(j) + 3*x(j). Solve p(i) = 0.
-18, 0
Let b(k) = 3*k**3 + 16*k**2 + 2*k - 2. Let o(h) = 13*h**3 + 63*h**2 + 9*h - 9. Let w = 680 + -689. Let v(c) = w*b(c) + 2*o(c). Factor v(a).
-a**2*(a + 18)
Factor 1/4*u**4 - 25/4*u**3 - 27/4*u**2 + 13/2 + 25/4*u.
(u - 26)*(u - 1)*(u + 1)**2/4
Let y(s) = 4*s**2 + 182*s - 204. Let v = 569 + -576. Let d(z) = 4*z**2 + 179*z - 204. Let q(b) = v*y(b) + 6*d(b). Solve q(h) = 0.
-51, 1
Let i(d) be the first derivative of -d**5/5 - d**4/2 - d**3/3 + d**2/2 - d + 119. Let c(a) = -10*a**4 - 5*a - 5. Let u(s) = -c(s) + 5*i(s). Factor u(r).
5*r*(r - 2)*(r - 1)*(r + 1)
Factor -s**3 + 23*s + 37 + 0 + s**2 + 4 - 9*s**2 - 11.
-(s - 3)*(s + 1)*(s + 10)
Let p(n) = -78*n**2 + 61*n + 21. Let m be p(-5). Let b = m - -2234. Suppose -1/4*k + b - 1/4*k**2 = 0. Calculate k.
-1, 0
Let o be (-2 + 2)/(-74*56/(-1036)). Factor o - 2/9*b**2 - 26/9*b.
-2*b*(b + 13)/9
Suppose -b + 2*j - 10 = -2*j, 2*b - 16 = -4*j. Suppose b*l - 5*w - 5 = -6*w, 0 = -w + 1. Factor -1/6*z - 1/6*z**l + 1/3.
-(z - 1)*(z + 2)/6
Let i(p) be the third derivative of p**5/100 - 251*p**4/8 - 628*p**3/5 + 2*p**2 + 2*p - 558. Factor i(l).
3*(l - 1256)*(l + 1)/5
Let b be (-4)/5*(-4965)/4634*322/8. Determine m, given that -39/8 - 75*m**3 + 6*m**4 + b*m - 333/8*m**2 = 0.
-1, 1/4, 13
What is i in -432/7 - 12980/7*i**2 + 4744/7*i - 242/7*i**3 = 0?
-54, 2/11
Let r be (11 - 5 - 3) + 1/(-1). Factor -d**r - 20*d + 44 + 16*d + 11*d.
-(d - 11)*(d + 4)
Let b = -537 - -541. Factor -35*r**b - 76*r + 20*r + 48*r + 5*r**2 - 50*r**3 + 0*r**2 + 28*r.
-5*r*(r + 1)**2*(7*r - 4)
Let s(n) be the second derivative of 5*n**6 + 294*n + 0*n**3 - 338*n**4 + 0*n**2 + 0 + 429/5*n**5 + 1/14*n**7. Suppose s(o) = 0. Calculate o.
-26, 0, 2
Let c(u) = -2*u**2 - 108*u. Let s(d) = -12*d**2 - 656*d. Let m(x) = 17*c(x) - 3*s(x). Factor m(i).
2*i*(i + 66)
Suppose -51*m + 50*m + 5 = 0. Let q(u) be the first derivative of 0*u + 3/35*u**m + 0*u**2 + 16 + 0*u**4 + 0*u**3. Let q(a) = 0. Calculate a.
0
Suppose -f - 5 + 6 = 2*k, 4*k = f - 7. Factor -176*i**f + 179117 + 5065*i**2 + 2*i**4 + 289395 - 85184*i + 743*i**2.
2*(i - 22)**4
Let n(t) be the third derivative of 20*t**7/21 - 16*t**6/3 + 87*t**5/10 - 43*t**4/12 + 2*t**3/3 + 68*t**2 + 2*t. Solve n(b) = 0.
1/10, 1, 2
Factor -1/2*u**4 - 20*u**3 - 36 - 91*u - 149/2*u**2.
-(u + 1)**2*(u + 2)*(u + 36)/2
Factor -7/2*y**3 + 1/4*y**4 - 13*y + 5 + 45/4*y**2.
(y - 10)*(y - 2)*(y - 1)**2/4
Let c(q) = 5*q**4 + 1340*q**3 - 2930*q**2 - 9740*q - 5505. Let t(o) = -o**4 - 335*o**3 + 733*o**2 + 2435*o + 1376. Let n(x) = 4*c(x) + 15*t(x). Factor n(v).
5*(v - 4)*(v + 1)**2*(v + 69)
Let u = 3/92308 - 35723937/22800076. Let b = -19/13 - u. Factor 4/19*i**2 + 0 - b*i**3 + 0*i.
