- 5/2*v**4 + 8/5*v**5 - 1/3*v**6. Factor o(m).
-2*m**2*(m - 2)*(m - 1)**2
Let l be (3/36)/(14/(-98)) - 40/(-48). Factor -l*a**3 + 2*a**2 - 4*a + 0.
-a*(a - 4)**2/4
Let r = -6181253/6 - -1030253. Solve 335/6*j**2 - 95/6*j + 55/6*j**4 - r*j**3 - 5 = 0.
-2/11, 1, 3
Suppose -206*l + 203*l = 18. Let m(j) = 4*j**2 - 8*j - 2. Let t(n) = 3*n**2 - 8*n - 3. Let p(c) = l*t(c) + 5*m(c). Factor p(o).
2*(o + 2)**2
Let z(r) be the second derivative of r**4/66 - 116*r**3/33 - 5*r - 14. Let z(h) = 0. Calculate h.
0, 116
Let s be 2/4*-7*29/(8120/(-16)). Solve -11/5*c - s*c**3 + 7/5*c**2 + 1 = 0.
1, 5
Suppose 5*d - 242 = -2*h + 8*d, h = 3*d + 127. Solve 45*i**2 - 61*i**4 + 65*i**4 + 52*i**2 - 136*i + h*i**2 - 80*i**3 = 0 for i.
0, 1, 2, 17
Factor 1595*u**2 - 107 - 163 + 196917*u - 198272*u + 30*u**3.
5*(u - 1)*(u + 54)*(6*u + 1)
Suppose 0 = -o - 2*g - g + 16, 0 = -2*o - g + 12. Suppose y**5 + 2*y**2 + 4*y**4 + 3*y**4 + 4*y**4 + 5*y**3 - 7*y**o = 0. Calculate y.
-2, -1, 0
Let f = 278270 + -1391348/5. Suppose -6/5*b + 2/5 + 6/5*b**2 - f*b**3 = 0. What is b?
1
Let m(l) be the second derivative of 2*l + 6 + 3/2*l**2 + 1/4*l**4 - 17/8*l**3. Factor m(h).
3*(h - 4)*(4*h - 1)/4
Let v(c) = -9*c - 35. Let q be v(-7). Let -15*n + q*n**4 + 0*n**4 + n**4 + 25*n**3 - 10*n**2 - 9*n**4 = 0. What is n?
-1, 0, 3/4
Suppose 0 = -2*r - 3*i + 72, -5*r - i = -192 - 1. Factor -8 - 41*d**4 - 11*d**2 + r*d**4 - 19*d**2 - 21*d - 7*d - 13*d**3.
-(d + 2)**3*(2*d + 1)
Factor -273*w**3 - 585 - 924*w**2 - 2560*w + 2*w**4 + 183*w**3 - 1143.
2*(w - 54)*(w + 1)*(w + 4)**2
Let v be (-1 + -3)/(-2) - (-15 - (-270)/18). Factor -2/3*h**v - 64/3 + 12*h.
-2*(h - 16)*(h - 2)/3
Suppose j - 4 = -4*x - 2, 3*j + 3*x + 30 = 0. Let l be (-21)/j*56/6. What is t in 33*t - 100*t**2 + 18*t**5 + 76*t**3 + 31*t - 28*t**4 - 16 - l*t**5 = 0?
1, 2
Let j(u) be the first derivative of 35/3*u**3 + 25*u - 5/4*u**4 - 55/2*u**2 + 76. Factor j(s).
-5*(s - 5)*(s - 1)**2
Let f(l) be the second derivative of -7*l**4/4 + 1465*l**3/2 - 627*l**2 + 1118*l. Factor f(a).
-3*(a - 209)*(7*a - 2)
Let r(z) = -z**2 + 2*z. Suppose -10 = -3*q - 7. Let c be r(q). Factor 0*f**3 - 9*f + 0 + 3*f**2 + 9*f**3 + c + 3*f**4 - 7.
3*(f - 1)*(f + 1)**2*(f + 2)
Suppose -a - r = -5, -5*r - 13 - 16 = -4*a. Let p(i) be the second derivative of 0 - 8*i**2 - 2*i**4 + 8*i + a*i**3 + 1/5*i**5. Solve p(n) = 0 for n.
1, 4
Let r(j) = -1405*j + 19672. Let u be r(14). Suppose -11/2*a + 1/2*a**u - 6 = 0. What is a?
-1, 12
Suppose 3*g + 40 = g + 4*z, -48 = 3*g - 3*z. Let s be (0 + g/(-70))/((-9)/(-15)). Solve -6/7*c**3 - 4/7*c**2 - s*c**4 + 0 + 0*c = 0.
-2, -1, 0
Suppose 196*i + 43*i = -70*i + 14*i + 7*i. Factor -3/4*t**4 - 9*t**3 + i + 39/4*t**2 + 0*t.
