 0?
-10, 0, 2/9, 1
Suppose 94*w = 5849 - 2089. Let y(i) be the first derivative of -27 + 50*i**3 - 35/4*i**4 - 90*i**2 + w*i. Factor y(z).
-5*(z - 2)**2*(7*z - 2)
Let s(r) = -r**3 - 15*r**2 + r + 2. Let c(q) = -9*q**3 - 135*q**2 + 213*q + 1797. Let n(x) = c(x) - 6*s(x). Factor n(m).
-3*(m - 7)*(m + 5)*(m + 17)
Let l be (-2)/(-4 + 7 - 5). Let a(d) = d**2 + d + 1. Let q(f) = -5*f**2 - 5. Let s = 184 - 174. Let h(v) = l*q(v) + s*a(v). Determine i so that h(i) = 0.
-1
Let l(d) be the third derivative of 0*d**4 + 0*d**3 + 3/40*d**6 + 2/35*d**7 + 1/30*d**5 - 6*d**2 + 0*d + 5/336*d**8 + 1. Factor l(p).
p**2*(p + 1)**2*(5*p + 2)
Suppose 148*v = -22*v - 59*v + 458. Let w(x) be the second derivative of 0 - 1/8*x**5 - 5/12*x**4 + 5/12*x**3 + 5/2*x**v + 35*x. Solve w(s) = 0 for s.
-2, -1, 1
Let p(b) be the first derivative of -5*b**6/6 - 207*b**5/5 + 343*b**4/4 - 15*b**3 - 43*b**2 + 8028. Find i such that p(i) = 0.
-43, -2/5, 0, 1
Find u, given that -26508/5*u - 415292/5 - 564/5*u**2 - 4/5*u**3 = 0.
-47
Let h(c) be the third derivative of -c**5/360 - 7*c**4/72 - 10*c**3/9 - 3*c**2 + 457. Factor h(l).
-(l + 4)*(l + 10)/6
Let h(l) = -3*l**3 + l**2 - 2*l + 2. Let x be h(1). Let v be x/8 + 170/8 + -1. Factor -4 - 5*y**3 + 5*y + 4 + v*y**3 - 20*y**2.
5*y*(y - 1)*(3*y - 1)
Let i(n) be the first derivative of -7/2*n**2 + 47 + 8/3*n**3 - 1/4*n**4 + 0*n. Factor i(z).
-z*(z - 7)*(z - 1)
Let n(i) be the first derivative of 2*i**5/45 - 2*i**4/3 + 10*i**3/3 - 6*i**2 + 1942. Factor n(r).
2*r*(r - 6)*(r - 3)**2/9
Let 3/8*q**2 + 453/4*q + 903/8 = 0. Calculate q.
-301, -1
Solve -69/5*y + 4/5*y**2 - 54/5 = 0 for y.
-3/4, 18
Let d = 34018 + -34016. Solve -18/5*p**3 + 12/5*p + 0 + 10*p**d = 0 for p.
-2/9, 0, 3
Determine r so that -258/11 + 2/11*r**2 + 80/11*r = 0.
-43, 3
Let b be 7 + (-4)/1 + -1. Let -f**b + 8*f - 18 + 5*f + 3*f + 2*f**2 + f = 0. Calculate f.
-18, 1
Let v(a) be the first derivative of 4/3*a**3 + 4*a**2 + 13 - 16*a. Let p(h) = h**2. Let n(b) = -5*p(b) + v(b). Solve n(d) = 0.
4
Solve 68*r**4 + 234 + 1344*r + 242*r**3 + 30*r**4 + 1813*r**2 + 655*r**2 + 1214*r**3 = 0.
-13, -1, -3/7
Let c(k) = 27*k**2 + 23*k + 29. Let i(s) = -2 - 13 + s**2 - 6*s**2 + 9 - 5*s. Let m(v) = 2*c(v) + 11*i(v). Factor m(d).
-(d + 1)*(d + 8)
Let k be (6 + -4 + -4)/(-1). Factor -2*v**2 + 5*v**k - 5*v**2 - 6125 - 3*v**2 + 19*v + 331*v.
-5*(v - 35)**2
Let r(i) = -6*i + i + 7*i**2 + 1 - 2 - 1. Let z(v) = -v**2 + v. Suppose -5*u + 4*u = 5, 5*n - 10 = -4*u. Let x(g) = n*z(g) + r(g). Factor x(y).
(y - 1)*(y + 2)
Let v(m) = -2*m**3 - 5*m**2 - m - 6. Let y be v(-4). Suppose 2*g + y - 52 = 0. Factor -3*a**2 - 12*a**2 + 12*a**g - 12*a**4 + 21*a**2 - 5 - 15*a + 3*a**5 + 11.
3*(a - 2)*(a - 1)**3*(a + 1)
Suppose 0 = -291*s + 293*s - 10. Factor 2*t**3 - 5*t**4 - 49 + 14*t**2 + t**s + 40 - 84*t + 81*t.
