r(p) = 6*p**2 - 271*p + 2911. Let m(c) = q*d(c) + 4*r(c). Let m(u) = 0. What is u?
22
Let m(i) = 5 - 7 - 84*i**2 - 2*i**4 + 2*i + 91*i**3 + 3*i**4. Let p(l) = 4*l**4 + 184*l**3 - 168*l**2 + 5*l - 5. Let x(h) = 5*m(h) - 2*p(h). Factor x(q).
-3*q**2*(q - 28)*(q - 1)
Let h be (-78)/((-40)/((-160)/(-36))) - -8. Suppose -h*t**4 + 655/6*t**3 + 5/6*t**5 + 0 - 760/3*t**2 + 160*t = 0. What is t?
0, 1, 3, 8
Let q = 2443/10980 - 1/3660. Let a(d) be the second derivative of 20*d + 0 + 1/15*d**5 + 1/135*d**6 + q*d**4 + 0*d**2 + 8/27*d**3. Solve a(z) = 0.
-2, 0
Let q(g) be the first derivative of 128/3*g**2 + 0*g - 32/9*g**3 + 1/12*g**4 - 109. Factor q(h).
h*(h - 16)**2/3
Let i(j) be the third derivative of j**6/120 - 59*j**5/60 + 23*j**4/2 - 54*j**3 + 556*j**2 + 2*j. Factor i(f).
(f - 54)*(f - 3)*(f - 2)
Let f(g) be the first derivative of g**3/3 - 16*g + 47. Let q(p) = -p**2 - 4*p. Let k(z) = f(z) + 2*q(z). Let k(w) = 0. Calculate w.
-4
Let s be 2/3*359/718. Determine j so that s*j**2 - 8/3*j + 16/3 = 0.
4
Let v = 580 + -577. Let j be (-19)/(-95) + 38/(-15) + v. Factor 0 - j*u - 1/3*u**2.
-u*(u + 2)/3
Factor 108*s**3 + 144*s**2 + 0*s + 24*s**4 + 0 + 4/3*s**5.
4*s**2*(s + 3)**2*(s + 12)/3
Let r(p) be the first derivative of 3/20*p**5 - 6*p**3 - 24*p**2 + 40 + 49*p + 0*p**4. Let a(b) be the first derivative of r(b). Solve a(i) = 0.
-2, 4
Let v(t) be the first derivative of 0*t**2 - 1 + 1/18*t**3 - 6*t + 1/36*t**4. Let d(m) be the first derivative of v(m). Factor d(i).
i*(i + 1)/3
Let t be (4/((-48)/(-18)))/(13/(520/90)). Find c, given that 0 - 2/9*c**2 - 2/3*c**3 + t*c + 2/9*c**4 = 0.
-1, 0, 1, 3
Let -2/5*y**2 + 288/5*y + 58 = 0. What is y?
-1, 145
Let r(p) be the third derivative of -42*p**2 - 3/14*p**4 + 1/784*p**8 - 3/490*p**7 + 0 - 1/280*p**6 + 2/7*p**3 + 0*p + 11/140*p**5. Find b such that r(b) = 0.
-2, 1, 2
Let h(n) = n**3 - 13*n**2 - 2*n + 26. Let x be h(13). Factor -13*q**2 - 15*q**3 + 8*q + 19*q**3 + x*q**2 + q**2.
4*q*(q - 2)*(q - 1)
Let b(n) = 6*n**4 + 21*n**3 - 111*n**2 + 15. Let v = -240 - -255. Let x(j) = j**4 + 3*j**3 - 16*j**2 + 2. Let u(r) = v*x(r) - 2*b(r). Solve u(k) = 0 for k.
-3, 0, 2
Let s = 20819/5 + -4746721/1140. Let y(b) be the third derivative of 0*b + 1/285*b**5 - s*b**6 + 3/665*b**7 + 0*b**3 + 0*b**4 + 10*b**2 + 0. Factor y(a).
2*a**2*(a - 1)*(9*a - 2)/19
Let u(l) be the third derivative of -5/28*l**5 - 13/21*l**3 - 23/840*l**6 + 5*l + 25*l**2 + 0 + 1/1470*l**7 - 11/24*l**4. Factor u(n).
(n - 26)*(n + 1)**3/7
Let k(f) be the first derivative of -f**3/15 + 323*f**2/10 - 322*f/5 - 1496. Solve k(l) = 0 for l.
1, 322
Let g(k) be the third derivative of k**6/300 - 87*k**5/100 + 43*k**4/40 + 13*k**3/3 - 52*k**2 - 3*k + 6. Let g(l) = 0. What is l?
