
-4*(o - 3)*(o + 2)/3
Let w(g) be the third derivative of g**7/1155 - 3*g**6/110 - 9*g**5/22 - 18*g**4/11 + 1067*g**2. Factor w(y).
2*y*(y - 24)*(y + 3)**2/11
Let k = 115533 - 1732993/15. Factor -128/15 - k*u**2 + 32/15*u.
-2*(u - 8)**2/15
Let c be (21 + 5980/(-300))*(130/24)/13. Suppose c + 8/9*f - 1/9*f**5 + 1/9*f**2 - 5/9*f**4 - 7/9*f**3 = 0. What is f?
-2, -1, 1
Let v(h) be the second derivative of 80/3*h**3 - 5/42*h**7 + 1 - h**5 + 57*h + 5/6*h**6 - 20/3*h**4 - 40*h**2. Factor v(l).
-5*(l - 2)**3*(l - 1)*(l + 2)
Let i(a) be the second derivative of a**6/120 - 9*a**4/16 - 9*a**3/4 - 289*a + 3. Determine c, given that i(c) = 0.
-3, 0, 6
Let p(w) be the second derivative of -w**5/120 - w**4/16 - 82*w**2 + 7*w + 7. Let f(l) be the first derivative of p(l). Find k such that f(k) = 0.
-3, 0
Let j(m) be the first derivative of -10*m**3/3 + 1357*m**2 - 1084*m + 2543. Factor j(v).
-2*(v - 271)*(5*v - 2)
Suppose -15 + 45 = 10*p. Factor 63*l**3 + p*l**5 - 126*l**3 + 57*l**3 + 3*l.
3*l*(l - 1)**2*(l + 1)**2
Let q = -1588354/3921639 - 2/49641. Let h = q - -446/711. Factor h*o**2 + 0 - 2/9*o.
2*o*(o - 1)/9
Factor -12937*y**2 - 214*y**4 - 563*y**2 - 3*y**5 - 365*y**3 + 1520*y**3 + 1245*y**3 + 139*y**4.
-3*y**2*(y - 10)**2*(y + 45)
Suppose 11*w - 17*w + 54 = 0. Suppose 0 = j - 11 + w. Let -268 + 480*y + 92*y**j + 19*y**3 - 15*y**3 - 308 = 0. Calculate y.
-12, 1
Let l(n) be the first derivative of 13 + 0*n**2 + 0*n - 2/57*n**3. Factor l(y).
-2*y**2/19
Let l = -24322 - -24325. Let k(b) be the second derivative of -2/3*b**2 + 0 + 31*b + 1/60*b**5 - 2/9*b**l + 1/36*b**4. Find v such that k(v) = 0.
-2, -1, 2
Let j be 0 + (-578)/(-9) - 182/819. Find v such that 5*v**2 + 259*v**3 + 23*v**2 + 13*v + 19*v - 255*v**3 - j = 0.
-4, 1
Let c(z) be the second derivative of 0 + 147*z**4 + 170*z + 343/50*z**5 + 5400*z**2 + 1260*z**3. Factor c(m).
2*(7*m + 30)**3/5
Let x(t) be the second derivative of -17/2*t**2 + 5/3*t**3 - 5/8*t**4 + 1/24*t**6 + 25*t + 0*t**5 + 0. Let b(h) be the first derivative of x(h). Factor b(p).
5*(p - 1)**2*(p + 2)
Let k = 5962 + -5962. Let a(x) be the second derivative of k*x**2 - 5/3*x**3 + 0 + 1/4*x**5 - 12*x - 5/12*x**4. Solve a(h) = 0.
-1, 0, 2
Factor -2*t**4 - 20*t**3 - 53 - 42*t**2 + 8*t + 11 + 98.
-2*(t - 1)*(t + 2)**2*(t + 7)
Suppose 0 = -2*w - 5*k + 135, -w - 3*k + 80 = 2*k. Let h be (-10)/w - 24/(-11). Factor -3*n**h + 8*n**2 + 64 - 15*n - 54.
5*(n - 2)*(n - 1)
Let o(q) be the third derivative of 0 - 2/3*q**4 + 1/42*q**8 + 1/15*q**6 + 0*q + 105*q**2 - 3/5*q**5 + 6/35*q**7 + 0*q**3. Determine r so that o(r) = 0.
-4, -1, -1/2, 0, 1
Let w(j) be the first derivative of j**4/6 - 44*j**3/3 - 200*j - 55. Let b(y) be the first derivative of w(y). Factor b(z).
2*z*(z - 44)
Suppose -15798 = -46*z + 11250. Let o be 26/28 - 252/z. Factor -1/2*l + 3/2*l**2 + o*l**3 - 3/2.
