 + 3*m**2 + 5*m. Factor d(j).
2*(j - 50)*(j - 1)/13
Let z = -148 - -180. Suppose 0 = -3*x - 5*w - z + 23, 2*w - 2 = -4*x. Factor 3/5 + 1/5*g**3 + g**x + 7/5*g.
(g + 1)**2*(g + 3)/5
Let h be 2/(-12) + ((-1406)/(-12))/19. Factor b**2 - 38*b - 17*b - h*b**2 - 105*b - 1280.
-5*(b + 16)**2
Let u be -3 - ((4/4 - 1) + -5). Suppose -5*l**3 - 260*l**4 + 127*l**4 + 128*l**4 + 5*l + 5*l**u = 0. What is l?
-1, 0, 1
Factor 1174/5*t + 0 - 2/15*t**2.
-2*t*(t - 1761)/15
Suppose 200*s - 407*s = 867*s - 4296. Let -117*n**s + 132*n**3 - 9*n**5 + 224/3*n**2 + 112/3 - 128*n = 0. Calculate n.
-14, -1, 2/3
Let z(a) be the third derivative of 52/9*a**5 + 0*a + 1/1575*a**7 + 102*a**2 + 0 - 289/5*a**3 - 17/30*a**4 + 17/150*a**6. Determine n, given that z(n) = 0.
-51, -1, 1
Let z(q) = -4*q**2 - 36*q + 48. Let v(y) = y**2 - 4*y - 9. Let j be v(5). Let u(w) = -8*w**2 - 73*w + 95. Let p(d) = j*u(d) + 7*z(d). Let p(l) = 0. Calculate l.
-11, 1
Let l = 7 - -1. Let t(i) = -i**3 - 2*i**2 - 3*i + 1. Let g be t(-1). Factor -2*f**3 + l*f**3 - 20 - 3*f**g - 36*f + f**3 - 12*f**2.
4*(f - 5)*(f + 1)**2
Suppose k - 2*k + 5*w + 3 = 0, k - 43 = -3*w. Suppose -k*x = -32*x, -2*f = x - 4. Factor -12/5*c**3 - 6/5*c + 3/5 - 21/5*c**f.
-3*(c + 1)**2*(4*c - 1)/5
Let g(o) = o**2 + 7*o - 15. Let r be g(-9). Factor -7*z - 96*z**2 - z**4 + 4*z**3 + 90*z**2 + r*z - 4*z + 4*z**3 + 7.
-(z - 7)*(z - 1)**2*(z + 1)
Let m = -12 + 22. Let t be (-14)/(-5) - (-2)/m. Find u such that 10*u**2 - u**4 - 8*u**t - 2*u**5 - 10*u**2 + 9*u**4 = 0.
0, 2
Let j be (2 - (-117)/(-15))*31/(-3). Let x = j + -178/3. Find q such that 12/5 + 3*q**2 - 24/5*q - x*q**3 = 0.
1, 2
Let p(h) be the second derivative of -169*h - 31/6*h**3 - 4*h**2 - 37/12*h**4 + 0 - 7/10*h**5. Determine f so that p(f) = 0.
-8/7, -1, -1/2
Let g(a) = -2*a**2 - 12*a + 16. Let h be g(-7). Solve 0 + 0 + 169*k**4 + 675*k**h + 90*k**3 - 166*k**4 = 0.
-15, 0
Let t(a) = a**3 + a. Let n(p) = 2*p**2 - 6*p**3 - 2 + 6*p**3 + 4*p**3 - 5*p**2 + p**4 - 2*p. Let o(h) = 5*n(h) - 15*t(h). Factor o(z).
5*(z - 2)*(z + 1)**3
Let s = 5321/6 - 886. Let t = s + -1/6. Let -t*y**2 + 4/3*y - 2/3*y**3 + 0 = 0. What is y?
-2, 0, 1
Let m(f) be the second derivative of -1/51*f**4 - 8 + 2*f + 9/17*f**2 + 4/17*f**3 + 1/255*f**6 - 2/85*f**5. Factor m(y).
2*(y - 3)**2*(y + 1)**2/17
Let j(p) = p**2 + 3*p. Let s(b) be the second derivative of 7*b**4/12 - b**3/6 - 10*b**2 + 45*b + 1. Let m(k) = -6*j(k) + s(k). Suppose m(t) = 0. Calculate t.
-1, 20
Let f(z) be the first derivative of -z**6/540 - z**5/90 + z**4/108 + z**3/9 + 4*z**2 + 2*z + 73. Let g(t) be the second derivative of f(t). Factor g(l).
-2*(l - 1)*(l + 1)*(l + 3)/9
Let r(k) be the third derivative of -k**6/480 - 133*k**5/240 + 269*k**4/96 - 45*k**3/8 - 17*k**2 - 5*k. Factor r(y).
