q) = 0. What is q?
-33, -1, 1
Factor -144 - 880/9*a**2 + 212*a + 121/9*a**3.
(a - 4)*(11*a - 18)**2/9
Let k(u) be the first derivative of -26656*u**3/3 + 56*u**2 - 2*u/17 + 712. Determine o, given that k(o) = 0.
1/476
Let k = 62187/3742 - 222/1871. Determine w, given that k*w**2 + 57/2*w + 3/2*w**3 + 27/2 = 0.
-9, -1
Let w(v) be the third derivative of v**6/540 + 44*v**5/135 - 179*v**4/108 + 10*v**3/3 + 3*v**2 - 33*v. Factor w(m).
2*(m - 1)**2*(m + 90)/9
Find i such that -1/8*i**2 + 1/8*i**4 + 0 - 67/4*i + 67/4*i**3 = 0.
-134, -1, 0, 1
Let b(x) be the first derivative of 4/21*x + 62 - 5/21*x**2 + 8/63*x**3 - 1/42*x**4. Factor b(i).
-2*(i - 2)*(i - 1)**2/21
Let o = 5/9984 - -19943/49920. Factor -o*b**2 + 2*b - 8/5.
-2*(b - 4)*(b - 1)/5
Find u, given that -976*u**3 + 191296/5*u + 5*u**4 + 38416/5 + 236184/5*u**2 = 0.
-2/5, 98
Let y(r) be the third derivative of r**8/504 + 8*r**7/105 + 53*r**6/45 + 413*r**5/45 + 147*r**4/4 + 686*r**3/9 + 2400*r**2. Factor y(t).
2*(t + 1)*(t + 2)*(t + 7)**3/3
Let d(s) be the first derivative of s**6/2 + 3*s**5/5 - 15*s**4 - 20*s**3 + 96*s**2 + 192*s + 512. Determine l, given that d(l) = 0.
-4, -2, -1, 2, 4
Let h be (-4 - -2)/(13/(-26)). Factor 20*a**3 - 13*a**4 + 15*a**5 + 51*a**4 - 3*a**h.
5*a**3*(a + 1)*(3*a + 4)
Let l = 1665 + -11625/7. Suppose -6*m + 45 = 3*j, -128*j = -126*j + 2*m - 18. Factor -2/7 - 250/7*o**j - l*o - 150/7*o**2.
-2*(5*o + 1)**3/7
Let w(v) be the third derivative of -v**5/3 - 23*v**4/6 + 408*v**3 - 227*v**2 - 4. Find o such that w(o) = 0.
-68/5, 9
Let f(p) = -70*p - 65. Let k be f(-5). Factor 15*r**3 - 1 - 278*r**2 + 4*r**5 + r + 1 + 13*r**4 + k*r**2.
r*(r + 1)**3*(4*r + 1)
Suppose 3*g + 583 = 2212. Let m = 545 - g. Factor 0 + 2/7*o**5 + 44/7*o**3 + 18/7*o + 48/7*o**m + 16/7*o**4.
2*o*(o + 1)**2*(o + 3)**2/7
Let u(z) be the first derivative of -3*z**4/32 - 3*z**3/8 + 21*z**2/4 + 45*z/2 - 1003. What is d in u(d) = 0?
-6, -2, 5
Suppose 0 = 2058*o - 2215*o + 314. Factor -9/7*g**o - 74/7*g - 16/7.
-(g + 8)*(9*g + 2)/7
Let n be 642/160 - (-197 - -201). Let s(p) be the second derivative of -5/24*p**4 - p**2 + 0 + 17/24*p**3 - 36*p + n*p**5. Let s(w) = 0. Calculate w.
1, 8
Solve -59/8*i**4 + 0 - 589/8*i**2 - 329/8*i**3 - 1/8*i**5 - 159/4*i = 0.
-53, -3, -2, -1, 0
Let p(m) be the first derivative of -m**4/6 - 40*m**3/9 - 67*m**2/3 - 32*m + 2284. Factor p(i).
-2*(i + 1)*(i + 3)*(i + 16)/3
Suppose -3187*x = -2166*x - 32672. Factor 76/3*s + 8/3*s**2 + x.
4*(s + 8)*(2*s + 3)/3
Factor -10*i**2 - 346*i + 0*i**3 - 2*i**3 - 62*i**2 + 434 - 14.
-2*(i - 1)*(i + 7)*(i + 30)
Let x(c) be the third derivative of 2/3*c**4 + 0*c + 1/60*c**5 + 14/3*c**3 - 18 - c**2. Solve x(l) = 0.
-14, -2
Find w such that -36921*w**3 - 688*w**3 + 54372*w**2 + 45179*w**3 + 1133 + 64894*w**3 + 13595*w - 64*w**4 = 0.
