 1/8*w**4 - 1/10*w**5 + 1/2*w**3 + 5/4*w**2. Find s such that o(s) = 0.
-1, 2
Suppose 5*x - n - 19 = 0, -n = x - 3 + 4. Solve 8 + 45*s**2 - 69*s**3 + 19*s**2 + 24*s**4 - 4*s**5 + 13*s**x - 36*s = 0.
1, 2
Let j(t) = 4*t**3 + 178*t**2 + 2540*t - 16810. Let x(b) = -9*b**3 - 368*b**2 - 5079*b + 33620. Let g(f) = -5*j(f) - 2*x(f). Let g(q) = 0. Calculate q.
-41, 5
Let u(i) be the first derivative of -i**6/120 - i**5/4 + 17*i**4/12 + 70*i**2 - 118. Let h(z) be the second derivative of u(z). Find o such that h(o) = 0.
-17, 0, 2
Suppose 142 = 20*c - 258. Suppose -2*r + 7*r - 25 = 0, 0 = 3*j - r - 1. Let 2*l**j - c*l + 0 + 52*l + 128 = 0. What is l?
-8
Let s(j) be the second derivative of -20*j**2 + 0 - 15/2*j**3 - 5/12*j**4 - 72*j. Factor s(d).
-5*(d + 1)*(d + 8)
Let x = 9849 - 9847. Let v(o) be the first derivative of -2/21*o**3 + 1/7*o**x + 4/7*o - 6. Find u such that v(u) = 0.
-1, 2
Let p = -346320 - -2424260/7. What is q in p*q + 2/7*q**2 + 0 = 0?
-10, 0
Let d(c) be the second derivative of -c**6/285 + 6*c**5/95 - 5*c**4/57 - 4*c**3/19 + 11*c**2/19 + 880*c. Suppose d(x) = 0. Calculate x.
-1, 1, 11
Suppose 39*u = -3*u + 672. Suppose 481*h + u = 489*h. Factor 1/6*y**3 - 1/6*y**h + 0 - 1/3*y.
y*(y - 2)*(y + 1)/6
Let p(a) be the third derivative of a**6/60 - 91*a**5/30 + 705*a**4/4 - 675*a**3 - 632*a**2. Factor p(d).
2*(d - 45)**2*(d - 1)
Let p be ((-3)/(108/(-45)))/((-2)/8). Let x be (-2)/p - 5690/(-75)*3. Find d, given that d**3 - x*d**2 + 6 + 8*d + 233*d**2 - 2 = 0.
-2, -1
Let d(y) be the second derivative of -y**4/36 + 991*y**3/9 - 982081*y**2/6 - 31*y + 31. Factor d(v).
-(v - 991)**2/3
Let j(t) be the third derivative of 9*t**4/8 - 5*t**3 - 4*t**2 + 3*t. Let u(r) = -r**2 + 27*r - 30. Let s(p) = -4*j(p) + 3*u(p). Suppose s(w) = 0. What is w?
-10, 1
Suppose 107*j = -22*j + 440 + 334. Let b(z) be the second derivative of -18*z + 6*z**2 - 3/4*z**4 - 2*z**3 + 1/10*z**j + 0 + 3/10*z**5. Factor b(i).
3*(i - 1)**2*(i + 2)**2
Factor -2331810*p**3 + 3*p**2 - 3*p**4 + 2331810*p**3.
-3*p**2*(p - 1)*(p + 1)
Let f be ((-396)/72)/((-176)/48). Factor 0*z**3 + 0 + 1/4*z**4 - 7/4*z**2 - f*z.
z*(z - 3)*(z + 1)*(z + 2)/4
Let o(v) = -4*v**4 - 32*v**3 - 311*v**2 - 449*v + 7. Let y(r) = r**4 - r**3 - r**2 - r - 1. Let b(z) = -o(z) - 7*y(z). Let b(x) = 0. Calculate x.
-4, -2, 0, 19
Suppose 0 = 5*n - 3*k + 3610, 5*n = -3*k - 1418 - 2162. Let h = -708 - n. Factor -20*f**2 + 0 + 7/4*f**5 + 24*f**3 + 4*f - h*f**4.
f*(f - 2)**3*(7*f - 2)/4
Let u(o) = 18*o**2 + 26*o - 26. Let k be u(1). Let g(a) be the first derivative of -k - 6/5*a**2 - 18/5*a - 2/15*a**3. Suppose g(y) = 0. What is y?
-3
Let -1/4*s**3 + 27/2 + 1/4*s - 27/2*s**2 = 0. What is s?
-54, -1, 1
Let c(u) be the third derivative of -u**5/390 + 114*u**4/13 - 155952*u**3/13 - 940*u**2. Let c(d) = 0. What is d?
