40*p**6 + 33/2*p**4 + 0 + 68*p**2 - 97/40*p**5 + 0*p - 36*p**3. Factor g(s).
-3*(s - 1)**2*(s + 12)**2/2
Let y be ((-12)/(-10))/(-26 - (1 - 548/20)). Let -7/4*w - 9/8*w**2 + 0 + 13/8*w**y + 1/8*w**5 + 9/8*w**4 = 0. Calculate w.
-7, -2, -1, 0, 1
Factor -179/2*j**3 - 25198*j - 1/2*j**4 - 4296*j**2 + 29584.
-(j - 1)*(j + 8)*(j + 86)**2/2
Suppose -1/2*y**5 - 5/2*y**3 + 0 + 3*y**4 - 6*y**2 + 0*y = 0. Calculate y.
-1, 0, 3, 4
Let 2*q**4 - 10*q - 3/2*q**5 - 3*q**2 - 4 + 13/2*q**3 = 0. Calculate q.
-1, -2/3, 2
Suppose -5*n - 41 = -61. Suppose 3 = n*m + q, -4*m + q = -1 - 4. Factor 2*z**4 + m - 1 - 2*z**3 - 4*z**4.
-2*z**3*(z + 1)
Let d be 135 - (8/14)/((-10)/(-35)). Determine y, given that -d*y - 20*y - 131*y - 7200 + 44*y - 2*y**2 = 0.
-60
Let m(a) = -a**2 + a + 8. Let r be m(3). Suppose 0 = 4*c + 2*d - 792 - 262, -5*c - r*d = -1317. Find y, given that 12 + 3 + c*y**2 - 10*y - 268*y**2 = 0.
-3, 1
Let j(a) be the third derivative of a**6/120 + a**5/15 - 25*a**4/24 - 14*a**3/3 - a**2 + 964. Find s such that j(s) = 0.
-7, -1, 4
Let c = 564 + -565. Let b be c/13 - 315/(-546). Solve 0*y**4 + 0*y**2 + y**3 + 0 - b*y**5 - 1/2*y = 0 for y.
-1, 0, 1
Let z(f) be the third derivative of -f**8/2520 + 22*f**7/1575 - 47*f**6/300 + 166*f**5/225 - 13*f**4/9 + 3622*f**2. Solve z(l) = 0 for l.
0, 2, 5, 13
Suppose -189*m**2 - 5*m**3 + 23*m**2 + 564 - 940*m - 9*m**2 - 136 + 692 = 0. Calculate m.
-28, -8, 1
Let w(c) be the third derivative of -c**6/120 + 7*c**5/20 - 6*c**4 + 54*c**3 + 9*c**2 + 9*c. Find s, given that w(s) = 0.
6, 9
Suppose -4*r = -b - 7, 3*b + 0 = -r + 5. Solve -14*n**r + 46*n**2 + 4*n**4 - 64 - 8*n**4 = 0 for n.
-2, 2
Let b(y) = y**3 - 16*y**2 - 16*y - 4. Let n be b(17). Suppose 14*j = 55 - n. What is z in -18/5*z**4 - 27/5*z + 18/5*z**2 + 3/5*z**5 + 0 + 24/5*z**j = 0?
-1, 0, 1, 3
Let n(x) be the third derivative of x**5/15 - 55*x**4/6 + 36*x**3 - 2*x**2 + 556*x. Factor n(g).
4*(g - 54)*(g - 1)
Let k(d) be the second derivative of d**4/28 + 29*d**3/14 - 129*d**2 + 4*d - 240. Factor k(u).
3*(u - 14)*(u + 43)/7
Let o(f) be the second derivative of f**7/5040 + f**6/60 + 3*f**5/5 + 12*f**4 + 9*f**3/2 + 2*f - 3. Let v(k) be the second derivative of o(k). Factor v(w).
(w + 12)**3/6
Solve -57*r + 62*r**3 - 5*r**3 + 14*r**2 - 13*r**2 + r**4 - 18*r**2 + 16*r**2 = 0.
-57, -1, 0, 1
Suppose -5*d = -3*i + 11, 13*d = 3*i + 16*d - 3. Find r, given that 0*r**2 + i*r - 2/7*r**3 - 12/7 = 0.
-3, 1, 2
Let p = 46 + 16. Suppose 5 - 3 = 2*c. Factor -70*i - c + p*i - 5 - 2*i**2.
-2*(i + 1)*(i + 3)
Suppose -5*u = -3*d + 72, 93 - 317 = -44*d + 4*u. Determine p so that 0 + 0*p**3 + 3/7*p**d + 0*p - 3/7*p**2 = 0.
