cond derivative of -f**6/150 + 7*f**5/100 - f**4/12 - 7*f**3/30 + 3*f**2/5 + 1583*f. Factor p(r).
-(r - 6)*(r - 1)**2*(r + 1)/5
Let i = 14524 + -14524. Let j(v) be the second derivative of 0 + 0*v**4 + i*v**3 + 0*v**5 - 1/42*v**7 + 0*v**2 + 1/30*v**6 + 5*v. Factor j(d).
-d**4*(d - 1)
Let p be (-2*11 - (411 - 1363))/(9/2). Let -20/3 - 4805/3*o**2 - p*o = 0. Calculate o.
-2/31
Let f(o) be the second derivative of o**4/3 - 24*o**3 + 70*o**2 - 517*o. Solve f(y) = 0 for y.
1, 35
Suppose 3*c = 15*h - 13*h + 29, -4*c - 4*h + 32 = 0. Find a, given that c*a**2 - 25*a**2 - 20*a**3 - 18*a - 15*a**2 - 6*a**2 - a**4 = 0.
-18, -1, 0
Let j(i) be the third derivative of -4/3*i**3 + 130*i**2 + 5/36*i**4 + 0*i + 1/180*i**5 + 0. Solve j(d) = 0 for d.
-12, 2
Let p = 15 + -11. Let a be (-569)/56 + 10 + 14/49. Factor -1/8*m**p - 1/2*m - a - 1/2*m**3 - 3/4*m**2.
-(m + 1)**4/8
Determine b, given that 3*b**4 + 19/2*b + 12 - 15*b**2 - 10*b**3 + 1/2*b**5 = 0.
-8, -1, 1, 3
Let o(a) be the second derivative of a**6/90 - 9*a**5/8 + 199*a**4/72 - 11*a**3/6 - 2071*a. Factor o(k).
k*(k - 66)*(k - 1)*(2*k - 1)/6
Let w(h) be the first derivative of 192*h**5/5 + 76*h**4 + 25*h**3 - 69*h**2/4 + 5*h/2 + 1012. Find u such that w(u) = 0.
-1, -5/6, 1/8
Let g = 2392723/13159916 - 1/1196356. Factor g*k**3 + 0 + 18/11*k**2 + 0*k.
2*k**2*(k + 9)/11
Let c be (1 - (-33)/(-36)) + 6160/44352. Factor c*y**3 - 20/9*y**2 + 22/3*y - 8.
2*(y - 4)*(y - 3)**2/9
Let g be 1 - ((-980)/(-392)*54*(-4)/(-70) + -7). Let -12/7*b**2 + 0 - g*b**3 - 2/7*b**5 + 0*b + 8/7*b**4 = 0. What is b?
-1, 0, 2, 3
Let b(x) be the third derivative of -3/4*x**5 - 1/24*x**6 + 5/24*x**4 + x**2 - 2 + 15/2*x**3 + 0*x. Factor b(k).
-5*(k - 1)*(k + 1)*(k + 9)
Suppose 98*n + 70 = 264 + 198. Suppose 32/21*v**2 + 8/21*v + 10/21*v**n + 0 + 34/21*v**3 = 0. Calculate v.
-2, -1, -2/5, 0
Let k(n) be the first derivative of 12*n**5/5 - 111*n**4/4 + 69*n**3 - 129*n**2/2 + 21*n - 435. Factor k(y).
3*(y - 7)*(y - 1)**2*(4*y - 1)
Let x(d) = -23562*d - 212056. Let o be x(-9). Find n such that -3/2*n**o - 21/2*n - 18 = 0.
-4, -3
Let a(y) be the second derivative of -y**7/189 - 7*y**6/135 - y**5/5 - 11*y**4/27 - 13*y**3/27 - y**2/3 - 7*y + 83. Factor a(o).
-2*(o + 1)**4*(o + 3)/9
Suppose 7*v + 2 = o + 4*v, -5*o + 22 = -3*v. Suppose l - q = -l + 6, -l + 3 = o*q. Factor 5*c**4 + 5*c**2 + 13*c**3 - 14*c + 14*c - l*c**3.
5*c**2*(c + 1)**2
Let z = -384018 - -5007804/13. Let x = 1198 - z. Factor x*m**5 + 0*m - 6/13*m**4 + 0*m**2 + 0 - 4/13*m**3.
2*m**3*(m - 2)*(2*m + 1)/13
Let o(n) be the third derivative of 0*n + 118*n**2 + 5*n**3 + 0 - 1/6*n**5 + 25/24*n**4 - 1/24*n**6. Factor o(s).
