 i(k).
2*(k + 3)**2/7
Let j(i) be the second derivative of -i**4/21 - 44*i**3/21 - 240*i**2/7 + 3703*i. Find n such that j(n) = 0.
-12, -10
Let k(f) = -2*f**2 - 400*f - 14590. Let l be k(-152). What is w in -2/3*w + 0 + 1/3*w**l = 0?
0, 2
Let y(w) = -w**3 + 8*w**2 + 156*w - 1357. Let n be y(10). Let -2/3*i**4 + 4/3*i**2 + 0*i + 2/3*i**n + 0 = 0. Calculate i.
-1, 0, 2
Suppose -2*c + a + 3 = -6, -a = -3*c + 13. Factor -6990*i**3 + 6978*i**3 + 2*i**5 - 3*i**4 + i**c.
2*i**3*(i - 3)*(i + 2)
Let q(z) be the first derivative of 0*z + 0*z**3 - 1/7*z**2 + 100 + 9/14*z**4. Factor q(u).
2*u*(3*u - 1)*(3*u + 1)/7
Let p(k) be the third derivative of -k**6/150 + 61*k**5/75 - 32*k**4 + 120*k**3 + 8*k**2 + 22. Factor p(q).
-4*(q - 30)**2*(q - 1)/5
Find z such that -2*z + 48 - 36*z**2 - 1/2*z**4 + 27/2*z**3 = 0.
-1, 2, 24
Suppose 19*y = y - 12*y. Let w(v) be the third derivative of y*v + 1/6*v**4 + 0*v**3 - 8*v**2 - 1/10*v**5 + 0 + 1/60*v**6. Let w(f) = 0. Calculate f.
0, 1, 2
Let d = 14555 - 14553. Let s(l) be the first derivative of -1/3*l**d - 4/9*l**3 - 26 + 1/15*l**5 + l + 1/6*l**4. Factor s(r).
(r - 1)**2*(r + 1)*(r + 3)/3
Let n = 84 + -80. Suppose -n = m + m - 2*k, 4*m + k = 12. Determine f so that 24 - 22*f**2 - 13*f**2 + 39*f**m - 28*f = 0.
1, 6
Let s(q) be the third derivative of q**6/30 - 11*q**5/3 + 667*q**4/6 + 1682*q**3 + 1057*q**2. Factor s(k).
4*(k - 29)**2*(k + 3)
Let o be ((-80)/(-24))/(6/1557). Factor -3*b**4 + 1734 - 963*b**2 + 958*b + 105*b**3 - o*b + 570*b.
-3*(b - 17)**2*(b - 2)*(b + 1)
Let f(x) be the third derivative of -x**5/90 - 13*x**4/36 - 4*x**3/3 - 1908*x**2. Suppose f(c) = 0. Calculate c.
-12, -1
Let 27*n + 0 + 1/3*n**4 - 17/3*n**3 + 21*n**2 = 0. Calculate n.
-1, 0, 9
Let i be 2/(-1 - 13/(-14))*1. Let s = 30 + i. Determine w so that -10*w**3 - 4*w**2 + 5*w - 2*w - w - 4*w**s = 0.
-1, 0, 1/5
Let f(y) be the third derivative of -1/32*y**6 + 0 - 15/4*y**3 - 5/12*y**5 - 5*y**2 - 12*y - 65/32*y**4. Factor f(m).
-5*(m + 3)**2*(3*m + 2)/4
Let b(g) be the first derivative of -g**5/35 + 3*g**4/4 - 19*g**3/7 + 55*g**2/14 - 18*g/7 - 1193. Solve b(x) = 0 for x.
1, 18
Let h(u) be the first derivative of -2*u**6/3 + 64*u**5 + 81*u**4 - 2446. Find y, given that h(y) = 0.
-1, 0, 81
Let w(j) = j**2 + 11*j + 16. Let z = 82 - 92. Let h be w(z). Suppose -6 - 6*r**3 + h + 5 + 15*r**2 - 15*r + r**3 = 0. What is r?
1
Let h(a) be the second derivative of a**4/28 - 349*a**3/14 - 75*a**2 - 2587*a. Factor h(g).
3*(g - 350)*(g + 1)/7
Let q(c) be the second derivative of -5*c + 5/27*c**3 - 2/3*c**2 - 1/90*c**5 + 1/27*c**4 - 1. Solve q(t) = 0.
-2, 1, 3
Let v(a) be the first derivative of a**4/2 + 16*a**3/3 - 15*a**2 - 108*a + 1404. Factor v(b).
2*(b - 3)*(b + 2)*(b + 9)
Let l = 62 + -54. Let x be 2/l + (-150)/(-40). Let 0*g**3 + 14*g**3 - g**5 - 94*g**x + 98*g**4 + 8*g**2 - g**5 = 0. Calculate g.
