= 0.
-14, -4, 4
Suppose 4*n + d = 4, 2*n - 3*d - 25 = -9. Let j(c) = c**3 - c**2 + 2*c - 3. Let m be j(n). Factor -2*s**5 + 36*s**4 - s**m + 6*s**2 + 3*s - 42*s**4.
-3*s*(s - 1)*(s + 1)**3
Let l(d) be the first derivative of 148*d**3/3 - 72*d**2 - 4*d - 2456. Factor l(o).
4*(o - 1)*(37*o + 1)
Let d(c) be the second derivative of 1/168*c**7 + 0 - 1/16*c**4 - 1/12*c**3 + 1/80*c**5 - 11*c + 1/40*c**6 + 0*c**2. Factor d(n).
n*(n - 1)*(n + 1)**2*(n + 2)/4
Let y be 822/(-105)*333/74. Let k = y - -179/5. Let k*j + 0 + 2/7*j**3 + 6/7*j**2 = 0. What is j?
-2, -1, 0
Let z(n) be the third derivative of 7*n**7/50 - 707*n**6/25 + 4677*n**5/25 + 302*n**4 + 896*n**3/5 - 4*n**2 + 241*n - 4. Determine a so that z(a) = 0.
-2/7, 4, 112
Let l = -508362 + 508368. Factor -l + 2/13*d**2 - 20/13*d.
2*(d - 13)*(d + 3)/13
Suppose 47*s**2 + 26*s - 51*s**2 - 225*s + 448 - 8*s - 9*s = 0. Calculate s.
-56, 2
Let v be (-670)/4*16/10. Let x be (1 - 2)*v/134. Factor 2 - 1/2*g**x + 3/2*g.
-(g - 4)*(g + 1)/2
Factor -15/4*p**4 - 153/2*p**2 + 0 + 0*p + 771/4*p**3.
-3*p**2*(p - 51)*(5*p - 2)/4
Let q be -6 - -25*20/50. Let r be (21 + 0)*1 + 2. Factor -3 + q + n**2 - r*n + 25*n.
(n + 1)**2
Let w(c) be the first derivative of -2*c**3/15 - 3778*c**2/5 - 7136642*c/5 + 9508. Let w(z) = 0. Calculate z.
-1889
Let y(i) be the second derivative of -i**7/39 - 103*i**6/195 + 541*i**5/130 - 545*i**4/78 + 38*i**3/13 - 58*i - 4. Suppose y(j) = 0. Calculate j.
-19, 0, 2/7, 1, 3
Suppose 114*d = 101 + 469. Let s(x) be the third derivative of 0 + 1/240*x**6 + 0*x + 19*x**2 + 0*x**3 + 0*x**4 - 1/30*x**d. Suppose s(t) = 0. What is t?
0, 4
Let s(n) be the second derivative of 0 + 15*n - 1/4*n**4 + 108*n**2 + 17*n**3. Let s(t) = 0. What is t?
-2, 36
Let n(s) be the third derivative of -s**6/360 - s**5/36 - 7*s**4/72 - s**3/6 + 4*s**2 - 39. Factor n(m).
-(m + 1)**2*(m + 3)/3
Factor -484 - 1682/3*f - 76*f**2 + 2/3*f**3.
2*(f - 121)*(f + 1)*(f + 6)/3
Let h(m) = 16*m**2 + 692*m + 600. Let u(i) = 65*i**2 + 2758*i + 2400. Let p(k) = 9*h(k) - 2*u(k). Determine x so that p(x) = 0.
-50, -6/7
Let j(k) be the third derivative of -3*k**2 + 1/30*k**5 + 3/4*k**4 + 0*k + 0 + 0*k**3. What is c in j(c) = 0?
-9, 0
Let p(o) = 3*o**2 + 1104*o - 306992. Let t(z) = z**2 - z - 19. Let k(i) = -3*p(i) + 12*t(i). Factor k(r).
3*(r - 554)**2
Let n(b) = -300*b - 77698. Let t be n(-259). Factor 6/5*d**2 - 2*d**3 - 6/5 + t*d.
-2*(d - 1)*(d + 1)*(5*d - 3)/5
Let t(z) be the third derivative of -z**5/20 + 153*z**4/8 + 77*z**3 + 94*z**2 - 7*z + 2. Solve t(s) = 0.
-1, 154
Determine r, given that -344*r - 830*r + 191*r + 9*r**2 - 56*r - 155*r - 399 = 0.
-1/3, 133
Let s(l) be the third derivative of -l**6/60 + l**5/30 + 23*l**4/6 + 80*l**3/3 + 7625*l**2. Factor s(q).
