hat 2/3*m - 1/3 - q*m**2 = 0.
1
Let n(v) = 10*v**3 + 10*v**2 + 4*v - 10. Let z = 7 + -9. Let m(u) = -3*u**3 - 3*u**2 - u + 3. Let g be 1/1 - (1 + 7). Let c(i) = g*m(i) + z*n(i). Factor c(o).
(o - 1)*(o + 1)**2
Let b(w) be the third derivative of 3/2*w**3 - 1/20*w**5 - 5*w**2 + 1/4*w**4 + 0 + 0*w. What is s in b(s) = 0?
-1, 3
What is h in 3/2*h + 15/4*h**2 - 9/4 = 0?
-1, 3/5
Factor -1/5*i**3 + 0 + 1/5*i**4 + 0*i**2 + 0*i.
i**3*(i - 1)/5
Let p(f) be the third derivative of f**6/600 - f**4/40 + f**3/15 + 3*f**2. Factor p(r).
(r - 1)**2*(r + 2)/5
Let x(h) = -h**2 - 5*h - 6. Let u be x(-3). Factor -2/7*p**4 + u*p**2 - 2/7*p**3 + 0 + 0*p.
-2*p**3*(p + 1)/7
Suppose 0 = -2*c + 4*b - 8, -c + 11 = 2*b + b. Let d(a) be the second derivative of -c*a**2 + 0 - 1/20*a**5 + 2*a - 4/3*a**3 - 5/12*a**4. Solve d(o) = 0.
-2, -1
Let u(m) be the first derivative of m**8/840 + m**7/210 + m**6/180 + m**3 - 6. Let a(w) be the third derivative of u(w). Factor a(t).
2*t**2*(t + 1)**2
Let i be (12/16)/(27/(-48)*-2). Solve -1/3*m**2 - i - m = 0 for m.
-2, -1
Let w(f) be the first derivative of 0*f + 0*f**2 + 1/14*f**4 - 3 + 2/21*f**3. Factor w(s).
2*s**2*(s + 1)/7
Let r = -67/7 - -75/7. Let t = 207 + -1437/7. Suppose -t*h**2 - 8/7*h - r*h**3 - 2/7*h**4 - 2/7 = 0. What is h?
-1
Let 72/5 - 24/5*m + 2/5*m**2 = 0. Calculate m.
6
Let w(d) = -9*d - 4. Let h be w(-3). Suppose -5*l + 15 = s, l + 0 = 5*s - h. Find k such that -4*k**l - k**3 + 2*k**2 + 3*k**2 - k**4 + k = 0.
-1, 0, 1
Let g = -2/45 + 104/315. Let a = 3058/7 + -436. Let 4/7*v**5 + 0 - g*v - 2/7*v**3 + a*v**2 - 6/7*v**4 = 0. Calculate v.
-1, 0, 1/2, 1
Let i be -1 + 4 - 22/(-15)*-2. Let g(u) be the second derivative of 4*u - 1/15*u**6 + 1/18*u**4 + 0 + i*u**5 + 0*u**3 + 0*u**2. Find x such that g(x) = 0.
-1/3, 0, 1
Let j(l) be the first derivative of -l**7/105 - l**6/10 - 13*l**5/30 - l**4 - 4*l**3/3 - 3*l**2 + 6. Let g(f) be the second derivative of j(f). Factor g(s).
-2*(s + 1)**2*(s + 2)**2
What is a in 5*a**2 - 9*a**3 + 3 - 7*a**3 - 2*a**3 + 19*a**3 + 7*a = 0?
-3, -1
Let f be (-1)/(-5) + 0 + 18/210. Factor 0 + 0*g + 2/7*g**3 + 0*g**2 + f*g**5 + 4/7*g**4.
2*g**3*(g + 1)**2/7
Solve -7*t + 25 + 24*t - 7*t + t**2 = 0.
-5
Let x(m) be the first derivative of 2/3*m**3 + 1/2*m**2 - 3 - m + 1/6*m**6 - 1/2*m**4 - 1/5*m**5. Solve x(a) = 0.
-1, 1
Determine k, given that 8*k - 83*k**3 + 10*k**2 - 60*k**4 + 9*k**3 + 23*k + k + 8 = 0.
-1, -1/2, -2/5, 2/3
Let t(k) be the first derivative of k**6/15 - k**5/5 + k**4/6 + k + 3. Let g(o) be the first derivative of t(o). Find l, given that g(l) = 0.
0, 1
Let b(d) be the first derivative of -d**4/4 - 2*d**3 - 3*d**2 + 2. Let t be b(-5). Solve 4*u**t + 12*u**4 + u**2 - 2*u**4 - 2*u - 3*u**2 + 6*u**3 = 0.
-1, 0, 1/2
Let v = -228 - -1598/7. Suppose 2/7*n**3 + v + 6/7*n + 6/7*n**2 = 0. Calculate n.
