. What is b?
0, 13
Let k = 2886/5 + -25972/45. Let x(v) be the third derivative of 0*v**3 + 0*v + 0 - 1/90*v**6 + 0*v**4 - k*v**5 + 17*v**2. Find a such that x(a) = 0.
-2, 0
Let a = -2386568/3 + 795534. Determine p so that 34/3 - a*p**2 + 2/3*p**3 - 2/3*p = 0.
-1, 1, 17
Let i(x) be the first derivative of 5/6*x**2 - 1/12*x**4 + 2/3*x + 185 + 1/3*x**3 - 1/15*x**5. Let i(l) = 0. Calculate l.
-1, 2
Let u = 256 + -254. Factor -789*r**2 + 794*r**u + 113*r + 67*r + 1620.
5*(r + 18)**2
Let j(t) = -19*t**3 - 9*t**2 - 87*t - 131. Let n(a) = -16*a**3 - 10*a**2 - 85*a - 130. Let z(x) = 5*j(x) - 6*n(x). Factor z(o).
(o + 5)**3
Let g(u) be the third derivative of 1/2*u**5 + 0 - 1/24*u**6 + 4*u + 2*u**2 + 0*u**4 + 0*u**3. Factor g(p).
-5*p**2*(p - 6)
Let 4/3*l**2 + 11392/3 + 5704/3*l = 0. Calculate l.
-1424, -2
Let r = -29/210 + 33/70. Let t(p) be the first derivative of 0*p - r*p**6 + 0*p**2 + 2/3*p**3 - 16 - 2/5*p**5 + 1/2*p**4. Factor t(h).
-2*h**2*(h - 1)*(h + 1)**2
Suppose -s = -0 - 3. Factor -9*j**2 + 8 - 3*j**4 - 158*j**s + 12*j + 4 + 299*j**3 - 153*j**3.
-3*(j - 1)*(j + 1)*(j + 2)**2
Let g(v) be the second derivative of -v**7/252 - v**6/90 + v**5/5 - v - 451. Solve g(z) = 0 for z.
-6, 0, 4
Let r(c) be the second derivative of -22/3*c**2 - 7/9*c**4 + 35/9*c**3 + 0 + 1/30*c**5 - 36*c. Suppose r(n) = 0. Calculate n.
1, 2, 11
Let u(a) = 4*a**2 + 14*a - 17. Let h be u(-5). Let s(o) = -o**2 + 34*o + 18. Let n(f) = -2*f**2 + 73*f + 37. Let b(p) = h*s(p) - 6*n(p). Factor b(k).
-(k - 6)*(k + 2)
Let i(u) be the first derivative of u**6/15 - u**5/10 - u**4/12 + 123*u**2/2 - 158. Let g(j) be the second derivative of i(j). Let g(d) = 0. What is d?
-1/4, 0, 1
Factor -1/4*q**5 + 0 + 3/4*q**3 + 0*q**4 + 0*q - 1/2*q**2.
-q**2*(q - 1)**2*(q + 2)/4
Factor 36*s**2 - 90*s + 19*s**4 - 77*s**4 + 161 + 42*s**3 - 122 + 31*s**4.
-3*(s - 1)**3*(9*s + 13)
Let y(u) be the second derivative of u**7/315 - 2*u**6/45 - 38*u**5/25 - 44*u**4/5 + 8*u - 232. Determine o so that y(o) = 0.
-6, 0, 22
Let g(o) be the third derivative of -o**6/30 + o**5 - 9*o**4 + 80*o**3/3 + 250*o**2. Let g(x) = 0. Calculate x.
1, 4, 10
Let v(s) be the first derivative of -2/3*s**3 + 36*s - 131 - 15/2*s**2 + 1/4*s**4. Let v(a) = 0. What is a?
-4, 3
Let x = 67301 - 67298. Factor 0*z**x - 1/3*z**4 + 0*z + 0 + 4/3*z**2.
-z**2*(z - 2)*(z + 2)/3
Factor -44*n**2 + n**4 - 7*n**4 - 56*n**3 - 92*n + 5*n**4 + 103*n**3.
-n*(n - 46)*(n - 2)*(n + 1)
Let 56*q**3 + 655*q**2 - 4*q**4 + 244*q**2 - 623*q**2 + 216*q = 0. Calculate q.
-3, -1, 0, 18
Let j = 1279/312 + -91/24. Let 2/13*c**2 + 0 + j*c = 0. Calculate c.
-2, 0
Let v(b) = -12*b**3 - 9*b**2 + 13*b + 12. Let k be v(-1). Find l such that -5/3*l**3 + 0*l + 1/6*l**k + 0 + 11/2*l**4 - 6*l**5 = 0.