-2*(q - 8)*(q + 2)*(q + 5)
Let d(l) be the first derivative of 2*l**3/27 - 2*l**2 + 112*l/9 + 1350. Factor d(u).
2*(u - 14)*(u - 4)/9
Factor -1/2*w**3 + 20/3*w - 7/3*w**2 + 0.
-w*(w - 2)*(3*w + 20)/6
Let p be 9/((-38934)/(-49))*(-3)/1. Let u = p + 467/103. Factor -9/2*z**3 + u*z - 3*z**2 + 3.
-3*(z - 1)*(z + 1)*(3*z + 2)/2
Let s(k) be the second derivative of -3*k**5/110 + 51*k**4/22 - 40*k**3 - 10*k - 65. Factor s(m).
-6*m*(m - 40)*(m - 11)/11
Suppose 22*a - 3120 = -17*a. Suppose 10*l - 100 = -a. Factor -3 + 9/2*q - 3/2*q**l.
-3*(q - 2)*(q - 1)/2
Determine y, given that -3711*y - 5302/5 - 1589*y**3 - 21201/5*y**2 + 3/5*y**4 = 0.
-1, -2/3, 2651
Let a be (-20)/(560/294)*(-4)/7. Suppose u = a*u - 0*u. Factor 3/5*p**5 - 9/5*p**4 + 0 - 3/5*p**2 + u*p + 9/5*p**3.
3*p**2*(p - 1)**3/5
Let s be (-7208)/(-159) - (-1364)/(-31). Factor 0*w**4 - 2/3*w**5 + 0*w + 2*w**3 + 0 + s*w**2.
-2*w**2*(w - 2)*(w + 1)**2/3
Suppose -2*u = m - 3 - 5, 3*u = -2*m + 10. Suppose -141 = -45*b - u. Factor 1 - 1/2*j**b + 3/2*j + 0*j**2.
-(j - 2)*(j + 1)**2/2
Let g(y) be the first derivative of -2*y**3/33 + 75*y**2/11 + 468*y/11 - 40. Factor g(s).
-2*(s - 78)*(s + 3)/11
Let o = -68350 - -615158/9. Find z such that -10/9*z**3 + 0 - o*z - 16/9*z**2 - 2/9*z**4 = 0.
-2, -1, 0
Let k(z) be the third derivative of -7*z**5/45 + 43*z**4/36 - z**3/3 - 297*z**2. Factor k(v).
-2*(v - 3)*(14*v - 1)/3
Suppose 13 = -9*t - 23. Let k be (5 + t)*208/48. Factor -k*i + 1/3*i**4 - 2 - 7/3*i**2 + 1/3*i**3.
(i - 3)*(i + 1)**2*(i + 2)/3
Let s(v) = -v**2 + 172*v - 6433. Let y be s(55). Find d, given that 1815/2*d**y + 73205/4 - 55*d**3 - 6655*d + 5/4*d**4 = 0.
11
Suppose 0 = 67*w - 72*w + 20. Factor -12*j**2 - w + 0*j**3 + 2*j**3 + 2*j**3 + 12*j.
4*(j - 1)**3
Let h(f) = -f**3 + 48*f**2 - 92*f. Let d be h(46). Factor -32/9*k + d + 18*k**4 - 280/9*k**2 - 64*k**3.
2*k*(k - 4)*(9*k + 2)**2/9
Let l(o) be the third derivative of -o**7/1890 - 7*o**6/360 - 2*o**5/9 - 25*o**4/54 + 3640*o**2. Solve l(k) = 0 for k.
-10, -1, 0
Let s = -53 + 59. Suppose -5091 = -s*r + 3621. Determine p, given that 1432*p + 16*p**2 + 2662*p**5 - 1432*p + r*p**4 + 264*p**3 = 0.
-2/11, 0
Factor 459*a**2 + 243602 + 244998*a + 850*a**2 - 111*a**2 + 2*a**3 + 93*a**2 + 107*a**2.
2*(a + 1)*(a + 349)**2
Let m = -12859 + 12864. Let s(o) be the second derivative of -o**3 + 1/10*o**m - 2*o**2 - 4*o + 0 + 0*o**4. Factor s(x).
2*(x - 2)*(x + 1)**2
Let a(r) = -r**2 - 3*r - 1. Let s(q) = -q**2 + 10*q + 53. Let z(p) = -6*a(p) + 3*s(p). What is w in z(w) = 0?
-11, -5
Let t(y) be the first derivative of y**3/6 - 79*y**2/16 + 57*y/8 - 7368. Factor t(p).
(p - 19)*(4*p - 3)/8
Let g(p) = -4*p**2 + 164*p - 174. Let t(q) = q**2 + 3*q + 3. Let c(r) = -g(r) - 2*t(r). Factor c(k).
