d) + x(d). Factor t(l).
3*(l - 2)*(l + 1)*(l + 21)
Let j(n) be the first derivative of -n**3/18 + 53*n**2 - 16854*n + 1551. Find k such that j(k) = 0.
318
Suppose 3*f + 27 = 42*h - 41*h, -f = -3*h + 65. Let t be 0 + ((-39)/(-91) - 6/h). Solve -2*r**2 - t*r**4 - r**3 + 0 - 8/7*r = 0 for r.
-4, -2, -1, 0
Let k(q) = -28*q + 108 + 73 - 241 + 86 + 2*q**2. Let b(h) = -2. Let l(u) = -22*b(u) + 2*k(u). Determine o, given that l(o) = 0.
2, 12
Let c be (-12)/(-2)*(-160)/(-320). Factor 0 + 9/5*g**c + 0*g + 3/5*g**4 - 1/5*g**5 + g**2.
-g**2*(g - 5)*(g + 1)**2/5
Let n = 313 + -229. Let v be (-490)/(-21)*8/n. Solve v*j + 4/9*j**2 + 8/3 = 0.
-3, -2
Let y(l) be the first derivative of -145/9*l**3 - l**5 + 1/18*l**6 + 20*l**2 - 12*l + 25/4*l**4 - 4. Factor y(g).
(g - 6)**2*(g - 1)**3/3
Let z(k) be the second derivative of -k**5/4 - 55*k**4/4 - 135*k**3 + 1433*k - 2. Determine h, given that z(h) = 0.
-27, -6, 0
Let o(y) be the second derivative of y**4/3 - 1312*y**3/3 + 215168*y**2 - 359*y. Factor o(d).
4*(d - 328)**2
Let i(z) be the third derivative of z**5/360 + 205*z**4/18 + 168100*z**3/9 - 184*z**2 - 34. Factor i(x).
(x + 820)**2/6
Let h be 2/5 - 2839/(-2210)*4. Factor -648/13 + h*u - 2/13*u**2.
-2*(u - 18)**2/13
Let u(i) be the third derivative of 17*i**5/24 + 32*i**4/9 + i**3/9 + 6365*i**2. Suppose u(a) = 0. What is a?
-2, -2/255
Let q(x) be the third derivative of x**7/1050 - 7*x**6/200 - 2*x**5/25 + 11*x**4/30 + 738*x**2. Factor q(v).
v*(v - 22)*(v - 1)*(v + 2)/5
Suppose 11*n = -3 + 36. Factor 20*q**2 - 234*q + 34*q - 10*q**4 - 3*q**4 + 17*q**4 + 32*q**n.
4*q*(q - 2)*(q + 5)**2
Let v(h) be the second derivative of h**5/20 - 17*h**4/12 + 29*h**3/3 + 14*h**2 + 3*h + 47. Let w be v(12). Factor 0*s**2 - 3/2*s**w - 6*s**3 + 0*s + 0.
-3*s**3*(s + 4)/2
Let d(z) be the first derivative of -z**6/450 - z**5/25 - 4*z**4/15 - 10*z**3/3 - 193. Let b(m) be the third derivative of d(m). Find j, given that b(j) = 0.
-4, -2
Let q(z) = -6*z**2 + 32 - 12 - 26*z + 8*z**3 + 16*z**2. Let r(t) = -7*t**3 - 10*t**2 + 26*t - 19. Let k(x) = -5*q(x) - 6*r(x). What is h in k(h) = 0?
-7, 1
Let j = -13105/2 + 6553. Let z(p) be the first derivative of -1/4*p**2 + 4 + j*p**3 - p. Factor z(d).
(d - 1)*(3*d + 2)/2
Let u(b) be the third derivative of b**6/720 + b**5/10 - 115*b**4/144 + 13*b**3/6 + 1889*b**2. Factor u(a).
(a - 2)*(a - 1)*(a + 39)/6
Let a(s) be the third derivative of 0*s**3 - 61/480*s**6 + 37 - 1/40*s**7 + 1/24*s**4 + 0*s - 3/20*s**5 - 2*s**2. Suppose a(z) = 0. Calculate z.
-2, -1, 0, 2/21
Let q(z) be the second derivative of -8/21*z**3 - 4*z + 0 + 0*z**4 + 3/2*z**2 + 1/105*z**5. Let a(f) be the first derivative of q(f). Factor a(p).
4*(p - 2)*(p + 2)/7
Suppose -45 = -f - 4*z, 5*f - 276 = -3*z - 17. Solve -34*u + f*u - 5*u**2 - 19*u + 5*u**3 = 0.
