cond derivative of f(k). Factor s(m).
-2*m**2*(m + 1)/21
Let r(y) = -y**3 + 26*y**2 + 9*y - 34. Let v(k) = -3*k**3 + 53*k**2 + 17*k - 67. Let o(a) = -7*r(a) + 4*v(a). Factor o(t).
-5*(t - 6)*(t - 1)*(t + 1)
Let v(j) be the third derivative of -j**8/840 + j**6/90 - j**4/12 + j**3/6 + 8*j**2. Let n(g) be the first derivative of v(g). What is a in n(a) = 0?
-1, 1
Let m(a) be the third derivative of a**7/2100 + a**6/240 - 13*a**5/600 + 7*a**4/240 + 102*a**2 + 2*a. Factor m(z).
z*(z - 1)**2*(z + 7)/10
Let c(o) = -9*o + 36. Let d be c(4). Suppose d = -2*u - 260 + 266. Find y such that 0*y + 4/3*y**2 + 0*y**u - 4/3*y**4 + 0 = 0.
-1, 0, 1
Let m be (-10)/4 - ((-17595)/50)/23. Determine k, given that 16/5*k**4 - 2/5*k**5 - 32/5*k - 48/5*k**3 + m*k**2 + 0 = 0.
0, 2
Let m be -17 - -20 - (-4)/2. Let z(q) be the third derivative of 1/3*q**3 + 5/12*q**4 - q**2 + 0 + 2/15*q**m + 0*q. Factor z(c).
2*(c + 1)*(4*c + 1)
Suppose -5*k = -2*l + 24, -3*l - 2*k = 49 - 47. Determine m, given that -2/3*m**3 - 28/9*m**l - 16/9 - 40/9*m = 0.
-2, -2/3
Factor 1/6*q**3 - 3 - 8/3*q**2 - 35/6*q.
(q - 18)*(q + 1)**2/6
Let 10*s - 14*s - 12*s**5 - 9*s**4 - 31*s**4 - 24*s**2 - 48*s**3 = 0. What is s?
-1, -1/3, 0
Let j = -1828/13 - -9231/65. Factor 2/5*n + j*n**2 + 0.
n*(7*n + 2)/5
Let i(p) be the first derivative of 0*p**2 - 1/2*p**5 + 5/36*p**6 + 0*p + 0*p**3 + 5/12*p**4 - 34. Suppose i(d) = 0. What is d?
0, 1, 2
Let s(k) be the first derivative of 4/7*k + 0*k**2 - 4/21*k**3 - 25. Find o such that s(o) = 0.
-1, 1
Let o(q) be the second derivative of 1/20*q**5 + 0 + q**2 - 1/6*q**4 + 11*q - 1/6*q**3. Find z such that o(z) = 0.
-1, 1, 2
Suppose x - 3*x - 2*h = -10, 5*h = -4*x + 22. Find u such that 6*u**4 + 12*u**2 - 7*u - 13*u**3 + 10*u**5 + 5*u**5 + x*u - 16*u**5 = 0.
0, 1, 2
Let o(s) be the third derivative of s**5/54 + s**4/108 - 2*s**3/9 - 2*s**2 + 8. Find n such that o(n) = 0.
-6/5, 1
Let q(m) = -m**3 + 9*m**2 + 21*m + 14. Let v be q(11). Let v*o**2 + 0*o**2 - 243*o + 12 - o**3 - 741 - 30*o**2 = 0. What is o?
-9
Suppose 0 = -4*f + 278 - 78. Suppose 4*n = -w + 197, -5*n + 153 = 4*w - 85. Determine l, given that -2*l**3 + n + 2*l**2 + 2*l**5 - f - 2*l**4 = 0.
-1, 0, 1
Let g be (-1)/26*-13 + 33/14. Factor 100/7*h**3 + g*h**2 - 36/7 - 12*h.
4*(h - 1)*(5*h + 3)**2/7
Let b = 458/25 + -265097/225. Let t = 1161 + b. What is a in 8/9 + 2/9*a**2 - t*a = 0?
1, 4
Let x(s) = s**2 - 2*s + 11. Let m be x(0). Factor 2*f**2 + 8 - f**5 - 16 - 12*f + m*f**3 - 4*f**3.
-(f - 2)**2*(f + 1)**2*(f + 2)
Let y(o) be the first derivative of -o**5/390 + o**4/26 + 2*o**2 - 28. Let g(w) be the second derivative of y(w). Suppose g(k) = 0. Calculate k.
0, 6
Let t = -23775/8 - -2974. Let z(x) be the first derivative of 7/4*x**3 + 65/16*x**4 + 5/4*x**5 - t*x**2 + 1/2*x + 11. Factor z(q).