-1/4, 1133
Let a = -410/13 - -8714/273. Let z(d) be the first derivative of -16/7*d - a*d**3 + 15 + 18/7*d**2. Determine t so that z(t) = 0.
1/2, 4
Let b be (2 - 1 - 1)/(-2). Suppose -32 = -4*d - b. Solve 3*v**3 - 8*v - 3*v + 6*v**2 - 6 + d*v = 0 for v.
-2, -1, 1
Let k(z) be the third derivative of z**8/1848 - z**7/385 - 31*z**6/66 - 295*z**5/33 - 3625*z**4/44 - 14375*z**3/33 + 7*z**2 - 18*z + 1. What is t in k(t) = 0?
-5, 23
Factor -9426*b + 3213*b + 3162*b + 3206*b - 5*b**2 - 650.
-5*(b - 26)*(b - 5)
Let q = 6803/8585 + 13/1717. Factor 36/5*n**2 - 8*n + q*n**3 + 0.
4*n*(n - 1)*(n + 10)/5
Let w(a) be the first derivative of -1/24*a**4 - 1/4*a**3 - 16 + 0*a**2 - 4*a. Let i(g) be the first derivative of w(g). Determine l, given that i(l) = 0.
-3, 0
Let d be (264/462)/(15/(-4)*((-644)/294)/23). Factor 2/5*a**2 - d*a + 8/5.
2*(a - 2)**2/5
Suppose 2*i + 6 = p + i, p + 5*i + 6 = 0. Let q be 6/(-8) - (6/(-24) - 1). Solve 0 + 1/2*y**2 + 1/4*y**5 - q*y**p + 0*y - 1/4*y**3 = 0 for y.
-1, 0, 1, 2
Let c(d) be the third derivative of -d**5/15 - 113*d**4/3 - 25538*d**3/3 + 174*d**2 + 2. Find h, given that c(h) = 0.
-113
Let g(b) be the first derivative of -3 - 2*b**2 - 5/6*b**3 - 14*b - 1/12*b**4. Let q(k) be the first derivative of g(k). Factor q(z).
-(z + 1)*(z + 4)
Let w(m) be the third derivative of -7/36*m**4 - 15*m**2 + 1/36*m**5 + 0 + 1/630*m**7 + 0*m**3 + 1/45*m**6 + m. Factor w(f).
f*(f - 1)*(f + 2)*(f + 7)/3
Let m(j) = j**3 + 43*j**2 - 46*j - 83. Let a be m(-44). Factor -80*g**4 - 39*g**5 + 44*g**a + 64*g**3 + 256*g**3.
5*g**3*(g - 8)**2
Let 0 + 512/17*b**2 - 1032/17*b**4 + 134/17*b**3 - 24/17*b = 0. Calculate b.
-2/3, 0, 2/43, 3/4
Let x = 299753 - 1498759/5. Suppose -3/5*u**5 + 0 + 16/5*u**4 - 23/5*u**3 + x*u**2 + 0*u = 0. What is u?
0, 1/3, 2, 3
Suppose 1072 = 28*i - 104. Let r be ((-741)/(-91))/19 - (-38)/i. Factor -4*v**2 + 4 - 4/3*v**3 + r*v.
-4*(v - 1)*(v + 1)*(v + 3)/3
Let r be (-4 - (9 + -14))*1. Let j(b) be the first derivative of 9/2*b**2 - 27/5*b + 3/20*b**4 - 7/5*b**3 + r. Solve j(i) = 0.
1, 3
Factor -9/5*f + 18/5*f**2 - 3/5*f**3 - 6.
-3*(f - 5)*(f - 2)*(f + 1)/5
Let b(q) be the third derivative of -163/160*q**6 + 0*q + 361/80*q**5 - 34*q**2 - 10*q**4 + 25/2*q**3 - 1/448*q**8 + 23/280*q**7 + 0. What is c in b(c) = 0?
1, 10
Let 5290 + 225*j**3 - 612*j - 2405*j**2 - 1085*j - 490*j - 5*j**4 - 918*j = 0. Calculate j.
-2, 1, 23
Suppose 12*i = 19*i - 203. Let q be 18/4*i/174. Factor q*n + 0 + 3/4*n**2.
3*n*(n + 1)/4
Let t(a) be the first derivative of 1/3*a**3 + 8*a + 9/2*a**2 - 153. Suppose t(i) = 0. What is i?
-8, -1
Let 49/4*v**5 - 2105/2*v**2 - 70 + 613/4*v**3 + 434*v**4 + 523*v = 0. What is v?
-35, -2, 2/7, 1
Suppose 3114*c - 5030 = -4677 + 24559. Factor 0 + c*p**2 + 0*p - 4/3*p**4 - 4/3*p**3.
