60*q**7 - 2/5*q**5 + 0*q - 1/36*q**6 + 61*q**2 - 3*q**4 + 0. Factor l(f).
-(f + 2)*(f + 6)**3/6
Let b = -601252/9 - -66808. Factor b*w - 50/9 - 2/9*w**2.
-2*(w - 5)**2/9
Let l(q) = 26*q - 6. Let j be l(-15). Let d be (2 - (j/16)/9) + -4. Suppose -d*p**2 + 0*p - 3/4*p**3 + 0 = 0. Calculate p.
-1, 0
Let v(c) be the second derivative of 3*c**5/100 + 4*c**4/5 + 77*c**3/10 + 147*c**2/5 - 13053*c. Find s, given that v(s) = 0.
-7, -2
Suppose -7 = -a + 5*i, -1 = 4*i + 3. Suppose -o + 2 = -f, o - 3330*f - 32 = -3334*f. Find k, given that -2/9*k**a - o - 8/3*k = 0.
-6
Find k, given that -524/5*k**2 + 412/5*k**3 - 312/5 - 1276/5*k - 28/5*k**4 = 0.
-1, -2/7, 3, 13
Let l(r) = -r**3 + 3*r**2 + r + 1. Let f be l(3). Factor j**2 + 4*j - 55*j**3 - 2*j**2 + j**f + 59*j**3 - 8*j.
j*(j - 1)*(j + 1)*(j + 4)
Let h(b) be the second derivative of b**6/90 - 8*b**5/15 - 2*b**4/9 + 704*b**3/3 + 2904*b**2 + 2285*b. Factor h(p).
(p - 22)**2*(p + 6)**2/3
Let m(a) be the third derivative of a**6/96 - 997*a**5/240 + 347*a**4/24 - 33*a**3/2 + 36*a**2 - 6*a. Determine y, given that m(y) = 0.
2/5, 1, 198
Let b(l) be the third derivative of -l**5/120 + 11*l**4/48 - 5*l**3/6 + 2*l**2 + 561. Factor b(i).
-(i - 10)*(i - 1)/2
Let a(b) be the second derivative of 5*b**4/24 + 995*b**3/12 - 250*b**2 - 4903*b. Factor a(w).
5*(w - 1)*(w + 200)/2
Let d be (8/6)/((-1)/(-21)). Suppose -4 = -32*q + d*q. Let z(w) = 5*w**3 + 3*w**2 - 2*w + 6. Let b(o) = -o**3 - 1. Let p(x) = q*z(x) + 6*b(x). Factor p(c).
-c*(c - 2)*(c - 1)
Suppose 474*l**3 - 1408*l**3 + 468*l**3 - 80*l + 470*l**3 + 32*l**2 = 0. What is l?
-10, 0, 2
Let s(k) = k**2 - 4*k - 17. Let v be s(7). Let z be (v/10)/((-71)/(-355)). Factor -3/5*i**3 + 0*i**4 + 1/5*i**5 + 0 + 0*i - 2/5*i**z.
i**2*(i - 2)*(i + 1)**2/5
Let g = 1632/11473 + 1/1639. Factor -5/7 - g*v**2 - 6/7*v.
-(v + 1)*(v + 5)/7
Let s(o) be the third derivative of -22*o**5/3 + 1319*o**4/72 + o**3/18 + 9*o**2 + 297*o. Factor s(d).
-(d - 1)*(1320*d + 1)/3
Suppose 0 = -63*r - 86 + 275. Let s(h) be the second derivative of -r*h + 5/3*h**3 + 0 - 5/12*h**4 + 0*h**2. Solve s(d) = 0.
0, 2
Factor 749705 + 438671 + 4112*j + 4*j**2 - 131592.
4*(j + 514)**2
Let j be 2 - ((-18)/(-5) + -2) - (-94572)/29820. Suppose -18/7*r + j*r**2 + 0 + 5/7*r**4 + 48/7*r**3 = 0. Calculate r.
-9, -1, 0, 2/5
Let n = -833 - -882. Suppose 56*q = n*q. Solve -6/7*o + q + 3/7*o**2 = 0.
0, 2
Let c(v) be the first derivative of v**5/80 + v**4/48 - v**3/12 - 67*v + 107. Let x(z) be the first derivative of c(z). Factor x(w).
w*(w - 1)*(w + 2)/4
Find i, given that 1/4*i**2 - 11/4*i - 391/2 = 0.
-23, 34
Let k(x) be the third derivative of x**6/80 + 3*x**5/20 - 9*x**4/4 + 10*x**3 + 477*x**2. Find a, given that k(a) = 0.