-1, 0, 1
Let h(g) be the first derivative of -125*g**4/4 + 41350*g**3/3 - 16510*g**2 + 6600*g - 1523. Factor h(t).
-5*(t - 330)*(5*t - 2)**2
Factor -55/6*h**3 - 1/6*h**4 - 841/3 + 2407/6*h - 223/2*h**2.
-(h - 2)*(h - 1)*(h + 29)**2/6
Let m(t) be the second derivative of -t**10/70560 - t**9/8820 - t**8/3136 - t**7/2940 - 13*t**4/6 + 45*t. Let q(g) be the third derivative of m(g). Factor q(z).
-3*z**2*(z + 1)**2*(z + 2)/7
Let g be (-12690)/(-1080) + (10/(-25))/((-16)/(-70)). Let y(i) be the first derivative of 3/7*i**2 - 2/21*i**3 - g - 4/7*i. Solve y(q) = 0.
1, 2
Find j, given that -1/5*j**4 + 0 + 0*j**2 + 0*j - 919/5*j**3 = 0.
-919, 0
Let l(u) = u**3 - u**2 + 3*u - 4. Let m be l(2). Suppose -4*b + b = -m. Find n, given that 2 + n**b - 5*n**2 + 6*n**2 - 4*n + 0 = 0.
1
Let y = 6477/1040 - 297/208. Factor -3*f**2 + y*f + 12/5.
-3*(f - 2)*(5*f + 2)/5
Find q, given that 156/7*q**3 + 0 - 6*q**4 + 3/7*q**5 + 81/7*q - 198/7*q**2 = 0.
0, 1, 3, 9
Suppose 3*n - 1 = -4*q - 0, -3*n + 19 = -5*q. Suppose -2*l = n*t - 18, -5*t = 5*l - 0*t - 45. Factor -l*o**4 - 3*o - 3*o**5 - 110*o**3 + 104*o**3 + 3*o.
-3*o**3*(o + 1)*(o + 2)
Let n(a) = -3*a**3 + 4*a**2 + a. Let v(z) = -5*z**4 - 128*z**3 + 1639*z**2 - 6354*z + 7920. Let y(j) = -6*n(j) + v(j). Factor y(s).
-5*(s - 4)**2*(s - 3)*(s + 33)
Let d = 169 - 165. Let n(h) = 7*h**2 - h - 1. Let v be n(1). Suppose 14*r**3 - 6*r**3 + 2*r**4 + 0*r**5 - 4*r**v + 2*r**d = 0. Calculate r.
-1, 0, 2
Let b(g) be the second derivative of g**7/420 - 29*g**6/1080 + g**5/30 + 29*g**4/6 + 59*g. Let m(w) be the third derivative of b(w). Factor m(v).
2*(v - 3)*(9*v - 2)/3
Suppose 17 + 0 = 2*y - 5*d, 0 = 4*d + 4. What is t in -2*t - 41 - 2*t**2 + 35 - y*t = 0?
-3, -1
Factor 3 + 0*i**2 - 7/2*i + 1/2*i**3.
(i - 2)*(i - 1)*(i + 3)/2
Let t = -285 - -288. Let -39*i**t + 20*i**2 + 19*i + 24*i**3 - 10*i**4 + 5*i**5 + i = 0. Calculate i.
-1, 0, 2
Let m(w) = 0 + 1 - 2 - 1 - 1. Let a(z) = -z**3 - 21*z**2 - 99*z + 127. Let q(k) = -a(k) - 2*m(k). Let q(n) = 0. What is n?
-11, 1
Let k be -22 + 23580/16 - 3/(-6 + -6). Determine u, given that k + 44*u + 1/3*u**2 = 0.
-66
Determine w so that 312*w - 1/2*w**2 + 0 = 0.
0, 624
Factor -258*h**2 + h**5 + 566*h**2 + 79*h**4 + 15*h**4 + 1324*h**2 - 800*h**3.
h**2*(h - 4)**2*(h + 102)
Let d(b) be the first derivative of -2*b**3/15 - 86*b**2/5 - 336*b/5 - 2185. Determine m, given that d(m) = 0.
-84, -2
Let j(q) be the second derivative of 8*q**6/285 + 21*q**5/190 + 5*q**4/38 - q**3/57 - 3*q**2/19 + 629*q. Factor j(p).
2*(p + 1)**3*(8*p - 3)/19
Suppose 4*u = 4*z + 8, 2151*z - 2154*z = -5*u + 10. Let 0 - 2/7*y**4 + 2/7*y**u + 4/7*y - 4/7*y**3 = 0. What is y?
-2, -1, 0, 1
Let q be 3/(7*12/(-168)) + 31/5. Let b(m) be the second derivative of 0 - 1/50*m**5 + 0*m**3 - 4*m + 0*m**2 + q*m**4. Let b(y) = 0. What is y?
