 w in p(w) = 0?
-88, 0
Let t(s) be the third derivative of -1/6*s**4 - 76*s**2 + 1/210*s**7 + 0 + 0*s - 1/20*s**6 + 0*s**3 + 3/20*s**5. Solve t(k) = 0.
0, 1, 4
Let p(x) = -15*x**3 + 474*x**2 - 1443*x + 726. Let b(t) = -17*t**3 + 432*t**2 - 1443*t + 727. Let h(d) = -6*b(d) + 7*p(d). Factor h(r).
-3*(r - 240)*(r - 1)**2
Let x(i) = 3*i**2 + 51*i + 218. Let c be x(-8). Let f be -1*3*5/(-90). Factor 0 + j**c - f*j**3 + 0*j.
-j**2*(j - 6)/6
Let v(n) be the first derivative of -593*n**4/4 - 1187*n**3/3 - n**2 - 384. Factor v(u).
-u*(u + 2)*(593*u + 1)
Let v(w) = -6*w**2 - 12*w - 16. Let b(o) = -7*o**2 - 12*o - 15. Let m(n) = 7*b(n) - 6*v(n). Let f(i) = 2*i**2 + i. Let y(x) = -6*f(x) - m(x). Factor y(k).
(k + 3)**2
Let k(g) be the second derivative of g**6/75 + 7*g**5/50 + g**4/2 + 13*g**3/15 + 4*g**2/5 + 23*g + 8. Solve k(x) = 0.
-4, -1
Let z be -23*(-20)/8*(-289)/(-2890) + -5. Suppose -93/2*j + 2883/4 + z*j**2 = 0. Calculate j.
31
Suppose 30*z + 3*z - 132 = 0. Find j such that 215*j**2 - 52*j - 115*j**3 + 54*j + 5*j**z - 67*j - 40*j = 0.
0, 1, 21
Suppose -s - 4 = 5*l, -5*s - 3*l - 18 = -7*s. Suppose 11 - 11 - s*i + 6*i**2 - 3*i**2 = 0. Calculate i.
0, 2
Let -300*j**2 + 76*j - 238*j**2 + 568*j**2 - 7*j**3 - 24 = 0. Calculate j.
-2, 2/7, 6
Suppose -6*d - 93 + 111 = 0. Find o such that o**2 + 4*o**2 + d*o**2 + o**2 - 6 - 3*o + 0*o = 0.
-2/3, 1
Let q(i) be the second derivative of -i**6/15 + 247*i**5/10 + 497*i**4/6 + 83*i**3 - 1941*i. Factor q(n).
-2*n*(n - 249)*(n + 1)**2
Let j = 71/17 - 321/85. Let t(f) be the first derivative of 0*f + 24 + 0*f**4 + 0*f**3 + 0*f**2 + 1/6*f**6 - j*f**5. Suppose t(k) = 0. What is k?
0, 2
Let u = 456 - 406. Let a be 57/30 + (-20)/u. Factor a - 2*n + 1/2*n**2.
(n - 3)*(n - 1)/2
Let u(z) be the first derivative of -z**6/2 + 51*z**5/5 + 195*z**4/2 + 190*z**3 - 387*z**2/2 - 621*z - 560. Let u(y) = 0. Calculate y.
-3, -1, 1, 23
Let j(m) = 24*m**3 + 4*m**2 - 20*m. Let d(x) = 5*x**3 + x**2 - 4*x. Suppose 68 = 4*b - l - 40, -5*b - l = -144. Let v(a) = b*d(a) - 6*j(a). Factor v(s).
-4*s*(s - 2)*(s + 1)
Let -610/7*l + 608/7 + 2/7*l**2 = 0. What is l?
1, 304
Let h be 3 + 4 + (-3)/3. Suppose -h*b + 3*q + 48 = -b, -q + 26 = 3*b. Factor 5*d**2 + 30*d + 19 + 17 + b.
5*(d + 3)**2
Let p(l) = 28*l + 58. Let g be p(-2). Suppose 105*m**2 + 28*m - 216*m**g + 113*m**2 + 26 = 0. Calculate m.
-13, -1
Find a, given that 6 - 117*a**2 - 16 + 287*a**2 + 10 - 168*a**3 - 2*a**4 = 0.
-85, 0, 1
Let b(x) be the third derivative of 2/5*x**4 - 101/200*x**6 - 6/175*x**7 + 0*x**3 - 112*x**2 + 0*x - 19/50*x**5 + 0. Determine g so that b(g) = 0.
-8, -2/3, 0, 1/4
Determine n, given that -331*n + 991/2*n**2 + 0 + 665/2*n**3 + n**4 = 0.
-331, -2, 0, 1/2
Suppose 0*g + 10 = 5*g. Let y be (-1)/5 + (-34 - (-20202)/585). Solve -y*m**g + m + 10/3 = 0.
