 254*n + 1114. Let f be z(-4). Solve 6*q + 63/5 + 3/5*q**f = 0.
-7, -3
Let x(p) be the first derivative of p**4/28 - 8*p**3/21 + 6*p**2/7 + 1203. Determine v so that x(v) = 0.
0, 2, 6
Let g(o) = -o**3 - 27*o**2 - 18*o + 215. Let a be g(-26). Let f(u) be the first derivative of 4*u**3 - 4*u**2 + a + 1/5*u**5 - 3/2*u**4 + 0*u. Factor f(c).
c*(c - 2)**3
Solve -1267232 - 3184/3*w - 2/9*w**2 = 0.
-2388
Let d(u) = -9*u - 9. Let x be d(-6). Let b be (-1)/(-2)*(-9 - (18 - 35)). Factor x - 40*a + b*a**2 - 10 + a**2 + 0*a**2.
5*(a - 7)*(a - 1)
Let y(g) be the second derivative of -8*g**5/115 - 2596*g**4/69 + 2605*g**3/23 - 2934*g**2/23 + 25*g - 17. Factor y(o).
-2*(o + 326)*(4*o - 3)**2/23
Let l(d) be the first derivative of -1/40*d**5 + 5/24*d**4 + 22 + 29*d + d**2 - 2/3*d**3. Let c(r) be the first derivative of l(r). Find o, given that c(o) = 0.
1, 2
Suppose -30972*z + 30959*z = -26. Let r(o) be the first derivative of 8*o + 1/2*o**4 + 3 + 10/3*o**3 + 8*o**z. Solve r(b) = 0.
-2, -1
Suppose 4*l + 20 = -3*z, 4*l + 9909 = 9877. Let h be 21/12*(-6)/(-14). Factor -3/4*x + 0 - 3/4*x**2 + h*x**3 + 3/4*x**z.
3*x*(x - 1)*(x + 1)**2/4
Let h be (4/6)/((-1)/(-3)). Suppose -2*l + 52 = -2*v + 10, -18 = -l - 2*v. Find x such that -3*x - 8*x**3 - l*x**h - x + 5 + 3 = 0.
-2, -1, 1/2
Determine o, given that -127/8*o**3 + 393/4 + 1447/8*o + 535/8*o**2 - 1/8*o**4 = 0.
-131, -1, 6
Let c = -2245 + 2249. Let i(o) be the first derivative of -5/6*o**6 - 4*o**5 - 20/3*o**3 + 0*o - 15/2*o**c + 12 - 5/2*o**2. Factor i(v).
-5*v*(v + 1)**4
Let j(u) = -u**2 - u. Let r(l) be the second derivative of -l**4/6 - 19*l**3/2 + l + 8. Let h(s) = -3*j(s) - r(s). Factor h(w).
5*w*(w + 12)
Suppose -12*x = -5*x - 35. Factor -x + 2*c + c - c**2 - 5*c + 4.
-(c + 1)**2
Let i = 109 - 80. Factor 19 + i*b - 9*b**2 - 11*b + 18 - 3*b**3 - 13.
-3*(b - 2)*(b + 1)*(b + 4)
Let c(b) be the second derivative of b**7/105 + 113*b**6/75 + 71*b**5 + 1955*b**4/3 - 3551*b**3/15 - 19663*b**2/5 + 1844*b - 3. Find i, given that c(i) = 0.
-53, -7, -1, 1
Let y(n) = -n**2 - 12*n + 30. Let k be y(-14). Factor -2*j + 0*j + 49*j**2 - 40*j**k + 5*j**3.
j*(j + 2)*(5*j - 1)
Let p(x) be the first derivative of -x**3/9 + 976*x**2/3 - 952576*x/3 + 2093. Determine r so that p(r) = 0.
976
Let o(t) be the second derivative of t**4/18 + 40*t**3/3 + 464*t**2/3 - 2260*t. Factor o(f).
2*(f + 4)*(f + 116)/3
Let u(f) be the second derivative of -f**4/20 + 774*f**3/5 - 898614*f**2/5 + f + 942. Find l, given that u(l) = 0.
774
Let f(v) = 2*v**2 + 16*v + 26. Let x be f(-6). Determine g so that x*g**4 - 4*g + 8*g + 8*g - 3*g + 13*g**2 + g - 13*g**3 = 0.
-1/2, 0, 2, 5
Let a(b) be the second derivative of -1/20*b**5 - 2 + 3/2*b**3 - 1/4*b**4 + 2*b - 5/2*b**2. Factor a(t).
