2 + q*x = 0?
-21
Find o, given that 13177860*o**3 - 7154*o - 18*o - 4744*o - 121971933*o**3 + 1954570*o**2 + 17528*o**2 + 24 = 0.
2/331
Let f be 3/(6/(-10)) - (2373 + -2380). Suppose -1/3*k**f - 2/3*k + 8 = 0. Calculate k.
-6, 4
Let d(q) = -7*q**2 - 12*q - 35. Let i be d(-2). Let z be (-124)/138 + -2 + (-130)/i. Factor -12/23 + z*o + 2/23*o**2.
2*(o - 1)*(o + 6)/23
Let c be (9 + -2 - (-68 - -75)) + (5 - 1). Factor 11/8*m**3 + 1 + 1/8*m**c + 27/8*m**2 + 25/8*m.
(m + 1)**3*(m + 8)/8
Let b(o) be the second derivative of 0 + 0*o**2 + 4*o - 4/75*o**6 + 16/15*o**4 + 64/15*o**3 + 1/105*o**7 - 6/25*o**5. Let b(h) = 0. What is h?
-2, 0, 4
Suppose -5*x + 44 = 2*a, 5*x + 4*a - 40 = x. Suppose -4*k = -x*k + 12. What is t in -73*t**2 + k - 2 + 5*t - 2 + 69*t**2 = 0?
1/4, 1
Let u(r) = 141*r**2 - 3036*r + 8580. Let a(z) = -198*z**2 + 4250*z - 12012. Let i(n) = 12*a(n) + 17*u(n). Let i(w) = 0. Calculate w.
22/7, 26
Let l(d) be the third derivative of d**7/105 - d**6/20 - 49*d**5/15 - 32*d**4 - 416*d**3/3 + 739*d**2. Factor l(f).
2*(f - 13)*(f + 2)*(f + 4)**2
Let d be ((-6327)/76)/(2/7*84/(-16)). Determine a, given that d*a - 3/2*a**2 + 57 = 0.
-1, 38
Let q(u) = 4*u**2 + 14*u - 15. Let x be q(-5). Let j be -123*4/(-60) + (-3)/x. Determine n, given that 2*n**2 - 4 + j*n + 6*n**3 - 14*n + 0*n + 2*n**4 = 0.
-2, -1, 1
Suppose 0 = -5*h + 8*h - 36. Let q be h*(60/16 - 3). Let -7 + 11*u + q*u - 18*u**2 - 4*u**4 + 4*u**3 + 9*u**4 - 4*u**4 = 0. What is u?
-7, 1
Determine r so that 37*r - 3*r**3 - 97*r**2 + 73*r**2 + 23*r = 0.
-10, 0, 2
Determine k, given that -1560/7*k**2 - 50/7*k**3 - 1818/7*k - 540/7 = 0.
-30, -3/5
Let t = 59 - 55. Suppose -6 = -i - t. Factor 5*b**3 + 0*b**2 + 935*b - 945*b + 5*b**i.
5*b*(b - 1)*(b + 2)
Solve 0 - 6/5*d**2 + 72/5*d - 3/5*d**3 = 0.
-6, 0, 4
Let h(n) be the third derivative of n**8/168 - n**7/21 + n**6/30 + 4*n**5/15 + 14*n**2 + 11*n. Factor h(r).
2*r**2*(r - 4)*(r - 2)*(r + 1)
Determine i so that 4*i**5 + 300*i**3 - 60*i**4 + 197*i**2 - 471*i**2 - 226*i**2 = 0.
0, 5
Let h(o) be the first derivative of -3303/16*o**4 - 363/2*o**2 + 0*o + 273/20*o**5 + 67 + 374*o**3 - 1/4*o**6. Determine s so that h(s) = 0.
0, 1/2, 1, 22
Solve -58/21*b**3 + 20/7*b - 2/21*b**5 + 26/21*b**2 + 0 - 26/21*b**4 = 0.
-10, -3, -1, 0, 1
Let x(k) be the third derivative of 0*k + 1/20*k**5 + 11/72*k**4 + 38*k**2 + 1/9*k**3 + 0. Factor x(v).
(v + 1)*(9*v + 2)/3
Suppose 467 = g - 22*g + 509. What is t in -14/3 - 4*t**g - 9*t + 1/3*t**3 = 0?
-1, 14
Solve -1/4*f**5 + 5/2*f + 7/4*f**2 + 0 - 7/4*f**4 - 9/4*f**3 = 0 for f.
-5, -2, -1, 0, 1
Let f(q) = -14*q**2 - 196*q - 187. Let p(h) = 17*h**2 + 196*h + 185. Let o(z) = -6*f(z) - 5*p(z). Factor o(c).
