- 85*z**3 - 1085*z**2/2 - 825*z + 1314. Let j(u) = 0. What is u?
-3, -1, 55
Let b(h) be the second derivative of -1/20*h**5 + 5/12*h**4 + 2 - 16*h - 24*h**2 + 4/3*h**3. Let b(m) = 0. What is m?
-3, 4
Factor 34/11 + 32/11*p - 2/11*p**2.
-2*(p - 17)*(p + 1)/11
Find t, given that t - 1/4*t**4 - 3/4*t**3 + 0 + 0*t**2 = 0.
-2, 0, 1
Let j(x) be the second derivative of -22*x**6/15 - 222*x**5/5 - 623*x**4/3 - 320*x**3 - 136*x**2 + 461*x - 2. Let j(w) = 0. What is w?
-17, -2, -1, -2/11
Let o(h) be the second derivative of -h**8/15960 + h**7/1995 - h**6/855 + h**3/6 - 9*h**2 + 2*h - 4. Let b(t) be the second derivative of o(t). Factor b(r).
-2*r**2*(r - 2)**2/19
Suppose 107 = 537*a - 967. Find n, given that 0*n**a + 0 - 1/4*n**3 + 1/8*n**4 + 0*n = 0.
0, 2
Suppose 0 = -324*p + 323*p - 660. Let j be (p/(-77) - 9)*(-8)/3. Factor 0*b**2 + 4/7*b**3 - 12/7*b + j.
4*(b - 1)**2*(b + 2)/7
Factor -111*u + 0*u**2 + 4*u**2 + 34 - 130 - 114 - 7*u**2.
-3*(u + 2)*(u + 35)
Let j = 65424 - 65419. Solve -5/2*o**3 - 1/6*o**4 - 5/3*o - 23/6*o**2 + 1/6*o**j + 0 = 0.
-2, -1, 0, 5
Let u(y) be the second derivative of 2*y**7/315 - 151*y**6/225 + 2641*y**5/150 + 8467*y**4/90 - 5681*y**3/15 + 2028*y**2/5 - 9984*y. Find v such that u(v) = 0.
-4, 1/2, 1, 39
Let g = 1184/103 + -305957/927. Let m = g - -319. Find q, given that m*q + 28/9*q**3 - 2*q**4 + 4/9*q**5 + 0 - 2*q**2 = 0.
0, 1/2, 1, 2
Let z(v) be the first derivative of 4/7*v**2 + 10/21*v**3 - 22 + 14*v + 2/21*v**4. Let i(c) be the first derivative of z(c). Factor i(y).
4*(y + 2)*(2*y + 1)/7
Let m be (4/6)/(7/((-1365)/(-10))). Suppose -2*a - 2*y + 16 = 0, -5*y + 41 = 3*a + m. Determine v, given that 21 - v**2 + 29 + 3*v**2 - 14*v - a*v = 0.
5
Factor 571*l + 310*l - 152*l**2 + 12*l**3 - 160 - 545*l.
4*(l - 10)*(l - 2)*(3*l - 2)
Factor -7781768 + 9299*w + 1624*w - 91*w - 6884760 - 2*w**2.
-2*(w - 2708)**2
Let j be ((22/(-26))/(1/1))/((-72)/(-39) - 2). Determine n, given that n + j*n**2 + 8*n**3 + 7/2*n**4 + 0 = 0.
-1, -2/7, 0
Let d(j) be the second derivative of j**4/42 + 72*j**3/7 + 11664*j**2/7 + 93*j + 6. Factor d(s).
2*(s + 108)**2/7
Let d(o) = -o**2 + 3. Let k be d(1). Suppose -20*l**5 - 8*l**4 + 7*l**k + 45*l**3 + 23*l**4 + 3*l**2 = 0. Calculate l.
-1, -1/4, 0, 2
Let r(u) be the first derivative of 4*u**3/3 - 42*u**2 + 360*u + 317. Let r(t) = 0. What is t?
6, 15
Let w be (-28)/12 - 689/(-159). Let x(s) be the third derivative of -1/12*s**4 + 1/66*s**5 + 2/33*s**3 + 0 + 0*s + 5*s**w. Let x(h) = 0. What is h?
1/5, 2
Let a(p) be the second derivative of -p**4/21 - 248*p**3/21 - 960*p**2/7 + 71*p + 2. Suppose a(y) = 0. What is y?
-120, -4
Factor 1440/19 - 2/19*f**2 - 58/19*f.
-2*(f - 16)*(f + 45)/19
Let f = 31407/28 + -4485/4. Factor 3/7*m + 3/7*m**2 - f - 3/7*m**3.
