 a(l) = 0.
-4, 0
Suppose -6*p - 3*i - 15 = -2*p, -3*i = 15. Let o = 6488 + -45414/7. Factor o*q + p + 2/7*q**2.
2*q*(q + 1)/7
Let o be 8300/747*2/16. Let s(b) be the second derivative of 15*b - o*b**4 - 5/2*b**3 - 5/3*b**2 + 0 - 1/4*b**5. Solve s(n) = 0.
-2, -1, -1/3
Let c(w) be the first derivative of w**8/168 - 2*w**7/21 + 37*w**6/60 - 2*w**5 + 3*w**4 + w**2/2 + 47. Let y(k) be the second derivative of c(k). Factor y(g).
2*g*(g - 3)**2*(g - 2)**2
Let v be (1 - -1)/((-14)/(-28)). Let k(m) be the first derivative of m**3 - 3/4*m**v - 1 + 9*m + 15/2*m**2. What is j in k(j) = 0?
-1, 3
Let k(x) be the second derivative of 3*x**5/20 - 73*x**4/12 + 109*x**3/3 - 84*x**2 + 2*x - 351. Find o such that k(o) = 0.
4/3, 2, 21
Suppose 193 - 103 = 30*l. Find x, given that -2/3*x**2 + 4 + 1/3*x**l - 11/3*x = 0.
-3, 1, 4
Let s(q) be the third derivative of -q**7/630 + 7*q**6/60 - 2*q**5/3 - q**4/8 - 5*q**3/6 + 9*q**2. Let p(r) be the second derivative of s(r). Factor p(n).
-4*(n - 20)*(n - 1)
Let m(b) be the first derivative of -b**6/39 - 24*b**5/65 - 35*b**4/26 + 24*b**3/13 + 180*b**2/13 + 4340. Let m(y) = 0. What is y?
-6, -5, -3, 0, 2
Determine m, given that 7168/5*m + 304/5*m**2 + 4/5*m**3 + 49152/5 = 0.
-32, -12
Let y(h) be the third derivative of 0*h**3 - 89*h**2 + 1/70*h**5 + 1/2205*h**7 + 0 - 1/210*h**6 - 1/63*h**4 + 0*h. Find u such that y(u) = 0.
0, 1, 4
Let m(g) = 390*g**3 + 1950*g**2 + 1880*g - 3945. Let a(v) = -47*v**3 - 244*v**2 - 235*v + 493. Let q(y) = -25*a(y) - 3*m(y). Factor q(c).
5*(c - 1)*(c + 2)*(c + 49)
Let l = -70 - -96. Factor -45*f - l*f + 4*f**2 + 40 + 43*f.
4*(f - 5)*(f - 2)
Let k(m) = -28*m + m**2 - 27 + 29 - 36 - 46. Let v(t) = 15*t**2 - 475*t - 1360. Let z(f) = -35*k(f) + 2*v(f). Solve z(i) = 0 for i.
-2, 8
Let z = -123 + 126. Let w be (-10 + 4 + -6)/(20/(-2)). Suppose 21/5*g**2 + 3*g**4 + w*g + 3/5*g**5 + 27/5*g**z + 0 = 0. What is g?
-2, -1, 0
Let y = -91249 + 91252. Determine a, given that -33/4*a + 3/2*a**y - 15/4*a**2 - 3 = 0.
-1, -1/2, 4
Let f = 70934 + -70931. Suppose 0 - 2/5*z**f - 12/5*z**2 - 16/5*z = 0. Calculate z.
-4, -2, 0
Let j(p) be the third derivative of -p**7/840 + 3*p**6/20 - 249*p**5/40 + 297*p**4/4 - 3267*p**3/8 + 438*p**2. Factor j(c).
-(c - 33)**2*(c - 3)**2/4
Let q(i) = -16*i**3 - 2234*i**2 - 2177*i - 537. Let s(p) = 16*p**3 + 2232*p**2 + 2184*p + 540. Let f(m) = -4*q(m) - 5*s(m). Factor f(z).
-4*(z + 138)*(2*z + 1)**2
Let c(y) = y**3 - 72*y**2 - 630*y - 11. Let l(h) = -82*h - 1. Let r(a) = -2*c(a) + 22*l(a). Suppose r(d) = 0. What is d?
0, 4, 68
Let u(x) be the third derivative of -x**6/40 - 191*x**5/30 + 32*x**4/3 + 10*x**2 - 2*x + 7. Factor u(r).
-r*(r + 128)*(3*r - 2)
Let f(j) be the second derivative of -j**5/10 - 185*j**4/6 + 62*j**3 - 3*j - 407. Solve f(m) = 0.