(t - 3)**2*(t - 1)*(t + 1)**2
Factor -64/15*h**2 + 512/15*h + 2/15*h**3 + 0.
2*h*(h - 16)**2/15
Factor 1/6*m**5 + 9*m + 3/2*m**2 + 0 - 5/2*m**3 - 1/6*m**4.
m*(m - 3)**2*(m + 2)*(m + 3)/6
Let l(q) be the third derivative of 1/12*q**5 + 237*q**2 + 0*q**3 + 1/24*q**6 - 5/12*q**4 + 2 + 0*q. Factor l(d).
5*d*(d - 1)*(d + 2)
Let q(y) be the second derivative of -y**5/100 + 7*y**4/10 + 43*y**3/30 + 402*y. Factor q(f).
-f*(f - 43)*(f + 1)/5
Let v(b) be the third derivative of 0*b**3 + 1/80*b**6 - 1/8*b**4 - 1/40*b**5 + 0*b - 96 + b**2. Determine u so that v(u) = 0.
-1, 0, 2
Suppose -r + 32 = 3*r - 3*h, -8 = -r - h. Let w(n) = 4*n**3 + 304*n**2 + 2028*n. Let d(y) = -y**3 - 101*y**2 - 676*y. Let k(q) = r*d(q) + 3*w(q). Factor k(l).
4*l*(l + 13)**2
Let p be 1/4 - 66/(-24). Suppose p*h + 4 = 19. Factor -h*u**2 + 0*u**2 + 19*u - 30 + u + 15*u.
-5*(u - 6)*(u - 1)
Let h(s) be the third derivative of 8/3*s**4 - 20*s**2 + 0*s - 2/5*s**7 + 61/30*s**6 + 0*s**3 - 56/15*s**5 + 3/112*s**8 + 0. Find v, given that h(v) = 0.
0, 2/3, 4
Let c(i) be the first derivative of i**6/18 - 5*i**5/3 - 12*i**4 - 184*i**3/9 + 56*i**2/3 + 80*i + 5276. What is k in c(k) = 0?
-2, 1, 30
Suppose 4*l = -m - 2, -184*l - 5*m = -187*l + 10. Let a(q) be the third derivative of l*q**3 - 1/72*q**4 + 0*q**5 - 31*q**2 + 1/360*q**6 + 0 + 0*q. Factor a(n).
n*(n - 1)*(n + 1)/3
Factor 305 - 46*h**2 - 26*h**2 - 5*h**4 - 310*h**3 + 310*h - 228*h**2.
-5*(h - 1)*(h + 1)**2*(h + 61)
Suppose 4*p = -401*w + 403*w - 30, 4*p = 6*w - 106. Factor -2 - 2/5*j + 2/5*j**3 + 2*j**p.
2*(j - 1)*(j + 1)*(j + 5)/5
Let i = -1260 + 2060. Let m be (i/6)/16 + -8. Factor 0 + 1/3*f**3 - 1/6*f**4 + 1/6*f**2 - m*f.
-f*(f - 2)*(f - 1)*(f + 1)/6
Suppose 1888*d + 589894 = -6048*d + 4286050 + 3525604. Factor 147*m**3 + 508/3*m - d*m**2 - 8.
(m - 6)*(21*m - 2)**2/3
Let u(r) be the first derivative of -r + 1/3*r**3 - 1/12*r**4 - 144 + 1/6*r**2. Factor u(h).
-(h - 3)*(h - 1)*(h + 1)/3
Factor -67*z**2 - 108*z + 87*z**2 - 2*z**4 + 138*z**2 - 48*z**3.
-2*z*(z - 2)*(z - 1)*(z + 27)
Suppose -865*a + 372 + 1064 = -506*a. Factor 30/7*w**a + 24/7*w**3 + 0 - 8/7*w**2 + 8/7*w**5 + 0*w.
2*w**2*(w + 2)**2*(4*w - 1)/7
Let y(j) be the first derivative of 88/9*j**2 - 104/9*j**3 - 32/9*j - 206 + 2/9*j**6 + 61/9*j**4 - 88/45*j**5. Determine v, given that y(v) = 0.
1/3, 1, 2
Let o(b) be the second derivative of b**6/120 + b**5/40 - b**4/6 - 3*b**3/4 - 9*b**2/8 - 4*b - 118. Factor o(z).
(z - 3)*(z + 1)**2*(z + 3)/4
Factor -4864/7*m + 1478656/7 + 4/7*m**2.
4*(m - 608)**2/7
Let s = -53 - -57. What is h in -826*h**3 - 2200 - 6175*h + 141*h**3 - 25*h**s + 510 - 5145*h**2 = 0?
-13, -1, -2/5
Solve 282/5 - 56*a - 2/5*a**2 = 0.
