Let v + 8/9*m + 490/9*m**4 + 42*m**3 + 32/3*m**2 = 0. Calculate m.
-2/7, -1/5, 0
Let s be (45/18)/(10/8). Determine m so that 34*m**2 - 25*m**2 - 5*m**s = 0.
0
Let t be 2*(6 + -7)/(-18). Let 2/9*g**2 - t*g + 0 = 0. Calculate g.
0, 1/2
Let y = 58 - 54. Suppose x - 5*x + y*h = 20, -10 = -2*x - 2*h. Suppose 0 + x*c - 1/3*c**2 = 0. Calculate c.
0
Let b(i) be the second derivative of -1 - 3/2*i**2 + 19*i - 1/35*i**7 + 3/10*i**5 + 1/50*i**6 + 1/5*i**4 - 4/5*i**3. Find m, given that b(m) = 0.
-1, 1, 5/2
Let o(v) = -3*v**2 + 15*v + 4. Let m be o(5). Let r(u) be the first derivative of 0*u**2 + 1 + 1/6*u**m - 1/18*u**6 + 0*u**3 - 1/15*u**5 + 0*u. Factor r(s).
-s**3*(s - 1)*(s + 2)/3
Let l(b) = b**2 + 1. Let r(v) = -v**3 - v - 2. Let g(j) = -4*l(j) - 2*r(j). Let a be g(2). Factor a*w**2 - w + w**3 + 4 - 3*w**2 - 5.
(w - 1)*(w + 1)**2
Let q be ((-10)/(-125))/(60/75). Let b(n) be the second derivative of -5*n + 1/33*n**4 + 0*n**2 - 4/55*n**6 + 0 - 1/33*n**3 + q*n**5. Let b(j) = 0. What is j?
-1/3, 0, 1/4, 1
Let u = -4/435 + 302/1305. What is d in 0*d + 0 + 0*d**2 - u*d**3 = 0?
0
Let u be (30/(-25))/(0 + 6/(-20)). Factor 12*j**3 - u*j**2 - 18*j**4 + 4*j**5 - 23*j**4 + 29*j**4.
4*j**2*(j - 1)**3
Let s(o) be the second derivative of 6*o**2 + 0 - 2/5*o**5 - 8*o - 7/3*o**4 - 4/3*o**3. Factor s(y).
-4*(y + 1)*(y + 3)*(2*y - 1)
Let h be 3 - (-412)/(-12) - (-3)/9. Let f = h + 34. Let 3/2 - 3/2*m**f - 9/2*m + 9/2*m**2 = 0. Calculate m.
1
Let z(b) be the third derivative of b**6/200 - b**5/50 - 19*b**4/40 + 2*b**3 + 22*b**2 - 3*b. Factor z(x).
3*(x - 5)*(x - 1)*(x + 4)/5
Let w(c) be the second derivative of -c**5/110 + 7*c**4/66 + 28*c**3/33 + 20*c**2/11 + 102*c. Find v, given that w(v) = 0.
-2, -1, 10
Let w = 9/85 - -143/255. Find o such that 2/9 + 2/3*o + 2/9*o**3 + w*o**2 = 0.
-1
Let f(m) = 10*m**2 - 9*m + 29. Let s(v) = v**2 + 1. Let d(n) = -4*f(n) + 36*s(n). Suppose d(t) = 0. What is t?
4, 5
Let a(r) = 4*r**2 + 4*r - 48. Let o(q) = -4*q**2 - 4*q + 48. Let y(j) = -3*a(j) - 4*o(j). Factor y(m).
4*(m - 3)*(m + 4)
Let l(n) = n + 2. Let q be l(2). Determine m, given that 1 - 9 + q*m**2 - 2 - 5*m**2 - 7*m = 0.
-5, -2
Let r be 0*(-4 + 28/8). Suppose -h - a - 3 = r, 0 = h - 2*a - 3 - 9. Determine t so that -12*t**h + 0*t**3 + 3*t**3 + 12*t + t**3 - t**3 = 0.
0, 2
Let v(j) be the first derivative of j**4/32 + 13*j**3/24 - 3*j**2 - 517. Suppose v(y) = 0. What is y?
-16, 0, 3
Let n = -13 + 12. Let r(g) = g**2 - g - 1. Let c(v) = 5*v**2 + 20*v - 5. Let d(u) = n*c(u) - 5*r(u). Factor d(z).
-5*(z + 2)*(2*z - 1)
Let m(r) be the first derivative of -r**6/21 - 4*r**5/35 + 11*r**4/14 + 8*r**3/7 - 36*r**2/7 - 108. Find v such that m(v) = 0.
-3, 0, 2
Let h(r) be the second derivative of -3*r**2 + 0 + 11*r - 1/4*r**4 + 3/2*r**3. Let h(o) = 0. Calculate o.