-1, 0, 4
What is f in -32720*f**3 + 565504 - f**5 + 79270*f - 101249*f - 149315*f**2 - 83318*f + 369*f**4 - 95069*f**2 - 183471*f = 0?
-4, 1, 188
Let u = 2134 + -6400/3. Let o(f) be the third derivative of 1/30*f**6 - 13*f**2 - 1/15*f**5 + 0 + 0*f - 1/6*f**4 + u*f**3. What is l in o(l) = 0?
-1, 1
Let c(m) = -25*m - 122 - 234 - 273 + 283. Let d be c(-14). Factor -d - 10/3*n - 2/3*n**2.
-2*(n + 2)*(n + 3)/3
Let w(i) = -10*i**5 - 55*i**4 + 120*i**3 - 75*i**2. Let v(b) = 9*b**5 + 55*b**4 - 121*b**3 + 73*b**2. Let a(p) = -5*v(p) - 4*w(p). Let a(l) = 0. Calculate l.
-13, 0, 1
Find m such that -7/3*m**3 + 0 + 5/3*m**2 - 4/3*m**4 + 2*m = 0.
-2, -3/4, 0, 1
Let 2/7*o**4 - 38/7*o**3 - 118*o - 56 - 474/7*o**2 = 0. Calculate o.
-7, -1, 28
What is f in -f**2 - 326 - 855 - 1647 + 184*f + 712 - 3*f**2 = 0?
23
Factor 576 - 456*l + 361/4*l**2.
(19*l - 48)**2/4
Suppose 3*x - 5*r - 49 = 0, 2*x + r - 4*r = 33. Let d(h) = 39*h**2 - 126*h + 207. Let u(v) = 11*v**2 - 36*v + 59. Let t(c) = x*u(c) - 5*d(c). Factor t(y).
3*(y - 3)**2
Let p(l) be the third derivative of l**5/40 - 1303*l**4/8 + 1697809*l**3/4 + 3641*l**2. Factor p(f).
3*(f - 1303)**2/2
Let h = 21569/10 - 43123/20. Factor -9/4*a**2 + 9/4*a - h + 3/4*a**3.
3*(a - 1)**3/4
Suppose -16264 = -5005*v - 6254. Factor -1/6*s**3 + 1 + 5/6*s - 1/3*s**v.
-(s - 2)*(s + 1)*(s + 3)/6
Factor 1/3*x**3 + 43/2*x + 15/2*x**2 - 38/3.
(x + 4)*(x + 19)*(2*x - 1)/6
Let b be ((-3096)/288 - -46) + 75. Suppose -1/4*g**2 - b + 21/2*g = 0. What is g?
21
Factor -117*w**4 - 3/5*w**5 + 0 - 1779/5*w**2 + 594/5*w + 1773/5*w**3.
-3*w*(w - 1)**3*(w + 198)/5
Let s(i) be the second derivative of i**4/6 - 152*i**3/3 + 14*i + 1. Factor s(v).
2*v*(v - 152)
Factor -52/5*v**2 - 72 - 804/5*v.
-4*(v + 15)*(13*v + 6)/5
Let c(h) be the second derivative of -h**7/147 - 41*h**6/315 + h**5/15 - 2*h + 3372. Factor c(s).
-2*s**3*(s + 14)*(3*s - 1)/21
Let g = -169 + 172. Suppose 62*i**2 + i**3 + 2*i**3 - 50*i**2 + 0*i**g = 0. Calculate i.
-4, 0
Let f = -404 - -406. Suppose -52 + 30*q**f + 20*q - 3 - 25*q**3 + 15 + 5*q**4 = 0. Calculate q.
-1, 2
Let x(b) = b**3 + b**2 + 2*b. Let u(a) = 9*a + 208. Let s be u(-22). Let c(h) = h**4 - 14*h**3 + 24*h**2 - 49*h + 18. Let w(f) = s*x(f) + 2*c(f). Factor w(o).
2*(o - 3)**2*(o - 2)*(o - 1)
Let f(x) be the third derivative of x**8/210 - x**7/75 - x**6/100 + 11*x**5/150 - x**4/12 - 453*x**2. Factor f(a).
2*a*(a - 1)**3*(4*a + 5)/5
Let -624*k + k**3 + 8*k**3 - 730*k - 1002*k**2 - 248 - 17*k**3 + 112*k = 0. Calculate k.
-124, -1, -1/4
Factor -1/3*c**3 - 3 - 19/3*c - 11/3*c**2.