-141, 1
Let b = 28976 - 28973. Factor 6*w**2 + 54*w + 162 + 2/9*w**b.
2*(w + 9)**3/9
Let d be (-8)/(-6) - (-4)/6. Suppose 3*n - 7*p + 56 = 0, -80*n + 32 = -83*n + 4*p. Let 4/11*f**d + n + 2/11*f = 0. Calculate f.
-1/2, 0
Let a be ((-4410)/45)/98 - (-2 - -1). Solve 64/5*h**2 + a + 2/5*h = 0.
-1/32, 0
Let u = 31 + -28. Factor 8 - 3*a**u - 35 - 53*a**2 - 57*a + 20*a**2.
-3*(a + 1)**2*(a + 9)
Let g be 6 + 856/(-416) + 318/(-1272). Find r such that -68/13*r**3 + 38/13*r**4 + g*r - 152/13*r**2 + 0 + 14/13*r**5 = 0.
-3, -2, 0, 2/7, 2
Let q(c) be the second derivative of 5*c**4/48 + 635*c**3/24 + 315*c**2/4 - 45*c - 15. Let q(l) = 0. Calculate l.
-126, -1
Factor 1622*g + 2*g**2 + 3053 + 2987 - 7664.
2*(g - 1)*(g + 812)
Let p(l) = -l**2 + 66*l - 648. Let v be p(19). Let c(f) be the first derivative of -35*f**2 + v*f + 5/3*f**3 + 4. Find h such that c(h) = 0.
7
Factor 1/3*l**3 - 25*l - 38/3 - 12*l**2.
(l - 38)*(l + 1)**2/3
Factor -b**5 + 14 - 2*b**2 + 129*b - 128*b**3 - 18 - 18 + 66*b**4 - 3 - 39.
-(b - 64)*(b - 1)**3*(b + 1)
Let q(c) = 3*c**2 + 5*c - 27. Let x(d) = -3*d**2 - d**2 + 30 + 1436*d - 1440*d. Let v(k) = -6*q(k) - 5*x(k). Factor v(g).
2*(g - 3)*(g - 2)
Let l(f) = -35*f**2 + 65*f + 15. Let a(g) = -35*g**2 + 64*g + 16. Suppose 13 = 2*c + 5. Let z(h) = c*l(h) - 5*a(h). Find w such that z(w) = 0.
-2/7, 2
Let m(x) be the third derivative of -x**6/600 - x**5/75 - x**4/30 - 92*x**2 - 2*x. Factor m(a).
-a*(a + 2)**2/5
Let m(u) = -272*u + 61203. Let x be m(225). Factor 2/9*c**4 - 22/9*c**2 - 8/9*c**x - 16 + 44/3*c.
2*(c - 3)**2*(c - 2)*(c + 4)/9
Suppose 3*a - 33 = -3*f, 2*f = 2*a + 24 + 6. Suppose -j = -5*m + 2*m + 18, 0 = -m - 2*j + f. Factor -21*c**2 + 2*c + m + 19*c**2 - 5 - 2*c**3.
-2*(c - 1)*(c + 1)**2
Let x(k) = k. Let u be x(3). Let b(o) = -3396*o - 10183. Let d be b(-3). Determine v so that -5/2*v**d + 0 + 7/2*v**4 + 3/2*v**u - 7/2*v**2 + v = 0.
-1, 0, 2/5, 1
Suppose 4*a + 2 - 10 = 3*t, 0 = 2*t - 2*a + 4. Determine m so that -m**4 - 61*m**3 + 47*m**3 + t*m**4 + 15*m**2 = 0.
-15, 0, 1
Suppose -154 = -8*i + 30*i. Let b be (-50)/45*(-8 - i) - 1. Suppose b*n**3 - 1/9*n + 2/9*n**2 - 2/9 = 0. What is n?
-2, -1, 1
Let a(r) be the third derivative of 40*r + 0*r**4 - 1/60*r**6 - 1/210*r**7 + 0*r**3 + 0*r**5 - 5*r**2 + 0. Determine h, given that a(h) = 0.
-2, 0
Suppose -4*q + 5*q = 5*l - 17, -29 = -3*q - l. Suppose 10*y - 6*y = q. Suppose -2*b**2 + y*b**4 + 61*b**3 + 64*b**3 - 123*b**3 - 2*b = 0. What is b?
-1, 0, 1
Let h(v) be the second derivative of v**4/66 + 40*v**3/11 + 351*v**2/11 + 2*v + 6324. Factor h(g).
2*(g + 3)*(g + 117)/11
Suppose -95 = -3*y - 37*u + 38*u, 0 = -3*u + 12. Let k(s) be the first derivative of y + 2/45*s**5 + 1/18*s**4 - 2/9*s**3 - 5/9*s**2 - 4/9*s. Factor k(x).
2*(x - 2)*(x +