 Let j be c(13). Let t(q) be the third derivative of 0 + 0*q - 4*q**j - 1/3*q**3 - 1/6*q**4 + 1/10*q**5. Find p such that t(p) = 0.
-1/3, 1
Suppose 6*w + 0 = 12. Find z such that 5*z**w + 2671 - 2671 - 4*z**3 - 5*z**4 - z**3 + 5*z**5 = 0.
-1, 0, 1
Let c = -17807 + 17811. Factor -12/5*p**3 - 2/5*p - 8/5*p**c - 2/5*p**5 + 0 - 8/5*p**2.
-2*p*(p + 1)**4/5
Suppose -6*c - 123 = 147. Let w = -89/2 - c. Determine f so that w*f**2 + 1/2*f**4 + 0*f - f**3 + 0 = 0.
0, 1
Let d(i) be the third derivative of -i**8/5040 - i**7/420 - i**5/10 - 16*i**2. Let m(x) be the third derivative of d(x). Factor m(o).
-4*o*(o + 3)
Let m(p) be the second derivative of 2*p**7/105 - p**6/10 + p**5/5 - p**4/6 - 41*p**2/2 - p - 2. Let l(h) be the first derivative of m(h). Factor l(x).
4*x*(x - 1)**3
Let w = -12 + 15. Let c(z) be the first derivative of -2/3*z**2 - 2/3*z - 2/9*z**w - 5. Factor c(j).
-2*(j + 1)**2/3
Let o(t) = -t**2 + 6*t - 6. Let z be o(4). Suppose -v = -z - 7. Factor 10 + v*s**2 - 4 - 3 + 9*s + 3*s**3.
3*(s + 1)**3
Let f be 103 + ((-32)/24)/((-2)/(-3)). Suppose -12*s**3 + f*s**4 + 5*s**2 + 7*s**2 - 97*s**4 - 4*s = 0. What is s?
0, 1
Let x = -913 + 913. Let p(i) be the first derivative of -1/5*i**2 - 7 + 2/15*i**3 + x*i. Factor p(b).
2*b*(b - 1)/5
Let d(u) = 1 + 0*u**2 - 35*u - 29 + 11*u + 9*u**2. Let l(t) = -t**2. Let w(a) = -d(a) - 5*l(a). Factor w(h).
-4*(h - 7)*(h + 1)
Let t(o) be the third derivative of -o**6/40 + 21*o**5/20 - 147*o**4/8 + 343*o**3/2 + 3*o**2 - 8*o. Factor t(v).
-3*(v - 7)**3
Suppose 2*p = 4*i, -3*i = -5*p + 79 - 58. Suppose -6/5 + 32/5*v**i - 7/5*v**5 + 12/5*v**4 - 5*v - 6/5*v**2 = 0. Calculate v.
-1, -2/7, 1, 3
Let r(b) = -b**2 - 7*b - 3. Let g(c) = c**2 + 6*c + 2. Let t(a) = -7*g(a) - 6*r(a). What is z in t(z) = 0?
-2, 2
Let z(s) = s**2 + 11*s - 7. Let x be z(-12). Let o(b) be the third derivative of 0*b + 6*b**2 + 1/300*b**6 - 1/60*b**4 + 1/75*b**x + 0 - 2/15*b**3. Factor o(r).
2*(r - 1)*(r + 1)*(r + 2)/5
Let k(w) = 3*w**3 + 3*w**2 - 3*w - 3. Let o(p) = p**4 + 4*p**3 + 2*p**2 - 4*p - 3. Let h(y) = -4*k(y) + 3*o(y). Determine z, given that h(z) = 0.
-1, 1
Let r(g) be the third derivative of -1/108*g**6 + 1/1512*g**8 + 1/90*g**5 + 0*g + 0 - 1/315*g**7 + 1/27*g**4 + 0*g**3 - 4*g**2. Let r(d) = 0. What is d?
-1, 0, 1, 4
Determine p so that 15/7 - 9/7*p**3 - 27/7*p - 51/7*p**2 = 0.
-5, -1, 1/3
Let v + 4/5 + 1/5*v**2 = 0. Calculate v.
-4, -1
Let i = -17 + 21. Suppose 0 = -i*v + 31 - 23. Find h such that 9*h - h + v + 6 + 2*h**2 = 0.
-2
Let z(t) be the first derivative of t**4/10 + 4*t**3/5 + 9*t**2/5 - 95. Factor z(i).
2*i*(i + 3)**2/5
Let r be (244/(-549))/((-1)/9). Let p(o) be the first derivative of 1/21*o**6 - 2/21*o**3 + 0*o + 2/35*o**5 + 0*o**2 - 1/14*o**r - 7. Solve p(z) = 0.
