) be the first derivative of i(o). Suppose b(v) = 0. What is v?
-13, 1
Let d(f) be the third derivative of f**8/50400 + f**7/4200 + f**6/900 - 7*f**5/6 - 4*f**2 - 1. Let q(v) be the third derivative of d(v). Factor q(x).
2*(x + 1)*(x + 2)/5
Let y(w) = 5*w**3 - 41*w**2 - 52*w + 92. Let c(k) = -51*k**3 + 408*k**2 + 519*k - 918. Let a(u) = 2*c(u) + 21*y(u). Suppose a(d) = 0. What is d?
-2, 1, 16
Let l(t) be the second derivative of t**4/4 + 35*t**3/2 - 171*t**2 - 35*t - 16. Factor l(y).
3*(y - 3)*(y + 38)
Let v(m) be the first derivative of 3/5*m**2 + 15 - 3/10*m**4 + 0*m - 2/25*m**5 + 2/15*m**3. Suppose v(f) = 0. What is f?
-3, -1, 0, 1
Suppose 20 = 7*w - 8. Suppose -3*m + 27 = -w*d, -4*m - 2*d = 3*d - 5. Factor -30*j**2 + m*j**4 + 40*j - 1 - 7 - 7.
5*(j - 1)**3*(j + 3)
Let p(b) = -1943*b - 1938. Let i be p(-1). Let l(f) be the first derivative of 0*f**4 - 1/20*f**i - 1/4*f**2 - 40 + 1/4*f**3 + 0*f. Factor l(s).
-s*(s - 1)**2*(s + 2)/4
Find b such that -79848 + 3*b**2 + 604024 + b**2 - 4174*b + 1278*b = 0.
362
Let m(j) be the second derivative of -j**5/130 + 537*j**4/13 - 1153476*j**3/13 + 1238833224*j**2/13 + 344*j. What is b in m(b) = 0?
1074
Let w(f) = f**2 - 22*f + 85. Let u be w(17). Let s be 0 + (0 - u)/(168/(-56)). Factor -6/7*c + s - 2/7*c**2.
-2*c*(c + 3)/7
Let g(t) be the first derivative of 19 - 96*t + 28/3*t**3 - 164*t**2. Factor g(l).
4*(l - 12)*(7*l + 2)
Let d be 220/560 - 9/(-12). Let c(z) be the second derivative of 1/21*z**4 + 7*z - 4/21*z**3 - d*z**2 + 1/70*z**5 + 0. Determine j, given that c(j) = 0.
-2, 2
Let s be 2*42/(-24)*8/(-14). Suppose 11*h**s + 10 + 14*h**2 - 22*h - 21*h**2 = 0. What is h?
1/2, 5
Let h be (-650)/19250 - (-1)/(-5). Let g = 149/308 + h. Solve g*n - 1/2 + 3/4*n**2 = 0 for n.
-1, 2/3
Let w = 321723 + -321720. Find j, given that w*j**2 + 0 - 15/4*j + 3/4*j**3 = 0.
-5, 0, 1
Let b(h) = -75*h + 8*h**2 - 2*h**2 - 453 + 414. Let a be b(13). Find s such that a*s**2 - 2/7 - 1/7*s**3 + 3/7*s = 0.
-2, 1
Let c(a) = a**2 + 5*a + 3. Let f be c(-5). Let k be f + (-4)/6*15/10. Factor -93*l**2 - 235*l - 533*l - 4*l**3 - 2048 - 3*l**k.
-4*(l + 8)**3
Let h = -1313 + 1320. Let b(s) be the second derivative of -1/21*s**h + 0 + 1/3*s**4 - 1/15*s**6 + 1/5*s**5 - s**2 - 1/3*s**3 + 4*s. Factor b(f).
-2*(f - 1)**2*(f + 1)**3
Let v(i) be the second derivative of 29*i**7/20160 + 31*i**6/5760 + i**5/480 + 2*i**4/3 + i**2/2 - 162*i. Let b(f) be the third derivative of v(f). Factor b(q).
(q + 1)*(29*q + 2)/8
Suppose 116059931*r - 116029121*r + 47462805 - 3*r**2 + 8*r**2 = 0. What is r?
-3081
Solve -79*k - 3*k**2 - 125*k + 321*k + 201*k = 0 for k.
0, 106
Let s be -11 + 3 + -3 - (-35)/(-5). Let q be (s/(-12))/(5/((-100)/(-15))). Factor -28/9*j**3 + 32/9*j**2 + 4/3*j**4 - 2/9*j**5 - q*j + 4/9.
