ative of v(s). Let m(u) = 0. What is u?
-2/9, 7
Factor 56*o**3 + 856/5*o - 2/5*o**4 + 286/5 + 852/5*o**2.
-2*(o - 143)*(o + 1)**3/5
Factor 2427/5*m + 3/5*m**2 - 486.
3*(m - 1)*(m + 810)/5
Let b(k) be the third derivative of k**6/40 - 233*k**5/15 - 1247*k**4/24 - 52*k**3 + 1309*k**2 + 2. Find s such that b(s) = 0.
-1, -1/3, 312
Let i(w) be the first derivative of -2/3*w**2 - 60 + 0*w + 5/3*w**3 - 7/24*w**4. Factor i(b).
-b*(b - 4)*(7*b - 2)/6
Suppose 2*u - 5 - 215 = 0. Let w(m) = 12*m - 70. Let k be w(6). Factor 5*z**k - 15*z + u - 193 + 93.
5*(z - 2)*(z - 1)
Let i be (-1)/(-2) + 5/2. Factor -6*y - 7 + 6*y**i - 14*y**2 + 2*y**4 + 16*y**2 + 3.
2*(y - 1)*(y + 1)**2*(y + 2)
Suppose 10*r + 8 = 11*r. Let g be 3/(-2)*5/((-15)/r). Solve 23*j**2 - 74*j**2 - 8*j + 33*j**2 - 4*j**g + 30*j**2 = 0 for j.
-2, 0, 1
Let u be (-7 + 7 + 0)/((-16 - -32) + -12). Factor -1/4*i**3 + 3*i**2 + u - 11/4*i.
-i*(i - 11)*(i - 1)/4
Determine y, given that 217/2*y**2 + 1/2*y**3 - 11881/2 + 11663/2*y = 0.
-109, 1
Let t = 188545 - 17157813/91. Let g = 33/13 + t. Solve o + 6/7 + g*o**2 = 0 for o.
-6, -1
Let o = -156313 - -156394. Determine b so that 201/8*b**3 - 81/2 - 513/8*b**2 - 39/8*b**4 + o*b + 3/8*b**5 = 0.
2, 3
Suppose -1183*i + 7 = -1190*i. Let n be (-10)/(-30)*-12*i. Factor v**3 + 0*v - 1/4*v**5 + 0*v**n + 0*v**2 + 0.
-v**3*(v - 2)*(v + 2)/4
Suppose -5*h + 30 = 5*k, 7*k - 6*k = 2*h. Suppose 6 = 5*r - h*a, -5*r + 7*r + 2*a - 8 = 0. Let -4/5*j - 56/5*j**r + 12*j**3 + 0 = 0. What is j?
-1/15, 0, 1
Let r(h) = -h**5 + h**2 + h + 1. Let q(b) = -20*b**5 + 28*b**4 + 2120*b**3 + 8596*b**2 + 2020*b + 4. Let y(j) = q(j) - 4*r(j). Let y(w) = 0. Calculate w.
-6, -1/4, 0, 14
Let d(p) = 3*p**3 + 13*p**2 + 2*p - 4. Let r = 58 + -49. Let z(h) = -6*h**3 - 27*h**2 - 3*h + 9. Let i(t) = r*d(t) + 4*z(t). Determine j, given that i(j) = 0.
-2, -1, 0
Factor -396/5 + 2/5*u**3 - 206/5*u + 0*u**2.
2*(u - 11)*(u + 2)*(u + 9)/5
Let m(n) be the first derivative of 8*n + 0*n**2 - 2*n**3 + 164 + 1/2*n**4. What is t in m(t) = 0?
-1, 2
Suppose 2*a + 14 = 4*l, -a - 4*a - 10 = -5*l. Factor 15*t**2 + 28*t**3 - 8*t**3 - 3*t**4 - 32*t**a.
-3*t**2*(t - 1)*(t + 5)
Factor -140/3 + 346/15*q + 2/15*q**2.
2*(q - 2)*(q + 175)/15
Suppose -8*w + 2257 - 2209 = 0. Let v be 4/w - 10/24. Let -v*f**2 + 0 + 1/4*f**4 - 3/4*f + 3/4*f**3 = 0. Calculate f.
-3, -1, 0, 1
Let n = 42274 - 128038/3. Let y = -405 - n. Factor x**3 - 4/3*x + 0*x**2 + 0 + y*x**4.
x*(x - 1)*(x + 2)**2/3
Let i(j) be the third derivative of -1/105*j**7 + 0*j - 1/12*j**6 + 3/4*j**4 - 1/10*j**5 + 0*j**3 - 2*j**2 - 42. Find n such that i(n) = 0.
