320*n + 1468 - 3570 + 60*n**2 = 0. What is n?
-3, 15
Let s(t) = -t**3 + t**2 - t + 5. Let g be s(0). Suppose -14 = -2*r - g*d, 2*r - 2*d - 10 = 4. Solve r*m + 2*m + 16*m**2 + m - 21*m**2 = 0 for m.
0, 2
What is m in 2458*m**3 - 714 + 42*m**2 - 5450*m**2 - 98*m**3 + 24980*m**4 + 14*m**5 - 25306*m**4 - 86 + 4160*m = 0?
2/7, 1, 2, 10
Let v = 35224/264855 - -6/17657. Let z(t) be the first derivative of -v*t**3 + 0*t + 15 + 6/5*t**2. Find w, given that z(w) = 0.
0, 6
Let l be 13/((102375/70)/25). Factor -2*c**4 + 14/3*c**3 + 4/3*c - 38/9*c**2 + 0 + l*c**5.
2*c*(c - 6)*(c - 1)**3/9
Determine p, given that 194*p + 2286*p + 272*p**2 - 4*p**3 - 8 + 50*p**2 + 4904 + 6*p**3 = 0.
-153, -4
Suppose -5*y - 18 = -78. Suppose 0 = -y*r + 14*r - 1594. Let 8*o + r*o + 245 + 19*o**3 - 4*o**3 + 215*o**2 = 0. Calculate o.
-7, -1/3
Suppose 4*l = -2*o + 40, -21*o + 5*l = -18*o - 93. Let a(m) be the first derivative of 1/3*m**3 - 3*m + m**2 - o. Factor a(g).
(g - 1)*(g + 3)
Let p be (225/20)/15 + 782/(-8). Let o = -94 - p. Factor -5*i**4 + 2*i**2 + 1308*i**o - 1313*i**3 - 2*i**2.
-5*i**3*(i + 1)
Factor -5/2*v + 75 - v**3 - 31/2*v**2.
-(v - 2)*(v + 15)*(2*v + 5)/2
Factor -2*b**4 + 1402*b - 726*b**2 - 218 - 2080*b**2 + 218 + 1406*b**3.
-2*b*(b - 701)*(b - 1)**2
Let k(a) = 2*a**4 + a**3 - a**2 + 2*a + 1. Let g(z) = -11*z**4 - 19*z**3 + 6*z**2 - 12*z - 6. Let i(w) = 5*g(w) + 30*k(w). Solve i(y) = 0.
0, 13
Find p, given that -2055/7*p - 342/7 - 1395/7*p**3 - 12/7*p**4 - 3096/7*p**2 = 0.
-114, -1, -1/4
Let h(y) be the second derivative of -y**8/2160 + 22*y**7/2835 - y**6/135 + 8*y**4/3 - 92*y. Let u(a) be the third derivative of h(a). Factor u(c).
-4*c*(c - 6)*(7*c - 2)/9
Suppose 11*f + 797 = 841. Let a(q) be the first derivative of -2 + f*q**2 + 0*q + 28/3*q**3. Factor a(u).
4*u*(7*u + 2)
Let u(n) = 168*n**4 - 7650*n**3 - 10380*n**2 - 3469*n + 11. Let q(k) = -57*k**4 + 2550*k**3 + 3460*k**2 + 1156*k - 4. Let a(v) = -11*q(v) - 4*u(v). Factor a(p).
-5*p*(p - 58)*(3*p + 2)**2
Let x(f) be the third derivative of -56/3*f**4 + 0*f + 7/30*f**6 - 182*f**2 + 0 - 2/21*f**7 + 64/3*f**3 + 26/5*f**5. Find b such that x(b) = 0.
-4, 2/5, 1, 4
Determine s, given that 3/2*s**2 - 330*s + 18150 = 0.
110
Solve -3344*k**2 + 589 + 1149*k + 699*k**3 + 776*k + 969*k**3 - 597 - 241*k = 0.
2/417, 1
Let k be ((-2)/(-5))/((-4)/(-5)). Let d = 268410 - 268405. Let 5/2*b**2 - 5/2*b**3 - 1/2*b**4 + k*b**d + 2*b - 2 = 0. What is b?
-2, -1, 1, 2
Let u(v) be the second derivative of -1/2*v**3 - 2 + 122*v + 1/4*v**4 - 18*v**2. Factor u(s).
3*(s - 4)*(s + 3)
Suppose -356*k + 2730 = -351*k. Let a be 6 - ((-3)/27)/((-13)/k). Factor -a*v + 4/3*v**3 - 8/3 + 8/3*v**2.
