nd n such that p(n) = 0.
-2, -1, 0
Let v(f) be the third derivative of f**3/6 - 15*f**2. Let b(o) = 2*o**4 + 6*o**3 + 6*o**2 + 2*o - 2. Let c(p) = -b(p) - 2*v(p). Factor c(u).
-2*u*(u + 1)**3
Let -v**4 + 17*v**3 - 157531*v + 78809*v - 56*v**2 + 78774*v = 0. Calculate v.
0, 2, 13
Let j = 14631/5854 - -2/2927. Let p(t) be the third derivative of 0 - j*t**3 + 0*t + 5/6*t**4 - 1/12*t**5 - 12*t**2. Factor p(l).
-5*(l - 3)*(l - 1)
Find n such that 17528*n + 2*n**3 - n**3 + 732*n**2 + 772*n - 216*n**2 + 104188 + 3*n**3 = 0.
-61, -7
Suppose -118/7*f - 94/7*f**2 - 26/7*f**3 - 2/7*f**4 - 48/7 = 0. Calculate f.
-8, -3, -1
Suppose 13*n - 234 = 10*n. Suppose k - 1 - 6 = -w, 0 = 2*k - 6. Factor -n*q**5 - 47*q**5 - 20*q**2 + 158*q**4 - 120*q**3 - 383*q**w.
-5*q**2*(q + 1)*(5*q + 2)**2
Let v(n) be the third derivative of 37*n**5/240 + 13*n**4/96 - 1844*n**2. Suppose v(m) = 0. What is m?
-13/37, 0
Let n(q) be the third derivative of 23*q**7/630 + 71*q**6/180 + q**5/5 - q**4/24 + 25*q**3/3 + 100*q**2. Let z(f) be the second derivative of n(f). Factor z(y).
4*(y + 3)*(23*y + 2)
Let i(g) be the first derivative of g**6/480 + g**5/40 + 3*g**4/32 - 31*g**3/3 + 3*g - 169. Let y(l) be the third derivative of i(l). Factor y(w).
3*(w + 1)*(w + 3)/4
Let i(q) be the third derivative of q**5/20 - q**4/2 - 21*q**3/2 - 221*q**2. Let i(p) = 0. What is p?
-3, 7
Let c(t) = -t**4 + 5*t**3 + 5*t**2 + 1. Let a(z) = -3*z**4 - 123*z**3 + 6929*z**2 - 117077*z + 207650. Let x(n) = -a(n) + 4*c(n). Find o such that x(o) = 0.
2, 47
Let q(t) be the third derivative of t**6/240 - 67*t**5/40 + 204*t**4 + 2601*t**3 - 58*t**2 + 5*t. Factor q(l).
(l - 102)**2*(l + 3)/2
Suppose 4*l - 5*c + 3 = 14, -2*c = -3*l + 3. Let u(w) = 4*w**2 + w. Let i be u(l). Factor -11*r + 0 + 7 - 5*r**3 + i + 26*r.
-5*(r - 2)*(r + 1)**2
Let c(x) = 8*x**3 + 40*x**2 + 302*x + 210. Let a(p) = -15*p**3 - 86*p**2 - 600*p - 419. Let q(j) = -6*a(j) - 11*c(j). Factor q(b).
2*(b + 1)*(b + 3)*(b + 34)
Suppose 20426 - 20321 = 35*l. Let w(u) be the first derivative of 3/2*u - 18 + 5/8*u**2 - 1/12*u**l. Factor w(f).
-(f - 6)*(f + 1)/4
Let n = -38623/2 - -19532. Let a(i) be the first derivative of -1029*i - 18 - 21*i**3 - 3/4*i**4 - n*i**2. Let a(z) = 0. What is z?
-7
Let o(t) be the first derivative of 2/15*t**5 + 10/3*t**4 - 220/3*t**2 + 48 + 52/3*t**3 + 242/3*t. Suppose o(m) = 0. What is m?
-11, 1
Suppose -28 = -2*a - 3*b - b, -a = b - 7. Let k(o) be the second derivative of -1/3*o**4 + 16*o**2 + a - 19*o + 4/3*o**3. Factor k(u).
-4*(u - 4)*(u + 2)
Solve -1/3*w**2 - 62/3 - 11*w = 0 for w.
-31, -2
Suppose -o = -4*q + 20, 0 = -2*o + 4*q - 9*q - 66. Let y be (-315)/(-90)*(-6)/o. Find b, given that -y*b**3 + 0*b + 0 - 3/4*b**2 = 0.
-1, 0
Factor 0*b**3 - 200*b + 133*b**2 - 182*b**2 - b**3 + 118*b**2 - 22 + 154.
