 h**4 - 8 - 83*h**3 + 162*h**3 - 83*h**3 = 0.
-2, 1, 4
Let x be (106/4)/((-25)/10 - -6) - 7. Let 0 + x*h**4 + 4/7*h**3 - 16/7*h - 16/7*h**2 = 0. What is h?
-2, -1, 0, 2
Determine w, given that 0 + 22*w**3 - 36*w - 2*w**5 + 42*w**2 - 14/3*w**4 = 0.
-3, 0, 2/3, 3
Let a(h) be the third derivative of h**5/12 + 25*h**4/24 + 10*h**3/3 - h**2 + 18*h. Factor a(o).
5*(o + 1)*(o + 4)
Suppose 0 = -4*s + 3*r - 4, -4*s - 8 = -3*s + r. Let t be (s - 0) + 14 + -5. Determine b, given that 5*b + 16*b + 8*b + 3*b**2 + 48 - t*b = 0.
-4
Let q(p) be the third derivative of -p**8/3528 + 2*p**7/735 - p**6/210 - 8*p**5/315 + 5*p**4/84 + 2*p**3/7 + p**2 - p. What is x in q(x) = 0?
-1, 2, 3
Let r = 151673/19 + -7981. Determine i, given that -66/19*i**5 + 34/19*i**4 + 0 + 62/19*i**3 + 4/19*i - r*i**2 = 0.
-1, 0, 2/11, 1/3, 1
Let t = -23 + 18. Let i be (t/15 - -5) + -3. Factor -1/3*v - 4/3*v**3 + i*v**2 + 0.
-v*(v - 1)*(4*v - 1)/3
Let m(c) be the third derivative of 0 + 0*c + 10/3*c**3 - 16*c**2 + 0*c**4 - 1/12*c**5. Solve m(w) = 0 for w.
-2, 2
Suppose -326 + 326 = -13*u. Let w(y) be the third derivative of 1/21*y**4 - 8*y**2 + 0*y + 0 + 1/420*y**6 - 2/105*y**5 + u*y**3. Factor w(l).
2*l*(l - 2)**2/7
Solve 4/9*u**2 - 6*u - 28/9 = 0.
-1/2, 14
Let y(m) be the second derivative of m**6/75 - 82*m**5/25 + 3362*m**4/15 - 4*m - 5. Factor y(t).
2*t**2*(t - 82)**2/5
Let a = -35 + 37. Let m(h) be the second derivative of -1/4*h**4 + 7/20*h**5 + 0 + h**a - 1/2*h**3 + 5*h - 1/10*h**6. Factor m(x).
-(x - 1)**3*(3*x + 2)
Suppose -2*r = 16*r + 25*r + 7*r. Factor r + 0*m - 3/7*m**4 - 3/7*m**5 + 3/7*m**3 + 3/7*m**2.
-3*m**2*(m - 1)*(m + 1)**2/7
Suppose 2*i + 2 = -3*z - 1, 0 = -3*z + 5*i - 24. Let m be (-1 - (-8)/(-12))*z. Let -m*o - 11*o - 2*o**2 - 18 + 4*o = 0. What is o?
-3
Suppose 0 = -86*z + 7457 - 7199. Determine i, given that 6/11*i**z + 2/11*i**4 - 4/11 + 2/11*i**2 - 6/11*i = 0.
-2, -1, 1
Let r(p) be the third derivative of p**8/4032 + p**7/630 - p**6/180 + 7*p**5/30 - 8*p**2. Let q(s) be the third derivative of r(s). Let q(u) = 0. What is u?
-2, 2/5
Let f = -16 - -18. Let q(i) = -i**2 + 2*i. Let v be q(f). Factor 2*a**5 + 5*a**4 + 2*a**3 + 10*a**3 + 2*a + 8*a**2 + v*a**4 + 3*a**4.
2*a*(a + 1)**4
Let y = -59 - -56. Let j be -1*8/84*y. Factor -2/7*h**2 + j*h + 0.
-2*h*(h - 1)/7
Let q(i) be the second derivative of 2/3*i**3 + 0 + 26*i + 0*i**2 - 1/40*i**5 - 1/12*i**4. Solve q(j) = 0.
-4, 0, 2
Let b(x) be the first derivative of -3*x**4/8 + x**3 + 21*x**2/4 + 6*x + 29. Factor b(k).
-3*(k - 4)*(k + 1)**2/2
Suppose 4*c = 8*c - 3*x - 35, -10 = -c + x. Let 90*b**3 + 35*b**4 + 43*b**2 + 19 + 5*b**c + 65*b - 4 + 67*b**2 = 0. Calculate b.
-3, -1
Let n = -38723 - -193623/5. Factor 1/5 + 1/5*u - 2*u**2 + n*u**3.
(u - 1)*(2*u - 1)*(4*u + 1)/5
Factor -32 - 1/2*m**2 + 17*m.
