+ 2*j**5 + 15*j**4 - 2*j**3.
2*j**3*(j + 1)*(j + 2)
Let q(g) = g. Let s be q(6). Let n(c) = c**2 - 3*c - 14. Let b be n(s). What is w in -27/4*w**3 - 13/4*w**2 - 23/4*w**b - 7/4*w**5 - 1/2*w + 0 = 0?
-1, -2/7, 0
Find w, given that 8/3*w + 10/3 + 2/3*w**4 - 4*w**2 - 8/3*w**3 = 0.
-1, 1, 5
Let x(j) be the third derivative of -j**6/720 + 7*j**5/360 - 7*j**4/72 + 2*j**3/9 - 3*j**2. Find v such that x(v) = 0.
1, 2, 4
Let l be (5/2)/(4/8). Suppose l*q**2 + 20*q - 2*q**2 - 8*q**2 = 0. Calculate q.
0, 4
Let a be (2/6)/((-1)/3). Let g = a - -4. Let 4*n**3 + 0*n + n**5 - 1 - 2*n**2 + 0*n**5 - 3*n + g*n**4 - 2*n**3 = 0. Calculate n.
-1, 1
Let b(w) be the third derivative of 1/1848*w**8 - 1/330*w**6 + 0*w**5 + 0*w**4 + 0 + 0*w + 1/1155*w**7 - 9*w**2 + 0*w**3. Factor b(r).
2*r**3*(r - 1)*(r + 2)/11
Let f(o) be the first derivative of -22/5*o**2 - 15 - 16/5*o - 2/3*o**3. Factor f(b).
-2*(b + 4)*(5*b + 2)/5
Let z(w) be the first derivative of -w**4/2 - 4*w**3 + w**2 + 12*w + 42. Let z(b) = 0. Calculate b.
-6, -1, 1
Let y(n) = -n**3 + 6*n**2 - 7*n - 2. Let m be y(4). Let 2/7*q + 0 - 6/7*q**m + 6/7*q**3 - 2/7*q**4 = 0. Calculate q.
0, 1
Let j(d) be the third derivative of -d**5/420 + d**4/84 + d**3/14 + 22*d**2. Let j(k) = 0. What is k?
-1, 3
Let y(z) = -3*z**3 - 4*z**2 + 2*z + 2. Let o(x) = -x**2 - x - 1. Suppose 0 = -2*t + 3 - 1. Let r(d) = t*o(d) - y(d). Determine a, given that r(a) = 0.
-1, 1
Let b(u) = -u**2 + 8*u - 12. Let x be b(3). Let i(a) be the second derivative of 6*a + 0*a**x + 0*a**5 + 0 + 0*a**2 + 1/4*a**4 - 1/10*a**6. Factor i(s).
-3*s**2*(s - 1)*(s + 1)
Suppose 0 = 3*r - 2*z - 19, -4*r - z = -2*r - 1. Let b**2 + 7 - 17 - r*b + b**2 + 8 = 0. Calculate b.
-1/2, 2
Let p(a) be the second derivative of -a**4/3 + 196*a**3/3 - 4802*a**2 + 32*a + 1. Factor p(k).
-4*(k - 49)**2
Let f(k) be the second derivative of -1/15*k**6 - 1/3*k**2 + 1/2*k**3 + 0 + 7/30*k**5 + 1/126*k**7 + 12*k - 4/9*k**4. Factor f(u).
(u - 2)*(u - 1)**4/3
Let r(k) = -k**3 - 2*k + 2. Let m(u) = 7*u**3 + 10*u**2 + 37*u - 12. Let o(p) = 5*m(p) + 30*r(p). Determine j so that o(j) = 0.
-5, 0
Let x = -75 - -148. Factor -9*c + 42*c**2 - 9*c**3 + 61*c**2 - x*c**2.
-3*c*(c - 3)*(3*c - 1)
Suppose -4*q + 0*x = 5*x, -q = 5*x + 15. Let z(h) be the third derivative of 0*h - 3*h**2 + 0*h**3 - 1/36*h**4 + 0 - 1/90*h**q. Solve z(f) = 0 for f.
-1, 0
Factor 40/7 - 2/7*p**2 - 16/7*p.
-2*(p - 2)*(p + 10)/7
Let n = -21 - -141. Let z be 4*1 - n/32. Suppose 0 + 1/4*b**2 - 1/4*b - 1/4*b**4 + z*b**3 = 0. What is b?
-1, 0, 1
Let s(b) be the first derivative of -b**5/25 - 3*b**4/10 - 2*b**3/3 - 3*b**2/5 + 40*b + 46. Let x(r) be the first derivative of s(r). Find v such that x(v) = 0.
-3, -1, -1/2
Let a = 187583/189 - 6919/7. Let z(s) be the first derivative of 26/3*s**5 - 8/9*s**2 + 89/18*s**4 - 25/3*s**6 - a*s**3 + 8/9*s - 1. Find d such that z(d) = 0.
