- 1)*(s + 1)**2
Let v be 2*1 - (654 + 3). Let t = -7195/11 - v. Factor 4/11 + t*j + 8/11*j**2 + 2/11*j**3.
2*(j + 1)**2*(j + 2)/11
Let a(g) be the first derivative of -1 + 1/6*g**4 - 1/3*g**2 + 2/9*g**3 - 2/3*g. Solve a(i) = 0.
-1, 1
Let g(k) be the second derivative of 0*k**3 + 1/168*k**7 - 3/80*k**5 + 0 + 0*k**2 - k + 0*k**6 - 1/24*k**4. Factor g(w).
w**2*(w - 2)*(w + 1)**2/4
Find m such that 15*m - 19*m**2 + 29*m**3 - 17*m**2 - 27*m**3 + 400 + 105*m = 0.
-2, 10
Let j(s) = 32*s**2 - 381*s + 385. Let q(t) = -14*t**2 + 190*t - 192. Let h(n) = -4*j(n) - 9*q(n). Solve h(x) = 0.
-94, 1
Let t be ((-85)/(-153))/((-15)/(-78)). Suppose -8/9*l**2 + t*l - 2/3 = 0. What is l?
1/4, 3
Let x(t) be the second derivative of 3*t**5/20 + 21*t**4/2 + 294*t**3 + 4116*t**2 - 74*t. Factor x(r).
3*(r + 14)**3
Let t(s) be the first derivative of 2/3*s**2 + 0*s**3 - 1/12*s**4 + 10 + 0*s. What is n in t(n) = 0?
-2, 0, 2
Let s(t) be the first derivative of -t**5/40 + 11*t**4/16 - 35*t**3/6 + 25*t**2/2 + 417. Factor s(a).
-a*(a - 10)**2*(a - 2)/8
Let q(o) be the first derivative of -o**4/2 + 26*o**3/3 - 32*o**2 + 40*o - 96. Suppose q(b) = 0. What is b?
1, 2, 10
Let p(c) be the second derivative of -c**7/840 + c**6/360 - 7*c**3/3 - 4*c. Let b(a) be the second derivative of p(a). Factor b(i).
-i**2*(i - 1)
Let p(t) = -t**3 - 2*t**2 - 9. Let j be p(0). Let r = 11 + j. Suppose 5 - 2*i + 2*i**r - 6 + 2*i - i**4 = 0. What is i?
-1, 1
Suppose -8*a = -13*a + 10. Let s(w) be the second derivative of 1/4*w**4 + 3*w**a + 3/2*w**3 + 4*w + 0. Find o, given that s(o) = 0.
-2, -1
Let a(z) be the third derivative of -14*z**2 + 5/18*z**3 + 0 + 1/12*z**4 + 0*z + 1/180*z**5. Factor a(v).
(v + 1)*(v + 5)/3
Let c be ((-6)/5)/(9/(-30)). Let g be (4 - (-192)/(-45))*(-6)/c. Suppose g*f**3 + 0*f + 0 + 2/5*f**2 = 0. What is f?
-1, 0
Let m(g) be the second derivative of -g**8/1344 + g**7/504 + g**6/144 - g**5/24 + 13*g**4/12 - 6*g. Let w(f) be the third derivative of m(f). Factor w(n).
-5*(n - 1)**2*(n + 1)
Let t(g) be the second derivative of g**7/24 - 19*g**6/120 + g**5/10 + g**4/12 - 13*g - 1. Let t(x) = 0. Calculate x.
-2/7, 0, 1, 2
Let p(x) = -31*x**5 - 11*x**4 + 20*x**3. Let o(s) be the first derivative of s**6 + 2*s**5/5 - s**4 - 31. Let r(v) = -11*o(v) - 2*p(v). Factor r(t).
-4*t**3*(t - 1)*(t + 1)
Let t(f) be the first derivative of -4*f**5/5 + 13*f**4/2 - 8*f**3/3 - 13*f**2 + 12*f - 197. Find o such that t(o) = 0.
-1, 1/2, 1, 6
Let w(j) be the second derivative of -7/75*j**6 + 7/30*j**4 + 0 - 2/15*j**3 - 43*j - 3/50*j**5 + 1/21*j**7 + 0*j**2. What is h in w(h) = 0?
-1, 0, 2/5, 1
Let x = -1258 - -3790/3. Factor x*h - 16/3 - 4/3*h**2.
-4*(h - 2)**2/3
Factor -2/7*w**3 - 10/7*w**2 - 16/7*w - 8/7.
-2*(w + 1)*(w + 2)**2/7
Let u(q) be the second derivative of -q**5/60 - 53*q**4/6 - 5618*q**3/3 - 595508*q**2/3 - 34*q. Suppose u(r) = 0. Calculate r.
