2 - 148*b. Suppose i(a) = 0. Calculate a.
-2, -1/2, -2/15, 1
Solve -25 + 2*x**3 - 40*x**2 - 7*x + 32*x + 275 + 3*x**3 = 0 for x.
-2, 5
Let u = -36 + 66. Factor 80 - 4*l - u*l**2 - 36*l + 35*l**2.
5*(l - 4)**2
Let y(c) be the third derivative of -c**10/529200 - c**9/105840 - c**8/70560 + c**5/10 - 13*c**2. Let u(o) be the third derivative of y(o). Factor u(x).
-2*x**2*(x + 1)**2/7
Let s(b) = 2*b - 5. Let d be s(5). Suppose 2*z = -d*z + 14. Find g such that -4/7 + 2/7*g**z + 2/7*g = 0.
-2, 1
Suppose 0 = -5*u - 0*u + 20. Factor 5 - k**3 + 5*k + u*k**3 - 14*k + 1.
3*(k - 1)**2*(k + 2)
Let m = 8271/6604 - 11/508. Suppose 4/13*o + 2/13*o**2 - m = 0. What is o?
-4, 2
Suppose 17 = 15*q - 73. Let r(k) be the second derivative of 1/20*k**q + k + 3/20*k**5 + 0*k**2 - 1/2*k**3 + 0 - 1/8*k**4. Let r(w) = 0. What is w?
-2, -1, 0, 1
Solve -14/9*t**2 + 50/9*t + 8/3 = 0.
-3/7, 4
Let v = 8 + 9. Factor 1 + 89*y - 1 - 12 - 33*y**2 - v*y.
-3*(y - 2)*(11*y - 2)
Let p = 145 - 143. Let r be (-160)/(-150) + (-24)/9 + p. Factor r*x**3 - 2*x - 2/5*x**2 - 6/5.
2*(x - 3)*(x + 1)**2/5
Let r(b) be the second derivative of 1/105*b**6 - 3/70*b**5 - 8/7*b**2 - 1/21*b**4 + 0 + 4/7*b**3 - 16*b. Determine h so that r(h) = 0.
-2, 1, 2
Let t(o) = -o**2 - 14*o - 31. Suppose 3*h - 6 = 0, 2*r = 4*r + 5*h - 4. Let b be t(r). Factor 0*w + 0 - 1/4*w**b.
-w**2/4
Let c(p) be the second derivative of -27*p**7/7 - 15*p**6 - 19*p**5 - 5*p**4 + 5*p**3 - p**2 + 28*p + 6. Solve c(a) = 0 for a.
-1, 1/9
Let k be ((4 + 2)/(-6))/((-72)/(-15) - 5). Suppose 0*z**3 - 2/7*z**k + 4/7*z**2 + 0 - 4/7*z**4 + 2/7*z = 0. Calculate z.
-1, 0, 1
Let c(n) = -8*n**2 + 52*n + 130. Let l(x) = 65*x**2 - 415*x - 1040. Let v(f) = -25*c(f) - 3*l(f). Factor v(h).
5*(h - 13)*(h + 2)
Let o(k) = -2*k**5 - 3*k**4 - k**3 + 16*k**2 - 12*k - 8. Let z(g) = -g**4 + g**3 + 2*g. Let b(w) = -2*o(w) - 10*z(w). What is s in b(s) = 0?
-4, -1, 1
Factor -4 - 28 + 12*f - 12*f + 2*f**2.
2*(f - 4)*(f + 4)
Suppose 2*t = -3*u + 19, 2*t = -2*u - 2*u + 24. Determine f so that 3*f**2 - 2*f**2 + 0*f**2 + 4*f**t = 0.
0
Let y(d) be the third derivative of d**5/12 - 5*d**4/12 - 20*d**3 + 11*d**2 + 3*d. Factor y(l).
5*(l - 6)*(l + 4)
Suppose -23 = -7*k - 9. Determine q so that 20*q - 4*q**2 + 8 - 26 + k = 0.
1, 4
Let t(i) = -i**3 - i**2 + 2. Let f be t(-2). Suppose -2*h**2 - 11 + 3 + f*h - 14*h = 0. Calculate h.
-2
Let z be (0 - -1) + 632/(-396). Let y = 9/11 + z. Solve -2/9*w**4 + 2/9*w**3 + 0 + 2/9*w**2 - y*w = 0.
-1, 0, 1
Solve 21*a - 2*a**2 - 15*a**5 - 21*a**4 + 4*a + a + 23*a**2 - 20*a + 9*a**3 = 0 for a.
-1, -2/5, 0, 1
Let r = 435538/163329 - -2/54443. Factor r*p**3 + 0 - 2/3*p**2 - 2/3*p**4 - 4*p.