-3, 0, 1
Let y = 5446 - 5446. Let w(v) be the third derivative of 0*v**4 + y + 0*v**3 - 2/105*v**7 + 0*v - 1/15*v**6 - 1/15*v**5 + 8*v**2. Factor w(u).
-4*u**2*(u + 1)**2
Let o(z) be the second derivative of -z**7/14 - 2*z**6 - 207*z**5/20 - 41*z**4/2 - 16*z**3 - 36*z - 2. Solve o(a) = 0 for a.
-16, -2, -1, 0
Let d(c) be the second derivative of -c**5/30 + c**4/9 + 13*c**3/9 + 10*c**2/3 - 4*c - 104. Determine v so that d(v) = 0.
-2, -1, 5
Let h = -2/275351 - -13216858/1376755. Determine w, given that -48/5*w**4 + h*w**2 + 0 - 44/5*w + 4/5*w**5 + 8*w**3 = 0.
-1, 0, 1, 11
Let u be -8 + (-8)/32*-32. Let f(v) be the first derivative of 4/35*v**5 + 0*v**3 - 18 + 0*v + 0*v**4 + u*v**2. Factor f(b).
4*b**4/7
Let d(n) = n**2 + 36*n - 2. Let f be d(-41). Factor -203*p + 45 + f*p - 5*p**2.
-5*(p - 3)*(p + 3)
Let u(b) be the first derivative of -2*b**3/3 + 32*b - 1180. Solve u(v) = 0.
-4, 4
Factor -662*v**2 + 479*v - 111*v + 6*v**3 + 106*v**2.
2*v*(v - 92)*(3*v - 2)
Suppose 0*m = 4*m + 4. Let y be (m/(4/(-9)))/((-3105)/(-6624)). Factor 36/5*p + 3/5*p**3 - y - 18/5*p**2.
3*(p - 2)**3/5
Determine p so that 2/3*p**3 - 224*p - 3200/3 - 6*p**2 = 0.
-8, 25
Let 13465*f**3 + 7*f - 13462*f**3 + 8*f + 7 + 12*f**2 - 1 = 0. What is f?
-2, -1
Let t be 759/1980 - (-4)/(-12). Let m(l) be the second derivative of 0 - 3/16*l**4 + 0*l**2 + 5*l + t*l**5 + 1/12*l**3. Factor m(f).
f*(f - 2)*(4*f - 1)/4
Let t(w) be the third derivative of 2 - 1/20*w**5 + 34*w**2 + 0*w**3 - 1/40*w**6 + 1/4*w**4 + 0*w. Factor t(a).
-3*a*(a - 1)*(a + 2)
Let d(h) be the third derivative of h**6/108 + h**5/135 - 7*h**4/12 + 4*h**3/3 + 497*h**2. Determine q so that d(q) = 0.
-4, 3/5, 3
Let w = 71 - 68. Let l(m) = -2*m**3 - m**2 - 2. Let n be l(-2). Factor 8 + 2*u**3 + n*u**2 - 9*u**w + 5*u**3 - 16*u.
-2*(u - 2)**2*(u - 1)
Suppose -5*h - 1111 = -3711. Factor -60*m**3 - 592*m + 136 - 520 - 312*m**2 + h*m**4 - 522*m**4.
-2*(m + 2)**3*(m + 24)
Let w(i) be the second derivative of -5*i**4/12 + 95*i**3/2 + 775*i**2 - 2260*i. Suppose w(q) = 0. What is q?
-5, 62
Let g = 119293 - 477171/4. Factor 2*f**3 - 3/4*f + 3/2*f**2 - g.
(f + 1)*(2*f - 1)*(4*f + 1)/4
Suppose 105*m = 31*m + 222. Let u(v) be the second derivative of -32*v**2 - 11*v**4 + 0 + 7*v + 2*v**5 - 2/15*v**6 + 80/3*v**m. Factor u(f).
-4*(f - 4)**2*(f - 1)**2
Let x = 94847/14 + -13545/2. Factor -x*k + 2/7*k**2 - 18/7.
2*(k - 9)*(k + 1)/7
Let w(z) = -6*z**3 - 275*z**2 + 449*z - 180. Let o(c) = -3*c**3 - c. Let a(r) = 15*o(r) - 5*w(r). Factor a(x).
-5*(x - 90)*(x - 1)*(3*x - 2)
Let t(r) be the third derivative of r**7/42 + 25*r**6/4 + 1406*r**5/3 - 125*r**4/4 - 9375*r**3/2 - 8*r**2 + 17. Find o, given that t(o) = 0.
-75, -1, 1
Let h = 358125 + -358123. Solve 8/3*u + 0 + h*u**2 - 29/3*u**3 + 5*u**4 = 0 for u.