-2/5, 1/3, 1
Factor 37*m**2 + 1/6*m**3 - 149/2*m + 112/3.
(m - 1)**2*(m + 224)/6
Let c be 1 + 3 + -2*(-3 + 4). Factor 9 + k**c - 11*k + k**2 - k**3 + 4*k**2 - 3.
-(k - 3)*(k - 2)*(k - 1)
Suppose 0 = 5*z - 5*s - 15, -s = 12*z - 10*z - 3. Determine a, given that 4/3*a**z + 2/3*a + 2/3*a**3 + 0 = 0.
-1, 0
Let j be (-1992)/8300*6*10/(-9). What is g in -32/5 - 1/10*g**2 - j*g = 0?
-8
Let b be (-351)/(-195)*(-40)/(-16). Find f such that 15/2*f**2 - 24*f + b = 0.
1/5, 3
Let o be -1 + (-391)/(-35) + 0 - (-120)/(-75). Suppose 204/7*g + o - 3*g**2 = 0. Calculate g.
-2/7, 10
Let v(b) be the first derivative of b**7/840 - b**6/480 - b**5/120 + 13*b**2/2 + 16. Let g(o) be the second derivative of v(o). Find q such that g(q) = 0.
-1, 0, 2
Suppose -9*i = -12*i - 36. Let t be (-42)/i - (-6)/(-4). Factor 3*q + 6/7 - 27/7*q**t.
-3*(q - 1)*(9*q + 2)/7
Let r(t) = 7*t**3 + 45*t**2 + 181*t + 155. Let k(m) = -9*m**3 - 46*m**2 - 182*m - 160. Let n(s) = -4*k(s) - 5*r(s). Factor n(v).
(v - 45)*(v + 1)*(v + 3)
Let p(x) = -x**2 + 41*x - 90. Let g(b) = 2*b**2 - 2*b + 2. Let l(r) = -2*g(r) - p(r). Factor l(q).
-(q - 2)*(3*q + 43)
Let a = 656316861/438152 - -87/33704. Let o = -1497 + a. Let -18/13 - o*f - 2/13*f**2 = 0. Calculate f.
-3
Let i(j) = 2*j**3 + 78*j**2 + 614*j - 51. Let m be i(-28). What is t in -16/9 + 40/3*t - 22/9*t**3 - 236/9*t**2 - 98/9*t**m + 28*t**4 = 0?
-1, 2/7, 1, 2
Let y be 0/(-1 + 8 - (0 - -6)). Let s(t) be the third derivative of -3/8*t**3 + y + 6*t**2 + 1/4*t**4 + 0*t - 1/16*t**5. Suppose s(x) = 0. Calculate x.
3/5, 1
Let d(i) = -7*i**4 - 18*i**3 + 36*i**2 - 17*i + 3. Let t(j) = 8*j**4 + 20*j**3 - 36*j**2 + 16*j - 4. Let q(n) = 4*d(n) + 3*t(n). Let q(m) = 0. What is m?
-5, 0, 1
Let d = -698 + 703. Let l(v) be the third derivative of 1/540*v**6 + 0*v + 0*v**4 - 12*v**2 + 4/27*v**3 + 0 - 1/90*v**d. Factor l(t).
2*(t - 2)**2*(t + 1)/9
Suppose 35 + 5 = 4*m. Let u be 4 + 2*(-6)/(-12). Factor 32*q - 134*q**3 - 2 - 6*q**u - 92*q**5 - 46*q**2 + m + 238*q**4.
-2*(q - 1)**3*(7*q + 2)**2
Let x(v) = v**3 - 2*v**2 + 2. Let i be x(2). Find p such that -30*p + p**2 + 5 + 0 + 18*p**3 - 6*p**i + 12*p**3 = 0.
-1, 1/6, 1
Factor 64*b**5 + 180*b**3 + 216*b**2 - 125*b**5 + 64*b**5 + 42*b**4 + 1 - 1.
3*b**2*(b + 2)*(b + 6)**2
Let a(c) be the third derivative of -c**8/1008 - 19*c**7/630 + 19*c**6/60 - 37*c**5/45 - 11*c**4/9 + 32*c**3/3 + 4*c**2 + 69*c. Determine d so that a(d) = 0.
-24, -1, 2
Let -103/5*p**3 - 21/5*p**4 + 79/5*p + 4 + 5*p**2 = 0. Calculate p.
-5, -4/7, -1/3, 1
Suppose 5*c - 4*s - 4212 = 0, -8*s = c - 12*s - 836. Let r be 8*(-4 - c/(-208)). Determine k, given that -2/13*k + r*k**2 - 6/13 + 2/13*k**3 = 0.
