/9
Let g = -360 + 374. Suppose g*x**4 + 54*x**3 + 3*x**5 - 15*x**3 + 4*x**4 - 24*x**3 = 0. Calculate x.
-5, -1, 0
Let h(v) be the first derivative of -v**4/24 - 62*v**3/9 + 21*v**2 + 214. Factor h(i).
-i*(i - 2)*(i + 126)/6
Let d(w) be the third derivative of w**9/21168 + w**8/980 + 11*w**7/5880 - 10*w**3 - 237*w**2. Let f(v) be the first derivative of d(v). Solve f(n) = 0 for n.
-11, -1, 0
Let i be 1/(-2)*(16 + -16). Let -22/13*z**2 - 18/13*z**4 + 66/13*z**3 - 12/13*z - 14/13*z**5 + i = 0. What is z?
-3, -2/7, 0, 1
Let q(z) be the second derivative of z**4/3 - 712*z**3/3 - 2154*z**2 - 4463*z. Determine l, given that q(l) = 0.
-3, 359
Let b = -315 + 309. Let p be (-22)/(-99)*b/(-16)*4. Determine q, given that -1/3*q**5 - 2/3*q - 1/3*q**4 + p*q**2 + 0 + q**3 = 0.
-2, -1, 0, 1
Let r(t) = 2*t**2 - 3*t + 2. Let b be r(-2). Factor -6*z - 7 - z**2 - 4 + b + 2.
-(z - 1)*(z + 7)
Let l = 20 - 15. Let o be l*(-2*(0 + -1) + -1). Factor -4*i**4 - 5*i**3 - 23*i**3 + 54*i - 8*i**3 - 2*i**o - 12*i**4.
-2*i*(i - 1)*(i + 3)**3
Suppose -156*m**2 + 76*m**2 - 7 - 130*m + 75*m**2 - 233 = 0. Calculate m.
-24, -2
Let i be (-6)/66*91 + 4 + 6 + -1. Find l, given that -i*l**2 - 6/11*l + 0 = 0.
-3/4, 0
Let p(o) be the third derivative of -o**8/4800 - o**7/4200 + o**6/200 - o**5/75 + 39*o**4/8 - 93*o**2. Let y(s) be the second derivative of p(s). Factor y(d).
-(d - 1)*(d + 2)*(7*d - 4)/5
Suppose -416 = -5*w + p, -1 = 2*p + 1. Suppose 85*d - w*d = 6. Factor -4/5*j**2 + 6/5*j**d + 0 - 2/5*j**5 + 0*j + 0*j**4.
-2*j**2*(j - 1)**2*(j + 2)/5
Let a(t) be the third derivative of t**7/840 - 15*t**6/32 - 227*t**5/240 + 75*t**4/32 + 113*t**3/12 - 2*t**2 - 97*t - 4. Factor a(w).
(w - 226)*(w - 1)*(w + 1)**2/4
Factor -408/13*d + 20808/13 + 2/13*d**2.
2*(d - 102)**2/13
Let m = -314 - -317. Let u(i) be the first derivative of 0*i**m - 1/10*i**4 + 0*i**2 + 0*i + 2/25*i**5 - 2. Factor u(p).
2*p**3*(p - 1)/5
Factor -15*j**3 - 525*j**2 + 705*j**2 + 10*j**3 - 660*j + 640.
-5*(j - 32)*(j - 2)**2
Let x(a) be the second derivative of 1/8*a**4 + 0 - 2*a**3 + 21*a - 1/45*a**5 - 1/1080*a**6 + 0*a**2. Let b(v) be the second derivative of x(v). Factor b(n).
-(n - 1)*(n + 9)/3
Let b(s) = s**3 + 21*s**2 - 17*s - 23. Let o(f) = 8*f**2 - 1. Let k(y) = -3*b(y) + 6*o(y). Factor k(q).
-3*(q - 3)*(q + 1)*(q + 7)
Let o(g) be the third derivative of -1/84*g**8 + 16/3*g**3 - 8/105*g**7 - g**2 + 0*g + 14/15*g**5 + 10/3*g**4 - 1/30*g**6 - 7. Suppose o(c) = 0. What is c?
-2, -1, 2
Let l(s) be the second derivative of -s**8/40320 - s**7/2160 - s**6/540 + s**5/45 - 13*s**4/6 - 65*s. Let c(t) be the third derivative of l(t). Solve c(g) = 0.
-4, 1
Let w(y) be the first derivative of 2*y**5/25 - 81*y**4/5 + 2186*y**3/15 - 1224*y**2/5 - 992*y + 3281. Suppose w(x) = 0. Calculate x.