0, 1
Let k be (115/(-69))/((-10)/144). Let m be 26/k - (-47)/(-141). Let -7/4*q**2 + m*q + 5/4*q**3 + 0 - 1/4*q**4 = 0. Calculate q.
0, 1, 3
Let j(z) = 3*z + 72. Let v be j(-10). Factor 7 - v*i + 80*i**2 + 11 + 30*i**4 - 5*i**5 - 70*i**3 - 3*i - 8.
-5*(i - 2)*(i - 1)**4
Let u be 188/10 - 15 - 117/65. Factor 4/3*r**u + 1/3*r + 1/3*r**3 - 2.
(r - 1)*(r + 2)*(r + 3)/3
Let j(u) be the third derivative of 4*u**8/21 + 176*u**7/35 - 11*u**6/6 - 197*u**5 + 9*u**4 + 5184*u**3 - 5599*u**2. Determine l so that j(l) = 0.
-16, -3, -2, 9/4
Factor 168*v - 12*v**3 - 573*v**2 + 288 + 234*v**2 + 287*v**2.
-4*(v - 3)*(v + 6)*(3*v + 4)
Let z(k) be the second derivative of k**7/42 - k**6/15 - k**5/10 + k**4/3 + k**3/6 - k**2 - 1130*k. Factor z(r).
(r - 2)*(r - 1)**2*(r + 1)**2
Factor 2022*u**4 - 1317*u**4 - 4209*u**3 + 1627*u**4 + 1880*u**4 - 3*u**5.
-3*u**3*(u - 1403)*(u - 1)
Let z(t) be the first derivative of t**3/6 + 23*t**2 + 90*t + 1446. Factor z(u).
(u + 2)*(u + 90)/2
Suppose 4*s - 3*t + 48 = 0, 37*t - 32*t + 30 = 130. Factor -64/11 + 2/11*a**s - 32/11*a + 4/11*a**2.
2*(a - 4)*(a + 2)*(a + 4)/11
Let p be -19*1208/(-16)*134. Factor 192223 - z**2 + z**3 - p.
z**2*(z - 1)
Let r(l) be the second derivative of l**7/14 - 37*l**6/6 - 443*l**5/20 - 319*l**4/12 - 32*l**3/3 + 1494*l. Determine m, given that r(m) = 0.
-1, -1/3, 0, 64
What is h in 37219*h**2 - 74451*h**2 + 37230*h**2 + 464 - 228*h = 0?
-116, 2
Let s(d) be the second derivative of -20449*d**4/12 + 143*d**3/6 - d**2/8 + 79*d + 3. Find u such that s(u) = 0.
1/286
Let y(w) be the third derivative of -w + 19/2*w**4 + 4/105*w**7 + 17/30*w**6 - 70*w**2 + 0 + 10/3*w**5 + 12*w**3. Factor y(k).
4*(k + 2)*(k + 3)**2*(2*k + 1)
Let g = -405 + 1043. Let h = -638 + g. What is d in 17/5*d**4 + 3/5*d**5 + h + 34/5*d**3 + 8/5*d + 28/5*d**2 = 0?
-2, -1, -2/3, 0
Let i(z) be the second derivative of z**8/40320 - z**7/5040 + z**4/12 - 19*z**3/3 - 29*z + 2. Let u(a) be the third derivative of i(a). Solve u(p) = 0 for p.
0, 3
Suppose -82*m = 60*m - 383 - 43. Factor -768/5 + 3/5*a**m + 864/5*a - 99/5*a**2.
3*(a - 16)**2*(a - 1)/5
Let v = -134 + 135. Let s(o) = 58*o**2 - 7*o + 6. Let m be s(v). Factor 62*w**3 + 16*w - w + 20*w**2 - m*w**3.
5*w*(w + 1)*(w + 3)
Suppose k + b - 6*b - 27 = 0, 0 = -3*k + 5*b + 31. Suppose 3*m + 6*h + 11 = 2*h, -4*m - 3*h = 3. What is l in -k*l**m - l**3 + 2*l**3 + 3*l**3 = 0?
0
Let i(d) = -618*d - 593*d - 378 + 1192*d. Let o be i(-20). Factor -3/7*j**3 - 3/7*j - 6/7*j**o + 0.
-3*j*(j + 1)**2/7
Let d(h) be the third derivative of -3/280*h**8 + 19/100*h**5 + 13/200*h**6 + 10*h + 0 - 7/40*h**4 - 8*h**2 - 19/350*h**7 + 0*h**3. Solve d(g) = 0.
-7/2, -1, 0, 1/3, 1
Let l be (-1445)/(-525) - 22/8. Let w(q) be the third derivative of 0*q + l*q**6 + 7*q**2 + 0 + 1/70*q**5 + 0*q**3 - 1/21*q**4. Factor w(d).