-1, 0, 1
Let h be 20/(-56)*56/(-35). Let i(g) be the first derivative of -3 + 4/21*g**3 - 1/7*g**2 - h*g + 1/14*g**4. What is p in i(p) = 0?
-2, -1, 1
Let s = 224 - 353. Let j = s - -134. Find w such that -1/4*w**3 - 1/2*w**4 + 0 + 0*w + 1/4*w**j + 1/2*w**2 = 0.
-1, 0, 1, 2
Let o(v) be the third derivative of -1/2184*v**8 - 1250/39*v**3 - 11/78*v**6 + 0 + 125/52*v**4 + 0*v + 20/39*v**5 + 6/455*v**7 + 28*v**2. Factor o(w).
-2*(w - 5)**4*(w + 2)/13
Let f(g) be the third derivative of g**6/30 - g**5/3 + g**4 + 5*g**2. Factor f(q).
4*q*(q - 3)*(q - 2)
Suppose -90/7 + 3/7*q**5 + 321/7*q - 426/7*q**2 + 36*q**3 - 60/7*q**4 = 0. Calculate q.
1, 2, 15
Let y be (1*-6)/(61 + -63). Factor -168/5*l - 98/5 - 2/5*l**4 + 24/5*l**y - 44/5*l**2.
-2*(l - 7)**2*(l + 1)**2/5
Let y(b) be the third derivative of -b**6/60 + 13*b**5/15 - 43*b**4/4 + 60*b**3 - 343*b**2. Solve y(f) = 0 for f.
3, 20
Factor -6/19*f**3 - 24/19*f + 74/19*f**2 + 0.
-2*f*(f - 12)*(3*f - 1)/19
Suppose 0 = 24*j - 23*j - 5. Let t(z) be the third derivative of 0 - j*z**2 + 1/24*z**3 + 0*z + 1/120*z**5 - 1/32*z**4. Suppose t(p) = 0. Calculate p.
1/2, 1
Let t be 1/(-2) - 1/(-2). Suppose t = s - 2*q - 4, 0 = s + s - 3*q - 7. Factor 2*r + 2*r + r**s + 2*r - 7*r.
r*(r - 1)
Let m(o) be the first derivative of -o**6/27 + 4*o**5/45 + 19*o**4/18 - 40*o**3/27 - 97. Determine z so that m(z) = 0.
-4, 0, 1, 5
Let -5/4*b**2 - 19/4*b - 7/2 = 0. Calculate b.
-14/5, -1
Let b(f) be the third derivative of f**6/80 - f**5/4 - 23*f**4/16 - 3*f**3 - 2*f**2 + 307. Suppose b(v) = 0. Calculate v.
-1, 12
Suppose 0 = 4*u - 4, 4*w - 3*w + 2*u = 1. Let z be (2 + w)*(0 - 0). Suppose z + 3/4*k**3 - 3/4*k**2 - 3/2*k = 0. What is k?
-1, 0, 2
Let z = -7 - -9. Let h be (0 + 10/9)*7/35. Factor -2/9*o**4 + 2/9*o**z + 0 - 2/9*o**3 + h*o.
-2*o*(o - 1)*(o + 1)**2/9
Let y(o) = -o - 3. Let b be y(-5). Suppose -n + 4*g - 22 = -2*n, -n = -b*g + 8. Factor -7*v**n - v**2 + 7*v**2 + 4*v**3 - 3*v**2.
4*v**2*(v - 1)
Suppose 4*j - 5*j = 2*c - 6, -4*c + 4 = -2*j. Find a, given that -26*a**c + 0*a + 23*a**2 + 6*a = 0.
0, 2
Suppose -20/17*t + 0 - 2/17*t**2 = 0. Calculate t.
-10, 0
Find v, given that 0 + 6*v**3 + 14/3*v**4 - 14/3*v**2 - 20/3*v + 2/3*v**5 = 0.
-5, -2, -1, 0, 1
Let c be (4/(-3))/(5336/2670 + -2). Let b be c/12 - -6*(-2)/18. What is h in -b*h**2 - 42*h - 6 = 0?
-2/7
Find q such that 1512*q - 2592 - 1/2*q**4 - 270*q**2 + 39/2*q**3 = 0.
3, 12
Factor 22/9*k**3 - 4/9 - 16/3*k**2 + 10/3*k.
2*(k - 1)**2*(11*k - 2)/9
Factor 26*k - 10 + 7*k**3 - 45/2*k**2 - 1/2*k**4.
-(k - 10)*(k - 2)*(k - 1)**2/2
Let g(x) be the third derivative of 2/15*x**4 + 0 + 0*x + 9*x**2 + 1/25*x**5 + 2/15*x**3. Factor g(i).
