-17/3*s**f - 1/3*s**3 - 5 - 31/3*s = 0. Calculate s.
-15, -1
Let h be 51/9 + (-1221)/333. Determine v so that h + 66/17*v - 4/17*v**2 = 0.
-1/2, 17
Let g = -39899/300 - -133. Let y(f) be the third derivative of -g*f**6 + 16*f**2 + 0*f**3 - 1/60*f**4 + 0*f + 0 + 1/75*f**5. Solve y(s) = 0 for s.
0, 1
Let f(h) be the first derivative of -h**5/15 + 25*h**4/6 + 89*h**3/3 + 218*h**2/3 + 220*h/3 - 594. Factor f(b).
-(b - 55)*(b + 1)*(b + 2)**2/3
What is d in -863 - 845 + 3441 + 3127 - 130*d**3 - 645*d**2 - 5*d**4 + 1620*d = 0?
-18, -9, -2, 3
Let c = 907233 - 907231. Factor 2*o**c + 2/11*o**3 + 64/11*o + 56/11.
2*(o + 2)**2*(o + 7)/11
Let o be 1*3 - (150 + -180). Suppose -o*n = 24*n. Factor 0 + 2/3*d**3 + 4/9*d**2 + 2/9*d**4 + n*d.
2*d**2*(d + 1)*(d + 2)/9
Let 2/3*p**3 - 36*p**2 - 464/3 - 152*p = 0. What is p?
-2, 58
Let w(m) be the first derivative of m**4/2 - 1906*m**3/3 + 1490. Determine y so that w(y) = 0.
0, 953
Let i = 443 + -5751/13. Let a = i + 41/39. Solve -1/3*n**3 - n - a*n**2 + 3 = 0 for n.
-3, 1
Let m(o) be the second derivative of -o**6/45 + 119*o**5/40 - 53*o**4/72 - 357*o**3/4 + 267*o**2/4 - 10230*o. What is x in m(x) = 0?
-3, 1/4, 3, 89
Let o = -211 + 210. Let k(f) = f**2 + 2*f + 1. Let s(h) = 8*h**2 + 7*h + 5. Let n(i) = o*s(i) + 5*k(i). Factor n(v).
-3*v*(v - 1)
Let d(v) be the second derivative of -v**6/75 + 26*v**5/75 - 29*v**4/9 + 532*v**3/45 - 49*v**2/5 - 4249*v. Determine u so that d(u) = 0.
1/3, 3, 7
Let i(o) = o**3 - 8*o**2 + 8*o - 2. Let z be i(7). Suppose 22*p - 13*p - 27 = 0. Let -a**z - 11*a**4 + 5*a**p + 10*a**4 - 4*a**3 - a**5 = 0. Calculate a.
-1, 0, 1/2
Let x = -1943820 - -13606804/7. Factor 961/7 - 1984/7*n + 1086/7*n**2 - x*n**3 + 1/7*n**4.
(n - 31)**2*(n - 1)**2/7
Let x = 50516/5 - 353512/35. Let 8/7*v**2 - x + 2*v - 2/7*v**3 = 0. Calculate v.
-2, 1, 5
Let z = -3481653/8 + 435207. Factor -3/2 - 9/2*u - z*u**4 - 39/8*u**2 - 9/4*u**3.
-3*(u + 1)**2*(u + 2)**2/8
Let b(x) be the second derivative of -x**8/3360 + x**7/420 + x**6/90 - 39*x**4/4 + 87*x. Let h(r) be the third derivative of b(r). Factor h(v).
-2*v*(v - 4)*(v + 1)
Let s = 1931039 + -21241367/11. Determine y so that 10/11*y**2 + 0 + 46/11*y**4 - 6/11*y**5 + 12/11*y - s*y**3 = 0.
-1/3, 0, 1, 6
Let f(v) = 2*v**2 + 58*v + 6. Let w(b) = 3. Let o(k) = -2*f(k) + 44*w(k). Let o(s) = 0. Calculate s.
-30, 1
Let b(n) = -n**3 + 24*n**2 - 3*n + 74. Suppose 17*y - 91 = 317. Let d be b(y). Find v such that 4/3*v**d + 0 - 8/3*v**5 - 4/3*v**4 - 4/3*v + 4*v**3 = 0.
-1, 0, 1/2, 1
Let i(k) be the third derivative of 0 + 5*k**2 - 1/100*k**5 - 1/5*k**4 + k + 0*k**3. Factor i(j).
-3*j*(j + 8)/5
Let m(k) = k**2 + 4*k - 43. Let r be m(-9). Let 15*l**2 - 75 + 6*l**r - 30*l + 5*l**2 - 21*l**2 - 40*l = 0. What is l?