-(b - 66)*(b - 2)*(b - 1)
Find f, given that 3*f + 2*f - 9700*f**3 + 1182*f**2 + 9697*f**3 - 5*f = 0.
0, 394
Let u(z) be the second derivative of z**5/100 - 7*z**4/30 + z**3/30 + 78*z**2/5 - 6802*z. Factor u(q).
(q - 13)*(q - 4)*(q + 3)/5
Let -2272*m + 1288 + 2975*m**2 + 2880*m**2 + 370 - 5*m**3 - 1703*m**2 - 3533*m = 0. Calculate m.
2/5, 1, 829
Let o be (4 - -2) + -3 - -20. Suppose -o*g + 21*g = -36. Solve -10 + 4*x**5 + 12*x - 16*x**3 + g*x**2 - 10*x**2 + 2 = 0.
-2, -1, 1
Let r(u) be the third derivative of 1/270*u**5 + 5*u**2 + 0*u + 1/18*u**4 + 1 + 5/27*u**3. Factor r(a).
2*(a + 1)*(a + 5)/9
Let k(g) be the first derivative of -7*g**2 - 175 + 20*g + 2/3*g**3. Factor k(r).
2*(r - 5)*(r - 2)
Suppose -4*l = -2*l - 10, -5*z + 3*l = -10. Suppose -2*b - z*p = 15, -4*b + 3*b + 4*p = -25. Find h such that 9*h**2 - b*h**2 + 0 + 0 - 4*h**3 = 0.
0, 1
Let v be (-57*2/8)/((-75)/(-400)). Let c be (-72 - v) + (1 - 5). Factor 0 + c*k**2 - 1/2*k**3 + 0*k + 1/2*k**4.
k**3*(k - 1)/2
Let d(w) be the first derivative of -42*w + 45/2*w**2 - 45/4*w**4 + 3/5*w**5 + 13*w**3 + 159. Solve d(q) = 0.
-1, 1, 14
Let x be ((-71)/((-1278)/24))/(4/15). Let o(a) be the first derivative of 0*a**2 - a**4 + 1/2*a**x - 1/12*a**6 + 2/3*a**3 - 3 + 0*a. Solve o(q) = 0.
0, 1, 2
Suppose 3*w + 2*f = 8*w - 17, 0 = -2*w - 5*f + 1. Factor 0*z - 17*z**3 + 1 - 5*z**2 + 25*z**w + 3*z + 4*z**4 - 11*z**3.
(z - 1)**2*(z + 1)*(4*z + 1)
Let g(k) be the first derivative of -4*k**3/15 + 330*k**2 + 3304*k/5 - 2744. Find s, given that g(s) = 0.
-1, 826
Let h = -1404740 + 1404742. Factor -5/4*f**h + 21/4*f + 5.
-(f - 5)*(5*f + 4)/4
Suppose -8*d + 10 = -30. Factor 20*f**3 - d*f + 32*f**2 + 4*f**4 - 4824 + 22*f - f + 4824.
4*f*(f + 1)*(f + 2)**2
Let 608/11*a - 1328/11*a**2 - 96/11 - 478/11*a**4 + 70/11*a**5 + 1200/11*a**3 = 0. Calculate a.
2/5, 3/7, 2
Factor -81710*u**3 + 2*u**2 + 81681*u**3 + 80 + 27*u**2 + u**5 + 136*u - u**4.
(u - 4)**2*(u + 1)**2*(u + 5)
Let p be 5409/12020*4/3. Let d(i) be the first derivative of -22 + 0*i**2 - p*i**5 + 9/4*i**4 - 3/2*i**6 + 0*i + i**3. Suppose d(n) = 0. Calculate n.
-1, -1/3, 0, 1
Factor 0 - 145/2*u**3 + 5/2*u**4 + 0*u + 0*u**2.
5*u**3*(u - 29)/2
Let c be 8/(-96)*-34 - (-10)/(-12). Let p(r) be the first derivative of -15*r - 5/4*r**4 + 8 - 5/3*r**3 + 25/2*r**c. Factor p(g).
-5*(g - 1)**2*(g + 3)
Let n = 23 + 8. Let u = 33 - n. Factor 24*r**3 + 4 - 20*r**3 - 4*r**u - 4*r + 0*r.
4*(r - 1)**2*(r + 1)
Let s = -176182 - -176186. Let 0 + 3*f**3 - 4*f - 4/5*f**2 + 8/5*f**s + 1/5*f**5 = 0. Calculate f.
-5, -2, 0, 1
Let z(n) be the first derivative of -2/9*n**3 + 4/3*n**2 - 13 - 3*n - 1/9*n**4. Let o(y) be the first derivative of z(y). Solve o(f) = 0.