-2*i**2*(i - 2)/19
Let z = -52899 + 264527/5. Factor -52272/5*f**2 - z - 2112/5*f - 574992/5*f**3 - 2371842/5*f**4.
-2*(33*f + 2)**4/5
Let q(d) be the third derivative of -d**5/150 - 131*d**4/6 - 85805*d**3/3 - 686*d**2 + 3. Factor q(o).
-2*(o + 655)**2/5
Suppose 104 = 2*u - u. Factor -152*j - 14 + u*j - 34 + 12*j**3 + 3*j**4.
3*(j - 2)*(j + 2)**3
Factor -48 + 36*p**2 - 33*p**2 - 102*p + 84*p.
3*(p - 8)*(p + 2)
Let k = -212 + 227. Factor -49*b**2 + 25*b**2 - k*b**3 + 44*b**2 + 25*b - 10.
-5*(b - 2)*(b + 1)*(3*b - 1)
Solve -8*g**2 + 136*g**4 - 14*g**3 - 41*g**4 - 99*g**4 + 2*g**5 = 0.
-1, 0, 4
Let i(t) = -3*t**2 + 9*t - 3. Let j(p) = 2*p**2 + 1. Let b(v) = v**3 + 7*v**2 + 11*v + 4. Let k be b(-5). Let d(y) = k*i(y) - 3*j(y). Let d(a) = 0. Calculate a.
-3, 0
Let n(o) be the second derivative of o**4/36 + 764*o**3/9 + 291848*o**2/3 - 750*o - 2. Let n(d) = 0. What is d?
-764
Let r(w) be the third derivative of -w**6/300 - 97*w**5/75 - 9409*w**4/60 - 1198*w**2. Find d such that r(d) = 0.
-97, 0
Find g such that -84*g**3 - 30*g**2 + 15/2*g**5 + 0*g - 39/2*g**4 + 0 = 0.
-2, -2/5, 0, 5
Let a(h) = h**2 + 19*h + 74. Let x be a(-5). Factor -61 + 240*d + 208*d**3 - 435*d**3 + 461 + 203*d**3 - 44*d**2 + 4*d**x.
4*(d - 5)**2*(d + 2)**2
Suppose 0 = -61*x + 67 + 116. Factor -4*q**2 + 1/2*q**4 - 6*q + 0 + 5/2*q**x.
q*(q - 2)*(q + 1)*(q + 6)/2
Factor 1565*i**2 - 3132*i**2 + 138*i - 136 + 1565*i**2.
-2*(i - 68)*(i - 1)
Let h = 152 - 65. Suppose 104 = y - h. Determine l so that 188*l**3 - 6*l**2 - 2 + y*l**3 - 377*l**3 + 8 - 2*l = 0.
-1, 1, 3
Let d(i) be the third derivative of i**6/20 + 73*i**5/15 - 49*i**4/12 - 114*i**2. Factor d(y).
2*y*(y + 49)*(3*y - 1)
Let c = 4991/4422 - 135/134. Let k(h) be the first derivative of 0*h**2 - 17 + 2/55*h**5 - c*h**3 - 1/22*h**4 + 0*h. Factor k(w).
2*w**2*(w - 2)*(w + 1)/11
Factor f**2 - 3 - 894*f + 3 + 453*f + 447*f - 7.
(f - 1)*(f + 7)
Suppose -1970 = -12*d + 7*d. Let z = d + -391. Solve -9/5*x**z + 3/5*x**2 + 6/5*x - 3/5*x**4 + 0 + 3/5*x**5 = 0 for x.
-1, 0, 1, 2
Factor 263/3*r**2 + 17161/3 - 1/3*r**3 - 17423/3*r.
-(r - 131)**2*(r - 1)/3
Suppose 4*d = -15*d - 19. Let t be (-406)/(-116) + d*2. Factor -3/4*i**5 - 3/4*i + 0 + 0*i**2 + t*i**3 + 0*i**4.
-3*i*(i - 1)**2*(i + 1)**2/4
Let v(l) be the first derivative of -3*l**5/25 + 213*l**4/20 - 138*l**3/5 - 7215. Solve v(g) = 0 for g.
0, 2, 69
Let q = -43 + 1037/24. Let j(o) be the third derivative of -8*o**2 + 1/6*o**5 + 1/12*o**6 + q*o**4 + 1/42*o**7 + 1/336*o**8 + 1/6*o**3 + 0*o + 0. Factor j(r).
(r + 1)**5
Let h(y) = -7*y**3 - 4*y**2 - 47*y + 16. Let s(w) = -8*w**3 - 4*w**2 - 68*w + 16. Let i(u) = -4*h(u) + 3*s(u). Factor i(l).
