ve p(u) = 0 for u.
-2, -1, 3
Let y(z) = 5*z**2 + 8*z + 3. Let k(i) = -9*i**2 - 15*i - 6. Let u = 40 - 29. Let m(o) = u*y(o) + 6*k(o). Factor m(c).
(c - 3)*(c + 1)
Let y(u) be the third derivative of -5/108*u**4 - 1/27*u**3 + 0*u + 0 - 1/135*u**5 + 7/270*u**6 + 1/315*u**7 - 1/168*u**8 - 13*u**2. What is w in y(w) = 0?
-1, -1/3, 1
Let i(h) be the first derivative of -h**9/6804 - h**8/1260 - h**7/945 - 8*h**3 + 27. Let a(j) be the third derivative of i(j). Factor a(b).
-4*b**3*(b + 1)*(b + 2)/9
Factor 15/4*w - 75/8 - 3/8*w**2.
-3*(w - 5)**2/8
Let p = 5903/6 - 981. Let g(z) be the second derivative of 0 - 6*z - 5/12*z**4 - 3*z**2 - p*z**3. Factor g(y).
-(y + 3)*(5*y + 2)
Let b = 15 + -13. Let s = -6 + 11. Solve b*u - 5*u + u - 2*u**2 - u**3 + s*u**2 = 0.
0, 1, 2
Factor -9*a**3 - 10*a - 1 - 2 - 8*a**2 - 1 + 7*a**3.
-2*(a + 1)**2*(a + 2)
Let t(p) be the first derivative of -6*p**5/25 + 2*p**4/5 + 8*p**3/15 + 50. Suppose t(f) = 0. Calculate f.
-2/3, 0, 2
Solve -7*v**3 + 8*v**3 - 39 - v**2 + 43 - 4*v = 0.
-2, 1, 2
Let y(i) be the third derivative of i**5/20 - 5*i**4/2 - 22*i**3 + 16*i**2. Determine j so that y(j) = 0.
-2, 22
Let w(t) = -t - 2. Let k be w(-5). Let l(u) = 4*u**3 - 22*u**2 - 15*u + 20. Let v be l(6). Factor 4/7 + 10/7*a + 2/7*a**k + 8/7*a**v.
2*(a + 1)**2*(a + 2)/7
Suppose 5*i - 4*o = o + 4365, o + 2619 = 3*i. Let j = i - 10405/13. Find n, given that -32/13 + 720/13*n**3 - 162/13*n**4 - j*n**2 + 320/13*n = 0.
2/9, 2
Let j(c) be the third derivative of -5/24*c**4 - 9*c**2 + 1/120*c**5 + 2/3*c**3 + 0 + 1/240*c**6 + 0*c. Let j(x) = 0. Calculate x.
-4, 1, 2
Let h = 426 - 2122/5. Let p(b) be the first derivative of 0*b - 27/25*b**5 + h*b**3 + 9/20*b**4 + 7 - 6/5*b**2. Suppose p(v) = 0. Calculate v.
-1, 0, 2/3
Let w(o) be the second derivative of -o**7/210 + 2*o**6/75 - 3*o**5/50 + o**4/15 - o**3/30 + 2*o - 44. Factor w(l).
-l*(l - 1)**4/5
Let a = 61 + -52. Suppose -5*n + 3*m = -19, n = 4*m - a*m - 13. Solve -5/2*p - 3/4 - 1/4*p**4 - 3*p**n - 3/2*p**3 = 0 for p.
-3, -1
Determine p so that -500/3 + 100/3*p - 5/3*p**2 = 0.
10
Let t(d) be the third derivative of 1/14*d**4 + 0*d**3 + 0 - 1/420*d**6 - 18*d**2 + 0*d - 1/210*d**5. Suppose t(b) = 0. What is b?
-3, 0, 2
Let u be 1/2 - (-134)/204. Let i = u + 3/17. Factor 0 - 2/3*j**2 + i*j - 2/3*j**3.
-2*j*(j - 1)*(j + 2)/3
Let v(k) be the second derivative of 40*k**7/21 + 12*k**6 + 129*k**5/4 + 575*k**4/12 + 85*k**3/2 + 45*k**2/2 - 101*k. Factor v(h).
5*(h + 1)**3*(4*h + 3)**2
Find b such that -2/3*b**4 - 8/3*b + 8 + 4*b**3 - 6*b**2 = 0.
-1, 2, 3
Find u such that -1/4*u**5 + u**4 - 3/4*u**3 + 0*u**2 + 0*u + 0 = 0.
0, 1, 3
Find i such that -12/5*i**2 - 96/5*i - 112/5 + 4/5*i**3 = 0.
-2, 7
Let 0 - 24/11*f + 2/11*f**4 + 6/11*f**3 - 8/11*f**2 = 0. What is f?
