f(g) = 0 for g.
-2, -1, 5
Let k(o) be the third derivative of 5*o**8/504 + 29*o**7/945 - 19*o**6/540 - 11*o**5/90 + o**4/27 + 4*o**3/27 + 7*o**2 - 8*o. What is n in k(n) = 0?
-2, -1, -1/3, 2/5, 1
Let o be 2/((-48)/(-30)*5). Let f(i) be the second derivative of 1/2*i**3 + o*i**4 + 2*i + 0 - 3*i**2. Factor f(k).
3*(k - 1)*(k + 2)
Factor 27/7*n + 0 - 3/7*n**3 + 0*n**2.
-3*n*(n - 3)*(n + 3)/7
Factor 11*n**4 - 9*n**5 + 10*n**3 - 8*n**3 + 10*n**4 - 8*n**3.
-3*n**3*(n - 2)*(3*n - 1)
Let t = 37 - 34. Find v, given that 204*v**4 + 48*v**4 + 8*v + 205*v**t + 13*v**3 + 72*v**2 + 98*v**5 = 0.
-1, -2/7, 0
Let s = -11828 + 11832. Suppose 0*t**3 + 3/4*t**s + 1/4*t**5 + 0 + 0*t**2 + 0*t = 0. Calculate t.
-3, 0
Let c(r) be the first derivative of 5/6*r**6 + 20*r + 20*r**2 - 43 + 5/3*r**3 - r**5 - 25/4*r**4. Let c(z) = 0. What is z?
-1, 2
Let z be (2/12)/((-19)/(-570)). Let m be (40/14)/z*49/21. Factor m + 2/3*k**2 + 2*k.
2*(k + 1)*(k + 2)/3
Let j = -1778 + 12448/7. Let f(q) be the second derivative of -j*q**2 - 8*q + 4/21*q**3 + 0 - 1/21*q**4. Let f(s) = 0. What is s?
1
Determine p so that -28*p**3 - 6*p + 55*p**4 - 244*p**2 + 60*p**5 + 141*p**4 + 48 - 28*p + 2*p = 0.
-3, -1, -2/3, 2/5, 1
Let a(f) = -f**2 - 8*f + 5. Let p be a(-8). Suppose p = 4*d - 5*n + 22, 5*d - 15 = -n. Factor -2/5*c**3 + 1/5*c**5 + 0*c**4 + 1/5*c + 0 + 0*c**d.
c*(c - 1)**2*(c + 1)**2/5
Determine m so that 20 + 7347*m**3 + 900*m + 4994*m**3 + 20 + 4534*m**3 + 6750*m**2 = 0.
-2/15
Let y be (2/20)/(5/20)*1*2. Factor 0 - 196/5*n - y*n**3 - 56/5*n**2.
-4*n*(n + 7)**2/5
Let p be 54/999 - (-12)/(-222). Factor -1/8*r**2 + 1/8*r**3 + p*r + 0.
r**2*(r - 1)/8
Let i(n) = n**2 - 28*n + 60. Let z be i(22). Let r be 3/9*z/(-132). Find y, given that 6/11*y**2 - r*y**3 - 6/11 + 2/11*y = 0.
-1, 1, 3
Let l(x) be the second derivative of x**8/6720 + x**7/1260 + x**6/720 - 2*x**4/3 - 10*x. Let h(r) be the third derivative of l(r). What is f in h(f) = 0?
-1, 0
Let t(l) be the first derivative of 0*l - 5/2*l**4 - 22/5*l**5 - 4/3*l**6 + 0*l**2 - 8 + 4/3*l**3. Let t(r) = 0. Calculate r.
-2, -1, 0, 1/4
Let g(a) be the first derivative of 1/6*a**6 - a + 2/3*a**3 - 1/2*a**4 - 1/5*a**5 + 1/2*a**2 - 32. Factor g(f).
(f - 1)**3*(f + 1)**2
Let z(l) = 3*l**3 + 25*l**2 + 28*l - 48. Let n(f) = -9*f**3 - 74*f**2 - 83*f + 144. Let b(w) = -4*n(w) - 11*z(w). Find x such that b(x) = 0.
-4, 1
Let z be 2/9 - (183/(-27) - -2). Factor 9*y**2 - 27 + y**2 - z*y**3 + 20*y - 13.
-5*(y - 2)**2*(y + 2)
Let i(w) = -w**2 + 516*w + 525. Let z(m) = -10*m**2 + 4645*m + 4725. Let n(c) = -35*i(c) + 4*z(c). Determine v so that n(v) = 0.
-1, 105
Factor -3/2*b**3 + 39/2*b**2 - 135/2 + 99/2*b.
-3*(b - 15)*(b - 1)*(b + 3)/2
Let g(f) be the third derivative of -19*f**5/390 - f**4/78 + 316*f**2. Factor g(w).