-106
Let c(o) be the first derivative of -2/3*o**3 + 0*o + 12 + 2*o**2. Determine z so that c(z) = 0.
0, 2
Let j(y) = 5*y**4 + 57*y**3 + 152*y**2 + 64*y - 32. Let h(l) = 4*l**4 + 55*l**3 + 153*l**2 + 64*l - 32. Let b(i) = -4*h(i) + 6*j(i). Factor b(t).
2*(t + 1)*(t + 4)**2*(7*t - 2)
Let l(o) be the second derivative of o**7/420 + o**6/180 - o**5/12 + o**4/4 - 3*o**3/2 - 2*o. Let p(b) be the second derivative of l(b). Solve p(z) = 0.
-3, 1
Let -2/15*g**3 + 4/3*g**2 + 0 + 22/15*g = 0. What is g?
-1, 0, 11
Let v be 16/(-6)*-12 - -1. Suppose -3*f - f - 5*k = -v, -k + 11 = 3*f. Factor -4 + 4*l**3 + 4 - 2*l - f*l**5.
-2*l*(l - 1)**2*(l + 1)**2
Let k(s) = s**3 - 10*s**2 + 25*s + 2. Let t(v) = 5*v**3 - 50*v**2 + 125*v + 11. Let z(d) = -11*k(d) + 2*t(d). Factor z(w).
-w*(w - 5)**2
Let v be 5 + 2/(-2)*5. Suppose 3*t + 0*q - 6 = -3*q, t + 4*q = 8. Factor -2/3*b**5 + v*b**3 - 4/3*b**4 + t + 2/3*b + 4/3*b**2.
-2*b*(b - 1)*(b + 1)**3/3
Let y(c) be the first derivative of -c**8/2800 - c**7/700 - c**6/600 - c**3/3 - 14. Let v(d) be the third derivative of y(d). Solve v(r) = 0.
-1, 0
Let q(h) = 197*h - 6895. Let f be q(35). Find v, given that -8/3*v**4 + f*v**2 - 2*v**3 + 0 - 2/3*v**5 + 0*v = 0.
-3, -1, 0
Suppose 2*v + 4 = -d, -8 = 16*v - 12*v. Let j(m) be the third derivative of d - 1/30*m**4 + 11*m**2 + 1/15*m**3 + 1/150*m**5 + 0*m. Factor j(s).
2*(s - 1)**2/5
Let d = -21 + 15. Let n be d/(-10) - (-3 - 1344/(-390)). Find u, given that -6/13*u**4 + 4/13*u**2 - n*u**5 + 6/13*u + 2/13 - 4/13*u**3 = 0.
-1, 1
Let g = 140/493 + 2/29. Determine s so that -g*s**3 + 16/17*s**2 - 14/17*s + 4/17 = 0.
2/3, 1
Suppose -28 = -g - 5*k, 2*g - 2*k - 14 = g. Suppose g = m - 5*t - 2, -4 = m + t. Solve -8/5 + 2/5*n**3 + 6/5*n**2 + m*n = 0.
-2, 1
Find i such that -1/2*i**2 + 3/4 - 1/4*i**4 - i + i**3 = 0.
-1, 1, 3
Let m(n) be the first derivative of 1/4*n**3 + 6*n + 12 + 0*n**2 - 1/8*n**4. Let u(q) be the first derivative of m(q). Let u(w) = 0. What is w?
0, 1
Let q(a) be the third derivative of -2*a**7/945 + a**6/270 + 2*a**5/135 - 25*a**2 + 3. Factor q(g).
-4*g**2*(g - 2)*(g + 1)/9
Let a(y) be the third derivative of -19*y**2 - 32/21*y**3 + 1/15*y**5 + 0*y - 4/21*y**4 - 1/210*y**6 + 0. Suppose a(o) = 0. What is o?
-1, 4
Let c = 6462 - 32308/5. Factor -c + 2/15*i**2 - 4/15*i.
2*(i - 3)*(i + 1)/15
Let w(c) = -2*c**2 - 2*c + 4. Let r(z) = 9*z**2 + 12*z - 21. Let m(n) = -5*r(n) - 24*w(n). Find f such that m(f) = 0.
1, 3
Let s(b) be the first derivative of -b**4 + 20*b**3/3 + 2*b**2 - 20*b - 10. Factor s(x).
-4*(x - 5)*(x - 1)*(x + 1)
Let y(n) be the second derivative of -n**7/3024 - n**6/216 - n**5/36 + 7*n**4/2 + 18*n. Let w(r) be the third derivative of y(r). Solve w(s) = 0.
-2
Factor -25/4*z**3 - 40 - 125*z - 65*z**2.
