 - 3/4*o**3 + 7/4*o.
-(o - 1)*(o + 2)*(3*o - 1)/4
Let c be 2028/364 - ((-10)/7 - -1). Factor 0*k**5 - 60*k**4 + 21*k - 3 - 3*k**5 - c*k**2 + 75*k**4 - 18*k**3 - 6.
-3*(k - 3)*(k - 1)**3*(k + 1)
Let k(s) be the second derivative of s**8/280 + s**7/35 + 7*s**6/100 + 3*s**5/50 - 43*s**2/2 - 113*s. Let z(a) be the first derivative of k(a). Factor z(j).
6*j**2*(j + 1)**2*(j + 3)/5
Let c = -4/1409 - -2846/9863. Let a(x) be the first derivative of 1/7*x**4 + 0*x + 8/21*x**3 + c*x**2 - 24. Factor a(t).
4*t*(t + 1)**2/7
Let w(n) = n**2 + 32*n - 45. Let v be w(-34). Find a, given that -v*a + 84*a - 49*a + 360*a - 19044 + 180*a - 4*a**2 = 0.
69
Let z(q) be the first derivative of -25*q**4/2 + 80*q**3/3 + 19*q**2 + 4*q - 217. Factor z(p).
-2*(p - 2)*(5*p + 1)**2
Suppose 6*q - 3*q + 6 = 0, 0 = -2*x + 5*q + 55789 + 131721. Factor -150*k**3 - x*k + 3/2*k**4 + 1171875/2 + 5625*k**2.
3*(k - 25)**4/2
Let o(d) be the first derivative of -d**6/180 - 13*d**5/60 - d**4 + 38*d**3/3 + 53. Let u(r) be the third derivative of o(r). What is n in u(n) = 0?
-12, -1
Suppose 77/5*p**4 + 1336/5*p**3 + 1/5*p**5 + 25600 - 1328*p**2 - 6400*p = 0. What is p?
-40, -5, 4
Let b(t) be the first derivative of -27*t**6/7 + 342*t**5/7 + 1249*t**4/7 + 280*t**3/3 + 104*t**2/7 + 459. Suppose b(o) = 0. Calculate o.
-2, -2/9, 0, 13
Let i(u) be the first derivative of u**3/12 + 163*u**2/4 - 327*u/4 + 15047. Factor i(s).
(s - 1)*(s + 327)/4
Factor 13/5*h**3 - 28/5*h + 11/5*h**2 + 4/5.
(h - 1)*(h + 2)*(13*h - 2)/5
Let x(w) be the second derivative of -2*w**7/189 + 22*w**6/135 - 8*w**5/15 - 3*w + 1014. Let x(p) = 0. What is p?
0, 3, 8
Let v(n) be the second derivative of 3*n**6/8 - 7*n**5/16 - 545*n**4/24 - 155*n**3/2 - 45*n**2 + 11117*n. What is q in v(q) = 0?
-3, -2, -2/9, 6
Let n be (71 - 65) + (-5 - -1). Let q(p) be the first derivative of 0*p**n + 0*p + 21 + 2/9*p**3. Factor q(d).
2*d**2/3
Let v(n) = -4627*n - 337769. Let c be v(-73). Determine u so that 0 + c*u + 11/6*u**2 - 5/6*u**3 = 0.
-4/5, 0, 3
Let s(a) be the first derivative of 4*a**5/15 + 5*a**4/3 + 4*a**3/3 - 6*a**2 - 1752. Factor s(u).
4*u*(u - 1)*(u + 3)**2/3
Let -8869743/7*m + 8741196/7*m**2 + 0 + 127926/7*m**3 + 620/7*m**4 + 1/7*m**5 = 0. Calculate m.
-207, 0, 1
Let u be (-1)/(-32)*4 + (-116638)/112. Let n = 1049 + u. What is a in -24/7*a**4 + 81/7*a - n*a**3 + 0*a**2 + 0 - 3/7*a**5 = 0?
-3, 0, 1
Let y = -7/4 + 2. Let n = 39535 + -39535. Factor f**2 + 0 + n*f - y*f**3.
-f**2*(f - 4)/4
Let g(z) be the third derivative of z**7/70 + 399*z**6/40 + 14*z**2 + 39*z. Factor g(u).
3*u**3*(u + 399)
Let u be (13 + 20976/(-1610) - (-2)/20)/(8/14). Factor u*s**2 + 0 + 39/4*s.
s*(s + 78)/8
Let g = 108722 - 1195936/11. Factor 10/11*m**2 + 0 - 2/11*m**4 - g*m - 2/11*m**3.
