+ 1/9*v**3. Factor u(b).
(b - 8)*(b - 2)/3
Suppose 16 + 7 = -345*o - 402*o + 23. Factor -21/2*x**3 - 3/8*x + o + 87/8*x**2.
-3*x*(x - 1)*(28*x - 1)/8
Let a(w) = w**3 - w**2 + 5. Let i be a(0). Factor -5*h**2 + i*h + 3*h**2 + h.
-2*h*(h - 3)
Suppose 31*c - 80 = 5*c - 2. Let r(z) be the first derivative of 2*z**2 + 4 - 8/3*z - 4/9*z**c. Determine m, given that r(m) = 0.
1, 2
Let c be 2/(-8) - ((-425)/20 + 7). Suppose -c + 4 = -5*q. Factor -28*h + 112 - 2 + 6*h**q - 12 - 4*h**2.
2*(h - 7)**2
Find w, given that -4/7*w**2 + 932/7*w + 936/7 = 0.
-1, 234
Let v(y) be the first derivative of -35 + 54/7*y + 9/14*y**2 - 3/28*y**4 - 4/7*y**3. Factor v(r).
-3*(r - 2)*(r + 3)**2/7
Let b = -2/238181 - -714559/1905448. Factor 9/2*o**3 - b + 69/8*o**2 + 15/4*o.
3*(o + 1)**2*(12*o - 1)/8
Factor -131/3*l**2 + 0*l - 1/3*l**3 + 0.
-l**2*(l + 131)/3
Let w(k) be the third derivative of -k**6/180 - k**5/20 + 11*k**4/24 - 7*k**3/9 - 377*k**2. Factor w(o).
-(o - 2)*(o + 7)*(2*o - 1)/3
Let l = 214 + -214. Let z be (-1 - l) + (-52 - -58). Determine s so that -6/7*s**3 + 2/7*s**4 + 0 - 2/7*s**2 + 4/7*s + 2/7*s**z = 0.
-2, -1, 0, 1
Let b be 4*((-1)/4 + 24/32). Solve -27*z**b - 24 + 12 + 2*z**4 + z**4 + 6*z**4 + 6*z**3 - 36*z = 0.
-1, -2/3, 2
Let i = 53219 + -319313/6. Factor -1/2 - 1/3*w + i*w**2.
(w - 3)*(w + 1)/6
Let v(m) be the second derivative of 1/2*m**3 - 3/20*m**5 + 27*m + 0 + 1/4*m**4 - 3/2*m**2. Solve v(q) = 0 for q.
-1, 1
Let v = 137 - 133. Suppose 21*d = v + 38. Factor 0*q**d + 2/3*q**4 + 4/3*q**3 + 0 + 0*q.
2*q**3*(q + 2)/3
Let k(c) be the second derivative of -c**7/2520 + 7*c**6/90 - 98*c**5/15 + 137*c**4/12 - 60*c. Let w(z) be the third derivative of k(z). Factor w(o).
-(o - 28)**2
Let x(q) be the second derivative of 0*q**3 - 9*q - 2 + 0*q**5 - 1/120*q**6 - 1/8*q**2 + 1/24*q**4. Factor x(c).
-(c - 1)**2*(c + 1)**2/4
Suppose f + 8 = -2*w + 24, -4*f - 2*w + 40 = 0. Suppose f*j = 2*j + 72. Suppose 3*o**2 + j*o**5 - 12*o**3 + 2*o**2 - 8*o**2 + 3*o**4 = 0. Calculate o.
-1, -1/4, 0, 1
What is d in -65*d**3 + 50*d**4 + 184*d - 94*d**2 - 49*d**4 - 26*d**3 = 0?
-2, 0, 1, 92
Factor 7939*f + 2143292 + 4631188 + 3701*f + 5*f**2.
5*(f + 1164)**2
Let i(f) be the third derivative of -f**6/5 + 179*f**5/30 - 195*f**4/4 - 50*f**3/3 + 6065*f**2. Factor i(b).
-2*(b - 10)*(b - 5)*(12*b + 1)
Let j(m) be the third derivative of -5*m**8/192 - 447*m**7/280 - 89*m**6/15 + 203*m**5/20 - 9*m**4/2 + 1087*m**2. Let j(a) = 0. What is a?
-36, -3, 0, 2/7, 2/5
Let c(d) be the first derivative of -23/2*d**2 - 5/12*d**4 + 5/2*d**3 + 0*d - 1/12*d**5 - 36. Let u(s) be the second derivative of c(s). Solve u(l) = 0 for l.
-3, 1
Let h(x) = 2*x**3 - 14*x**2 + 12*x + 2. Let i be h(6). Suppose -2*j = 4*n + i, -3 = j + 2. Factor 56*d - 12 - 25*d**3 - 2*d**3 + 11*d**3 - 28*d**n.
