*4.
5*g**3*(g + 4)
Let z(g) be the third derivative of -4*g**2 - 1/720*g**6 + 1/36*g**4 + 2 + 1/3*g**3 + 0*g - 1/120*g**5. Let z(l) = 0. What is l?
-3, -2, 2
Factor 42 - 1/3*a**2 - 5*a.
-(a - 6)*(a + 21)/3
Let k(j) be the second derivative of -11/2*j**3 + 0 + 0*j**2 - 133*j + 1/4*j**4. Find g, given that k(g) = 0.
0, 11
Let 84*i**3 + 374/3*i - 472/3*i**2 - 2/3*i**5 - 36 - 44/3*i**4 = 0. Calculate i.
-27, 1, 2
Factor -608/5*p**2 + 44/5*p**3 + 384/5 + 400*p.
4*(p - 8)*(p - 6)*(11*p + 2)/5
Suppose -50*g + 357 = 69*g. Let a(c) be the first derivative of -5 - 6/5*c**2 - 18/5*c - 2/15*c**g. Let a(h) = 0. What is h?
-3
Let q(k) be the third derivative of k**7/70 - k**6/90 + 79*k**3/6 + 80*k**2. Let v(m) be the first derivative of q(m). Factor v(r).
4*r**2*(3*r - 1)
Let k(g) be the third derivative of g**6/40 - 51*g**5/5 + 203*g**4/8 + 3*g**2 + 6. What is s in k(s) = 0?
0, 1, 203
Solve -25*b**2 + 52*b**2 - 2*b**3 - 46 + 17*b**2 + 2*b**2 + 2*b = 0.
-1, 1, 23
Let t(f) be the second derivative of -f**6/30 + 47*f**5/20 + 289*f**4/4 + 3857*f**3/6 + 1519*f**2 - 3*f + 36. Factor t(c).
-(c - 62)*(c + 1)*(c + 7)**2
Let v = -4585 - -4603. Let x(l) be the second derivative of 0 - 1/36*l**4 + 1/6*l**2 + v*l + 0*l**3. Factor x(p).
-(p - 1)*(p + 1)/3
Let n(b) be the third derivative of -1/120*b**6 + 0*b + 13/24*b**4 + 0 + 5/3*b**3 + 1/30*b**5 + 81*b**2. Factor n(z).
-(z - 5)*(z + 1)*(z + 2)
Suppose -12*a**2 + 23*a**2 - 548*a + 75*a**2 + 6*a**3 + 7*a**3 + a**3 - 80 = 0. What is a?
-10, -1/7, 4
Let n be (-8 - -9)/(4/32). Factor -120*g**2 + 15*g**4 - 54*g + 8 + 6*g**3 - 9*g**2 - 6*g**2 - n.
3*g*(g - 3)*(g + 3)*(5*g + 2)
Let r(g) = -325*g**3 - 1330*g**2 - 1200*g + 820. Let j(c) = 27*c**3 + 111*c**2 + 100*c - 68. Let z(a) = 25*j(a) + 2*r(a). Solve z(m) = 0 for m.
-3, -2, 2/5
Let a(k) be the second derivative of 0*k**2 + 17/2*k**6 + 0 - 43*k + 4*k**3 + 27/10*k**5 - 75/14*k**7 - 9*k**4. Solve a(n) = 0.
-2/3, 0, 2/5, 1
Let i(a) be the first derivative of 0*a + 0*a**2 + 3/8*a**4 - 44 - a**3. Factor i(v).
3*v**2*(v - 2)/2
Let c(t) = -979*t - 49927. Let h be c(-51). Factor 259/4*l**h + 49/4*l**3 + 5/4 + 71/4*l.
(l + 5)*(7*l + 1)**2/4
Let h(u) be the third derivative of -1/180*u**6 + 1/18*u**5 - 1/315*u**7 - 1/12*u**4 + 106*u**2 + 0*u + 0 + 0*u**3. Suppose h(v) = 0. Calculate v.
-3, 0, 1
Let v(p) be the first derivative of 3*p**5/20 - 39*p**4/16 + 43*p**3/4 - 45*p**2/8 - 54*p + 1731. Factor v(d).
3*(d - 8)*(d - 3)**2*(d + 1)/4
Let c(w) = -19*w**2 + 35*w - 14. Let u(o) = 34*o**2 - 72*o + 28. Let a(r) = 7*c(r) + 4*u(r). Factor a(y).
(y - 14)*(3*y - 1)
Let f(r) be the third derivative of 89*r**4/24 + 179*r**3/3 - 16*r**2 + 13*r. Let g be f(-4). Determine t so that 2/7*t - 2/7*t**3 + 0 + 0*t**g = 0.