-(y - 1)**2*(y + 135)/4
Let o(c) be the second derivative of -7*c**6/75 - 67*c**5/50 - 88*c**4/15 - 164*c**3/15 - 48*c**2/5 - 710*c. Let o(s) = 0. What is s?
-6, -2, -1, -4/7
Find s, given that -112/3*s**3 - 64/3*s - 48*s**2 + 0 - 4/3*s**5 - 12*s**4 = 0.
-4, -2, -1, 0
Find l such that -28779*l - 16*l**3 + 48*l**3 - 212*l**2 + 14507*l + 14392*l = 0.
0, 5/8, 6
Suppose -102/5*j + 6/5*j**5 - 15*j**4 + 42/5*j**2 + 96/5*j**3 + 33/5 = 0. Calculate j.
-1, 1/2, 1, 11
Suppose -9921*y + 1513*y + 9560*y**2 + 190*y**4 - 5*y**5 - 1300*y**2 + 19188*y - 2325*y**3 = 0. What is y?
-1, 0, 11, 14
Let p(t) be the third derivative of t**6/120 - 23*t**5/30 + 145*t**4/24 + 1682*t**3 - 2865*t**2. Let p(q) = 0. Calculate q.
-12, 29
Let r(u) be the first derivative of -u**6/180 - u**5/10 - 5*u**4/12 - 116*u**3/3 + 40. Let z(a) be the third derivative of r(a). Factor z(l).
-2*(l + 1)*(l + 5)
Let n be -5*(-6)/(-300) + 0 - 1407/(-670). Factor 2/7*j**3 - 1/7 - 3/7*j + 3/7*j**4 + 1/7*j**5 - 2/7*j**n.
(j - 1)*(j + 1)**4/7
Find p such that 5*p**2 - 485*p + 96*p - 125*p - 835 - 316*p = 0.
-1, 167
Let q(o) = 2*o**2 + 18*o - 90. Let m be q(4). Let b(r) be the second derivative of 1/28*r**4 + 0*r**2 - 1/14*r**3 - m*r + 0. Factor b(y).
3*y*(y - 1)/7
Let z(y) = y + y**3 - 7*y**3 - y**2 + 1 + 7*y**3 - 2. Let w(j) = -3*j**4 - 2*j**3 + 12*j**2 + 1. Let d(q) = 2*w(q) + 6*z(q). Determine n so that d(n) = 0.
-1, 1/3, 2
Solve 394*d + 70*d**2 + 210 - 61*d**3 - 119*d + 66*d**3 = 0.
-7, -6, -1
Let l(t) be the first derivative of -t**3/24 + 173*t**2/8 - 345*t/8 + 175. Factor l(n).
-(n - 345)*(n - 1)/8
Let y(g) be the first derivative of -38 + 5*g**2 - 12*g - 1/2*g**4 + 4/3*g**3. Suppose y(d) = 0. Calculate d.
-2, 1, 3
Let m(u) = 5*u**2 + 6*u + 16. Let c(v) = -2*v**2 - 2*v - 6. Let a(k) = 8*c(k) + 3*m(k). Let y(t) = 7*t**2. Let r(n) = -6*a(n) - y(n). Factor r(g).
-g*(g + 12)
Solve 61*u**2 - 12*u - 177*u**2 + 2*u**3 + 58*u**2 + 0*u**3 + 60*u**2 = 0.
-3, 0, 2
Let w(n) = -n**2 - n + 1. Let g(h) = -h**2 + 47*h + 27. Let r(v) = -23*v - 14. Let m(y) = -2*g(y) - 5*r(y). Let u(a) = -m(a) - 3*w(a). Let u(d) = 0. What is d?
-1, 19
Factor -32*r**5 - r**4 + 5*r**3 + 6*r**4 - 65*r**3 + 29*r**5 + 8*r**5.
5*r**3*(r - 3)*(r + 4)
Let n be (-20 - -34)*60/14. Let o be (4/(-35))/(((-88)/n)/11). Factor 15/7*p**5 + 3/7*p**3 + 0*p + 24/7*p**4 - o*p**2 + 0.
3*p**2*(p + 1)**2*(5*p - 2)/7
Let x(b) = b**2 + b + 1. Let l = -122 - -131. Suppose -17 = 4*d - l. Let a(r) = -r**2 - 6*r + 1. Let y(h) = d*a(h) - 4*x(h). Determine q so that y(q) = 0.
1, 3
Find z such that 68/3*z**3 + 2/3*z**5 - 14*z**4 + 56*z**2 + 0 - 304/3*z = 0.
-2, 0, 2, 19
Let u(m) = -m**2 - 19*m - 43. Let n(c) = 3*c + 3. Let k = -52 + 49. Let f(y) = -4*y - 4. Let z(d) = k*n(d) - 2*f(d). Let a(q) = 5*u(q) - 35*z(q). Factor a(p).
