 2/15*m**5 = 0. Calculate m.
-2, 0, 1
Let t(p) be the second derivative of -8*p**5/5 - 25*p**4 + 106*p**3/3 + 60*p**2 + 794*p. Determine j, given that t(j) = 0.
-10, -3/8, 1
Let i(x) be the third derivative of 1/120*x**6 + 0*x - 6*x**2 + 0*x**3 + 0 - 1/30*x**5 + 1/24*x**4. Let i(d) = 0. Calculate d.
0, 1
Let h(z) be the second derivative of -25/4*z**2 - 5/6*z**3 + 0 - 17*z - 1/24*z**4. Suppose h(v) = 0. Calculate v.
-5
Let u(d) = -d - 9. Let a be u(-12). Suppose 0 = -a*h + h. Determine o, given that h - 6/7*o**2 - 2/7*o = 0.
-1/3, 0
Let y(t) be the second derivative of -t**4/42 + 2*t**3/7 - 8*t**2/7 + 17*t. Factor y(v).
-2*(v - 4)*(v - 2)/7
Let i = 11879/2638 + -4/1319. Factor i - 6*w + 3/2*w**2.
3*(w - 3)*(w - 1)/2
Let y(o) be the third derivative of 0*o**3 + 7/312*o**8 + 0*o + 0 + 1/65*o**7 + 0*o**4 + 2/195*o**5 - 2/65*o**6 + 24*o**2. Factor y(b).
2*b**2*(b + 1)*(7*b - 2)**2/13
Let i be (-1)/(-9) + 6/27. Suppose -2*n = 6, -5*n = -2*m + 142 - 123. What is f in -2/3*f - i - 1/3*f**m = 0?
-1
Determine j so that -50/23 - 20/23*j - 2/23*j**2 = 0.
-5
Determine h so that 34*h**2 + 32*h + 19 - 11*h**2 + 1 - 20*h**2 = 0.
-10, -2/3
Let m(t) be the second derivative of 7*t**4/24 + 43*t**3/6 + 6*t**2 - 5*t - 2. Factor m(d).
(d + 12)*(7*d + 2)/2
Suppose 2*g - 55 = -9*g. Factor -10*f**2 - 13*f**2 + g*f + 3*f**2.
-5*f*(4*f - 1)
Let m(w) = -3*w**3 + 11*w**2 - 5*w - 5. Let l(g) be the first derivative of 3/4*g**4 + 2*g**2 + 4*g - 10/3*g**3 - 6. Let o(r) = -5*l(r) - 4*m(r). Factor o(f).
-3*f**2*(f - 2)
Suppose -11 - 14 = -5*s + 2*h, 0 = -4*s - 5*h - 13. Suppose -2/5*m - 6/5*m**s - 2/5*m**4 - 6/5*m**2 + 0 = 0. What is m?
-1, 0
Suppose 5*x - 39 = -2*j, 9 = 8*j - 6*j - 5*x. Let g be ((-3)/6)/((-21)/j). Factor -18/7*y - 32/7*y**3 + 48/7*y**2 + g.
-2*(y - 1)*(4*y - 1)**2/7
Let z(t) be the first derivative of -48 - 12*t**2 + 4/3*t**3 + 36*t. Factor z(w).
4*(w - 3)**2
Let o = 35 - 36. Let h(w) = 4*w**2 + 3*w + 4. Let r be h(o). What is a in 7/4*a**r - 9/4*a**3 + 5/4*a**4 + 1/2*a - 5/4*a**2 + 0 = 0?
-1, 0, 2/7, 1
Let i(p) be the first derivative of -56*p**6/3 + 396*p**5/5 - 103*p**4 + 48*p**3 - 8*p**2 + 32. Suppose i(x) = 0. What is x?
0, 1/4, 2/7, 1, 2
Let c(b) be the third derivative of b**7/840 - b**6/160 + b**5/120 - 167*b**2. Factor c(v).
v**2*(v - 2)*(v - 1)/4
Let i(s) be the third derivative of s**8/3360 + s**7/420 + s**6/120 + s**5/60 - 31*s**4/24 + 28*s**2. Let g(o) be the second derivative of i(o). Factor g(f).
2*(f + 1)**3
Let p = 19 - 1. Let j = p - 16. Suppose 0*i**3 + 0*i + 2/5*i**4 - 4/5*i**j + 2/5 = 0. Calculate i.
-1, 1
Let a = 42021/8 - 5252. Solve 0 + 1/2*c + 1/8*c**3 + a*c**2 = 0 for c.
-4, -1, 0
Let d(m) be the second derivative of -m**6/1260 + m**4/84 - 5*m**3/3 - 10*m. Let o(u) be the second derivative of d(u). Factor o(v).
