2. Let w(b) = -1 - 2843*b + 2843*b + b**2. Let n(s) = -o(s) + 10*w(s). Factor n(h).
-2*(h + 10)**2
Let v(l) be the second derivative of -l**6/15 + 79*l**5/10 - 1085*l**4/6 + 4949*l**3/3 - 6174*l**2 + 12341*l. Let v(h) = 0. What is h?
2, 7, 63
Suppose -4*h + 28 = -2*w, -w - 8 = -4*h + 3*h. Suppose -h*t + 52 = -2*t. Factor 4*o + o - 13 + t + 5*o**2.
5*o*(o + 1)
Suppose -4*c - 22 = 7*c. Let g be (4 - (-48)/(-11))*c. Suppose 0 - 2/11*x**5 + 8/11*x**2 - 2/11*x - 12/11*x**3 + g*x**4 = 0. What is x?
0, 1
Let w(v) be the second derivative of v**7/2520 + v**6/270 - v**5/360 - v**4/18 - 5*v**3 + 10*v - 1. Let b(c) be the second derivative of w(c). Factor b(s).
(s - 1)*(s + 1)*(s + 4)/3
Let w(x) be the first derivative of 17 + 57/4*x**4 - 33*x**3 - 9/5*x**5 + 27/2*x**2 + 0*x. Determine o, given that w(o) = 0.
0, 1/3, 3
Let m be -2*132/(-104) + -3 - (-33284)/10205. Factor 0*j - m*j**3 + 16/5*j**2 + 0 - 2/5*j**4.
-2*j**2*(j - 1)*(j + 8)/5
Let i = -24655/572 + 1971/44. Let -10/13*q - 4/13 - 8/13*q**3 + i*q**2 = 0. What is q?
-1/4, 1, 2
Let v(m) = 4*m**3 + 11*m**2 - 1317*m - 378. Let n(c) = -10*c**3 - 23*c**2 + 2634*c + 744. Let s(z) = -4*n(z) - 7*v(z). What is g in s(g) = 0?
-11, -1/4, 10
Let l = -5172 + 5174. Let j(q) be the first derivative of 0*q + 1/6*q**4 + 1/6*q**2 - 1/30*q**5 - 5/18*q**3 + l. Factor j(s).
-s*(s - 2)*(s - 1)**2/6
Suppose 0 + 48*w**2 - 102/5*w**3 + 3/5*w**5 + 0*w - 3*w**4 = 0. Calculate w.
-5, 0, 2, 8
Let f be (944/(-1652))/(8/(-21)). Factor -3/2*d**3 + 1/2*d**2 - 1/2*d**4 + f*d + 0.
-d*(d - 1)*(d + 1)*(d + 3)/2
Let u(o) be the first derivative of o**6/3420 + 23*o**5/570 + 529*o**4/228 + 31*o**3/3 - 106. Let b(x) be the third derivative of u(x). Factor b(g).
2*(g + 23)**2/19
Let m(h) = 9*h**2 - 131*h + 465. Let b be m(6). Factor -184/7*q**2 + 18/7*q**b + 0 + 40/7*q.
2*q*(q - 10)*(9*q - 2)/7
Let w = 1203/70 - 99/10. Let k = -146/21 + w. Determine d so that -4/3*d + 0 + k*d**2 = 0.
0, 4
Let 5757*q**2 + 5760*q**2 + 984*q - 11513*q**2 - 403 - 585 = 0. What is q?
-247, 1
Let z(l) be the third derivative of l**5/30 - 9*l**4 - 356*l**2 - 1. Factor z(j).
2*j*(j - 108)
Let i = 1226880 - 2453759/2. Find o such that -3/2 - i*o**2 + 2*o = 0.
1, 3
Let t be 3 + 125/(-45) + (-758)/9. Let o = t + 99. Solve -15*v**2 - 145*v + o*v**4 + 155*v - 5*v**3 + 0*v**3 - 5*v**5 = 0.
-1, 0, 1, 2
Let t(s) = s**2 + 13*s - 26. Let r be ((-30)/12 - -3)*12. Let h(x) = 14*x - 28. Let n(c) = r*h(c) - 4*t(c). Solve n(v) = 0.
4
Find q such that 216*q**5 - 148*q**5 - 264*q**4 - 296*q**2 + 958*q**3 + 24*q - 140*q**5 = 0.
-6, 0, 1/6, 2
Let q be (2 - 0)/((-67)/(-6) + -11). Let v(y) = -2*y + 27. Let i be v(q). Factor 0*f**2 + 6/5*f + 4/5 - 2/5*f**i.
-2*(f - 2)*(f + 1)**2/5
Let q = -359 - -376. Suppose 124*a - 120*a = -5*u - q, 5*a - 5 = -u. Factor -6/11*w + 8/11 - 2/11*w**a.
