9 - 34*v - 16*v = 0.
-13, 1
Let b(r) be the third derivative of r**6/180 + 63*r**5/2 + 670241*r**4/12 + 2007889*r**3/9 + 3004*r**2. Factor b(o).
2*(o + 1)*(o + 1417)**2/3
Let s = -65743 - -65746. Solve 0 - 1/5*x - 2/5*x**2 - 1/5*x**s = 0.
-1, 0
Suppose 4*j**2 - 3584/3 - 5368/3*j = 0. Calculate j.
-2/3, 448
Suppose 2*j - 4*k = 0, -4*j + 3*k = 5*k - 20. Factor 4 + 6*z**3 - 4 + 4*z - 295*z**2 + 304*z**2 + z**j.
z*(z + 1)**2*(z + 4)
Suppose 17*f - 16*f - 9 = 0, 4*f = 2*v - f + 39. Determine w, given that 18/11*w**v - 202/11*w - 34/11 - 294/11*w**2 = 0.
-1/3, 17
Let t(m) be the third derivative of 4*m**2 + 1/360*m**6 + 1/24*m**4 + 0*m**3 + 1/45*m**5 - 3 + 0*m. Determine j so that t(j) = 0.
-3, -1, 0
Let u(s) = -2*s**3 - 5*s**2 - 5. Let h = 6 + -12. Let p(x) = -x**3 - 37 - 3*x**2 + 120 - 45 - 41. Let v(l) = h*u(l) + 10*p(l). Suppose v(q) = 0. Calculate q.
0
Let s(h) be the first derivative of h**5/20 - 1819. Factor s(g).
g**4/4
Let u(g) be the first derivative of -5*g**3/3 + 635*g**2/2 + 640*g + 3888. What is p in u(p) = 0?
-1, 128
Let d(b) be the third derivative of b**8/48 - 3*b**7/70 - b**6/24 + 3*b**5/20 - b**4/12 + 8*b**2 - 164. Factor d(j).
j*(j - 1)**2*(j + 1)*(7*j - 2)
Let h = 856 + -1752. Let j be h/(-192) + (-4)/6. Suppose -2/3*y**j - 4/3*y**3 - 2 + 4/3*y + 8/3*y**2 = 0. Calculate y.
-3, -1, 1
Let p(n) be the second derivative of -n**4/3 + 2*n**3/3 + 4*n**2 - 158*n. Factor p(d).
-4*(d - 2)*(d + 1)
Let x(o) be the first derivative of 1/4*o**5 + 5*o**3 + 0*o - 63 - 5*o**2 - 15/8*o**4. Find q, given that x(q) = 0.
0, 2
Let m be (14/55)/(1883/37660). Find p, given that 10*p**3 + 8/11*p + 0 + 42/11*p**4 + m*p**2 = 0.
-2, -1/3, -2/7, 0
Let d(m) be the third derivative of m**6/200 - 11*m**5/75 + 7*m**4/30 + 31*m**2 + 5*m + 9. Determine r so that d(r) = 0.
0, 2/3, 14
Let k(d) be the second derivative of -d**4/27 - 40*d**3/9 + 122*d**2/9 - 92*d + 7. Determine y so that k(y) = 0.
-61, 1
Factor 1/8*s**2 + 117/2 - 11/2*s.
(s - 26)*(s - 18)/8
Let h(k) be the second derivative of k**6/180 + k**5/15 - k**4/9 - 8*k**3/3 + 26*k**2 + 19*k. Let m(s) be the first derivative of h(s). Solve m(d) = 0 for d.
-6, -2, 2
Let 527/5*s + 66/5 + 161/5*s**2 = 0. Calculate s.
-22/7, -3/23
Let s(k) = -7*k**3 + 9*k**2 - 16. Let g(o) = 15*o**3 - 18*o**2 + 33. Let q = 5 + -9. Let d(y) = q*g(y) - 9*s(y). Find l such that d(l) = 0.
-1, 2
Let f(o) be the second derivative of -3*o**5/20 + 51*o**4/4 + 108*o**3 + 330*o**2 + 1848*o. Find b such that f(b) = 0.
-2, 55
Let i(s) be the first derivative of -8/7*s**3 + 24/35*s**5 + 5 + 0*s + 3/2*s**2 - 9/14*s**4 - 1/14*s**6. What is g in i(g) = 0?
-1, 0, 1, 7
Let v be (19/(-1463))/(34/(-1309)). Find b such that -v*b**4 - 13/2*b**3 + 0 - 24*b**2 - 18*b = 0.
-6, -1, 0
Let t(f) = 2*f + 32. Let x be t(-15). Solve 18*a**x - a + 16*a**2 - 3*a**4 - 5*a - 25*a**2 = 0.
