*r = 4*r + 125. Solve 14/9*k**2 + 10/9*k**4 + 2*k**3 + 0 + 4/9*k + 2/9*k**r = 0 for k.
-2, -1, 0
Let v(u) be the third derivative of 2*u**7/105 + u**6/30 - 4*u**5/15 - 2*u**4/3 - 8*u**2. Let v(a) = 0. Calculate a.
-2, -1, 0, 2
Let r be (-24)/30 - 368/(-360). Suppose 3*u + 2*u - 15 = 0. Factor -2/9*z**2 - r*z**4 - 4/9*z**u + 0 + 0*z.
-2*z**2*(z + 1)**2/9
Suppose -319 = 2*k - w, -k + 4*w - 112 = 51. Let u = 637/4 + k. Factor 5/4*v - 5/4*v**3 + 3/4*v**4 - u*v**2 - 1/2.
(v - 1)**2*(v + 1)*(3*v - 2)/4
Let x(u) = -u**3 + 5*u**2 - 4*u - 4. Let p be x(3). Find z such that -p*z + z**2 + 6 - 6 + 4*z = 0.
-2, 0
Suppose 4*j + k + 3*k = 16, 4*j - k = 11. Let t = -44 - -574/13. Factor -2/13 + t*g - 2/13*g**j + 2/13*g**2.
-2*(g - 1)**2*(g + 1)/13
Let k be (-4 + 18/5)*260/(-156). Factor -k*y - 1/3 - 1/3*y**2.
-(y + 1)**2/3
Factor -27/2 - 21/2*q**2 + 45/2*q + 3/2*q**3.
3*(q - 3)**2*(q - 1)/2
Let h(c) = -c**3 + 2*c**2 + c. Let v(j) = 856*j**2 + 120986*j + 5726576. Let x(f) = 2*h(f) - v(f). Solve x(b) = 0.
-142
Let u(w) be the third derivative of 2*w**7/945 - 4*w**6/135 + 13*w**5/135 - w**4/9 - 66*w**2. Factor u(i).
4*i*(i - 6)*(i - 1)**2/9
Let b be (-3)/(2/(8/(-3))). Let s be ((-4)/4 + 2)/(1/2). Factor -6*g + 3*g**3 + g**2 + b*g**2 - s*g**2.
3*g*(g - 1)*(g + 2)
Let h be 0 + 3 + (1 - -1). Let t(f) be the third derivative of -f**3 + 0*f + 1/20*f**h + 0 + 1/8*f**4 + 3*f**2. What is z in t(z) = 0?
-2, 1
Suppose -h + 5*v + 21 = 8*v, -32 = -2*h - 4*v. Let r(x) be the first derivative of 6*x**2 - 18*x + h - 2/3*x**3. Let r(d) = 0. Calculate d.
3
Let o be (-1 - 9/(-5))/((-23)/((-230)/4)). Factor -8/9*b - 10/9 + 2/9*b**o.
2*(b - 5)*(b + 1)/9
Let t(s) be the first derivative of 0*s**2 + 8 - 2/13*s**5 + 0*s + 0*s**3 + 1/13*s**4. Factor t(c).
-2*c**3*(5*c - 2)/13
Let q(g) be the first derivative of -10 + 0*g**3 + 3*g**2 + 1/120*g**5 + 1/48*g**4 + 0*g. Let b(d) be the second derivative of q(d). Factor b(s).
s*(s + 1)/2
Let z(d) = -4*d + 2*d - 46 + 38 - d**3 - 7*d**2. Let j be z(-7). Factor 0*a**5 + 5*a**4 - 2*a**3 + 5*a**3 + 3*a**5 - j*a + 4*a**4 - 9*a**2.
3*a*(a - 1)*(a + 1)**2*(a + 2)
What is x in -29*x - x**3 + 0 + 3*x**2 + 29*x - 4 = 0?
-1, 2
Let -179*x + 343*x - x**4 + 24 + 7*x**3 + 8*x**3 - 174*x - 5*x**3 - 23*x**2 = 0. Calculate x.
-1, 1, 4, 6
Let a(d) be the third derivative of -d**6/110 + 29*d**5/330 - 19*d**4/66 + 5*d**3/11 - 448*d**2. Find u such that a(u) = 0.
5/6, 1, 3
Suppose -c + 5*k = 1, 5*c + 0 = -2*k - 5. Let p be (-28)/(-396) - c/9. Factor -2/11*z + 2/11*z**3 - p*z**2 + 2/11.
2*(z - 1)**2*(z + 1)/11
Let i(g) be the first derivative of -2*g**5 - 85*g**4/4 + 70*g**3/3 + 235*g**2/2 + 90*g - 107. Solve i(j) = 0.
-9, -1, -1/2, 2
Let a = -8/119 + 326/1309. Solve -a*n**3 - 6*n**2 - 66*n - 242 = 0 for n.
