*i**p - 4*i.
-4*(i - 1)**3/3
Let f(j) be the first derivative of -j**5/15 - 5*j**4/12 - 2*j**3/3 + 1222. What is m in f(m) = 0?
-3, -2, 0
Let n = -571349 - -571368. Let c be (-8)/(-20)*90/8. Factor 105/4*a + 13/4*a**3 - c + n*a**2.
(a + 3)**2*(13*a - 2)/4
Let w(g) be the second derivative of 27*g**7/28 + 3*g**6/5 - 793*g**5/8 - 957*g**4/2 - 1129*g**3/3 - 120*g**2 - 963*g + 1. Let w(l) = 0. Calculate l.
-5, -3, -2/9, 8
Find y such that -462 - 426*y**2 + 148*y + 216*y**2 + 212*y**2 = 0.
-77, 3
Let z(n) be the second derivative of -n**9/504 + n**8/3360 - 82*n**3/3 + 2*n - 107. Let k(o) be the second derivative of z(o). Factor k(g).
-g**4*(12*g - 1)/2
Let t(n) be the first derivative of 0*n**2 + 0*n + 0*n**4 + 1/360*n**6 + 21 + 20/3*n**3 - 1/120*n**5. Let k(r) be the third derivative of t(r). Factor k(d).
d*(d - 1)
Suppose -278*p + 66 = -275*p. Let n be p/4 + 20/(-32)*4. Factor 0 + 0*b**2 - 1/4*b**n + 0*b - 1/4*b**4 + 1/2*b**5.
b**3*(b - 1)*(2*b + 1)/4
Let h(r) = 2*r**2 + 118*r + 224. Let b(k) = 20*k**2 + 1182*k + 2242. Let j(a) = 4*b(a) - 42*h(a). Factor j(o).
-4*(o + 2)*(o + 55)
Suppose 24*j - 134 - 34 = 0. Suppose 0 = 2*i - j*i + 10. Factor -8*d**3 - 32*d + 244/9*d**i + 64/9 + 7/9*d**4.
(d - 4)**2*(d - 2)*(7*d - 2)/9
Let v(g) be the second derivative of -4*g + 27 - g**4 + 0*g**2 - 4/3*g**3 + 2/15*g**6 + 0*g**5. Let v(w) = 0. What is w?
-1, 0, 2
Let c be (15*816/324)/((-110)/(-66)). Factor 2/3*v**2 - 22*v - c.
2*(v - 34)*(v + 1)/3
Let h(d) be the first derivative of d**7/105 + d**6/6 + 13*d**5/30 - 5*d**4 + 12*d**3 - 27*d**2 - 42. Let i(g) be the second derivative of h(g). Factor i(q).
2*(q - 1)**2*(q + 6)**2
Let x = 62 - 62. Suppose u - 28 + 2 = -3*w, -w - u + 6 = x. Solve 11*j**3 + w*j**2 - 5*j**5 + 26*j**3 - 22*j**3 = 0 for j.
-1, 0, 2
Let u(h) = 19*h + 172. Let m be u(41). Let m + 1164 + 5*a**2 - 150*a - 97 - 893 = 0. Calculate a.
15
Let c(r) be the first derivative of r**7/231 + 2*r**6/165 + r**5/110 + 26*r + 14. Let y(w) be the first derivative of c(w). Factor y(g).
2*g**3*(g + 1)**2/11
Let p = 709831/19380 - 695/19. Let r(y) be the third derivative of 21/85*y**5 + 8/51*y**3 + 0 + 5/17*y**4 - y**2 + p*y**6 + 0*y. Factor r(q).
2*(q + 2)*(7*q + 2)**2/17
Let p = 2227/226 - -33095/678. Find j such that 3872/3 - p*j + 2/3*j**2 = 0.
44
Factor -99/2*z**2 - 33/2*z**3 + 1458 + 3/2*z**4 + 1053/2*z.
3*(z - 9)**2*(z + 3)*(z + 4)/2
Let q(z) be the third derivative of -z**6/160 - 23*z**5/80 + 25*z**4/16 + 163*z**2 + 3. Factor q(s).
-3*s*(s - 2)*(s + 25)/4
Let s(p) be the second derivative of 0*p**2 - 288*p - 1/20*p**5 + 0*p**3 + 0 + 0*p**4 - 1/60*p**6. Factor s(z).
-z**3*(z + 2)/2
Let o be (0 - 1) + (-86)/(-12) - 225/150. Factor 0 + o*d + 1/3*d**2.
d*(d + 14)/3
Let t(b) be the third derivative of -b**7/840 - b**6/60 + 17*b**5/240 + 17*b**4/8 + 15*b**3/2 - 2759*b**2. Let t(z) = 0. Calculate z.