-2, 5
Suppose -5*c + 24 = 9. Suppose -4*m - 5*o = 0, 0 = c*m + 4*o - 0*o. Suppose -2/3*l**2 - 2/3*l + m = 0. Calculate l.
-1, 0
Let p(j) = 33*j**2 + 4692*j - 917260. Let w(m) = -5*m**2 - 782*m + 152877. Let d(g) = -6*p(g) - 39*w(g). Factor d(r).
-3*(r - 391)**2
Let p(t) be the first derivative of -60 + 4/3*t**3 - 28*t - 12*t**2. Factor p(h).
4*(h - 7)*(h + 1)
Suppose 20*p - 960 = 16*p. Solve 606 + 2274 - p*g + 5*g**2 + 0*g**2 = 0.
24
Suppose 106*t - 14 = 104*t. Factor 8 + t*h - 39*h**3 + 16*h**3 + 19*h**3 + 5*h.
-4*(h - 2)*(h + 1)**2
Let d(l) = -9*l**3 + 21*l**2 - 13*l - 5. Let g(a) = 9*a**3 - 20*a**2 + 12*a + 4. Let n = -461 + 455. Let c(f) = n*g(f) - 5*d(f). Factor c(p).
-(p - 1)*(3*p - 1)**2
Factor -41*y**2 + 0*y**3 + 0*y**3 - 7203 + 3*y**3 + 4509*y + 332*y**2 + 2400*y.
3*(y - 1)*(y + 49)**2
Factor -1632/5*q - 1812/5*q**2 + 0 + 27/5*q**3.
3*q*(q - 68)*(9*q + 8)/5
Suppose -6*d = 14*d - 40. Let h be (-6)/27 - (770/(-63) - -9). Factor 2/7*w**4 + 8/7*w**h + 0 + 10/7*w**d + 4/7*w.
2*w*(w + 1)**2*(w + 2)/7
Let z = 91 - 94. Let i be ((-150)/(-360))/(z/36*-2). Factor -i*y - 25/2 - 1/8*y**2.
-(y + 10)**2/8
Let b = -48/43 - -1051/903. Let r(x) be the first derivative of -9 + 0*x + 1/14*x**2 - b*x**3 + 1/35*x**5 - 1/28*x**4. Factor r(n).
n*(n - 1)**2*(n + 1)/7
Let p(b) = -2*b - 24. Let i be p(-14). Factor 11*a**3 + 2*a**3 - 5*a**i - 4*a**3 + 15*a**2 + a**3.
-5*a**2*(a - 3)*(a + 1)
Let l(p) be the third derivative of p**5/150 - 53*p**4/20 + 1543*p**2. What is u in l(u) = 0?
0, 159
Let l be (16 - 15)*(-630)/(-14). Let v be 32/4*(-1)/(-2). Factor -259*s**3 + l*s**2 + 160*s**3 + 5*s**v + 129*s**3.
5*s**2*(s + 3)**2
Let m be 216/(-378) - (-484)/14. Factor -11*g**2 + 1296 + m*g**2 - 72*g - 22*g**2.
(g - 36)**2
Suppose 0 = -5*a - 25, r + 3*a = -9 - 3. Let b(q) = 3*q**3 - 8*q**2 + q + 5. Let f be b(3). Factor -35*d + 20*d**r - 5*d**2 - 5*d**2 + 12*d**3 - f*d**3 - 10.
5*(d - 2)*(d + 1)*(3*d + 1)
Let n(t) = -5*t**2 + 594*t + 4429. Let h be n(-7). Factor h*q - 169/2*q**2 - 2.
-(13*q - 2)**2/2
Let x = 178329 - 178325. Find f, given that -36/11*f**3 - 6/11*f**x - 60/11*f - 18/11 - 72/11*f**2 = 0.
-3, -1
Suppose -36*p = -32*p + f + 44, 5*p = -f - 56. Let d be (13 - -115)*(20/p + 2). Let 32/3*o - d - 2/3*o**2 = 0. What is o?
8
Let t(c) = -2798*c + 114723. Let x be t(41). Factor -1/2*r**2 - x + 11/2*r.
-(r - 10)*(r - 1)/2
Let a = 331 - 329. Factor -110*i**2 + 3*i + 109*i**a + 0*i.
-i*(i - 3)
Let b = 2516 - 2516. Let i(c) be the second derivative of 2*c**3 + b + 8*c + 12*c**2 + 1/8*c**4. Factor i(l).
3*(l + 4)**2/2
Let r(n) = -n**4 + 2*n**3 - 2*n**2. Let c(f) = 8*f**4 - 61*f**3 + 334*f**2 - 912*f + 960. Let y(a) = c(a) + 5*r(a). Factor y(q).