0, 1/4, 1/3
Let x(u) be the second derivative of u**8/840 - u**6/60 + u**5/30 + 7*u**3 - 14*u + 3. Let i(h) be the second derivative of x(h). What is t in i(t) = 0?
-2, 0, 1
Let y(r) = 6*r**4 + 2*r**3 - 30*r**2 + 25*r + 6. Let j(l) = -83*l**4 - 28*l**3 + 421*l**2 - 351*l - 82. Let i(w) = -6*j(w) - 82*y(w). Solve i(n) = 0 for n.
-4, 0, 1, 7/3
Suppose 2*x + 4*n - 15 = 3, 4*n + 26 = 2*x. Let b = x + 0. Solve -3*s**3 + 3*s**5 - b*s**2 + 11*s**2 = 0 for s.
-1, 0, 1
Let w(z) be the first derivative of z**6/10 + 3*z**5/5 + z**4/4 - 3*z**3 + 2*z - 25. Let k(h) be the first derivative of w(h). Factor k(q).
3*q*(q - 1)*(q + 2)*(q + 3)
Suppose -8499 = -1227*b - 1940*b + 334*b. Let q = 1 + 1. What is v in 0*v**q + 0*v**b + 0*v + 0 + 2/3*v**4 = 0?
0
Let w(d) be the second derivative of d**5/180 - 11*d**4/144 + 5*d**3/36 - 73*d**2 - 28*d. Let p(c) be the first derivative of w(c). Solve p(m) = 0.
1/2, 5
Let q = 341993/7 - 49124. Let p = 269 + q. Solve -18/7*z**2 - 24/7*z - p = 0 for z.
-2/3
Let g(z) be the second derivative of z**4/48 - 5*z**3/3 - 21*z**2/2 + 1310*z. Factor g(r).
(r - 42)*(r + 2)/4
What is y in 324 + 342*y + 118*y**2 + 46/3*y**3 + 2/3*y**4 = 0?
-9, -3, -2
Let j be ((-12)/30)/(16/6020) + 3. Let o = j - -2081/14. Let 2/7*i**3 + o + 18/7*i + 12/7*i**2 = 0. What is i?
-4, -1
Let q(i) = -127*i + 1. Let k(f) = 15*f**2 + 2156*f - 803. Let g(n) = -k(n) + 2*q(n). What is x in g(x) = 0?
-161, 1/3
Let y(q) be the third derivative of -q**8/84 - 4*q**7/105 + 37*q**6/15 - 68*q**5/15 - 73*q**4/6 + 140*q**3/3 + q**2 + 8*q + 51. Suppose y(d) = 0. What is d?
-10, -1, 1, 7
Suppose 4*l = 267 + 197. What is m in -33*m**4 - l*m**3 + 8*m**4 - 20 - 37*m**3 + 23*m**3 - 9*m**2 + 76*m = 0?
-5, -1, 2/5
Let -12*g**2 + 0*g + 0 - 88/3*g**3 - 7/3*g**5 + 131/3*g**4 = 0. Calculate g.
-2/7, 0, 1, 18
Let m(j) = -j**2 - 21*j + 34. Let z(t) be the first derivative of -2*t**3/3 - 11*t**2 + 32*t - 111. Let s(i) = -2*m(i) + 3*z(i). Let s(a) = 0. Calculate a.
-7, 1
Let q(u) = 7*u**3 - u**2 - 3*u**3 - 9*u**2 + 9 + 3*u - 11*u**3. Let m = 17 - 21. Let x(g) = 3*g**3 + 5*g**2 - 2*g - 4. Let s(p) = m*q(p) - 9*x(p). Factor s(b).
b*(b - 3)*(b - 2)
Let t(u) be the third derivative of u**6/480 + 179*u**5/240 + 89*u**4/48 + 8*u**2 - 4. What is i in t(i) = 0?
-178, -1, 0
Let r(v) be the third derivative of -58/3*v**4 - 52/21*v**7 + 0*v + 106/15*v**5 - v**2 + 16*v**3 - 25/84*v**8 + 8 + 47/10*v**6. Solve r(c) = 0 for c.
-6, -1, 2/5, 1
Let g(z) be the first derivative of 0*z + 4 + 4/3*z**3 - 4*z**2. Solve g(o) = 0.
0, 2
Let u be 14 - 31 - 16566/(-858). Let -54/13*k + 486/13 - u*k**2 - 2/13*k**3 = 0. What is k?
-9, 3
Suppose -726 - 459 = -3*l. Factor -l + 96*i - 415 - 3*i**2 - 346 + 388.