-2*p*(p - 3)*(p - 2)*(p + 1)/3
Let b be 66/4 - (9/6)/(-1). Let o be (b/(-12))/(-3 + (-18)/(-8)). Suppose 0*i + 0 + 2/9*i**o = 0. What is i?
0
Let d(u) be the first derivative of -3*u**5/40 + 3*u**4/8 - 3*u**3/4 + 3*u**2/4 - 18*u + 5. Let j(a) be the first derivative of d(a). Find n such that j(n) = 0.
1
Suppose -16*h = -26 - 6. Factor 61*j**3 + 7*j**4 - 35*j**3 + 15*j - 40*j**3 + h*j**2 - 9 - j**5.
-(j - 3)**2*(j - 1)**2*(j + 1)
Suppose 2*p + 1 - 53 = -4*b, 0 = 3*p + 3*b - 66. Factor 15*i - 30*i**3 - i**5 + p*i**2 - i**5 + 14*i**4 - 15*i.
-2*i**2*(i - 3)**2*(i - 1)
Let m = -1027 + 677821/660. Let s(j) be the third derivative of 0 + 2*j**2 + 0*j**3 + 0*j + m*j**6 + 1/132*j**4 - 1/165*j**5. Determine f, given that s(f) = 0.
0, 1
Determine l so that -3*l**2 + 10*l**4 + 0*l + 0*l**2 - 2*l**2 - 14*l**3 + 3*l**2 + 6*l = 0.
-3/5, 0, 1
Let l(y) = -12*y**3 + 145*y**2 - 968*y - 1125. Let z(n) = 11*n**3 - 145*n**2 + 969*n + 1125. Let h(f) = -6*l(f) - 7*z(f). Factor h(a).
-5*(a - 15)**2*(a + 1)
Let p be 12/20*-19 - -12. Let 27/5*v**2 - 18/5*v + p = 0. What is v?
1/3
Let k(z) = 2*z**3 + 1. Let c(f) = -40*f**3 - 5*f**2 + 20*f. Let a be (2 - 18/(-6)) + -6. Let q(u) = a*c(u) - 15*k(u). Factor q(j).
5*(j + 1)**2*(2*j - 3)
Let j(k) = -27*k**3 + k**2 + k + 1. Let h be j(-1). Suppose h*s - 32*s + 80 = 0. Factor 10*i**2 - 8*i**2 + 32*i**3 + 4*i**5 + s*i**4 + i**2 + 13*i**2.
4*i**2*(i + 1)*(i + 2)**2
Let x = 8698 + -17395/2. Factor 0*w**2 + 0 - 1/4*w**4 + x*w**3 + 0*w.
-w**3*(w - 2)/4
Let d(n) = n**2 - 358*n - 32404. Let u(v) = -4*v**2 + 1073*v + 97214. Let f(j) = -7*d(j) - 2*u(j). Suppose f(l) = 0. What is l?
-180
Let x(m) = -m - 4. Let g be (-2 - 3/(-2))*16. Let p be x(g). Factor -4*o + 0 + 4*o**3 + 0*o + 2 - 2*o**p.
-2*(o - 1)**3*(o + 1)
Let d(x) be the first derivative of 20*x + 0*x**2 + 5 - 5/3*x**3. Find r such that d(r) = 0.
-2, 2
Factor 5/2*f - 1/2*f**3 - 3/2 - 1/2*f**2.
-(f - 1)**2*(f + 3)/2
Factor -12/7 - 155/7*s**2 - 38/7*s**3 - 164/7*s.
-(s + 2)**2*(38*s + 3)/7
Let j(a) be the first derivative of -a**8/1120 + a**7/280 - a**6/240 + 13*a**3 + 51. Let s(b) be the third derivative of j(b). Factor s(f).
-3*f**2*(f - 1)**2/2
Let v be (-207)/9 + (-425)/(-17). Factor -3/5*l + v - 1/5*l**2.
-(l - 2)*(l + 5)/5
Let v = 5031260/62371 - -2/187113. Factor -v - 860/3*z**2 - 50/3*z**4 - 2/3*z**5 - 380/3*z**3 - 770/3*z.
-2*(z + 1)**3*(z + 11)**2/3
Let b(j) be the second derivative of -j**6/105 - j**5/10 + j**4/42 + j**3/3 + 60*j. Determine m so that b(m) = 0.
-7, -1, 0, 1
Suppose 10*n + n**5 + 0*n**5 - 5*n**2 - 26*n**3 + 5*n**4 + 4*n**5 + 11*n**3 = 0. What is n?
-2, -1, 0, 1
Factor 16*y**3 + 8*y**3 + 5*y**3 + 18*y + y**5 - 39*y**2 - 8*y**4 - y**4.
y*(y - 3)**2*(y - 2)*(y - 1)
Factor 125*n**2 - 79*n**2 - 62*n**2 - 4*n**3.
-4*n**2*(n + 4)
Factor 121*j + 27*j**3 - 54 + 5*j**2 - 208*j + 3*j**4 - 14*j**2.
