q**3 + t + 2/13*q**4 - 4/13*q - 2/13*q**2.
2*q*(q - 1)*(q + 1)*(q + 2)/13
Suppose 0 = 5*g - 3*y - 9, -4*g - 4869*y = -4870*y - 3. Factor -172/11*m**2 - 2/11*m**4 + g + 174/11*m**3 + 0*m.
-2*m**2*(m - 86)*(m - 1)/11
Let k(h) = 5*h**3 + 25*h**2 + 35*h + 9. Suppose -24 = -3*b - 21. Let g(j) = 5 + 9 - 22 + 9. Let z(q) = b*k(q) + 6*g(q). What is s in z(s) = 0?
-3, -1
Suppose 668*m = 1393*m - 656*m - 138. Factor 0 - i + 7/6*i**m - 1/6*i**3.
-i*(i - 6)*(i - 1)/6
Let h(z) be the first derivative of z**6/6 - 143*z**5/5 + 1330*z**4 - 14696*z**3/3 - 280*z**2 + 19600*z + 11015. Suppose h(c) = 0. What is c?
-1, 2, 70
Factor -92/7 - 4/7*q**2 + 96/7*q.
-4*(q - 23)*(q - 1)/7
Factor 2*d**5 - 125337 - 96*d**2 + 125337 + 194*d**3 - 100*d**4.
2*d**2*(d - 48)*(d - 1)**2
Let v(p) be the third derivative of -33*p**2 + 0 + 1/42*p**7 - 7/24*p**6 + 0*p**3 - 5*p - 5/2*p**4 + 4/3*p**5. Factor v(n).
5*n*(n - 3)*(n - 2)**2
Let a(t) be the third derivative of -t**6/320 + 1017*t**5/160 - 344763*t**4/64 + 38958219*t**3/16 - 611*t**2. Determine o, given that a(o) = 0.
339
Let h be (72/(-14))/(-21*6/(-588)). Let p be (-2)/1*63*2/h. Solve 0 + p*o**4 + 69/2*o**2 - 60*o**3 + 15*o = 0 for o.
-2/7, 0, 1, 5
Let v(u) be the second derivative of u**4/30 - 14*u**3/15 - 32*u**2/5 - 3157*u. Factor v(x).
2*(x - 16)*(x + 2)/5
Let z(h) be the third derivative of -h**5/300 - 49*h**4/60 + 20*h**3/3 + 864*h**2. Factor z(k).
-(k - 2)*(k + 100)/5
Let w be (((-4 - -2) + 0)*(-76)/(-152))/(-4). Let y(z) be the second derivative of -1/8*z**4 - w*z**2 + 0 + 32*z - 1/4*z**3 - 1/40*z**5. Factor y(h).
-(h + 1)**3/2
Suppose -329/10*o + 1/10*o**3 + 13/10*o**2 + 1323/10 = 0. What is o?
-27, 7
Let z = -47120/221 - -3690/17. Determine d, given that -z*d**3 - 8/13*d**5 + 16/13 - 20/13*d**2 + 40/13*d**4 + 40/13*d = 0.
-1/2, 2
Let -246/11*k**2 - 316/11*k + 2/11*k**4 - 128/11 - 56/11*k**3 = 0. What is k?
-2, -1, 32
Let c(p) be the second derivative of -p**6/90 - p**5/5 + 7*p**4/6 - 53*p**3/6 + p - 4. Let v(u) be the second derivative of c(u). Factor v(s).
-4*(s - 1)*(s + 7)
Let c(y) = 155*y**2 + 716*y + 26. Let m(r) = -52*r**2 + 1. Let n(g) = 3*c(g) + 6*m(g). Factor n(k).
3*(k + 14)*(51*k + 2)
Solve -676/5 - 1768/5*d - 1572/5*d**2 - 64/5*d**4 - 544/5*d**3 = 0 for d.
-13/4, -1
Solve 29*l**3 + 1869*l + 957 - 1149 + 122*l**2 + l**4 - 1829*l = 0 for l.
-24, -4, -2, 1
Let q be (-315)/(-2205) + (2 + 80/28 - 1). Factor -4/11*h**2 + 0*h + 2/11*h**q - 2/11*h**3 + 0.
2*h**2*(h - 2)*(h + 1)/11
Suppose 4*j = -4*u + 50 - 54, 0 = -5*j + 4*u + 67. Let m be (-23)/4*4/(-1). Suppose -m*w - 16*w**2 + 8 + 13*w - 7*w**2 + j*w**3 - 12*w = 0. What is w?
-1, 2/7, 4
Let b = 1173/56 + -10445/504. Factor 62/9 + 20/3*g - b*g**2.
