- 8*w**3/3 - 5*w**2/2 - w + 19. Let l(h) be the second derivative of j(h). Solve l(y) = 0 for y.
-2, 2
Let g(w) = -12*w**3 + 80*w**2 - 6*w - 98. Let t(f) = f**5 - 4*f**4 + 57*f**3 - 400*f**2 + 29*f + 491. Let z(p) = -11*g(p) - 2*t(p). Solve z(x) = 0 for x.
-3, -1, 2, 4
Let n(x) be the second derivative of -5*x**4/4 - 110*x**3/3 + 160*x**2 + 3920*x. Factor n(v).
-5*(v + 16)*(3*v - 4)
Suppose -8 = -0*k - 2*k - 2*l, 4*l = 5*k - 11. Factor 16*a**3 + 3 - 14*a**3 + 3 - 7*a**k - 7*a - 18*a**2.
-(a + 1)*(a + 3)*(5*a - 2)
Let w be -23 + 17 - (19 - 29). Find r such that 0*r**w + 22/7*r**3 + 0 - 8/7*r**5 - 18/7*r**2 + 4/7*r = 0.
-2, 0, 1/2, 1
Let m be (2232/248)/((-9)/(-2)). Let o(q) be the first derivative of -7 + 0*q**m - 1/4*q**4 - 1/5*q**5 + 0*q + 2/3*q**3. Factor o(l).
-l**2*(l - 1)*(l + 2)
Let m(i) be the second derivative of 2*i**7/21 - 2*i**6/5 - 13*i**5/5 + 7*i**4/3 + 24*i**3 + 40*i**2 - 872*i. Find x such that m(x) = 0.
-2, -1, 2, 5
Let y = -1387278 + 4165678/3. Determine s, given that 2*s**3 + 368/3*s**2 + 5518/3*s - y = 0.
-31, 2/3
Factor -480/13 - 2/13*r**3 - 352/13*r + 126/13*r**2.
-2*(r - 60)*(r - 4)*(r + 1)/13
Let t be (-4888)/(-141) + 3/(63/(-14)). Find r such that 20 + t*r + 11/2*r**3 + 21*r**2 + 1/2*r**4 = 0.
-5, -2
Suppose o = -2*o + 6. Factor -105*r - 3*r**3 - 33*r**o + 14 - 45 - 14 - 30.
-3*(r + 1)*(r + 5)**2
Suppose -129*p**3 + 325 - 448*p - 15*p**5 + 212 + 575*p**3 - 334*p**2 - 145 + 17*p**5 - 58*p**4 = 0. Calculate p.
-1, 1, 14
Let o be (-3)/9*9 - 432/(-120). Let -243/5 + 54/5*t - o*t**2 = 0. What is t?
9
Factor 3*s**2 - 67*s - 2*s**2 - 6*s**2 + 10*s**2 - 1283*s.
5*s*(s - 270)
Let n(z) be the second derivative of 8*z**7/315 + z**6/12 + z**5/15 - z**4/36 - 57*z**2/2 + 15*z + 5. Let s(u) be the first derivative of n(u). Factor s(w).
2*w*(w + 1)**2*(8*w - 1)/3
Let s = -8/69 + 1943/16560. Let a(m) be the third derivative of -1/1260*m**7 + 1/144*m**4 + 0*m + 0*m**3 + 1/360*m**5 - s*m**6 + 0 - 17*m**2. Factor a(o).
-o*(o - 1)*(o + 1)**2/6
Let g(b) be the second derivative of b**5/5 - 203*b**4 + 82418*b**3 - 16730854*b**2 - 306*b - 3. Solve g(a) = 0.
203
Let -2/5*b**4 + 112/5*b**3 - 1868/5*b**2 - 2250 + 1680*b = 0. What is b?
3, 25
Suppose 52 - 1/3*k**4 - 155/3*k**2 + 80/3*k**3 - 80/3*k = 0. What is k?
-1, 1, 2, 78
Let j(y) be the first derivative of -2/5*y**5 + 40/11*y - 7/22*y**4 - 198 + 52/11*y**2 - 1/33*y**6 + 70/33*y**3. Find q, given that j(q) = 0.
-10, -1, 2
Solve 2*j**3 - 1974/5*j**2 - 784/5 + 2748/5*j = 0 for j.
2/5, 1, 196
Solve 39 + 233/2*h + 75/2*h**3 - 1/2*h**4 + 231/2*h**2 = 0.
-1, 78
Let -9/5*h**4 + 84/5*h**3 - 183/5*h**2 + 108/5 + 0*h = 0. What is h?
-2/3, 1, 3, 6
Determine a so that -3/2*a**3 + 0*a + 0 + 1/2*a**4 + a**2 = 0.
