- 8*v**5/15 - 17*v**4/12 + 200*v**2. Suppose c(p) = 0. What is p?
-1, 0, 17
Let j(a) be the second derivative of -3/20*a**5 + 7*a + 0 + 9/16*a**4 - 3/4*a**3 + 3/8*a**2. Determine z, given that j(z) = 0.
1/4, 1
Factor -2/3*d**4 - 4/3*d + 0 + 0*d**3 + 2*d**2.
-2*d*(d - 1)**2*(d + 2)/3
Suppose -r + 3*r - 4*q = 144, -8 = -4*q. Suppose -13*p + r = -12*p. What is n in 0 + p*n**2 + 38*n - 14*n + 4 - 40*n**2 = 0?
-1/3
Let v(b) be the third derivative of 0*b**4 + 1/24*b**6 + 0*b**3 - 1/4*b**5 + 8*b**2 + 0*b + 0. Solve v(g) = 0 for g.
0, 3
Suppose 4*b - b = 0. Suppose 2*g - 2 = 22*a - 24*a, -8 = -5*g - 2*a. Factor b + 8/5*n - 2/5*n**g.
-2*n*(n - 4)/5
Let x be (-8)/(-14) - 416/(-364). Factor -22/7*i - x - 6/7*i**2.
-2*(i + 3)*(3*i + 2)/7
Suppose 4*p + 63 = 75. Let i(y) be the first derivative of 1 + 0*y + 1/10*y**2 + 1/15*y**p. Determine z, given that i(z) = 0.
-1, 0
Let g(s) be the first derivative of 12 - 8*s - 532/3*s**3 + 128/3*s**6 + 284*s**4 + 54*s**2 - 192*s**5. Find k such that g(k) = 0.
1/4, 1, 2
Factor 8/9*i + 2/9*i**2 - 64/9.
2*(i - 4)*(i + 8)/9
Let q(l) be the third derivative of 0*l + 1/30*l**6 - 29*l**2 - 12/5*l**5 + 72*l**4 - 1152*l**3 + 0. Factor q(m).
4*(m - 12)**3
Let t = 131 - 92. Let d = t + -39. Factor 0 - 1/3*i**3 + d*i**2 + 1/3*i.
-i*(i - 1)*(i + 1)/3
Suppose 5*x = -0 + 10. Let m be ((-45)/35 - (-2)/7) + 5. Suppose 5*j**3 - 11*j**3 - 11*j**x - m*j + j**2 = 0. Calculate j.
-1, -2/3, 0
Let w = 376 - 371. Let f(g) be the third derivative of 0*g**3 + 0*g**w + 1/72*g**4 - 1/360*g**6 + 0 + g**2 + 0*g. Let f(q) = 0. Calculate q.
-1, 0, 1
Let a(r) = -r**2 - 10*r - 12. Let u be a(-3). Let k(i) be the first derivative of -1/2*i**4 + 4*i**3 + 6 - u*i**2 + 0*i. Factor k(c).
-2*c*(c - 3)**2
Let x(a) be the third derivative of -a**7/1470 + a**6/2520 - 11*a**3/6 - 8*a**2. Let f(c) be the first derivative of x(c). Factor f(r).
-r**2*(4*r - 1)/7
Let c(u) be the second derivative of 2*u**7/21 - 2*u**6/15 - 3*u**5/5 + u**4/3 + 4*u**3/3 - 4*u + 1. Factor c(k).
4*k*(k - 2)*(k - 1)*(k + 1)**2
Let z(l) = -2*l**2 - 9*l + 7. Let d be z(-5). Suppose 0 = -2*g + 36 - d. Let 0 - 15*y + 136*y**3 + 0 - 80*y**2 + 84*y**4 - g*y = 0. What is y?
-2, -2/7, 0, 2/3
Let r(x) = 28*x**5 - 72*x**4 - 240*x**3 - 208*x**2. Let n(u) = 2*u**5 + u**2. Let h(k) = 16*n(k) - r(k). Suppose h(w) = 0. Calculate w.
-14, -2, 0
Let y = 34639/5 + -6923. Suppose -12/5*c**3 - 16/5*c + 2/5*c**4 + y*c**2 + 0 = 0. Calculate c.
0, 2
Suppose 2*m - 8 = -0*m. Suppose y = -3*y + 12. What is h in -m*h + h**4 + 3*h - 13*h**3 - h**2 + 14*h**y = 0?
-1, 0, 1
Find j such that 0 - 5/2*j**3 - 1/6*j**5 - 7/6*j**4 - 3/2*j**2 + 0*j = 0.
-3, -1, 0
Let n(b) be the second derivative of b**6/720 - b**5/48 - 7*b**3 + 15*b. Let l(g) be the second derivative of n(g). What is c in l(c) = 0?