-2*m*(m - 1)**2*(m + 3)/11
Let o(i) be the second derivative of i**5/10 + 215*i**4/54 + 61*i**3/9 - 23*i**2/9 + 5*i - 1314. Determine r, given that o(r) = 0.
-23, -1, 1/9
Let d(j) be the second derivative of -3*j**6/2 - 35*j**5/4 - 40*j**4/3 + 10*j**3/3 + 120*j - 14. Determine z so that d(z) = 0.
-2, 0, 1/9
Let b be (-5916)/(-31059)*7/6. Find y, given that -8/9*y**2 + b*y**4 + 0 + 2/3*y**3 - 8/3*y = 0.
-3, -2, 0, 2
Let x = -697 + 704. Find w, given that x*w**4 + 675 - 4*w**4 - 78*w**2 - 180*w - 135*w**3 + 82*w**3 + 65*w**3 = 0.
-5, 3
Let d(h) = 2*h**3 - 23*h**2 + 59*h + 28. Let v be d(7). Solve -54*u**2 - 2*u**4 + 243/4*u + v + 33/2*u**3 + 1/12*u**5 = 0 for u.
0, 3, 9
Let w = 93 - 141. Let f = 52 + w. Suppose i**5 - 130*i + 24 - 9*i**4 - 3*i**5 + f*i**3 - 5*i**4 + 92*i**2 + 26 = 0. Calculate i.
-5, 1
Let d(h) = -16*h**2 + 52*h + 140. Let s be d(5). Let b(c) be the first derivative of -2/39*c**3 + 1/13*c**2 - 1/26*c**4 + s*c + 22 + 2/65*c**5. Factor b(r).
2*r*(r - 1)**2*(r + 1)/13
Let k = 340 - 174. Suppose -1600*s**3 - 264*s + 94*s**4 + 1605*s**2 + k*s**4 - 271*s + 50 = 0. Calculate s.
2/13, 1/2, 5
Let g(m) be the third derivative of m**7/105 - 2*m**6/15 + m**5/2 + m**4/3 - 20*m**3/3 + m**2 - 292. Factor g(v).
2*(v - 5)*(v - 2)**2*(v + 1)
Let g(y) be the second derivative of -y**4/4 + 767*y**3 - 1764867*y**2/2 - y - 260. Solve g(b) = 0.
767
Let c(k) be the first derivative of k**3/15 + 59*k**2/10 - 252*k/5 - 2339. Suppose c(y) = 0. Calculate y.
-63, 4
Let f = 47 + -43. Suppose -3*q = -2*m + 18, f*q = -5*m + 5*q + 71. What is w in 518*w**4 - 48*w**2 + 89*w**5 + 70*w**4 - m*w - 224*w**3 + 254*w**5 + 31*w = 0?
-2, -2/7, 0, 2/7
Let w(i) be the second derivative of i**4/4 - 94*i**3 + 1104*i**2 - 3*i + 94. Solve w(m) = 0 for m.
4, 184
Let w = -40 - -56. Suppose 25*l - 33*l = -w*l. Factor l + 1/4*g**2 + 1/4*g**3 - 1/4*g - 1/4*g**4.
-g*(g - 1)**2*(g + 1)/4
Let m(b) be the third derivative of -b**5/210 + 625*b**4/14 - 3749*b**3/21 - 10*b**2 - 86*b. Factor m(x).
-2*(x - 3749)*(x - 1)/7
Let j = -872969/11 - -79361. Solve 6/11 - 8/11*v + j*v**2 = 0.
1, 3
Let p(z) be the second derivative of -z**8/336 - 2*z**7/105 - z**6/30 - 75*z**2/2 + 2*z - 12. Let q(o) be the first derivative of p(o). Factor q(u).
-u**3*(u + 2)**2
Suppose 1/10*s**5 - 121/5*s**2 - 320 + 8*s**4 + 1597/10*s**3 - 496*s = 0. Calculate s.
-40, -1, 2
Let n(w) be the second derivative of -w**9/98280 + w**7/1820 - w**6/1170 - w**5/65 - 2*w**4 + 117*w. Let f(i) be the third derivative of n(i). Solve f(v) = 0.
-3, -1, 2
Let c(r) be the second derivative of -r**5/40 + 725*r**4/24 + 1453*r**3/12 + 727*r**2/4 - 29*r + 6. Factor c(g).
-(g - 727)*(g + 1)**2/2
Let n be 0 - (-16)/(6 + -4). Suppose 4 - n = -2*f. Find a such that -17 - 8*a + 0*a**5 + a**f - 5*a**4 + 7*a**3 + 21 + a**5 = 0.
