 a. What is m in i*m**3 + 24/7*m**2 + 0 + 8/7*m - 10/7*m**4 = 0?
-1, -2/5, 0, 2
Let n = -61970 + 61972. Suppose -484/3 - 4/3*x**n + 88/3*x = 0. What is x?
11
Let a(d) be the third derivative of -d**6/60 - 13*d**5/90 + 23*d**4/9 + 32*d**3/9 + 988*d**2. Let a(u) = 0. Calculate u.
-8, -1/3, 4
Let y = -41936 - -41936. Find k, given that 8/13*k - 2/13*k**3 + 2/13*k**4 - 8/13*k**2 + y = 0.
-2, 0, 1, 2
Let l(a) = -a**3 + 4*a**2 - 6*a + 12. Suppose -4*u + 13 = 3*j, 0 = -3*u + 5*u - 2. Let h be l(j). Factor 0*s - 1/6*s**5 + 0 - 1/6*s**2 + 1/6*s**4 + 1/6*s**h.
-s**2*(s - 1)**2*(s + 1)/6
Suppose 0 = -15*l - 2*l + 96 + 193. Let j(r) be the first derivative of -16/11*r + 1/22*r**4 - 6/11*r**2 - l + 2/11*r**3. Factor j(x).
2*(x - 2)*(x + 1)*(x + 4)/11
Factor 174 - 263 + 44*l**2 - 231*l + 10*l**2 - 3*l**3 + 89.
-3*l*(l - 11)*(l - 7)
Let l(q) be the first derivative of -1/6*q**3 + 0*q + 2/5*q**5 + 113 + 0*q**2 + 3/8*q**4. Factor l(j).
j**2*(j + 1)*(4*j - 1)/2
Suppose 4*k = 8, -3*k + 238 = 3*l - 236. Let r be ((-3)/(-6))/(1/418). Factor 69*z**3 - 68*z - 8 - r*z**3 - 46*z**4 + 2*z**4 - l*z**2.
-4*(z + 1)**3*(11*z + 2)
Let w(g) = -g**3 - g**2 + 5*g. Let t be w(-3). Let f be t*((-32)/(-12) + -2). Factor 18/5*p**3 - 4/5 + f*p + 32/5*p**2.
2*(p + 1)**2*(9*p - 2)/5
Let w be ((-413)/(-14) - 7)*2. Let -24*r**2 + 21*r - 17*r + w - 4*r**3 + 75 = 0. Calculate r.
-5, -3, 2
Let l be (177/(-472)*-8)/(2/2 - 0). Let v(y) be the first derivative of 0*y - 1/5*y**2 + 20 - 3/10*y**4 - 2/5*y**l - 2/25*y**5. Factor v(w).
-2*w*(w + 1)**3/5
Let h be (-2387671)/(-1239) + (-15)/9. Let a = h + -1924. Solve -2/7*i**2 - 12/7*i - a = 0 for i.
-5, -1
Factor -74350 - 2250*y - 19*y**2 - 198330 + 14*y**2 + 19555.
-5*(y + 225)**2
Let m(s) be the first derivative of 2*s**3/33 - 56*s**2 - 1234*s/11 - 1665. Factor m(t).
2*(t - 617)*(t + 1)/11
Let a be 6/21 + (-96)/(-7). Suppose -9*w + 13 + a = 0. Factor 483*c**2 - 493*c**2 - 3*c - c - 6*c**w.
-2*c*(c + 1)*(3*c + 2)
Let v be 1 - 1 - (1815/(-660) + (-9)/(-4)). Find r such that -14*r + 3/2*r**3 - 17/2*r**2 - 6 + v*r**5 + 5/2*r**4 = 0.
-3, -2, -1, 2
Let r(b) be the second derivative of -29*b**5/40 + 49*b**4/8 + 41*b**3/3 - 3*b**2 + 8431*b. Factor r(y).
-(y - 6)*(y + 1)*(29*y - 2)/2
Let g(q) be the third derivative of q**7/42 + 13*q**6/24 - 4*q**5/3 - 35*q**4/6 - 3915*q**2. Suppose g(b) = 0. Calculate b.
-14, -1, 0, 2
Let r = 5182 - 5180. Let q(j) be the third derivative of 0*j - 23*j**r + 27/20*j**5 + 1/6*j**3 + 0 + 3/4*j**4. Suppose q(w) = 0. What is w?
-1/9
Let u be ((-255)/(-20) - -2)*-4. Let s = u - -62. Factor -9*i**s + 2*i**2 + 3*i**4 + 0*i**4 + 4*i**2.
3*i**2*(i - 2)*(i - 1)
Determine a so that -46/3*a**2 + 7*a - 22/3*a**3 + 1/3*a**5 + 1/3*a**4 + 15 = 0.