-2*(j - 2)*(j - 1)**4/9
Let g(s) be the third derivative of s**6/280 + 4*s**5/35 + 25*s**4/56 - 3*s**3 + 129*s**2. Factor g(f).
3*(f - 1)*(f + 3)*(f + 14)/7
Let h(o) be the second derivative of -3/2*o**4 + 0*o**2 + 0*o**3 + 0 + o**5 - 214*o - 1/15*o**6. Suppose h(x) = 0. What is x?
0, 1, 9
Let n(j) be the second derivative of 0*j**2 + 0 + 3/4*j**4 - 3/10*j**6 + 0*j**3 - 17*j - 3/20*j**5 + 1/14*j**7. Determine g so that n(g) = 0.
-1, 0, 1, 3
Let x(i) be the third derivative of 0 - 3*i**5 + 0*i - 13/40*i**6 + 0*i**3 - 9/2*i**4 + 244*i**2 - 1/112*i**8 + 1/7*i**7. Factor x(b).
-3*b*(b - 6)**2*(b + 1)**2
Let b(t) be the second derivative of t**5/40 + 3*t**4/8 - t**3 - 5*t**2 - 6452*t. Find r, given that b(r) = 0.
-10, -1, 2
Suppose -4*y + 458 + 462 = 0. Suppose y*d - 72*d - 77*d - 79*d + 2*d**2 = 0. Calculate d.
-1, 0
Let z = 658867 - 658865. What is f in 0 - 27/7*f - 3/7*f**3 - 18/7*f**z = 0?
-3, 0
Find q such that -763/2*q**2 - 15/2*q**4 + 0 + 49*q + 106*q**3 = 0.
0, 2/15, 7
Suppose 36*q**3 + 12*q**3 + 3*q**3 + 3*q**4 + 1350 + 18*q**3 + 12*q**3 - 1845*q + 411*q**2 = 0. Calculate q.
-15, 1, 2
Let l(u) = -48*u**3 + 2568*u**2 - 12*u - 2568. Let y(f) = -7*f**3 + 367*f**2 - 2*f - 367. Let b(v) = 3*l(v) - 20*y(v). Factor b(a).
-4*(a - 91)*(a - 1)*(a + 1)
Let j(b) be the third derivative of b**5/30 - 5*b**4/2 + 176*b**3/3 + 20*b**2 + 5*b - 1. Factor j(g).
2*(g - 22)*(g - 8)
Let f = 775 + -1151. Let w = 378 + f. What is m in 2*m**w + 2/9*m**4 + 4/9 + 14/9*m + 10/9*m**3 = 0?
-2, -1
Let f(n) be the second derivative of n**7/1260 - n**6/108 + n**5/30 - 15*n**3/2 - n**2 + n + 2. Let t(w) be the second derivative of f(w). Factor t(o).
2*o*(o - 3)*(o - 2)/3
Let u(h) = -11*h - 557. Let a be u(-50). Let f be 2/(-11) - a/((-693)/(-480)). Let 4*y**4 + 0*y - f*y**3 + 0 + 2/3*y**2 = 0. Calculate y.
0, 1/6, 1
Factor 346/19*q - 2/19*q**2 + 348/19.
-2*(q - 174)*(q + 1)/19
Determine u, given that 81/2 + 9/4*u - 1/4*u**2 = 0.
-9, 18
Find x such that 15/4*x + 9/2 + 3/4*x**2 = 0.
-3, -2
Let u(g) be the first derivative of 10*g**6/3 + 112*g**5/5 - 7*g**4 - 488*g**3/3 - 104*g**2 + 160*g + 10130. Solve u(t) = 0 for t.
-5, -2, -1, 2/5, 2
Let f(q) be the first derivative of q**5 + 10*q**4 - 45*q**3 - 455*q**2 + 1960*q + 3383. Factor f(x).
5*(x - 4)*(x - 2)*(x + 7)**2
Let g(j) be the first derivative of -2*j**3/27 + 136*j**2/9 + 4395. Factor g(r).
-2*r*(r - 136)/9
Let i(c) be the first derivative of 0*c**3 - 22 + 0*c**2 - 4/3*c**4 + 8*c - 1/5*c**5. Let s(v) be the first derivative of i(v). Factor s(w).
-4*w**2*(w + 4)
Suppose 2*n = -h + 5*h + 166, 2*h = -n + 79. Let 170*p**3 + 120 - 1400 - 1605*p**2 + n*p - 5*p**4 + 410*p + 2229*p = 0. Calculate p.
1, 16
Let u = 1827 + -1822. Let t(f) be the third derivative of 5*f**2 + 1/90*f**u - 1/6*f**4 - 7/9*f**3 + 0*f + 0. Solve t(x) = 0 for x.