-2/5, 0, 1, 4/3
Let p(s) be the third derivative of 0*s**3 + 0*s - 8/105*s**7 - 3 + 4/3*s**5 - 1/10*s**6 - 1/168*s**8 - s**2 - 25/12*s**4. Let p(z) = 0. What is z?
-5, 0, 1
Factor -16*u**2 - 128/3*u + 2/3*u**4 + 4*u**3 + 0.
2*u*(u - 4)*(u + 2)*(u + 8)/3
Let u be ((-8)/26*1)/((-2254)/14651). Factor 16/3 + 16/3*m + 4/3*m**u.
4*(m + 2)**2/3
Let h(v) = -83*v**2 + 1140*v - 1153. Let y(g) = 155*g**2 - 2280*g + 2305. Let j(n) = 15*h(n) + 8*y(n). Determine i so that j(i) = 0.
-229, 1
Let v(u) be the second derivative of u**5/30 - 17*u**4/18 - 41*u**3/9 + 19*u**2 + 39*u - 9. Let v(s) = 0. Calculate s.
-3, 1, 19
Suppose 0 = 5*g + 25, -19*k + 4*g = -18*k + 88. Let c = k + 111. Solve -1/4*n**2 - 5/4*n + 1/4*n**c - 3/4 = 0 for n.
-1, 3
Let k = -49/2 - -25. Let p = 4199425/4 - 1049856. Let -p*o**3 + o + 2 - k*o**2 = 0. What is o?
-2, 2
Let z(s) = s**2 + 1. Let w(o) = -3*o**3 + 17*o**2 + 11. Let u(v) = -v**3 - v**2 + 2. Let y(r) = 4*u(r) - w(r). Let d(j) = -y(j) - 3*z(j). Factor d(i).
i**2*(i + 18)
Let f be (-5 + 1)*(-227)/4540. Let j(h) be the second derivative of 0 - 16*h + 1/3*h**4 - 2/3*h**3 + 0*h**2 + f*h**5 - 2/15*h**6. Factor j(w).
-4*w*(w - 1)**2*(w + 1)
Let s = 7182 - 7180. Let r(i) be the second derivative of 0 - 3/2*i**4 - i**s - 2*i**3 + 26*i - 2/5*i**5. Determine u, given that r(u) = 0.
-1, -1/4
Let l(z) = -32*z**2 - 12*z + 82. Let q(w) = 4*w + 38*w**2 - 23 - 28*w**2 - 4. Let f(b) = 3*l(b) + 10*q(b). Suppose f(h) = 0. Calculate h.
-3, 2
Let l(y) be the first derivative of 3*y**4/4 - 15*y**3 - 3*y**2/2 + 45*y + 755. Factor l(s).
3*(s - 15)*(s - 1)*(s + 1)
Let v be (-15)/(120/(-128)) - (-1 + 6). Let m(n) = n**2 - 7*n + 10. Let q(b) = -5*b**2 + 34*b - 48. Let g(u) = v*m(u) + 2*q(u). Let g(f) = 0. Calculate f.
2, 7
Let w(g) be the first derivative of -2*g**5/95 - 21*g**4/38 - 158*g**3/57 + 21*g**2/19 + 160*g/19 - 783. Let w(b) = 0. What is b?
-16, -5, -1, 1
Let v be 36/27*(-3)/(-2)*-2. Let i be -11 + (1420/(-25))/v. Solve -4/5*u**3 - 12/5*u**2 + i*u + 0 = 0 for u.
-4, 0, 1
Let c(y) be the first derivative of -17/2*y**2 + 1/32*y**4 + 1/4*y**3 - 1/80*y**5 + 6 + 0*y. Let f(k) be the second derivative of c(k). Factor f(z).
-3*(z - 2)*(z + 1)/4
Let c(i) be the first derivative of 4/9*i**3 + 0*i - 52 + 7/9*i**2 - 1/18*i**4. Determine d, given that c(d) = 0.
-1, 0, 7
Let p(a) be the first derivative of a**4/5 + 8*a**3/5 + 2796. What is n in p(n) = 0?
-6, 0
Let o(n) be the second derivative of n**6/600 - 13*n**5/200 + 3*n**4/10 - 37*n**3/6 - 119*n. Let j(y) be the second derivative of o(y). Factor j(f).
3*(f - 12)*(f - 1)/5
Let z = -6 + -2. Let b be (-2)/14*-145 + z/(-28). Factor 2*i + 45*i**3 + 12 - 25*i + 8*i - 3*i**2 - b*i.
3*(i + 1)*(3*i - 2)*(5*i - 2)
Factor 1/4*i**2 - 111/2 - 31/4*i.
(i - 37)*(i + 6)/4
Let y(j) = -13*j**3 - 216*j**2 + 355*j - 186. Let f(w) = 11*w**3 + 222*w**2 - 350*w + 187. Let g(m) = -6*f(m) - 7*y(m)