-11
Let j(p) be the first derivative of -p**6/240 - p**5/20 - p**4/4 - 2*p**3/3 + 5*p**2 - 20. Let i(f) be the second derivative of j(f). Find v such that i(v) = 0.
-2
Suppose 2/9*m**2 - 152/9*m + 2888/9 = 0. Calculate m.
38
Let c(i) be the first derivative of 3/2*i**3 + 0*i + 15/8*i**4 - 3/2*i**2 - 5. Factor c(j).
3*j*(j + 1)*(5*j - 2)/2
Factor -10 - 3*w**3 + 2*w - 2428*w**2 + w**3 + 2438*w**2.
-2*(w - 5)*(w - 1)*(w + 1)
Let u(k) be the first derivative of -3*k**4/22 + 14*k**3/33 - 8*k/11 + 379. Solve u(p) = 0 for p.
-2/3, 1, 2
Let z(c) be the first derivative of 10*c**3/51 - 24*c**2/17 - 10*c/17 - 13. Factor z(q).
2*(q - 5)*(5*q + 1)/17
Let k(d) be the second derivative of -d**6/90 + d**5/6 - 17*d**4/36 - 14*d**3/9 + 578*d. Factor k(a).
-a*(a - 7)*(a - 4)*(a + 1)/3
Let y(p) = 9*p**2 + 26*p - 8. Let b(q) = 4 - 4 + 17*q - 5 + 6*q**2. Suppose 42*n - 41*n = -8. Let g(v) = n*b(v) + 5*y(v). Suppose g(z) = 0. What is z?
-2, 0
Let d(l) be the first derivative of l**5/20 + 5*l**4/4 + 25*l**3/2 - 6*l**2 + 14. Let k(m) be the second derivative of d(m). Find y such that k(y) = 0.
-5
Let l(b) be the first derivative of b**3/12 - 13*b**2/8 - 183. Find d, given that l(d) = 0.
0, 13
Let v(g) = -4*g**3 + 8*g**2 - 4*g - 16. Let t(i) = -4*i**3 + 7*i**2 - 5*i - 16. Let p(n) = -4*t(n) + 5*v(n). Find c such that p(c) = 0.
-1, 2
Let o(s) = s**2 + s - 1. Let h(q) be the third derivative of 4*q**5/15 + 5*q**4/6 - 5*q**3/3 - 13*q**2. Let d(j) = -2*h(j) + 28*o(j). What is k in d(k) = 0?
-2, -1
Let o(g) be the first derivative of -2*g**4/9 - 50*g**3/9 + 19*g**2/9 - 340. Solve o(z) = 0 for z.
-19, 0, 1/4
Suppose 8 + 2 = 5*m. Solve -a**2 + 2*a**2 + a**2 + 8*a + 2*a**m = 0.
-2, 0
Suppose -21*f + 45*f = 120. Factor 0*u**2 + 0*u + 0 + 0*u**4 + 3/2*u**f - 3/2*u**3.
3*u**3*(u - 1)*(u + 1)/2
Let a(g) = -g**4 + 1. Let q(h) = 2*h - 4. Let f be q(-1). Let x(v) = -4*v**4 - 2*v**3 + 4*v**2 + 8*v + 3. Let y(c) = f*a(c) + 2*x(c). Let y(w) = 0. Calculate w.
-2, 0, 2
Let s(p) = 2*p**2 - 42*p + 3. Let z be s(21). Find y, given that 327/8*y**z + 147/8*y**5 + 0 + 3/2*y - 189/4*y**4 - 27/2*y**2 = 0.
0, 2/7, 1
Let q(i) = i**2 + 18*i - 35. Let a be q(-20). Suppose -4*z + 3 - 15 = a*w, -9 = 3*w + 3*z. Factor -1/8*s**3 - 1/2*s + w - 1/2*s**2.
-s*(s + 2)**2/8
Let z(j) = -7*j**2 - 3*j + 2. Let o(r) be the second derivative of 0 + 5*r + 5/4*r**4 + r**3 - 3/2*r**2. Let a(x) = 4*o(x) + 9*z(x). Find p such that a(p) = 0.
-2, 1
Let j(h) = h**3 - 2*h**2 - 3*h + 4. Let l be j(3). Let k be (0 + (-6)/l)/((-6)/12). Factor -2/5*y**2 + 2/5*y**4 + 2/5*y**5 - 2/5*y**k + 0*y + 0.
2*y**2*(y - 1)*(y + 1)**2/5
Determine k, given that 0 - 2/11*k + 0*k**2 + 2/11*k**3 = 0.
-1, 0, 1
Let k = 855 - 851. Let c(s) be the third derivative of 0*s - 1/24*s**3 + 7*s**2 + 1/240*s**5 + 0 + 0*s**k. Suppose c(t) = 0. What is t?
