 - 1)*(4*x - 3)
Let l(w) be the third derivative of -w**5/40 - 57*w**4/16 - 153*w**3/2 - 104*w**2 - w + 1. Determine c so that l(c) = 0.
-51, -6
Let v(k) be the second derivative of 0*k**2 - 4 + 2/5*k**6 - 11*k - 1/5*k**5 - 2/21*k**7 + 4/3*k**3 - k**4. Solve v(l) = 0.
-1, 0, 1, 2
Let c(i) be the first derivative of -59319*i**5 - 9468225*i**4/4 + 243165*i**3 - 18715*i**2/2 + 160*i - 1388. Factor c(w).
-5*(w + 32)*(39*w - 1)**3
Suppose -4/9*j**3 + 4/9*j + 104/9*j**4 - 104/9*j**2 + 0 = 0. What is j?
-1, 0, 1/26, 1
Factor 2/7*g**3 + 74/7 - 146/7*g + 10*g**2.
2*(g - 1)**2*(g + 37)/7
Let t(f) be the first derivative of 3*f**5/5 + f**4/4 - 4*f**3 - 2*f**2 - 364. Factor t(j).
j*(j - 2)*(j + 2)*(3*j + 1)
Solve -15*f**2 - 40 - 18*f**2 + 47*f**2 - f**2 - 11*f**2 + 2*f = 0.
-5, 4
Determine b, given that 100 + 2*b**2 - 136*b - 2*b**4 + 68 + b**2 - b**2 + 16*b**3 = 0.
-3, 2, 7
Let i(q) = -14*q**2 + 6849*q + 22. Let v(m) = 4*m**2 - 1711*m - 6. Let o(s) = -6*i(s) - 22*v(s). Solve o(y) = 0 for y.
-863, 0
Let q(y) be the first derivative of -y**6/9 - 9*y**5/5 - 34*y**4/15 - 8*y**3/9 - 76*y - 108. Let m(v) be the first derivative of q(v). Factor m(t).
-2*t*(t + 10)*(5*t + 2)**2/15
Suppose -481*c + 3144 = 567*c. Find v, given that -324/5*v**c + 1568/5*v - 684*v**2 - 176/5 = 0.
-11, 2/9
Suppose -c = 15 - 22. Factor -3*v - 3*v**3 + 27*v**2 - c*v**2 + v**2 - 15*v**2.
-3*v*(v - 1)**2
Let b(y) be the second derivative of -1/80*y**5 + 8*y + y**3 + 1/2*y**2 + 1/16*y**4 + 0. Let h(p) be the first derivative of b(p). Factor h(m).
-3*(m - 4)*(m + 2)/4
Let c(s) = 18*s**3 - 88*s**2 + 187*s - 50. Let h(a) = -10*a**3 + 44*a**2 - 93*a + 30. Let v(x) = 3*c(x) + 5*h(x). Factor v(i).
4*i*(i - 8)*(i - 3)
Let z be 45/39 - 1 - 82976/(-104). Let f = -3981/5 + z. Factor 6/5*b + 0 + 0*b**3 - f*b**2 + 3/5*b**4.
3*b*(b - 1)**2*(b + 2)/5
Find w, given that -48/7*w - 108/7 + 1/7*w**3 + 5/7*w**2 = 0.
-9, -2, 6
Let v(q) = 5*q**4 + 8*q**3 - 11*q**2 + 10*q. Let c(z) = -10*z**4 - 18*z**3 + 21*z**2 - 20*z. Let k = 97 - 93. Let t(a) = k*c(a) + 9*v(a). Factor t(h).
5*h*(h - 1)**2*(h + 2)
Let d(p) = 2*p**3 - 52*p**2 - 110*p - 32. Let s(q) = -q**2 - 2*q + 3. Let k(i) = d(i) - 6*s(i). Solve k(a) = 0 for a.
-1, 25
Suppose -2*w + 17*y + 16 = 18*y, 0 = -5*w + y + 26. Let d(m) be the first derivative of 17/5*m**3 + 3/5*m**2 + 0*m - 24 + w*m**4 + 48/25*m**5. Factor d(a).
3*a*(a + 2)*(4*a + 1)**2/5
Let a(p) be the third derivative of p**7/1680 - 3*p**6/80 - 47*p**4/24 + 5*p**2 + 6. Let x(q) be the second derivative of a(q). Find v such that x(v) = 0.
0, 18
Suppose 2/17*y**4 + 36/17*y - 8/17*y**3 + 0 - 6/17*y**2 = 0. Calculate y.
