**2 + 319*y + 953*y.
-3*y*(y - 8)*(y + 53)
Suppose 43 + 5 = 16*s. Suppose 4*k**4 - 5*k**s - k**3 + 12*k - 3*k**3 - 3*k**3 - 4*k**2 = 0. What is k?
-1, 0, 1, 3
Let t(a) be the second derivative of 1/22*a**4 - 6/11*a**2 + 3/110*a**5 + 0 - 1/165*a**6 - 4*a - 7/33*a**3. Let t(w) = 0. Calculate w.
-1, 2, 3
Suppose 372*f = 164*f - 651*f + 3436. What is y in -8/5*y**3 + 0 + 0*y**2 + 0*y + 28/5*y**f = 0?
0, 2/7
Let i(z) be the second derivative of 1/42*z**7 + 44*z - 1/15*z**6 + 0 + 0*z**2 + 0*z**3 - 1/20*z**5 + 1/6*z**4. Suppose i(x) = 0. Calculate x.
-1, 0, 1, 2
Suppose 2*p + r - 5 = 3*p, -2*r - 2 = 4*p. Let n be 8*(p + (-25)/(-10)). Suppose 3*c**2 + n*c**2 - 8*c**2 - 3 + 4*c - 1 = 0. What is c?
2
Factor 2*a**3 - 547437 - 364*a - 186*a**2 + 547437 - 4*a**3.
-2*a*(a + 2)*(a + 91)
Let l = 63 + -59. Factor -9*w**2 + 0*w**3 + 12*w**3 + 9*w**2 + l*w**4 + 8*w**2.
4*w**2*(w + 1)*(w + 2)
Let b(m) be the third derivative of -2*m**7/105 - 77*m**6/30 - 481*m**5/5 + 507*m**4/2 - 2950*m**2. Determine s so that b(s) = 0.
-39, 0, 1
Let y be (-968)/6*3/(-2). Let q be (-42 + (-10582)/(-259))/(9*1/(-7)). Factor 88/3*k + q + y*k**2.
2*(33*k + 2)**2/9
Let i = 97 - 56. Let o = 47 - i. Suppose 8*p - 2*p**4 + 4*p**4 - o*p**3 - 8*p = 0. Calculate p.
0, 3
Suppose 0 = 15*i - 47*i + 96 - 29 - 3. Factor 0 - 27*k**3 - 4/3*k - 12*k**i.
-k*(9*k + 2)**2/3
Let n(r) be the third derivative of 9*r**6/100 + 109*r**5/150 + 28*r**4/15 + 4*r**3/15 - 5420*r**2. Factor n(k).
2*(k + 2)**2*(27*k + 1)/5
Let u(w) be the first derivative of -w**5/10 + 43*w**4/8 + 11*w**3 + w**2/2 - 6*w - 69. Let c(a) be the second derivative of u(a). Determine r so that c(r) = 0.
-1/2, 22
Suppose -70*y = 25*y + 10*y - 210. Let c(f) be the third derivative of 1/540*f**6 - 2/27*f**3 + 5/108*f**4 + 16*f**y + 0 - 2/135*f**5 + 0*f. Factor c(k).
2*(k - 2)*(k - 1)**2/9
Suppose 4*g = 4*o + o - 432, 5*g = 3*o - 267. Let k = o + -80. Factor -15*r**3 + 85*r**4 + 20*r**2 - 46*r**4 - 49*r**k + 5*r**5 + 20*r.
5*r*(r - 2)**2*(r + 1)**2
Let x(s) = 7*s**2 - 337*s + 324. Let b(j) = -8*j**2 + 338*j - 321. Let u be (3 + 85/(-25))/(3/15). Let c(i) = u*b(i) - 3*x(i). Factor c(m).
-5*(m - 66)*(m - 1)
Determine p, given that 1870*p - 34969/2*p**2 - 50 = 0.
10/187
Let h(b) be the third derivative of b**5/78 + 413*b**4/156 - 166*b**3/39 - b**2 - 584. Factor h(s).
2*(s + 83)*(5*s - 2)/13
Let d(i) be the second derivative of -i**7/3780 - 19*i**6/1080 - i**5/10 + 5*i**4 - 12*i - 1. Let k(n) be the third derivative of d(n). Let k(u) = 0. What is u?
-18, -1
Let h = 41371 + -41371. Let p(x) be the third derivative of 1/8*x**4 - 1/5*x**6 - 9/140*x**7 + h*x**3 + 0 - 1/8*x**5 + 0*x - 51*x**2. Solve p(q) = 0.