2*d*(d - 1)*(d + 4)/7
Let p(s) be the second derivative of -13/30*s**3 + 1/30*s**4 + 0 - 70*s + 3/5*s**2. Find j such that p(j) = 0.
1/2, 6
Let v(d) be the first derivative of 36*d**2 + 1/3*d**6 + 77 + 4*d**5 + 40*d**3 + 0*d + 37/2*d**4. Determine r, given that v(r) = 0.
-3, -2, 0
Let t = 30656/29 + -1057. Let p = 37/203 + t. Find h such that p*h**2 + 0 + 4/7*h = 0.
-2, 0
Factor -156*j**3 + 54*j**2 + 309*j**3 - 151*j**3 - 230 + 174*j.
2*(j - 1)*(j + 5)*(j + 23)
Let 1728*a**2 + 0*a - 93/4*a**4 + 504*a**3 + 0 + 1/4*a**5 = 0. What is a?
-3, 0, 48
Let 494/5*l**3 + 0 - 18/5*l**5 + 80*l**2 + 172/5*l**4 + 96/5*l = 0. What is l?
-1, -4/9, 0, 12
Let i(b) be the first derivative of -5*b**3/3 + 325*b**2 + 2061. Solve i(x) = 0.
0, 130
Let a(x) be the first derivative of 0*x + 3/4*x**4 - 54 - 51/2*x**2 + 16*x**3. Determine i so that a(i) = 0.
-17, 0, 1
Suppose -48*a + 106*a = 0. Let g(u) be the second derivative of 0*u**2 - 1/3*u**3 - 1/18*u**4 - 3*u + a. Factor g(p).
-2*p*(p + 3)/3
Let z(p) = 8*p**3 - 285*p**2 - 845*p - 1656. Let n(k) = 38*k**3 - 1332*k**2 - 4226*k - 8280. Let a(r) = -3*n(r) + 14*z(r). Suppose a(w) = 0. What is w?
-18, -2, 23
Let a(l) = -l**3 - 2*l**2 + 16*l. Let n(w) = -w**3 - 3*w**2 + 18*w. Let f be (24/(-24))/(9/(-5) - -2). Let h(d) = f*a(d) + 4*n(d). Factor h(o).
o*(o - 4)*(o + 2)
Suppose -i + 15 = 5*l, -4*l + 13 = 8*i - 7*i. Let k = 1407 - 12661/9. Find f such that 7/9*f + k - f**l = 0.
-2/9, 1
Let a(g) = 8*g**2 - 5*g - 40*g - 103*g - 147. Let r(m) = 25*m**2 - 445*m - 440. Let u(d) = 10*a(d) - 3*r(d). Find i such that u(i) = 0.
-1, 30
Let o(v) = 2317*v + 852659. Let f be o(-368). Let 0 + 0*q + 3/4*q**f + 3/2*q**2 - 3/4*q**4 = 0. Calculate q.
-1, 0, 2
Let v(i) be the second derivative of i**4/84 + 5*i**3/42 - 25*i**2/7 + 1268*i. Let v(l) = 0. Calculate l.
-10, 5
Let p be 1*225/(-10)*(-8 - 0). Factor -p*v + 22353 + 4*v**2 + 523*v + 249*v - 449.
4*(v + 74)**2
Let k be (-9 - 27)/((-1)/12). Let p be (-4)/(-22) + k/44. Suppose 2*r**2 + p*r**3 - 11*r**3 - 6*r**2 + 3*r**2 = 0. Calculate r.
-1, 0
Let c(h) be the first derivative of -2*h**5/5 - 11*h**4/2 + 160*h**3/3 - 6075. Determine t, given that c(t) = 0.
-16, 0, 5
What is q in -3/7*q**3 + 153/7*q**2 + 540 + 2208/7*q = 0?
-10, -2, 63
Let z be (178/330 - (-1228)/(-4605))*(-22)/(-3). Let 475/2*b + 65/2*b**3 - 125 - 285/2*b**z - 5/2*b**4 = 0. Calculate b.
1, 2, 5
Let o = 558381 - 558378. Factor -2*x - 4/3 + 0*x**2 + 2/3*x**o.
2*(x - 2)*(x + 1)**2/3
Let z(p) = 15*p**3 + 1327*p**2 + 30280*p + 55470. Let h(a) = -10*a**3 - 885*a**2 - 20185*a - 36980. Let o(d) = 7*h(d) + 5*z(d). What is r in o(r) = 0?
-43, -2
Let u be ((-1)/(5 + -3))/(22 - 39).