-(t - 1)**2*(t + 5)
Let a(o) = -6*o + 93. Let i be a(16). Let u be i/84*-71 - 3/12. Find f such that -8/7 - u*f - 10/7*f**2 - 2/7*f**3 = 0.
-2, -1
Suppose -22*w + 17*w + 4*c + 6 = 0, 8*c - 10 = -w. Factor 4/7*m**w + 8/7 - 18/7*m.
2*(m - 4)*(2*m - 1)/7
Let y(h) = -h**4 - h**3 + h**2 + 3*h - 3. Let u(d) = 72*d**3 + 71*d**2 - 141*d - 3. Let l(m) = -u(m) + y(m). Factor l(a).
-a*(a - 1)*(a + 2)*(a + 72)
Let h(s) = 2*s**2 - 2*s - 2. Let o(u) = 4*u**2 - 4*u - 4. Let i(a) = 5*h(a) - 2*o(a). Let w be i(-1). Factor 12*b - 19*b + b**2 + 8*b - 2*b**w.
-b*(b - 1)
Let t(n) be the second derivative of n**7/3360 + n**6/960 - n**5/80 - 7*n**4/2 - 18*n - 1. Let y(h) be the third derivative of t(h). Factor y(z).
3*(z - 1)*(z + 2)/4
Solve 3071*z**2 + 968 - 2453*z**2 + 3*z**4 - 2*z**4 - 381*z - 1159*z - 47*z**3 = 0.
1, 2, 22
Let i be 105/(-12)*(-3420)/3990. Factor i*h**3 + 0 - 27/4*h**2 - 3/4*h**4 + 0*h.
-3*h**2*(h - 9)*(h - 1)/4
Let 719*z**2 + 991*z**2 - 65*z**4 - 26882 - 2025*z + 23237 - 5*z**5 + 30*z**3 = 0. Calculate z.
-9, -1, 3
Suppose 16*v + 34*v = -20*v + 140. Let x(u) be the first derivative of 6/5*u**5 - 4/3*u**3 - 3*u**2 + 15 + u**4 + 1/3*u**6 - v*u. Factor x(r).
2*(r - 1)*(r + 1)**4
Let t(f) be the third derivative of f**7/140 - 19*f**6/360 + f**5/8 - f**4/12 + 32*f**3/3 + 2*f**2 - 14. Let u(y) be the first derivative of t(y). Factor u(o).
(o - 2)*(o - 1)*(6*o - 1)
Solve -3*b**3 + 1345*b**2 - 2*b**3 - 116415 - 92435*b + 381750 = 0 for b.
3, 133
Let h(x) be the third derivative of -x**10/40320 + x**9/6720 - x**8/4480 - 61*x**4/6 + 2*x**2 + 31*x. Let j(u) be the second derivative of h(u). Factor j(y).
-3*y**3*(y - 2)*(y - 1)/4
Suppose -354 = 3*m - 357. Let -15 + 7 + 14*g - 40*g**2 + 6 + m = 0. Calculate g.
1/10, 1/4
Let i be (14/126)/((-9)/(-270)). Let z(o) be the third derivative of 0 - 2*o**2 + 1/4*o**5 + 0*o + 1/24*o**6 + 0*o**4 - i*o**3. Solve z(u) = 0.
-2, 1
Determine v, given that -5*v**4 - 254*v + 10*v**3 + 10*v**2 + 72*v**2 + 30*v**3 + 58*v**2 - 146*v = 0.
-4, 0, 2, 10
Let q be (13/39)/((-1)/(-9)). Find l such that 3*l**2 - 9*l**2 + 7*l**q + 0*l**3 + 3*l**4 - 4*l**3 = 0.
-2, 0, 1
Let x be ((-8)/(-5968))/((-5)/60). Let s = 2966/1119 - x. Let 4/3*k**2 + s*k + 4/3 = 0. Calculate k.
-1
Suppose 10*k - 618 = -158. Let x = k + -44. Let -10*z**3 + 11*z**3 + 4*z - 5*z**2 + z**x = 0. What is z?
0, 2
Let w = -23286 - -23304. Let o(a) be the first derivative of -a**3 + w*a - 19 - 3/2*a**2. Solve o(p) = 0.
-3, 2
What is q in 33/7*q**2 + 3/7*q**5 + 0*q + 0 - 3/7*q**3 - 33/7*q**4 = 0?
-1, 0, 1, 11
Let u(y) be the first derivative of -y**6/15 + 9*y**5/25 - 2*y**4/5 - 8*y**3/15 - 72*y + 117. Let q(f) be the first derivative of u(f). Factor q(h).