-2, 0, 3
Let f = -134/9 + 688/45. Let h(r) be the first derivative of 3/2*r**4 - 3*r**2 + 4*r - f*r**5 - 2/3*r**3 + 12. Factor h(a).
-2*(a - 2)*(a - 1)**2*(a + 1)
Let n(g) be the second derivative of -g**7/210 + g**6/75 + 2*g**5/25 - 3*g**4/10 + 3*g**3/10 + 1922*g. Solve n(q) = 0.
-3, 0, 1, 3
Let f(s) be the first derivative of -s**6/72 - 5*s**5/6 - 125*s**4/6 - 14*s**3 - 36. Let y(c) be the third derivative of f(c). Factor y(p).
-5*(p + 10)**2
Determine v, given that 105*v**2 - 3*v**5 + 1175*v**4 + 91*v**3 - 279*v**3 - 1218*v**4 - 2*v**5 + 3*v**5 = 0.
-15, -7, 0, 1/2
Let h(m) be the first derivative of -4/5*m**5 + 1862*m**2 - 194 - 308*m**3 - 5488*m + 25*m**4. Factor h(v).
-4*(v - 7)**3*(v - 4)
Let q be ((-7)/4)/((-5)/(-20))*-1. Suppose q*a - 6*a - 119 = 0. Find b, given that 1 + b + 61*b**2 + 57*b**2 - a*b**2 - b**3 = 0.
-1, 1
Let j(t) be the second derivative of -13/30*t**5 + 0 - 1/18*t**6 - 5/3*t**3 - 30*t + 0*t**2 + t**4. Let u(r) be the second derivative of j(r). Factor u(w).
-4*(w + 3)*(5*w - 2)
Let o be -3*((-30)/(-40))/(18/(-16)). Let d(a) be the first derivative of -2/39*a**3 - 8/13*a + 9 - 4/13*a**o. What is b in d(b) = 0?
-2
What is y in -874/5*y - 361/5 - 184/5*y**3 - 16/5*y**4 - 681/5*y**2 = 0?
-19/4, -1
Let g(i) = 53*i + 5091. Let a be g(-96). What is u in 0*u + 3/2*u**2 + 0 + 3/2*u**a = 0?
-1, 0
Let x(w) be the first derivative of -w**3/9 - 52*w**2 - 8112*w - 49. Factor x(t).
-(t + 156)**2/3
Let y be ((-10)/(-50))/((-6)/(-60)). Determine s, given that 3*s**2 - 2*s**2 + 33*s - 4*s**y - 54 = 0.
2, 9
Suppose -98*c + 57*c = -51*c + 20. Let a(l) be the first derivative of 5*l**3 + 95/2*l**c - 70*l + 21. Factor a(p).
5*(p + 7)*(3*p - 2)
What is k in 0 - 610/3*k**2 - 8/9*k**3 + 458/9*k = 0?
-229, 0, 1/4
Let z(d) = 9 - 80 - 14*d - d - 184. Let b be z(-17). Solve 2/5*c**2 + b - 4/5*c = 0 for c.
0, 2
Let c(d) be the second derivative of d**7/1470 - d**6/210 - 10*d**3/3 + 5*d. Let z(r) be the second derivative of c(r). What is v in z(v) = 0?
0, 3
Let n(l) be the second derivative of 2*l - 19 + 1/3*l**3 - 1/12*l**4 + 0*l**2. Factor n(x).
-x*(x - 2)
Let k(o) be the third derivative of o**5/270 + 14*o**4/27 + 784*o**3/27 + 74*o**2 + 5*o. Solve k(d) = 0.
-28
Suppose 4*t + 1221*g - 1220*g = -7, 2*t - 14 = 2*g. Let u(l) be the second derivative of t - 42*l + 10*l**2 + 5/4*l**4 - 65/6*l**3. Factor u(p).
5*(p - 4)*(3*p - 1)
Let f(r) be the second derivative of -1/120*r**5 - 1/18*r**3 - r - 19 - 1/24*r**4 + 0*r**2. Factor f(k).
-k*(k + 1)*(k + 2)/6
Find x, given that 63*x**2 - 67*x**4 - 83*x**4 + 227*x**4 - 92*x**4 + 3*x**3 - 54*x + 3*x**5 = 0.
-2, 0, 1, 3
Factor -216*u + u**2 + 120*u + 93*u - 28.
(u - 7)*(u + 4)
Let w = 319 + -317. Let -7*o**3 - 9*o**3 - 3*o**4 - 40*o**w - 46 + 7*o**4 + 112*o - 14 = 0. What is o?
-3, 1, 5
Let z(a) be the second derivative of a**6/18 - 5*a**5/3 - 5*a**4/36 + 50*a**3/9 - a + 1242. Factor z(x).