-3, -1, 1, 5
Let k(n) be the first derivative of n**6/105 + n**5/14 + 4*n**4/21 + 4*n**3/21 - 80*n + 79. Let r(o) be the first derivative of k(o). Factor r(q).
2*q*(q + 1)*(q + 2)**2/7
Let o(b) be the third derivative of -b**5/15 + 53*b**4 + 3157*b**2. Let o(w) = 0. Calculate w.
0, 318
Let c(m) = 2*m**4 + 2*m**3 - m**2 + 2*m - 1. Let k(o) = -11*o**4 - 10*o**3 + 33*o**2 - 58*o + 5. Let z(q) = 5*c(q) + k(q). Find b, given that z(b) = 0.
-6, 0, 2, 4
Let f be (-1)/3 + 39/9 + 1. Suppose -37 = -2*n + z, 2*z - 3*z = f*n - 75. Factor 38*a**3 - n*a**3 - 9*a**2 - 19*a**3.
3*a**2*(a - 3)
Let h(v) be the first derivative of -2*v**3/9 - 454*v**2 - 309174*v + 1002. Solve h(j) = 0 for j.
-681
Let l(y) be the second derivative of 3 - 1/8*y**4 + 9*y + 3/2*y**2 - 1/4*y**3. Find q, given that l(q) = 0.
-2, 1
Factor 5/6*t**4 + 119790 + 6105/2*t**2 - 515/6*t**3 - 81675/2*t.
5*(t - 33)**3*(t - 4)/6
Suppose -698*p**3 - 126*p**2 - 42*p**4 + 40*p + 948*p**3 - 82*p**2 = 0. Calculate p.
0, 2/7, 2/3, 5
Let k = 3432 - 823679/240. Let u(p) be the third derivative of 0 - 1/6*p**3 - 5/48*p**4 + 21*p**2 + 0*p - k*p**6 - 1/30*p**5. Let u(i) = 0. What is i?
-2, -1
Suppose g - 2704 = -180. Suppose -2510 = 7*d - g. Determine r, given that 0 + 6/5*r - 9/5*r**d + 0*r**3 + 3/5*r**4 = 0.
-2, 0, 1
Let m be 392/16 - 26 - (-94)/20. Factor 0 - m*b**2 + 14/5*b + 2/5*b**3.
2*b*(b - 7)*(b - 1)/5
Find n such that -2560/7*n**2 + 0 + 4100/7*n - 1416/7*n**3 - 128/7*n**4 + 4/7*n**5 = 0.
-5, 0, 1, 41
Let m = -6672 - -6674. Let u(b) be the second derivative of 0 - 1/12*b**4 - m*b**2 + 2/3*b**3 - 6*b. Factor u(k).
-(k - 2)**2
Let f be 2/(-19) + (-86232)/(-456). Let p be ((-5)/2)/((-210)/f). Factor p*i**3 + 5/4*i**4 + 0 + 1/2*i + 1/4*i**5 + 7/4*i**2.
i*(i + 1)**3*(i + 2)/4
Suppose 30*a + 44 = 32*a + f, 0 = 4*a - 5*f - 102. Let y(t) be the third derivative of 1/5*t**5 + 0 + 8/3*t**3 - 13/6*t**4 + a*t**2 + 0*t. Solve y(s) = 0.
1/3, 4
Let f = 264 + -225. Suppose -f*t**4 + 1274*t**2 - 1247*t**2 + 10*t**5 + 5*t**5 - 27*t**3 = 0. Calculate t.
-1, 0, 3/5, 3
Let y = -35311 + 105934/3. Let q(x) be the third derivative of 2*x**3 + 0 + 6*x**2 + 0*x + 1/135*x**6 - 4/45*x**5 - y*x**4 + 2/945*x**7. Solve q(p) = 0 for p.
-3, 1, 3
Let f(d) be the first derivative of 178 - 40*d**3 - 125*d - 5/2*d**4 + d**5 + 125*d**2. What is h in f(h) = 0?
-5, 1, 5
Let n(w) be the first derivative of 2*w**3/9 - 2320*w**2/3 + 2691200*w/3 - 2214. Determine i so that n(i) = 0.
1160
Suppose 9*l - 1 = 35. Factor 7*r**4 + 27*r**3 - 14*r**l - 6*r**2 - 4*r**3.
-r**2*(r - 3)*(7*r - 2)
Let k be ((-3120)/57330)/(2/(-7)). Let f(j) be the first derivative of -25 - 4/7*j**2 - k*j**3 - 4/7*j. Factor f(u).
-4*(u + 1)**2/7
Let r be 42*472/11151*27. Find o, given that 312/7 - r*o - 6/7*o**3 + 102/7*o**2 = 0.
