e the first derivative of i(n). Factor b(j).
(j - 3)*(j + 14)/3
Suppose 2*f + 838 = -5*o + 819, -4*o = 5*f + 5. Factor 0 - 1/7*w**4 + 3/7*w**2 - 18/7*w + 4/7*w**f.
-w*(w - 3)**2*(w + 2)/7
Suppose 0 = -0*s + 10*s - 5960. Suppose 3*u = s + 10. What is f in -69*f + 2*f**2 + 118 + u - 11*f + 3*f**2 = 0?
8
Let v(d) be the first derivative of 55*d**3/9 - 145*d**2/2 - 180*d - 8036. Solve v(q) = 0.
-12/11, 9
Let b be (-2 + -3)*2 + 24786/972. Let 3/4*v**3 - b - 33/4*v + 23*v**2 = 0. Calculate v.
-31, -2/3, 1
Factor -3217*d**4 + 50*d**3 + 116*d**2 - 32*d + 1600*d**4 + 1609*d**4.
-2*d*(d - 8)*(d + 2)*(4*d - 1)
Let n be -3 - 1 - 148/37. Let h be -1*(-7)/4 - n/32. Factor -1/2*u**3 + 21*u**h + 1372 - 294*u.
-(u - 14)**3/2
Let y be (-30)/15*(53/54 + -1). Let d(j) be the second derivative of 0 + 0*j**2 + 0*j**3 - y*j**4 - 16*j - 1/90*j**5. Solve d(u) = 0 for u.
-2, 0
Let h = 5214/5593 - 60/799. Find i such that h*i + 8/7*i**2 - 2/7 = 0.
-1, 1/4
Let k(g) be the first derivative of 5*g**6/6 - 28*g**5 - 15*g**4/4 + 410*g**3/3 + 140*g**2 + 5144. Suppose k(j) = 0. Calculate j.
-1, 0, 2, 28
Let s(b) = 871*b + 9587. Let z be s(-11). Suppose -3/2*i**2 + 3/4*i**4 + 9*i - 9/4*i**3 - z = 0. What is i?
-2, 1, 2
Let n(k) be the third derivative of -k**8/2352 + 5*k**7/294 - k**6/20 - 47*k**5/210 + 43*k**4/168 + 23*k**3/14 + 226*k**2 + 2*k. Suppose n(q) = 0. What is q?
-1, 1, 3, 23
Let p(a) be the second derivative of a**4/3 + 772*a**3/3 + 74498*a**2 + 6*a - 47. Solve p(v) = 0.
-193
Let v(j) be the first derivative of j**3/18 + 2*j**2/3 - 171*j/2 - 4131. Factor v(a).
(a - 19)*(a + 27)/6
Factor -g**3 - 1528*g**5 + 7*g**4 + 27*g**2 - 24*g - 94*g**2 + 1529*g**5 + 180.
(g - 2)**2*(g + 3)**2*(g + 5)
Let f be -1*-102*16/6. Let m be (2/(-6))/(-8 + f/36). Factor -3 + m*r**4 - 33/4*r - 3/4*r**3 - 27/4*r**2.
3*(r - 4)*(r + 1)**3/4
Let c = 432 - 427. Factor 341*s**5 - 680*s**5 - 4*s - 3*s**3 - 8*s**2 + 340*s**c + 2*s**4.
s*(s - 2)*(s + 1)**2*(s + 2)
Factor -10727643/2*r - 1/2*r**3 + 5673/2*r**2 + 6761990971/2.
-(r - 1891)**3/2
Suppose 0 = -3*z - 6*z + 27. Determine h, given that 252*h + 41*h**3 + 411 - 303 - 189*h**z - 134*h**3 - 24*h**4 - 789*h**2 = 0.
-6, -1/4, 1/2
Suppose -21 + 231 = 71*n - n. What is u in n*u - 1/2*u**2 + 27/2 = 0?
-3, 9
Solve 340*s - 169*s + 2*s**5 + 21*s**2 - 4*s**4 - 17*s**2 - 173*s = 0.
-1, 0, 1
Factor -6678*k + 0*k**2 - 5*k**4 + 2*k**2 + k**2 + 25*k**3 + 2*k**2 + 6653*k.
-5*k*(k - 5)*(k - 1)*(k + 1)
Factor -57800/3 - 4/9*q**3 + 656/9*q**2 - 24820/9*q.
-4*(q - 85)**2*(q + 6)/9
Let a(j) be the second derivative of -3*j**5/100 + 19*j**4/5 - 149*j**3/10 + 111*j**2/5 + 3498*j. Factor a(o).