-(m - 32)*(m - 2)/2
Let r(v) = -47*v - 233. Let m be r(-5). Let p(z) be the third derivative of -3/2*z**4 + 0*z + 0 + 1/5*z**5 + 7*z**m + 4/3*z**3 + 2/15*z**6. Factor p(j).
4*(j - 1)*(j + 2)*(4*j - 1)
Let h(b) be the first derivative of 12/7*b + 17 - 1/7*b**2 + 1/14*b**4 - 4/7*b**3. Solve h(x) = 0.
-1, 1, 6
Let n be (1 - -1)/(8/12). Let p be 2/6*8 + -2. Factor -4*j**2 - n*j - p - 5/3*j**3.
-(j + 1)**2*(5*j + 2)/3
Let w(b) = 2*b**3 + 11*b**2 - 23. Let l be w(-5). Find a such that 0 - 7/4*a - 1/4*a**l = 0.
-7, 0
What is p in -27/2*p + 1/8*p**4 + 0 - 15/8*p**3 + 9*p**2 = 0?
0, 3, 6
Let d(j) be the second derivative of -j**4/66 + 7*j**3/33 + 4*j**2 - 286*j. Suppose d(a) = 0. Calculate a.
-4, 11
Let j be 0 + -1 + -3 + (-6)/6. Let v be 1/j + 1 - (-26)/(-65). Solve -2/5*d**2 + 4/5*d - v = 0 for d.
1
Let t(c) be the third derivative of -c**6/840 - 17*c**5/420 - c**4/4 - 4*c**2 + 81. Find z such that t(z) = 0.
-14, -3, 0
Let z(k) be the second derivative of 2*k**2 + 1/2*k**4 - 1/3*k**6 - 26*k + 0 + 11/3*k**3 + 6/7*k**7 - 29/10*k**5. Solve z(o) = 0 for o.
-1, -1/2, -2/9, 1
Factor 1 - 1 + 20*c**3 + 19537*c**4 + 16*c**2 - 19533*c**4.
4*c**2*(c + 1)*(c + 4)
Let q(w) = 3*w**4 + 3*w**3 + 33*w**2 - 12*w - 12. Let h(f) = 11*f**2 - 3 + 2 - 10*f**2 + f**3. Let d(x) = -15*h(x) + q(x). Factor d(i).
3*(i - 1)**4
Let l = 176/255 - 2/85. Suppose t = -21*t + 6*t. Factor 0 + 0*h + t*h**2 + l*h**3 - 8/3*h**4.
-2*h**3*(4*h - 1)/3
Suppose -a = -2*k + 3*a - 46, 3*k = -3*a - 24. Let s = k + 20. Factor s*w**5 - 6*w**4 + 0*w**2 - 10*w**5 + 0*w**2.
-3*w**4*(w + 2)
Let r(u) = 5*u**4 + 85*u**3 + 210*u**2 + 5*u - 315. Let f(n) = 3*n**4 + 43*n**3 + 106*n**2 + 2*n - 158. Let j(a) = 5*f(a) - 2*r(a). Suppose j(z) = 0. What is z?
-4, -2, 1
Let t be ((-44)/10)/(((-2)/2)/35). Factor 3*v**3 + v**3 + t*v**2 - 138*v**2.
4*v**2*(v + 4)
Let o(j) = 2*j**2 + 26*j + 33. Let n(u) = 10*u**2 + 128*u + 166. Let f(y) = 3*n(y) - 16*o(y). What is q in f(q) = 0?
-15, -1
Let r be 40/(-48)*450/(-125). Factor -6/5 + 0*l**2 - 3/5*l**r + 9/5*l.
-3*(l - 1)**2*(l + 2)/5
Let o(z) be the second derivative of z**6/30 + 7*z**5/20 + 7*z**4/6 + 4*z**3/3 + 337*z. Let o(w) = 0. What is w?
-4, -2, -1, 0
Let u(g) be the second derivative of -g**5/70 + 25*g**4/2 - 4375*g**3 + 765625*g**2 - 240*g. Find i, given that u(i) = 0.
175
Let p(a) be the third derivative of -a**10/50400 + a**9/10080 - a**8/6720 - 7*a**5/30 - 7*a**2. Let s(t) be the third derivative of p(t). Factor s(z).
-3*z**2*(z - 1)**2
Factor -1/2*b**2 + 4*b - 7/2.
-(b - 7)*(b - 1)/2
Let -8 + l**2 - 293*l + 281*l - 5*l**2 = 0. Calculate l.
-2, -1
Factor 0 - 64/5*o - 8*o**2 + 4/5*o**4 + 28/5*o**3.
4*o*(o - 2)*(o + 1)*(o + 8)/5
Suppose 0 = -5*y - y + 450. Factor -y*a**2 + a**5 - 3*a**4 + a**5 + 3*a**3 - 5*a**5 + 78*a**2.