2, 13
Let h(p) be the third derivative of p**5/12 - 455*p**4/4 + 2720*p**3/3 + 61*p**2 + p - 10. Find i, given that h(i) = 0.
2, 544
Let u(g) be the first derivative of -g**3/21 - g**2 - 45*g/7 - 2567. Determine h so that u(h) = 0.
-9, -5
Suppose -9*g + 2*g + 11*g = 0. Let w(f) be the third derivative of -1/8*f**4 + 12*f**2 - 1/20*f**5 + 0*f + g*f**3 + 0. What is p in w(p) = 0?
-1, 0
Let v(d) = 7*d - 121. Let i be v(17). Let r(z) = 6*z**3 + 14*z**2 + 14*z - 4. Let x(w) = -w**3 + w**2 + w + 2. Let l(q) = i*x(q) - r(q). Factor l(m).
-4*m*(m + 2)**2
Let q(y) be the first derivative of 137 - 1/6*y**3 - 5/2*y + 3/2*y**2. Determine b, given that q(b) = 0.
1, 5
Suppose 0 = 125*o - 120*o - 25. Suppose -26*h + 21*h + 30 = -o*p, 3*h - 5*p - 26 = 0. Factor 1/3*u - 1/2*u**h + 1/6*u**3 + 0.
u*(u - 2)*(u - 1)/6
Let 70 - 341/4*y - 1/4*y**3 + 31/2*y**2 = 0. What is y?
1, 5, 56
Factor 830304 + 1651683/2*s**2 + 2229*s**3 - 1658376*s + 3/2*s**4.
3*(s - 1)**2*(s + 744)**2/2
Let l(n) be the first derivative of -n**3 - 1/8*n**4 - 3*n**2 - 37*n - 6. Let v(a) be the first derivative of l(a). Suppose v(b) = 0. Calculate b.
-2
Let b be (361/57)/(2/12). Let w = b - 42. Let z(v) = -6*v**2 + 6. Let d(f) = 7*f**2 - f - 6. Let u(t) = w*d(t) - 5*z(t). Solve u(g) = 0.
-3, 1
Factor 1684*h - 368*h**2 + 43*h**3 - 1760*h - 215*h**4 - 235*h**3 - 100*h**4 - 399*h**3.
-h*(3*h + 2)**2*(35*h + 19)
Let b(p) be the second derivative of 1/21*p**7 + 2/3*p**3 + 0*p**2 - 13/45*p**6 + 31*p - 1 - 29/30*p**5 - 7/18*p**4. Let b(x) = 0. Calculate x.
-1, 0, 1/3, 6
Find y, given that 34*y - 2/5*y**2 + 0 = 0.
0, 85
Suppose -4*a = 57*a - 70516. Suppose -a*t + 1144*t + 24 = 0. Find w such that -1/2*w - 5/3 + 1/6*w**t = 0.
-2, 5
Let g(p) be the second derivative of -p**4/18 - 32*p**3/9 - 31*p**2/3 - 7*p. Factor g(v).
-2*(v + 1)*(v + 31)/3
Let s(c) be the third derivative of -62*c**2 + 3 - 3/2*c**4 - 1/15*c**5 + 0*c - 40/3*c**3. Factor s(q).
-4*(q + 4)*(q + 5)
Let t = -12073 + 12075. Let r(c) be the first derivative of -1/40*c**5 + 0*c**t - 34 - 1/4*c**3 + 7/32*c**4 + 0*c. Factor r(v).
-v**2*(v - 6)*(v - 1)/8
Let k = 3440 - 3434. Let z(u) be the third derivative of 1/900*u**k + 0 + 0*u + 1/450*u**5 + 0*u**3 + 14*u**2 - 1/90*u**4. Factor z(v).
2*v*(v - 1)*(v + 2)/15
Let v(h) be the third derivative of 5/2*h**5 + 13/10*h**6 + 0*h - 3/224*h**8 + 0*h**4 + h**2 - 71/140*h**7 - 27 + 0*h**3. Find m, given that v(m) = 0.
-25, -2/3, 0, 2
Factor 8 - 116*p - 188310*p**2 - 2*p**5 + 26*p**4 + 188468*p**2 - 98*p**3 + 24.
-2*(p - 8)*(p - 2)*(p - 1)**3
Find x such that -1250*x**2 + 0 - 2515/2*x**3 + 2510*x - 5/2*x**4 = 0.
-502, -2, 0, 1
Let j(p) be the second derivative of p**5/80 - 23*p**4/24 + 43*p**3/6 - 21*p**2 + 1171*p. Factor j(l).
(l - 42)*(l - 2)**2/4
Factor