-3*t**2*(t - 1)*(t + 13)/4
Let f(y) be the third derivative of 9 - 1/120*y**5 + 7*y**2 + 1/4*y**4 - 9/4*y**3 + 0*y. Factor f(t).
-(t - 9)*(t - 3)/2
Solve 24335*b - 1067*b**3 + 533*b**3 - 311*b**2 - 24025 + 535*b**3 = 0.
1, 155
Let x be (2 - (-328)/(-60)) + 25/(225/36). Let a(y) be the first derivative of -x*y**2 - 1/30*y**4 - 2/9*y**3 - 24 - 8/15*y. Find d such that a(d) = 0.
-2, -1
Let b(n) be the third derivative of -n**8/672 - n**7/30 - 3*n**6/16 + n**5/3 + 29*n**4/12 - 8*n**3 - 692*n**2 + 3. Suppose b(u) = 0. What is u?
-8, -6, -2, 1
Let c(y) be the third derivative of -11/30*y**4 - 1/1050*y**7 - 1/60*y**6 + y**2 - 2/3*y**3 - 11/100*y**5 + 53*y + 0. Find w, given that c(w) = 0.
-5, -2, -1
Find i, given that 232/7*i - 228/7 - 4/7*i**2 = 0.
1, 57
Let -61/5*w + 1/5*w**2 + 118/5 = 0. Calculate w.
2, 59
Let f be (16 - 10)/(6/2). Let r(n) be the first derivative of -4*n - 2/5*n**5 + 1/2*n**4 + 14 - n**f + 2*n**3. Factor r(i).
-2*(i - 2)*(i - 1)*(i + 1)**2
Suppose 261*b + 5 = -89*b - 164*b + 5. Factor -3/4*k**5 + 0*k + 3/2*k**3 - 3/4*k**4 + 0*k**2 + b.
-3*k**3*(k - 1)*(k + 2)/4
Suppose 4117 = 3*p + 4009. Suppose -p*b + 41 = 5. Let 3*h + b + 5/4*h**2 = 0. Calculate h.
-2, -2/5
Suppose 13934*x = 13871*x. Find u, given that -2/3*u + u**4 + x + 1/3*u**3 - u**2 + 1/3*u**5 = 0.
-2, -1, 0, 1
Let g(u) = u**3 + 25*u**2 - 10*u - 39. Let q(k) = -6*k**3 - 1. Let p = 339 - 340. Let z(r) = p*q(r) - g(r). Suppose z(a) = 0. What is a?
-1, 2, 4
Find q such that -3/4*q**4 + 21/4*q**3 + 9/2*q + 0 - 3/4*q**5 + 39/4*q**2 = 0.
-2, -1, 0, 3
Factor 2928/5*l + 4/5*l**2 + 535824/5.
4*(l + 366)**2/5
Let s(d) = 34*d + 1190. Let h be s(-35). Let w(b) be the second derivative of -1/57*b**3 + h + 1/114*b**4 - 16*b - 2/19*b**2. What is o in w(o) = 0?
-1, 2
Let v be (-64)/6*((-396)/216 + 15/10). Factor -16/9*y + v + 2/9*y**2.
2*(y - 4)**2/9
Let o(u) = 7*u**3 + 176*u**2 + 639*u + 576. Let x(n) = 2*n**3 + 44*n**2 + 158*n + 144. Let r(a) = -2*o(a) + 9*x(a). Factor r(l).
4*(l + 2)*(l + 3)*(l + 6)
Let -212/3*h**3 + 178/3*h**4 + 0 + 0*h + 80/3*h**2 - 46/3*h**5 = 0. Calculate h.
0, 20/23, 1, 2
Let r(t) be the first derivative of 0*t - 1/5*t**4 + 1/25*t**5 - 119 + 1/15*t**3 + 3/5*t**2. Determine g so that r(g) = 0.
-1, 0, 2, 3
Factor -6936903 + 6936903 - 228*c - 26*c**2 + 2*c**3.
2*c*(c - 19)*(c + 6)
Let n = -2951 + 5523/2. Let o = n + 1169/6. Suppose -o*u**2 + 0*u - 16*u**3 - 12*u**4 + 0 = 0. Calculate u.
-2/3, 0
Suppose 3*c + 4*q - 12 - 6 = 0, -c - 3*q = -11. Find y, given that 11*y**2 - 2*y**2 - 3*y**4 - 18*y + 3*y**c + 9*y**2 = 0.
-3, 0, 1, 2
Suppose -8*b = 11 - 11. Factor -219503*l - l**2 + b*l**2 + 219502*l.