-3*a**2*(a - 1)*(a + 1)**2
Let m = -3638 - -3641. Factor 0*c**2 + 0*c**m + 2/5*c**4 + 0 + 0*c.
2*c**4/5
Suppose 0 = -5*k + 127 - 107. Let h(g) be the third derivative of 1/240*g**5 - 4*g**2 + 0 - 1/480*g**6 + 0*g**3 + 0*g + 0*g**k. Solve h(i) = 0.
0, 1
Let d(r) = -5*r**2 + 260*r + 16918. Let p(y) = 14*y**2 - 780*y - 50751. Let v(q) = 17*d(q) + 6*p(q). Factor v(b).
-(b + 130)**2
Let f = -2/89405 - -178832/983455. Solve 0 - f*g**2 - 3/11*g + 4/11*g**3 - 1/11*g**5 + 2/11*g**4 = 0 for g.
-1, 0, 1, 3
Let h(g) be the third derivative of -3*g**6/70 - 16*g**5/105 + 31*g**4/42 - 4*g**3/7 + 99*g**2. Solve h(m) = 0.
-3, 2/9, 1
Let r(v) be the second derivative of -v**8/6720 - v**7/1680 - v**3/6 - 9*v. Let d(k) be the second derivative of r(k). Solve d(g) = 0 for g.
-2, 0
Let q = 4244 - 4240. Find p, given that -12/7 - 40/7*p - 24/7*p**3 - 48/7*p**2 - 4/7*p**q = 0.
-3, -1
Let r(k) be the first derivative of -55/9*k**3 - 13 + 5/3*k**2 + 0*k + 15/4*k**4. Factor r(q).
5*q*(q - 1)*(9*q - 2)/3
Suppose -2*b = -226 + 216. Let a(v) be the third derivative of -1/6*v**3 + 0*v + 7/120*v**b + 5*v**2 + 0 + 5/48*v**4. Factor a(x).
(x + 1)*(7*x - 2)/2
Let o(i) be the third derivative of 7*i**6/540 - 89*i**5/270 + 46*i**4/27 + 20*i**3/9 - 2*i**2 + 172. Determine y, given that o(y) = 0.
-2/7, 3, 10
Let j(i) = 15*i**3 - 150*i**2 + 316*i - 36. Let r(u) = -u**3 + u**2 - u - 1. Let t(v) = -j(v) + 4*r(v). Factor t(w).
-(w - 4)**2*(19*w - 2)
Factor 0*k + 0*k**2 + 2/17*k**3 + 2/17*k**5 + 4/17*k**4 + 0.
2*k**3*(k + 1)**2/17
Let v(k) be the third derivative of -1/12*k**3 - 20*k**2 + 0*k**5 - 1/24*k**4 + 1/120*k**6 + 0 + 0*k + 1/420*k**7. Solve v(y) = 0.
-1, 1
Suppose 4*h + 5*v = -30, 52 = 2*h + v + 58. Factor h + 10/11*o + 2/11*o**2.
2*o*(o + 5)/11
Let y(t) = -10*t**3 + 10*t**2 + 60*t - 16. Let q(v) = 3*v**3 - 4*v**2 - 20*v + 5. Let x(i) = -16*q(i) - 5*y(i). Factor x(u).
2*u*(u + 2)*(u + 5)
Suppose -3580*a + 54 = -3578*a + 3*s, 4*a = 2*s + 92. Suppose -a*u + 6/7*u**2 + 168 = 0. What is u?
14
Suppose 50/3*k - 6*k**2 + 4 = 0. What is k?
-2/9, 3
Let v(f) = 21*f**5 - 231*f**4 + 732*f**3 - 1062*f**2 - 27. Let d(b) = 3*b**5 - 33*b**4 + 104*b**3 - 152*b**2 - 4. Let h(n) = -27*d(n) + 4*v(n). Factor h(q).
3*q**2*(q - 4)**2*(q - 3)
Let o be ((-36)/(-30))/(((-182)/35)/(-13)). Factor -1/2*f**4 + f**2 - 1/2*f**5 - 1/2 + f**o - 1/2*f.
-(f - 1)**2*(f + 1)**3/2
Let r(x) be the third derivative of 7/6*x**4 + 0 + 0*x + 4/5*x**6 + 4/21*x**7 + 0*x**3 + 1/84*x**8 + 22/15*x**5 + 10*x**2. Solve r(b) = 0.
-7, -1, 0
Let x(a) be the third derivative of -a**6/60 - 7*a**5/60 + 5*a**4/8 + 68*a**2. Factor x(u).
-u*(u + 5)*(2*u - 3)
Let m = -2793 - -22347/8. Factor -1/8*z**2 - 1/4 - m*z.
-(