-2, 1
Let f be 87/((9282/(-1105))/(-1 + (-2)/(-10))). Factor f*d**2 + 1/7*d**3 + 0 + 841/7*d.
d*(d + 29)**2/7
Let d(i) be the second derivative of -60*i**2 - 131/6*i**4 + 0 + 536/9*i**3 - 197*i - 3/10*i**5. Solve d(p) = 0.
-45, 2/3
Let m(f) be the second derivative of -f**5/100 - 13*f**4/60 - 11*f**3/15 - 579*f. What is o in m(o) = 0?
-11, -2, 0
Let y = -40 + 571. Suppose -4*o + y = 5*o. Factor 3*n + 8*n + o*n**2 + n - 38*n**2.
3*n*(7*n + 4)
Find u such that u**4 + 8*u + 20/3*u**2 - 22/3*u**3 + 0 = 0.
-2/3, 0, 2, 6
Let p(r) be the second derivative of -85*r - 1/36*r**4 - 5/18*r**3 + 0 - r**2. Factor p(y).
-(y + 2)*(y + 3)/3
Solve 104*g**3 + 660*g**3 - 2016 + 456*g**2 - 1383*g + 12*g**4 - 2136*g - 351*g + 814*g = 0.
-63, -2, -2/3, 2
Let w = 4911 - 4911. Let b(l) be the third derivative of 0*l**4 - 10*l**2 + w + 0*l**5 - 1/24*l**6 - 5/168*l**8 - 1/14*l**7 + 0*l**3 + 0*l. Solve b(o) = 0.
-1, -1/2, 0
Factor 400*h**2 + 0 - 520/3*h**3 + 43/3*h**4 - 1/3*h**5 + 0*h.
-h**2*(h - 20)**2*(h - 3)/3
Let h be 13 - 9 - (1932/(-220) - -4). Let a = h + -57/11. Suppose 6/5 - 3/5*v**5 - 42/5*v**3 + 48/5*v**2 + a*v**4 - 27/5*v = 0. What is v?
1, 2
Let q(u) be the second derivative of -u**4/60 + 32*u**2/5 - 2*u + 412. Factor q(d).
-(d - 8)*(d + 8)/5
Let i(k) be the third derivative of 0 - 1/30*k**6 - 28/9*k**3 + 0*k - 11/6*k**4 - 23/45*k**5 + 2/315*k**7 - 173*k**2. Solve i(u) = 0.
-2, -1, 7
Factor -7/4*s**4 + 9/2*s**2 + 27/4*s - 27/4 - 1/4*s**5 - 5/2*s**3.
-(s - 1)**2*(s + 3)**3/4
Let b(z) be the first derivative of 2*z**3/39 - 6*z**2/13 + 16*z/13 - 3430. Factor b(d).
2*(d - 4)*(d - 2)/13
Determine v, given that 97 - 4*v**4 - 61 + 7*v - 36 + 9*v + 16*v**2 - v**5 = 0.
-2, 0, 2
Let f(b) be the second derivative of b**4/3 + 438*b**3 - 2636*b**2 - 5840*b. Let f(u) = 0. Calculate u.
-659, 2
Let l(m) be the third derivative of m**7/560 - 11*m**6/320 + 27*m**5/160 - 25*m**4/64 + m**3/2 - 330*m**2 + 2. Solve l(x) = 0.
1, 8
Let d(c) = -10*c**3 + 251*c**2 - 159*c + 3352. Let n be d(25). Let m = -1200 + 6028/5. Solve -m*u**3 + 0 + 0*u - 8/5*u**n = 0.
-2/7, 0
Suppose -14850*y - 15297/2*y**2 - 29403/4 - 150*y**3 - 3/4*y**4 = 0. Calculate y.
-99, -1
Let l(n) be the second derivative of 5*n**4/12 + 660*n**3 + 392040*n**2 - 3*n + 280. Find u, given that l(u) = 0.
-396
Suppose 0 = -q - 4*z + 198, 4*q + 2*z = 6*z + 692. Determine o so that 287 - 82 + q + 5*o**2 + 130*o + 462 = 0.
-13
Let k(q) be the third derivative of 12/5*q**5 - 2*q**2 + 2048*q**3 + 49 + 1/40*q**6 + 96*q**4 + 0*q. Factor k(l).
3*(l + 16)**3
Let i = -3938 - -3940. Let r(c) be the first derivative of 1/2*c - 3 - 5/8*c**i - 7/12*c**3. Find j such that r(j) = 0.
-1, 2/7
Suppose -28 - 22 = -25*j. Let 29*f**2 - 6606*f + 6622*f + 15*f**j + 10*f**3 = 0. What is f?
-4, -2/5, 0
Su