-186, 0, 1
Let s(i) be the first derivative of 21/8*i**2 + 5/2*i + 1/16*i**4 - 69 + i**3. Factor s(h).
(h + 1)**2*(h + 10)/4
Let d(h) be the third derivative of -2*h**7/525 - 11*h**6/75 + 133*h**5/75 - 31*h**4/15 - 144*h**3/5 + 2*h**2 + 48*h + 6. Solve d(l) = 0 for l.
-27, -1, 2, 4
Let q(j) be the first derivative of -j**6/60 - 3*j**5/40 + 24*j + 99. Let s(c) be the first derivative of q(c). Factor s(v).
-v**3*(v + 3)/2
Suppose 2350*o = 2315*o + 70. Factor -84/5 + 16/5*z + 4/5*z**o.
4*(z - 3)*(z + 7)/5
Suppose 36/11*c**2 + 130/11*c + 0 + 2/11*c**3 = 0. What is c?
-13, -5, 0
Let n = 124652 - 1494967/12. Let s = n - 427/6. Factor 1/4*t**4 + 0 + 1/4*t**3 - 1/4*t**2 + 0*t - s*t**5.
-t**2*(t - 1)**2*(t + 1)/4
Let f = -9402 + 9402. Let s(n) be the second derivative of -2*n + f - 1/10*n**6 - 1/4*n**4 + 0*n**3 + 0*n**2 + 3/10*n**5. Factor s(b).
-3*b**2*(b - 1)**2
Let x = -467 - -469. Let q be x - 5*16/40. Find b such that 4/9*b**2 + 2/3*b + q*b**4 - 4/9 + 2/9*b**5 - 8/9*b**3 = 0.
-2, -1, 1
Let o(i) be the second derivative of i**7/56 - 7*i**6/40 + 21*i**5/40 - i**4/2 - 12*i - 103. Solve o(v) = 0.
0, 1, 2, 4
Let n = 48598/5 + -9719. Let n*g**2 - 114/5*g + 1083/5 = 0. Calculate g.
19
Suppose 203748 + 3*f**3 - 204324 - 124*f - 374*f + 81*f**2 = 0. What is f?
-32, -1, 6
Suppose 545 = -78*r - 591 + 1370. Let m be 4/(-2) + 54/9. Suppose -2/3*v**2 + 2/3*v**m + 0*v + 0 + 0*v**r = 0. What is v?
-1, 0, 1
Factor -1022*k + 21316/11 - 2/11*k**3 + 296/11*k**2.
-2*(k - 73)**2*(k - 2)/11
Let u(c) be the first derivative of 2*c**3/33 - 598*c**2/11 - 2400*c/11 + 8056. Suppose u(f) = 0. Calculate f.
-2, 600
Let i be (0/(-2))/1*27/(-81). Suppose -34 = -7*q - 10*q. What is b in 0 + i*b - 2/5*b**q + 0*b**3 + 2/5*b**4 = 0?
-1, 0, 1
Let s = 128523/127 + -1012. Let l = 259/635 + s. Find n such that 2/5*n**4 - l*n**3 + 0 - 8/5*n**2 + 8/5*n = 0.
-2, 0, 1, 2
Let j(f) be the third derivative of f**6/1380 - 4*f**5/69 - 41*f**4/276 - 914*f**2. Factor j(v).
2*v*(v - 41)*(v + 1)/23
Let l(u) be the first derivative of u**4/4 - u**3/2 + 57*u - 49. Let y(j) be the first derivative of l(j). Factor y(v).
3*v*(v - 1)
Let f(p) be the second derivative of 45/2*p**2 - 4*p - 1/6*p**6 - 65/3*p**3 + 10*p**4 - 3/2*p**5 + 0. Find l such that f(l) = 0.
-9, 1
Let m(p) = -p**3 + 16*p**2 - 9*p + 146. Let s be m(16). Factor -i**5 + 170*i**s - 6*i + 4*i**3 + 3*i**4 - i**3 - 177*i**2.
-i*(i - 3)*(i - 2)*(i + 1)**2
Let f(z) be the second derivative of -z**5 + 158/75*z**6 - 83/15*z**4 + 2/3*z**3 + 8/21*z**7 + 0 + 222*z + 8/5*z**2. Solve f(i) = 0.
-4, -1, -1/5, 1/4, 1
Suppose -4074*l + 5*l**2 + 65 + 107*l**2 - 181 + 830*l = 0. Calculate l.