-1, 4, 155
Let s(b) be the third derivative of -b**6/360 + 3*b**5/20 + 19*b**4/24 + 5*b**3 - 55*b**2. Let d(m) be the first derivative of s(m). What is r in d(r) = 0?
-1, 19
Let a(y) be the first derivative of -y**7/180 - 19*y**6/540 - 2*y**5/45 + y**4/9 + 100*y**3/3 - 24. Let o(j) be the third derivative of a(j). Solve o(n) = 0.
-2, -1, 2/7
Solve 10/13*n + 6/13*n**3 - 18/13*n**2 + 2/13*n**4 + 0 = 0.
-5, 0, 1
Let g(p) = 2*p**3 - 6*p**2 + 6*p + 2. Let q = -1884 - -1881. Let i(m) = 2*m**3 - 5*m**2 + 2 + m**3 - 2*m**3 + 5*m. Let u(t) = q*g(t) + 4*i(t). Factor u(c).
-2*(c - 1)*(c + 1)**2
Let k(l) be the first derivative of 39*l**5/5 + 22*l**4/5 - 191*l**3/15 - 44*l**2/5 - 4*l/5 - 2456. What is c in k(c) = 0?
-1, -2/5, -2/39, 1
Let i(y) be the third derivative of y**6/600 - 11*y**5/300 + 7*y**4/24 - 5*y**3/6 + 255*y**2. Factor i(h).
(h - 5)**2*(h - 1)/5
Let n(t) = 3*t**4 - 14*t**3 + 19*t**2 - 4*t. Let f(c) = 20*c**4 - 85*c**3 + 115*c**2 - 25*c. Let q = -743 - -747. Let g(b) = q*f(b) - 25*n(b). Factor g(a).
5*a**2*(a - 1)*(a + 3)
Let j = -209724 - -209726. Factor 432/5 + 4/5*z**3 + 12*z**j + 288/5*z.
4*(z + 3)*(z + 6)**2/5
Let h be (667/(-58) - -11)*(-2 - 6). What is t in -2/3*t**h + 34/9*t**3 + 28/9*t**2 - 320/9*t + 64/3 = 0?
-3, 2/3, 4
Let v(t) be the first derivative of -39 - 9/5*t**2 - 1/5*t**3 + 3/20*t**4 + 0*t. Factor v(n).
3*n*(n - 3)*(n + 2)/5
Let a(q) be the first derivative of 33/8*q**2 - 192 - 9/4*q - 5/8*q**6 - 5/2*q**3 - 9/8*q**4 + 39/20*q**5. Suppose a(k) = 0. Calculate k.
-1, 3/5, 1
Let p(k) be the second derivative of -107*k + 0 + 0*k**2 - 3/5*k**3 + 11/60*k**4 - 1/100*k**5. Factor p(w).
-w*(w - 9)*(w - 2)/5
Let p(l) be the second derivative of -l**6/10 + 93*l**5/2 - 24637*l**4/4 + 47430*l**3 - 140454*l**2 + l - 652. Factor p(x).
-3*(x - 153)**2*(x - 2)**2
What is o in 2916/11 - 18*o + 2/11*o**2 = 0?
18, 81
Let j(t) be the first derivative of -3*t**4/28 - 249*t**3/7 - 3348*t**2 - 46128*t/7 + 6592. Solve j(r) = 0 for r.
-124, -1
Suppose 2692 + 140971 + 40864 = 853*b - 327273. Factor 540 + b*g + 185/3*g**2 + 5/3*g**3.
5*(g + 1)*(g + 18)**2/3
Suppose 9*x = -25 + 169. Let l(q) be the second derivative of 3*q - x*q**2 + 8/3*q**3 + 0 - 1/6*q**4. Find f, given that l(f) = 0.
4
Suppose x + 21 = 5*n, 2*n + n - 3*x = 15. Let v = 17443 + -17443. Solve 0 + v*y + 0*y**3 + 1/2*y**n - 1/2*y**2 = 0 for y.
-1, 0, 1
Let c(p) be the first derivative of 2*p**3/21 - 25*p**2/7 + 200*p/7 + 3630. Find v, given that c(v) = 0.
5, 20
Let z(m) be the second derivative of -1/5*m**5 + 4 + 0*m**2 - 2*m - 4/3*m**4 - 8/3*m**3. Factor z(k).
-4*k*(k + 2)**2
Let x(n) = -n**3 - 28*n**2 - 52*n - 36. Let u be x(-26). Let r be u + 40 + (-7)/3. Factor 0*c - 5/3*c**5 + 0*c**2 + 0 + 10/3*c**3 + r*c**4.