-3*(m - 1)**2*(m + 1)/7
Determine g so that 147*g**3 - 284*g**3 - 41*g**2 - 1944 - 1269*g + g**2 + 140*g**3 - 158*g**2 = 0.
-3, 72
Let s(n) be the third derivative of 0*n**3 - 529/60*n**4 - 28*n**2 + 23/75*n**5 - 1/300*n**6 + 0 + 0*n. Factor s(d).
-2*d*(d - 23)**2/5
Let t(c) be the second derivative of -c**7/630 - c**6/60 - c**5/15 + 15*c**4/4 + 4*c - 7. Let y(u) be the third derivative of t(u). Factor y(k).
-4*(k + 1)*(k + 2)
Let n(k) be the first derivative of -2/9*k**3 - 193 - 15488/3*k - 176/3*k**2. Let n(r) = 0. Calculate r.
-88
Let c = -6624 + 6627. Let o(a) be the third derivative of -1/720*a**6 - 25/48*a**4 + 1/24*a**5 + 0 + 125/36*a**c - 25*a**2 + 0*a. Factor o(j).
-(j - 5)**3/6
Let z(v) be the third derivative of -v**6/40 + 59*v**5/20 + v**4/8 - 59*v**3/2 - 348*v**2 + 3*v. Suppose z(m) = 0. Calculate m.
-1, 1, 59
Let g(o) be the third derivative of 1/780*o**6 + 0 + 0*o**3 + 14/195*o**5 - 29/156*o**4 - 145*o**2 + 0*o. Determine w so that g(w) = 0.
-29, 0, 1
Let f(x) be the third derivative of x**6/180 + 5*x**5/9 - 109*x**4/12 + 56*x**3 - 213*x**2 - 11*x. Determine b so that f(b) = 0.
-56, 3
Let w(n) be the second derivative of n**9/4536 - n**7/1260 - 14*n**3/3 - n - 9. Let k(p) be the second derivative of w(p). Let k(g) = 0. Calculate g.
-1, 0, 1
Find r such that 908235*r**3 - 908267*r**3 + 30*r**4 + 4*r**5 - 5*r**5 + 3*r**5 = 0.
-16, 0, 1
Let y be 57/72 + 2/(-16). Suppose 290*l - 308 = 852. Factor 0 + 2/3*f + 2*f**3 - y*f**l - 2*f**2.
-2*f*(f - 1)**3/3
Solve 0 + 1/8*m**5 - 109/8*m**4 + 109/8*m**2 - 1/8*m**3 + 0*m = 0.
-1, 0, 1, 109
Suppose -420*t = -388*t - 13984. Suppose z + 4 = -1, 0 = 4*m + 3*z + 3. Suppose 78*v - 5*v**m - t*v - 104*v - 77*v + 1080 + 90*v**2 = 0. What is v?
6
Let u(b) be the third derivative of -139/150*b**5 + 0 + 1/40*b**6 - 69/10*b**4 - 108/5*b**3 - 1/1680*b**8 - 8*b + 2/175*b**7 + 6*b**2. What is j in u(j) = 0?
-2, 9
Factor 776/7*n - 10/7*n**2 + 312/7.
-2*(n - 78)*(5*n + 2)/7
Let k(f) = f + 49. Let p be k(-21). Factor 3*o**3 + 69 - p - 9*o**2 - 29.
3*(o - 2)**2*(o + 1)
Let l(g) be the first derivative of -g**3/12 + 545*g**2/8 + 273*g/2 - 3371. Factor l(y).
-(y - 546)*(y + 1)/4
Let d(n) = 3*n**2 - n**2 - 3*n**2. Let x(y) = -42*y - 8*y**2 + 23 + 1 - 171. Let v(o) = -5*d(o) + x(o). Solve v(c) = 0.
-7
Let y = 3572/13 - 300035/1092. Let g(q) be the second derivative of -y*q**4 - 5*q + 0 + 3/7*q**2 - 1/42*q**3. Factor g(v).
-(v - 2)*(v + 3)/7
Let g(s) = -5*s**3 - 251*s**2 + 182*s + 500. Let x(y) = -5*y**3 - 250*y**2 + 195*y + 500. Let q(t) = 5*g(t) - 6*x(t). Factor q(j).
5*(j - 2)*(j + 1)*(j + 50)
Let c be (-4)/(4*(-2)/6). Let j(p) = -6*p**4 + 15*p**3 - 24*p**2 + 12*p + 3. Let l(f) = f**4 - 1. Let d(z) = c*l(z) + j(z). Suppose d(y) = 0. Calculate y.