-1, 0, 1
Let p(z) be the third derivative of -z**6/40 + z**5/20 + 17*z**4/8 + 15*z**3/2 + 2538*z**2. Suppose p(b) = 0. What is b?
-3, -1, 5
Let a = -415 + 487. Suppose 101*j - 145 = a*j. Suppose 8*o**j + 42/5*o**2 + 154/5*o**3 - 10*o - 12/5 - 174/5*o**4 = 0. What is o?
-2/5, -1/4, 1, 3
Let x = -392861 - -2750049/7. Solve 2/7*p**2 - x*p + 8 = 0 for p.
4, 7
Factor -12363*x - 4*x**3 + 100*x**2 + 6103*x + 6860*x.
-4*x*(x - 30)*(x + 5)
Let b be 4 + (1 - -3) + -6. Suppose 5*h + 2*j - 633 = 37, -4*h - b*j + 538 = 0. Factor -g**2 - h*g**3 + 131*g**3 - g**2 - 2 - 5*g - 2*g**2.
-(g + 1)**2*(g + 2)
Let c(h) be the second derivative of -h**5/210 + 13*h**4/84 - 80*h**2 + h + 133. Let i(t) be the first derivative of c(t). Solve i(g) = 0.
0, 13
Factor 0 + 3/8*o**2 - 1593/8*o.
3*o*(o - 531)/8
Let k(z) be the third derivative of 0*z**3 + 125/36*z**4 - 166*z**2 + 0 - 3/4*z**5 + 0*z + 1/72*z**6. Factor k(s).
5*s*(s - 25)*(s - 2)/3
Let d = -25514610/17 - -1499289. Let l = 1571 + d. Factor 0 + 4/17*u + l*u**3 + 14/17*u**2.
2*u*(u + 1)*(5*u + 2)/17
Let s(k) = 5*k**2 + 4*k + 1. Let v be s(1). Find r, given that 6*r**3 - 335*r**2 - 13 + 20*r**3 + 9*r**3 - v*r**3 + 131*r = 0.
1/5, 13
Let k(a) = a**3 - 9*a**2 + a - 22. Let r(n) = -31*n**2 - 21*n**2 - 4 + 50*n**2. Let u(p) = 4*k(p) - 22*r(p). Find d, given that u(d) = 0.
-1, 0
Let t(l) = 2*l**3 - 8*l**2 - 14*l + 24. Let k be t(5). Factor 3 + 62*n**2 + 19 + 39 - 10*n**3 - 94*n - k - 15.
-2*(n - 1)**2*(5*n - 21)
Let h be (-3 + (-80)/(-30))*(-7)/21. Factor 0 + 4/9*z - h*z**2.
-z*(z - 4)/9
Let y(m) be the third derivative of -m**7/1050 - m**6/8 + 77*m**5/100 - 233*m**4/120 + 13*m**3/5 - 4*m**2 - 56. Find g, given that y(g) = 0.
-78, 1
Suppose c = -2*n + 249, 6 = -5*c - 9. Let b = n - 124. Solve 0 - 1/3*x + 1/6*x**b = 0 for x.
0, 2
Let y(f) = 7*f**5 + 184*f**4 + 1467*f**3 + 1885*f**2 + 91*f - 522. Let s(r) = -3*r**4 - r**3 + r**2 - 5. Let w(u) = -6*s(u) + 2*y(u). Solve w(o) = 0.
-13, -1, 3/7
Let a(q) be the third derivative of 2/45*q**5 + 1 - 4/9*q**3 - 17*q**2 - 5/12*q**4 + 0*q. Factor a(v).
2*(v - 4)*(4*v + 1)/3
Let y(b) be the first derivative of -2*b**3/3 - 606*b**2 - 183618*b - 155. Suppose y(h) = 0. What is h?
-303
Let n(i) be the first derivative of -3*i**4/4 + 26*i**3/3 + 6*i**2 + 97*i - 124. Let p(f) be the first derivative of n(f). Determine b, given that p(b) = 0.
-2/9, 6
Let j = 1378077/4 + -344519. Determine p so that 7/2*p + j*p**3 + 15/4*p**2 + 0 = 0.
-14, -1, 0
Factor 881*v + 887*v - 2723*v + 858*v - 9*v**2 + 22.
-(v + 11)*(9*v - 2)
Let t(f) be the first derivative of 2 - 1/210*f**5 + 1/28*f**4 + 5/2*f**2 - 2/21*f**3 + 0*f. Let d(q) be the second derivative of t(q). Factor d(c).