-1, 1
Let o be 15 + -17 + 3/2*2. Let c be 3 + (3/(-6) + o - 2). Factor -c*w - 3*w**2 + 3 + 3/2*w**3.
3*(w - 2)*(w - 1)*(w + 1)/2
Let 159/2*q**2 + 375/4*q**5 + 1425/2*q**4 + 405*q**3 + 0 + 21/4*q = 0. Calculate q.
-7, -1/5, 0
Let h(f) = -6*f**4 - 21*f**3 - 19*f**2 + 46*f + 5. Let u(i) = -7*i**4 - 23*i**3 - 18*i**2 + 48*i + 6. Let t(q) = -6*h(q) + 5*u(q). Factor t(g).
g*(g - 1)*(g + 6)**2
Let z(j) = j**3 - 7*j**2 - j + 9. Suppose -4*y + 23 = -5*l + 4*l, -4*y = -5*l - 3. Let v be z(y). Factor -2 + 7*u**3 + 3*u**v - 10*u + 3*u + 3*u**4 + 4*u.
(u + 1)**3*(3*u - 2)
Let g(v) = v**2 + v + 2. Let m be g(0). Let a(o) be the first derivative of 8 - 4 + 5 - 11*o**3 + 12*o**3 - 3*o**m. What is u in a(u) = 0?
0, 2
Let m = -23 + 25. Factor 3*a**3 + a**4 - 4*a**2 + m + a**4 - 3*a**3.
2*(a - 1)**2*(a + 1)**2
Solve 0 - 117/2*w**3 + 3/2*w**5 - 21/2*w**4 - 159/2*w**2 - 33*w = 0.
-2, -1, 0, 11
Let j(g) be the first derivative of g**6/150 - g**5/50 + g**4/60 - 36*g - 4. Let y(a) be the first derivative of j(a). Factor y(k).
k**2*(k - 1)**2/5
Let d(c) = c**2 - 4*c + 12. Let g be d(2). Solve 590 - 4*o**2 + g*o**2 - 9*o - 588 = 0.
1/4, 2
Let y(i) = -i**3 + 5*i**2 - i + 3. Let j = 6 + -4. Let o be (13/26)/((-3)/(-6)). Let p(d) = -d**2 - d - 1. Let x(t) = j*p(t) + o*y(t). Factor x(k).
-(k - 1)**3
Let w(c) = 13*c + 624. Let m be w(-48). Let y(b) be the third derivative of m*b - 1/33*b**3 + 5*b**2 + 1/165*b**6 - 1/33*b**4 + 1/330*b**5 + 0. Factor y(n).
2*(n - 1)*(n + 1)*(4*n + 1)/11
Let o(p) be the first derivative of -1/2*p**4 + 0*p - 1/2*p**2 - 5 + p**3. Factor o(c).
-c*(c - 1)*(2*c - 1)
Let w(f) be the second derivative of 0 + 0*f**2 + 1/90*f**4 + 4*f + 0*f**3. Factor w(s).
2*s**2/15
Find q such that -q + 11/3*q**3 + 0 - 5/3*q**5 + 7/6*q**2 - 1/6*q**4 = 0.
-1, 0, 2/5, 3/2
Let u(q) be the second derivative of 2/45*q**5 - 2/9*q**2 - 5/27*q**3 + 4/135*q**6 - 2*q + 1/189*q**7 + 0 - 1/27*q**4. Solve u(j) = 0.
-2, -1, 1
Let a(p) be the second derivative of -2*p**6/15 + 4*p**5/5 + 4*p**4 + 136*p. Factor a(n).
-4*n**2*(n - 6)*(n + 2)
Let t(p) be the third derivative of p**5/60 + 5*p**4/8 - 8*p**3/3 + 268*p**2. Factor t(x).
(x - 1)*(x + 16)
Let o be 3 + (-7)/(-2 + 3). Let y be o/(3*-4)*3. Let 11*h - 3*h**2 - 5*h - 2 - y = 0. Calculate h.
1
Let t(x) be the third derivative of x**8/560 - 13*x**7/175 + 209*x**6/200 - 121*x**5/25 + 40*x**2 - x. Factor t(u).
3*u**2*(u - 11)**2*(u - 4)/5
Find i, given that 25/4*i**4 + 0 + 3*i + 55/4*i**3 - 14*i**2 = 0.
-3, 0, 2/5
Let l be (-19176)/1768 - (15/(-1) - -4). Factor l*t**2 - 4/13*t + 0 + 2/13*t**3.
2*t*(t - 1)*(t + 2)/13
Let p(m) be the second derivative of -3/160*m**5 + 9/16*m**2 + 5/16*m**3 - 17*m + 1 + 1/32*m**4.