4*(v - 1)*(v + 1)*(v + 2)/3
Let g(l) = -l**3 + 6*l**2 - 2*l. Let h be g(0). Let v be 26/6 - 1/3. Factor -119*c**3 + h*c**4 - 2*c**5 + 4*c**v + 117*c**3.
-2*c**3*(c - 1)**2
Let i = 245738 - 245736. Solve 52/7 - 134/7*w + 88/7*w**i - 6/7*w**3 = 0.
2/3, 1, 13
Suppose 16*g + q - 55 = 11*g, -5*q + 55 = 3*g. Suppose -20031*m**2 + g*m + m**3 + m + 20043*m**2 = 0. What is m?
-11, -1, 0
Determine n so that -463*n**2 + 30*n**3 - 498*n**2 - 498*n**2 + 3*n**4 + 1486*n**2 = 0.
-9, -1, 0
Let f(g) be the second derivative of 5*g**2 - 1/6*g**3 - 26*g - 1/48*g**4 + 0 + 1/120*g**5. Let d(b) be the first derivative of f(b). Let d(c) = 0. Calculate c.
-1, 2
Suppose -5*i + 15 = -o - 1, -4*i + 4 = -3*o. Factor -2*w**2 + o*w**2 - 5*w**3 - 12*w**3 + 0*w**3.
-w**2*(17*w - 2)
Let h = 2/61065 + 366368/671715. Let -5/11*a + 1/11*a**2 + h = 0. What is a?
2, 3
Let u(a) = 52*a**3 - 1320*a**2 - 4556*a - 160. Let s(x) = -8*x**3 + 203*x**2 + 701*x + 25. Let t(j) = -32*s(j) - 5*u(j). Factor t(w).
-4*w*(w - 29)*(w + 3)
Find w such that 1128 - 21*w - 35*w - 2*w**2 + 118*w + 114*w = 0.
-6, 94
Let f(g) be the first derivative of -53*g - 2/13*g**3 - 5/13*g**2 + 44 - 1/78*g**4. Let h(k) be the first derivative of f(k). Factor h(l).
-2*(l + 1)*(l + 5)/13
Suppose 8740/3*f + 230/9*f**3 + 1444 + 13453/9*f**2 + 1/9*f**4 = 0. Calculate f.
-114, -1
Let w(y) be the first derivative of -2/15*y**6 + 24*y + 3 + 0*y**2 + 1/3*y**4 + 1/5*y**5 - 2/3*y**3. Let p(i) be the first derivative of w(i). Factor p(j).
-4*j*(j - 1)**2*(j + 1)
Let t = -2/9965 - -9997/159440. Let i(g) be the second derivative of -g**2 - 7/120*g**6 + 5/8*g**4 - 5/6*g**3 + t*g**5 - 9*g + 0. Find v, given that i(v) = 0.
-2, -2/7, 1, 2
Let z(q) be the second derivative of 1/8*q**4 - q**3 + 3*q**2 - 7*q + 6. Solve z(g) = 0 for g.
2
Factor -348*i**2 - 1/5*i**4 + 102/5*i**3 - 47096/5*i + 0.
-i*(i - 58)**2*(i + 14)/5
Let y(g) be the first derivative of -2*g**5/35 - 5*g**4/14 + 16*g**3/21 + 12*g**2/7 - 326. Factor y(v).
-2*v*(v - 2)*(v + 1)*(v + 6)/7
Suppose -4*f - x - 735 = 1060, x = -2*f - 899. Let m = f + 2261/5. Factor -3*h**3 - 54/5*h**2 + 18/5 - m*h.
-3*(h + 1)*(h + 3)*(5*h - 2)/5
Let u(n) be the first derivative of 0*n - 45 + 0*n**4 + 1/6*n**2 + 1/30*n**5 - 1/6*n**3. Suppose u(b) = 0. What is b?
-2, 0, 1
Let m(z) = -24*z**3 - 151*z**2 + 914*z - 1350. Let y(g) = 187*g**3 + 1209*g**2 - 7311*g + 10800. Let f(a) = -78*m(a) - 10*y(a). Factor f(v).
2*(v - 150)*(v - 3)**2
Let s(f) be the second derivative of -f**5/40 + 65*f**4/24 - 66*f**3 - 2268*f**2 - 723*f. Let s(h) = 0. What is h?
-7, 36
Let d(b) be the first derivative of -2*b**5/25 + 23*b**4/10 - 86*b**3/15 + 21*b**2/5 - 3131. Suppose d(s) = 0. Calculate s.
0, 1, 21
Let g(o) = -23*o**2 + 66*o + 26. Let i(h) = -2*h**2 + 6*h + 2. Let r(y) = -2*g(y) + 22*i(y). Factor r(p).