0, 1, 2
Let g = 38/149 - 8971/35760. Let s(v) be the third derivative of -3*v**2 - 1/32*v**4 + 0*v + 0 + g*v**5 - 1/6*v**3. Let s(m) = 0. What is m?
-1, 4
Let o(r) be the first derivative of 2*r**5/5 - 6*r**4 - 86*r**3/3 + 174*r**2 + 1008*r + 722. Factor o(z).
2*(z - 14)*(z - 4)*(z + 3)**2
Let q(d) = d**2 + 4*d + 2. Let o be q(-4). Let m = -78115/6 - -52077/4. Factor -m*n - 1/6 + 1/12*n**o.
(n - 2)*(n + 1)/12
Let f(t) be the third derivative of -t**6/1620 + t**5/108 + t**4/18 - 25*t**3/6 - 48*t**2. Let l(j) be the first derivative of f(j). Factor l(g).
-2*(g - 6)*(g + 1)/9
Let i(t) be the second derivative of t**4/48 + t**3/8 - 63*t**2 - 2835*t. Factor i(g).
(g - 21)*(g + 24)/4
Let t(s) be the first derivative of 1/15*s**6 + 2/5*s**2 + 0*s - 2/25*s**5 - 112 - 3/10*s**4 + 2/15*s**3. Let t(o) = 0. What is o?
-1, 0, 1, 2
Suppose 0 = -802*l + 651 + 3359. Let 0*m + 35/2*m**4 + 0*m**2 + 0 - l*m**3 = 0. What is m?
0, 2/7
Let r = -22 + 16. Let z be 26 - (r + 4 + 2). What is b in 15*b**2 - 36*b**2 + z*b**2 - 15*b**3 + 15*b - 5 = 0?
-1, 1/3, 1
Let f(w) be the second derivative of w**5/45 - 539*w**4/9 + 581042*w**3/9 - 313181638*w**2/9 + 14*w + 44. Let f(i) = 0. Calculate i.
539
Suppose 30 = 4*r + 6. Let p(h) = -21*h**2 - 699*h - 711. Let c(l) = 11*l**2 + 349*l + 356. Let i(q) = r*p(q) + 11*c(q). Factor i(m).
-5*(m + 1)*(m + 70)
Let a(c) be the second derivative of 9/10*c**5 - 4/3*c**3 - 2*c**4 + 77*c + 0*c**2 + 0 + 7/15*c**6. Factor a(v).
2*v*(v - 1)*(v + 2)*(7*v + 2)
Let g be (((-432)/(-45))/(-12))/(2/(-10)). Factor -68*q**3 + 4*q**g + 29*q + 116*q + 179*q + 142*q**2 + 110*q**2.
4*q*(q - 9)**2*(q + 1)
Let a(k) = -85*k + 97. Let j be a(-12). Let z = j + -1117. Factor 2/9*o**3 + z + 4/9*o - 2/3*o**2.
2*o*(o - 2)*(o - 1)/9
Let j = 833 + -821. Let t be 44*2/j + -6. Determine f, given that 16/3*f**3 + 4*f**2 + 0 - t*f = 0.
-1, 0, 1/4
Let b(q) be the third derivative of q**9/5040 - q**8/2240 + 5*q**4/6 + 13*q**2. Let g(t) be the second derivative of b(t). Factor g(i).
3*i**3*(i - 1)
Let g = 231 + -202. Suppose -29*t = g*t. What is y in -3/5*y**3 - 6/5*y**2 + 24/5*y + t = 0?
-4, 0, 2
Factor 996*z**2 - 988*z - 132 - 340*z**3 + 39 + 4*z**4 + 48 + 373.
4*(z - 82)*(z - 1)**3
Let g be ((-28)/6)/(-2) + -2. Suppose -65*p + 63*p - 14 = c, 0 = -5*c - 3*p - 14. Factor 16/3*k - g*k**c - 64/3.
-(k - 8)**2/3
Suppose 16 = 24*i - 104. Suppose -3*a - 4*l = -2*l - 15, 0 = -i*a - 4*l + 27. Factor -8/3*b**2 - 8/3*b**a + 0*b - 2/3*b**4 + 0.
-2*b**2*(b + 2)**2/3
Suppose 2135 - 21*b**2 - 44*b - 4011 - b**3 + 2056 = 0. Calculate b.
-18, -5, 2
Let n(f) be the second derivative of 1152*f**2 - 44/3*f**4 + 2/15*f**6 + 4/5*f**5 + 0 - 64*f**3 + 157*f. Find k, given that n(k) = 0.
-6, 4
Let v(s) = 6*s**2 - 1441*s + 3996. Let h(w) 