-4*p**2*(p - 2)*(p + 3)/3
Find z, given that 1418*z**4 - 23*z**2 - 62*z**2 - 80*z + 5*z**5 - 1333*z**4 + 75*z**3 = 0.
-16, -1, 0, 1
Let s(k) = 116*k**3 - 328*k**2 - 68*k + 1348. Let n(c) = 48*c**3 - 131*c**2 - 27*c + 539. Let q(w) = -12*n(w) + 5*s(w). Factor q(x).
4*(x - 17)*(x - 2)*(x + 2)
Find x such that 45/4*x**3 - 75/4*x**4 - 54 - 9*x + 141/2*x**2 = 0.
-6/5, 1, 2
Let f be (-1)/((-44)/1764) + (-21 - (-290)/29). Find u such that -4*u**3 - 92/11*u - 238/11*u**2 + f*u**4 - 10/11 + 64/11*u**5 = 0.
-5, -1/2, -1/4, 1
Let c = -2306 + 2366. Let t(z) be the first derivative of c*z + 2 + 275/3*z**3 + 125/4*z**4 - 140*z**2. Factor t(g).
5*(g + 3)*(5*g - 2)**2
Let q(c) = 2*c**2 + 3*c - 2. Let w be q(1). Suppose 0 = -13*i + 4*i + 36. Factor -23*p + 5*p**5 - 10*p**2 + 20*p**i - 2*p - 10 + 0*p**5 - 18*p**w + 38*p**3.
5*(p - 1)*(p + 1)**3*(p + 2)
Let g(y) be the first derivative of 0*y + 0*y**5 + 0*y**2 + 0*y**3 - 1/10*y**4 + 1/15*y**6 + 127. Factor g(d).
2*d**3*(d - 1)*(d + 1)/5
Determine v so that -193/2*v**3 - 1/2*v**5 + 0 + 117/2*v**2 + 27/2*v**4 + 169*v = 0.
-1, 0, 2, 13
Suppose -c - 5*j - 28 = -21, -2*j - 1 = c. Suppose c*p + 7 - 17 = -5*o, -3*o - 3*p = -6. Factor -3/7*r**o + 0 - 6/7*r.
-3*r*(r + 2)/7
Let h(u) be the first derivative of -2*u**3/27 + 650*u**2/9 - 211250*u/9 + 961. Factor h(a).
-2*(a - 325)**2/9
Let y(m) = 5*m - 8. Let b be y(2). Let v = -12764 - -12767. What is d in -300/7*d + 500/7 - 4/7*d**v + 60/7*d**b = 0?
5
Factor 2/13*a**2 + 11036/13*a + 15224162/13.
2*(a + 2759)**2/13
Let i(h) = -21*h**2 + 442*h - 10141. Let x(w) = 23*w**2 - 441*w + 10143. Let q(s) = -9*i(s) - 8*x(s). Solve q(v) = 0.
45
Let j = 28938 + -28922. Let o(u) be the second derivative of -1/90*u**6 + 0*u**5 + 0 + 11/36*u**4 + j*u + 4/3*u**2 - u**3. Let o(b) = 0. What is b?
-4, 1, 2
Determine b so that -2052/5*b**2 + 528384/5*b + 2/5*b**3 - 1048576/5 = 0.
2, 512
Let k(q) be the third derivative of -q**6/210 + 17*q**5/35 + 66*q**4/7 + 1160*q**3/21 - 30*q**2 - 175*q. Suppose k(l) = 0. Calculate l.
-5, -2, 58
Suppose -85 = -92*x + 7*x. Let l(y) = y**2 + y. Let z = -1 - 0. Let o(h) = 122*h**2 + 23*h + 1. Let a(i) = x*l(i) + z*o(i). Suppose a(b) = 0. What is b?
-1/11
Suppose 72*p - 23*p + 60*p = 6*p. Let -4*d - 3*d**2 + p - 1/2*d**3 = 0. Calculate d.
-4, -2, 0
Solve 373*v + 3848 - 1542*v - 501*v - 2174*v - 4*v**2 = 0.
-962, 1
Let z(j) = j**3 + 2*j**2 - 2*j - 2. Let y be z(-2). Factor -3*x**3 + 9*x - 19*x**2 + 33*x**y - 8*x**2.
-3*x*(x - 3)*(x + 1)
Let p = 38 - 73/2. Suppose 7*l + 5*a = -11, 0*a = -a - 5. Factor 3/4*h**l + p - 9/4*h.
3*(h - 2)*(h - 1)/4
Suppose 1020 = 93*b - 63*b. Suppose -5*l = -0*y + 3*y - b, 25 = 5*l. Factor 3/8*q**4 + 0*q + 0*q**2