-3, -2, 0, 2
Let i(q) be the third derivative of -q**7/70 + q**6/5 - 3*q**5/10 - 5*q**4 - 25*q**3/2 + q**2 - 12*q. Factor i(y).
-3*(y - 5)**2*(y + 1)**2
Solve -45/2*y - 21*y**3 + 0 - 3/4*y**4 + 177/4*y**2 = 0 for y.
-30, 0, 1
Suppose m + 30 = -3*o, 3*o = -5*m - 0*o - 90. Let f(i) = -3*i**3 + 13*i**2 - 9*i - 1. Let a(u) = u**2 - 1. Let v(x) = m*a(x) + 5*f(x). Solve v(l) = 0.
1/3, 1, 2
What is y in -34*y**5 + 5*y**3 + 331*y**4 + 14*y**5 - 346*y**4 = 0?
-1, 0, 1/4
Let w be ((-6)/5 - 3)*95/(-152). Let p(c) be the first derivative of 3*c - 21/4*c**2 + 6 + w*c**4 - c**3. Suppose p(g) = 0. Calculate g.
-1, 2/7, 1
Find t such that 25*t + 5 - 460*t**2 + 200*t - 44*t + 274*t = 0.
-1/92, 1
Let n(u) be the second derivative of -u**4/48 - u**3/12 + 10*u**2 + 728*u. Find m such that n(m) = 0.
-10, 8
Let t(m) be the third derivative of m**6/1080 + 17*m**5/540 - m**4/54 - 34*m**3/27 - 22*m**2 + 2*m. Factor t(d).
(d - 2)*(d + 2)*(d + 17)/9
Let c be 3/(-4) - 185/20. Let l(i) = -i**3 - 9*i**2 + 11*i + 12. Let j be l(c). Factor 3*s**2 + 2*s**j - 9*s - 4*s**2 + 2*s**2.
3*s*(s - 3)
Let f(p) be the first derivative of -p**6/2520 + p**5/210 + 5*p**4/168 + 19*p**3/3 - 24. Let i(v) be the third derivative of f(v). Solve i(n) = 0.
-1, 5
Let m(k) be the first derivative of k**8/6720 + k**7/1680 - k**6/480 - k**5/60 - k**4/24 - 6*k**3 + 11. Let d(i) be the third derivative of m(i). Factor d(r).
(r - 2)*(r + 1)**2*(r + 2)/4
Let u(y) = -2*y**2 + 1. Let o(h) = -7*h**2 - 132*h - 1450. Let x(r) = o(r) - 2*u(r). Factor x(n).
-3*(n + 22)**2
Let o be (-160)/42 + 1*(-32)/(-8). Let b(x) be the third derivative of 1/21*x**4 - 1/420*x**6 - 1/210*x**5 + 0 + 0*x + 4*x**2 + o*x**3. Solve b(s) = 0.
-2, -1, 2
Let o = -5 - -19. Suppose 0 = -3*m - 2*n + o, -5*n + 18 = -3*m + 2*m. Factor 8*f + f**2 - 4*f**3 + 0*f**2 - 5*f**m + 0*f**3.
-4*f*(f - 1)*(f + 2)
Let z = -88 + 126. Let x = 115/3 - z. Determine y, given that -1/3*y + 2/3*y**2 - x - 1/3*y**5 - 1/3*y**4 + 2/3*y**3 = 0.
-1, 1
Let n(q) be the second derivative of -1/15*q**4 + 0 + 1/105*q**7 + 0*q**6 - 2/25*q**5 + 2/5*q**2 - 23*q + 1/5*q**3. Factor n(b).
2*(b - 2)*(b - 1)*(b + 1)**3/5
Let o(l) = l**3 + 3*l**2 - 7. Let f be o(-4). Let m = -249/11 - f. Factor 0 + 0*a**3 + 4/11*a**4 - m*a**2 + 2/11*a - 2/11*a**5.
-2*a*(a - 1)**3*(a + 1)/11
Let -3/7*c**2 - 90/7 - 33/7*c = 0. What is c?
-6, -5
Let z = 0 - 0. Let k = -29601/2 - -14801. Suppose 1/2*m**2 - k + z*m = 0. Calculate m.
-1, 1
Let m be -2 + (3 - 4)*10. Let h be 27/63 + m/(-70). Factor -3/5*u**2 - h*u + 6/5.
-3*(u - 1)*(u + 2)/5
Let h(g) be the third derivative of 0 - 1/4*g**4 + 0*g**5 + 0*g**3 - 6*g**2 + 0*g + 3/80*g**6 + 1/140*g**7. Determine z, given that h(z) = 0.