-2*(c - 2)*(c - 1)/7
Let g(o) be the first derivative of -o**3/15 + 3*o**2/5 + 91*o/5 - 6127. Factor g(d).
-(d - 13)*(d + 7)/5
Suppose b + c = -632, 2*b + 5*c + 1270 = -0*c. Let t be 256/14 + 0 + 180/b. Find w such that 6*w**2 + t*w + 2/3*w**3 + 18 = 0.
-3
Let k(a) be the second derivative of 3*a**5/140 - 31*a**4/14 + 64*a**3 + 3072*a**2/7 + 2*a - 356. Suppose k(v) = 0. What is v?
-2, 32
Factor 169701 - 50350*g**2 - 420*g**4 - 2*g**5 + 94380*g + 7*g**5 + 10005*g**3 - 230541.
5*(g - 39)**2*(g - 2)**3
Let k(x) = -5*x - 20. Let u be k(-5). Suppose 0*w = -w + 4. Factor -5*m**5 + 96*m**3 - 36*m**2 - 30*m**w - 15*m**4 - 22*m**u.
-3*m**2*(m + 3)*(3*m - 2)**2
Let c(y) = 13*y**3 - 69*y**2 + 50*y + 97. Let h(k) = -20*k**3 + 104*k**2 - 76*k - 144. Let z(i) = 8*c(i) + 5*h(i). Suppose z(s) = 0. Calculate s.
-1, 2, 7
Let q(i) be the first derivative of i**7/105 - 23*i**6/60 + 257*i**2/2 - 192. Let j(c) be the second derivative of q(c). Suppose j(b) = 0. What is b?
0, 23
Let q be ((12/(-9))/2)/(6/(-72)). Determine x, given that 24*x**2 + 16 + 73*x**5 + 89*x + 517*x**3 - 197*x + 98*x**4 + 352*x**4 + q*x**5 = 0.
-4, -1, 2/9
Let b(l) be the first derivative of l**6/900 + 19*l**5/50 + 1083*l**4/20 + 38*l**3 + 32. Let a(s) be the third derivative of b(s). Find u such that a(u) = 0.
-57
Suppose 84 = 2*q - 440*i + 438*i, -2*i + 168 = 5*q. Solve 267/5*n**2 + 28/5 + q*n - 4*n**3 = 0.
-2/5, -1/4, 14
Suppose 4*b - 10*b = 15*b - 4*b. Let z(s) be the first derivative of 3/2*s**3 + 0*s + b*s**2 + 1/10*s**5 + 9 + 3/4*s**4. Factor z(a).
a**2*(a + 3)**2/2
Let v(c) be the second derivative of -13*c**5/180 - 5*c**4/24 - c**3/9 - 135*c**2/2 - 2*c - 32. Let m(x) be the first derivative of v(x). Factor m(p).
-(p + 1)*(13*p + 2)/3
Let w = -60190 + 60190. Factor 2/9*p**3 + 0*p**4 + 0*p**2 + 0*p - 2/9*p**5 + w.
-2*p**3*(p - 1)*(p + 1)/9
Let u(x) be the first derivative of x**6/240 - 11*x**5/120 + 57*x**2/2 - 36. Let a(s) be the second derivative of u(s). Factor a(o).
o**2*(o - 11)/2
Solve 40898/17 + 574/17*l**2 + 41470/17*l + 2/17*l**3 = 0.
-143, -1
Let c = 896/1317 - 6/439. Let y(k) be the third derivative of -c*k**3 + 1/6*k**4 + 0*k - 1/60*k**5 + 0 + k**2. Factor y(z).
-(z - 2)**2
Let d be 4 - (-25)/(75/(-216)). Let c = d + 68. Factor 2/11*s**3 + 6/11*s + 8/11*s**2 + c.
2*s*(s + 1)*(s + 3)/11
Let k(x) be the second derivative of -1/6*x**4 + 2*x**3 + 0 - 1/5*x**5 - 39*x + 9/2*x**2 + 1/30*x**6. Factor k(n).
(n - 3)**2*(n + 1)**2
Factor -732096/7*d - 726192/7 - 3/7*d**4 - 1488/7*d**3 - 187464/7*d**2.
-3*(d + 2)**2*(d + 246)**2/7
Let i = -35989/86 + -216/43. Let v = 428 + i. Find k, given that -9/2*k**2 + v*k**3 + 3/2*k - 3/2*k**4 + 0 = 0.
0, 1
Let h(n) be the third derivative of n**7/105 + 107*n**6/180 + 517*n**5/270 + 239*n**4/108 + 34*n**3/27 - 1115*n**2. Let h(o) = 0. What is o?
-34, -1, -1/3
Suppose -9 = 31*