(l - 1)*(l + 1)*(l + 3)/2
Let p be (-49)/7*12/14. Let f(v) = v**2 + 7*v + 8. Let z be f(p). Factor 20 - 6*b**2 - 27*b**2 + 18*b**z + 5*b**3.
5*(b - 2)**2*(b + 1)
Factor 9*q + 6*q**2 - 29*q - 17*q - 10*q**2 + 480 - 19*q.
-4*(q - 6)*(q + 20)
Let i = 9 + 7. Let d be (-31000)/(-175) + i/(-2). Solve 64/7 + 352*a**3 + d*a**2 - 1452/7*a**4 - 640/7*a = 0 for a.
-2/3, 2/11, 2
Suppose -41814*k**2 + 2400606 + 41819*k**2 + 379*k + 1550999 - 9269*k = 0. Calculate k.
889
Let g = -48 - -80. Solve g*q + q**3 - 19*q**2 + 3*q**3 + 16 + 23*q**2 + 16*q**2 = 0 for q.
-2, -1
Let k(j) = 3*j**3 + 558*j**2 + 25926*j - 54150. Let u(f) = 3*f**3 + 560*f**2 + 25929*f - 54150. Let h(t) = -2*k(t) + 3*u(t). Find o, given that h(o) = 0.
-95, 2
Suppose 0*l - 50/13*l**2 - 2/13*l**5 + 2/13*l**3 + 0 + 50/13*l**4 = 0. Calculate l.
-1, 0, 1, 25
Suppose -2*q + 4*t - 10 = 0, -4*q - 2*t = -5*t. Suppose 0 = -m - 2, -q*l + 5*m + 23 - 7 = 0. Factor -2*o + 1/2*o**3 - 1/2*o**l + 2.
(o - 2)*(o - 1)*(o + 2)/2
Let f(x) be the second derivative of -x**6/840 + x**5/60 + x**4/21 - 57*x**2/2 + 8*x + 4. Let o(n) be the first derivative of f(n). What is s in o(s) = 0?
-1, 0, 8
Let u = 192 - 190. Let p(t) = -t**2 + 3*t - 20. Let q(i) = -3*i**2 + 9*i - 41. Let y(s) = u*q(s) - 5*p(s). Determine b so that y(b) = 0.
-3, 6
Let y(t) = 35*t**2 - 106*t + 8. Let z(b) = -b - 36*b**2 - 2 + 36*b + 63*b**2 - 39*b**2. Let w(g) = 3*y(g) + 8*z(g). Factor w(j).
(j - 4)*(9*j - 2)
Suppose 0 = -5*w - 2*a + 5*a + 165, 3*a + 21 = w. Suppose -k - w = -10*k. Factor 0*d**5 - d**k + 7*d**5 - 4*d**4 - 2*d**5.
5*d**4*(d - 1)
Let i(c) be the first derivative of -c**6/630 - c**5/105 + 7*c**3 - 2*c + 41. Let w(r) be the third derivative of i(r). Factor w(k).
-4*k*(k + 2)/7
Let x(w) be the second derivative of -w**7/84 - w**6/60 + 9*w**5/20 + 3*w**4/4 - 27*w**3/4 - 81*w**2/4 - 204*w. Solve x(q) = 0.
-3, -1, 3
Let a(v) = 460*v**4 + 645*v**3 - 1580*v**2 + 230*v. Let q(t) = -27*t**4 - 38*t**3 + 93*t**2 - 14*t. Let z(p) = 2*a(p) + 35*q(p). Factor z(n).
-5*n*(n - 1)*(n + 3)*(5*n - 2)
Let l = 343 - 340. What is y in 2*y**4 + y**5 + 6*y**3 - 12*y**2 - y**3 - 10*y**3 - 3*y**l - y**4 = 0?
-2, 0, 3
Solve 118/5*n + 24/5*n**2 - 2 = 0.
-5, 1/12
Let f(n) be the second derivative of 2*n**5/65 - 61*n**4/78 + 230*n**3/39 - 200*n**2/13 - 2*n + 4208. What is u in f(u) = 0?
5/4, 4, 10
Let g(p) be the first derivative of -p**6/6 + 4*p**5/5 + 3*p**4 + 2*p**3/3 - 11*p**2/2 - 6*p + 423. Factor g(u).
-(u - 6)*(u - 1)*(u + 1)**3
Let w = 77446/95 - 15398/19. Factor 0 - 2*q + w*q**2.
2*q*(12*q - 5)/5
Let c = -7297/165 + 1466/33. Solve 1/5*f + 12/5 - c*f**2 = 0 for f.