-3*(o - 74)*(o - 1)**2/5
Let g(j) = -j**2 + 6*j + 58. Let b be g(-5). Factor -23*l**2 - 5*l**4 + 8*l**2 - 21*l**b - 4*l**3 + 5*l**5.
5*l**2*(l - 3)*(l + 1)**2
Let t(o) = 111*o**2 - 54*o + 2677. Let z(i) = -29*i**2 + 14*i - 669. Let c(w) = 6*t(w) + 23*z(w). Factor c(r).
-(r - 25)*(r + 27)
Let k(l) be the first derivative of 6*l**2 - 12*l + 132 + l**3 - 3/4*l**4. Suppose k(j) = 0. Calculate j.
-2, 1, 2
Let o(r) be the third derivative of -14/39*r**3 - 35*r**2 + 0 + 0*r - 1/390*r**5 - 5/52*r**4. Factor o(c).
-2*(c + 1)*(c + 14)/13
Suppose 0 = 5*u - 0*u + 10. Let k be (8 + 456/(-60))/(u/(-10)). Factor 1/5 - 1/5*x**k + 1/5*x - 1/5*x**3.
-(x - 1)*(x + 1)**2/5
Let a(b) be the second derivative of 1/5*b**5 + 13/3*b**4 - 28/3*b**3 - b - 113 + 0*b**2. Let a(h) = 0. Calculate h.
-14, 0, 1
Let h(q) be the third derivative of -5/336*q**8 + 0 - 32*q**6 + 0*q**4 + 0*q + 177*q**2 + 0*q**3 - 1024/3*q**5 - 8/7*q**7. Solve h(d) = 0.
-16, 0
Let n(w) = 162*w**4 + 358*w**3 + 459*w**2 - 75*w - 205. Let x(b) = 47*b**4 + 119*b**3 + 153*b**2 - 25*b - 68. Let i(q) = -2*n(q) + 7*x(q). Factor i(a).
(a + 1)**2*(a + 22)*(5*a - 3)
Let x(g) be the third derivative of g**7/504 + g**6/144 - g**5/12 + 7*g**4/2 - 10*g**2. Let t(u) be the second derivative of x(u). Factor t(o).
5*(o - 1)*(o + 2)
Suppose -v = -102*g + 106*g + 3, -v = -2*g + 3. Factor g*o + 5/3*o**2 + 0.
5*o**2/3
Let d(f) be the first derivative of 2*f**3/15 - 366*f**2/5 + 66978*f/5 - 774. Find s such that d(s) = 0.
183
Suppose 438 = 14*v + 410. Let p(h) be the first derivative of -3/5*h + 1/20*h**v - 21 + 2/15*h**3 + 1/40*h**4. Factor p(o).
(o - 1)*(o + 2)*(o + 3)/10
Suppose 6*w**2 + 6*w**2 + 21*w**3 - 3*w - 12*w**3 - 12 - 6*w**3 = 0. What is w?
-4, -1, 1
Let u(p) = 30*p**2 + 93*p - 17. Let b be (2*-3)/((-7)/(1 - 8)). Let k(a) = 15*a**2 + 46*a - 9. Let g(f) = b*u(f) + 13*k(f). Factor g(i).
5*(i + 3)*(3*i - 1)
Suppose -2*o**5 - 6*o**4 + 3676*o**3 - 3672*o**3 + 4*o**4 + 3*o**2 - 3*o**2 = 0. What is o?
-2, 0, 1
Suppose 17*u - 660 = -626. Let a(f) be the third derivative of -1/20*f**4 + 14*f**u - 1/150*f**5 + 0 - 2/15*f**3 + 0*f. Find h, given that a(h) = 0.
-2, -1
Let f(a) = -a**3 - 13*a**2 + 6*a + 29. Let p be f(-14). Let x = 143 - p. Find t such that 84*t**3 + 4*t**4 - 576*t + 256 + 388*t**x - 77*t**3 - 79*t**3 = 0.
1, 8
Let w(o) be the first derivative of o**4/24 - 13*o**3/18 + 35*o**2/12 + 49*o/6 + 741. Factor w(u).
(u - 7)**2*(u + 1)/6
Factor 156*z**5 + 155*z**5 - 120*z**2 + 74*z**3 - 583*z**5 + 121*z**5 - 5*z**4 + 150*z**5.
-z**2*(z - 5)*(z - 2)*(z + 12)
Let a(y) = -5*y**2 + 302*y - 3449. Let k(s) = 15*s**2 - 908*s + 10341. Let o(i) = 19*a(i) + 6*k(i). Factor o(m).
-5*(m - 41)*(m - 17)
Let d(g) = 28*g**3 - 2820*g**2 + 164248*g + 167088. Let l(w) = -10*w**3 + 940*w**2 - 54749*w - 55696. Let y(u) = 3*d(u) + 8*l(u). Factor y(h).