-2*(w - 1)*(w + 4)/11
Let v(l) be the third derivative of -l**5/690 + 379*l**4/46 - 2273*l**3/69 + 23*l**2 - 3*l - 7. Factor v(c).
-2*(c - 2273)*(c - 1)/23
Solve -139*l + 150 + 1891790*l**2 - 1891785*l**2 + 54*l = 0.
2, 15
Let n(d) be the third derivative of 0 + 0*d + 0*d**4 + 0*d**3 + 1/60*d**5 - 42*d**2. Solve n(l) = 0 for l.
0
Let l = 247 + -208. Solve 2*m + l + m**5 - m - 39 - 2*m**3 = 0.
-1, 0, 1
Factor 5*c**2 - 152/5*c + 12/5.
(c - 6)*(25*c - 2)/5
Let d = 2435 - 2433. Let p(v) be the first derivative of 5/21*v**3 - 1/7*v + 2 + 2/7*v**d. Factor p(q).
(q + 1)*(5*q - 1)/7
Let t(w) = -80*w**2 + 237*w + 29. Let v(u) be the third derivative of 22*u**5/3 - 163*u**4/3 - 80*u**3/3 + 145*u**2. Let y(h) = -28*t(h) - 5*v(h). Factor y(a).
4*(a - 3)*(10*a + 1)
Let r = -5955/169 + 48445/1183. Find i such that -32/7 - r*i**2 + 68/7*i + 4/7*i**3 = 0.
1, 8
Determine p, given that 81*p**2 - 3528 + 114*p - 42*p**2 - 41*p**2 + 54*p = 0.
42
Let w be ((-5)/15)/(584/195 + -3). Let m be (-3)/(-840)*w - 2/(-14). Factor m - 3/8*t**5 - 9/8*t**4 + 9/8*t + 3/4*t**2 - 3/4*t**3.
-3*(t - 1)*(t + 1)**4/8
Let x = -1062572913943/3653 - -290876795. Let s = -16/281 + x. Solve 20/13*z**2 + 64/13 - s*z - 2/13*z**3 = 0.
2, 4
Let o(m) be the third derivative of -m**7/70 + 9*m**6/40 - 27*m**5/20 + 31*m**4/8 - 6*m**3 + 1146*m**2. Factor o(s).
-3*(s - 4)*(s - 3)*(s - 1)**2
Let l be 2/(-19) - (-22916)/96045. Factor 2/15*k**4 - 2/15*k**3 - 2/15*k**2 + 0*k + 0 + l*k**5.
2*k**2*(k - 1)*(k + 1)**2/15
Suppose 0 = -5*o - 3*g - 8, -15*o - 4*g = -16*o + 26. Let x(c) be the first derivative of -5/12*c**3 - 1/4*c**4 - 1/20*c**5 + 0*c - 17 - 1/4*c**o. Factor x(m).
-m*(m + 1)**2*(m + 2)/4
Let j = -669 + 669. Factor 1 - 20*m**2 + 10*m**3 + 5*m**4 - 3*m - 7*m + 14 + j*m.
5*(m - 1)**2*(m + 1)*(m + 3)
Let c(n) be the first derivative of -n**6/6 + 3*n**5/5 + n**4/4 - n**3 - 656. Solve c(g) = 0 for g.
-1, 0, 1, 3
Suppose -3*d + 0*d = -9. Let r = 9 - -14. Factor -4*h**3 - 23*h**4 + r*h**d + 28*h**4 - 9*h**3 + 5*h**2.
5*h**2*(h + 1)**2
Let t(d) = 37*d - 1845. Let q be t(50). Let k(b) be the third derivative of -35/144*b**4 + 0*b + 42*b**2 + 1/144*b**6 + 0 - 5/9*b**3 - 1/36*b**q. Factor k(r).
5*(r - 4)*(r + 1)**2/6
What is f in -44*f**2 + 3*f**5 + 27*f**4 - 76*f**2 - 49*f + 472 + 18*f**2 + 42*f**3 - 397 + 4*f = 0?
-5, -1, 1
Suppose 154 = -37*p + 339. Suppose 0*n**2 + 6/5*n**3 - 2/5*n**p + 0*n - 4/5*n**4 + 0 = 0. What is n?
-3, 0, 1
Let h = 408265 - 408263. Factor 16/5*y - 2/5*y**h + 18/5.
-2*(y - 9)*(y + 1)/5
Let c = 3518/9 + -390. Let d = -11172 + 100558/9. Find n such that -d - 4/3*n**3 + 2/9*n**4 + 4/3*n + c*n**2 = 0.
