13)
Let f(c) be the third derivative of -c**8/70560 + c**6/2520 + 71*c**5/30 + 5*c**2. Let n(h) be the third derivative of f(h). Factor n(q).
-2*(q - 1)*(q + 1)/7
Let d be (-6670)/(-322) + 4/14. Suppose -d*a + 35*a - 56 = 0. Solve -64/11*z - 2/11*z**a - 32/11 - 16/11*z**3 - 48/11*z**2 = 0.
-2
Let q be (10/6 + -5)*(7 - 1). Let f be q/(-3) - (-3 + (-33)/(-9)). Factor -12*z**4 + 3*z**5 + 3*z - 12*z**2 + 9*z**3 + f*z**3 + 3*z**3.
3*z*(z - 1)**4
Let g(i) be the second derivative of 17*i**6/60 + 19*i**5/40 + i**4/12 + i - 7. Determine n, given that g(n) = 0.
-1, -2/17, 0
Let t be 42/14*(-242)/(-363). Determine r, given that -162/7*r**t - 3/7*r**4 - 36/7*r**3 - 243/7 - 324/7*r = 0.
-3
Let 26/11*s**4 + 8/11*s**5 - 2*s**2 - 2*s + 14/11*s**3 - 4/11 = 0. Calculate s.
-2, -1, -1/4, 1
Determine d so that -1432/9*d - 1430/9 - 2/9*d**2 = 0.
-715, -1
What is y in -y**2 - 21 - 285*y + 732*y - 75 - 323*y - 148 = 0?
2, 122
Let l(s) be the first derivative of 2*s**3/21 + 82*s**2/7 - 1840*s/7 + 3789. Suppose l(b) = 0. Calculate b.
-92, 10
Let z(j) = 2*j**2 + 5*j + 4. Let s be (3 - 2)*(0 + (-12)/4). Let h be z(s). Factor -h*p**2 - 5*p + 3*p**2 - 35*p + 29 - 129.
-4*(p + 5)**2
Let f(c) be the third derivative of c**7/105 - c**6/12 + c**5/6 + 5*c**4/12 - 2*c**3 + 633*c**2. Let f(x) = 0. What is x?
-1, 1, 2, 3
Let a(i) be the first derivative of -i**7/42 + i**6/60 + i**5/10 + i**4/12 - 4*i**3 - 26. Let u(l) be the third derivative of a(l). What is h in u(h) = 0?
-1/2, -1/5, 1
Let t(n) be the third derivative of -1/72*n**6 + 1/36*n**4 - 198*n**2 + 0*n + 1/180*n**5 + 0 + 0*n**3 + 1/315*n**7. Factor t(c).
c*(c - 2)*(c - 1)*(2*c + 1)/3
Let j(k) be the first derivative of -k**3/3 - 71*k**2/2 - 988*k - 11761. Determine f, given that j(f) = 0.
-52, -19
Let -4/7*l**4 - 372/7*l**2 - 1048/7*l - 576/7 + 96/7*l**3 = 0. What is l?
-1, 8, 18
Let f = -51397/792 + 714/11. Let d(x) be the third derivative of 9*x**2 + 0*x**3 + f*x**4 + 0 - 1/180*x**5 + 0*x. Factor d(r).
-r*(r - 1)/3
Let a = -733214 - -733214. Solve a - 3*q + 3/4*q**3 + 0*q**2 = 0 for q.
-2, 0, 2
Let c(t) = -412 - 4*t + 9*t + 406 - t. Let s(g) = -g**2 + 8*g - 12. Let k be (-2)/8 + (-41)/(-4). Let n(r) = k*c(r) - 4*s(r). Suppose n(z) = 0. Calculate z.
-3, 1
Let i(c) be the third derivative of 58*c**2 - 7/9*c**3 - 1/45*c**5 + 0 - 5/12*c**4 + 0*c. Factor i(o).
-2*(o + 7)*(2*o + 1)/3
Let r(k) = 9*k**2 + 9*k + 7. Let d be r(6). Determine g, given that 3*g**3 + g**5 + 772*g**2 - 4*g**3 - 389*g**2 - d*g**2 + 2*g**4 = 0.
-2, -1, 0, 1
Let i(l) be the first derivative of -9*l**4/16 - 301*l**3/4 + 609*l**2/8 + 303*l/4 + 4293. What is o in i(o) = 0?
-101, -1/3, 1
Let m = 27244 - 27240. Let 0 - 21/2*j**3 + 33/2*j**2 + 3/2*j**m - 15/2*j = 0. Calculate j.