0, 5
Let g = 34 - 38. Let m be 4/6*(-2)/g. Factor 0 + m*q**2 + q.
q*(q + 3)/3
Factor 2*o**2 + 0*o + 0 + 5/3*o**3 - 1/3*o**4.
-o**2*(o - 6)*(o + 1)/3
Let b be 2/((3/(-6))/((-1)/3)). Find t, given that 10*t**3 - 43/3*t**2 - b - 7/3*t**4 + 8*t = 0.
2/7, 1, 2
Let y = -112 - -1121/10. Let o(g) be the second derivative of 0 + 5*g + 1/60*g**4 + y*g**3 + 1/5*g**2. Factor o(n).
(n + 1)*(n + 2)/5
Let p(j) be the first derivative of j**7/3360 + j**6/1440 - j**5/48 + j**4/12 + 7*j**3 - 8. Let a(f) be the third derivative of p(f). Let a(l) = 0. What is l?
-4, 1, 2
Let 2/7*z**2 + 6/7 + 8/7*z = 0. What is z?
-3, -1
Let l(u) be the first derivative of -30*u**2 - 185*u + 20. Let w(k) = k**2 + 60*k + 184. Let x(g) = -4*l(g) - 5*w(g). Factor x(d).
-5*(d + 6)**2
Let l(q) be the first derivative of q**3/8 - 45*q**2/8 + 21*q + 377. Factor l(u).
3*(u - 28)*(u - 2)/8
Factor -14/9*f**3 - 8*f + 20/3*f**2 + 16/9.
-2*(f - 2)**2*(7*f - 2)/9
Solve -13/3*l - 1/6*l**2 - 8 = 0.
-24, -2
Let y(i) be the third derivative of 0*i**4 - 1/48*i**6 + 0*i**3 + 12*i**2 + 0*i - 1/12*i**5 + 0. Factor y(u).
-5*u**2*(u + 2)/2
Let a be (-7 - (-1 + 0))/(-2). Let z be (2 - 4/3)*a. Find v, given that 2 + 4*v**2 + 7*v - 3*v - 2*v**z = 0.
-1
Let p = -19028 + 57086/3. What is f in 4*f**2 + 0 - p*f**4 + 0*f + 10/3*f**3 = 0?
-1, 0, 6
Let i = -613 + 616. Let q(z) be the first derivative of 0*z**2 - 1/3*z**i + 2 + z. Determine y so that q(y) = 0.
-1, 1
Let z be 141/(-6) - (-5)/10. Let m = z + 26. Factor -2*i**2 - 4*i**m - 4 + 6 - 2 - 2*i**4.
-2*i**2*(i + 1)**2
Suppose -300 - 3/2*v**3 + 27*v**2 - 90*v = 0. Calculate v.
-2, 10
Factor 32/11*z + 18/11*z**3 + 148/11*z**2 + 0.
2*z*(z + 8)*(9*z + 2)/11
Let j(v) be the second derivative of 0*v**3 + 0*v**4 + 1/84*v**7 + 0 + 0*v**5 + 0*v**2 - 17*v + 1/60*v**6. Determine z, given that j(z) = 0.
-1, 0
Suppose 14*j + 1 = 12*j - n, -n + 3 = 4*j. Let s(m) be the second derivative of 3*m + 3/10*m**6 - 3/4*m**5 + 0*m**j + 0*m**3 + 1/2*m**4 + 0. Factor s(o).
3*o**2*(o - 1)*(3*o - 2)
Let o(a) be the third derivative of -a**5/210 - 11*a**4/28 + 34*a**3/21 - 305*a**2. Let o(f) = 0. What is f?
-34, 1
Let o = -1 - -5. Suppose 0 = -2*l + 4*b, -5*b + o*b - 3 = -2*l. Solve -k**2 + k - l*k**2 + 4*k**2 + 0*k - 2 = 0 for k.
-2, 1
Let g(r) be the third derivative of -r**8/55440 + r**7/3960 + r**6/990 + 2*r**5/15 + 7*r**2. Let i(s) be the third derivative of g(s). Factor i(h).
-2*(h - 4)*(2*h + 1)/11
Let n(l) = l**2 - 14*l + 40. Let t be n(12). Determine m so that 4*m + 5*m + 3*m**5 + t*m**2 + 7*m**2 - 17*m**2 - 6*m**4 - 12*m**3 = 0.
-1, 0, 1, 3
Suppose -7*t = 2*t - 63. Let h = 4 - 1. Factor -t - 3*f - h*f**2 + 7.
-3*f*(f + 1)
Let y = 82/21 + -18/7. Solve 0 + 4/3*i + y*i**2 = 0 for i.
-1, 0
Factor 36/7*j - 3/7*j**2 - 15.