-1, 15
Let h(g) be the first derivative of g**7/1890 - 22*g**6/405 + 41*g**5/24 + 75*g**4/8 - g**3 - 8*g + 75. Let d(w) be the third derivative of h(w). Factor d(s).
(s + 1)*(2*s - 45)**2/9
Let q(i) = -i**3 - i**2. Let n(x) = 3 + 20 + 5*x**3 + 16*x**2 + 5 + 5*x**2 - 52*x. Let w(c) = -n(c) - q(c). Factor w(a).
-4*(a - 1)**2*(a + 7)
Suppose 387*r = 384*r + 6. Suppose 36980 + r*f**2 + 860*f - 14*f**2 + 26*f**2 - 9*f**2 = 0. What is f?
-86
Let a(j) = 4*j**2 + 817*j + 15. Let b(c) = 36*c**2 + 7356*c + 132. Let w(z) = -44*a(z) + 5*b(z). Solve w(v) = 0.
-208, 0
Suppose -7*j = -61 - 527. Factor j - 196 + 72 - 20*u + 10*u**2 + 5*u**3.
5*(u - 2)*(u + 2)**2
Let l be 35/2*(-828)/(-690). Suppose -l = 84*z - 87*z - 3*a, 5*z - 4*a + 10 = 0. Solve 1/12*n - 1/12*n**3 + 0*n**z + 0 = 0.
-1, 0, 1
Let z(s) = -7*s**5 + 6*s**2 + 11*s**4 - 4 + 2*s**5 - 2. Let i(g) = -10*g**5 + 21*g**4 + 11*g**2 - 11. Let r(u) = -6*i(u) + 11*z(u). Factor r(k).
5*k**4*(k - 1)
Let r = 29601 - 118399/4. Find y such that -5/4*y + 15/2*y**2 - 15/2 + r*y**3 = 0.
-6, -1, 1
Let i = 10781 - 10778. Find x, given that 36/7*x**4 - 6/7*x**5 - 54/7*x + 96/7*x**2 - 12*x**i + 12/7 = 0.
1, 2
Let d(k) = 112*k + 1. Let x(u) = -5*u**2 - 788*u - 2894. Let b(n) = -6*d(n) + x(n). Factor b(j).
-5*(j + 2)*(j + 290)
Let j(h) be the third derivative of 1/200*h**6 - 11/100*h**5 - 2*h**2 - 117 - 3/10*h**4 + 0*h + 0*h**3. Factor j(g).
3*g*(g - 12)*(g + 1)/5
Let u(y) be the first derivative of 74 + 0*y + 36501/14*y**2 + 207/28*y**4 - 1587/7*y**3 - 3/35*y**5. Factor u(g).
-3*g*(g - 23)**3/7
Factor 1331*j**5 - 1338*j - 1200*j**2 - 55 + 15 - 59741*j**3 - 13913*j**2 - 23595*j**4.
(j - 20)*(j + 2)*(11*j + 1)**3
Suppose 3*j = 10*j - 35. Let q = j + 2. Factor -2*w + q*w - w**2 - 6*w.
-w*(w + 1)
Find l such that -60*l**2 - 195 + 5*l**5 + 5*l**4 - 181 - 40*l**3 + 376 = 0.
-2, 0, 3
Let v = 6823/9124 + 5/2281. Let n(f) be the first derivative of 0*f + 1/8*f**4 - v*f**2 + 1/3*f**3 - 33. What is m in n(m) = 0?
-3, 0, 1
Suppose -51*j + 127 - 194 = -169. Solve -1/3*v**2 - 8/3 - j*v = 0 for v.
-4, -2
Let s be 19 + 558/(-30) - 16/(-10). Solve 1/5*p**4 - 1/5*p**s - 1/5*p + 1/5*p**3 + 0 = 0 for p.
-1, 0, 1
Suppose z + 2*z = -5*o + 5, -2*o = z - 1. Let f be (-1 - o) + 3 - (-4 + 3). Determine i, given that -3*i - 75/4*i**4 - 9*i**f + 0 + 21/4*i**3 + 12*i**2 = 0.
-2, -1, 0, 1/4, 2/3
Let h = 289 + -1. Let n = h - 285. Factor -12/5*f**2 + 0*f - 4/5*f**n + 16/5.
-4*(f - 1)*(f + 2)**2/5
Let z(h) be the second derivative of -h**5/70 - 33*h**4/14 - 800*h**3/7 + 2500*h**2/7 + 2*h + 67. Let z(s) = 0. Calculate s.
-50, 1
Let d(a) = -112*a - 11532. Let x be d(-103). Let g(t) be the second derivative of 1/12*t**x + t**3 + 9/2*t**2 - 32*t + 0. Find m such that g(m) = 0.