-2*(g - 31)*(g + 1)/9
Factor -h**2 + 1004*h + 3*h**2 - 8 - 992 - 10*h**2 + 4*h**2.
-4*(h - 250)*(h - 1)
Find d, given that -614*d**2 - 1/3*d**4 + 2025 + 1440*d - 88/3*d**3 = 0.
-45, -1, 3
Factor 3772*u**2 - 98487 + 2280*u**2 + 670023 + 1146096*u + 8*u**3.
4*(u + 378)**2*(2*u + 1)
Let r(f) = -f**2 - 143*f + 10. Let v(g) = -g**2 + g + 5. Let h(k) = -r(k) + 2*v(k). Determine z, given that h(z) = 0.
0, 145
Let n(r) = 24*r**3 - 18*r**2 - 54*r - 7. Let v(g) = 12*g**3 - 9*g**2 - 27*g - 4. Let m be (-25)/175 + (-36)/(-7). Let b(j) = m*v(j) - 2*n(j). Factor b(s).
3*(s - 2)*(s + 1)*(4*s + 1)
Let p(n) be the first derivative of 1/3*n**4 - 4/3*n**3 + 15 + 8/3*n**2 - 8/3*n - 1/30*n**5. What is h in p(h) = 0?
2
Let s(p) be the second derivative of p**6/225 - 19*p**5/75 + 323*p**4/90 - 286*p**3/45 + 6210*p. Let s(b) = 0. Calculate b.
0, 1, 11, 26
Let b = 324 - 251. Factor -4*v**4 - 7*v**2 - b*v**2 - 36*v**3 - v - 47*v.
-4*v*(v + 1)*(v + 2)*(v + 6)
Let c = 460 + -455. Suppose 20361*s**2 + 19923*s**3 + 49 - c + 38 + 192*s**5 + 4185*s + 194 - 33 + 3696*s**4 = 0. Calculate s.
-9, -1, -1/8
Let y(u) be the second derivative of -u**4/12 + 7*u**3/2 + 81*u**2 + 81*u - 18. Factor y(l).
-(l - 27)*(l + 6)
Let m(c) = 64*c**2 - 127*c + 441. Let w(f) = -28*f**2 + 63*f - 221. Let s(r) = 3*m(r) + 7*w(r). Solve s(z) = 0 for z.
7, 8
Let s = -4641 + 4644. Let p(d) be the first derivative of 36/7*d - 8 - 66/7*d**2 + 121/21*d**s. Solve p(w) = 0.
6/11
Let j be 78/16*566/849*(-1 + 2). Factor 0 + 3/4*f + f**3 + j*f**2.
f*(f + 3)*(4*f + 1)/4
Let g(k) be the third derivative of k**5/30 - 14*k**4 + 3285*k**2. Factor g(c).
2*c*(c - 168)
Let t = -15456025/102 + 891371/6. Let a = 2969 + t. Suppose a*m**4 + 0 + 74/17*m**3 + 2/17*m**5 + 72/17*m + 120/17*m**2 = 0. Calculate m.
-3, -2, 0
Let l(d) be the second derivative of -d**5/100 + 7*d**4/20 - 11*d**3/3 + 84*d**2/5 - 3*d + 710. Suppose l(f) = 0. What is f?
3, 4, 14
Let w be -1*3 + (-46)/(-6). Let v = 151/439 + 2620/1317. Factor v*t**2 + w - 17*t.
(t - 7)*(7*t - 2)/3
Let q = 447 - 444. Find z, given that 13*z**q + 2*z - 9*z**3 + 8*z**2 - 2*z + 4*z = 0.
-1, 0
Determine q, given that 0 + 1/3*q**2 - 407/3*q = 0.
0, 407
Let p be (32/(-132) + 2/6)/((-376)/(-17296)). Let 0 - p*u - 4*u**2 + 2/11*u**3 = 0. What is u?
-1, 0, 23
Let w = 142898 + -142896. Determine d so that 3/2 - 1/6*d**3 + 7/6*d**w - 5/2*d = 0.
1, 3
Let n(v) be the first derivative of v**3 - 4*v**2 - 14*v + 38. Let f(k) = k**2 - 2*k - 1. Let y(j) = 6*f(j) - 3*n(j). Factor y(h).
-3*(h - 6)*(h + 2)
Let k = 151 - 148. Factor 6 - 8 - 18*t - k*t**2 - 22.
-3*(t + 2)*(t + 4)
Let y(r) be the third derivative of -r**5/48 - 475*r**4/48 + 1625*r**3/8 - 378*r**2 - 5*r. Factor y(g).
-5*(g - 5)*(g + 195)/4
Determine w so that 512*w - 29950*w**4 + 29951*w**4 - 41*w**2 - 768 - 55*w**2 = 0.