-1/28, 29
Let x(s) be the third derivative of -s**8/4200 + s**6/900 + 40*s**3/3 + 67*s**2. Let c(g) be the first derivative of x(g). Factor c(n).
-2*n**2*(n - 1)*(n + 1)/5
Let l(b) be the first derivative of -b**4/8 - 185*b**3/6 - 183*b**2/2 + 295. Factor l(s).
-s*(s + 2)*(s + 183)/2
Let u = 642712 - 642710. Factor -18 - 3/2*r + 3/4*r**u.
3*(r - 6)*(r + 4)/4
Let p(d) be the first derivative of -3*d**4/28 + 143*d**3/7 - 423*d**2/7 - 4876. What is z in p(z) = 0?
0, 2, 141
Suppose -8*r = -6*r - 8*r + 12. Let b(q) be the third derivative of 0*q + 0 + 5/72*q**4 + q**r + 1/180*q**5 + 1/3*q**3. Factor b(n).
(n + 2)*(n + 3)/3
Let z(s) be the first derivative of -s**6/2 - 9*s**5/5 + 33*s**4/2 + 42*s**3 - 351*s**2/2 - 405*s - 2031. Determine h, given that z(h) = 0.
-5, -3, -1, 3
Let n = 1261 + -1255. Let s(m) be the third derivative of 4/3*m**4 - 23*m**2 + 0*m - 1/6*m**5 - 7/60*m**n - 4/3*m**3 + 0. What is d in s(d) = 0?
-2, 2/7, 1
Let x(t) be the third derivative of t**6/420 + 4*t**5/35 + 11*t**4/21 + 18*t**2 + 13*t. Solve x(c) = 0.
-22, -2, 0
Let c(s) be the second derivative of s**8/2240 + s**7/168 - s**6/240 - s**5/8 + 89*s**4/6 - 2*s + 102. Let v(f) be the third derivative of c(f). Factor v(i).
3*(i - 1)*(i + 1)*(i + 5)
Let q(b) be the second derivative of 0 - 74*b + 2/9*b**3 + 1/18*b**4 - 1/45*b**6 + 0*b**2 - 1/15*b**5. Factor q(y).
-2*y*(y - 1)*(y + 1)*(y + 2)/3
Let m(g) be the second derivative of 25*g**7/56 + 31*g**6/8 - 903*g**5/80 - 1991*g**4/16 + 255*g**3 + 1350*g**2 + 30*g - 6. Solve m(c) = 0 for c.
-5, -1, 12/5
Let k(u) = u**3 + 109*u**2 + 1874*u + 2290. Let v be k(-88). Determine l so that 35*l + 45/2*l**3 + 325/2*l**v + 0 = 0.
-7, -2/9, 0
Let y(u) = u**3 + 19*u**2 + 17*u - 12. Let v be y(-18). Let a be 11/v - 4*5/(-120). Solve 2*q**3 - 5*q**4 - 4*q**3 + 20*q**a + 17*q**3 = 0 for q.
-1, 0, 4
Let k(j) be the third derivative of j**7/210 - j**6/10 - 23*j**5/12 + 21*j**4/4 + 2766*j**2. Determine m so that k(m) = 0.
-7, 0, 1, 18
Determine r so that -264/13 + 98/13*r**4 + 840/13*r**3 - 2778/13*r**2 - 1784/13*r = 0.
-11, -2/7, 3
Let q(l) be the second derivative of -l**5/160 + 3*l**4/32 + 15*l**2 + 25*l. Let u(g) be the first derivative of q(g). Suppose u(k) = 0. What is k?
0, 6
Let w = 275760 + -275758. Factor 2/19*i**w + 0*i - 2/19.
2*(i - 1)*(i + 1)/19
Let h(s) = 10*s**2 + 86*s + 396. Let t(w) = -3*w**2 + w - 6. Let r(x) = -h(x) - 2*t(x). Factor r(v).
-4*(v + 6)*(v + 16)
Let u(r) be the first derivative of 2000*r + 1/16*r**4 + 5*r**3 + 44 + 150*r**2. Factor u(x).
(x + 20)**3/4
Let l be ((-26)/936*2)/(-1 - 14). Let r(g) be the third derivative of l*g**6 - 2/27*g**3 + 0 - 1/54*g**4 + 10*g**2 + 0*g + 1/135*g**5. Factor r(u).
4*(u - 1)*(u + 1)**2/9
Let z be (2/4)/(6/24). Solve 32*c**3 - 32*c - 2 - 8*c**4 + 38*c - 26*c**z + 2 = 0.
0, 1/2, 3
Let o(f) be the third deriv