-3, -1, 1
Let x(q) = -2*q**2 + 4*q. Let l(s) = -4*s**2 + 8*s + 1. Let b = -39 + 83. Let m be (-3)/2*b/33. Let a(g) = m*l(g) + 5*x(g). Determine h so that a(h) = 0.
1
Let p(s) be the third derivative of s**2 + 0*s + 0 + 1/30*s**6 + 1/30*s**5 - 1/35*s**7 + 0*s**3 + 0*s**4. Solve p(x) = 0.
-1/3, 0, 1
Let o = -179/6 + 65/2. What is a in o + 8/3*a + 2/3*a**2 = 0?
-2
Let x(j) be the second derivative of 5*j**7/336 + 17*j**6/60 + 279*j**5/160 + 27*j**4/8 + 9*j**3/4 + 20*j + 3. Solve x(r) = 0.
-6, -1, -3/5, 0
Let t(l) = 21*l**3 - 345*l**2 + 2334*l + 9. Let q(b) = 5*b**3 - 86*b**2 + 584*b + 2. Let x(d) = 9*q(d) - 2*t(d). Determine f, given that x(f) = 0.
0, 14
Let m(p) be the third derivative of p**7/1575 + p**6/180 + 7*p**5/450 + p**4/60 - 58*p**2 + 3. Factor m(d).
2*d*(d + 1)**2*(d + 3)/15
Let l(a) = 9*a**2 + 17*a. Let y = 1 + 1. Let q(u) = 20*u - 49*u - 2*u**y + 25*u. Let v(r) = -6*l(r) - 26*q(r). Factor v(p).
-2*p*(p - 1)
Let v be 2 - (-6)/5*(-30)/(-9). Let u be (31 - (5 - v))/5. Suppose 2/5*t**2 - 16/5*t + u = 0. Calculate t.
4
Let v(b) = -b**3 + 2*b**2 + 98*b + 13. Let s be v(11). Factor 0 - 9/4*z - 3/2*z**4 + 3/2*z**s + 2*z**3 + 1/4*z**5.
z*(z - 3)**2*(z - 1)*(z + 1)/4
Determine j, given that 58*j - 276*j - 136*j**3 + 624*j**2 - 202*j**3 - 70*j = 0.
0, 12/13
Factor 17*u**2 - 30*u - 12*u**2 - 10*u + 8 - u.
(u - 8)*(5*u - 1)
Let j be (20 - 0)*189/28. Factor 58*c**3 + 255*c**2 + 347*c**3 + 195*c**2 + 40 + j*c**4 + 220*c.
5*(c + 1)*(3*c + 2)**3
Find k, given that 2/11*k**5 + 0*k + 0 - 4/11*k**4 + 4/11*k**2 - 2/11*k**3 = 0.
-1, 0, 1, 2
Let -8 - 20/3*w + 1/3*w**3 - 2/3*w**2 = 0. Calculate w.
-2, 6
Let i(v) be the second derivative of -1/78*v**4 - 16/13*v**2 + 8/39*v**3 + 7*v + 0. What is m in i(m) = 0?
4
Let n be 0/(2/(6/3)). Suppose -2*m + 4*y = -28, -3*m = -n*m - 3*y - 27. Suppose -4*c**2 - m*c**2 - 4*c**2 + 4*c**2 + 4*c + 4*c**3 = 0. What is c?
0, 1
Let w = 28 + -26. Factor -4*o**4 + 1047*o**5 + 7*o - 1048*o**5 + 2*o**4 - 3*o + 8*o**w + 3*o**3.
-o*(o - 2)*(o + 1)**2*(o + 2)
Let c(r) be the third derivative of -1/27*r**4 + 0 - 19*r**2 + 1/90*r**5 + 0*r - 4/27*r**3 + 1/945*r**7 + 1/135*r**6. Let c(m) = 0. What is m?
-2, -1, 1
Determine y so that 0*y - 72/7*y**2 + 38/7*y**4 + 0 - 32/7*y**3 - 2/7*y**5 = 0.
-1, 0, 2, 18
Determine x, given that -64 + x**2 + 8*x + 109 - 65 = 0.
-10, 2
Let b(t) be the second derivative of -1/150*t**6 + 0*t**3 - 2/15*t**4 - 4/75*t**5 + t + 0 + 1/2*t**2. Let h(x) be the first derivative of b(x). Factor h(n).
-4*n*(n + 2)**2/5
Suppose -32/9*w**5 + 16*w**4 + 32/9 + 100/3*w + 874/9*w**2 + 782/9*w**3 = 0. Calculate w.
-2, -1, -1/4, 8
Let b be 1*-9 - (-18 + (32 - 26)). What is l in -12/5*l - 7/5*l**b - 1/5*l**4 - 16/5*l**2 + 0 = 0?
-3, -2, 0
Suppose 8 = -