-12, 4
Let r(g) = -g**2 - 10*g - 212. Let q(z) = -3*z**2 - 39*z - 855. Let n(f) = -4*q(f) + 15*r(f). Determine l so that n(l) = 0.
-8, 10
Factor 52*i - 828 - 122*i - 2*i**2 + 2367 - 1227.
-2*(i - 4)*(i + 39)
Solve -108*d**2 - 102*d**2 + 308*d**2 - 102*d**2 - 2936*d - 538756 = 0.
-367
Suppose 6/11*u**3 + 788544/11 + 1179264/11*u - 484*u**2 = 0. Calculate u.
-2/3, 444
Let g = 74 - 1527. Let a = 1455 + g. Factor 10/11*q - 2/11*q**a + 12/11.
-2*(q - 6)*(q + 1)/11
Let b(k) be the third derivative of k**6/600 - 26*k**5/75 - 143*k**4/40 - 54*k**3/5 - 2438*k**2. Find u, given that b(u) = 0.
-3, -1, 108
Suppose -12 + 15 = 3*r + 2*u, 0 = 3*u + 9. Suppose -r*j**4 - 27*j + 24*j**2 - 6*j**3 + 97*j - 34*j + 3*j**3 = 0. Calculate j.
-2, 0, 3
Let c(l) be the third derivative of -l**5/48 + 5*l**4/32 + 1530*l**2. Factor c(q).
-5*q*(q - 3)/4
Let w(s) be the second derivative of 2*s**6/15 - 24*s**5/5 - 17*s**4 - 52*s**3/3 + 5940*s. Factor w(h).
4*h*(h - 26)*(h + 1)**2
Let u be ((-6)/(-8))/((-10)/(-8)). Let q(j) = -j**3 + 268*j**2 - 27*j + 7240. Let x be q(268). Find w such that -u*w**x - 21/5*w**3 - 27/5*w - 9*w**2 + 0 = 0.
-3, -1, 0
Let o(l) = l**3 - 269*l**2 - 5149*l - 4877. Let g be o(287). Factor -26*i + 1/2*i**g + 51/2.
(i - 51)*(i - 1)/2
Let r(b) be the second derivative of b**4/24 - 19*b**3/3 + 75*b**2/4 + 2*b - 514. Determine o, given that r(o) = 0.
1, 75
Let o = 107181 + -107179. Factor 1560/7*u + 2/7*u**4 + 1352/7 + 60/7*u**3 + 554/7*u**o.
2*(u + 2)**2*(u + 13)**2/7
Suppose 60*v = 64*v - 4620. Let z be v/285 - 1/19. Determine q, given that 2/9*q**2 + z*q + 18 = 0.
-9
Let i = 97706/10455 + -42/3485. Determine r so that -144 - 1/3*r**4 + i*r**3 + 216*r - 81*r**2 = 0.
1, 3, 12
Let k(b) be the first derivative of 11*b**5/600 - 5*b**4/16 - 7*b**3/30 - 75*b**2 + 124. Let o(h) be the second derivative of k(h). Let o(n) = 0. Calculate n.
-2/11, 7
Let n(g) be the third derivative of -g**7/1470 + 31*g**6/210 + 25*g**5/84 - 14*g**2 + 2. Determine d so that n(d) = 0.
-1, 0, 125
Let u(k) = -8*k**4 - 65*k**3 + 468*k**2 - 5. Let g(o) = -7*o**4 - 64*o**3 + 468*o**2 - 4. Let m(b) = -5*g(b) + 4*u(b). Suppose m(t) = 0. Calculate t.
-26, 0, 6
Suppose 204 = -8*f + 156. Let s be 5/f*24/(-120). Factor -s*m**2 - 8/3 - 4/3*m.
-(m + 4)**2/6
Let l = 272661/25982 - -75/12991. Solve l*c**3 + 0 + 23/2*c**4 + c - 15/2*c**5 - 15/2*c**2 = 0 for c.
-1, 0, 1/5, 1/3, 2
Suppose 218 + 557 = 5*k. Let n = -929/6 + k. Factor 4/3*o + n*o**2 + 8/3.
(o + 4)**2/6
Let w(p) = 2*p**4 - 6*p**3 + 84*p**2 - 48*p + 8. Let c(a) = -a**4 + 4*a**3 - 55*a**2 + 32*a - 5. Let x(f) = 8*c(f) + 5*w(f). Factor x(z).
2*z*(z - 2)*(z - 1)*(z + 4)
Suppose -770 = -383*j - 1078 + 1840. Let i = 23414/3513 - -2/1171. Suppose -i*w**4 + 20/3*w**2 + j*w**3 - 16/