-3, 4
Solve -38397*m**5 + 12192*m**3 - 1677*m**4 - 26176*m**2 + 18624*m + 36*m**4 + 38537*m**5 + 1152 - 591*m**4 = 0 for m.
-2/35, 2, 6
Let x(b) be the first derivative of b**5/5 - 12*b**4 + 526*b**3/3 + 600*b**2 + 625*b + 646. Suppose x(o) = 0. Calculate o.
-1, 25
Let z(c) be the second derivative of -c**7/21 - c**6 - 39*c**5/10 - 37*c**4/6 - 4*c**3 + 1014*c. Solve z(u) = 0.
-12, -1, 0
Determine a, given that 463/4*a**3 - 76*a**2 + 0 - 155/4*a**4 - a = 0.
-2/155, 0, 1, 2
Solve 67*x + 48*x**3 + 8 + 29*x + 2*x**4 - 6*x**3 - 140*x**2 - 8 = 0.
-24, 0, 1, 2
Let p(u) be the first derivative of -2/33*u**3 + 26/11*u + 12/11*u**2 + 40. Factor p(h).
-2*(h - 13)*(h + 1)/11
Let b(g) be the third derivative of -g**7/1260 + 17*g**6/2880 - 3*g**5/160 + 37*g**4/24 - 32*g**2 + 3. Let c(y) be the second derivative of b(y). Factor c(o).
-(o - 1)*(8*o - 9)/4
Let n be 6678/3710 + -4*5/(-100). Factor 0 - 50/7*s**4 + 312/7*s**n + 64/7*s + 360/7*s**3.
-2*s*(s - 8)*(5*s + 2)**2/7
Determine j so that -36/7*j**2 + 78/7*j - 2/7*j**3 - 40/7 = 0.
-20, 1
Let s be -2*2/50*14/(-742). Let t = s + 1321/2650. Determine w, given that t*w**2 + 5*w + 25/2 = 0.
-5
Let c(f) be the third derivative of f**8/546 + 29*f**7/1365 - 37*f**6/780 - 359*f**5/390 + 7*f**4/4 + 30*f**3/13 + 2203*f**2. Find w, given that c(w) = 0.
-6, -5, -1/4, 1, 3
Let n be ((-17094)/(-9) - -4)/264 - 5. Let h = n - -4/99. Solve 3/4*o**5 + h*o**4 - 3/2*o + 3/4*o**3 - 9/4*o**2 + 0 = 0 for o.
-2, -1, 0, 1
Let h(v) be the third derivative of v**5/240 - 31*v**4/32 - 218*v**3/3 - 3*v**2 + 22*v - 3. Factor h(n).
(n - 109)*(n + 16)/4
Let v(f) be the third derivative of 9*f + 0*f**6 + 0*f**3 + 1/30*f**5 + 1/336*f**8 - 4*f**2 - 1/105*f**7 - 1/24*f**4 + 0. Suppose v(r) = 0. What is r?
-1, 0, 1
Find l, given that 50/3*l + 0 + 1/3*l**2 = 0.
-50, 0
Let s(p) be the third derivative of -1/2*p**4 + 1/3*p**5 + 53*p**2 - 2/105*p**7 + 0 + 0*p - 1/30*p**6 + 0*p**3. Factor s(d).
-4*d*(d - 1)**2*(d + 3)
Let y = -506343 + 1012705/2. Suppose -w + 0 - 17/2*w**3 - y*w**2 = 0. What is w?
-1, -2/17, 0
What is f in 172/3*f + 176/3 - 1/3*f**3 + 40/3*f**2 = 0?
-2, 44
Let s(j) be the first derivative of -5*j**6/6 - 26*j**5 - 210*j**4 + 130*j**3/3 + 845*j**2/2 + 3009. Find b, given that s(b) = 0.
-13, -1, 0, 1
Let x be 54/(-12)*(-22)/33. Factor -30*d**3 - 39*d**3 - 33*d**3 + 344*d + 94*d**x + 180 + 24*d**2 - 60*d**2.
-4*(d - 5)*(d + 9)*(2*d + 1)
Let g(d) be the second derivative of -d**6/15 - 9*d**5/10 - 2*d**4 + 80*d**3/3 + 192*d**2 - 662*d. Solve g(c) = 0.
-4, 3
Let s = 5/126431 + 1713139995/1390741. Let x = 1232 - s. Solve -4/11*r**4 + 0*r + 4/11*r**2 - x*r**3 + 0 + 2/11*r**5 = 0 for r.
-1, 0, 1, 2
Find g, given that -87*g**2 + 303*g + 167*g - 660 - 299*g + 108*g**2 = 0.
-11, 20/7
Suppose 20 = l - b, 3*l - 6*b + 11*b - 28 = 0.