-5*c**3*(c - 2)*(c + 1)/3
Let i(y) be the second derivative of 9/2*y**3 - 27/20*y**5 + 7/4*y**4 + 5 - 12*y**2 - 9*y + 1/10*y**6. Find p, given that i(p) = 0.
-1, 1, 8
Let q(g) be the third derivative of -g**5/60 + 161*g**4/24 + 163*g**3/3 - 60*g**2 - 4. Solve q(f) = 0 for f.
-2, 163
Let l(h) be the third derivative of 0*h**3 - 1/6*h**5 + 4*h**2 + 0 + 1/105*h**7 - 1/4*h**4 + 2*h - 1/60*h**6. Factor l(w).
2*w*(w - 3)*(w + 1)**2
Let s = -43851 - -131597/3. Factor -s*m**2 + 20/3*m - m**4 + 23/3*m**3 + 0.
-m*(m - 5)*(m - 2)*(3*m - 2)/3
Let f(k) = -k**3 + 18*k**2 + 19*k. Let j be f(19). Let t be ((-6)/(-27) - j) + 12/(-54). Find g such that -4*g**4 + 3*g**3 + 5*g**4 - 4*g + 0*g + t*g = 0.
-2, 0, 1
Let o(z) be the second derivative of 5*z**7/14 + 221*z**6/6 + 1123*z**5/4 - 3795*z**4/4 - 5575*z**3/3 + 2380*z**2 - 9*z - 97. Let o(b) = 0. Calculate b.
-68, -7, -1, 1/3, 2
Let v = 23/792 - -1033/792. Find q such that -v - 10/3*q**2 + 14/3*q = 0.
2/5, 1
Factor 0 + 138/5*b - 3/5*b**2.
-3*b*(b - 46)/5
Let d be (-4)/(-18)*45/10. Let j be d/3 - (-69)/(-345). Factor 2/5 + j*r**3 + 14/15*r + 2/3*r**2.
2*(r + 1)**2*(r + 3)/15
Let d(z) be the first derivative of z**4/6 - 2*z**3/3 - 3*z**2 - 143*z + 70. Let b(h) be the first derivative of d(h). Factor b(s).
2*(s - 3)*(s + 1)
Let s(i) = -5*i**2 - 64*i - 521. Let x = 232 - 228. Let b(q) = -6*q**2 - 64*q - 524. Let p(j) = x*s(j) - 3*b(j). Factor p(c).
-2*(c + 16)**2
Let s(j) be the third derivative of j**6/900 + j**5/25 - 13*j**4/60 - 61*j**3/6 - 71*j**2. Let p(g) be the first derivative of s(g). Factor p(d).
2*(d - 1)*(d + 13)/5
Let t(d) be the third derivative of -235*d**2 + 1/420*d**7 + 0 - 1/40*d**5 - 25/48*d**4 + 3/2*d**3 + 3/80*d**6 + 0*d. Factor t(x).
(x - 1)**2*(x + 2)*(x + 9)/2
Let q(o) be the second derivative of -7/2*o**2 + 25*o - 1/24*o**4 + 0 + 3/4*o**3. Factor q(u).
-(u - 7)*(u - 2)/2
Let s = 271 - 269. Find u such that 0*u**s + 52*u + 19 - 187 - u**2 - 5*u**2 + 2*u**2 = 0.
6, 7
Let u(t) = -t**2 + 7*t - 2. Let o(n) = -5*n**2 + 35*n - 11. Suppose 26 = 3*g + 2*k - 17, -3*k = 3*g - 48. Let q(f) = g*u(f) - 2*o(f). Factor q(d).
-d*(d - 7)
Let v(m) = -10*m**3 + 1945*m**2 - 6560*m - 20680. Let y(z) = -z**3 + 278*z**2 - 937*z - 2954. Let p(w) = -2*v(w) + 15*y(w). Suppose p(j) = 0. What is j?
-59, -2, 5
Let k be (-4)/((6/(-4)*30/(-45))/(-1)). Let n(i) be the second derivative of -1/40*i**5 - 1/24*i**k - 9*i + 1/4*i**2 + 1/12*i**3 + 0. Factor n(p).
-(p - 1)*(p + 1)**2/2
Let x be 7 + -5 - (-4 + 4). Let p be 5 - ((-66)/(-12) - x). Factor u + 1/4*u**4 + 1/4 + p*u**2 + u**3.
(u + 1)**4/4
Let f(i) be the third derivative of -i**6/144 - 379*i**5/24 - 718205*i**4/48 - 272199695*i**3/36 + 1028*i**2. Factor f(a).
-5*(a + 379)**3/6
Let q(i) be the sec