- 6844*m**2 - 6962*m + 159. Solve j(a) = 0.
-1/2, 59
Suppose -49 = -5*u + 5*k - 9, 3*k = 5*u - 32. Factor -u*j + 2*j**2 + 2*j**4 - 2*j**2 - 11*j**2 + 5*j**2.
2*j*(j - 2)*(j + 1)**2
Suppose 2 + 6 = 4*x. Suppose 2*b + 2 = 0, -c - 2*b - 2 = -2*c. Let c*f**2 - 8*f**2 + 2*f + 6 - 2*f**3 + x*f**2 = 0. Calculate f.
-3, -1, 1
Let p(w) be the first derivative of -10 - 15*w - 5*w**2 + 5/3*w**3. What is j in p(j) = 0?
-1, 3
Let c = -752 + 302303/402. Let w = c + 539/1206. Find l, given that w*l + 2/9 + 2/9*l**2 = 0.
-1
Let d(g) = g**2 + 2*g**2 + 6669*g - 6669*g. Let b be d(-1). Factor 0 + 5/2*r**b + 0*r + 1/2*r**2 + 2*r**4.
r**2*(r + 1)*(4*r + 1)/2
Let p be -3 - (1 + -2)*(10 - 3). Let r(f) = f**2 + 7*f + 6. Let h(l) = l + 1. Let y = -4 + 3. Let d(n) = p*h(n) + y*r(n). Factor d(q).
-(q + 1)*(q + 2)
Suppose 106*v - 549 = -35*v - 42*v. Factor 2 + 2*d**v - 14/3*d**2 - 14/3*d.
2*(d - 3)*(d + 1)*(3*d - 1)/3
Let l(x) be the first derivative of 2*x**5/15 - 10*x**3/9 + 8*x/3 + 78. Solve l(m) = 0.
-2, -1, 1, 2
Let x(q) = 97*q - 580. Let b be x(6). Let f be (-3 - 0)/(3/(-2)). Factor -2/3*a**f - 4/3 + b*a.
-2*(a - 2)*(a - 1)/3
Let f(b) be the second derivative of b**2 - 1/12*b**4 + 2*b - 3/20*b**5 + 5 + 1/2*b**3 - 1/30*b**6. Find s such that f(s) = 0.
-2, -1, 1
Let g(c) be the second derivative of c**7/168 + c**6/72 + 7*c**3/2 + 2*c. Let a(r) be the second derivative of g(r). Factor a(d).
5*d**2*(d + 1)
Let x(m) = 13*m**2 + 14*m - 49. Let a(f) = -15*f**2 - 15*f + 48. Let c(o) = -5*a(o) - 6*x(o). Factor c(q).
-3*(q - 3)*(q + 6)
Let v(g) be the third derivative of 0*g**5 + 0*g**3 + 0 + 1/72*g**8 + 0*g**4 + 0*g + 4/189*g**7 + 1/135*g**6 + 9*g**2. Factor v(l).
2*l**3*(3*l + 2)*(7*l + 2)/9
Let a(w) be the second derivative of 0 + 35*w - 7/24*w**3 + 0*w**2 + 1/6*w**4 - 1/80*w**5. Let a(y) = 0. Calculate y.
0, 1, 7
Let o = -6047/5 + 1210. Let q(t) be the first derivative of -10 - t**3 + 0*t**4 + 0*t**2 + 0*t + o*t**5. Find b, given that q(b) = 0.
-1, 0, 1
Factor -10/11*g**3 - 2/11*g**2 + 2/11*g**5 - 8/11 + 2/11*g**4 + 16/11*g.
2*(g - 1)**3*(g + 2)**2/11
Factor -7/2*o + 1/2*o**2 + 3.
(o - 6)*(o - 1)/2
Let y(z) = -2*z + 2. Let b(a) = a**2 - 4*a + 3. Suppose -3*j + 6 + 12 = 0. Suppose v + j = -2*v. Let l(c) = v*b(c) + 5*y(c). Let l(f) = 0. What is f?
-2, 1
Let c = -356 + 21361/60. Let d(t) be the third derivative of -23/168*t**4 + t**2 + 0 + 0*t - 1/7*t**3 - c*t**5. Factor d(u).
-(u + 3)*(7*u + 2)/7
Let g be 11/(-66) - ((-163)/(-120))/1. Let d = -9/8 - g. Factor -1/5*n**2 + 3/5*n - d.
-(n - 2)*(n - 1)/5
Let b(j) be the third derivative of 73/12*j**5 + 0 - 10/3*j**3 - 6/7*j**7 + 37/24*j**6 - 5/6*j**4 + 20*j**2 + 0*j. Find x such that b(x) = 0.
-1, -2/9, 1/4, 2
Solve 122*r - 326*r - 200 - 22*r**2 + 9*r**2 + 9*r**2 = 0 for r.