4*(h - 118)**2*(h + 1)
Let c(z) be the first derivative of z**6/15 + 72*z**5/25 + 311*z**4/10 + 1832*z**3/15 + 336*z**2/5 - 640*z - 3108. Solve c(j) = 0 for j.
-25, -4, 1
Let o = -899 - -4497/5. Suppose 319 = -4*x + 327. Let 0 + o*p**x - 2/5*p = 0. What is p?
0, 1
Let r(u) be the second derivative of 1 + 4/5*u**5 - 2/3*u**6 + u**4 + 0*u**2 + 0*u**3 - 4/21*u**7 - 16*u. Let r(t) = 0. What is t?
-3, -1/2, 0, 1
What is v in 156 + 17298*v**5 + 137 + 139 + 123504*v**4 - 7560*v + 19044*v**2 + 121682*v**3 = 0?
-6, -2/3, 3/31
Let g(l) be the third derivative of 165*l**2 + 1/6*l**3 + 1/240*l**5 - 5/96*l**4 + 0*l + 0. Factor g(d).
(d - 4)*(d - 1)/4
Let j(b) be the third derivative of b**5/30 + 259*b**4/6 + 67081*b**3/3 - 4*b**2 - b + 28. What is a in j(a) = 0?
-259
Let h be 7/48*62/217. Let u(o) be the third derivative of -1/6*o**3 + 1/20*o**5 + 0*o + 0 + 1/120*o**6 - 1/105*o**7 - h*o**4 + o**2. Factor u(l).
-(l - 1)**2*(l + 1)*(2*l + 1)
Let t = 4744/286965 - 3/4555. Let a(o) be the third derivative of 0*o + t*o**3 + 0 - 1/630*o**5 + 0*o**4 + 23*o**2. Solve a(s) = 0 for s.
-1, 1
Let i be (-21)/14*(-238)/21 - (1 - 2). Let u(d) be the third derivative of 1/6*d**4 - i*d**2 - 2/3*d**3 + 0*d + 0 - 1/60*d**5. Factor u(o).
-(o - 2)**2
Solve 456/5 + 4098/5*h**2 + 547*h - 9/5*h**3 = 0.
-1/3, 456
Find w such that 1014/17 + 2/17*w**3 + 182/17*w - 46/17*w**2 = 0.
-3, 13
Let w = -174154 + 522556/3. Suppose -w*o**2 - 1058/3 - 1150/3*o - 2/3*o**3 = 0. What is o?
-23, -1
Let l be 48/(-128) - 26/16. Let x(d) = d**5 - d**4 + d. Let p(m) = -24*m**5 + 28*m**4 - 6*m**3 + 2*m**2 - 22*m. Let n(b) = l*p(b) - 44*x(b). Factor n(k).
4*k**2*(k - 1)**3
Let k(w) be the first derivative of 7*w**6/3600 + 13*w**5/240 + 3*w**4/40 - 2*w**3/3 - w**2 + 67. Let s(y) be the third derivative of k(y). Factor s(l).
(l + 9)*(7*l + 2)/10
Let l(p) = 10*p**2 - 95*p - 48. Let t be l(10). Let m(d) be the second derivative of 0 + t*d**3 - 3*d**2 - 3/8*d**4 - 17*d. Factor m(v).
-3*(v - 2)*(3*v - 2)/2
Let q be 148/18 - (-6 + (-392)/(-63)). Let i be (-6)/(q/4 - 5). What is s in 17*s**4 + 4*s**3 - 2*s**i - 5*s**4 - 13*s**4 - s**3 = 0?
0, 1, 2
Factor -16/3*a - 10/3*a**2 + 8 + 2/3*a**3.
2*(a - 6)*(a - 1)*(a + 2)/3
Let z(b) = b**2 + 9*b + 3. Let m be z(-9). Factor 2 + 2703*s - 2709*s + 2*s**m + 2.
2*(s - 1)**2*(s + 2)
Let r(s) = s**2 + 150*s - 5. Let v(p) = -76*p + 2. Let w(q) = -2*r(q) - 5*v(q). Factor w(f).
-2*f*(f - 40)
Let f be ((-72012)/(-45) - -2) + (-135)/225. Let i = f + -1601. Determine j so that -40/3*j - 200/3 - i*j**2 = 0.
-10
Let n(c) be the first derivative of 0*c - 8/15*c**3 - 208 + 1/5*c**4 + 4/25*c**5 + 0*c**2. Determine w, given that n(w) = 0.
-2, 0, 1
Factor -133*b - 2*b**2 + 60*b + 57*b + 48*b - 110.
-2*(b - 11)*(b - 5)
Let q(x) be the first derivative of 3*x**4/32 +