-10, 2
Let t(w) be the first derivative of -3*w**4/4 + 534*w**3 - 106128*w**2 - 430944*w + 1737. What is g in t(g) = 0?
-2, 268
Suppose -z = 2*u - 20, -7*z = -4*u - 5*z + 48. Let b(o) be the first derivative of -8/3*o**3 - u + 5*o**2 - 2*o. Find t, given that b(t) = 0.
1/4, 1
Let r(i) = 63*i - 2259 + 8*i**2 + 49*i**2 + 2260 + 17*i**3. Let l(t) = -8*t**3 - 28*t**2 - 32*t. Let h(n) = 11*l(n) + 6*r(n). Factor h(c).
2*(c + 1)**2*(7*c + 3)
Let h(v) be the third derivative of v**6/90 - 92*v**5/15 + 4232*v**4/3 - 1557376*v**3/9 - 200*v**2. Factor h(o).
4*(o - 92)**3/3
Let t = -201209 + 201214. Factor -2/3*b**3 + 1/3*b**2 - 1/6*b**t - 2/3*b**4 + 1/3 + 5/6*b.
-(b - 1)*(b + 1)**3*(b + 2)/6
Let y(b) be the second derivative of b**4/4 + 83*b**3/2 - 801*b**2 + 79*b - 9. Factor y(g).
3*(g - 6)*(g + 89)
Factor 2/7*m**2 - 1044/7 + 1042/7*m.
2*(m - 1)*(m + 522)/7
Let c(u) be the first derivative of 2*u**3/39 - 2882*u**2/13 + 4152962*u/13 + 2837. Factor c(v).
2*(v - 1441)**2/13
Let k(t) = 157*t**2 - 90*t + 1619. Let b(h) = -341*h**2 + 180*h - 3242. Let y(i) = 6*b(i) + 13*k(i). Suppose y(r) = 0. Calculate r.
-29, 11
Determine x so that -4*x**2 + 13/2*x**3 + 225/4 - 117/2*x - 1/4*x**4 = 0.
-3, 1, 3, 25
Let h(y) be the second derivative of y**5/10 + 13*y**4/15 + y**3/3 - 1067*y. What is g in h(g) = 0?
-5, -1/5, 0
Let p(c) be the first derivative of -c**3 + 4371*c**2 - 6368547*c + 2922. Suppose p(d) = 0. What is d?
1457
Let j(b) be the second derivative of b**5/330 - 8*b**4/33 - b**3 - 25*b**2 - 19*b. Let t(y) be the first derivative of j(y). Factor t(u).
2*(u - 33)*(u + 1)/11
Let j(z) be the third derivative of -14/3*z**4 + 0*z - 8*z**3 - 11 - 1/10*z**6 + z**2 + 23/15*z**5. Factor j(n).
-4*(n - 6)*(n - 2)*(3*n + 1)
Let f = -47111 + 47111. Let g = -7 - -10. Suppose f + 4/9*d**2 + 0*d + 2/3*d**g = 0. What is d?
-2/3, 0
Find y, given that -4288/9 + 4286/9*y + 2/9*y**2 = 0.
-2144, 1
Let r(c) be the third derivative of 0 - 1/4*c**5 - 9/40*c**6 - c**2 + 0*c**3 + 50*c + 0*c**4 - 3/70*c**7 + 1/112*c**8. Factor r(p).
3*p**2*(p - 5)*(p + 1)**2
Suppose 119*f = 122*f - t - 12, -24 = -f + 7*t. Factor 56/5*w**f + 80 + 112*w + 4/5*w**4 + 276/5*w**2.
4*(w + 2)**2*(w + 5)**2/5
Let u(r) be the first derivative of -r**5/35 + 3*r**4/4 - 8*r**3/3 + 18*r**2/7 - 1362. Find k, given that u(k) = 0.
0, 1, 2, 18
Let w(x) be the third derivative of -x**7/42 + x**6/8 - 5*x**4/6 + 35*x**2 + 8. Let w(y) = 0. What is y?
-1, 0, 2
Let k(d) be the second derivative of d**8/560 - d**6/60 + d**4/8 + 43*d**3/3 - d**2 - 4*d - 13. Let i(t) be the second derivative of k(t). Factor i(h).
3*(h - 1)**2*(h + 1)**2
Let h(w) be the second derivative of 66*w + 0 + 1/3*w**3 - 1/12*w**4 - 1/2*w**2. Factor h(q).
-(q - 1)**2
Let z be 0 + (0 - -3 - -221). Suppose 12*a**2 - z*a + 16*a**2 - 144*a**2 - 20*a**3 - 144 = 0. What is a?