-2, 0, 1
Let s = 918 + -910. Let o be s/6*((-595)/40 + 16). Factor 75/2*d**2 + 0 + 0*d + o*d**4 + 15*d**3.
3*d**2*(d + 5)**2/2
Let x = -27 + 34. Let a(k) = 29*k**2 - 238*k + 223. Let g(r) = -13*r**2 + 118*r - 111. Let m(c) = x*g(c) + 3*a(c). Factor m(b).
-4*(b - 27)*(b - 1)
Let z(j) be the third derivative of 0 - 1/24*j**3 + 1/480*j**6 + 1/32*j**4 + 0*j + 60*j**2 - 1/80*j**5. Factor z(v).
(v - 1)**3/4
Let m(s) be the second derivative of -s**5/200 - s**4/10 + 9*s**3/5 + 689*s. Factor m(n).
-n*(n - 6)*(n + 18)/10
Let g be (2/6)/((-124)/(-24) - 5). Factor 4 + 22*i - 49*i**g + 18*i**4 + 27*i**2 - 14*i**3 - 8*i.
2*(i - 1)**2*(i + 1)*(9*i + 2)
Let g be 2/28 - ((-817)/2107)/(36/14). Factor g*j**2 + 4/3 - 14/9*j.
2*(j - 6)*(j - 1)/9
Let o = -158/799 + 7498/5593. Solve 0 + 36/7*t**4 - 36/7*t**2 + 20/7*t**3 + o*t - 4*t**5 = 0 for t.
-1, 0, 2/7, 1
Let c(t) be the second derivative of -2*t**6/75 + 2*t**5/25 + 13*t**4/15 - 76*t**3/15 + 48*t**2/5 - 764*t - 2. Solve c(y) = 0.
-4, 1, 2, 3
Factor -21/2*v**2 - 3/4*v**3 - 63/2 - 165/4*v.
-3*(v + 1)*(v + 6)*(v + 7)/4
Let i(z) = -z**3 + 6*z**2 - 5*z. Let g be i(5). Suppose g = -5*d + 30 - 20. Factor 2/5*y**5 + 0 - 4/5*y**2 - 8/5*y**4 + d*y**3 + 0*y.
2*y**2*(y - 2)*(y - 1)**2/5
Let k(s) be the second derivative of -189*s - 4/15*s**6 + 0*s**2 + 2/7*s**7 - 27/5*s**5 + 0 + 6*s**4 + 0*s**3. Let k(i) = 0. What is i?
-3, 0, 2/3, 3
Suppose 81*v - 64 - 60 = 19*v. Factor 242/9 + 44/9*o + 2/9*o**v.
2*(o + 11)**2/9
Determine q so that 480/7 - 172/7*q + 4/7*q**2 = 0.
3, 40
Factor 54*v + 39*v - 58*v + 46*v - 3*v**2 + 87*v.
-3*v*(v - 56)
Let a be 65/2*320/100. What is m in -19*m + 16*m - a + m**2 + 106 = 0?
1, 2
Determine k, given that -191544252*k - 21*k**4 - 4122*k**3 - 4749605*k - 1887876*k**2 - 91921879*k + 43*k**4 - 25*k**4 = 0.
-458, 0
Let b(r) be the second derivative of 0 + 5/2*r**4 - 48*r + 49*r**2 + 1/10*r**5 + 21*r**3. Determine m, given that b(m) = 0.
-7, -1
Let p(r) be the first derivative of -r**6/14 + 27*r**5/35 + 3*r**4/28 - 137*r**3/7 + 360*r**2/7 - 48*r - 4185. Determine k, given that p(k) = 0.
-4, 1, 4, 7
Let m(d) be the first derivative of 246 + 0*d - 3/7*d**2 - 1/7*d**3. Solve m(z) = 0.
-2, 0
Let y be (44/(-12375))/(-4)*(-5)/(-2). Let q(z) be the third derivative of 0 + 0*z**4 + 0*z + y*z**5 + 0*z**3 - 39*z**2. Let q(a) = 0. Calculate a.
0
Let d(g) be the third derivative of -43/120*g**4 + 0 - 27*g + 1/300*g**5 - 22/15*g**3 + 3*g**2. Factor d(o).
(o - 44)*(o + 1)/5
Let m(f) be the first derivative of -18634*f**6/3 + 4356*f**5 + 1947*f**4 + 764*f**3/3 + 12*f**2 - 977. Suppose m(n) = 0. What is n?
-1/11, 0, 6/7
Let r be (2 - 2)/(305 + -287). What is b in 3/2*b - 3*b**5 + 3/2*b**2 + r - 15/2*b**4 - 9/2*b**3 = 0?