0, 1, 2
Let i(b) = 134*b**3 - 208*b**2 - 166*b + 22. Let x(y) = 6*y**3 + y**2 + 3*y + 1. Let t(o) = -2*i(o) + 44*x(o). Suppose t(d) = 0. What is d?
-1, 0, 116
Factor -4/7*c**2 + 600/7 + 76/7*c.
-4*(c - 25)*(c + 6)/7
Let z(g) be the second derivative of -g**6/30 - g**5/4 + g**4/4 + 17*g**3/6 + 5*g**2 - 20*g - 1. Suppose z(j) = 0. Calculate j.
-5, -1, 2
Let h be (-198)/(-24)*48/(-18). Let c be (h/33)/((-22)/99). Solve 0 - m**2 - 5/2*m**c + 0*m - 9/2*m**5 + 8*m**4 = 0 for m.
-2/9, 0, 1
Let i(d) be the second derivative of 1/70*d**6 + 69/14*d**2 - 5*d**3 - 39/70*d**5 + 2 + 18/7*d**4 - 106*d. Factor i(o).
3*(o - 23)*(o - 1)**3/7
Let o(x) be the first derivative of x**6/6 - 4*x**5 - x**4/2 + 40*x**3/3 + x**2/2 - 20*x + 1703. Factor o(w).
(w - 20)*(w - 1)**2*(w + 1)**2
Let n = -7819/6 - -19558/15. Factor -3/2*d - 1/10*d**3 + n + 9/10*d**2.
-(d - 7)*(d - 1)**2/10
Let d(u) be the third derivative of u**5/15 + 44*u**4/3 - 182*u**3 + 2*u**2 + 753*u. Solve d(z) = 0 for z.
-91, 3
Let p(s) be the second derivative of s**7/315 - 7*s**6/75 + 57*s**5/50 - 679*s**4/90 + 88*s**3/3 - 336*s**2/5 - 23*s + 1. Determine o so that p(o) = 0.
3, 4, 7
Let l(w) = -188*w**3 - 1172*w**2 + 4796*w + 1716. Let z(m) = -29*m**3 - 180*m**2 + 738*m + 264. Let t(o) = 5*l(o) - 32*z(o). Factor t(y).
-4*(y - 3)*(y + 11)*(3*y + 1)
Let t(c) be the first derivative of c**5/5 + 5*c**4/2 + 20*c**3/3 - 5*c**2 - 21*c - 2501. What is z in t(z) = 0?
-7, -3, -1, 1
Let f be (-34)/(-12) - 150/180. Let 4259 + j**2 - 127 - 306*j + 2*j**f + 4767 - 1096 = 0. Calculate j.
51
Let -2*c**3 - 1747*c - 1908*c + 1065*c + 6350 + 274*c**2 = 0. What is c?
5, 127
Let o = 1047508/5 + -209501. Find y such that -63/5*y**2 + 69/5*y**3 - 69/5*y + 66/5 - o*y**4 = 0.
-1, 1, 22
Let a = -147696 - -147698. Factor 11/5*o - 2 - 1/5*o**a.
-(o - 10)*(o - 1)/5
Let p(v) be the third derivative of -v**5/120 - 65*v**4/48 + 175*v**3/6 + 2*v**2 + 2785. What is q in p(q) = 0?
-70, 5
Let q(n) = -n**2 + 3*n + 686. Let z be q(0). Suppose 0 = 5*b - z - 144. Find l, given that -9*l**2 + 10 + 171*l - l**2 - 5*l**3 - b*l = 0.
-2, -1, 1
Let c be -708 - -704 - 4*44/(-24). Factor -4/5 - c*f - 22/15*f**2.
-2*(f + 2)*(11*f + 3)/15
Let q(v) be the second derivative of -1/20*v**5 + 8*v - 4*v**2 + 0 - 1/12*v**4 + 5/3*v**3. Factor q(t).
-(t - 2)*(t - 1)*(t + 4)
Let l(z) be the first derivative of 96*z - 21*z**5 + 849/4*z**4 - 63 - 582*z**3 + 48*z**2. Determine f so that l(f) = 0.
-1/5, 2/7, 4
Let t = 3002/27 + -23/27. Let u = -110 + t. Solve 0*c - u*c**3 + 1/2*c**2 - 1/6 = 0.
-1/2, 1
Let q = 402137/3 - 132402. Let w = -1643 + q. Find d, given that -w*d**5 - 8/3*d - 10/3*d**2 + 2/3*d**4 + 8/3 + 10/3*d**3 = 0.
-2, -1, 1, 2
Let i(v) be the first derivative of 2/27*v**3 + 26 + 13/9*v**2 + 8/3*v. Factor i(d).
