 be the first derivative of z(d). Factor a(w).
-4*w*(9*w - 4)
Let w(n) = -21*n**5 + 40*n**3 - 13*n**2 + 20*n + 26. Let z(l) = 10*l**5 - 20*l**3 + 6*l**2 - 8*l - 12. Let p(u) = -6*w(u) - 13*z(u). Solve p(i) = 0.
-2, -1, 0, 1, 2
Factor -36*u**2 + 57 + 9*u**2 - 3*u**3 + 155*u + 17*u**2 - 39*u**2.
-(u - 3)*(u + 19)*(3*u + 1)
Let k(r) be the second derivative of 1/3*r**4 - 4/3*r**3 - 1 + 63*r - 16*r**2. What is q in k(q) = 0?
-2, 4
Let b(h) = h**2 + h + 60. Suppose -9*r + 207 = 153. Let m(u) = 3*u**2 + 3*u + 120. Let v(i) = r*m(i) - 13*b(i). Factor v(d).
5*(d - 3)*(d + 4)
Let q(m) = 9*m**2 + 24*m - 26. Let x be q(1). Let 11 + 29*f - 6*f**2 + x*f**2 + 21 - 10*f - 7*f = 0. What is f?
-8, -4
Let d be (-60)/28*(-17 + (-1771)/(-115)). Let 0*x - 2/7*x**5 + 0 + 0*x**3 - d*x**4 + 0*x**2 = 0. Calculate x.
-12, 0
Let y be (-84)/(-10) + -9*(-306)/162 + -23. Factor y*p**2 - 2/5*p**3 - 2*p + 0.
-2*p*(p - 5)*(p - 1)/5
Let b be (-4640)/(-256) - (-4)/((-32)/136). Factor 0 - 3/4*f - b*f**2 - 3/8*f**3.
-3*f*(f + 1)*(f + 2)/8
Let q(h) = 6*h**3 - 2*h**3 - h**3 - h - 2*h**2 + 2 - 2*h**3. Let j be q(3). Find u, given that -4*u**3 - 2*u + j*u**2 + 6*u - 4 - 4 = 0.
-1, 1, 2
Let p(k) = k**4 + k. Suppose -5 = -5*f, -2*b + 5 = -f + 12. Let l(g) = g**4 - 18*g**3 - 26*g**2 + 93*g + 100. Let m(c) = b*p(c) + l(c). Factor m(v).
-2*(v - 2)*(v + 1)*(v + 5)**2
Let p = 2642 - 2635. Let l(j) be the second derivative of 0*j**3 + 0*j**2 - j + 1/12*j**4 - 1/30*j**6 + 0 + 1/42*j**p - 1/20*j**5. Factor l(n).
n**2*(n - 1)**2*(n + 1)
Determine i, given that -18*i**3 - 3/2*i**4 + 1470*i + 63*i**2 + 9261/2 = 0.
-7, 9
Let h(w) be the first derivative of w**6/1260 - w**5/21 + 25*w**4/21 + 47*w**3 + 47. Let u(v) be the third derivative of h(v). Factor u(r).
2*(r - 10)**2/7
Determine m so that -8 - 14/3*m + 1/3*m**3 + 1/3*m**2 = 0.
-3, -2, 4
Factor 1102736/21 + 13448/7*b + 2/21*b**3 + 164/7*b**2.
2*(b + 82)**3/21
Suppose 18*c + 12597 = -2487. Let i = -838 - c. Factor i + 0*b**2 + 2/3*b**3 - 8/3*b.
2*b*(b - 2)*(b + 2)/3
Suppose -5*f = -7*f + 8. Solve -3*p - p**f + p**3 - 90*p**2 + 2*p + 91*p**2 = 0 for p.
-1, 0, 1
Let f(y) be the first derivative of y**6/1620 + y**5/45 + 2*y**3/3 + 5*y**2/2 - 19. Let n(z) be the third derivative of f(z). Let n(r) = 0. Calculate r.
-12, 0
Let u(q) be the first derivative of -2*q**3/3 - 6*q**2 + 80*q + 547. Solve u(d) = 0 for d.
-10, 4
Let j = -2/721 + -1192/90125. Let x = 383/500 + j. Factor -3/4*d**3 - x + 3/4*d**2 + 3/4*d.
-3*(d - 1)**2*(d + 1)/4
Suppose -270 = 3*b + 6*b. Let z be 188/60 + 4/b. Determine v, given that 49*v**5 + 7*v**4 + 391*v**3 - 4*v - 436*v**z - 28*v**2 + 21*v**4 = 0.
-1, -2/7, 0, 1
Let y(b) be the first derivative of -4489*b**3/6 - 603*b**2 - 162*b + 3009. Let y(d) = 0. What is d?