-1, 0, 1/2
Let u(p) be the second derivative of -40/3*p**3 - 5/42*p**7 + 0*p**2 - 188*p + 2*p**5 + 0*p**4 + 0 + 0*p**6. Factor u(v).
-5*v*(v - 2)**2*(v + 2)**2
Factor 76/5 - 16/3*z**2 + 146/15*z + 2/15*z**3.
2*(z - 38)*(z - 3)*(z + 1)/15
Suppose -r - 7 = -3*f - 4, f + 3*r = 11. Let k = -10965/64 + 77907/448. Determine u so that -3/7*u**f - k + 3*u = 0.
1, 6
Let k(f) be the second derivative of 0 + 1/165*f**6 - 48/11*f**2 + 29/66*f**4 + 56*f + 8/33*f**3 + 1/11*f**5. Solve k(n) = 0 for n.
-4, -3, 1
Suppose 0 = 29*t - 31*t - 3*k - 28, -2*k - 16 = 2*t. Let 0 + 1/6*c**5 + 0*c - 1/6*c**3 + 1/3*c**t - 1/3*c**2 = 0. What is c?
-2, -1, 0, 1
Suppose -2/3*x**2 - 88/3*x - 86/3 = 0. Calculate x.
-43, -1
Let v(r) be the second derivative of 1/36*r**3 - 1/24*r**4 + 1/4*r**2 + 26 - 1/120*r**5 - 2*r. Find x, given that v(x) = 0.
-3, -1, 1
Let h(w) = -3*w**4 + 1028*w**3 - 264197*w**2 - 1032*w + 264200. Let u(k) = -k**4 - k**2 - 2*k + 2. Let c(x) = h(x) - 2*u(x). Factor c(b).
-(b - 514)**2*(b - 1)*(b + 1)
Let i(p) be the second derivative of p**8/140 + 11*p**7/210 - p**6/15 - 4*p**5/15 + 67*p**3/6 + 60*p. Let v(r) be the second derivative of i(r). Factor v(q).
4*q*(q - 1)*(q + 4)*(3*q + 2)
Let q(l) be the second derivative of -l**5/50 + 7*l**4/30 - 14*l**3/15 + 8*l**2/5 - 3179*l. Factor q(t).
-2*(t - 4)*(t - 2)*(t - 1)/5
Suppose 6*q - 14 = 46. Suppose 6*i + q - 46 = 0. Factor 3*d**2 - 30*d + d**2 + i*d**2 - 5*d**2.
5*d*(d - 6)
Let u = 181671/3670 - 3/1835. Let d(i) be the first derivative of -1215/8*i**4 + 4 - u*i**3 + 6*i + 12*i**2. Find y such that d(y) = 0.
-2/9, 1/5
Find y, given that -1/2*y**2 - 151321/2 - 389*y = 0.
-389
Let l(a) be the second derivative of 0 - 3/8*a**2 - 5/48*a**4 - 17*a + 1/80*a**5 + 7/24*a**3. Determine k so that l(k) = 0.
1, 3
Let s = 469 + -470. Let o(a) = -2*a**3 + a**2 + 2*a. Let x(v) = 13*v**3 + 86*v**2 + 472*v + 640. Let n(y) = s*x(y) - 4*o(y). Determine k, given that n(k) = 0.
-8, -2
Let y(j) be the second derivative of -j**4/66 - 21*j**3/11 - 180*j**2/11 - 2*j + 101. Factor y(h).
-2*(h + 3)*(h + 60)/11
Let s = -11465/7 - -1638. Let n(w) be the first derivative of -s*w**2 + 0*w - 1/21*w**3 - 2. Solve n(m) = 0 for m.
-2, 0
Let h be -5 + (187/27 - ((-1512)/(-18954) + (-12)/78)). Determine p, given that 7 + 8*p**h + 1/2*p**3 + 29/2*p = 0.
-14, -1
Let k = -39596 - -39599. Factor -9/2*f + 3/2*f**3 + 0*f**2 + k.
3*(f - 1)**2*(f + 2)/2
Let m = 56103 - 56100. Factor -65/4*z + 10*z**2 + 15/2 - 5/4*z**m.
-5*(z - 6)*(z - 1)**2/4
Let n = 201 + -199. Factor -8*a**2 - 78*a**5 - 35*a**4 + 93*a**5 + 25*a**3 + 3*a**n.
5*a**2*(a - 1)**2*(3*a - 1)
Suppose i = -5*u + 306, 0 = 2*i + 3*u - 387 - 246. Let -i*r**3 + 4*r**2 + 317*r**3 + 5*r + 20*r