684
Suppose 1501*g**3 + 18468*g - 86*g**3 + 8208*g**2 + 55*g**4 + 113*g**3 + 73*g**4 + 11664 + 4*g**5 = 0. What is g?
-9, -4, -1
Let k(t) be the second derivative of -t**4/12 + 2*t**3 + 14*t**2 + 5*t + 172. Determine s, given that k(s) = 0.
-2, 14
Let g(w) be the first derivative of -w**3/3 + 94*w**2 - 736*w + 5573. Solve g(x) = 0.
4, 184
Suppose 5*v - 180 = -r, 14*r - 49 = -2*v + 9*r. Let n(z) be the first derivative of -2/9*z + 0*z**2 - v - 1/9*z**4 + 2/9*z**3. Find a such that n(a) = 0.
-1/2, 1
Let q(o) = -o**3 + 13*o**2 - 35*o + 9. Let z be q(9). Suppose -121 = -z*g + 41. Factor g - 3*b - 7 + b**2 + 6*b.
(b + 1)*(b + 2)
Let q be 99/(25750/3000 - (4/3 - -2)). What is f in 0 - q*f**2 - 4/7*f**3 - 128/7*f = 0?
-32, -1, 0
Let y = -2/9699 + 436463/38796. Factor 3/4*p**2 + 3/4*p**3 - 51/4*p + y.
3*(p - 3)*(p - 1)*(p + 5)/4
Let k(n) be the third derivative of n**5/150 + 17*n**4/30 + 29*n**3/3 - n**2 + 595*n. Suppose k(y) = 0. What is y?
-29, -5
Let c(j) be the second derivative of j**4/12 + 5*j**3/3 + 13*j**2/2 + 50*j. Let m(v) = -6*v**2 - 51*v - 67. Let q(h) = 11*c(h) + 2*m(h). Factor q(s).
-(s - 9)*(s + 1)
Let k(o) = -o**2 + 4*o + 47. Let l be k(-5). Factor 5*x**2 - 120 - 166*x - 5*x**l - 4*x**2 + 42*x.
-4*(x + 1)*(x + 30)
Let z(b) = -b**2 + 14*b - 23. Let y be z(13). Let l be (4/y)/((-12)/60). Determine v, given that -155*v**4 + 40*v**3 - 175*v**5 + 255*v - 255*v + 20*v**l = 0.
-1, -2/7, 0, 2/5
Let d(m) be the third derivative of m**7/1260 + 29*m**6/120 + 308*m**5/15 - 968*m**4/9 + 1102*m**2. Factor d(q).
q*(q - 2)*(q + 88)**2/6
Suppose 16*a = 38*a - 88. Factor 5*x**5 + 2*x**2 + 52*x - 92*x + 15*x**a - 10*x**3 - 62*x**2.
5*x*(x - 2)*(x + 1)*(x + 2)**2
Let g(a) be the third derivative of -212*a**2 + 0*a - 9*a**3 + 0 - 1/8*a**6 + 1/70*a**7 + 1/20*a**5 + 21/8*a**4. Factor g(u).
3*(u - 3)**2*(u - 1)*(u + 2)
Let x be 4*5/(-2) + (-5415)/(-456). Factor -19/4*c - 7/8*c**2 - x.
-(c + 5)*(7*c + 3)/8
Let w(t) be the first derivative of 3*t**4/28 + 11*t**3/7 + 36*t**2/7 - 108*t/7 - 111. Factor w(g).
3*(g - 1)*(g + 6)**2/7
Solve 2090 - 2216 + 25*t**2 - t**3 - 11*t**2 - 31*t + 0*t**3 = 0.
-2, 7, 9
Suppose 708*x**4 + 9316*x**5 + 9314*x**5 + 1404*x**3 + 700*x**2 - 18626*x**5 = 0. Calculate x.
-175, -1, 0
Find f, given that -2*f**3 + 32*f**2 - 774*f + 392*f + 324*f + 28*f**2 = 0.
0, 1, 29
Let b(m) be the second derivative of m**5/4 + 25*m**4/2 + 95*m**3/2 + 70*m**2 - m + 703. Suppose b(u) = 0. What is u?
-28, -1
Let u(a) = 49*a - 962. Let g be u(20). Factor 9/2*q**4 + 24*q**2 + 0 + 0*q - g*q**3 - 3/8*q**5.
-3*q**2*(q - 4)**3/8
Let x(b) be the second derivative of b**4/60 - 254*b**3/15 + 506*b**2/5 - 5721*b. Determine i, given that x(i) = 0.