2*(d + 1)*(d + 12)/9
Suppose -j = w + 16, -4410*j - w - 34 = -4415*j. Factor 0 + 10*a**j + 34/3*a**2 + 2*a**4 + 4*a - 2/3*a**5.
-2*a*(a - 6)*(a + 1)**3/3
Let j(q) be the first derivative of q**6/3600 + 13*q**5/1200 + q**4/8 + 29*q**3 + 141. Let v(o) be the third derivative of j(o). Factor v(h).
(h + 3)*(h + 10)/10
Let f be 30165/(25/5) - (1 + 1). Let x = -492 + f. What is i in -1571*i**4 - 8*i**2 + 3375*i**5 + 221*i**4 - x*i**3 + 5719*i**3 = 0?
0, 2/15
Let l(v) be the first derivative of 2*v**5/55 + v**4/22 - 6*v**3/11 - 9*v**2/11 - 622. Determine z so that l(z) = 0.
-3, -1, 0, 3
Let s(w) be the third derivative of w**8/1008 + w**7/315 - w**6/360 - w**5/90 + 3*w**2 - 67. Find c such that s(c) = 0.
-2, -1, 0, 1
Let q = -14775/2 + 7390. Let s(d) be the first derivative of 23 - q*d**4 + 0*d + 2*d**2 + 6*d**3. Solve s(n) = 0.
-1/5, 0, 2
Find f, given that -322*f**3 + 9144*f**2 - 13976*f - 21632 - 12232*f + f**4 + 3*f**4 - f**4 = 0.
-2/3, 4, 52
Let l(d) be the second derivative of -17/9*d**4 - 1/5*d**5 - 8*d**2 + 0 - 56/9*d**3 - 91*d. Factor l(y).
-4*(y + 2)*(y + 3)*(3*y + 2)/3
Let m = 147 + -145. Let -37*s**m - 27*s**2 + 4*s**4 + 60*s**2 = 0. What is s?
-1, 0, 1
Let p be 47 - 45/(-60)*-61. Factor 105/2*c**2 - 2205/4*c + 0 - p*c**3.
-5*c*(c - 21)**2/4
Let j be -22 + -18 + 65 + -22. Let d(b) be the second derivative of b**j + 0 - 3/2*b**2 + 23*b - 1/4*b**4. Factor d(s).
-3*(s - 1)**2
What is t in 4608/7 - 88/7*t**2 + 768/7*t + 2/7*t**3 = 0?
-4, 24
Let 1350*p**2 + 41*p**4 - 84*p**4 + 106*p**3 + 45*p**4 - 1828*p + 370*p = 0. Calculate p.
-27, 0, 1
Let a be 70/(-126) - 3*5/(-15). Suppose -4*k = -3*c - 15, -2*k - 5*c - 25 = 3*k. What is b in -2/9*b**3 + a + k*b**2 + 2/3*b = 0?
-1, 2
Let h(l) = l**2 + 95*l + 50. Let i be h(51). Determine z, given that -9*z + 8*z - i - 107*z - z**2 - 56*z + 772 = 0.
-82
Let w(h) be the third derivative of h**6/360 - h**5/90 - 31*h**4/72 - 14*h**3/9 + 549*h**2 - 1. Determine m so that w(m) = 0.
-4, -1, 7
Let g(u) = -u**3 + 19*u**2 - 20*u + 39. Let d be g(18). Let 69*t**d - 33*t**4 - 3*t**5 - 180*t**2 + 98*t**3 + t**3 - 131*t + 131*t = 0. What is t?
-15, 0, 2
Let b be (-202)/(-4 - 18/(-3)). Let g = b + 119. Factor 3676*z**4 - 152*z**3 + 29*z**2 + 19*z**2 - 3544*z**4 - g*z**5.
-2*z**2*(z - 6)*(3*z - 2)**2
Let t = -23324 + 69976/3. Factor 28/3*r + t + 35/3*r**2 + 11/3*r**3.
(r + 1)*(r + 2)*(11*r + 2)/3
Let a be ((-431)/87 + 5)*(-423)/(-14). Let o = a - 32/29. Find f such that o*f + 0 + 1/7*f**3 + f**2 - f**4 - 3/7*f**5 = 0.
-2, -1, -1/3, 0, 1
Let m(s) be the second derivative of s**4/12 - 793*s**3/3 + 628849*s**2/2 + 14*s - 14. Factor m(c).
(c - 793)**2
Let b be 0 + ((-1274)/(-21))/(-13). Let z = b - -88/15. Factor 3/5*i**2 + z*i + 0.
3*i*(i + 2)/5
Suppose 3 = 3*n + t - 57, 2*n - 