(q + 1)*(q + 2)*(5*q - 1)**2/4
Let o(k) = 2*k**2 + 20*k + 50. Let z(f) = 10*f**2 + 100*f + 250. Let h(j) = 4*j - 16. Let y be h(8). Let q(a) = y*o(a) - 3*z(a). Suppose q(c) = 0. What is c?
-5
Factor 0 - 8/3*x + 2/3*x**3 - 2*x**2.
2*x*(x - 4)*(x + 1)/3
Suppose -2*y = 5*y - 21. Factor 5*f - 11*f**3 + 4*f**y - 5*f**2 + 5 + 2*f**3.
-5*(f - 1)*(f + 1)**2
Let a(x) be the second derivative of -x**5/20 - 17*x**4/12 - 21*x**3/2 + 81*x**2/2 - 2*x + 4. What is t in a(t) = 0?
-9, 1
Let x be ((-4)/14*-10)/(4/14). Solve 3 - 10 - 4*k + x + k**2 = 0 for k.
1, 3
Let g(t) be the third derivative of -t**5/60 - t**4/8 - t**3/3 - t**2 + 6*t. Factor g(x).
-(x + 1)*(x + 2)
Let k = -19 - -24. Let l = k - 5. Find z such that 2/7*z**2 - 2/7*z + l = 0.
0, 1
Let q be (-3)/(-5)*(72/8 + -7). Let o = 28 + -26. Factor q*v + 2/5*v**o + 0.
2*v*(v + 3)/5
Let o be (1 + 1)*30/12 + (-245)/63. Find b, given that 2/9*b**2 + o*b + 8/9 = 0.
-4, -1
Let n(l) be the third derivative of l**7/35 - l**6/20 + l**5/15 - l**4/6 - 6*l**2. Let c(p) = p**4 - p**3 + p**2 - p. Let g(j) = -5*c(j) + n(j). Factor g(r).
r*(r - 1)**2*(r + 1)
Let x(y) be the second derivative of -5*y**7/42 + 2*y**6/15 + 3*y**5/10 - y**4/3 - y**3/6 + y + 2. Solve x(h) = 0 for h.
-1, -1/5, 0, 1
Let j(t) be the first derivative of -t**5/8 + 25*t**4/24 - 10*t**3/3 + 5*t**2 - 10*t - 4. Let d(q) be the first derivative of j(q). Factor d(a).
-5*(a - 2)**2*(a - 1)/2
Let x(b) be the second derivative of -b**6/72 + b**5/4 - 15*b**4/8 + b**3/2 + 25*b. Let r(p) be the second derivative of x(p). Factor r(h).
-5*(h - 3)**2
Factor -33/4 + 163/8*v + 5/8*v**2.
(v + 33)*(5*v - 2)/8
Find s such that -22 - 1 + 23 - 2*s**3 + 18*s = 0.
-3, 0, 3
Let q(s) be the first derivative of s**6/144 + 7*s**5/144 - 5*s**4/24 - 7*s**3/3 + 12. Let t(o) be the third derivative of q(o). Factor t(k).
5*(k + 3)*(3*k - 2)/6
Let a = -649 + 649. Let s(k) be the third derivative of 0*k + a + 2*k**2 - 1/120*k**5 + 0*k**4 + 1/12*k**3. Solve s(j) = 0 for j.
-1, 1
Suppose -2*p = -5*c + 94, -p + 6 = -4*p. Let o = c - 13. Determine s so that 5*s**2 + 2*s**3 - 3*s**2 - 2*s - o*s**4 + 3*s**4 = 0.
-1, 0, 1
Let b(y) be the first derivative of -y**4/16 + 47*y**3/12 - 66*y**2 - 144*y + 9. Factor b(j).
-(j - 24)**2*(j + 1)/4
Find i such that 0 + 1/6*i**2 - 5*i + 1/6*i**3 = 0.
-6, 0, 5
Suppose 9*a = 6*a + 9. Factor -b**2 - 8*b**2 + 2*b**2 + 6 - a*b + 4*b**2.
-3*(b - 1)*(b + 2)
Let r be ((-36)/(-16) + -5)*240/(-88). Let y(q) be the first derivative of -r*q**2 - 4*q**3 - 11 - 3*q. Determine k, given that y(k) = 0.
-1, -1/4
Suppose 0 = -1580*p + 1590*p - 30. Let d(h) be the first derivative of 2/11*h**2 + 10 + 0*h + 2/33*h**p. Suppose d(z) = 0. Calculate z.