4*(i + 1)*(3*i + 1)/5
Suppose 0 = 2*l + 5*l - 21. What is q in -6*q**2 - 9*q**2 - 15*q**l - 3*q + 8*q + 5*q**2 = 0?
-1, 0, 1/3
Let r(i) be the first derivative of 8*i - 4/5*i**5 - 4/3*i**3 + 31 + 6*i**2 - 3*i**4. Factor r(m).
-4*(m - 1)*(m + 1)**2*(m + 2)
Let p be 4/10 - (30/25)/3. Let r(c) be the first derivative of p*c - 4 + 16/3*c**3 + 2/5*c**5 + 5/2*c**4 + 4*c**2. Factor r(t).
2*t*(t + 1)*(t + 2)**2
Let n(y) be the second derivative of -y**9/18900 + y**8/8400 + y**7/3150 - y**6/900 + y**4/6 + 4*y. Let t(i) be the third derivative of n(i). Factor t(k).
-4*k*(k - 1)**2*(k + 1)/5
Solve -5/3*a**2 + 55 + 40/3*a = 0 for a.
-3, 11
Let j(y) be the third derivative of -y**7/7560 - y**6/720 - 7*y**4/8 + 7*y**2. Let s(p) be the second derivative of j(p). Factor s(r).
-r*(r + 3)/3
Let d(p) = -p**3 + 9*p**2 + 11*p - 8. Let x be d(10). Let g be (5 - 5) + (-64)/(-12). Factor 32/3 + 2/3*o**x + g*o.
2*(o + 4)**2/3
Suppose -5*h = -4*h - 3. Suppose 3*v - 3 = 2*v, 4*b - 31 = -5*v. Find t such that t + 2 + b + 2*t - h*t**2 = 0.
-1, 2
Let p(q) be the third derivative of -q**6/120 + 11*q**5/60 + 7*q**4/3 + 10*q**3 + 371*q**2. Determine a, given that p(a) = 0.
-2, 15
Let a be 10/(-6)*(-178)/445. Solve 11/3*u - a - 3*u**2 = 0 for u.
2/9, 1
Let g(t) = t**2 - 9*t + 40. Let y be g(0). Let z be (112/y)/(26/10). Solve -14/13*w**2 + z*w**4 + 0 + 22/13*w**3 - 18/13*w**5 - 4/13*w = 0 for w.
-1, -2/9, 0, 1
Factor 1354*k**3 + 8*k**4 - 1674*k**3 + 4*k**5 - 50*k**2 + 50*k**2.
4*k**3*(k - 8)*(k + 10)
Let v = -57 - -59. Suppose -2*m + 6 = 4*w - v, -2 = -2*w. Factor -4/9*c + 0 + 2/9*c**m.
2*c*(c - 2)/9
Let p be 2 - (-4 - 96/(-10))/3. Let c(f) be the first derivative of 8/5*f**2 + p*f**3 + 8 + 32/5*f. Let c(y) = 0. What is y?
-4
Let 3/5 + 21/5*c**2 - 64/5*c = 0. Calculate c.
1/21, 3
Factor 3*v**2 + 0*v - 1/4*v**4 + v**3 + 0.
-v**2*(v - 6)*(v + 2)/4
Let v(q) = -6*q**2 + 184*q + 381. Let t(o) = -o**2 + 37*o + 76. Let i(f) = 22*t(f) - 4*v(f). Suppose i(c) = 0. What is c?
-37, -2
Let r be (2 - 9)*(1 - 0). Let m be (-90)/126*r/6. Factor 1/6 + m*k**2 - k.
(k - 1)*(5*k - 1)/6
Let g(d) be the first derivative of d**8/18480 - d**6/990 - 4*d**3 - 9. Let c(j) be the third derivative of g(j). Factor c(r).
r**2*(r - 2)*(r + 2)/11
Let g be ((-1863)/(-36))/69 - (-3)/6. Factor -15/4 - 5/2*y + g*y**2.
5*(y - 3)*(y + 1)/4
Let b(m) be the third derivative of m**6/900 + 2*m**5/45 + 37*m**4/180 + 2*m**3/5 - 10*m**2 - 1. What is l in b(l) = 0?
-18, -1
Let g be -3 + (-44)/(-12) + (-38)/(-6). Suppose -5 = g*m - 19. Let 0 + 0*q**m - 3/4*q**3 + 0*q + 15/4*q**4 - 3*q**5 = 0. What is q?
0, 1/4, 1
Let v = 2868/111565 - 14/421. Let p = v - -161/265. Suppose -6/5 - p*o**2 + 9/5*o = 0. What is o?
1, 2
Solve -192*i + 576/7 - 2/7*i**5 - 40/7*i**4 + 916/7*i**2 - 106/7*i**3 = 0 for i.
-12, 1, 2
What is d in -2/11*d**5 + 0 + 26/11*d**2