d).
(d - 209)*(d - 1)
Let f be (-70)/105*(-31)/62. Determine r so that 2*r - 8/3 - f*r**2 = 0.
2, 4
Suppose -4*h - z + 15 = -2*h, 4*h = -z + 25. Suppose 3*j = -5*a + 29, h*a - 9 = 5*j - 4. Find p, given that 0 + 1/3*p**5 + 0*p**3 - 4/3*p**2 + 0*p + p**a = 0.
-2, 0, 1
Let i(z) be the second derivative of 19*z - 3/20*z**5 + 0 + 0*z**2 + 1/6*z**4 - 1/168*z**7 + 1/20*z**6 + 0*z**3. Suppose i(h) = 0. Calculate h.
0, 2
Let c(y) = 56*y - 212. Let w(x) = 2*x**2 - 54*x + 210. Let l(i) = -3*c(i) - 2*w(i). Factor l(s).
-4*(s - 3)*(s + 18)
Let a = -190672 + 1525383/8. Factor -3/2 + a*n - 1/8*n**2.
-(n - 4)*(n - 3)/8
Let z(s) be the third derivative of -s**6/40 - 11*s**5/10 - 21*s**4/8 + 2*s**2 + 300*s. Factor z(k).
-3*k*(k + 1)*(k + 21)
Let g be (114/75)/(-19)*20 + 152/70. Find i, given that -g*i**3 + 4/7*i - 6/7*i**2 + 6/7*i**4 + 0 = 0.
-1, 0, 2/3, 1
Suppose 0 = -10*u + 15*u + 3*b + 3086, 2*b = -u - 620. Let r be (-5)/(245/u) - 7. Solve 12/7*a**4 + 0 + r*a**3 + 33/7*a**2 + 6/7*a = 0 for a.
-2, -1, -1/4, 0
Let a(d) = -17*d**3 - 66*d**2 - 205*d - 198. Let t(z) = 70*z**3 + 265*z**2 + 820*z + 790. Let g(b) = 25*a(b) + 6*t(b). Suppose g(v) = 0. Calculate v.
-7, -3, -2
Let r(t) be the third derivative of 2*t**7/105 - 51*t**6/10 + 151*t**5/15 + 51*t**4/2 - 304*t**3/3 - 1174*t**2. Suppose r(s) = 0. Calculate s.
-1, 1, 152
Let d(j) be the second derivative of 5/66*j**3 + 136*j + 2/11*j**2 + 1/132*j**4 - 2. Factor d(c).
(c + 1)*(c + 4)/11
Factor -28*o**2 - 2/17*o**4 + 0*o - 242/17*o**3 + 0.
-2*o**2*(o + 2)*(o + 119)/17
Let m = 18378 - 18374. Let h(t) be the second derivative of -1/65*t**5 - 1/78*t**m + 0 + 0*t**2 - 1/195*t**6 + 0*t**3 + 25*t. Factor h(l).
-2*l**2*(l + 1)**2/13
Let u(o) be the first derivative of 2*o**3 - 48 + 8/5*o**5 - 29/2*o**4 + 29*o**2 - 14*o. Let u(v) = 0. What is v?
-1, 1/4, 1, 7
Let s(j) = -30*j**3 - 84*j**2 + 99*j + 384. Let x(f) = f**4 + 90*f**3 + 248*f**2 - 296*f - 1152. Let i(o) = -8*s(o) - 3*x(o). Factor i(w).
-3*(w - 2)*(w + 4)**3
Let -184*l**2 + 11407/4*l - 3721/4 + 3*l**3 = 0. Calculate l.
1/3, 61/2
Factor -5*p**3 + 756 + 42073*p - 43958*p + 184 + 950*p**2.
-5*(p - 188)*(p - 1)**2
Let f(v) be the second derivative of v**5/150 - 13*v**4/90 - 2*v**3/3 + 5366*v. Factor f(l).
2*l*(l - 15)*(l + 2)/15
Let y = 134305 - 940132/7. Determine k so that 36/7 - y*k**2 - 3/7*k = 0.
-4, 3
Let y(o) be the third derivative of -4*o**7/105 - 133*o**6/240 - 19*o**5/8 + o**4/6 + 44*o**3/3 - 670*o**2 + o. Find m such that y(m) = 0.
-4, -1, 11/16
Let p be -11 - 32 - -1*2*-1. Let x be 3*(2/7 + p/(-63)). Factor 6*a**2 - 5*a**x - 15*a**2 + 2*a**3.
-3*a**2*(a + 3)
Let k be -6 - 14*(-64)/112. Let f(u) be the first derivative of 5*u**3 + 5/2*u**4 - 20*u - 10*u**k + 21 - u**5. Let f(m) = 0. What is m?