0, 1, 5
Let l(q) be the second derivative of q**6/75 - q**5/10 + q**4/10 + q**3/3 - 4*q**2/5 - 8*q + 1. Factor l(n).
2*(n - 4)*(n - 1)**2*(n + 1)/5
Let h(s) = 1405*s - 1. Let j be h(1). Suppose -j = -2*q - 1400. Factor -24/7 + 4/7*a**3 - 52/7*a - 4*a**q + 4/7*a**4.
4*(a - 3)*(a + 1)**2*(a + 2)/7
Let i(s) be the first derivative of -25/6*s**6 + 68 - 90*s + 45/2*s**4 - 280/3*s**3 - 345/2*s**2 + 18*s**5. Find j, given that i(j) = 0.
-1, -2/5, 3
Let j(z) be the third derivative of 5*z + 1/210*z**6 - 57/35*z**5 + z**2 - 123462/7*z**3 + 3249/14*z**4 + 0. Solve j(a) = 0.
57
Let v(d) be the second derivative of d**7/42 + d**6/6 + d**5/5 - 1163*d. Factor v(g).
g**3*(g + 1)*(g + 4)
Let y = 38837 - 38834. Let q(l) be the first derivative of 4/3*l**y - l**2 + 1/3*l**6 + 0*l**4 - 51 + 0*l - 4/5*l**5. Factor q(a).
2*a*(a - 1)**3*(a + 1)
Let z(h) be the second derivative of -h**7/210 - h**6/20 - h**5/12 + h**4 + 6*h**3 - 25*h**2 - 6*h - 11. Let x(w) be the first derivative of z(w). Factor x(v).
-(v - 2)*(v + 2)*(v + 3)**2
Let c be (-12 - (-820)/70) + 8914/(-14). Let i be ((-3)/(-4))/(c/104 - -8). Factor 0*g + 1/5*g**4 + 0 + 1/5*g**3 - i*g**2.
g**2*(g - 1)*(g + 2)/5
Let p(a) be the second derivative of a**6/10 - 31*a**5/60 + 25*a**4/36 + 7*a**3/18 - 5*a**2/3 - 1377*a. Find b such that p(b) = 0.
-5/9, 1, 2
Let u(z) = 9*z**2 + 20*z - 8. Let o(m) = 10*m**2 + 20*m - 10. Suppose -10 = -35*v + 37*v. Let c(y) = v*u(y) + 4*o(y). Find a, given that c(a) = 0.
-4, 0
Let v = -67 + 71. Suppose -9 + 17 = v*d. Factor d*q**2 + 2*q**2 + 37 - 20*q - 13.
4*(q - 3)*(q - 2)
Let f be (-35 - -34) + 3*4. Find h such that 30*h + 74 - 7*h**3 + f*h**3 - 206 - 68 - 6*h**3 + 12*h**2 = 0.
-4, 5
Let u(f) = 3*f**3 + 27*f**2 + 34*f - 5. Let p(d) = 0*d - 316 + 317 - 2*d. Let x(l) = -5*p(l) - u(l). Determine k so that x(k) = 0.
-8, -1, 0
Let b(c) be the second derivative of c**5/20 - 15*c**4 - 733*c**3/6 - 276*c**2 - 345*c - 4. Factor b(t).
(t - 184)*(t + 1)*(t + 3)
Let u(q) be the third derivative of -q**8/2016 + q**7/252 + 11*q**6/180 - 46*q**5/45 + 52*q**4/9 - 128*q**3/9 - 1973*q**2. Find b such that u(b) = 0.
-8, 1, 4
Let 4/7*r**2 + 872/7 + 444/7*r = 0. What is r?
-109, -2
Let u(s) be the third derivative of s**7/630 - 13*s**6/360 + s**5/90 + 14*s**4/9 + 16*s**3/3 + 435*s**2 + 6. Suppose u(d) = 0. What is d?
-2, -1, 4, 12
Let q(n) be the third derivative of n**7/70 - 11*n**6/40 - 4*n**5 + 225*n**4/2 + 3*n**2 - 41*n. Determine x so that q(x) = 0.
-9, 0, 10
Let j(i) = 58*i - 127. Let z be j(14). Let m = z + -2053/3. Factor -c - m - 1/3*c**2.
-(c + 1)*(c + 2)/3
Let i(l) = 12*l**2 + 1284*l - 3846. Let o(c) = 139*c**2 + 14122*c - 42306. Let t(z) = -23*i(z) + 2*o(z). Factor t(d).