-6, -1, 5
Let h(x) = -9*x + 12*x + 10*x - x**2 + 4*x + 4. Let o be h(17). Factor 8 + 110*j**2 - 14*j - 108*j**2 + o.
2*(j - 6)*(j - 1)
Let d = 215555/13 + -16592. Let o = 553/39 + d. Factor -3/2*s**3 + o*s + s**2 + 4/3.
-(s - 2)*(3*s + 2)**2/6
Let p(q) = -18*q + 12. Let n be p(6). Let a = 98 + n. Factor 3*x**2 - 58*x**a - 4 + 26*x + 49*x - 16.
-5*(x - 1)*(11*x - 4)
Determine s so that 2/7*s - 2/7*s**5 + 12/7 - 20/7*s**2 + 8/7*s**4 + 0*s**3 = 0.
-1, 1, 2, 3
Suppose 3*d**2 - 9/8*d**3 + 15/4 + 99/8*d = 0. What is d?
-2, -1/3, 5
Let g be 1/(105/50) - -5*(-13)/455. Let c(v) be the second derivative of -1/30*v**5 - 20*v + 0 - 1/18*v**4 + 1/9*v**3 + g*v**2. Factor c(i).
-2*(i - 1)*(i + 1)**2/3
Let j(h) be the second derivative of -h**5/20 - 65*h**4/4 + 131*h**3/2 - 197*h**2/2 + 4320*h - 1. Find m such that j(m) = 0.
-197, 1
Let m be ((-70)/(-140))/(5/2). Let w(u) be the third derivative of 1/15*u**4 + 8*u**2 + 0*u + 1/150*u**5 + 0 + m*u**3. Determine b, given that w(b) = 0.
-3, -1
Let i(d) be the first derivative of 0*d**2 - 3/5*d**5 + 3/4*d**4 + 6*d**3 - 8 + 0*d. Factor i(o).
-3*o**2*(o - 3)*(o + 2)
Let b(t) be the first derivative of -3*t**5/5 - 459*t**4/4 - 894*t**3 - 2658*t**2 - 3528*t - 3579. Let b(v) = 0. Calculate v.
-147, -2
Let d(z) = -2*z**5 + z**4 - 2*z**3 - 5*z**2 - 5*z. Let l(y) = -24*y**5 + 7 + 25*y**5 + y**3 + 2*y - 7 + 2*y**2. Let n(o) = -6*d(o) - 15*l(o). Factor n(w).
-3*w**3*(w + 1)**2
Let y(w) be the third derivative of -w**8/616 + 34*w**7/231 - 13*w**6/20 - 29*w**5/55 + 161*w**4/33 + 72*w**3/11 - 127*w**2. Let y(j) = 0. What is j?
-1, -1/3, 2, 54
Let s = -75 + 78. Let c(t) be the first derivative of s*t - 5 + 39 + 0*t**2 - 12 + t**3 - 3*t**2. Factor c(k).
3*(k - 1)**2
Let u(f) be the first derivative of 18*f + 15/4*f**2 - 96 - 1/4*f**3. Factor u(i).
-3*(i - 12)*(i + 2)/4
Let f(v) = -15*v**2 + 38*v + 383. Let l(g) = -8*g**2 + 19*g + 197. Let y(q) = -7*f(q) + 13*l(q). Let y(a) = 0. What is a?
-5, 24
Let d(t) be the first derivative of -t**6/30 + t**5/5 - 5*t**4/12 + t**3/3 + 125*t + 183. Let h(n) be the first derivative of d(n). Solve h(i) = 0.
0, 1, 2
Let z(p) be the third derivative of -6/85*p**6 + 0*p + 0 - 2/255*p**7 - 32/17*p**3 - 1/2856*p**8 - 52/51*p**4 - 285*p**2 - 88/255*p**5. Factor z(g).
-2*(g + 2)**4*(g + 6)/17
Let n(c) = -c**3 - 19*c**2 - 33*c + 2. Let h be n(-2). Let s(v) be the first derivative of -1/4*v**3 + 0*v**2 + h*v - 22. Suppose s(p) = 0. What is p?
0
Let n = 397 - 395. Let j be (n/(-7))/(176/(-112)). Find b, given that -8/11 + 10/11*b - j*b**2 = 0.
1, 4
Let x be (-2)/(96/(-120))*(-4)/760*-8. Find p such that x*p + 0*p**2 - 4/19*p**4 - 6/19*p**3 + 0 = 0.