-4*(d - 1)*(d + 3)*(4*d - 1)
Let t be 752/(-32)*12/(-94). Determine d so that 27/2*d**t + 1/4*d**5 - 3*d**4 - 27*d**2 + 0 + 81/4*d = 0.
0, 3
Let y(l) be the first derivative of 4*l**3/3 + 3944*l**2 + 3888784*l - 7204. Suppose y(f) = 0. Calculate f.
-986
Let f(w) be the second derivative of w**7/105 + 12*w**6/25 + 39*w**5/25 - 2438*w**4/15 + 1587*w**3/5 - 7*w + 2. Determine l, given that f(l) = 0.
-23, 0, 1, 9
Let t(n) be the third derivative of -n**6/660 + 7*n**5/30 + 107*n**4/44 + 81*n**3/11 + 493*n**2. Factor t(o).
-2*(o - 81)*(o + 1)*(o + 3)/11
Suppose -32*u + 27*u = -300. Let -180*a + 55*a**3 - 51*a**3 - u*a**2 - 9*a**3 = 0. Calculate a.
-6, 0
Let f(l) = -l**2 - 4*l + 2. Let n(t) = -28*t**2 - 4724*t - 5326810. Let r(g) = -108*f(g) + 4*n(g). Find m such that r(m) = 0.
-2308
Let b(a) be the second derivative of 5*a**4 + 45*a**2 - 15*a + 145/6*a**3 + 0 + 1/4*a**5. Factor b(s).
5*(s + 1)*(s + 2)*(s + 9)
Let d(r) be the third derivative of r**7/1890 - r**6/1080 - 7*r**5/540 + 13*r**4/216 - r**3/9 + 96*r**2 - 10*r. Factor d(s).
(s - 2)*(s - 1)**2*(s + 3)/9
Let g(y) be the first derivative of -9*y**5/5 - 141*y**4/4 - 171*y**3 - 579*y**2/2 - 198*y - 166. Solve g(a) = 0 for a.
-11, -3, -1, -2/3
Let c(b) be the first derivative of 3*b**4/28 - 8*b**3/7 - 45*b**2/14 + 162*b/7 - 789. Suppose c(m) = 0. Calculate m.
-3, 2, 9
Let z(f) be the second derivative of f**4/24 + 5*f**3/6 + 9*f**2/4 + 929*f. Factor z(n).
(n + 1)*(n + 9)/2
Let g(y) be the third derivative of -121*y**6/900 - 737*y**5/225 - 232*y**4/15 - 32*y**3 - 227*y**2 - 3*y. Factor g(c).
-2*(c + 10)*(11*c + 12)**2/15
Factor 77/8*d**3 - 1/8*d**4 - 1277/8*d**2 - 5043/4 - 7913/8*d.
-(d - 41)**2*(d + 2)*(d + 3)/8
Let q(r) be the first derivative of 10*r**3/9 - 19*r**2 - 24*r + 1503. Factor q(j).
2*(j - 12)*(5*j + 3)/3
Solve -6069*g + 364*g + 2064*g**2 + 790*g**2 + 2852 - 14453*g**3 + 7230*g**3 + 7222*g**3 = 0 for g.
1, 2852
Let x = -49433/3 + 16479. Let d(b) be the first derivative of 4 + 0*b + x*b**3 + 1/6*b**6 + 3/2*b**4 - 4*b**2 - b**5. Let d(g) = 0. What is g?
-1, 0, 2
Let g be 2 + (-78)/(-21) - (-2)/7. Suppose 3*y = -5*w + 220, -2*y - 5*w = -g*y + 235. Suppose -15*t**3 - 6 + 13*t**2 - 27*t - y*t**2 + 16*t**2 = 0. Calculate t.
-1, -2/5
Let c(j) = 2*j**2 + 2*j + 2. Let b be c(7). Let n be b/72 + (-4 - 90/(-24)). Let 5/3*g**2 - 4*g + n = 0. Calculate g.
2/5, 2
Let c(q) be the first derivative of -q**6/12 + 4*q**5/5 + 3*q**4/2 - 24*q**3 - 576. Factor c(p).
-p**2*(p - 6)**2*(p + 4)/2
Let k be (2 + 0)/(114/285). Let d be (k + (-75)/20)/5. Determine f so that -f**4 - 5/4*f**3 - 1/2*f**2 + 0 - d*f**5 + 0*f = 0.
-2, -1, 0
Factor -1200 + 12903*j**2 - 17*j + 148*j - 12906*j**2 - 11*j.