3*(q - 5)*(q - 4)**3
Factor 2/7*o**2 - 4/7*o + 2/7*o**3 + 0.
2*o*(o - 1)*(o + 2)/7
Let n be 2544/(-1060)*10/(-16) + 3/2. Factor 17/3 + 1/3*a**n + 35/3*a + 19/3*a**2.
(a + 1)**2*(a + 17)/3
Let w(r) = -3*r**3 + 678*r**2 - 1347*r + 684. Let x(k) = -2*k**2 + 4*k. Let g(j) = -w(j) + 6*x(j). Suppose g(i) = 0. What is i?
1, 228
Factor 8/15*b**2 - 12/5 + 2/15*b**3 - 2/5*b.
2*(b - 2)*(b + 3)**2/15
What is s in -4948/3*s + 6120676/3 + 1/3*s**2 = 0?
2474
Let f(t) be the third derivative of t**6/8 - 197*t**5/12 - 1885*t**4/8 - 1775*t**3/6 - 2*t**2 - 338*t - 5. Factor f(c).
5*(c - 71)*(c + 5)*(3*c + 1)
Let i(p) = 24*p**2 - 37*p + 498. Let f(q) = -5*q**2 + 6. Let j(x) = 5*f(x) + i(x). Suppose j(s) = 0. Calculate s.
-48, 11
Determine f, given that 50012667/4 + 12249/2*f + 3/4*f**2 = 0.
-4083
Let p(i) be the second derivative of 6*i**2 - 64/3*i**3 + 0 + 26*i + 4/3*i**4 - 1/30*i**5. Let m(y) be the first derivative of p(y). Factor m(n).
-2*(n - 8)**2
Factor -358*q - 1 - 956*q**2 + 306*q + 152*q + 143*q.
-(4*q - 1)*(239*q - 1)
Let a(s) be the second derivative of -s**4/6 + 17*s**3/3 + 684*s**2 - 13*s - 70. Let a(z) = 0. Calculate z.
-19, 36
Suppose -4*j + 2216 = 200. Let a = 7562/15 - j. Find r such that -a*r**3 + 2/15 - 2/5*r + 2/5*r**2 = 0.
1
Let z be (-74)/(-15) - 15184/3504. Let -z*k**2 - 9/5*k - 6/5 = 0. Calculate k.
-2, -1
Suppose a + 5*o = -58 + 10, 4*a = o + 18. Determine w so that -1/2*w**3 - 12*w - 10 - 9/2*w**a = 0.
-5, -2
Let s be (-1)/(3*(-7)/210). Solve 21*g**2 - 4*g**2 - 7*g**2 - 5*g**2 - s*g = 0 for g.
0, 2
Let z be ((-8559)/4755)/(2/(-6)). Factor 24/5*d**2 + z*d**3 + 0*d + 3/5*d**4 + 0.
3*d**2*(d + 1)*(d + 8)/5
Factor -42/11*f - 28/11*f**2 + 180/11 + 2/11*f**3.
2*(f - 15)*(f - 2)*(f + 3)/11
Let p(k) = 7*k**3 + 45*k**2 + 141*k + 131. Suppose 32*f - 301 = -813. Let b(l) = -36*l**3 - 224*l**2 - 704*l - 656. Let o(r) = f*p(r) - 3*b(r). Factor o(c).
-4*(c + 2)**2*(c + 8)
Suppose 4*u - 5*a = 6 + 29, 2*a = -5*u + 19. Suppose u*z + t - 10 = -t, -2*t = 0. Solve -p + 1/3*p**z + 2/3 = 0 for p.
1, 2
Let o(d) be the second derivative of -d**5/10 - 3*d**4/2 + 4*d**3/3 + 36*d**2 + 196*d - 4. Factor o(p).
-2*(p - 2)*(p + 2)*(p + 9)
Factor 2/7*q**2 - 396/7*q + 0.
2*q*(q - 198)/7
Let k(t) = -7*t**2 + 3*t - 3. Let l be k(2). Let c be (-80)/l + (-2)/10. Find a, given that 9*a**4 + 0 + 15*a - 6 - 15*a**c - 3*a**2 + 0 = 0.
-1, 2/3, 1
Let t = 5548913/8 + -693614. Suppose t*o**2 - 3/2*o + 5/2 = 0. What is o?
2, 10
Let b be 30/36 + ((-39)/26 - (-55)/15). Let u(k) be the third derivative of 1/12*k**5 - 5/2*k**b + 0*k + 5/12*k**4 + 0 + 31*k**2. Factor u(w).
5*(w - 1)*(w + 3)
Let s(f) be the first derivative of -f**6/360 + f**5/20 - f**4/3 - 46*f**3/3 - 90. Let g(k) be the third derivative of s(k). Factor g(a).
-(a - 4)*(a - 2)
Su