2*(k - 84)*(k - 1)
Suppose 2*j = 4*j + 3*i - 8, -i = 0. Suppose 2654 - 244*w**2 - 505*w + 1697 + 410 - 917 + 4101*w + j*w**3 = 0. What is w?
-1, 31
Suppose -18*z = -15*z - 1365. Suppose 0 = 5*w + 3*h - z, 0 = 8*h - 4*h + 20. Factor 3*y - 5*y - 87*y**2 + w*y**2.
y*(7*y - 2)
Let x(f) = 4*f**2 - 3*f - 2. Let t(j) = -j**2. Suppose m - 3*m - 5 = 3*v, m = -v. Suppose -5*w = -m - 0. Let g(y) = w*x(y) + 5*t(y). Factor g(o).
-(o + 1)*(o + 2)
Suppose 5*p = m + 13, -17*m - 11 = -5*p - 15*m. Let z(n) be the second derivative of -17/9*n**p + 0 + 5/18*n**4 + 2*n**2 + 26*n. Let z(f) = 0. Calculate f.
2/5, 3
Let d(n) be the second derivative of -8*n**7/21 + 34*n**6/15 - 9*n**5/5 - 17*n**4/3 + 26*n**3/3 - 2336*n. What is s in d(s) = 0?
-1, 0, 1, 13/4
Let o be ((57/95)/((-18)/20))/((-38)/171). Factor -3/2*k**o - 8215/2*k - 158*k**2 + 2809.
-(k + 53)**2*(3*k - 2)/2
Let k(g) = 45*g**4 + 370*g**3 - 10*g**2 - 1160*g + 865. Let p(b) = -5*b**4 - 41*b**3 + b**2 + 129*b - 96. Let j(s) = 6*k(s) + 55*p(s). Solve j(z) = 0 for z.
-6, -3, 1
Let h(i) be the third derivative of i**8/1344 + 23*i**7/210 + 337*i**6/80 - 1081*i**5/60 + 2209*i**4/96 - 1123*i**2. Factor h(s).
s*(s - 1)**2*(s + 47)**2/4
Let b(v) be the second derivative of v**7/6 - 803*v**6/30 + 11253*v**5/10 + 7511*v**4/3 + 3364*v**3/3 - 5867*v. Let b(u) = 0. Calculate u.
-1, -2/7, 0, 58
Suppose -214 = 12*z - 67*z + 61. Let h(p) be the third derivative of 0 + 0*p**4 + 0*p - 1/720*p**6 + 0*p**3 - 26*p**2 + 0*p**z. Let h(q) = 0. What is q?
0
Let r(h) be the third derivative of h**5/30 + 10*h**4 + 1200*h**3 - 7*h**2 - 10*h. Find o, given that r(o) = 0.
-60
Find x such that 3/4*x**3 + 51483/2 + 198*x**2 + 53055/4*x = 0.
-131, -2
Factor -1/4*q**2 + 189/4 + 47*q.
-(q - 189)*(q + 1)/4
Let g(v) be the second derivative of 1/40*v**5 - 1/60*v**6 - 1/12*v**3 + 1/24*v**4 + 16 + 0*v**2 + 2*v. Determine n so that g(n) = 0.
-1, 0, 1
Let s(t) = -16*t**2 - 788*t + 243. Let n(d) = -5*d**2 - 197*d + 60. Let r(f) = 25*n(f) - 6*s(f). Find l such that r(l) = 0.
-7, 6/29
Let o = 5517/63104 - -3/3712. Let i(l) be the first derivative of -2/85*l**5 - 17 - 4/51*l**3 - o*l**4 + 0*l**2 + 0*l. Solve i(z) = 0.
-2, -1, 0
Let u(v) = 14*v**2 + 104*v + 1350. Let h(l) = 24*l**2 + 208*l + 2698. Let k(a) = 3*h(a) - 5*u(a). Find m, given that k(m) = 0.
-28, -24
Let v(k) be the second derivative of -11/60*k**6 + 0*k**2 + 13/40*k**5 - 8*k + 17 + 5/6*k**4 - 1/3*k**3. Suppose v(c) = 0. What is c?
-1, 0, 2/11, 2
Let a(g) = 12*g - 9. Suppose 7 = 2*s - v, -4*s + 8*s + 3*v + 11 = 0. Let t be a(s). Factor t*l**3 - 3/2*l - 3/2*l**2 + 0.
3*l*(l - 1)*(2*l + 1)/2
Let r = 1537 - 1545. Let c be (r/10)/(320/(-1200)). Solve -3*a - 6/5 - 12/5*a**2 - 3/5*a**c = 0.
-2, -1
Let j(u) be the first derivative of -u**6/2 - 9*u**5/5 + 171*u**4/4