-1
Let t(b) be the third derivative of -b**6/1020 + 7*b**5/255 - 49*b**4/204 - 3*b**2. Factor t(o).
-2*o*(o - 7)**2/17
Let k(u) = 6*u**4 + 35*u**3 + 7*u**2 + 11*u. Let z(y) = 3*y**4 + 18*y**3 + 3*y**2 + 6*y. Let v(t) = 6*k(t) - 11*z(t). Factor v(n).
3*n**2*(n + 1)*(n + 3)
Let d(k) be the third derivative of k**9/4320 - k**8/5040 + k**5/20 + 2*k**2. Let l(v) be the third derivative of d(v). Suppose l(u) = 0. Calculate u.
0, 2/7
Factor -2/11*j**4 + 4/11*j**3 - 2/11*j**2 + 0*j + 0.
-2*j**2*(j - 1)**2/11
Let j(n) = -15*n**2 - 60*n - 60. Let c(s) = 10*s**2 + 40*s + 40. Let g(m) = -7*c(m) - 5*j(m). Solve g(k) = 0.
-2
Suppose -6 = -5*f - 0*n + 3*n, -3*f + 2*n = -3. Factor -2/3*w**2 - 1/3*w + 1/3*w**f + 2/3.
(w - 2)*(w - 1)*(w + 1)/3
Let o be ((-3)/(-2) + -2)*(-1)/2. Factor o*y**3 - y**2 - 1/2 + 5/4*y.
(y - 2)*(y - 1)**2/4
Suppose -u**2 + 9/5 - 1/5*u**3 - 3/5*u = 0. What is u?
-3, 1
Let o(s) be the first derivative of s**4/8 - s**3/2 + 3*s**2/4 - s/2 + 1. What is v in o(v) = 0?
1
Suppose h - 20 = 5*h. Let i = -3 - h. Determine m so that -3*m + 0*m**i + m**2 + 4*m = 0.
-1, 0
Factor 2/13*h**3 + 0*h + 6/13*h**2 + 0.
2*h**2*(h + 3)/13
Let c(a) = a**4 - 3*a**3 - 9*a**2 + a + 3. Let p(w) = -4*w**3 - 8*w**2 + 2. Let j(o) = 2*c(o) - 3*p(o). Find y such that j(y) = 0.
-1, 0
Let a(o) be the third derivative of o**10/15120 - o**8/3360 - 5*o**4/24 + 5*o**2. Let t(d) be the second derivative of a(d). Factor t(h).
2*h**3*(h - 1)*(h + 1)
Let p(d) be the first derivative of -d**5/50 - d**4/8 - 3*d**3/10 - 7*d**2/20 - d/5 + 17. Factor p(u).
-(u + 1)**3*(u + 2)/10
Let j(t) = 6*t**4 + 6*t**3 + 10*t**2 + 2*t. Let s(g) = 13*g**4 + 12*g**3 + 21*g**2 + 4*g. Suppose -4*o = -13 - 3. Let i(n) = o*s(n) - 9*j(n). Factor i(a).
-2*a*(a + 1)**3
Suppose -3*j - 3*c + 31 = j, -5*j = 3*c - 35. Suppose 23*r**2 + 0*r**2 - 19*r**4 - r**3 + 8*r - j + 0 + 0*r**3 - 7*r**5 = 0. What is r?
-2, -1, 2/7, 1
Let q = -210993 - -22154497/105. Let s = q + -16/15. Factor -2/7*i**4 - 12/7*i**2 + s*i - 2/7 + 8/7*i**3.
-2*(i - 1)**4/7
Let s be (-7)/28 + 15/(-4). Let p(m) = -m**3 - 5*m**2 - 5*m. Let z be p(s). Solve -2/3*d**2 + 1/3*d**z + 1/3*d + 1/3*d**5 + 1/3 - 2/3*d**3 = 0 for d.
-1, 1
Let x be ((-51)/4)/(1089/(-30)). Let t = x + 3/242. Find w, given that -t*w + 0 - 2/11*w**2 = 0.
-2, 0
Let h(t) be the third derivative of 0*t**7 + 0*t - 1/336*t**8 + 0*t**5 + 0 + t**2 + 1/60*t**6 + 0*t**3 - 1/24*t**4. Factor h(b).
-b*(b - 1)**2*(b + 1)**2
Let u be -3 + (-7)/(3640/(-4764)). Let m = -57/10 + u. Factor 4/13 - m*x**2 + 2/13*x.
-2*(x - 1)*(3*x + 2)/13
Let p = -154 - -157. Solve -3/7*n**p + 2/7*n**4 - 1/7*n**2 - 1/7 + 3/7*n = 0 for n.