-1, 0, 1/2
Factor -316/3*k + 2/3*k**2 - 106.
2*(k - 159)*(k + 1)/3
Suppose 47*r + 44*r - 72*r = 0. Let i(c) be the first derivative of r*c - 4/15*c**3 - 24 - 8/5*c**2. Factor i(o).
-4*o*(o + 4)/5
Let g(b) be the third derivative of b**5/40 + 275*b**4/8 - 2131*b**2. Factor g(l).
3*l*(l + 550)/2
Let z(v) = 6*v + 11 + 5*v - 682*v**3 - 120*v**3 + 12*v**4. Let d(j) = 4*j**4 - 268*j**3 + 4*j + 4. Let m(t) = 11*d(t) - 4*z(t). Factor m(h).
-4*h**3*(h - 65)
Factor 263/2*m**2 - m**3 - 1/2*m**4 + 132*m - 8712.
-(m - 11)**2*(m + 12)**2/2
Let y(q) be the second derivative of -1/3*q**3 - 1/12*q**4 + 0 + 0*q**2 + 176*q. Factor y(j).
-j*(j + 2)
Let w(z) be the first derivative of z**4 - 772*z**3/3 + 766*z**2 - 764*z - 2570. Determine c, given that w(c) = 0.
1, 191
Let l = -168763/36 - -4688. Let u(w) be the third derivative of 1/30*w**5 - 2/9*w**3 + 0 + 0*w + 2*w**2 + l*w**4. Solve u(o) = 0 for o.
-2, 1/3
Let k(m) be the second derivative of m**6/35 + 26*m**5/7 + 817*m**4/6 + 3698*m**3/21 - 3547*m + 1. Let k(b) = 0. Calculate b.
-43, -2/3, 0
Let n(v) be the third derivative of -9*v**2 - 2 + 2/5*v**5 - 2*v**3 + 0*v + 2/21*v**7 + 2/5*v**6 - 2/3*v**4. Find o such that n(o) = 0.
-1, 3/5
Let o(m) be the third derivative of m**5/540 - 433*m**4/108 + 187489*m**3/54 + 1158*m**2. Factor o(k).
(k - 433)**2/9
Let h(v) be the second derivative of 14 - 1/120*v**6 + 0*v**5 + 0*v**4 - 1/168*v**7 + 0*v**2 - 2*v + 0*v**3. Factor h(y).
-y**4*(y + 1)/4
Let g(o) be the second derivative of -16*o**2 - 1/5*o**5 - 2/15*o**6 + 2*o**4 + 8/3*o**3 + 1 + 4*o. Factor g(p).
-4*(p - 2)*(p - 1)*(p + 2)**2
Suppose 426 + 729 = 21*g. Suppose 46*p - g*p = -18. Suppose 1/2*y**3 + 125/2 + 15/2*y**p + 75/2*y = 0. Calculate y.
-5
Let s(m) be the second derivative of m**4 + 0*m**3 + 0*m**2 + m + 21/20*m**5 + 1/5*m**6 + 2 - 1/14*m**7. Let s(d) = 0. Calculate d.
-1, 0, 4
Factor -140/9*q**4 + 0*q - 286/9*q**3 - 16*q**2 + 2/9*q**5 + 0.
2*q**2*(q - 72)*(q + 1)**2/9
Let q = 410 + -408. Factor -6*n**2 + 24*n - 3600 - 264*n + 0*n**q + 2*n**2.
-4*(n + 30)**2
Let k(w) be the first derivative of w**3 + 291*w**2 + 579*w + 401. Determine l, given that k(l) = 0.
-193, -1
Let q(f) be the third derivative of -4/5*f**3 + 20 + 13/150*f**5 + 0*f - 2/15*f**4 - f**2 - 1/100*f**6. What is x in q(x) = 0?
-2/3, 2, 3
Let i(z) be the first derivative of 3*z**5/5 + 137*z**4/4 + 221*z**3/3 + 43*z**2/2 - 44*z - 5330. Factor i(k).
(k + 1)**2*(k + 44)*(3*k - 1)
Let o(g) be the first derivative of -3*g**4/8 - 13*g**3/2 + 195*g**2/4 - 153*g/2 - 533. Suppose o(i) = 0. Calculate i.
-17, 1, 3
Let o(a) be the second derivative of -1 - 5/39*a**4 + 0*a**3 - 1/195*a**6 + 3*a + 0*a**2 - 7/130*a**5. Factor o(t).
-2*t**2*(t + 2)*(t + 5)/13
Suppose 0 = -43*r + 51*r - 40. Suppo