2*(d - 641)*(d - 3)
Let l be -2 - 8/(-4)*48. Factor -l*k - 19*k**2 - 4*k**4 + 162 - 185*k + 5*k**4 - 21*k**3 + 156*k**2.
(k - 9)**2*(k - 2)*(k - 1)
Let k be ((-9)/27)/((-1)/(-6))*-1. Factor -18*p**3 - p**4 - 36*p**k + 8*p + 2*p**4 + 8 + 0*p - 3*p**4 + 40.
-2*(p - 1)*(p + 2)**2*(p + 6)
Let v(p) be the second derivative of p**4/16 - 37*p**3/8 + 315*p**2/4 - p + 508. Factor v(n).
3*(n - 30)*(n - 7)/4
Let i(f) be the first derivative of f**6/720 + f**5/40 + 5*f**4/48 - 4*f**3/3 - 5*f**2/2 - 213. Let z(m) be the third derivative of i(m). Factor z(o).
(o + 1)*(o + 5)/2
Let u(o) be the third derivative of -o**7/42 + 173*o**6/24 - 2465*o**5/4 - 12615*o**4/8 + 189*o**2 - o - 2. Factor u(h).
-5*h*(h - 87)**2*(h + 1)
Let c(r) = 1. Let w(a) = a**2 + 16*a + 2. Let m be w(-16). Let j(u) = 0*u**2 + 42*u - 2*u**2 - u**m - 142. Let z(o) = 5*c(o) - j(o). What is l in z(l) = 0?
7
Let n(u) be the second derivative of 3*u**5/160 - 813*u**4/16 + 220323*u**3/4 - 59707533*u**2/2 + 58*u + 6. Solve n(l) = 0.
542
Let p(h) be the third derivative of -h**5/60 - h**4/24 + 7*h**3 + 58*h**2 + h. Factor p(w).
-(w - 6)*(w + 7)
Let h = -4/3631 - -3639/7262. Factor h + 1/4*n**4 - 1/4*n + 1/4*n**3 - 3/4*n**2.
(n - 1)**2*(n + 1)*(n + 2)/4
Let h = 424 + -422. Determine d, given that -3*d**3 - 3*d + 4 - 1 + 6*d + 6*d**h + 0 - 9*d**2 = 0.
-1, 1
Let x(s) be the first derivative of -s**5/20 - 31*s**4/8 - 293*s**3/12 - 115*s**2/2 - 57*s - 3200. Solve x(g) = 0.
-57, -2, -1
Let z(t) be the third derivative of t**5/330 - 151*t**4/66 - 101*t**3/11 - t**2 - t - 4. Find i, given that z(i) = 0.
-1, 303
Let z(m) be the second derivative of -2*m**6/15 + 1342*m**5/5 - 448897*m**4/3 - 601216*m**3 - 903168*m**2 + 1481*m. Solve z(a) = 0 for a.
-1, 672
Let a(l) be the third derivative of l**8/480 + 67*l**7/1050 - 9*l**6/80 - 151*l**5/300 - l**4/6 - 7*l**2 - l - 296. Find s, given that a(s) = 0.
-20, -1, -1/7, 0, 2
Factor 35/2*h + 4*h**2 - 147 - 1/2*h**3.
-(h - 7)**2*(h + 6)/2
Suppose 58278 = 5*y + 58258. Let i(q) be the second derivative of 12*q + 0 + 5/12*q**y + 10/3*q**3 + 10*q**2. Factor i(s).
5*(s + 2)**2
Let m(o) = -107*o**3 + 212*o**2 + o + 6. Let y be m(2). Let -2/7*z**3 + 0*z + 0*z**2 + y = 0. What is z?
0
Let v(p) be the third derivative of 2/9*p**4 - p + 6*p**2 + 1/90*p**5 - p**3 + 0. Determine n so that v(n) = 0.
-9, 1
Let k = -7957 + 23881/3. Let x(a) be the second derivative of -27*a + 0 - a**5 + k*a**3 + 5/4*a**4 - 10*a**2 + 1/6*a**6. Factor x(c).
5*(c - 2)**2*(c - 1)*(c + 1)
Let k(r) be the first derivative of 0*r + 12 + 33/2*r**2 + 0*r**3 - 1/72*r**4 + 1/180*r**5. Let p(d) be the second derivative of k(d). Let p(i) = 0. What is i?
0, 1
Suppose 0 = -18*b + 68296 - 68224. Let a be (-204)/(-126) + (-2)/7. Let -1/3*w + 4/3*w**b + 0 + w**5 - 2/3*w**3 - a*w**2 = 0. Calculate w.
-1, -1/3, 0, 1
Let z be 