-5*(p + 6)**2
Let a(i) be the third derivative of 1/30*i**6 - 26*i**2 + 3*i + 0 + 11/24*i**4 + 13/60*i**5 + 1/3*i**3. Let a(f) = 0. Calculate f.
-2, -1, -1/4
Let l = 778 + -757. Suppose 32 + 10 = l*k. Suppose 0 + 2/7*z**5 + 8/7*z + 26/7*z**3 - 12/7*z**4 - 24/7*z**k = 0. What is z?
0, 1, 2
Let j(x) = 40*x**2 - 54*x - 51. Let p be j(-1). Let n(r) be the first derivative of 3/4*r**4 - 8*r**2 + p - 12*r + 5/3*r**3. Solve n(b) = 0.
-3, -2/3, 2
Let o(b) be the first derivative of 5*b**3/3 - 1755*b**2 + 616005*b - 191. Solve o(z) = 0 for z.
351
Let v = 83035 - 415169/5. Let x(d) = -d**2 - 2*d + 4. Let a be x(-3). Factor a + 1/5*m**2 - v*m.
(m - 5)*(m - 1)/5
Determine t so that -2*t**5 - 244*t**2 + 5/2*t**4 + 159/2*t**3 + 56*t + 0 = 0.
-7, 0, 1/4, 4
Factor 1080450 + 1/2*x**2 + 1470*x.
(x + 1470)**2/2
Let r(z) be the third derivative of 0*z**4 + 0*z**3 + 2*z + 9*z**2 + 1/60*z**6 - 1/5*z**5 + 0. Factor r(j).
2*j**2*(j - 6)
Let o(d) be the third derivative of -5*d**8/112 + 11*d**7/70 + 21*d**6/20 - 426*d**2 - d. Find i, given that o(i) = 0.
-2, 0, 21/5
Let n = 1563 + -1561. Let y be (-97 - -94)*n/(-33). Factor -y*v**4 + 0*v + 2/11*v**3 + 2/11*v**2 + 0 - 2/11*v**5.
-2*v**2*(v - 1)*(v + 1)**2/11
Let i(y) be the first derivative of y**5/5 + 5*y**4 - 22*y**3 + 34*y**2 - 23*y - 1575. Determine t, given that i(t) = 0.
-23, 1
Let a = -264839/3 - -87409. Let y = -868 - a. What is u in -2*u**2 - 2/3*u**4 + 8/3 - 8/3*u + y*u**3 = 0?
-1, 1, 2
Let d(m) be the second derivative of m**5/100 - 111*m**4/20 - 224*m**3/5 - 674*m**2/5 + 6999*m. Factor d(y).
(y - 337)*(y + 2)**2/5
Factor 1/2*a**2 + 17*a + 93/2.
(a + 3)*(a + 31)/2
Factor 0 - 2*r + 1/2*r**5 + 3/2*r**3 - 2*r**4 + 2*r**2.
r*(r - 2)**2*(r - 1)*(r + 1)/2
Suppose -218*j**2 - 22 + 112*j**2 + 109*j**2 - 5 = 0. What is j?
-3, 3
Let v(f) be the third derivative of f**7/840 + f**6/480 - 3*f**5/80 - 3*f**4/32 - 661*f**2. Factor v(a).
a*(a - 3)*(a + 1)*(a + 3)/4
Let k = -140 + 145. Let 2*y**3 - 10*y**5 + 7*y**k + y**3 = 0. What is y?
-1, 0, 1
Suppose -3*y = 5*n - 7, 1162*y - 1166*y = 4*n + 4. Factor 7/3*a**4 + 6*a**3 + 1/3*a**n + 20/3*a**2 + 8/3*a + 0.
a*(a + 1)*(a + 2)**3/3
Let w(i) = 1620*i**2 + 127985*i + 249645. Let j(o) = -o**3 + 6*o**2 + o + 1. Let v(x) = -5*j(x) + w(x). Determine c, given that v(c) = 0.
-158, -2
Let p(s) = s**2 + 4*s - 6. Let b be p(-8). Let x be (16/(-4))/(-4) + (-370)/962. Find l such that -b*l**2 - x - 8*l = 0.
-2/13
Solve 86/9*n**2 - 14/3*n + 82/9*n**3 - 6 + 8/9*n**4 = 0.
-9, -1, 3/4
Suppose 0 = 105*g - 1251*g + 5881 + 16037 + 1002. Suppose -400 - g*v - 1/4*v**2 = 0. What is v?
-40
Let h(o) be the second derivative of -o**5/150 - o**4/5 - 12*o**3/5 + 48*o**2 + 6*o + 12. Let n(d) be the fi