-2*(v - 1)*(v + 1)/7
Let q(g) be the first derivative of g**4/4 + 5*g**3/6 + g**2 + g/2 + 132. Find z such that q(z) = 0.
-1, -1/2
Let f = 1583/4140 - 26/69. Let z(k) be the third derivative of k**2 + 0*k**4 + 0*k**5 + 0 + 0*k**3 - 1/315*k**7 + 0*k + f*k**6. Determine o so that z(o) = 0.
0, 1
Let h = -172 - -337. What is z in -92*z - 39*z**3 + h*z - 105*z**2 + 74*z - 6*z**4 + 3*z**4 = 0?
-7, 0, 1
Suppose 0 = -3*z + 489. Let p = z - 1139/7. Factor -2/7*k**2 + 2/7*k**5 - 2/7*k**3 + 0*k + p*k**4 + 0.
2*k**2*(k - 1)*(k + 1)**2/7
Let j = -43 - -7. Let y be 1 + 0 + j/45. What is b in 1/5*b**2 + y*b - 2/5 = 0?
-2, 1
Let i(r) = -r**2 + r - 1. Suppose -5 = b + 2*o, -2*b - 2*o - 11 = b. Let p(k) = 8*k**3 - 9*k**2 - 15*k - 7. Let d(l) = b*i(l) + p(l). Let d(z) = 0. What is z?
-1, -1/4, 2
Let k(d) be the second derivative of 5*d**7/42 + 5*d**6/6 - 7*d**5/4 - 25*d**4/12 + 5*d**3 + 5*d + 28. Factor k(j).
5*j*(j - 1)**2*(j + 1)*(j + 6)
Let y(i) be the first derivative of -1/3*i**4 - 2/3*i + 1/9*i**6 - 2/15*i**5 + 1/3*i**2 - 18 + 4/9*i**3. Factor y(g).
2*(g - 1)**3*(g + 1)**2/3
Let m(s) = s**3 - 4*s + 3. Let d be m(2). Factor d*z**3 + 25*z - 3*z**2 - 16*z - 9*z**2.
3*z*(z - 3)*(z - 1)
Suppose 40 = -103*h + 123*h - 0. Factor -2/7*r**h - 2/7*r + 4/7.
-2*(r - 1)*(r + 2)/7
Let s(a) be the second derivative of -a**7/252 - 11*a**6/180 + 11*a**5/24 - 73*a**4/72 + 5*a**3/6 + 388*a. Find w, given that s(w) = 0.
-15, 0, 1, 2
Let d(a) = 11*a - 24. Let p(r) = -5*r + 12. Let b(f) = -2*d(f) - 5*p(f). Let h be b(5). Find i such that -2*i + h + 1/3*i**2 = 0.
3
Suppose 2*a + 89 - 97 = 0, -2*k + 2*a = 8. Let r(u) be the first derivative of 0*u**4 + k*u - 1/6*u**3 + 0*u**2 - 10 + 1/10*u**5. Factor r(c).
c**2*(c - 1)*(c + 1)/2
Let c = -345 - -691/2. Let o(f) be the second derivative of 6*f + 0*f**2 - 2/3*f**3 + 1/21*f**7 + 1/10*f**5 + 0 + c*f**4 - 1/5*f**6. Let o(k) = 0. What is k?
-1, 0, 1, 2
Let a(p) be the third derivative of 6*p**2 + 5/18*p**4 + 1/90*p**5 + 0 + 0*p + 25/9*p**3. Determine n, given that a(n) = 0.
-5
Let d(g) = g**2 + 7*g + 14. Suppose -4*c - 13*t + 11*t = 4, -4*c = 3*t. Let p be d(c). Factor 1/9*b**5 - 7/9*b + 2/9 + 8/9*b**p - 2/9*b**4 - 2/9*b**3.
(b - 1)**4*(b + 2)/9
Let q(s) = -s**3 - 15*s**2 + 2*s + 35. Let v be q(-15). Solve -60*g**5 + 29*g**5 + g**4 + 5*g**3 + 108 + 4*g**4 + 30*g**v - 45*g**2 = 0 for g.
-2, 3
Let b(q) = 6*q**2 - 17*q + 11. Let h be (2/6)/((-6)/(-108)). Let a(m) = -2 + 6*m - 2 + 0 + 0 - 2*m**2. Let k(x) = h*b(x) + 17*a(x). Factor k(j).
2*(j - 1)*(j + 1)
Factor -16*c**2 + 0*c**3 + 1152 - 259*c + 59*c + 4*c**3 - 40*c.
4*(c - 6)**2*(c + 8)
Let f be ((-27)/6)/((-12)/40). Suppose 0 = -2*z + 2*g, 6*z - 2*z - f = -g. Factor -1/8*o**4 - 1/2*o + 1/2*o**z - 3/8*o**2 + 1/2.