3*(j - 2)*(j + 1)**2*(j + 9)
Let h(z) be the second derivative of 25/6*z**3 - 31*z - 5/12*z**4 + 15*z**2 + 0. Factor h(a).
-5*(a - 6)*(a + 1)
Let o = 2 + -7/4. Let t be 1/(-3)*12*(-7)/112. Factor 1/4*k**2 - 1/4*k + t*k**3 + 0 - o*k**4.
-k*(k - 1)**2*(k + 1)/4
Let z(a) be the first derivative of a**6/720 - a**4/12 - a**3/3 + 6. Let k(t) be the third derivative of z(t). Suppose k(d) = 0. Calculate d.
-2, 2
Suppose 22/13 - 2/13*a**2 + 20/13*a = 0. What is a?
-1, 11
Let g(x) = -12*x**2 - 64*x - 152. Let v(k) = 2*k**2 + 1. Let l(q) = g(q) + 8*v(q). Suppose l(c) = 0. What is c?
-2, 18
Factor 14*i**2 + 4*i**3 - 454*i + 6*i**2 + 478*i.
4*i*(i + 2)*(i + 3)
Let i = 60/101 - -3/505. Let 9/5*a + 12/5 - i*a**2 = 0. What is a?
-1, 4
Factor 3*k**2 + 5*k + k - 12*k - 10 + 1.
3*(k - 3)*(k + 1)
Let d be (-4)/3 + 10/3. Factor 6*y**2 - 3*y**d + 0*y - 11*y + 2*y.
3*y*(y - 3)
Factor 0 + 52/9*b**2 - 338/9*b - 2/9*b**3.
-2*b*(b - 13)**2/9
Determine o so that 46/15*o**3 + 0 - 16/15*o**4 + 8/5*o - 56/15*o**2 + 2/15*o**5 = 0.
0, 1, 2, 3
Suppose -9 = 4*c - 5*c - j, -2*c + 12 = 4*j. Let r be 2/4 + 42/c. Factor 28/11*o**5 + 0*o + 6/11*o**r + 0*o**2 - 4/11*o**3 + 0.
2*o**3*(2*o + 1)*(7*o - 2)/11
Let -1/2*s**3 + 3 - 13/2*s + 4*s**2 = 0. What is s?
1, 6
Suppose 10 + 18 = 14*p. Let z(a) be the first derivative of 0*a**p + 0*a**3 - 6 + 0*a - 1/4*a**4. Factor z(g).
-g**3
Factor 122 + 38*r**3 + 52 - 54*r**2 + 122*r - 40*r**3.
-2*(r - 3)*(r + 1)*(r + 29)
Factor -1 + 4 - d**2 - 8 - 3 - d**2 - 10*d.
-2*(d + 1)*(d + 4)
Suppose -273*y + 1 = -276*y - 5*j, -5*y - 2*j = -11. Solve -25/12*o**y + 5/6*o**2 + 0 - 1/12*o = 0.
0, 1/5
Let r(b) = -55*b**4 + 191*b**3 - 135*b**2 + 31*b - 7. Let n(x) = 27*x**4 - 95*x**3 + 67*x**2 - 15*x + 3. Let f(j) = -7*n(j) - 3*r(j). Find p such that f(p) = 0.
0, 1/3, 1/2, 3
Solve 2/11*c**3 + 80/11*c**2 + 14*c + 76/11 = 0.
-38, -1
Let r(u) be the third derivative of u**7/105 + u**6/3 + 39*u**5/10 + 27*u**4/2 - 102*u**2. Find q such that r(q) = 0.
-9, -2, 0
Let o(g) be the third derivative of -g**7/27720 + g**6/3960 + 2*g**4/3 - 4*g**2. Let v(z) be the second derivative of o(z). Let v(f) = 0. Calculate f.
0, 2
Suppose 0 = 2*o - 3*q - 12, -4*o - 11 = 3*q + 1. Let y(g) be the first derivative of 0*g - 2/51*g**3 + 8 + o*g**2. Solve y(t) = 0.
0
Suppose 1030 = 313*m + 91. Determine i, given that 0 + 0*i + 4*i**m + 2/5*i**4 + 10*i**2 = 0.
-5, 0
Let u(g) be the second derivative of g**7/2520 - g**6/360 + g**5/180 - g**3/6 - 10*g. Let x(d) be the second derivative of u(d). Solve x(z) = 0.
0, 1, 2
Let q = 11641/5 + -2328. Let 3/5*i**2 + q*i**4 + 0 + 3/5*i**3 + 1/5*i = 0. What is i?
-1, 0
Factor 96/5 - 1896/5*b - 29406/5*b**3 + 12636/5*b**2 + 6591/5*b**4.
3*(b - 4)*(13*b - 2)**3/5
Let l = -522 + 41761/80.