-2*h*(h - 2)**2*(5*h + 2)/5
Let j(y) = -24*y**2 + 621*y + 636. Let v(d) = -11*d**2 + 310*d + 317. Let m(r) = -4*j(r) + 9*v(r). Solve m(o) = 0.
-1, 103
Suppose 0*d = -3*d + 231. Let h = -68 + d. Determine j so that -4 - 4*j + 2 - h*j**2 - 7*j**2 + 14*j**2 = 0.
-1
Suppose -3*o + 39 = 10*o. Factor -652*g + 13 + 659*g**2 - 20*g**o - 171*g**2 + 95 + 76.
-4*(g - 23)*(g - 1)*(5*g - 2)
Let n(v) be the second derivative of -v**6/48 - v**5/24 + 5*v**4/24 - 29*v**2 + 14*v - 1. Let w(i) be the first derivative of n(i). Factor w(t).
-5*t*(t - 1)*(t + 2)/2
Factor 1273*r**4 - 2499*r**4 + 1224*r**4 + 2328*r + 168*r**3 - 1108*r**2 - 1386.
-2*(r - 77)*(r - 3)**2*(r - 1)
Let r(l) = -8*l**2 + 138*l - 9. Suppose -3*v + 3*x - 24 = 0, -23*x + 18*x + 16 = 3*v. Let w(g) = 9*g**2 - 139*g + 12. Let p(m) = v*w(m) - 4*r(m). Factor p(n).
5*n*(n - 27)
Let x(f) be the second derivative of -f**4/27 - 124*f**3/9 - 2506*f**2/9 + 2*f + 2007. Factor x(p).
-4*(p + 7)*(p + 179)/9
Let b be 2 - 64/56 - -7 - 5. Let p(o) be the second derivative of 0 + 24/7*o**2 + 3/14*o**5 + b*o**3 + 33/28*o**4 - 28*o + 1/70*o**6. Factor p(v).
3*(v + 1)**2*(v + 4)**2/7
Let g(p) be the first derivative of -213 + 198*p**2 - 88*p**3 - 192*p - 3/5*p**5 + 63/4*p**4. Factor g(t).
-3*(t - 16)*(t - 2)**2*(t - 1)
Determine c so that 66/5*c**3 + 702/5*c + 444/5*c**2 - 243 + 3/5*c**4 = 0.
-9, -5, 1
Let u(f) be the third derivative of f**6/24 + 191*f**5/4 + 182405*f**4/8 + 34839355*f**3/6 - 110*f**2 + 9*f - 2. Factor u(a).
5*(a + 191)**3
Let 312/17*v**2 + 2/17*v**4 + 60/17*v**3 + 384/17 + 592/17*v = 0. Calculate v.
-24, -2
Let h(m) be the second derivative of -m**4/20 + 2*m**3/5 + 7948*m. Determine y so that h(y) = 0.
0, 4
Let b(r) be the first derivative of -r**6/2 + 261*r**5/5 - 5805*r**4/4 + 1849*r**3 + 1632. What is z in b(z) = 0?
0, 1, 43
Suppose 257 + 127 = 128*a. Let x = -113 - -347/3. Suppose 8/9*p - 46/9*p**2 + 8*p**4 - x*p**a + 8/9 = 0. What is p?
-1/2, 2/3
Factor 32*g**2 + 42050/9 - 2320/3*g.
2*(12*g - 145)**2/9
Find w such that 708*w**3 - 3238*w + 2*w**5 - 104*w**4 + 4326*w + 2*w**5 - 1696*w**2 = 0.
0, 1, 4, 17
Let g(o) be the second derivative of o**9/5040 - o**8/448 + o**7/210 + 12*o**4 + 15*o. Let d(m) be the third derivative of g(m). What is i in d(i) = 0?
0, 1, 4
Let c be -2*(8/24 + 7090/(-12)). Let h = c + -8251/7. Factor -16/7 - 4/7*b + 4/7*b**3 + h*b**2.
4*(b - 1)*(b + 1)*(b + 4)/7
Let s = 11177/4 - 2777. Let u = s + -63/4. Suppose -27/4*c**5 + 3/2 - 27/4*c + 27/2*c**3 + u*c**4 - 3*c**2 = 0. What is c?
-1, 2/9, 1
Factor 3/5*g**3 - 27/5*g - 162/5 + 18/5*g**2.
3*(g - 3)*(g + 3)*(g + 6)/5
Let f(p) be the third derivative of -p**6/300 - p**5/15 - 8*p**4/15 - 32*p**3/15 - 35*p**2 + 4. Let f(k) = 0. What is k?
-4, -2
Let b(z) be the second derivative of 0*z**2 + 1/6*z**3 + 2 + 1/6*z**4 + 1/20*z**5 + 20*z