-3*(j - 20)**2
Suppose -2*g + 7*m = 11*m - 56, -16 = 4*m. Let b be (-81)/g*(10/(-45) + 0). Factor 1/4*y**3 - 1/4*y - b + 1/2*y**2.
(y - 1)*(y + 1)*(y + 2)/4
Let p(o) = 8*o**3 - 2*o**3 - 6*o**2 + 1 + 246*o - 262*o. Let j(s) = -5*s**3 + 4*s**2 + 15*s - 2. Let t(r) = -5*j(r) - 4*p(r). What is v in t(v) = 0?
-6, 1
Factor 2/7*m**2 - 360/7 - 6/7*m.
2*(m - 15)*(m + 12)/7
Let p(u) be the second derivative of u**5/20 + 5*u**4/6 - 9*u**3/2 - 18*u**2 + 688*u. Suppose p(m) = 0. What is m?
-12, -1, 3
Suppose -5*l + 13*j - 55 = -11*j + 29*j, 0 = 2*j + 26. Factor 7/3*u - 4 - 1/3*u**l.
-(u - 4)*(u - 3)/3
Let u(y) be the third derivative of y**6/210 - 29*y**5/105 + 53*y**4/14 + 18*y**3 + 2*y**2 + 132*y. Suppose u(l) = 0. What is l?
-1, 9, 21
Let f = 3/18631 + 148997/316727. Suppose -10/17 + f*l + 2/17*l**2 = 0. What is l?
-5, 1
Let d(q) = -36*q**4 - 111*q**3 - 378*q**2 - 232*q. Let z(v) = 33*v**4 + 111*v**3 + 378*v**2 + 231*v. Let x(y) = -15*d(y) - 16*z(y). Suppose x(c) = 0. What is c?
-2, -3/4, 0, 12
Suppose v = -5*r + 55, -5*v - 22 = -2*r - 8*v. Suppose r*x - 3*x - 16 = 0. Factor -2/11*y**x - 6/11*y - 4/11.
-2*(y + 1)*(y + 2)/11
Let a(m) = 24*m - 38. Let v be a(3). Let o be 15/(-45) - v/(-30). Factor -12/5*c + 0 - 4*c**3 - 28/5*c**2 - o*c**4.
-4*c*(c + 1)**2*(c + 3)/5
Let o(m) = -2*m**3 - m**2 + 3*m - 1. Let t be o(0). Let d be 2 + (8/32*0)/t. Find x such that 19/7*x**d + x**3 - 4/7 + 8/7*x = 0.
-2, -1, 2/7
Let v(i) be the second derivative of -i**4/132 - 28*i**3/33 - 54*i**2/11 - i + 657. Factor v(q).
-(q + 2)*(q + 54)/11
Let d(j) = 2*j**3 - 1. Let y(n) = -3*n - 72. Let t be y(-20). Let i(a) = -22*a**3 + 38*a**2 - 40*a + 12. Let s(g) = t*d(g) - i(g). Determine k so that s(k) = 0.
-20, 0, 1
Let b(g) = -6*g + 2. Let q(d) = -d**2 + 84*d - 339. Let c(o) = -2*b(o) - q(o). Factor c(k).
(k - 67)*(k - 5)
Let p = 1120 + -553. Determine z so that -5*z**3 - 252*z - 290*z - 10*z**2 + p*z + 30 = 0.
-3, -1, 2
Factor 10*z**4 - 4258*z**2 - 804*z**3 - 19084*z - 5930*z**2 - 7561*z + 64208*z**2 - 661*z**3.
5*z*(z - 73)**2*(2*z - 1)
Let h(j) be the first derivative of -j**3 + 52*j**2 - 2805*j - 72. Let x(t) = 7*t**2 - 207*t + 5608. Let p(o) = -5*h(o) - 2*x(o). Solve p(g) = 0.
53
Let j be (-4)/10 + (-8575)/1375 + 5 + 8 + -6. Factor 0 + j*v + 30/11*v**3 + 6/11*v**5 + 2*v**4 + 18/11*v**2.
2*v*(v + 1)**3*(3*v + 2)/11
Let j(o) be the third derivative of -o**6/60 - 646*o**5/45 - 139535*o**4/36 - 92450*o**3/9 - 407*o**2 - 3*o. Factor j(r).
-2*(r + 215)**2*(3*r + 2)/3
Factor 1/8*w**4 + 279/2*w**3 + 6059221281/8 + 21717639/2*w + 233523/4*w**2.
(w + 279)**4/8
Let a(n) = -95*n**3 + 210*n**2 + 755*n + 925. Let p(h) = -8*h**3 + 18*h**2 + 63*h + 77. Let w(c) = 3*a(c) - 35*p(c). Factor w(k).
-5*(k - 4)*(k + 2)**2
Let q(j) be the third derivative of 5*