2*(p - 2)*(p + 2)
Let l be ((-15)/(-1350)*10 + 121/(-9))*768/(-40). Factor 1/4*q**2 + 16*q + l.
(q + 32)**2/4
Let r be 0*(-18 - 840/(-48)). Let o(z) be the third derivative of 14*z**2 + 1/20*z**4 + 0 + 1/6*z**3 + r*z + 1/300*z**5. Factor o(p).
(p + 1)*(p + 5)/5
Suppose -2*k + 4*a = -20, -3*a - 8 = -k + 3*k. Factor 32*n**2 + 19*n**4 - 37*n**k - 54*n**4 - 25*n**3 - 15*n**5.
-5*n**2*(n + 1)**2*(3*n + 1)
Let b(n) be the third derivative of n**8/112 + n**7/7 + 17*n**6/40 + 2*n**5/5 + 755*n**2. What is a in b(a) = 0?
-8, -1, 0
Let h = -114/23 - -1398/115. Determine i so that -86/5*i**3 - h*i**2 + 0*i + 0 + 2*i**4 = 0.
-2/5, 0, 9
Let c(m) be the second derivative of m**4/12 + 55*m**3/3 + 109*m**2/2 + 12280*m. Find f, given that c(f) = 0.
-109, -1
Let 157452 - 152522*c - 9227 + c**2 + 153292*c = 0. What is c?
-385
Let p be (12708/11296)/((-3)/(-4)). Factor 0 - p*t**5 + 0*t**2 - 39/2*t**4 + 0*t**3 + 0*t.
-3*t**4*(t + 13)/2
Determine u so that -10*u**5 + 910 + 1175*u**4 + 10 + 4580*u - 2235*u**3 - 1765*u**2 + 774 - 625*u**3 + 606 = 0.
-1, -1/2, 2, 115
Suppose 39 = -8*p + 71. Determine w so that 484*w**5 - 40*w**4 - 57*w**p - 128*w**3 - 20*w**2 - 473*w**5 = 0.
-1, -2/11, 0, 10
Let f(k) be the third derivative of -2*k**7/105 + 27*k**6/10 - 1678*k**5/15 + 240*k**4 + 6400*k**3/3 + 286*k**2. Determine q so that f(q) = 0.
-1, 2, 40
Let r be (-2)/8*25/375*-20. Determine d so that r*d**2 + 2/3*d + 0 = 0.
-2, 0
Suppose 0 = -11*d - d + 60. Solve 77*m**2 - 3*m - 12 + 19*m + 32*m**3 - 5*m**4 + 19*m**3 - 7*m**d = 0.
-2, -1, 2/7, 3
Let n(j) be the third derivative of -j**8/28 - 128*j**7/35 - 2077*j**6/40 - 5407*j**5/20 - 497*j**4 - 440*j**3 - 4732*j**2. Suppose n(w) = 0. Calculate w.
-55, -4, -1/2
Let h(j) be the third derivative of j**6/420 - 87*j**5/35 + 22707*j**4/28 + 4033*j**2. Factor h(r).
2*r*(r - 261)**2/7
Let i(b) = 3*b**3 - 14*b**2 + 43*b - 52. Let r(x) = 4*x**3 - 14*x**2 + 39*x - 51. Let m(f) = 3*i(f) - 2*r(f). Determine z, given that m(z) = 0.
2, 3, 9
Let c be (((-6)/(-4))/1)/((-40)/(-12)*(-45)/(-300)). Suppose 24*t**2 + 27/7*t**4 + 96/7*t**c + 144/7*t + 48/7 + 3/7*t**5 = 0. Calculate t.
-2, -1
Suppose 728*r = -3*a + 724*r + 24, -32 = -5*a - 4*r. Let d(y) be the first derivative of -2/5*y**5 - 8*y + 2*y**3 + y**4 + 18 - a*y**2. Factor d(u).
-2*(u - 2)**2*(u + 1)**2
Suppose -5*b - 60 = 2*k, 19*k - 8*b - 96 = 16*k. Suppose a + 0*a - 3 = f, 3 = -3*f. Solve -1/7*m**a + k - 5/7*m = 0.
-5, 0
Let z = -1123 - -1133. Solve -2/3*j**5 - 28/3*j**3 - 50/3 + 68/3*j**2 + z*j - 6*j**4 = 0.
-5, -1, 1
Let r(g) = 62 - 28*g - 16*g**3 - 15*g**3 + 43*g**3 - 13*g**3 + 5*g**2 - 14. Let s be r(2). Factor 4*n - 40 + 44/5*n**3 + 4/5*n**s + 132/5*n**2.
4*(n - 1)*(n + 2)*(n + 5)**2/5
Let g(b) be the first derivative of -486*b**6/7 - 87264*b**5/35 - 217081*b