1, 2
Let g = 198 + -369/2. Let q = -1226 - -1232. What is l in 24*l + q - g*l**2 = 0?
-2/9, 2
Let m = 14 - -4. Let d be (-1)/(-2*3/m). Factor p**4 - 15*p**2 - 6*p**3 - 6*p + 5*p**4 - d*p**3 - 3*p**4 + 3*p**5.
3*p*(p - 2)*(p + 1)**3
Let i = 1290 + -9022/7. Suppose 2/7*z**3 - i - 8/7*z + 2/7*z**2 = 0. What is z?
-2, -1, 2
Suppose 14*s = 12*s - 10, -5*w = -2*s - 25. Determine h, given that 0 - 8/11*h**4 + 0*h + 10/11*h**w + 2/11*h**5 - 4/11*h**2 = 0.
0, 1, 2
Let t(l) = l**2 + 3*l. Let g(p) = 3 + 23*p**2 - 4 - 18*p - 30*p**2. Let y(m) = -6*g(m) - 39*t(m). Determine s, given that y(s) = 0.
1, 2
Let v be (-78)/42 + 7/(42/18). Factor 2/7*g - v - 2/7*g**3 + 8/7*g**2.
-2*(g - 4)*(g - 1)*(g + 1)/7
Suppose -236 = -5*k - 61. Suppose 5*o + 5*q = k, -q - q = -3*o - 4. Factor 2*i + 0*i**4 + 2*i**2 - 4*i**4 + 2*i**2 - o*i**5.
-2*i*(i - 1)*(i + 1)**3
Let r(o) = o**4 - 30*o**3 - 71*o**2 - 54*o - 20. Let v(c) = 15*c**4 - 420*c**3 - 995*c**2 - 755*c - 280. Let u(d) = -85*r(d) + 6*v(d). Factor u(a).
5*(a + 1)**2*(a + 2)**2
Let f(p) = -p - 1. Let g(o) = -8*o**3 - 5*o - 5. Let w(q) = -5*f(q) - g(q). Let b(v) = v**3 + v + 1. Let r(j) = 20*b(j) - 2*w(j). Factor r(k).
4*k**3
Solve 51 - 49 - 57*g**3 - 29*g - 113*g**3 + 155*g**2 - 29*g**2 + 71*g = 0.
-1/5, -1/17, 1
Let n(t) be the third derivative of -t**7/70 - 7*t**6/40 - 9*t**5/10 - 5*t**4/2 - 4*t**3 - 57*t**2. Solve n(i) = 0 for i.
-2, -1
Let a(q) = -18*q**4 + 99*q**3 - 99*q**2 - 144*q + 6. Let n(c) = -53*c**4 + 297*c**3 - 295*c**2 - 429*c + 17. Let l(f) = 17*a(f) - 6*n(f). Solve l(i) = 0.
-3/4, 0, 2, 7
Suppose 0*y - y + 9 = 0. Let p be 54/12*1/(3/4). Factor -p*w + w**2 + 2*w**2 - 2*w**2 + y.
(w - 3)**2
Let b(s) = -20*s**2 - 72*s - 60. Let m(a) be the first derivative of 13*a**3/3 + 24*a**2 + 40*a - 16. Let d(f) = -5*b(f) - 8*m(f). Factor d(n).
-4*(n + 1)*(n + 5)
Let q(k) be the second derivative of -k**4/54 - 17*k**3/27 - 10*k**2/3 + 424*k. What is o in q(o) = 0?
-15, -2
Let i be (2 - (-24)/28)*14/4. Solve -20*c + 5*c**2 - i + 14*c + 11*c = 0.
-2, 1
Let p be 15/7*(-172)/(-215). Factor -p + 4/7*j**2 + 8/7*j.
4*(j - 1)*(j + 3)/7
Let h = -141 - -143. Suppose -2*r = -h*w + 2, -r + 8 = -3*r + 4*w. What is y in 0 + 0*y - 2*y**3 - 2/3*y**r - 2*y**4 - 2/3*y**5 = 0?
-1, 0
Let v(u) = 5*u + 54. Let t be v(-10). Let f(i) be the second derivative of 0 + 6*i + 16*i**2 + 1/6*i**t + 8/3*i**3. Factor f(b).
2*(b + 4)**2
Let d(a) be the second derivative of -1/5*a**3 - 1/20*a**4 + 0 + 9/10*a**2 - 10*a. Let d(g) = 0. What is g?
-3, 1
Let 4/3*v**2 + 2/9*v**3 + 16/9 + 8/3*v = 0. Calculate v.
-2
Let q(a) = 28 + 2*a - 4*a + 0*a**2 + a**2 - 9*a. Let h be q(4). Factor 4/11*v - 6/11*v**2 + 2/11*v**3 + h.