-50, -1
Let v be 6/(-8)*2*5926/(-9). Let x = v + -976. Determine z, given that 5/3 - 25*z**4 - 15*z**5 + 70/3*z**2 + 10/3*z**3 + x*z = 0.
-1, -1/3, 1
Suppose 5*m - 3*m = 106. Let q = 134 - m. Determine d, given that -81 + q - d**4 + d**2 = 0.
-1, 0, 1
Suppose -20 = 10*x - 5*x, 0 = -5*r + 2*x + 13. Let d(h) be the first derivative of -3/2*h**2 + 0*h - h**3 + r. Solve d(m) = 0 for m.
-1, 0
Let z(n) be the first derivative of 2*n**2 - 7 + 1/3*n**3 - 7*n - 1/6*n**4. Let w(k) be the first derivative of z(k). Factor w(g).
-2*(g - 2)*(g + 1)
Let k(i) be the second derivative of i**7/14 + i**6/10 - 33*i**5/20 + 7*i**4/4 + 5*i**3 - 12*i**2 - 89*i. Solve k(s) = 0.
-4, -1, 1, 2
Let r(a) be the third derivative of a**5/20 + 57*a**4/4 + 3249*a**3/2 + 264*a**2. Solve r(m) = 0 for m.
-57
Let p = 17 - 25. Let t(w) = -w + 19. Let r be t(p). Suppose -57*b**2 - 14*b - r - 18*b**2 - 76*b = 0. What is b?
-3/5
Let y be (1 + 1)*(-3 + 4). Suppose 2*j - 8 = -r, -j - 1 = 5*r - 5. Factor -1/2*q**y - 8 - j*q.
-(q + 4)**2/2
Let k(c) = 3*c**2 - 3*c + 6. Suppose 0 = -3*q - 6*h + 5*h + 2, 3*q + 3*h = 12. Let z(x) = 4 - x - 3 - x**2 + 2*x**2. Let p(n) = q*k(n) + 4*z(n). Factor p(t).
(t - 2)*(t + 1)
Let l(b) be the first derivative of b**6/72 - b**5/12 + 5*b**4/24 + b**3 + 15. Let i(t) be the third derivative of l(t). Factor i(z).
5*(z - 1)**2
Suppose 252*h - 248*h - 8 = 0. Let r(a) be the first derivative of 4/3*a**3 - 3 - 6*a**h + 8*a. Suppose r(f) = 0. Calculate f.
1, 2
Let m(p) be the third derivative of -1/12*p**4 - 7/150*p**5 + 2/15*p**3 + 0 + 7*p**2 + 0*p. Factor m(x).
-2*(x + 1)*(7*x - 2)/5
Let t(x) = 1. Let q(f) = f - 3. Let y(s) = q(s) - 4*t(s). Let l be y(9). Let 6*w**2 - 7*w**2 + w + l*w**2 = 0. What is w?
-1, 0
Let w(y) be the second derivative of 1/2*y**3 - 25*y + 3/10*y**5 + 0 + 0*y**2 + 3/4*y**4. Factor w(f).
3*f*(f + 1)*(2*f + 1)
Suppose 2*t + 3*p = -9, -213*t + 212*t - 3*p = 12. Factor -36/7*k**2 + t*k**3 - 12/7*k + 0.
3*k*(k - 2)*(7*k + 2)/7
Let s(u) be the first derivative of -u**7/660 + 4*u**6/495 - u**5/60 + u**4/66 + 4*u**3/3 + 14. Let j(d) be the third derivative of s(d). Factor j(l).
-2*(l - 1)**2*(7*l - 2)/11
Let a = -247094/7 - -35303. Factor -a*d + 15/7*d**2 - 6/7.
3*(d - 2)*(5*d + 1)/7
Factor 1/4*g**3 + 33/4*g**2 + 1331/4 + 363/4*g.
(g + 11)**3/4
Let c(y) = -y**2 + 1. Let b(p) be the second derivative of 5*p**4/6 + 20*p**3/3 + 75*p**2/2 - 13*p. Let n(w) = -b(w) - 5*c(w). Factor n(u).
-5*(u + 4)**2
Suppose -k + 12 = d, 4*k - 34 = d - 3*d. Let y = d - 4. Let -9 - 3*v**2 - 16 - y*v + 25 = 0. Calculate v.
-1, 0
Let l(p) be the third derivative of -p**9/12096 + 5*p**8/4032 - p**7/126 + p**6/36 + p**5/5 + 15*p**2. Let q(c) be the third derivative of l(c). Solve q(u) = 0.
1, 2
Let s(y) be the second derivative of 0 + 0*y**2 + 27*y - 1/28*y**4 - 5/14*y**3. Factor s(r).