-5*(z + 2)*(z + 8)*(5*z + 2)/4
Let q(p) = 14 - 30*p - 1599*p**3 - 55*p**2 + 22 + 1614*p**3. Let t(i) = -15*i**3 + 55*i**2 + 30*i - 37. Let j(g) = 3*q(g) + 4*t(g). Factor j(m).
-5*(m - 4)*(m + 1)*(3*m - 2)
Let a = 23 - 11. Suppose 0*c**2 + c**3 - 11*c + 2*c**2 + a*c = 0. Calculate c.
-1, 0
Find j, given that 41/3 + 1/3*j**2 + 14*j = 0.
-41, -1
Let j(x) be the first derivative of 3*x**4/2 - 40*x**3/3 + 39*x**2 - 36*x + 74. Factor j(u).
2*(u - 3)**2*(3*u - 2)
Let u(h) = -h**3 - h**2 - 35*h - 35. Let f be u(-1). Suppose 8*s**2 + f + 8/3*s + 2/3*s**5 + 4*s**4 + 26/3*s**3 = 0. Calculate s.
-2, -1, 0
Let i(q) be the third derivative of -q**5/300 + 41*q**4/60 - 1681*q**3/30 - 3*q**2 + 18. Factor i(p).
-(p - 41)**2/5
Let c be (-1 - 17) + 55836/2961. Solve -1/7*k + c - 1/7*k**2 = 0.
-3, 2
Factor 4*v**2 + 2/5*v**3 - 86/5*v - 104/5.
2*(v - 4)*(v + 1)*(v + 13)/5
Let h(n) = -9*n**3 + n**2 - 1. Let y be h(-1). Suppose q + 5 - y = 0. Factor -2*k - q*k**3 + 2*k**4 - 3*k**5 + 2*k + 5*k**5.
2*k**3*(k - 1)*(k + 2)
Let i be (-5)/(-2)*(230/50 - 5)*-2. Suppose 1/2*g + 1 - 1/2*g**i = 0. What is g?
-1, 2
Factor -6/5*a**3 - 8/5 + 2*a**2 + 8/5*a.
-2*(a - 2)*(a + 1)*(3*a - 2)/5
Let h(t) = -13*t**3 - 11*t**2 - 7*t - 3. Let o(q) = 116*q**3 + 100*q**2 + 62*q + 26. Let k be -2 + -3 - (-5 + 6). Let p(b) = k*o(b) - 52*h(b). Factor p(j).
-4*j*(j + 1)*(5*j + 2)
Suppose 0*b + 5*b - 155 = 0. Let p = -30 + b. Factor p + 15/2*t**3 - 8*t**2 - 1/2*t.
(t - 1)*(3*t + 1)*(5*t - 2)/2
Let s(v) be the second derivative of 1/63*v**7 + 0 + 0*v**2 + 0*v**5 - 1/9*v**3 - v - 2/45*v**6 + 1/9*v**4. Suppose s(a) = 0. What is a?
-1, 0, 1
Suppose -2303*o**2 - 2442*o + 1944 - 258*o + 1985*o**2 - 9*o**3 = 0. What is o?
-18, 2/3
Let x(d) be the second derivative of d**7/630 - d**6/10 + 27*d**5/10 - 7*d**4/4 + 2*d + 2. Let l(q) be the third derivative of x(q). Factor l(c).
4*(c - 9)**2
Let z(o) be the second derivative of 1/6*o**4 + 32*o - 1/15*o**6 - 8/3*o**3 + 1/2*o**5 + 4*o**2 - 1/21*o**7 + 0. Factor z(w).
-2*(w - 1)**3*(w + 2)**2
Suppose 72 + 916*n**3 - 2*n**4 + 86*n**2 + 4*n**2 - 910*n**3 + 154*n = 0. What is n?
-4, -1, 9
Let l be 5 + (-2 - 2) - -1. Factor 2*f**3 - 10*f**2 + 0*f**l + 7 + 2 + 7 + 4*f.
2*(f - 4)*(f - 2)*(f + 1)
Suppose 12*t = -11*t + 26*t. Let r(h) be the third derivative of 0*h - 1/120*h**4 + h**2 + t*h**3 + 0 - 1/600*h**6 - 1/150*h**5. Factor r(s).
-s*(s + 1)**2/5
Let u = -23348/11 + 2123. Let a(v) be the first derivative of -u*v**2 - 12/11*v + 12 + 8/33*v**3. Factor a(j).
2*(j - 2)*(4*j + 3)/11
Suppose 11*n + 415 = 448. Determine k, given that 4/11*k**2 + 0 - 6/11*k + 2/11*k**n = 0.
-3, 0, 1
Suppose 0 = 4