-1, 2
Let y(w) be the second derivative of -w**6/315 - 2*w**5/105 + 5*w**4/126 + 452*w. Factor y(p).
-2*p**2*(p - 1)*(p + 5)/21
Let y(s) be the first derivative of 6*s**3/7 - 6190*s**2/7 - 2752*s/7 + 2709. Solve y(t) = 0.
-2/9, 688
Determine y so that 6/11*y**3 + 2/11*y**4 - 6/11*y + 20/11 - 2*y**2 = 0.
-5, -1, 1, 2
Let t = 130781/9 - 14525. Let c(r) be the second derivative of -t*r**3 - 8/15*r**5 + 2/45*r**6 + 23/9*r**4 + 0 + 8*r**2 - 26*r. Suppose c(w) = 0. What is w?
1, 2, 3
Let t = -53715 + 53719. Suppose 3/5*l**t + 858/5*l**2 + 135 + 96/5*l**3 + 288*l = 0. Calculate l.
-15, -1
What is u in -u**3 + 7*u**3 + 134*u**2 - 2*u**3 - 102*u**2 - 49*u + 13*u = 0?
-9, 0, 1
Let g(f) be the first derivative of -f**4/22 - 2*f**3/11 + 4*f**2/11 - 1631. Factor g(a).
-2*a*(a - 1)*(a + 4)/11
Let l(g) be the second derivative of -g**6/30 - 5*g**5/2 - 52*g**4 + 25*g**3/3 + 625*g**2/2 - g + 43. Factor l(k).
-(k - 1)*(k + 1)*(k + 25)**2
Let d(z) = z**3 - 9*z**2 + 10. Let h(w) = -15*w**3 + 144*w**2 - 159. Let l = 49 + -137. Let n be (3/2)/((-4)/l). Let v(g) = n*d(g) + 2*h(g). Factor v(i).
3*(i - 2)**2*(i + 1)
Let v(o) be the second derivative of -12 + 1/80*o**5 + 10*o - 1/16*o**4 - 3/8*o**3 - 5/8*o**2. Factor v(p).
(p - 5)*(p + 1)**2/4
Let v = -9657694/11555 - -5/2311. Let x = 841 + v. Factor -2/5*g**4 - 8/5 - 24/5*g - 12/5*g**3 - x*g**2.
-2*(g + 1)**2*(g + 2)**2/5
Suppose 3706 + 29956*r**2 + 14475*r + 22944*r**2 - 1608*r + 34973*r + 7110 = 0. Calculate r.
-52/115
Factor 498614*d + 57*d**4 - 907924 - 21956*d**3 + 215608*d**2 + 168*d**4 + 215296*d**2 - 2*d**5 + 139*d**4.
-2*(d - 61)**3*(d - 1)*(d + 2)
Let c be 35*1 + -1 + 6. Determine f so that -22*f**3 + 13*f**2 + 11 - 4*f**2 + c - 99*f + 36*f**2 + 25*f**3 = 0.
-17, 1
Determine r, given that 6/5*r**3 + 2/15*r**4 + 16/3 - 28/15*r**2 - 24/5*r = 0.
-10, -2, 1, 2
Let z(c) = 5*c**4 - 147*c**3 - 930*c**2 - 1900*c - 1256. Let t(o) = -o**4 - o**3 + 6*o. Let m(a) = 4*t(a) + z(a). What is v in m(v) = 0?
-2, 157
Let u(v) be the second derivative of 64/3*v**3 + 2*v + 64*v**2 + 43 + 10/3*v**4 + 1/5*v**5. What is w in u(w) = 0?
-4, -2
Let f(m) be the third derivative of m**8/840 + 88*m**7/525 + 13*m**6/50 - 386*m**5/75 + 953*m**4/60 - 116*m**3/5 + m**2 + 173. Let f(s) = 0. Calculate s.
-87, -4, 1
Solve -56/5 - 6/5*c**4 - 2/15*c**3 + 62/5*c**2 + 2/15*c = 0.
-28/9, -1, 1, 3
Let a be (-1)/3 + (-112)/(-21). Suppose 155*r**3 + 217*r + a*r**5 - 45*r**4 - 64*r - 255*r**2 - 60 + 47*r = 0. Calculate r.
1, 2, 3
Let d(o) be the first derivative of -15/2*o**3 - 96 - 2*o - 6*o**2 - 27/8*o**4. Determine u so that d(u) = 0.
-2/3, -1/3
Let r(i) = 14*i**2 - 176*i + 177. Let p(g) = 10*g**2 - 178*g + 178. Let w(k) = -3*p(k) + 2*r(k). Factor w(a).
-2*(a - 90)*(a - 1)
Factor -28/3*a + 3 + 1/3*a**4 + 10*a**2 - 4*a**3.