-18/67
Let i(g) be the third derivative of g**6/720 - g**5/90 - 7*g**4/144 + 5*g**3/18 - 800*g**2 + g. Solve i(z) = 0 for z.
-2, 1, 5
Let m(s) be the first derivative of -s**3/3 - 5*s**2 - 11*s + 4. Let k be m(-5). Factor 48 + 7*g**2 + 5*g**2 + 66*g + k*g.
4*(g + 6)*(3*g + 2)
Find b, given that -2/3*b**2 - 154 + 80/3*b = 0.
7, 33
Suppose 28*d + 53 = -37*d + 313. Let w(a) be the second derivative of 30*a + 8/21*a**7 + 6/5*a**5 + 0 + 0*a**3 - 1/3*a**d + 0*a**2 - 6/5*a**6. Factor w(n).
4*n**2*(n - 1)**2*(4*n - 1)
Let o(n) be the second derivative of n**7/21 - 11*n**6/15 + 13*n**5/5 - 8*n**4/3 - 17*n - 41. Find i, given that o(i) = 0.
0, 1, 2, 8
Let l(q) = 15*q**2 - 10*q. Let r(w) = -33*w**2 + 21*w. Let n be (-10)/(-3) - 10/(-15). Let z(b) = n*r(b) + 9*l(b). Determine m, given that z(m) = 0.
0, 2
Factor 139423*f**2 - 139567*f**2 + 0*f**3 + 194*f + 90*f + f**3.
f*(f - 142)*(f - 2)
Let o(z) be the third derivative of -z**5/30 - 23*z**4/8 + 37*z**3/6 + 495*z**2. Let h be o(-35). What is j in 0*j + 0 - 8/3*j**3 - 2*j**h - 2/3*j**4 = 0?
-3, -1, 0
Suppose 3*i = 6*i - 15. Suppose 22*o**3 - 65*o**3 + 14*o + 19*o**3 + 26*o**3 - 2*o**2 + o**4 - 10*o**2 - i = 0. What is o?
-5, 1
Let n be -10 + -105*(-26)/117 + -4. What is q in -8*q**2 - n*q + 4/3*q**3 + 0 = 0?
-1, 0, 7
Let f(l) be the third derivative of -l**9/80640 + l**8/6720 + l**5/12 + 2*l**3 - l**2. Let d(k) be the third derivative of f(k). Factor d(h).
-3*h**2*(h - 4)/4
Let x(w) be the first derivative of -w**5/210 - 5*w**4/42 - 3*w**3/7 - 283*w**2/2 - 221. Let h(o) be the second derivative of x(o). Factor h(z).
-2*(z + 1)*(z + 9)/7
Suppose -5*v = -12*v + 21. Factor -42*q**2 - 35*q**2 - 27*q - 12 - v*q**3 + 59*q**2.
-3*(q + 1)**2*(q + 4)
Factor -138*r - 2*r**2 - 35*r**2 + 23 - 7*r**2 - 87 - 36.
-2*(r + 2)*(22*r + 25)
Suppose 0 = 1070*y + 1080*y - 2123*y - 108. Let u(w) be the third derivative of -2 + 4/15*w**5 - 16*w**2 + 1/60*w**6 + 0*w**3 + 0*w + 4/3*w**y. Factor u(g).
2*g*(g + 4)**2
Solve 407/5*j - 242/5 - 189/5*j**2 - 1/5*j**4 + 5*j**3 = 0.
1, 2, 11
Let u be (-1)/14 + (-59 - (-40185)/658). Factor 84/5*d + 2/5*d**u + 882/5.
2*(d + 21)**2/5
Let z be 4/(1834/56 + (-21)/(-4)). Factor 14/19*d**2 + 2/19*d - z*d**3 - 14/19.
-2*(d - 7)*(d - 1)*(d + 1)/19
Suppose 484*r - 912 + 127 = 183. Let -11/6*m + 1/2*m**r - 1 + 1/3*m**3 = 0. What is m?
-3, -1/2, 2
Suppose 43*j + 5*h = 46*j + 30, 5*j + 30 = 5*h. Let m(l) be the second derivative of j - 1/4*l**2 - 5/24*l**3 - 1/48*l**4 + 1/40*l**5 - 33*l. Factor m(i).
(i - 2)*(i + 1)*(2*i + 1)/4
What is s in 4*s**2 - 3*s**5 + 24*s + 2*s**4 + 13*s**4 + s**2 - 3*s**2 - 12 - 5*s**2 - 21*s**3 = 0?
-1, 1, 2
Let q be 3 - (16 + -7) - 483. Let z = q + 489. Factor -3/5*p**3 - 3/5*p**2 + 6/5*p + z.