-1/2, 1, 130
Let g be -24*266/(-2280) - 4/5. Let y(d) be the first derivative of 0*d - 20 - 2/9*d**g - 2/27*d**3. Factor y(i).
-2*i*(i + 2)/9
Factor -93/2*f + 0 - 3/4*f**2.
-3*f*(f + 62)/4
Factor -44/13*k**3 - 2/13*k**5 + 16/13*k**4 + 56/13*k**2 + 8/13 - 34/13*k.
-2*(k - 4)*(k - 1)**4/13
Let 178 + 184/3*t - 184/3*t**3 - 2/3*t**4 - 532/3*t**2 = 0. Calculate t.
-89, -3, -1, 1
Let u = -391150/7 - -55879. Let v = 479 + -3347/7. Factor -v + u*l**2 + 3/7*l.
3*(l - 1)*(l + 2)/7
What is s in 18*s**2 - 2*s**4 - 6*s - 8/3*s**5 + 0 + 74/3*s**3 = 0?
-3, -1, 0, 1/4, 3
Let f(d) be the second derivative of -d**4/66 - 43*d**3/3 + 338*d - 1. Factor f(c).
-2*c*(c + 473)/11
Let j(f) be the third derivative of f**5/60 + 137*f**4/24 - 23*f**3 + 566*f**2. Find c such that j(c) = 0.
-138, 1
Factor -35*h**2 - h**3 + 2807623*h - 2807623*h.
-h**2*(h + 35)
Let d be (-210)/672*(-2)/(-5) + 22/160. Let y(b) be the second derivative of -1/8*b**4 + 0 + 30*b - d*b**5 - 1/2*b**2 - 3/8*b**3. Factor y(j).
-(j + 1)**2*(j + 4)/4
Let v be (-2*1)/(22/(792/126))*-7. Suppose l - 5/2*l**2 - 1/4*l**3 + 1/4*l**v + 6 = 0. What is l?
-2, 2, 3
Suppose 208 = -q - q - 3*i, -4*i + 16 = 0. Let h = q - -114. Determine u so that 3/4*u**h + 0 - 9/4*u**3 - 15/4*u**2 + 3/4*u**5 - 3/2*u = 0.
-1, 0, 2
Let y = -32810911/93585 - -2/18717. Let x = y - -351. Solve 6/5*w**2 + 0 - 2/5*w - 6/5*w**3 + x*w**4 = 0 for w.
0, 1
Let s be ((-2)/(-6) + 0)*(7 + -4). Suppose 3*g = -2*h + 2, -5 = -g + h - s. Factor -5*d**2 + 97*d - 96*d + g*d**2 + 2*d**3.
d*(d - 1)*(2*d - 1)
Find a, given that -68*a + 4*a**2 - 459 - 224 + 891 = 0.
4, 13
Let p(k) = -4*k**2 - 149*k + 2035. Let m = -7 + 3. Let w(q) = q**2 + 50*q - 678. Let u(b) = m*p(b) - 14*w(b). Factor u(t).
2*(t - 26)**2
Let l = 287962/279 + -31982/31. What is g in 2/9*g**4 + 0 - 2/9*g**5 - 10/9*g**2 + 2/3*g**3 + l*g = 0?
-2, 0, 1
Factor 4673 - 2731*l - 4*l**2 - 453*l - 7525 - 6664.
-4*(l + 3)*(l + 793)
Let w = 163772 + -163770. Factor 2/7*m**w + 30/7*m + 0.
2*m*(m + 15)/7
Find w, given that -8/3*w + 1/6*w**2 - 6 = 0.
-2, 18
Let d(k) be the first derivative of -5*k**4/16 + 1523*k**3/12 + 535*k**2/2 + 153*k - 584. Factor d(m).
-(m - 306)*(m + 1)*(5*m + 2)/4
Factor -144/5*c + 2/5*c**2 + 56.
2*(c - 70)*(c - 2)/5
Let u(q) be the third derivative of q**5/360 - 79*q**4/144 - 83*q**3/9 - 43*q**2 + 43*q. Factor u(s).
(s - 83)*(s + 4)/6
Let u(y) be the third derivative of y**7/315 + 4*y**6/45 + 23*y**5/30 + 3*y**4/2 - 1857*y**2. Factor u(j).
2*j*(j + 1)*(j + 6)*(j + 9)/3
Factor 0 + 16/15*k - 14/15*k**2 - 2/15*k**3.
-2*k*(k - 1)*(k + 8)/15
Let u be ((-8)/18)/(158/18 - 9). Factor -170*j**3 + 28*j**u + 40*j**2 + 15*j**4 - 18*j**2 + 257*j**2 - 90*j + 18*j**2.