-1, 1, 2
Let y(k) = -3*k**2 - 219*k - 2076. Let o(r) = 3*r - 1. Let q(i) = -15*o(i) - y(i). What is l in q(l) = 0?
-41, -17
Let d(q) be the third derivative of 0 + 1/15*q**6 - 136*q**2 - 7/15*q**5 - 10/3*q**3 + 0*q - 7/3*q**4. Factor d(z).
4*(z - 5)*(z + 1)*(2*z + 1)
Let z = 239 + -237. What is s in -94 - 2*s**z - 66*s + 25 + 137 = 0?
-34, 1
Let p = -9093/65 + 701/5. Let r(z) be the second derivative of -p*z**2 + 0 - 1/39*z**4 + 17*z + 3/13*z**3. Find y such that r(y) = 0.
1/2, 4
Let w be 13/3 - 6/18. Let q(y) = y**4 + 9*y**2 - 9*y. Let x(t) = -t**2 + t. Let c(r) = w*q(r) + 36*x(r). Factor c(b).
4*b**4
Suppose -31*l = -29*l. Suppose -2*m + 2*d = -2320, -5*d = -l*m + m - 1172. Factor 5*x**2 + 1162 - m.
5*x**2
Let m(z) be the third derivative of -z**6/960 - 3*z**5/160 + 35*z**2 + 2*z. Let m(r) = 0. What is r?
-9, 0
Suppose 0 = -4*m - 2*q, 12 = 3*m - 5*q - 14. Factor -t**3 + 74*t**4 + 2*t**5 - 76*t**4 - t**5 + m*t**2 + 0*t**2.
t**2*(t - 2)*(t - 1)*(t + 1)
Let i = 1057 - 745. Factor -i*q - 324*q**2 - 296 - 397 - 54*q**3 + q**4 - 4*q**4 + 252 - 402*q.
-3*(q + 1)*(q + 3)*(q + 7)**2
Factor 2680/3*w - 897800/3 - 2/3*w**2.
-2*(w - 670)**2/3
Let c(h) = -12*h**4 - 100*h**3 + 427*h**2 - 10*h + 5. Let k(v) = -2*v**4 - v**2 - 2*v + 1. Let u(s) = -c(s) + 5*k(s). Factor u(x).
2*x**2*(x - 4)*(x + 54)
Let b(k) = 95*k - 87. Let w be b(9). Factor -w + 102*d + 4*d**4 + 647*d + 116*d**2 - 45*d - 56*d**3.
4*(d - 8)**2*(d - 1)*(d + 3)
Let g = -505 + 510. Let t be ((-10)/75*g)/((-1)/3). Factor 8/19 - 14/19*o**t - 6/19*o.
-2*(o + 1)*(7*o - 4)/19
Factor 241/2*v - 16 - 239/4*v**2 + 7/4*v**3.
(v - 32)*(v - 2)*(7*v - 1)/4
Let k = 2/8853 - -106226/44265. Factor 0 + 2/5*s**3 - k*s + 2/5*s**2.
2*s*(s - 2)*(s + 3)/5
Let q(r) = -9*r**3 - 3*r**2 + 208*r - 2. Let p(z) = 11*z**3 + 7*z**2 - 207*z + 3. Let n(l) = -2*p(l) - 3*q(l). Let n(y) = 0. Calculate y.
-6, 0, 7
Let u be (-176)/(-308) - (-416)/(-1120). Factor 2*o**3 + 23/5*o**2 + 0 + 14/5*o + u*o**4.
o*(o + 1)*(o + 2)*(o + 7)/5
Let p = 6413 + -6411. Let q(c) be the first derivative of 4/9*c**p + 21 + 2/27*c**3 - 10/9*c. Let q(f) = 0. What is f?
-5, 1
Let h be (-85)/34*(-5 - (-2 - 2)). Let j(f) = -41*f + 169. Let x be j(4). Factor 5/2*l**3 + h*l**4 - x*l**2 + 0*l + 0.
5*l**2*(l - 1)*(l + 2)/2
Let t be 12 + (-56)/21*3. Find r, given that -20*r + 28*r**t - 16*r**4 - 2*r**2 + 21*r**3 - 10*r**4 - r**3 = 0.
-10, -1, 0, 1
Let i(q) be the first derivative of -q**5/15 + 20*q**4/3 - 800*q**3/3 - 23*q**2 + 65. Let r(c) be the second derivative of i(c). Factor r(n).
-4*(n - 20)**2
Let u = 14141 + -12967299/917. Let m = 911/2751 - u. Determine h, given that 2/3*h**2 + 0*h**3 - 1/3*h**5 + m*h + 0 - 2/3*h**4 = 0.
-1, 0, 1
Let p = -2/79415 - -238