-3
Let z be (-5)/(-7)*(-6)/(-15). Let p(k) = 11*k**2 + 1878*k + 22558. Let r be p(-13). Let 0*w + 32/7*w**5 + 0*w**2 + z*w**r - 16/7*w**4 + 0 = 0. Calculate w.
0, 1/4
Determine x, given that 64/7*x**3 + 8*x**4 + 0 - 4/7*x**5 - 60/7*x - 8*x**2 = 0.
-1, 0, 1, 15
Factor 0*k - 175*k**3 - 10*k + 20184*k**2 - 20269*k**2.
-5*k*(5*k + 1)*(7*k + 2)
Let v = -435 + 732. Factor -75 + v*o**2 - 13 - 92*o - 301*o**2.
-4*(o + 1)*(o + 22)
Let q(r) = 47*r**2 - 525*r + 46. Let a(l) = 46*l**2 - 542*l + 48. Let z(i) = 13*a(i) - 14*q(i). Factor z(x).
-4*(x - 5)*(15*x - 1)
Let b = 10471/3 + -3490. Let k(s) be the first derivative of 4/3*s - 2/3*s**3 + b*s**2 - 1. Factor k(z).
-2*(z - 1)*(3*z + 2)/3
Let z be 8694/19320 + 4/((-40)/(-3)). Find i, given that 3 + 9/4*i - z*i**2 = 0.
-1, 4
Let x be (87/(-6) + 1)/((-5 - 6175/(-1216))*-6). Factor 0 - x*g**4 - 3/5*g**2 - 9*g**3 + 0*g + 192/5*g**5.
3*g**2*(g - 1)*(8*g + 1)**2/5
Let q(w) be the first derivative of w**5/15 + 13*w**4/6 + 16*w**3/3 + 3021. Solve q(p) = 0 for p.
-24, -2, 0
Let f(s) = -s**2 + 8*s - 14. Let j be f(4). What is y in 735*y + 3*y**3 - 149*y + 151*y**2 + 386*y - 43*y**j = 0?
-18, 0
Let n be (1056/(-4))/24 + (8 - -5). Suppose 2*p + 3/2*p**2 - n = 0. Calculate p.
-2, 2/3
What is j in -1/7*j**2 + 962/7*j + 963/7 = 0?
-1, 963
Let g be (-30)/(-3) - (1806 - 18). Let p = g - -19560/11. Factor 0 + 12/11*f**2 + p*f**3 + 16/11*f.
2*f*(f + 2)*(f + 4)/11
Let t(b) be the second derivative of -b**5/150 - b**4/15 - 4*b**3/15 - 14*b**2 + 67*b. Let k(z) be the first derivative of t(z). Factor k(c).
-2*(c + 2)**2/5
Let d(f) = 25*f**5 + 530*f**4 + 2285*f**3 - 5388*f**2 + 3072*f - 528. Let h(a) = a**3 - a**2 + a. Let i(x) = -5*d(x) - 20*h(x). Let i(n) = 0. Calculate n.
-12, -11, 2/5, 1
Suppose 13895*l + 4*r + 12 = 13884*l, 0 = 4*l + 2*r + 12. Suppose 0*i + 0*i**2 - 6/5*i**3 + 0 + 1/10*i**l = 0. What is i?
0, 12
Let n(l) = -3*l + 1. Let i(a) = -a**2 - 980*a - 1103. Let t(b) = 4*i(b) + 124*n(b). Determine s so that t(s) = 0.
-1072, -1
Let l be 1 + 1*(16 - 27) + 464/40. Let m(c) = -c - 2. Let h be m(-5). Factor -l*v**2 + 0 + 4/5*v + 4/5*v**h.
4*v*(v - 1)**2/5
Let l be (((-2)/(-6))/(2/4))/(268/1608). Find w such that 9/7*w**3 - 12/7*w + 0*w**2 - 3/7*w**l + 0 = 0.
-1, 0, 2
Let 668/5 - 2/5*a**2 - 666/5*a = 0. Calculate a.
-334, 1
Factor 36*p**3 + p**4 + 745*p + 875*p + 2834 - 809 + 414*p**2.
(p + 3)**2*(p + 15)**2
Let f(k) be the second derivative of -5*k**4/12 + 1550*k**3/3 - 3759*k. Factor f(g).
-5*g*(g - 620)
Let f(c) be the second derivative of -c**4/36 - 29*c**3/18 - 35*c**2 + 101*c - 11. Factor f(m).
-(m + 14)*(m + 15)/3
Suppose -g + 3*o = -1, 3*g + 3*o = 5*o + 3. Suppose -j - g = 2*f - 5, 4*f - 8 = -4*j. Determine h, given that -15*h**2 - f*h - 2*h - 29*h + 12 + 6*h**2 = 0.
-4, 1/3
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