(a - 9)*(a - 1)**3/3
Let w(i) be the second derivative of i**8/2240 + 3*i**7/1120 - i**5/40 - i**3/3 + 13*i**2/2 - 2*i - 39. Let l(a) be the second derivative of w(a). Factor l(n).
3*n*(n - 1)*(n + 2)**2/4
Let v(f) = 4*f**2 - 21*f - 42. Let k(x) = -7*x**2 + 41*x + 84. Let i(z) = 3*k(z) + 5*v(z). Let g be i(20). Factor 0*j + 0 - 2/15*j**g.
-2*j**2/15
Let j = 4191/301 - -61751/602. Find i such that -66*i + 235*i**2 - 5/4*i**5 + 83/4*i**4 - 72 - j*i**3 = 0.
-2/5, 1, 4, 6
Suppose -1669 = -2*c + o, -5*o + 4135 = 32*c - 27*c. Suppose 38 = -813*n + c*n. What is w in 1/2*w**3 - 1/2*w - 2 + n*w**2 = 0?
-4, -1, 1
Let c be 10*((-19)/6 - -3) + (-276125)/(-75). Factor -2/5*m**4 + c*m + 122/5*m**3 - 504*m**2 - 3200.
-2*(m - 20)**3*(m - 1)/5
Suppose -504/5 - 278/5*o**2 + 8*o**3 - 2/5*o**4 + 744/5*o = 0. Calculate o.
1, 6, 7
What is a in -169/2*a**5 + 0 + 32*a**2 + 0*a - 39/2*a**4 + 72*a**3 = 0?
-8/13, 0, 1
Let s(z) be the second derivative of 271*z - 16/21*z**3 - 12/7*z**2 + 1/14*z**4 + 0. Solve s(v) = 0 for v.
-2/3, 6
Suppose -3*a - 17 = -4*a. Suppose 0 = 22*x - 1168 - 372. What is p in x - 14 + 40*p + 27 + a + 4*p**2 = 0?
-5
Let n = -597086 - -597086. Find v, given that n - 4/3*v**2 + 0*v - 1/3*v**4 + 37/9*v**3 = 0.
0, 1/3, 12
Let r(s) be the first derivative of -s**3/15 + 7*s**2/10 - 12*s/5 + 957. Factor r(u).
-(u - 4)*(u - 3)/5
Let s(y) = 2*y**2 + 74*y - 73. Let g be s(-38). Let d(a) be the first derivative of -2/21*a**g - 2/7*a + 2 - 5/14*a**2. Factor d(l).
-(l + 2)*(2*l + 1)/7
Let a = -1670 + 1674. Let u(r) be the first derivative of -9/4*r**2 - 3/8*r**a - 1 - 2*r**3 + 0*r. Factor u(w).
-3*w*(w + 1)*(w + 3)/2
Let g(r) = -4*r**3 - 118*r**2 - 616*r - 3. Let a(p) = 8*p**3 + 230*p**2 + 1232*p + 5. Let u(v) = -3*a(v) - 5*g(v). Factor u(x).
-4*x*(x + 11)*(x + 14)
Suppose -3*l + 2*n = n - 34, 2*l - 2*n = 20. Suppose -l = -3*m + 45. Solve 4 + 1 - 3 - d**2 + m*d - 18*d = 0.
-1, 2
Let l(p) be the second derivative of -400*p**7/21 + 72*p**6 + 351*p**5/10 - 1573*p**4/6 - 160*p**3 - 36*p**2 + 556*p - 2. Suppose l(o) = 0. Calculate o.
-1, -3/20, 2
Let b(k) be the second derivative of k**4/36 - 103*k**3/9 + 335*k**2/2 + 2*k - 928. Factor b(r).
(r - 201)*(r - 5)/3
Let h be 3 + 1 + 14/(-4). Let u = 13022 - 13022. Factor -1/2*d**3 + 0 + u*d + h*d**2.
-d**2*(d - 1)/2
Let n(i) = 2*i**2 - 8*i - 5. Let b(l) = -3*l**2 + 12*l + 7. Let q(d) = 5*b(d) + 8*n(d). Let t(k) = 1. Let o(v) = -4*q(v) - 36*t(v). Factor o(h).
-4*(h - 2)**2
Factor 3*u**4 - 3*u**2 - 2171*u**3 - 6*u**4 + 2*u**4 + 2167*u**3.
-u**2*(u + 1)*(u + 3)
Suppose 1184*l - 78 - 1641 + 4*l**2 + 531 = 0. What is l?
-297, 1
Factor -807/2*y**2 + 3/2*y**3 - 26934 + 27336*y.
3*(y - 134)**2*(y - 1)/2
Suppose 453*b - 527*b + 222 = 