-(o - 2)**2*(o - 1)*(o + 1)/8
Let y(r) = 3*r + 9. Let a(w) = -13 - w**2 - 41*w + 39*w + 3. Let k(d) = 5*a(d) + 6*y(d). Determine z so that k(z) = 0.
-2/5, 2
Let u(h) be the third derivative of h**7/420 - h**6/30 + 3*h**5/20 - h**4/3 + 5*h**3/2 + 11*h**2. Let l(n) be the first derivative of u(n). Factor l(m).
2*(m - 4)*(m - 1)**2
Suppose 5*r + 2*c - 21 = 0, 3*c - 5*c + 3 = -r. Suppose 4*q + 9*q**4 - 8*q**3 + 5*q**5 + 6*q - 7*q**r - 5*q**2 - 4*q**4 = 0. What is q?
-2, -1, 0, 1
Find d, given that -4/7*d + 0 + 6/7*d**2 + 2/7*d**3 - 6/7*d**4 + 2/7*d**5 = 0.
-1, 0, 1, 2
Factor 2*p - 16 + 2*p + 98*p**2 - 78*p**2.
4*(p + 1)*(5*p - 4)
Let h(u) = -u - 4. Let v(g) = -5*g**2 - 137*g + 157. Let f(q) = -3*h(q) - v(q). Let f(o) = 0. What is o?
-29, 1
Let j(i) = 180*i**2 + 420*i + 350. Let m(d) = 13*d**2 + 30*d + 25. Let n(u) = 4*j(u) - 55*m(u). Determine w, given that n(w) = 0.
-5, -1
Let i(a) = -20*a**4 - 176*a**3 - 168*a**2 + 176*a + 156. Let b(n) = 3*n**4 + 27*n**3 + 26*n**2 - 27*n - 24. Let t(f) = 32*b(f) + 5*i(f). Factor t(l).
-4*(l - 1)*(l + 1)**2*(l + 3)
Let m = 2346/5 + -469. Let i(d) be the second derivative of 1/21*d**7 + 2*d**2 - m*d**5 - 2/3*d**4 + 0 + 2/15*d**6 - 5*d + 1/3*d**3. Let i(z) = 0. What is z?
-2, -1, 1
Let n(r) = -2*r**2 - 37*r - 166. Let t be n(-10). Let s(k) be the first derivative of -7 - 1/24*k**t + 1/6*k**2 + 0*k - 1/18*k**3. Factor s(h).
-h*(h - 1)*(h + 2)/6
Let t be -3*((-30)/9 + 2). Solve -3*w + w**2 - t*w + 3 + 3*w + 1 = 0 for w.
2
Suppose 2*k + 8 = 6. Let t be 2/(1 - k) - -10. Let 5*c**4 - 12*c**3 + 15*c**4 - 3 + 12*c - 6*c**2 - t*c**4 = 0. Calculate c.
-1, 1/3, 1
Let b = -23 + 25. Suppose 0 = b*i - 0*i - 22. Determine y, given that 5*y**3 - i*y**3 - 2*y + 2*y**3 - 4*y**2 + 2*y**3 = 0.
-1, 0
Let g(r) be the second derivative of 4/3*r**3 + 0*r**2 - 1/360*r**5 - 5*r - 1/1080*r**6 + 1/36*r**4 + 0. Let z(d) be the second derivative of g(d). Factor z(c).
-(c - 1)*(c + 2)/3
Factor 126/11 - 2/11*v**3 + 26/11*v**2 - 102/11*v.
-2*(v - 7)*(v - 3)**2/11
Let i(w) be the first derivative of 4*w**5/15 - 2*w**4/3 + 2*w**3/3 - 7*w**2 - 14. Let u(v) be the second derivative of i(v). Determine q so that u(q) = 0.
1/2
Let u(i) be the first derivative of i**3/3 - 9*i + 134. Factor u(v).
(v - 3)*(v + 3)
Suppose -8 = -4*g + 2*h, -41*g + 6 = -38*g - 4*h. Determine f, given that 1/4*f**3 + 0 + 1/2*f + 3/4*f**g = 0.
-2, -1, 0
Let o be (-41)/(902/(-198)) - 7/3. Factor 92/9*m**2 + 2 + 2*m**4 + 2/9*m**5 + o*m**3 + 22/3*m.
2*(m + 1)**3*(m + 3)**2/9
Let k(x) = 14*x + 76. Let h be k(-6). Let p be (-6)/h + 1/(-4). Solve 2 + 3*m**2 + p*m**3 + 9/2*m = 0 for m.
-4, -1
Suppose 7*j = -4*j. Let p(h) be the first derivative of -1/2*h**4 + 0*h**2 + 5 - 2/15*h**5 + j*h - 4/9*h**