-2, 0
Determine y, given that 34/5 + 19/5*y + 1/5*y**2 = 0.
-17, -2
Suppose -3 = -0*r + 3*r - 3*l, -5*r + 2*l + 7 = 0. Factor r*n**3 + 10*n - 6 + n**2 - 19*n - n**2.
3*(n - 2)*(n + 1)**2
Let l(d) = -4*d + 5. Let o(j) = 12*j - 14. Let s(v) = 8*l(v) + 3*o(v). Let q be s(1). Determine i so that -q + 2*i - 1/2*i**2 = 0.
2
Let p(f) = -16931*f**2 + 1131*f - 21. Let w(y) = -16932*y**2 + 1140*y - 22. Let c(r) = -4*p(r) + 3*w(r). Factor c(b).
2*(92*b - 3)**2
Let o be 76/(-988) + (-306)/(-3640). Let f(w) be the third derivative of 0 - o*w**5 + 1/7*w**3 + w**2 + 0*w + 1/56*w**4. Find p such that f(p) = 0.
-1, 2
Let b be 56/2100*5/4. Let a(f) be the second derivative of f**2 + 1/4*f**5 + 3/4*f**4 + b*f**6 + 0 - 9*f + 7/6*f**3. Factor a(r).
(r + 1)**3*(r + 2)
Let w(u) be the first derivative of -3*u**4/20 + 4*u**3/5 - 34. Find v, given that w(v) = 0.
0, 4
Let k = -33 - -47. Let z be 42/12*8/k. Factor -15*s**2 - z + 3 - 9*s + 5.
-3*(s + 1)*(5*s - 2)
Let z(u) be the first derivative of 1/8*u**4 + 0*u - 1/6*u**3 + 0*u**2 + 12. Suppose z(n) = 0. What is n?
0, 1
Let u be 9 + -1 + (-6)/(-2) + -5. Let k(w) be the second derivative of -1/4*w**3 + u*w + 1/24*w**4 + 0 + 0*w**2. Factor k(v).
v*(v - 3)/2
Let k = 1287 - 1282. Factor 0*s + 2*s**3 - 10/7*s**4 + 2/7*s**k - 6/7*s**2 + 0.
2*s**2*(s - 3)*(s - 1)**2/7
Let m(p) be the first derivative of -1/10*p**5 - 12 + 0*p + 1/2*p**4 - 1/2*p**3 + 0*p**2. What is f in m(f) = 0?
0, 1, 3
Let n(v) be the first derivative of -36 + 2/39*v**3 + 2/13*v**2 - 6/13*v. Find m such that n(m) = 0.
-3, 1
Let a(j) be the third derivative of -3/4*j**3 + 0*j - 1/8*j**4 + 0 + 10*j**2 - 1/120*j**5. Factor a(n).
-(n + 3)**2/2
Let j(d) = 3*d**2 - 192*d + 3050. Let s(w) = w**2 - 64*w + 1016. Let c(t) = 4*j(t) - 11*s(t). Suppose c(q) = 0. Calculate q.
32
Let z(s) = -7*s**2 - 12*s - 23. Let w(d) = d**2 - 10*d - 5. Let r be w(10). Let g(v) = -v**2 - 1. Let l(n) = r*g(n) + z(n). Suppose l(y) = 0. Calculate y.
-3
Let d(m) = -m**3 + 3*m**2 + 19*m - 1. Let i be d(6). Let f(b) be the first derivative of -7 - b**2 - 1/3*b**3 + 0*b + 3/5*b**i + b**4. Solve f(z) = 0 for z.
-1, 0, 2/3
Let p(w) be the first derivative of -w**7/252 - w**6/180 + w**5/120 + w**4/72 + 16*w - 1. Let k(i) be the first derivative of p(i). Factor k(a).
-a**2*(a - 1)*(a + 1)**2/6
Let l(q) = q**3 + 5*q**2 + 4*q - 1. Let h(v) = -v**2 - v - 1. Let m be h(-2). Let s be l(m). Let -s*i**3 + 8*i**3 + i - 4*i = 0. Calculate i.
-1, 0, 1
Let f be (-18 - (-4080)/105) + -20. What is m in -48/7 + f*m**3 - 24/7*m + 36/7*m**2 - 6/7*m**4 = 0?
-2, -1, 2
Let m(n) be the second derivative of n**5/10 + 13*n**4/6 - 10*n**3 - 610*n. What is k in m(k) = 0?
-15, 0, 2
Let k(o) = -o**2 + 3*o - 3*o + 2. Let f = -122 - -131. Let h(g) = 4*g**2 + g - 9. Let q(w) = f*k(w) + 2*