-l*(l + 1)
Let u(x) = 36*x**3 - 1450*x**2 - 4525*x - 3061. Let v(g) = 7*g**3 - 290*g**2 - 905*g - 612. Let b(t) = 2*u(t) - 11*v(t). Solve b(f) = 0 for f.
-2, -1, 61
Let y(o) be the third derivative of -1 - 13/15*o**5 + 94*o**2 + o**4 + 4/15*o**6 - 2/105*o**7 + 0*o + 0*o**3. Factor y(f).
-4*f*(f - 6)*(f - 1)**2
Factor -662/3*k - 661/3 - 1/3*k**2.
-(k + 1)*(k + 661)/3
Let v(n) be the third derivative of n**7/630 + 7*n**6/135 + 49*n**5/90 - 67*n**3/6 + 66*n**2. Let o(p) be the first derivative of v(p). Factor o(x).
4*x*(x + 7)**2/3
Let q(y) be the third derivative of -7/3*y**4 + 0 + 0*y + 1/30*y**6 - 11/15*y**5 + 16*y**3 - 104*y**2. Factor q(j).
4*(j - 12)*(j - 1)*(j + 2)
Determine x so that -2231115/2*x - 6675/2*x**2 - 5/2*x**3 - 2224445/2 = 0.
-667, -1
Let x = -442 + 444. Let 382*c - 789*c - 3*c**3 + 395*c - 12*c**x = 0. What is c?
-2, 0
Let q be (-159)/(-371)*(31 + -16 + 6). Find z such that -15/4*z + 1/4*z**3 - 1/2*z**2 + q = 0.
-4, 3
Let r(c) be the second derivative of -21/40*c**5 - 46*c - 3/2*c**3 - 25/16*c**4 - 1/40*c**6 + 2 + 0*c**2. Let r(n) = 0. What is n?
-12, -1, 0
Let v(h) = 209*h - 1041. Let y be v(5). Let m(c) be the second derivative of 0*c**2 + 3/8*c**5 + 5/12*c**y + 3*c + 0 + 0*c**3 - 5/12*c**6. Factor m(s).
-5*s**2*(s - 1)*(5*s + 2)/2
Determine y so that 2622675/7 - 5610/7*y + 3/7*y**2 = 0.
935
Let j(b) be the third derivative of 0*b**6 + 0*b + 0*b**4 + 0 + 0*b**3 + 2/15*b**5 - 33*b**2 - 1/105*b**7. Solve j(f) = 0.
-2, 0, 2
Let d(n) be the second derivative of -29/9*n**3 + 0 - 841/6*n**2 - 1/36*n**4 - 83*n. Factor d(o).
-(o + 29)**2/3
Factor -43110*j - 7190*j**2 - 214245 - 3*j**4 - 320*j**3 + 4048*j - 2*j**4 - 27178*j.
-5*(j + 9)**2*(j + 23)**2
Let q(p) be the third derivative of -p**6/1260 + p**5/60 - 5*p**4/42 + 12*p**3 - 6*p**2 - 10. Let x(t) be the first derivative of q(t). Factor x(h).
-2*(h - 5)*(h - 2)/7
Let o(s) be the second derivative of -1/15*s**6 - 2/3*s**4 + 5*s**2 - 211*s - 2*s**3 + 0 + 3/5*s**5. Suppose o(c) = 0. What is c?
-1, 1, 5
Factor 71*m + m**3 + 25*m + 184*m + 201*m + 584 - 2612 - 38*m**2.
(m - 13)**2*(m - 12)
Suppose 6*q + 69 = 87. Suppose 51*r**2 - q*r**4 - 36*r**2 + 0 - 12 = 0. What is r?
-2, -1, 1, 2
Suppose -i - 381 = -384. Factor -61*w**2 - 4*w + 34*w - 24*w**i + 30 + 36*w**3 + 57*w - 68*w**2.
3*(w - 10)*(w - 1)*(4*w + 1)
Let d(b) be the third derivative of -7/480*b**6 - 20*b**2 - 1/8*b**4 + 0 + 17/6*b**3 + 0*b - 1/10*b**5. Let k(l) be the first derivative of d(l). Factor k(i).
-3*(i + 2)*(7*i + 2)/4
Let h(r) be the second derivative of -5*r**7/63 - 17*r**6/45 + 13*r**5/10 + 17*r**4/2 + 6*r**3 + 704*r + 7. Suppose h(v) = 0. What is v?
-3, -2/5, 0, 3
Let g(z) be the third derivative of 5/2*z**4 + 1/168*z**8 - 8/3*z**3 + 0 - 4*z**2 + 29/60*z**6 - 43/30*z**5 + 5*z - 3/35*z**7. Solve g(r) = 0 for r.
1, 2, 4
Let b = 48169/144678 - -19/48226. Suppose 1323 + b*j**2 - 42*j = 0. Calculate j.
63
Suppose 21 = 3*