-2, -9/5
Let d = 154284 - 308563/2. Suppose d*v**3 - 17/2*v + 1/2*v**4 - 3/2*v**2 - 5 = 0. What is v?
-5, -1, 2
Let q(c) be the third derivative of 1/20*c**6 - 2/45*c**5 + 0*c**3 + 2*c**2 + 1/504*c**8 + 0*c - 1 + 2/105*c**7 - 1/3*c**4. Solve q(n) = 0 for n.
-3, -2, 0, 1
Let -65/6 - 11*p - 1/6*p**2 = 0. Calculate p.
-65, -1
Let 156*q**3 - 27*q**4 - 8/3 - 541/3*q**2 - 46*q = 0. Calculate q.
-1/9, 2, 4
Let a = 36 - 35. Let w(p) = 2*p**3 + 2*p**2 - 1. Let z be w(a). Solve 0*s**4 - 9/2*s**z - 3*s**2 + 0 + 3/2*s**5 + 0*s = 0.
-1, 0, 2
What is i in -1372*i - 2/7*i**2 - 1647086 = 0?
-2401
Let x(v) be the second derivative of v**4/12 - 347*v**3 + 1083681*v**2/2 - 2964*v. Find o such that x(o) = 0.
1041
Let p be (3/(-5))/((-1)/5). Let n(y) = 4*y**3 + 4*y**2 - 5*y + 3. Suppose o = 3*o - 2. Let d(g) = -g - 1. Let t(z) = o*n(z) + p*d(z). Factor t(r).
4*r*(r - 1)*(r + 2)
Let r(q) be the second derivative of q**4/4 + 73*q**3 + 435*q**2/2 + 1797*q - 2. Factor r(f).
3*(f + 1)*(f + 145)
Let h = 872309 + -872307. Solve 20/17 + 54/17*x + 36/17*x**h = 0 for x.
-5/6, -2/3
Let w be 360/(-63) - -5 - 2270/(-1120). Let x(z) be the first derivative of 1/4*z**2 + 0*z + w*z**4 + 5/24*z**6 + 6 + 17/20*z**5 + 11/12*z**3. Factor x(n).
n*(n + 1)**3*(5*n + 2)/4
Let o(y) be the third derivative of -1/490*y**7 + 47*y**2 - 1/56*y**6 - 27/56*y**4 + 0*y**3 + 0*y + 33/140*y**5 + 0. Factor o(k).
-3*k*(k - 3)*(k - 1)*(k + 9)/7
Let x(a) be the second derivative of -a**4/36 - 11*a**3/18 + 40*a**2/3 + 217*a. Factor x(m).
-(m - 5)*(m + 16)/3
Suppose 77 - 1873*g**2 + 1878*g**2 - 55*g + 73 = 0. Calculate g.
5, 6
Suppose 0 = 31*x - 27*x + 4*b + 60, 5*x = 4*b + 78. Factor 10/7*t**x - 2 + 4/7*t.
2*(t - 1)*(5*t + 7)/7
Factor 6144 + 3/2*s**2 - 192*s.
3*(s - 64)**2/2
Let b(f) be the first derivative of 1/60*f**6 + 7/18*f**4 + 1 + 2/9*f**3 + 0*f + 7/2*f**2 + 5/36*f**5. Let o(i) be the second derivative of b(i). Factor o(a).
(a + 2)**2*(6*a + 1)/3
Let x = -125/176 - -45/44. Let j(r) be the first derivative of 0*r - 14 - x*r**4 + 1/4*r**3 + 1/4*r**2. Factor j(p).
-p*(p - 1)*(5*p + 2)/4
Let f be (-2)/3 + 0 + 714/126. Factor 1405*p**2 - 27*p**4 + 5*p**5 - 1375*p**2 + 7*p**4 + 0*p**f + 5*p**3.
5*p**2*(p - 3)*(p - 2)*(p + 1)
Let 0 + 32/5*z + 24/5*z**2 + 0*z**3 - 2/5*z**4 = 0. What is z?
-2, 0, 4
Factor -4897369*a - 1/3*a**3 - 10837877597/3 - 2213*a**2.
-(a + 2213)**3/3
Suppose -18*c + 598 - 598 = 0. Let q(p) be the first derivative of 1/22*p**4 + c*p + 0*p**2 - 18 - 1/33*p**6 + 2/33*p**3 - 2/55*p**5. Factor q(s).
-2*s**2*(s - 1)*(s + 1)**2/11
Let v(m) = 17*m**3 - 114*m**2 - 331*m - 161. Let p(l) = 18*l**3 - 112*l**2 - 334*l - 162. Let h(a) = 13*p(a) - 14*v(a). Find r such that h(r) = 0.
-1, 37
Let 11/5*q