-(c + 1)**2*(c + 9)/3
Let n(p) = -3*p**2 - 132*p + 6978. Let i be n(31). Factor 0 - 4/3*r**i + 0*r + 8/3*r**2.
-4*r**2*(r - 2)/3
Let b(w) be the third derivative of -w**7/945 - 11*w**6/540 - 7*w**5/45 - 17*w**4/27 - 40*w**3/27 + 3444*w**2. Factor b(c).
-2*(c + 2)**3*(c + 5)/9
Suppose 18*k = -17*k + 163 - 23. Let l(d) be the third derivative of -2/45*d**5 - 4*d**2 + 19/36*d**k + 0*d + 5/9*d**3 + 0. Suppose l(u) = 0. What is u?
-1/4, 5
Let z(w) be the third derivative of w**7/420 - 11*w**6/240 + 13*w**5/60 - w**4/3 - 82*w**2. Factor z(m).
m*(m - 8)*(m - 2)*(m - 1)/2
Let a be (2 - -6)/(84*(-279)/(-2387) - 2/(-11)). Factor -a*o**4 + 4/5*o**3 + 64/5*o**2 + 16*o + 0.
-4*o*(o - 5)*(o + 2)**2/5
Let y(z) be the third derivative of z**5/420 + 251*z**4/84 - 76*z**2. Factor y(r).
r*(r + 502)/7
Let a(m) be the third derivative of 2*m**7/525 + m**6/300 - 55*m**3/3 + 117*m**2. Let q(j) be the first derivative of a(j). Suppose q(l) = 0. Calculate l.
-3/8, 0
Let r = 280 - 259. Factor -211 + 15*f**2 - 156*f + 51 + r*f**2 - 50*f**2 + 18*f**2.
4*(f - 40)*(f + 1)
Suppose 18*o = 12*o + 702. Suppose 64 + 41*w**2 + o*w**2 - 28*w**3 - 272*w + 18*w**2 = 0. What is w?
2/7, 2, 4
Factor -142*n**2 - 25 + 25*n**3 - 54*n**2 - 3*n - 29*n + 25.
n*(n - 8)*(25*n + 4)
Let j = -36067 - -396753/11. Let y be (240/55 + -4)/2. Solve -14/11 + j*h - y*h**2 = 0.
1, 7
Let s be (3 - (-1 + 6/((-504)/(-330))))/(138/483). Factor s*w**2 + 15/2 + 11/4*w.
(w + 5)*(w + 6)/4
Let g(l) be the first derivative of l**5/240 - l**4/12 + 7*l**3/24 + 21*l**2/2 + 17. Let z(y) be the second derivative of g(y). Factor z(v).
(v - 7)*(v - 1)/4
Let w(g) be the third derivative of g**7/210 + g**6/5 + 17*g**5/30 + 35*g**3/6 - 3*g**2 - 9. Let y(n) be the first derivative of w(n). Factor y(z).
4*z*(z + 1)*(z + 17)
Let v(c) be the first derivative of -10*c**2 + 0*c - 5/3*c**3 - 100. Suppose v(q) = 0. Calculate q.
-4, 0
What is z in -13*z**2 - 42*z**2 + 0*z - z**3 - 37*z - 432 - 109*z + 88*z**2 = 0?
-2, 8, 27
Let q(i) be the first derivative of 2/25*i**5 - 114 - 8/15*i**3 - 1/10*i**4 + 0*i + 4/5*i**2. What is u in q(u) = 0?
-2, 0, 1, 2
Suppose 390*h + 52*h = 2210. Let f(q) be the third derivative of 11*q**2 + 0 - 1/10*q**h + 0*q**4 + 0*q**3 + 0*q - 1/60*q**6. Factor f(u).
-2*u**2*(u + 3)
Let d = 482 - 486. Let y be 12*(-1)/(-7 - d). Determine v so that -4/5*v**2 + 1/5*v**5 + 0 + 8/5*v**3 + 0*v - v**y = 0.
0, 1, 2
Let x be (180/80)/(3/4). Factor x*r**2 - 140*r + 2*r**2 + 300 - 445.
5*(r - 29)*(r + 1)
Let h(b) be the third derivative of 0*b**3 - 1/210*b**6 + 2/735*b**7 - 79*b**2 + 0 - 4/105*b**5 + 0*b + 2/21*b**4. Suppose h(c) = 0. What is c?
-2, 0, 1, 2
Let f be 32/(-120) - (-28)/(-70)*3/(-2). Factor -o + f*o**3 - 4/3*o**2 + 6.
(o - 3)**2*(o + 2)/3
Determine d so that -446/7*d + 528/7 - 80/7*d**2 - 2/7*d**3 = 0.
-33, -8, 1
Let n(i) = -8*i**3