-2, 0, 1
Let p(n) be the second derivative of -n**6/630 + n**5/42 - 2*n**4/21 + 9*n**3/2 + 26*n. Let f(s) be the second derivative of p(s). Solve f(u) = 0 for u.
1, 4
Let b(p) be the third derivative of -p**5/36 + 5*p**4/24 - 5*p**3/9 - 2*p**2 + 19. Factor b(v).
-5*(v - 2)*(v - 1)/3
Let x(i) = -i**3 - 9*i**2 - 6*i + 18. Let s be -7 + 3 + 1 + -5. Let n be x(s). What is j in -3/2*j + 0 + 0*j**3 + 3*j**4 + 3/2*j**5 - 3*j**n = 0?
-1, 0, 1
Let z = -520 - -308. Let s = z + 849/4. Factor -2*k + 1/4*k**3 - 3 + s*k**2.
(k - 3)*(k + 2)**2/4
Suppose -45 - 104*f**3 - 21 - 21*f**4 + 10 - 298*f**2 - 256*f + 15*f**4 = 0. What is f?
-14, -2, -1, -1/3
Let f(h) = h**3 + 131*h**2 + 877*h + 2063. Let c(x) = 666 + 192 + 174 + 66*x**2 + 438*x. Let k(z) = 5*c(z) - 3*f(z). Find t such that k(t) = 0.
-7
Let a(q) = q**2 + q - 1. Let l(m) = -9*m**2 - 84*m - 136. Let u(t) = -4*a(t) - l(t). Find r such that u(r) = 0.
-14, -2
Let c = 486 + -483. Let y(f) be the third derivative of 0 + 0*f - 1/330*f**5 + 2/33*f**3 + c*f**2 + 1/132*f**4. Factor y(u).
-2*(u - 2)*(u + 1)/11
Let 695*s - 96605/2 - 5/2*s**2 = 0. Calculate s.
139
Suppose -78 = -3*u - 0*u. Suppose -2*q = -3*p - p + u, -4*q = 4*p + 4. Solve 2*l**2 + 19 - 19 - 6*l**3 + p*l = 0 for l.
-2/3, 0, 1
Let n be (-171)/24 + 7 + (-33)/(-8). Let c(t) be the second derivative of 0*t**2 + 0 + 1/126*t**7 + 1/60*t**5 + 0*t**3 - 1/45*t**6 + 0*t**n - 6*t. Factor c(w).
w**3*(w - 1)**2/3
Let r(u) be the first derivative of u**3/4 - 3*u**2/4 - 9*u/4 - 120. Factor r(a).
3*(a - 3)*(a + 1)/4
Solve -1152*k - 312*k**3 - 2/3*k**5 + 0 + 74/3*k**4 + 1440*k**2 = 0 for k.
0, 1, 12
Solve 0 - 1/2*q**2 + 5/2*q = 0 for q.
0, 5
Let y(x) be the third derivative of 0*x - 8 - 1/18*x**4 - 1/180*x**5 + 5/18*x**3 - 4*x**2. Factor y(k).
-(k - 1)*(k + 5)/3
Let l(c) be the first derivative of 12 + 5/3*c**3 + 5/2*c**2 + 0*c. Solve l(a) = 0 for a.
-1, 0
Suppose 5*i - 5 = -15. Let m(l) = l**2 - 4*l - 1. Let h(p) = -p - 1. Let w(a) = i*h(a) + m(a). Factor w(k).
(k - 1)**2
Let m be (4/(-20))/((-51)/85). Factor 0 - g - 4*g**3 + 2*g**4 + 10/3*g**2 - m*g**5.
-g*(g - 3)*(g - 1)**3/3
Let m be (-4)/5*(-35)/14. Let f be 4*-2*3/(-12). Factor -7*d**2 - d**f + 20*d + 6 - 4*d**m + d.
-3*(d - 2)*(4*d + 1)
Let d(g) be the second derivative of 5/6*g**4 + 1/4*g**5 + 5/6*g**3 + 0 + 0*g**2 + 19*g. Factor d(s).
5*s*(s + 1)**2
Factor -52*u + 167*u - 53*u - u**2 - 54*u.
-u*(u - 8)
Factor 12*o**3 - 27/2*o - 6 + 9*o**4 - 3*o**2 + 3/2*o**5.
3*(o - 1)*(o + 1)**3*(o + 4)/2
Let z(w) be the third derivative of -w**7/15120 + w**6/4320 - 11*w**4/24 - 8*w**2. Let l(u) be the second derivative of z(u). What is n in l(n) = 0?
0, 1
Let t = 1291 + -2579/2. Factor 3/2*i - t*i**3 - 3/2 + 3/2*i**2.
-3*(i - 1)**2*(i + 1)/2
Let g = 159 + -157. Let a be (5/10 - (-15)/g)/6. Solve a*k + 4