-3*(j - 7)*(j - 5)/7
Let b be (-21)/108 + (175/28 - 6). Let k(y) be the second derivative of 1/9*y**3 + 0 + 0*y**2 - b*y**4 - 5*y. Factor k(r).
-2*r*(r - 1)/3
Factor 2/9*m**2 - 112/9*m + 1568/9.
2*(m - 28)**2/9
Let p be 5/6*2/((-12)/(-63)). Let x = p - 33/4. Factor 1/4*q**4 + 1/4*q**2 + x*q**3 + 0*q + 0.
q**2*(q + 1)**2/4
Factor -30622 - 3*q**3 - 30*q + 33*q**2 + 30622.
-3*q*(q - 10)*(q - 1)
Let u(t) be the second derivative of -t**4/42 + 29*t**3/21 - 78*t**2/7 + 4*t + 29. What is r in u(r) = 0?
3, 26
Suppose -111 = -4*r - 11. Let z be 40/r + (-4)/(-10). Factor -4/11*t + 0 - 2/11*t**4 + 6/11*t**z + 0*t**3.
-2*t*(t - 1)**2*(t + 2)/11
Let w be -1 + 9 + 2*(-15 + 12). Suppose 0 = 3*j + h - 1, 3*j + 1 = 5*h + 14. Factor 3*f**w + 6*f - 13*f + 3 - j.
(f - 2)*(3*f - 1)
Let u(b) be the third derivative of 0 + 13/60*b**5 - 11/120*b**6 + 1/90*b**7 - 1/3*b**3 + 0*b - 46*b**2 - 7/72*b**4. Let u(f) = 0. What is f?
-2/7, 1, 3
Factor 5/2*o**2 + 0 + o.
o*(5*o + 2)/2
Let u(i) = -25*i**3 - 78*i**2 - 87*i - 27. Let f(k) = -17 - 9 - 2398*k + 5*k**3 + 2312*k - 79*k**2 - 30*k**3. Let x(q) = 7*f(q) - 6*u(q). Factor x(n).
-5*(n + 1)*(n + 2)*(5*n + 2)
Let f be -6*((-4)/18 - 744/(-108)). Let b be 16/(-30)*-3*(-30)/f. What is t in -4/5*t**2 - 2/5*t**5 + b*t**3 + 0 + 0*t + 0*t**4 = 0?
-2, 0, 1
Suppose -41 - 180 - 8*m**3 - 69 - 4*m**4 + 96*m - 286 + 92*m**2 = 0. What is m?
-4, 3
Let t be ((-3)/12 - -2) + -1. Let q be (1680/960)/(7/3). Factor t - 3/8*s + 3/8*s**3 - q*s**2.
3*(s - 2)*(s - 1)*(s + 1)/8
Let j(z) be the third derivative of 5*z**2 - 1/84*z**8 + 11/60*z**5 + 1/12*z**4 - 1/210*z**7 + 0*z + 1/10*z**6 + 0 + 0*z**3. Solve j(d) = 0.
-1, -1/4, 0, 2
Let b(o) be the second derivative of -o**3/2 - 7*o**2/2 + o. Let w be b(-4). Factor 3*x**w - 2*x**4 + x**4 + 7*x**4 + 3*x**3.
3*x**3*(x + 1)**2
Let n(q) be the second derivative of 0*q**3 + 0*q**4 + 9*q + 0 + 1/105*q**5 + 0*q**2 - 1/441*q**7 + 1/315*q**6. Suppose n(h) = 0. Calculate h.
-1, 0, 2
Suppose 8 = 4*b, 8*r - 6*r = -2*b + 12. Solve 5376*w**3 + w - 5378*w**3 - w - r*w**2 = 0.
-2, 0
Let z(g) be the second derivative of 3*g**5/80 + 5*g**4/16 - 3*g**3/4 - g - 174. Find w, given that z(w) = 0.
-6, 0, 1
Let m(o) be the first derivative of o**5 + 25*o**4/4 + 40*o**3/3 + 10*o**2 - 51. Suppose m(q) = 0. Calculate q.
-2, -1, 0
Let m be ((-12)/144)/((-1)/8). Suppose m*t**2 - 1/3*t**3 + 0 - 1/3*t = 0. Calculate t.
0, 1
Let i be (-6)/(-30)*5*(-6)/(-2). Factor 6*c**3 - 3*c**i - 4*c**2 + 5*c**3 - 6*c**3.
2*c**2*(c - 2)
Let n(g) be the third derivative of -g**5/240 - 7*g**4/32 - 5*g**3/6 + 91*g**2. Factor n(t).
-(t + 1)*(t + 20)/4
Let y be ((112/4)/(-14))/6 - (-14)/15. What is c in 6/5 + y*c**2 + 9/5*c = 0?
-2, -1
Suppose 24*k = -22*k -