2, 506
Let v(q) be the third derivative of -7/3*q**4 + 106*q**2 + 0 + 2*q - 16*q**3 - 1/30*q**6 + 3/5*q**5. Factor v(f).
-4*(f - 6)*(f - 4)*(f + 1)
Factor 8408629*o**3 - 10130*o**4 - o**5 - 5307706459742*o - 2133424226352586 - 20778362*o**3 - o**5 - 8153647*o**3 - 20790183940*o**2 - 5222521705868*o.
-2*(o + 1013)**5
Let z be (872/(-28) + 2)*(-127)/(-4). Let y = 927 + z. Determine i, given that 2/7*i**2 + 10/7*i + y = 0.
-3, -2
Let c be (-518)/3360*-26 + -4. Let w(t) be the third derivative of 0*t + 1/18*t**4 + 9*t**2 + 0*t**3 + 1/30*t**5 + 0 + 1/1260*t**7 + c*t**6. Factor w(y).
y*(y + 2)**3/6
Let -3*l**5 - 9058656*l**3 - 1320 - l**5 - 3808*l**2 - 248*l**4 - 3764*l + 9057048*l**3 = 0. Calculate l.
-55, -3, -2, -1
Let l(r) = 10*r**3 - 9*r**2 - 7*r - 5. Let d(j) = 9*j**3 - 9*j**2 - 6*j - 4. Let g be (-14)/(-105) + (-232)/(-60). Let n(w) = g*l(w) - 5*d(w). Factor n(p).
-p*(p - 2)*(5*p + 1)
Let f(a) be the second derivative of 685/12*a**4 + 1/6*a**6 + 1125*a**2 + 1025/2*a**3 + 210*a + 0 - 27/4*a**5. Factor f(q).
5*(q - 15)**2*(q + 1)*(q + 2)
Let a(f) be the first derivative of -5*f**4/4 + 41*f**3/3 - 83*f**2/2 + 15*f - 6685. Factor a(u).
-(u - 5)*(u - 3)*(5*u - 1)
Let d(g) = -3*g**4 - g**3 + g. Let z(n) = -8*n**4 + 28*n**3 + 756*n**2 + 4106*n + 6480. Let v(k) = 2*d(k) - z(k). Factor v(u).
2*(u - 30)*(u + 3)*(u + 6)**2
Let k(s) be the second derivative of 2 - 49/5*s**2 - 71*s - 7/15*s**3 - 1/120*s**4. Determine r, given that k(r) = 0.
-14
Determine f, given that -1/2*f**2 + 144 + 34*f = 0.
-4, 72
Let j = 233 - 230. Find v, given that 5 - 8 - 5 + 2*v + j*v**2 + 8*v = 0.
-4, 2/3
Let a(n) = 17*n**3 - 1045*n**2 - 2101*n - 1063. Let q(x) = 15*x**3 - 1045*x**2 - 2100*x - 1061. Let i(s) = 7*a(s) - 8*q(s). Let i(m) = 0. Calculate m.
-1, 1047
Let f be -11 + (488/6954)/(2/2532*8). Factor -2/19*a**3 + 2/19*a**4 + 0 + f*a - 2/19*a**2.
2*a*(a - 1)**2*(a + 1)/19
Let v = -729467 - -2917869/4. Factor o + 0 + v*o**2.
o*(o + 4)/4
Suppose -1700*r**2 + 110*r**3 + 13225 + 11*r**3 - 5*r**4 + 89*r**3 - 7029*r - 3325*r - 1376*r = 0. What is r?
-5, 1, 23
Let q = 2551/5 - 35709/70. Let x(k) be the third derivative of 0*k**4 + 0*k**6 + 1/70*k**5 - 1/490*k**7 - 11*k**2 + 0*k + 0 - q*k**3. Factor x(s).
-3*(s - 1)**2*(s + 1)**2/7
Let m(f) be the third derivative of -10/3*f**3 + 0*f + 1/4*f**5 - 5/6*f**4 + 1/6*f**6 + 1/42*f**7 + 0 - 215*f**2. Suppose m(c) = 0. What is c?
-2, -1, 1
Let c(y) be the second derivative of -23*y**5/80 + 61*y**4/16 + y**3/3 + 383*y - 1. Solve c(g) = 0 for g.
-1/23, 0, 8
Let d = 32 - -33. Let f = d + -61. Solve 48*g**3 + 1819*g**f + 9*g**2 - 1840*g**4 - 48*g + 12 + 0 = 0 for g.
-1, 2/7, 1, 2
Let w = 6725/2 - 3241. Let k(a) be the second derivative of 27/2*a**4 + w*a**2 + 9/5*a**5 + 0 + 54*a**3 + 1/1