-1, 1, 5
Let h be 504/432 + 10/12. Let v(c) = 8*c**2 + 164*c - 3362. Let q(k) = 5*k**2. Let p(b) = h*q(b) - v(b). Solve p(l) = 0 for l.
41
Let v(x) be the first derivative of 66 + 8*x**3 - 28/5*x**5 - 2*x**6 + 4*x + 10*x**2 - 2*x**4. What is o in v(o) = 0?
-1, -1/3, 1
Let w be ((-2364)/156 - -15)*4/(-8)*6. Let s(b) be the first derivative of 1/26*b**4 + w*b**3 + 25 - 50/13*b + 15/13*b**2. Let s(g) = 0. What is g?
-5, 1
Let o(w) = 10*w - 118. Let k be o(12). Let y(q) be the second derivative of 0*q**4 + 0*q**k + 0*q**3 - 10*q + 1/50*q**5 + 0. Factor y(j).
2*j**3/5
Let l = 379/9 + -1489/36. Let g(u) be the first derivative of -l*u**4 - 75*u - 105/2*u**2 - 11*u**3 - 13. Factor g(a).
-3*(a + 1)*(a + 5)**2
Solve -76/5 - 1258/5*j + 14*j**3 + 1264/5*j**2 = 0.
-19, -2/35, 1
Let v(k) = -6*k**3 + 34*k**2 + 86*k - 122. Let o(s) = -s**3 + s**2 - 3*s - 1. Let m(l) = 2*o(l) - v(l). Factor m(p).
4*(p - 10)*(p - 1)*(p + 3)
Suppose 3*z = -2*z - 0*z. Let v = 3 + z. What is r in -12*r**2 + 29*r - 55*r - 4*r**v + 26*r = 0?
-3, 0
Let s(f) be the first derivative of -2*f**3/21 - 73*f**2/7 - 680*f/7 - 4853. Factor s(l).
-2*(l + 5)*(l + 68)/7
Let d(x) = -3*x**3 + 333*x**2 + 318*x - 18. Let o(k) = -k**3 + 166*k**2 + 159*k - 8. Let h(g) = 4*d(g) - 9*o(g). Let h(l) = 0. Calculate l.
-53, -1, 0
Find b such that 24*b - 42/5*b**3 - 9/5*b**2 + 3/5*b**4 + 84/5 = 0.
-1, 2, 14
Suppose -225*i + 16316 = 211*i - 12309 - 25439. Factor -i*p - 2/3*p**2 - 5766.
-2*(p + 93)**2/3
Let j(d) be the third derivative of 0 + 0*d**3 + 1/45*d**6 + 1/504*d**8 - 140*d**2 - 2/105*d**7 + 0*d + 1/15*d**5 - 5/36*d**4. Find c such that j(c) = 0.
-1, 0, 1, 5
Let s be (((-64)/156)/(-8))/((-140)/(-1820)). Factor 0 - 2/3*f - s*f**2.
-2*f*(f + 1)/3
Let m = 149 + -150. Let q(h) = h**3 + h**2 + 1. Let g(i) = 5*i**3 + 7*i**2 + 3. Let k(f) = m*g(f) + 3*q(f). Determine c so that k(c) = 0.
-2, 0
Let z(v) = 10*v**2 - 381*v + 9207. Let t(a) = -32*a**2 + 1142*a - 27618. Let s(j) = 3*t(j) + 10*z(j). Factor s(c).
4*(c - 48)**2
Solve -92*h**3 + 256*h - 204574382 + 6*h**4 + 204574382 + 320*h**2 = 0 for h.
-2/3, 0, 8
Let d(r) be the third derivative of r**6/840 + r**5/420 - 19*r**4/56 + 45*r**3/14 - 542*r**2. Find m such that d(m) = 0.
-9, 3, 5
Let s = 2501280468366774/43211 + -57885271534. Let z = 2/6173 + s. Let -16/7*t**4 + 4*t**3 + 4/7 - 22/7*t + z*t**2 = 0. Calculate t.
-1, 1/4, 1/2, 2
Let q(o) be the second derivative of o**5/20 - 11*o**4/12 + 17*o**3/3 - 12*o**2 + 4*o - 173. Find u, given that q(u) = 0.
1, 4, 6
Solve 99*u**5 + 38*u**4 + 6652*u + 507*u**4 - 745*u**2 + 695*u**3 - 24*u**5 - 6502*u = 0.
-5, -3, 0, 1/3, 2/5
Let u(d) = -35 + 42*d + 54 - 101. Let m be u(2). Factor 8/3*b - 2 - 2/3*b**m.
-2*(b - 3)*(b - 1)/3
Let m(x) be the third derivative of x**6/660 - 13*x**5/330 + 47*x**4/132 - 35*x**3/33 - 5433*x**2. 