-2*w*(19*w + 2)/13
Factor 5 + 7*y - 3/4*y**2.
-(y - 10)*(3*y + 2)/4
Let c be (-12)/(-126)*7/(-140)*-112. Solve -16/15*h**2 - 2/15*h**4 + 0 + c*h + 2/3*h**3 = 0.
0, 1, 2
Let x(g) be the first derivative of -g**8/1680 - g**7/840 + g**6/360 + g**5/120 - g**3 + 3. Let u(b) be the third derivative of x(b). Solve u(f) = 0 for f.
-1, 0, 1
Let b(r) = r**2 - 11*r + 2. Let n be b(11). Let v(k) = 4*k**2 + 45*k + 105. Let o(s) = 2*s**2 + 22*s + 52. Let t(l) = n*v(l) - 5*o(l). Factor t(i).
-2*(i + 5)**2
Let l be (-76)/22 + 29/145*30. Factor -2/11*x**2 - 98/11 - l*x.
-2*(x + 7)**2/11
Let a = 39783/7 - 5683. Factor 4/7*w - a*w**2 + 0 - 2/7*w**3.
-2*w*(w - 1)*(w + 2)/7
Let y(z) be the third derivative of z**5/100 - 49*z**4/20 + 2401*z**3/10 + 7*z**2 - 35*z. Factor y(j).
3*(j - 49)**2/5
Let j(l) = 3*l**3 + l + 1. Let r(n) = -2*n**3 - n**2 - 3*n - 1. Let f(g) = j(g) + r(g). Let f(i) = 0. Calculate i.
-1, 0, 2
Let t(n) be the third derivative of 10*n**2 + 0*n**6 + 1/10*n**3 + 1/350*n**7 + 0*n + 0*n**4 - 1/50*n**5 + 0. Factor t(v).
3*(v - 1)**2*(v + 1)**2/5
Let h(y) be the first derivative of y**6/180 - y**5/120 - y**4/24 + y**3/3 + 4. Let v(x) be the third derivative of h(x). Solve v(c) = 0 for c.
-1/2, 1
Solve 4/3*s**3 - 12*s**2 - 64*s - 208/3 = 0 for s.
-2, 13
Let b = 83 + -80. Suppose 2*h + b - 11 = 0. Find y, given that -4*y**3 - 3*y**2 - 3/2*y**h + 0*y + 1/2 = 0.
-1, 1/3
Let q be ((-7)/2)/((-22)/(-4) - 5). Let n be q/(252/128) + 4. Factor 0*t**3 - 2/9*t**4 - 2/9 + 0*t + n*t**2.
-2*(t - 1)**2*(t + 1)**2/9
Let f be (-335)/(-210) + -2*3/4. Let p(r) be the first derivative of f*r**3 - 1/7*r**2 + 0*r - 5. Factor p(m).
2*m*(m - 1)/7
Factor 0*a**3 + 103635*a**2 - 4*a**3 + 216*a - 103695*a**2.
-4*a*(a - 3)*(a + 18)
Let n = -11/4 + 9/4. Let r = n + 1. What is g in -1/4 + g**3 + 7/4*g**2 + r*g = 0?
-1, 1/4
Let d(u) be the second derivative of u**6/18 - 14*u**5/15 + 11*u**4/3 + 8*u**3 + 39*u + 1. Find p such that d(p) = 0.
-4/5, 0, 6
What is d in 543*d - 139*d + 88*d**4 + 648 + 116*d**2 - 60*d**3 + 424*d - 84*d**4 = 0?
-2, -1, 9
Let n be (-4)/((-8)/10) + -3. Suppose -3*g + 4 = -n. Factor 4*s**g + 2*s + 3 + 4*s - s**2.
3*(s + 1)**2
Let l(r) = r**2 - r + 1. Let y be 378/70 - 4/10. Suppose -y*a + 12 = -6*a. Let d(i) = 3*i**2 - i + 4. Let g(k) = a*l(k) + 3*d(k). Factor g(v).
-3*v*(v - 3)
Suppose -13 = 6*l - 25. Factor -4/9*t**l - 64/9 - 32/9*t.
-4*(t + 4)**2/9
Let p(v) be the second derivative of 0*v**3 + 0 + 28*v + 5/12*v**4 - 5/2*v**2. Find u, given that p(u) = 0.
-1, 1
Let g = 1484 + -2887/2. What is v in 0*v + 3/2*v**4 + 27*v**2 + 12*v**3 - g = 0?
-3, 1
Let a = -815 - -4077/5. Determine x so that 2/5*x**3 - a*x - 2/5*x**2 + 2/5 = 0.
-1, 1
Let k be ((-10)/(-3))/5*3. Factor -u + u - u - u + k*u**2 - 4.