-5*(s - 2)*(s + 1)*(s + 3)
Let a be 96/(-10)*42/(-56). Let b = 409/85 - -10/17. Factor -a*s**3 + 0 + b*s**4 - 6/5*s**5 + 12/5*s**2 + 0*s.
-3*s**2*(s - 2)**2*(2*s - 1)/5
Suppose -33*d - 260 = -2174. Suppose -178*t**2 + 22*t**4 + 168*t**3 - 2*t**5 + 144*t - 212*t**3 + d*t**2 = 0. What is t?
-2, 0, 1, 6
Let j(h) = -7*h**5 + 23*h**3 - 13*h + 3. Let a = -13 - -8. Let l(i) = -13*i**5 + 45*i**3 - 27*i + 5. Let n(f) = a*j(f) + 3*l(f). Find d, given that n(d) = 0.
-2, -1, 0, 1, 2
Let r(n) be the third derivative of -n**5/480 - 107*n**4/96 + 9*n**3 - 447*n**2 + 1. Factor r(j).
-(j - 2)*(j + 216)/8
Let d(l) be the third derivative of -l**8/84 + 4*l**7/7 + 68*l**6/15 + 16*l**5/15 - 88*l**4 - 1088*l**3/3 - 7*l**2. Determine z, given that d(z) = 0.
-2, 2, 34
Let y be (770/150 - 7)*660/(-231). Let y - 7/3*s**3 + 70/3*s + 47/3*s**2 = 0. What is s?
-1, -2/7, 8
Let o = 1296 + -1292. Let s(n) be the third derivative of 1/24*n**6 - 12*n**2 - 5/24*n**o + 0*n**5 + 0 + 0*n + 0*n**3. Factor s(t).
5*t*(t - 1)*(t + 1)
Suppose 2*o - 5*p + 91 = 124, -4*p - 12 = 2*o. Let w(m) be the first derivative of 1/24*m**o + 14 - 1/3*m**2 - 4/3*m + 1/9*m**3. Factor w(q).
(q - 2)*(q + 2)**2/6
Let s = -110 - -580. Let y be s/282*(-6)/(-7). Factor 2/7*c**3 - y*c**2 - 8/7 + 16/7*c.
2*(c - 2)**2*(c - 1)/7
Let g(i) be the first derivative of 2*i**5/45 + i**4/6 - 116*i**3/27 - 4*i**2/3 + 48*i - 42. Solve g(o) = 0 for o.
-9, -2, 2, 6
Let t(j) be the second derivative of -j**7/4620 + j**6/990 - j**5/660 + 13*j**3/2 + 18*j. Let f(d) be the second derivative of t(d). Solve f(l) = 0 for l.
0, 1
Let j(h) be the third derivative of -10 - 1/1512*h**8 + 4*h**2 + 0*h**5 - 1/270*h**6 - 1/315*h**7 + 0*h + 0*h**4 + 0*h**3. Factor j(s).
-2*s**3*(s + 1)*(s + 2)/9
Let t(u) be the first derivative of -u**3/9 - 107*u**2/6 - 106*u/3 + 2326. Factor t(m).
-(m + 1)*(m + 106)/3
Let d(j) be the second derivative of -j**5/4 - 183*j**4/2 - 655*j**3/6 + 219*j**2 + 1309*j. Solve d(k) = 0.
-219, -1, 2/5
Let u(q) = -8*q**2 + 17240*q - 3715316. Let x(a) = -5*a**2 + 10344*a - 2229188. Let c(z) = 7*u(z) - 12*x(z). Factor c(w).
4*(w - 431)**2
Let c(j) = -78*j + 472. Let q be c(6). Let n be (-240)/250*(-10)/q. Determine i, given that 0*i + 0 + n*i**2 + 4/5*i**3 = 0.
-3, 0
Let d(b) = 13*b**2 - 341*b + 3528. Let q(u) = -84*u**2 + 2216*u - 22932. Suppose -19*n = -20*n + 5. Let r(p) = n*q(p) + 32*d(p). Find i, given that r(i) = 0.
21
Factor 12*o**5 - 177*o**4 - 545*o**2 + o**2 + 88*o + 855*o**3 - 731*o**2 + 35*o - 498*o.
3*o*(o - 5)**3*(4*o + 1)
Factor -11/2 + 1/2*r**2 - 5*r.
(r - 11)*(r + 1)/2
Suppose -30469*q**2 + 64090*q**2 + 1942*q + 60*q**3 - 23815*q + 3366 = 0. What is q?
-561, 1/4, 2/5
Let f(q) = -19*q. Let t(y) = 5*y**2 - 19*y + 240. Let j(w) = -4*f(w) - t(w). Factor j(g).