-1, 0, 2/9
Let y be (-35 - -54) + 942/(-50). Let p(x) be the first derivative of y*x**5 + 2/5*x**4 + 0*x**2 - 36 + 0*x + 0*x**3. Factor p(z).
4*z**3*(z + 2)/5
Factor -4805*m**2 - 1015*m**2 - 16 + 1082*m**2 + 993*m**2 - 2891*m**2 - 4448*m.
-4*(3*m + 2)*(553*m + 2)
Determine h, given that 45/8*h**4 - h + 25/8*h**5 - 9/2*h**2 - 13/4*h**3 + 0 = 0.
-2, -2/5, 0, 1
Suppose -27 = -3*n, -5*n + 41 = -146*s + 144*s. Factor -128/3 - 1/6*h**3 - 11/2*h**s - 48*h.
-(h + 1)*(h + 16)**2/6
Let m(z) = 9*z**2 + 18*z + 36. Let j(x) be the first derivative of x**3/3 - x**2/2 - 93. Let b(a) = 6*j(a) - m(a). Solve b(f) = 0.
-6, -2
Let p(h) be the second derivative of -h**6/30 - 77*h**5/100 + 9*h**4/4 - 19*h**3/30 - 17*h**2/5 - 815*h. Determine u so that p(u) = 0.
-17, -2/5, 1
Suppose 0 = -40*p - 21*p. Let t(x) be the first derivative of 0*x + 2/3*x**3 + x**4 + 2/5*x**5 - 14 + p*x**2. Suppose t(j) = 0. What is j?
-1, 0
Let g(z) = -8*z**5 - 384*z**4 - 376*z**3 + 12*z**2 - 12*z + 12. Let j(r) = -r**5 + r**3 + r**2 - r + 1. Let t(k) = g(k) - 12*j(k). Factor t(d).
4*d**3*(d - 97)*(d + 1)
Let w be (-714)/(-204)*-2*(-4)/14. Determine s so that 8843 + 18*s**w - 5*s**3 - 7505 + 637*s**2 - 21120*s - 23118 = 0.
-1, 66
Let l = 4119328/369677 + -10/52811. Factor 8/7 - l*y + 19/7*y**2.
(y - 4)*(19*y - 2)/7
Suppose -316*k + 2183 - 1551 = 0. Solve -13/4*a**k + 1/4*a**3 + 35/4*a + 49/4 = 0.
-1, 7
Let c(z) be the first derivative of z**6/72 + z**5/3 - 73*z**3 + 46. Let t(j) be the third derivative of c(j). What is r in t(r) = 0?
-8, 0
Factor 0*r**3 + 621*r - 23976 + 23031 - r**3 - 99*r**2.
-(r - 3)**2*(r + 105)
Suppose -31*w = -35*w - 2 + 1 + 1, -3*l = -3*w. Let g(a) = a + 8. Let q be g(-4). Factor 2/5*x**3 + l*x + 0*x**2 + 0 + 2/5*x**q.
2*x**3*(x + 1)/5
Let p(k) be the first derivative of -2*k**3/9 - 183*k**2 - 1181. Solve p(o) = 0 for o.
-549, 0
Let z(d) be the second derivative of -d**5/25 - 16*d**4/5 + 66*d**3/5 - 20*d**2 - 921*d. Suppose z(k) = 0. Calculate k.
-50, 1
Let c(x) be the second derivative of 0*x**3 + 10*x + 0*x**2 + 0*x**4 + 2/35*x**5 + 4/105*x**6 + 1/147*x**7 + 0. Factor c(t).
2*t**3*(t + 2)**2/7
Let f(t) be the third derivative of 1/2688*t**8 - 1/192*t**4 + 0*t**3 + 0 + 0*t**6 + 10*t**2 + 1/840*t**7 - 1/240*t**5 + 4*t. Factor f(h).
h*(h - 1)*(h + 1)**3/8
Let a(z) be the first derivative of -1/3*z**3 - 1/4*z**4 + z**2 + 0*z + 64. Factor a(c).
-c*(c - 1)*(c + 2)
Let h(z) be the first derivative of 88/3*z**3 + 46*z**2 + 24*z - 81 + 5*z**4. Factor h(q).
4*(q + 1)*(q + 3)*(5*q + 2)
Let o(b) be the third derivative of -b**8/112 + 17*b**7/35 - 5*b**6 + 151*b**5/10 - 135*b**4/8 + 781*b**2. Let o(k) = 0. Calculate k.
0, 1, 5, 27
Let q be 28/49 + (-1251)/(-1008). Let y = 49/16 - q. Factor -5/2 + y*s + 5/4*s**2.
5*(s - 1)*(s + 2)/4
Suppose 9 = -2*a - l, 4*l + 36 = -2*a - 0*l. Factor 22/5*k + a + 2/5*k**2.