4*(l - 2)*(l + 1)*(l + 2)
Let k(v) be the first derivative of -v**6/90 + v**5/6 - v**4 - 23*v**3 - 1. Let u(x) be the third derivative of k(x). What is m in u(m) = 0?
2, 3
Factor -30 - 6 - 42*j - 10*j + 15*j - j**2.
-(j + 1)*(j + 36)
Factor -766*d**4 + 12*d**4 + 756*d**4 + 104*d**2 - 26*d**3 - 120*d.
2*d*(d - 6)*(d - 5)*(d - 2)
Let h(z) be the third derivative of -z**6/40 + 1069*z**5/20 - 287287*z**4/8 + 852267*z**3/2 + 8604*z**2. Factor h(f).
-3*(f - 533)**2*(f - 3)
Let r(t) = -20*t - 1596. Let b be r(-80). Let m(j) be the first derivative of -6*j + 17 - 20*j**3 - 39/2*j**2 - 27/4*j**b. Factor m(a).
-3*(a + 1)**2*(9*a + 2)
Let g(u) be the second derivative of -66 + 4/5*u**5 + 0*u**3 - 1/3*u**4 + 0*u**2 - 2/3*u**6 + 2*u + 4/21*u**7. Factor g(v).
4*v**2*(v - 1)**2*(2*v - 1)
Let d(h) be the second derivative of h**6/90 - 19*h**5/30 + 41*h**4/3 - 1157*h**3/9 + 1859*h**2/6 + 2959*h. Find m such that d(m) = 0.
1, 11, 13
Determine s so that -212*s**5 + 3*s**3 + 209*s**5 - 4043*s**2 + 4085*s**2 - 17*s**4 - 25*s**4 = 0.
-14, -1, 0, 1
Let t(w) be the first derivative of 7*w**6/3 - 32*w**5/5 - 17*w**4/2 + 68*w**3/3 + 20*w**2 - 16*w - 805. Solve t(c) = 0.
-1, 2/7, 2
Let v = -623 - -709. Let y be v/215 - (2/(-5) + 0). What is j in 2/5*j - y*j**3 + 0*j**4 + 0 + 0*j**2 + 2/5*j**5 = 0?
-1, 0, 1
Let m(w) be the first derivative of -w**4/60 - 3*w**3/5 - 81*w**2/10 - 97*w + 92. Let y(s) be the first derivative of m(s). Determine u, given that y(u) = 0.
-9
Let d(h) be the second derivative of 1/105*h**7 + 1/15*h**3 - 150 + 2*h - 1/25*h**5 + 2/15*h**4 - 2/5*h**2 - 2/75*h**6. Find k, given that d(k) = 0.
-1, 1, 2
Suppose 8*n - 44 = 10*n. Let w = n + 26. Factor 5*b - 16*b**2 + 5*b + 40*b**3 - 10*b + 52*b**w + 14*b**5.
2*b**2*(b + 2)**2*(7*b - 2)
Solve 1128/19*w + 159048/19 + 2/19*w**2 = 0 for w.
-282
Let t be (-726)/(-72)*(-2 - (-10 + 0)). Factor 2/3*b**2 - 44/3*b + t.
2*(b - 11)**2/3
Let j(v) be the first derivative of -2*v**4/7 + 16*v**3/7 + 27*v**2/7 + 2*v - 371. Factor j(p).
-2*(p - 7)*(2*p + 1)**2/7
Let c(f) be the second derivative of f**4/6 + 1202*f**3 + 3250809*f**2 + 14*f - 19. What is y in c(y) = 0?
-1803
Let p = -150 - -270. Let k be ((-32)/14)/((-1272)/14840). Find o such that p*o + 245/3*o**3 - 175*o**2 - k = 0.
4/7, 1
Suppose -521*q - 70 = -575*q + 92. Factor 0*z + 0 - 4/3*z**q + 1/3*z**4 + z**2.
z**2*(z - 3)*(z - 1)/3
Let b(v) = -471*v**2 + 21574*v + 625. Let a(z) = -234*z**2 + 10788*z + 309. Let s(d) = -7*a(d) + 3*b(d). Factor s(h).
3*(h - 48)*(75*h + 2)
Let l(w) be the first derivative of 1/4*w**2 + 5/6*w**3 - 3/10*w**5 - 1/8*w**4 - w + 162. Let l(z) = 0. What is z?
-1, 2/3, 1
Let q = 216 + -213. Suppose m = 4*j - 11, 3*j + q*m = 5*m + 2. Find k, given that 1 + 11/4*k**3 - j*k + k**4 - 3/4*k**2 = 0.
-2, 1/4, 1
Let v be (((-6)/180)/((-9)/(-18)))/(92/(-345)). Factor v*g**4 - 3/4*g**2 + 0*g + 0 + 1/2*g**3.
g**2*(g - 1)*(g + 