-5*(g - 16)*(g - 3)
Suppose 47*v + 15 = 46*v - 5*h, v = -2*h - 6. Let j(r) be the second derivative of v + 5/48*r**4 + 0*r**2 + 0*r**3 - 2*r + 1/80*r**5. Let j(n) = 0. What is n?
-5, 0
Find w such that -w**2 - 18 + 15*w + 1/3*w**4 - 5/3*w**3 = 0.
-3, 2, 3
Let k(t) be the first derivative of t**3/7 - 1857*t**2/7 + 3711*t/7 - 751. Factor k(r).
3*(r - 1237)*(r - 1)/7
Let z(y) = -3*y**2 - 5*y. Let n be z(-5). Let o = n - -52. Factor g**3 + 0*g**3 + 7 - g - 3*g**o - 4.
(g - 3)*(g - 1)*(g + 1)
Factor -10797*s**3 - 1/8*s**5 - 29163818*s - 239/4*s**4 - 884174*s**2 - 145408332.
-(s + 6)*(s + 118)**4/8
Let k(r) be the second derivative of -5*r**4/18 - 19*r**3/9 + 22*r**2 + 1673*r. Let k(x) = 0. Calculate x.
-6, 11/5
Factor 0*p + 363609/2*p**2 + 1207/2*p**4 - 364815/2*p**3 - 1/2*p**5 + 0.
-p**2*(p - 603)**2*(p - 1)/2
Suppose -8*n + 255 = 9*n. Let u be (-288)/(-108) + 32/n. Find j such that -78/5*j**3 + u*j + 0 + 36/5*j**2 - 9*j**4 = 0.
-2, -2/5, 0, 2/3
Let p(s) be the second derivative of -s**5/5 + 12*s**4 - 160*s**3 + 896*s**2 - 597*s. Factor p(q).
-4*(q - 28)*(q - 4)**2
Let c be ((-31155)/469 - -66)/(2/(-14) - 0). Let l(m) be the second derivative of -1/60*m**4 + 1/15*m**c + 0 - 1/10*m**2 - 38*m. Factor l(h).
-(h - 1)**2/5
Let m(a) be the second derivative of a**6/240 + a**5/80 - 29*a - 11. Factor m(i).
i**3*(i + 2)/8
Factor -773*b - b**2 - 881511 - 1129590 - 1736995 - 399*b - 2700*b.
-(b + 1936)**2
Let k(y) be the third derivative of y**5/180 - 5*y**4/2 + 178*y**3/9 - 652*y**2. Factor k(q).
(q - 178)*(q - 2)/3
Let c = -118656 - -118658. Find m such that 1/5*m**4 + 0 + 0*m - 12/5*m**c + 8/5*m**3 - 1/5*m**5 = 0.
-3, 0, 2
Let q(w) be the second derivative of w**7/2100 - w**6/450 + w**5/300 + w**3/3 + w**2 + 27*w + 3. Let k(m) be the second derivative of q(m). Factor k(l).
2*l*(l - 1)**2/5
Factor 11040/19*u + 2/19*u**2 + 15235200/19.
2*(u + 2760)**2/19
Let p = -510647/6 - -85108. Solve -5/3 + 7/6*m - p*m**2 = 0 for m.
2, 5
Suppose 0 = -3*z - 14*c + 15*c + 9, -c + 7 = 5*z. Suppose 258*x**4 + 9*x**2 - 8 + 4*x**2 + 543*x**z - 56 - 722*x**3 - 28*x**5 = 0. What is x?
-2/7, 1/2, 1, 4
Let g be (-5 - -7)/(-1 + (-22)/(-23)). Let h = g + 49. Determine m, given that h + 72*m**2 - 189*m**4 - 39*m + 3 - 51*m**3 + 201*m**4 = 0.
1/4, 1, 2
Suppose -17*b + 542 + 478 = 0. Suppose b = 565*x - 535*x. Factor -3/2 + 2*k - 1/2*k**x.
-(k - 3)*(k - 1)/2
Let z(w) be the third derivative of 0*w + 2*w**2 + 0*w**3 + 12 - 29/90*w**5 + 14/45*w**6 + 1/9*w**4 - 7/180*w**7. Factor z(g).
-g*(g - 4)*(7*g - 2)**2/6
Let x(s) = s**2 - 28*s + 19. Let j be x(27). Let v(n) = -58*n - 28. Let h be v(j). Factor p**4 + 9*p**2 - 7*p + h*p**3 + 2 + 0*p**4 - 441*p**3.
(p - 2)*(p - 1)**3
Let x(j) be the third derivative of j**7/180 + 19*j**6/720 - 13*j**5/360 - 19*j**4/144 + j**3/6 - 4*j**2 + 556. What is q in x(q) = 0?
-3, -1, 2/7, 