + 3*l**o + 2*l**4 - l**5 + 2*l**3 + 41*l - 4*l**2 - 45*l = 0. What is l?
-1, 0, 2
Let y be 4 - 6/30*5. Let n(k) be the second derivative of 1/9*k**y + 0 + 7*k + 0*k**2 - 1/36*k**4. Solve n(i) = 0 for i.
0, 2
Factor -100*f**3 + 495*f**2 - 164 - 315 - 21 + 4*f**4 + 4*f**4 - 3*f**4 + 100*f.
5*(f - 10)**2*(f - 1)*(f + 1)
Find l, given that -11/9*l**4 - 25/9*l**3 + 16/9 - 5/9*l**2 + 26/9*l - 1/9*l**5 = 0.
-8, -2, -1, 1
Suppose -8*n = -7*n - 22. Factor -6*k - 8*k + n*k + 4 + 0*k + 4*k**2.
4*(k + 1)**2
Let z(x) be the first derivative of -16 + 2/5*x**2 + 4/25*x**5 + 8/5*x - 1/5*x**4 - 4/5*x**3. Let z(d) = 0. What is d?
-1, 1, 2
Suppose -s + 131 = 2*w, -4*w + 128 = -2*s - 146. Let k = w - 65. Factor 0*b**3 + 2/5*b**k + 0 - 1/5*b - 2/5*b**4 + 1/5*b**5.
b*(b - 1)**3*(b + 1)/5
Let a be 25/(3/(-10 - -4)). Let f be (-1430)/(-875) + (-4)/a. Find h, given that -2/7