-(c - 197)*(c + 1)
Let w(p) be the first derivative of -p**6/51 + 26*p**5/85 - 65*p**4/34 + 310*p**3/51 - 174*p**2/17 + 144*p/17 - 1200. Suppose w(m) = 0. Calculate m.
1, 2, 3, 4
Let u(d) = d**3 - 84*d**2 + 161*d + 249. Let q be u(82). Factor -9/8*f**2 + 1/8*f**q + 5/2*f - 3/2.
(f - 6)*(f - 2)*(f - 1)/8
Let k = 691 - 689. Let v(q) be the first derivative of -5/6*q**2 + 17 + 1/9*q**3 + k*q. Factor v(w).
(w - 3)*(w - 2)/3
Let w be (5/2 - 2)/(52/24 - 2). Let u(f) be the second derivative of 0*f**2 - 2/3*f**w - 1/30*f**6 - 15*f - 1/10*f**5 + 7/12*f**4 + 0. Factor u(o).
-o*(o - 1)**2*(o + 4)
Let -14/5*h**2 + 266/5 + 109/5*h - 1/5*h**3 = 0. What is h?
-19, -2, 7
Suppose -74 + 83 = v. Suppose 2 + 0*w**2 - 2*w**3 - 3*w**2 - 4*w - 7 + w**4 + v + 4*w**3 = 0. Calculate w.
-2, 1
Let v(d) be the third derivative of -d**5/100 + 37*d**4/5 + 765*d**2 + d. Factor v(b).
-3*b*(b - 296)/5
Let q(y) be the third derivative of -8788*y**4 + 0*y - 13/5*y**6 + 228488*y**3 + 68*y**2 + 0 + 1/70*y**7 + 1014/5*y**5. Factor q(b).
3*(b - 26)**4
Let f(p) be the second derivative of -p**7/3360 + p**6/144 - p**3/3 + 2*p**2 + 20*p. Let o(c) be the second derivative of f(c). Suppose o(g) = 0. What is g?
0, 10
Let y(q) = -11*q**3 - 145*q**2 - 356*q + 60. Let u(m) = -11*m**3 - 145*m**2 - 356*m + 84. Let b(h) = -5*u(h) + 6*y(h). Factor b(w).
-(w + 3)*(w + 10)*(11*w + 2)
Let d(t) = -2*t**3 + 157*t**2 + 239*t + 80. Let l be d(80). Let 0 + 2/5*q**5 + 0*q - 4/5*q**4 - 6/5*q**3 + l*q**2 = 0. What is q?
-1, 0, 3
Factor -265925*b**2 + 845 - 184*b + 54*b + 265930*b**2.
5*(b - 13)**2
Let t(z) be the second derivative of -z**5/5 + z**4/2 - z**2 - 263*z. What is p in t(p) = 0?
-1/2, 1
Let r be (-31)/124*146*2/(-10). Let s = 39/5 - r. Solve 0 - 1/4*p**2 + s*p = 0 for p.
0, 2
Let u(s) be the second derivative of -s**6/2160 + 7*s**5/144 - 17*s**4/72 - 83*s**3/6 - 63*s - 1. Let i(k) be the second derivative of u(k). Factor i(y).
-(y - 34)*(y - 1)/6
Factor -1/4*c**4 - 95/4*c - 57/4*c**2 - 25/2 - 13/4*c**3.
-(c + 1)*(c + 2)*(c + 5)**2/4
Let q(l) be the second derivative of 8/3*l**3 - 19*l - 1/15*l**5 + 5*l**2 + 7/3*l**4 + 0 - 7/60*l**6. Let d(o) be the first derivative of q(o). Factor d(c).
-2*(c - 2)*(c + 2)*(7*c + 2)
Let z(x) be the third derivative of -50*x**2 - 6/7*x**4 - 216/7*x**3 + 0 - 1/105*x**5 + 0*x. Factor z(v).
-4*(v + 18)**2/7
Let l be 14/7 - (10/5)/(-1). Let o be l + -4 - (-8)/22. Let 6/11 - 4/11*d - 8/11*d**2 + o*d**3 + 2/11*d**4 = 0. What is d?
-3, -1, 1
Let k(y) be the third derivative of y**8/1848 + 43*y**7/1155 - 23*y**6/110 - 835*y**2 - 2*y - 3. Solve k(o) = 0 for o.
-46, 0, 3
Let w(o) be the first derivative of o**5 - 40*o**4 - 335*o**3/3 - 85*o**2 + 1469. Factor w(n).
5*n*(n - 34)*(n + 1)**2
Suppose 5 = -3*x - q + 13, 4*q = 4*x. Let l be 12/9 - x - (-532)/342. Find r such that 100/9*r**2 + 42*r**3 + l*r + 0 + 27*r**4 - 81*r**5 = 0.