2*k*(k + 11)/5
Let a(q) be the first derivative of 5*q**4/4 + 6*q**3 + 15*q**2 + 11*q + 73. Let v(m) = -4*m**3 - 18*m**2 - 30*m - 12. Let t(n) = -4*a(n) - 6*v(n). Factor t(x).
4*(x + 1)**2*(x + 7)
Let c be ((-6)/(-45))/(250/1075). Let u = c + -28/75. Find w, given that -8/5*w + 3/5*w**4 + u*w**5 + 0 - 2/5*w**3 - 12/5*w**2 = 0.
-2, -1, 0, 2
Let u be 1*3/1 + (-9)/45. Let a = 3/274 + 539/822. Factor u*x - 10/3*x**3 + 6/5 - a*x**2.
-2*(x - 1)*(5*x + 3)**2/15
Let d(a) be the second derivative of -a**7/252 - 7*a**6/30 - 191*a**5/120 - 109*a**4/36 + 13*a**3/3 + 74*a**2/3 + 2755*a - 1. Factor d(v).
-(v - 1)*(v + 2)**3*(v + 37)/6
Factor -2*f - 585/2*f**3 + 0 + 66*f**2 + 350*f**4.
f*(5*f - 2)**2*(28*f - 1)/2
Let d(o) be the second derivative of -o**4/30 - 37*o**3/15 - 14*o**2 + 564*o - 1. Factor d(k).
-2*(k + 2)*(k + 35)/5
Let i(n) = n**2 + 22*n + 66. Let f be i(-3). Let j be 7/3 - 15/f. What is c in 0*c + 0 - j*c**3 - 2/3*c**2 + 2/3*c**5 + 2/3*c**4 = 0?
-1, 0, 1
Let w(n) be the first derivative of -2*n**7/105 + n**6/30 + 2*n**5/15 - 111*n**2 - 192. Let l(p) be the second derivative of w(p). Find d such that l(d) = 0.
-1, 0, 2
Let o(i) be the first derivative of i**5 + 35*i**4 - 105*i**3 - 225*i**2 - 1529. Factor o(q).
5*q*(q - 3)*(q + 1)*(q + 30)
Let f = -436 + 439. Suppose j = -5, -4*m - 3 = 4*j + 5. Determine w, given that -6*w**3 - 21*w**2 - 36 + f*w**3 + 0*w**m - 48*w = 0.
-3, -2
Solve -109*l**2 - 75*l**2 + 356*l - 363 + 6*l**3 - 2*l**3 + 187 = 0 for l.
1, 44
Let z = 180 - 193. Let b be 63/(-13) + -6 + (-2 - z). Find t such that -4/13*t**3 + 0 - b*t**2 + 4/13*t + 2/13*t**4 = 0.
-1, 0, 1, 2
Let d(l) be the first derivative of 1/5*l**5 - 24*l - 5/3*l**4 + 2/15*l**6 + 28 + 0*l**2 + 2*l**3. Let m(r) be the first derivative of d(r). Factor m(a).
4*a*(a - 1)**2*(a + 3)
Solve 4/9*k**2 - 182/9 - 545/9*k + 1/3*k**3 = 0.
-14, -1/3, 13
Suppose -2521*c + 447*c - 3243*c = -21268. Let 3/7*t**c + 2523/7 - 180/7*t**3 - 5220/7*t + 2874/7*t**2 = 0. Calculate t.
1, 29
Let a(t) be the third derivative of -8/5*t**3 + 0*t - 209*t**2 - 7/9*t**4 + 0 - 41/225*t**5 - 13/900*t**6 + 1/1575*t**7. Let a(k) = 0. What is k?
-2, -1, 18
Find r such that -25/4*r**2 + 7 - 11*r**3 - 3/4*r**4 + 11*r = 0.
-14, -1, -2/3, 1
Let j(g) be the third derivative of 6859/72*g**3 + 19/240*g**5 + 0 - 100*g**2 + 0*g - 361/96*g**4 - 1/1440*g**6. Factor j(w).
-(w - 19)**3/12
Let i(f) be the first derivative of -4*f**5/5 + 39*f**4 + 164*f**3 + 250*f**2 + 168*f + 619. Let i(d) = 0. What is d?
-1, 42
Let a(d) be the third derivative of -d**6/30 + 142*d**5 - 252050*d**4 + 715822000*d**3/3 - 2*d**2 - 1389*d. Factor a(l).
-4*(l - 710)**3
Let v be 1*109 + (44/4 - 10). Let t be 4 + v/35 + -3 + -4. Find n, given that -t*n**2 - 3/7 + 4/