0, 6
Let m(q) be the second derivative of q**5/30 - 7*q**4/6 + 71*q**2/2 - 158*q. Let j(n) be the first derivative of m(n). Factor j(f).
2*f*(f - 14)
Let f = -162891 + 162894. Factor 0 + 8*x**2 + 28/3*x - 4/3*x**f.
-4*x*(x - 7)*(x + 1)/3
What is g in 81/2*g**3 + 3/2*g**4 - 864 + 300*g**2 + 522*g = 0?
-16, -6, 1
Let n(w) be the second derivative of 82*w - 4/5*w**2 + 4/15*w**3 - 1/30*w**4 - 1. Find s, given that n(s) = 0.
2
Let o(c) = 16*c**2 - 88*c - 950. Let y(p) be the second derivative of -p**4/12 - p**2/2 + 68*p + 1. Let d(x) = -2*o(x) - 36*y(x). Find a, given that d(a) = 0.
-22
Factor -80*s**3 + 222*s**4 - 552*s**2 - 449*s**4 + 229*s**4 - 98*s**3.
2*s**2*(s - 92)*(s + 3)
Suppose 52*a - 89*a + 185 = 0. Let l(w) be the third derivative of 1/630*w**a + 0*w + 1/1260*w**6 - 11*w**2 + 0 + 0*w**4 + 0*w**3. Factor l(s).
2*s**2*(s + 1)/21
Let l(g) be the first derivative of 4/3*g**3 + 1/3*g**4 - 27 - 11*g + 0*g**2 - 1/5*g**5. Let r(p) be the first derivative of l(p). Factor r(f).
-4*f*(f - 2)*(f + 1)
Let y(n) be the third derivative of n**6/60 - 323*n**5/30 - n**4/12 + 323*n**3/3 + 6*n**2 - 817. Let y(l) = 0. Calculate l.
-1, 1, 323
Suppose 58*w - 464 = 94*w - 268*w. Let z(d) be the second derivative of 0 + 12*d - 1/60*d**4 + 0*d**w - 1/5*d**3. Factor z(i).
-i*(i + 6)/5
Let f(r) be the first derivative of r**5 - 65*r**4/4 + 50*r**3 + 3108. What is z in f(z) = 0?
0, 3, 10
Let x(m) be the third derivative of 31/100*m**6 + 0*m**3 + 0 + 0*m - 361/525*m**7 + 1/5*m**5 - 2/15*m**4 + 1/10*m**8 + 7*m**2. Let x(r) = 0. Calculate r.
-2/7, 0, 1/4, 1/3, 4
Let g be ((-6)/(-4))/1*((-144)/12 + 14). Let u(c) be the third derivative of 0*c + 0 - 6*c**2 + 1/75*c**5 + 1/15*c**4 + 2/15*c**g. Let u(a) = 0. Calculate a.
-1
Factor 27/4*r**4 + 25/4*r**3 + r + 0 - 14*r**2.
r*(r - 1)*(r + 2)*(27*r - 2)/4
Let m(w) be the second derivative of w**5/50 - 128*w**4/15 + 15589*w**3/15 + 102966*w**2/5 - 11*w - 188. Factor m(s).
2*(s - 131)**2*(s + 6)/5
Let t be (3/1*3/(-3))/(-1). Let q be 14/5*(11 - (-171)/(-76)). Determine w, given that -q*w**t + 33/2*w + 9/2 + 7/2*w**2 = 0.
-3/7, 1
Determine h, given that 294 + 189658*h**3 - 189661*h**3 + 64*h - 295*h + 48*h**2 = 0.
2, 7
Let n(w) be the first derivative of -1/30*w**4 - 47 - 16/15*w**3 - 11*w**2 - 484/15*w. Suppose n(c) = 0. Calculate c.
-11, -2
Let a(b) be the third derivative of b**5/45 + 145*b**4/9 + 42050*b**3/9 + 2*b**2 - 222*b. Find r, given that a(r) = 0.
-145
Let -7*a + 7*a**3 + 46/3 + 1/3*a**4 - 47/3*a**2 = 0. Calculate a.
-23, -1, 1, 2
Let h(u) be the first derivative of 3*u**4/16 - 33*u**3/2 - 2253*u**2/8 - 513*u + 610. Factor h(g).
3*(g - 76)*(g + 1)*(g + 9)/4
Suppose -2*t - 30*u - 370 = -51*u, -2*u = 2*t - 44. Let 4*x**2 - 34/9 - 2/9*x**t + 32/9*x - 32/9*x**3 = 0. Calculate x.
-17, -1, 1
Let h(m) be the 