-1, 1/2, 1
Let d(a) = -11*a**4 - 31*a**3 - 54*a**2 - 19*a + 5. Let o(p) = -17*p**4 - 46*p**3 - 81*p**2 - 28*p + 8. Let g(f) = 8*d(f) - 5*o(f). Factor g(y).
-3*y*(y + 1)**2*(y + 4)
Let h(c) be the second derivative of -1/100*c**5 - 4*c + 1/10*c**2 - 1/10*c**3 + 0 + 1/20*c**4. What is y in h(y) = 0?
1
Let t(v) be the third derivative of 7*v**5/90 + 5*v**4/36 - 2*v**3/9 + 5*v**2. Find f such that t(f) = 0.
-1, 2/7
Let d be 6/15 + (-102)/5. Let s be (-5*8/d)/1. Determine a, given that 1/5 + 2/5*a + 1/5*a**s = 0.
-1
Let n be (4/2)/(2/3). Suppose 0 = -3*r - 2*j - 8, 4*j + 16 = -r - r. Factor -p**4 + r*p + 3*p**4 - 2*p**2 + 2*p - 2*p**n.
2*p*(p - 1)**2*(p + 1)
Factor -72/7 - 48/7*m + 22/7*m**2 - 2/7*m**3.
-2*(m - 6)**2*(m + 1)/7
Let f(j) = -5*j**2 - j. Let z(d) = -30*d**2 - 5*d. Let b(u) = -35*f(u) + 6*z(u). Suppose b(w) = 0. What is w?
0, 1
Let f(o) = o**3 + 2*o**2 - 3*o - 1. Let w be f(3). Suppose -2*i**3 + 35 - w + 2*i**2 = 0. Calculate i.
0, 1
Let f be (-2)/(5/6*(-8)/20). Let b(q) be the second derivative of 1/75*q**f - 1/15*q**3 - 1/30*q**4 + 0*q**2 - 3*q + 0 + 1/50*q**5. Factor b(w).
2*w*(w - 1)*(w + 1)**2/5
Let t be (-8)/(-14)*(-21)/(-6). Factor 0 + 3 - 4 - t + 3*d**2.
3*(d - 1)*(d + 1)
Let n(h) be the second derivative of h**8/1470 + 2*h**7/2205 - h**6/360 + h**5/420 - h**4/3 + 4*h. Let p(i) be the third derivative of n(i). Factor p(s).
2*(s + 1)*(4*s - 1)**2/7
Let t(v) be the third derivative of v**5/100 + v**4/10 + 2*v**3/5 - 9*v**2. Find n, given that t(n) = 0.
-2
Let f be ((-3)/(-2))/((-3)/(-4)). Factor j**2 + f*j + j**3 - 2*j.
j**2*(j + 1)
Let q(v) be the third derivative of -v**7/70 + 41*v**6/600 - 2*v**5/25 + v**4/30 - 32*v**2. Find o such that q(o) = 0.
0, 1/3, 2/5, 2
Suppose -n - 2 = 2*y, y - 4*y - 6 = 0. Suppose 0 = n*m + 4 - 8. Factor m*p**2 - 2 + 4 - 6*p + 10*p.
2*(p + 1)**2
Let a(m) be the first derivative of 3*m**4/4 - 3*m**3 + 12*m - 13. Factor a(n).
3*(n - 2)**2*(n + 1)
Factor 108/7*o + 4/7*o**3 + 108/7 + 36/7*o**2.
4*(o + 3)**3/7
Let m(j) = j**2 + 4*j - 5. Let l be m(-5). Factor -10*c - 2*c**2 + 5*c**2 + l*c**2 + c.
3*c*(c - 3)
Suppose 2*n - 5*f = 9, 0*n + 8 = 5*n + 2*f. Suppose 4*a - 11 = -27, 4*c = n*a + 8. Factor -2*m**3 + c*m**2 + 3*m**2 - 8*m - 8 - 13*m**2 - 8*m.
-2*(m + 1)*(m + 2)**2
Let s be (17 - (-8)/(-4)) + -1. Let b = 17 - s. Factor -w**2 + 0 - 1/3*w**4 + w**b + 1/3*w.
-w*(w - 1)**3/3
Let p = 3 + -3. Factor 4/7*y**3 - 2/7*y - 2/7*y**5 + 0*y**2 + p + 0*y**4.
-2*y*(y - 1)**2*(y + 1)**2/7
Let z(o) be the third derivative of o**8/2016 - o**6/720 - 2*o**2. Solve z(v) = 0.
-1, 0, 1
Let z(f) = -4*f**2 - 4*f - 5. Let w(i) = -3 - i - 10*i - 3 - 5*i**2 + 6*i. Let s(m) = 5*w(m) - 6*z(m). Suppose s(u) = 0. What is u?
-1, 0
Let g(o) be the third derivative of o**9/181440 - o**8/30240 + o**5/12 - 4*o**2. Let x(n