2*(u - 2)*(u + 1)
Let d be -1 + (-2 - -3)*1. Let t be d*3/6 - -4. What is c in 2*c**4 + 2*c**3 - 5*c**2 + 2*c**5 - t*c**3 + 0*c**3 + 3*c**2 = 0?
-1, 0, 1
Let q(l) = -l**3 + l**2 + 9*l + 2. Let y be q(4). Let k be (-5)/y*2 - (-1)/(-3). What is f in 4/3 - k*f**2 - 2/3*f = 0?
-2, 1
Let z(q) = -q**3 - 5*q**2 - 5*q. Let b = 6 - 10. Let f be z(b). Solve -1 - 2*x - 3*x**2 - x + f + 3*x**3 = 0.
-1, 1
Let w = 31 + -19. Solve -20*j + 3 + 4*j**2 - 8 - 4*j**3 + w*j**2 + 13 = 0.
1, 2
Let x(f) be the first derivative of 0*f**3 + 1/5*f**5 - 9 + 0*f + 2*f**2 - 3/4*f**4. Suppose x(w) = 0. What is w?
-1, 0, 2
Let w(i) be the third derivative of -1/360*i**6 + 0*i + 0 - 35*i**2 + 1/18*i**4 + 2/9*i**3 - 1/180*i**5. Factor w(n).
-(n - 2)*(n + 1)*(n + 2)/3
Let o(u) = -3*u**4 - u**2 + u - 1. Let h(m) = -4*m**4 - 22*m**3 + 72*m**2 - 88*m + 34. Let p(v) = -2*h(v) + 4*o(v). Factor p(i).
-4*(i - 6)*(i - 3)*(i - 1)**2
Let p(k) be the first derivative of -31 + 5/6*k**4 + 0*k + 4/9*k**3 + 8/15*k**5 + 1/9*k**6 + 0*k**2. Solve p(f) = 0 for f.
-2, -1, 0
Let t = -7/3410 - 2168711/23870. Let p = -90 - t. Let -p*g**3 + 0*g + 0 + 4/7*g**2 - 24/7*g**4 - 2*g**5 = 0. Calculate g.
-1, 0, 2/7
Suppose 2/5*s - 18/5*s**2 + 4/5 - 2*s**4 - 26/5*s**3 = 0. Calculate s.
-1, 2/5
Let f = 21 - 19. Let h(p) be the second derivative of 1/6*p**4 + 0*p**2 - 2/9*p**3 + 0 - 1/30*p**5 - f*p. What is o in h(o) = 0?
0, 1, 2
Suppose o - o = 5*o. Let m be 1 - 1 - o/6. Factor 2*z**4 - 2*z**2 + 1/2*z**3 + m - 1/2*z.
z*(z - 1)*(z + 1)*(4*z + 1)/2
Let u(p) be the second derivative of -p**7/1680 - p**6/144 - 7*p**5/240 - p**4/16 - 2*p**3 - 4*p. Let x(n) be the second derivative of u(n). Factor x(j).
-(j + 1)**2*(j + 3)/2
Let h(d) be the third derivative of -1/45*d**5 + 1/72*d**4 + 0*d + 1/6*d**3 + d**2 + 0. Suppose h(y) = 0. What is y?
-3/4, 1
Let n(z) be the second derivative of -z**5/150 + z**3/15 - 15*z**2/2 + 25*z. Let y(u) be the first derivative of n(u). Let y(k) = 0. Calculate k.
-1, 1
Let c(f) = -20*f - 2. Let t be c(-1). Suppose -v - 6*p - t = -2*p, -2*p = -4*v + 18. Let -12*k + 0*k**2 + 16*k + 4*k**v = 0. What is k?
-1, 0
Let y be 1 - ((-10)/(-4))/(-5). Suppose -30*a = a - 62. Factor y*k**a + 3/2*k + 0.
3*k*(k + 1)/2
Let x = 10/127 + 224/381. Let k be -1*0/(1 - 0). Factor k + x*a + 2/3*a**2.
2*a*(a + 1)/3
Let g(m) be the second derivative of 5/168*m**7 + 0 + 1/24*m**6 + 5/2*m**2 + 5/6*m**3 - 25/48*m**4 - 5/16*m**5 + 29*m. Suppose g(v) = 0. Calculate v.
-2, -1, 1, 2
Suppose m = -2*q - 21, 2*m + 5*q + 0 = -45. Let r be (1/m)/(9/(-27)). Determine o, given that -r*o**3 + 0*o + 0*o**2 + 0 = 0.
0
Let h(n) be the first derivative of 0*n**2 - 2 + 0*n**3 - 5*n + 5/6*n**4 - 1/4*n**5. Let r(z) be the first derivative of h(z). Determine u, g