5*x*(x - 20)*(x - 1)*(x + 1)/3
Factor 22 - 1/5*f**2 + 1/5*f.
-(f - 11)*(f + 10)/5
Let d(a) be the third derivative of a**5/30 - 39*a**4/4 + 116*a**3/3 - 1581*a**2. Solve d(g) = 0 for g.
1, 116
Let o(z) be the third derivative of 2*z**3 - 1/90*z**5 + 0 + 6*z**2 - 2*z + 7/36*z**4. Factor o(v).
-2*(v - 9)*(v + 2)/3
Let x(i) be the second derivative of -3*i**5/16 - 391*i**4/6 - 555*i**3/8 - 26*i**2 - 24*i - 3. Suppose x(v) = 0. What is v?
-208, -1/3, -1/5
Let k be (-2)/38 - 4740/(-3420). Let n(d) be the first derivative of -k*d + 6 - 2/9*d**3 + d**2. Find x, given that n(x) = 0.
1, 2
Let m(z) be the first derivative of 20/7*z**3 + 12 - 9/14*z**6 - 43/14*z**2 + 5/2*z**4 - 66/35*z**5 + 6/7*z. Let m(s) = 0. Calculate s.
-3, -1, 2/9, 1/3, 1
Suppose -4*f - 66 = -10*f. Let d(b) = -b**3 - 37*b**2 + 42*b. Let z(c) = -3*c**3 - 111*c**2 + 125*c. Let a(w) = f*d(w) - 4*z(w). Determine y so that a(y) = 0.
-38, 0, 1
What is r in 282*r**3 + 264*r**2 + 19*r**4 + 156*r**2 + 20*r - 437*r**3 - 560 + 6*r**4 - 20*r**4 = 0?
-1, 2, 28
Let c(w) be the first derivative of w**3/4 - 3843*w**2/4 + 4922883*w/4 + 1883. What is a in c(a) = 0?
1281
Let o(g) = 1420*g - 38324. Let c be o(27). Factor c*x**2 + 0 + 0*x + 2/3*x**3.
2*x**2*(x + 24)/3
Let z(o) = -15*o + 65. Let i be 14/2 - 75/25. Let x be z(i). Factor 1/5*b**x + 0*b**3 + 2/5*b**4 - 1/5*b - 2/5*b**2 + 0.
b*(b - 1)*(b + 1)**3/5
Let o(y) be the third derivative of -y**6/120 + y**5/3 + 7*y**4/8 + 3*y**3/2 + 21*y**2. Let d be o(21). Factor 12*q**2 - 36*q - d + 12*q - 3*q**2.
3*(q - 3)*(3*q + 1)
Let k(t) be the first derivative of -t**6/240 - t**5/80 + 23*t**3 - 55. Let d(o) be the third derivative of k(o). Factor d(q).
-3*q*(q + 1)/2
Find t such that 414 - 555*t + 76*t**3 + 315*t**3 + 142*t**2 - 392*t**3 = 0.
1, 3, 138
Let h = 3470 - 62459/18. Let k(t) be the second derivative of 0 - 1/9*t**2 + h*t**4 + 2/27*t**3 + 19*t. Factor k(m).
2*(m + 1)*(3*m - 1)/9
Let s = 3853/9 + -7625/18. Suppose -4*t + 1/2*t**2 - s = 0. Calculate t.
-1, 9
Suppose -x - 5*u + 37 = 0, 9*x = 4*x + 4*u + 40. Suppose -x = 12*n - 15*n. Factor -18*z**2 - 2*z - 10*z**4 - 24*z**3 + 2*z - n*z.
-2*z*(z + 1)**2*(5*z + 2)
Let u be 4/(-10) - (-12000)/18. Let y = -666 + u. Factor -2/15 + y*o - 2/15*o**2.
-2*(o - 1)**2/15
Let g(h) be the second derivative of -h**6/360 + 19*h**5/120 - h**3/3 + 5*h**2 + h + 26. Let v(z) be the second derivative of g(z). Factor v(r).
-r*(r - 19)
Find z, given that 51*z**2 + 39*z**2 - 94 + 3*z**4 - 46*z**3 + 420*z - 120*z + 10*z**3 - 1031 = 0.
-3, 5
Let r(a) = a**3 - a**2 + 4. Let d(i) = -i**3 + 453*i**2 + 16*i - 1812. Let v(c) = d(c) - 3*r(c). Factor v(s).
-4*(s - 114)*(s - 2)*(s + 2)
Let c(h) be the second derivative of 13/32*h**4 + 3/4*h**2 + 1/80*