2*v*(v - 2)*(v - 1)/11
Let q(f) be the third derivative of f**6/24 - 23*f**5/4 + 225*f**4/8 - 335*f**3/6 - f**2 + 13*f. Factor q(r).
5*(r - 67)*(r - 1)**2
Let f(c) be the third derivative of c**7/210 - c**6/60 + c**4/12 - c**3/6 + 41*c**2. Factor f(i).
(i - 1)**3*(i + 1)
Let o(x) = -x**3 - 10*x**2 - 7. Let d be o(-10). Let v be 231/(-49) + (-2 - d). Factor -v*n**5 + 0*n + 2/7*n**3 + 0 + 0*n**4 + 0*n**2.
-2*n**3*(n - 1)*(n + 1)/7
Factor 4*c + 3*c**2 + 61*c - 41*c + 45.
3*(c + 3)*(c + 5)
Let m = -12849 + 192737/15. Determine n, given that -2/5*n + 4/15*n**3 + 2/15 - 2/5*n**4 + m*n**5 + 4/15*n**2 = 0.
-1, 1
Let m(s) be the first derivative of -s**7/4200 - s**6/600 - s**5/300 - 8*s**3/3 + 16. Let a(z) be the third derivative of m(z). Find d such that a(d) = 0.
-2, -1, 0
Let t(c) be the second derivative of 0*c**2 - 24*c + 5/72*c**4 - 1/18*c**3 + 1/40*c**5 + 0. Factor t(w).
w*(w + 2)*(3*w - 1)/6
Let f(t) = -t**2. Let m(j) = -2*j**2 - 40*j - 400. Let d(q) = -f(q) + m(q). Factor d(y).
-(y + 20)**2
Let p be (-62)/(-465) + 92/210. Let w(q) be the first derivative of 2 + 0*q**2 - 1/21*q**3 + p*q. What is j in w(j) = 0?
-2, 2
Suppose -80*c + 2/3*c**2 + 2400 = 0. Calculate c.
60
Let l(q) = -3*q**3 + q**2 + q. Let m(i) = 9*i**3 + 19*i**2 - 26*i. Let h(s) = -2*l(s) - m(s). Determine k, given that h(k) = 0.
-8, 0, 1
Let o(h) be the second derivative of -5/3*h**3 - 3/10*h**5 - 3/2*h**2 + 6*h + 0 - h**4 - 1/30*h**6. Determine d so that o(d) = 0.
-3, -1
Let f(h) = 5*h**2 + h - 7. Let a(j) = -6*j**2 - 2*j + 8. Let b(s) = -s + 6. Let c be b(0). Suppose 6*p + c = 4*p. Let v(m) = p*a(m) - 4*f(m). Factor v(o).
-2*(o - 2)*(o + 1)
Suppose -22 = 11*d + 22. Let t be d/30 + 160/75. Factor -1/2*v**4 - 1/2*v**3 + 0*v + v**t + 0.
-v**2*(v - 1)*(v + 2)/2
Let u(p) be the second derivative of 4*p**7/27 - 41*p**6/135 - 28*p**5/45 + 37*p**4/54 + 28*p**3/27 + 4*p**2/9 + 35*p - 2. Solve u(c) = 0 for c.
-1, -2/7, -1/4, 1, 2
Let t(f) be the second derivative of -19*f + 5/48*f**4 + 45/8*f**2 + 0 + 5/4*f**3. Factor t(a).
5*(a + 3)**2/4
Let s = -61 - -63. Let q(a) = 2*a**4 - 10*a**3 + a**2 + 5*a - 3. Let d(p) = -p**4 + 5*p**3 - p**2 - 3*p + 2. Let m(j) = s*q(j) + 5*d(j). Factor m(k).
-(k - 4)*(k - 1)**2*(k + 1)
Let m(y) be the third derivative of -1/14*y**7 + 1/24*y**6 + 0*y**3 + 5/336*y**8 - 5/12*y**4 + 0 + 17*y**2 + 0*y + 1/4*y**5. Factor m(j).
5*j*(j - 2)*(j - 1)**2*(j + 1)
Let k = -151 - -155. Let f(x) = -4*x**2 + 17*x - 4. Let j be f(k). Factor j*w + 0*w**2 - 1/3*w**5 + 1/3*w**4 + 0*w**3 + 0.
-w**4*(w - 1)/3
Solve -3/2*s**2 - 30*s + 63/2 = 0 for s.
-21, 1
Suppose z - 2*t = -1 - 9, -3*t = 2*z - 1. Let q be (-2)/(-2) - 4/z. Factor -7*g**2 - 3*g + 4*g**q - g**2 + 2*g.
-g*(4*g + 1)
Suppose 0 = 5*j - 1171 + 1161. Factor -2/5*b**j - 2/5 - 4/5*b.
-2*(b + 1)**2/5
Let v(