-2/9, 0, 1
Factor 3*d**2 - 50617 + 16868 + 65732 + 33729 - 888*d.
3*(d - 148)**2
Factor -433/3*z**3 - 373246/3*z - 371522/3 - 63071/2*z**2 - 1/6*z**4.
-(z + 2)**2*(z + 431)**2/6
Suppose 0 = -2*y - 2, 2*k + y - 3*y - 8 = 0. Suppose -613 + 447 = -83*r. Solve x**r + 0*x + 2/3*x**k - 1/3 = 0.
-1, 1/2
Let s(r) = 28*r - 8. Let p be s(1). Suppose 43*d = 33*d + p. Determine g, given that 0 + 8/9*g**d - 2/3*g - 2/9*g**3 = 0.
0, 1, 3
Let r = 272 - 270. Let -28*w**3 + 0*w - 16*w - 15*w**2 + 27*w**3 - r*w**2 = 0. What is w?
-16, -1, 0
Let k(d) be the first derivative of 65*d**4/4 - 25*d**3/3 - 620*d**2 + 1200*d + 176. Solve k(j) = 0.
-60/13, 1, 4
Let k(t) be the first derivative of 3*t**5/5 - 1554*t**4 + 1609944*t**3 - 833950992*t**2 + 215993306928*t + 2790. Let k(w) = 0. Calculate w.
518
Let v(y) be the first derivative of -y**6/21 - 22*y**5/35 + 81*y**4/14 + 22*y**3/21 - 80*y**2/7 - 1053. Let v(n) = 0. Calculate n.
-16, -1, 0, 1, 5
Let o = -5093 + 5096. Factor -2/3*u - 4/3 + 8/3*u**2 + 2*u**o.
2*(u + 1)**2*(3*u - 2)/3
Let 10 - 5*u**3 - 386*u - 380*u - 54*u**2 + 727*u = 0. Calculate u.
-10, -1, 1/5
Let h = -221/140 - -2293/1120. Let c(q) be the first derivative of -3/4*q**3 - h*q**4 - 3/16*q**2 + 43 + 0*q. Factor c(p).
-3*p*(p + 1)*(5*p + 1)/8
Let h(g) = -2959*g + 5918. Let o be h(2). Determine z so that 0*z + 1/5*z**4 + o - 2/5*z**3 + 1/5*z**2 = 0.
0, 1
Let z(b) = -19*b**2 - 14*b + 4. Let l(x) = -x**2 - x + 1. Let g be 3 + -3 + 3*-29. Let t = g - -86. Let n(f) = t*l(f) - z(f). Factor n(r).
5*(r + 1)*(4*r - 1)
Let w = -1537/4 + 1539/4. Let c(r) be the first derivative of -23 + 2/3*r**3 - 8*r + w*r**4 - 4*r**2. Factor c(b).
2*(b - 2)*(b + 1)*(b + 2)
Find h such that -15*h**4 + 0*h**4 - 2*h**4 + 460*h**2 + 440*h + 0*h**4 + 2*h**4 - 310*h**3 = 0.
-22, -2/3, 0, 2
Let z(g) be the second derivative of 5/2*g**2 + 162*g + 1/20*g**5 - 5/12*g**4 + 0 - 1/6*g**3. Suppose z(n) = 0. What is n?
-1, 1, 5
Let f(u) = -u**2 + 10*u - 11. Let l be f(5). Suppose 0 = w - 21*w - l*w. Determine z, given that -2/9*z**2 - 2/9*z + w = 0.
-1, 0
Let l(c) = 8*c**2 + 1. Let y(r) = -37*r**2 + 1305*r + 1306. Let m(s) = 4*l(s) + y(s). Factor m(v).
-5*(v - 262)*(v + 1)
Let z(j) = 3252*j - 22764. Let h be z(7). Suppose 2/5*r**2 - 3/5*r**3 + 0*r + h*r**4 + 1/5*r**5 + 0 = 0. Calculate r.
-2, 0, 1
Let c(p) = -4*p**2 - 36*p - 68. Let j(o) = -o + 2. Suppose -245 = -5*y - 305. Let d(s) = y*j(s) - c(s). Suppose d(x) = 0. What is x?
-11, -1
Let l = 282897 - 848689/3. Determine u, given that 24 + l*u**2 - 26/3*u = 0.
4, 9
Let u(y) = -2*y**3 - 343*y**2 - 1533*y - 5007. Let i be u(-167). Let -58/15*v**i - 2/5*v**5 - 22/15*v**2 + 46/15*v**4 + 64/15*v - 8/5 = 0. Calculate v.
-1, 2/3, 1, 6
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