5*j*(j - 9)*(j - 2)*(3*j - 1)
Let t = 10 - 6. Suppose n + 29 = -2*w + 5*w, -60 = -4*w - t*n. Factor w*a - 25*a**3 + 12*a**4 - 46*a + 12 - 2 + 45*a**2 - 7*a**4.
5*(a - 2)*(a - 1)**3
Let l(y) be the third derivative of y**5/12 + 1415*y**4/24 + 235*y**3 + 310*y**2 - 5. Let l(r) = 0. Calculate r.
-282, -1
Let j be ((-5)/3 + -2)*-3. Let v(g) = -j + 37*g - 9*g - 13*g**2 + 32*g**2 + 15*g. Let l(z) = z**2 - z + 1. Let f(d) = 6*l(d) + 2*v(d). Factor f(u).
4*(u + 2)*(11*u - 2)
Suppose 1859 = 837*w + 143 + 42. Factor 4/3*d + 7 - 1/3*d**w.
-(d - 7)*(d + 3)/3
Let j(q) be the second derivative of q**6/180 + 11*q**5/60 - 35*q**4/9 - 11*q**3/18 + 93*q**2/4 - 2683*q. Suppose j(a) = 0. What is a?
-31, -1, 1, 9
Let v(p) = 5*p - 90. Let a be v(23). Suppose 5*d + o + a = 38, 3*o = -2*d + 13. Determine m so that -1/8*m**4 + 0*m**d + 0 + 0*m - 1/4*m**3 = 0.
-2, 0
Let d be (6 - -3) + 9 + -16. Factor -12 + 9*w - w**d - 11 + 13 + 7*w - 5*w.
-(w - 10)*(w - 1)
Let n(b) be the first derivative of 28*b**2 + 0*b - 3*b**4 - 76/3*b**3 - 156. Find c such that n(c) = 0.
-7, 0, 2/3
Factor -84/11 - 4/11*b**2 + 58/11*b - 2/11*b**3.
-2*(b - 3)*(b - 2)*(b + 7)/11
Suppose -i + 41 = -d, -i = 4*i + 20. Let p be (-3)/((d/6)/5). Suppose -8*q**2 + 128 - 61*q**2 - 12*q**3 - 49*q**p + 30*q**2 - 128*q = 0. Calculate q.
-4, 2/3
Suppose 0 = 13*l - 19*l + 24. Let 22*d**3 + 241*d**2 - 5*d**l - 256*d**2 + 20 - 2*d**3 - 20*d = 0. What is d?
-1, 1, 2
Let u(q) be the second derivative of -q**7/105 - q**6/15 + 21*q**5/25 + 74*q**4/15 + 8*q**3/15 - 192*q**2/5 - 2*q + 1536. Find l, given that u(l) = 0.
-8, -2, 1, 6
Let r(w) be the third derivative of -w**7/735 + 589*w**6/60 - 188925*w**5/7 + 216633771*w**4/7 - 864647208*w**3/7 + 25*w**2 - 23*w - 2. Factor r(x).
-2*(x - 1374)**3*(x - 1)/7
Factor -49223 + 15287*i + 1060728 - 1091*i - 23*i**2 + 72*i**2 + 16691.
(7*i + 1014)**2
Let a(v) be the first derivative of 2*v**7/35 + v**6/15 - 3*v**5/5 + 8*v**3/3 + 15*v**2/2 + 316. Let x(s) be the second derivative of a(s). Factor x(n).
4*(n - 1)**2*(n + 2)*(3*n + 2)
Let x(w) be the third derivative of -4/105*w**7 - 4*w**2 + 0*w**3 + 0*w**4 + 0*w - 4 + 2/15*w**5 - 1/30*w**6 + 1/84*w**8. Find u, given that x(u) = 0.
-1, 0, 1, 2
Let o(d) be the second derivative of -4*d**3 - 45*d**2 - 6*d. Let r(v) = -v**2 - 49*v - 180. Let q(j) = 7*o(j) - 3*r(j). Suppose q(t) = 0. What is t?
-3, 10
Let h(b) be the second derivative of b**5/120 + b**4/4 - 15*b**2 - 52*b. Let y(r) be the first derivative of h(r). Factor y(l).
l*(l + 12)/2
Let o(w) be the second derivative of -3*w**7/14 + 11*w**6/10 - 21*w**5/20 - 11*w**4/4 + 5*w**3 - 368*w. Solve o(m) = 0 for m.
-1, 0, 1, 5/3, 2
Suppose 5*z - 3*l - 13 = 0, l - 8 = -4*z + 4*l. Suppose 0 = -54*c + 389 - 119. Find v such that -z*v**4 - 5*v**c + 0*v**5 + 0*v**4 = 0.
-1, 0
Suppose 38*f - 298 = -146. Let x(r) be the f