-3*p*(p - 1)*(p + 2)/5
Let m = -20345 + 20345. Let r(w) be the second derivative of 32*w**2 + m*w**5 + 0*w**3 + 6*w + 0 - 8/3*w**4 + 2/15*w**6. Let r(h) = 0. Calculate h.
-2, 2
Let y(n) be the second derivative of -n**7/14 + 18*n**6/5 - 348*n**5/5 + 1243*n**4/2 - 4719*n**3/2 + 3993*n**2 - 546*n. Solve y(z) = 0 for z.
1, 2, 11
Let q = 378/17 + -6201/272. Let p = -121/272 - q. Factor 2/17*u**2 + 0 - p*u**4 + 2/17*u**3 + 0*u - 2/17*u**5.
-2*u**2*(u - 1)*(u + 1)**2/17
Let n(p) = p**2 + 8*p + 3. Let s(o) = 3*o**2 + 16*o - 16. Let x(u) = -4*n(u) + s(u). What is w in x(w) = 0?
-14, -2
Let m(z) be the second derivative of 0*z**3 - 1/10*z**5 + 38*z + 0*z**2 + 1/30*z**6 + 1/12*z**4 + 0. Suppose m(h) = 0. What is h?
0, 1
Factor 0*t + 0*t**3 + 0 + 0*t**2 - 2/5*t**5 - 392/5*t**4.
-2*t**4*(t + 196)/5
Let k = -255 + 257. Factor 6 - 4*a + 12*a**k + 7 - 10*a - 11*a**2.
(a - 13)*(a - 1)
Let g = -16 + 0. Let f be ((-56)/g)/(2/8). Factor 4*j**2 - 821 + 2*j + f*j + 837.
4*(j + 2)**2
Let s be -6 - ((-5)/25 - (-2)/10). Let f be 15/10 + s + 6. What is x in -3/2*x + 0 + f*x**2 = 0?
0, 1
Let o(c) be the third derivative of -10*c + 11*c**2 + 46/15*c**3 - 1/150*c**5 + 0 - 7/20*c**4. Find u such that o(u) = 0.
-23, 2
Let z(d) = -d**3 - 109*d**2 + 219*d + 8. Let p be z(2). Let y be ((-2)/(-34))/(18/72). Factor -10/17*s**4 - 2/17*s**5 - 14/17*s**p + 0 - y*s - 18/17*s**3.
-2*s*(s + 1)**3*(s + 2)/17
Let j(s) be the second derivative of -s**9/4032 - s**8/560 - s**7/280 - 97*s**3/6 + 97*s. Let z(o) be the second derivative of j(o). Factor z(c).
-3*c**3*(c + 2)**2/4
Let q(d) = -21*d**4 - 22*d**3 - 11*d**2 + 22*d + 25. Let c(f) = 23*f**4 + 21*f**3 + 13*f**2 - 21*f - 28. Let a(h) = -7*c(h) - 8*q(h). Let a(t) = 0. Calculate t.
-4, -1, -1/7, 1
Let g(z) = -30*z**2 + 50*z + 1. Let s(m) = -59*m**2 + 100*m + 2. Let w(h) = 7*g(h) - 4*s(h). Let a be w(2). Factor 4/9 - 4/3*c + 4/3*c**2 - 4/9*c**a.
-4*(c - 1)**3/9
Let n(w) be the third derivative of w**6/30 + 293*w**5/15 + 7105*w**4/2 - 14406*w**3 + 8*w**2 - 46. Solve n(i) = 0 for i.
-147, 1
Let c = -17/6 + 25/6. Let b be (-1)/(-30)*19640/1473. Let c*o**4 - 14/9*o**3 + b*o**2 + 0 + 0*o = 0. Calculate o.
0, 1/2, 2/3
Let w(k) be the second derivative of 52/15*k**2 - 1/90*k**4 + k - 8/15*k**3 - 4. Factor w(r).
-2*(r - 2)*(r + 26)/15
Let m = 49978/9 + -5552. Factor m - 62/9*f + 34/3*f**2 - 2*f**3.
-2*(f - 5)*(3*f - 1)**2/9
Let n(k) be the second derivative of 5/2*k**2 - 1/6*k**4 + 16*k + 0 + 4/3*k**3 - 1/15*k**5. Let g(c) be the first derivative of n(c). Factor g(d).
-4*(d - 1)*(d + 2)
Let n(w) be the second derivative of w**2 + 1/12*w**4 - 2*w - 1/2*w**3 - 9. Factor n(f).
(f - 2)*(f - 1)
Let u be ((-40)/(-15))/(10/5). Let v(x) be the third derivative of 18*x**2 + 529/30*x**5 + 0 + u*x**3 + 23/3*x**4 + 0*x.