-1, 7
Find f, given that -30*f**3 + 11*f**4 + 20*f**2 - 39*f**3 + 4*f**3 - 76*f**4 + 20*f**5 = 0.
-1, 0, 1/4, 4
Let i(f) be the first derivative of -2/3*f**3 - 61 + 26*f**2 - 338*f. Suppose i(b) = 0. What is b?
13
Let f(d) = 162*d + 2595. Let z be f(-16). Determine c so that -169/6*c + 0 - 1/6*c**z - 13/3*c**2 = 0.
-13, 0
Suppose 3*h - 172 = 4*u, 4*u - 103 = -2*h + 9*u. Let l be (h/280)/((-4)/(-10)). Factor 0 - l*z + 2/7*z**2.
2*z*(z - 2)/7
Let f(j) be the second derivative of -j**6/20 + j**5/2 - 9*j**4/8 + 5*j**3/6 - 1666*j. Factor f(z).
-z*(z - 5)*(z - 1)*(3*z - 2)/2
Let l be (9/(-12))/((-1)/24). Let k = 20 - l. Suppose -9*c + 2*c + 4*c - 3*c**k = 0. Calculate c.
-1, 0
Factor 1456/5*z + 1568/5 + 2/5*z**3 - 22*z**2.
2*(z - 28)**2*(z + 1)/5
Let i(v) be the first derivative of 3*v**5/5 - 51*v**4/2 + 373*v**3 - 2142*v**2 + 5292*v + 672. Solve i(d) = 0 for d.
3, 14
Let o(y) = -18*y - 34. Let g be o(-3). Let q(d) = d**3 + d**2 + d - 1. Let t(m) = 15*m**3 + 35*m**2 + 40*m - 20. Let v(j) = g*q(j) - t(j). Factor v(n).
5*n*(n - 4)*(n + 1)
Let q = -423 - -428. Suppose -2*s + q*y + 15 = 0, -48 = 4*s - 2*y - 70. Factor 4/3*x**3 + 2/9*x - 8/9*x**2 - 8/9*x**4 + 2/9*x**s + 0.
2*x*(x - 1)**4/9
Let q(l) be the third derivative of 48*l**4 - 11/5*l**5 + 1/30*l**6 + 0 - 4*l**2 - 512/3*l**3 + 3*l. Factor q(z).
4*(z - 16)**2*(z - 1)
Let p(z) be the first derivative of 9*z**5/5 - 25*z**3/3 + 2*z - 56. Let f(l) = l**3 + 2*l**2 - l. Let o(u) = 35*f(u) + 5*p(u). Solve o(r) = 0.
-1, 2/9, 1
Let s(i) be the first derivative of i**4 - 100*i**3/3 - 164*i**2 - 224*i + 1236. Suppose s(p) = 0. Calculate p.
-2, -1, 28
Let x(m) be the first derivative of 0*m**2 - 2/15*m**5 + 3/5*m**4 - 2/5*m**3 - 137 + 0*m. Factor x(d).
-2*d**2*(d - 3)*(5*d - 3)/15
Let y(c) be the third derivative of -2*c**6/45 + 47*c**5/45 - 92*c**4/9 + 160*c**3/3 + 57*c**2 - 6. Determine x so that y(x) = 0.
15/4, 4
Let r(d) = -6*d - 479. Let n be r(-75). Let b = 265/9 + n. Determine q, given that 0 - b*q**2 + 0*q + 2/9*q**4 + 2/9*q**3 = 0.
-2, 0, 1
Determine w, given that -76/3*w + 448/3 + 1/3*w**3 - 13/3*w**2 = 0.
-7, 4, 16
Let h be (126/504)/(1/8). Let p(f) be the first derivative of -27/7*f - 7 + 15/7*f**h - 1/7*f**3. Let p(q) = 0. What is q?
1, 9
What is o in 64896/7*o + 24/7*o**3 + 309777/7 - 3/7*o**4 + 3978/7*o**2 = 0?
-13, 47
Let u(i) = -60*i**3 + 1133*i**2 - 2097*i + 64. Let v(j) = 2*j**3 + j**2 + j + 4. Let t(h) = -2*u(h) - 6*v(h). Factor t(m).
4*(m - 19)*(m - 2)*(27*m - 1)
Let m(q) be the first derivative of -42*q**5/55 + 103*q**4/22 + 356*q**3/33 - 236*q**2/11 - 48*q/11 + 621. Find i, given that m(i) = 0.
-2, -2/21, 1, 6
Let a = -113549 - -113553. What is 