-3*r*(r + 5)/7
Factor 0*y**3 - 5*y**2 + 9*y + 3*y**3 + 17*y**2.
3*y*(y + 1)*(y + 3)
Let v(g) = -g**2 + 22*g + 49. Let b be v(18). Suppose 340 + 27*d + 17*d - 336 + b*d**2 = 0. What is d?
-2/11
Let g(x) be the third derivative of 0*x + 1/105*x**7 - 1/9*x**3 + 0 + 1/56*x**8 - 1/45*x**5 + 46*x**2 + 5/36*x**4 - 7/90*x**6. Let g(y) = 0. What is y?
-1, 1/3, 1
Let r be -6 + (-119)/(-21) + 1/3. Factor 0 - 1/3*l**4 + r*l**3 + 0*l + 1/3*l**2.
-l**2*(l - 1)*(l + 1)/3
Let u = -22750/3 + 7584. Solve -2/3*b + 1/6*b**2 + u = 0.
2
Suppose 4*s + r - 3 = 0, -3*s + r + 4 = -0. What is k in 5 + 2*k**2 - 26*k**2 + s - 212*k**3 + 227*k**3 + 3*k = 0?
-2/5, 1
Suppose -d + 5*o + 2 = -11, 5*d - 2*o - 88 = 0. Suppose 5*h - 3*g - d = 0, 1 = -5*g - 4. Factor -h*q**3 + 51*q + 6*q**4 - 30*q - 21*q - 3*q**5.
-3*q**3*(q - 1)**2
Let n(c) be the third derivative of -1/75*c**6 - 1/1680*c**8 + 0*c**3 + 0*c**4 - 1/75*c**5 + 0 - 13*c**2 - 1/210*c**7 + 0*c. Determine r so that n(r) = 0.
-2, -1, 0
Suppose 5*x + 19 = 74. Let r(p) = 6*p**2 - 8*p. Let j(d) = d**3 - 30*d**2 + 40*d. Let v(y) = x*r(y) + 2*j(y). Factor v(u).
2*u*(u - 1)*(u + 4)
Let a(p) be the second derivative of 3*p**5/50 + 4*p**4/15 + 7*p**3/15 + 2*p**2/5 + 63*p. Factor a(v).
2*(v + 1)**2*(3*v + 2)/5
Factor 0*l**3 - 1/7*l**4 + 0*l - 1/7 + 2/7*l**2.
-(l - 1)**2*(l + 1)**2/7
Let x(c) be the third derivative of c**6/2340 + c**5/780 + c**3/6 + 2*c**2. Let w(d) be the first derivative of x(d). Let w(t) = 0. What is t?
-1, 0
Suppose -l + 23 = p - 4*l, -l - 45 = -5*p. Factor 12*q**3 + 66*q**2 - 60*q**2 - 4*q**3 + 2*q**4 - 8 - p*q.
2*(q - 1)*(q + 1)*(q + 2)**2
Let z be 9 - (5 - 3) - (2 - 0). Let c be ((-6)/z)/(5 - (-327)/(-60)). Factor 0*f - c + 2/3*f**3 + 2*f**2.
2*(f - 1)*(f + 2)**2/3
Suppose 3*k = 10*k - 35. Let l(a) be the third derivative of -1/48*a**6 + 0*a + 0 - 1/24*a**4 - a**2 + 7/120*a**k + 0*a**3. What is y in l(y) = 0?
0, 2/5, 1
Suppose -1/5*j**2 + 0 - 2/5*j**3 + 1/5*j**4 + 2/5*j = 0. Calculate j.
-1, 0, 1, 2
Let s(v) be the second derivative of v**4/42 - 8*v**3/21 - 9*v**2/7 + 67*v. Find x such that s(x) = 0.
-1, 9
Let d(v) = v**3 - 6*v**2 - 5*v - 9. Let h be d(7). Suppose 11 - 1 = h*q. Factor m**3 - 2*m**q + 3*m - m + m**2 - 2*m**3.
-m*(m - 1)*(m + 2)
Suppose 0 = -3*f - 7 + 16. Suppose 10*v = f*v - 0*v. Factor -2/11*r**3 + 4/11*r + 2/11*r**2 + v.
-2*r*(r - 2)*(r + 1)/11
Let -26/7 - 30/7*m**2 + 54/7*m + 2/7*m**3 = 0. What is m?
1, 13
Determine w, given that -76*w + 5*w**3 + 682*w**2 + w**4 - 342*w**2 - 80 - 352*w**2 = 0.
-5, -2, 4
Let k(n) = 7*n - 10. Let d be k(5). Determine m, given that -11*m - 5*m**4 - 9*m - 40*m**2 - 12*m**3 + 12*m**3 - d*m**3 = 0.
-2, -1, 0
Let o(b) 