-3*(i - 16)**2
Let z be 132/(-99)*(-3)/2. Factor 7*b**2 + 8*b**2 - 90*b - 12*b**z + 675.
3*(b - 15)**2
Let h be (-18789)/14649 - (-2 - -3)*-2. Let c = 5/257 + h. Suppose 18/19*o**4 + c*o**3 + 4/19 - 22/19*o**2 - 14/19*o = 0. What is o?
-1, 2/9, 1
Let i = 14299/75180 - -1/3580. Factor -2/21 + 2/21*m**4 - 4/21*m + 0*m**2 + i*m**3.
2*(m - 1)*(m + 1)**3/21
Let f(h) = h**3 + h**2 - 31*h - 64. Let k be f(6). Factor -1/6*g**k - 3*g - 17/6.
-(g + 1)*(g + 17)/6
Let n(i) = 257*i + 1545. Let l be n(-6). Let c(v) be the second derivative of -1/72*v**4 + 14*v + 0 + 0*v**2 + 1/36*v**l. Factor c(u).
-u*(u - 1)/6
Let k(v) be the first derivative of -v**7/280 - 3*v**6/320 + v**5/80 - 5*v**2 - 14*v - 198. Let c(t) be the second derivative of k(t). Factor c(a).
-3*a**2*(a + 2)*(2*a - 1)/8
Let s(r) be the third derivative of -r**5/60 + 63*r**4/8 - 94*r**3/3 - 4464*r**2. Factor s(v).
-(v - 188)*(v - 1)
Let u(l) be the second derivative of -l**6/120 + l**5/40 + l**4/4 + l**3 + 5*l**2/2 - 76*l. Let a(d) be the second derivative of u(d). Let a(h) = 0. What is h?
-1, 2
Let d(y) be the second derivative of y**7/5040 + y**6/288 + y**5/60 - 31*y**4/12 - 45*y. Let o(h) be the third derivative of d(h). Find f, given that o(f) = 0.
-4, -1
Let b(d) be the second derivative of -d**4/3 - 44*d**3/3 + 1008*d**2 - 2*d - 420. Find o, given that b(o) = 0.
-36, 14
Let v(i) be the second derivative of -5*i**4/24 - 55*i**3/3 - 105*i**2 - 454*i. Factor v(j).
-5*(j + 2)*(j + 42)/2
Let l(h) = -h**3 - 6*h**2 - 11*h - 9. Let j be l(-4). What is y in 50*y + 60*y - 157*y + 39*y**2 + 6*y**j + 62*y - 18 = 0?
-6, -1, 1/2
Suppose 11*x + 56 = 1. Let c(u) = -10*u**2 - 160*u - 655. Let n(o) = -15*o**2 - 240*o - 984. Let g(t) = x*n(t) + 8*c(t). Factor g(v).
-5*(v + 8)**2
Let o(j) = -j**4 - 8*j**3 + j - 1. Let d(t) = 24*t**4 + 160*t**3 - 217*t**2 - 23*t + 23. Let u(y) = 2*d(y) + 46*o(y). Solve u(l) = 0.
-7, 0, 31
Let m(k) be the first derivative of -k**4/4 + 7*k**3 - 9*k**2 - 40*k - 1963. Solve m(w) = 0.
-1, 2, 20
Let y be (7/(-1134))/((-9)/18)*6*3. Let u be (-4)/(-10) + (-2)/5. Factor u*k**2 + 0 + 0*k - 2/9*k**4 - y*k**3.
-2*k**3*(k + 1)/9
Let n(h) = 13*h**3 + 105*h**2 - 468*h + 10. Let r(i) = 15*i**3 + 105*i**2 - 468*i + 12. Let q(m) = -6*n(m) + 5*r(m). Find a, given that q(a) = 0.
-39, 0, 4
Let l(w) be the third derivative of 43/30*w**5 - 5*w**4 - 1/5*w**6 + 6*w**2 - 14 + 28/3*w**3 + 0*w + 1/105*w**7. Suppose l(f) = 0. What is f?
1, 2, 7
Let i be 9*12/(-36)*-2. Let j(z) be the third derivative of 1/216*z**8 + 1/15*z**i + 4/135*z**5 + 0*z + 0*z**4 + 0*z**3 + 0 + 2/63*z**7 + 5*z**2. Factor j(r).
2*r**2*(r + 2)**2*(7*r + 2)/9
Let m(h) = 532*h**2 - 3004*h - 47440. Let t(u) = 25*u**2 - 143*u - 2259. Let j(k) = 3*m(k) - 64*t(k). Solve j(f) = 0.
-12, 47
Let a(j) be the third derivative of 1/3*j**5 + 1/24*j