*4 - 3/2*n**2 + 0 + 4*n - 2/3*n**b. Factor m(y).
-(y + 1)*(y + 3)
Let o(q) be the first derivative of 3/4*q**4 - 8 + 1/5*q**5 + 1/3*q**3 - 3/2*q**2 - 2*q. Determine m, given that o(m) = 0.
-2, -1, 1
Let m be 966/(-552) + -1*(-14)/8. Let 0 + m*i + 12/11*i**3 - 18/11*i**2 - 2/11*i**4 = 0. What is i?
0, 3
Suppose -n + 5*q + 25 = 0, 0 = 2*n - 4*q + 7*q + 15. Suppose 2*h = -2*d - n*h - 2, 8 = -2*d - 4*h. Factor -4/3*z**d - 1/3*z + 1.
-(z + 1)*(4*z - 3)/3
Let f(m) be the first derivative of m**7/21 - m**6/5 - 15*m + 2. Let b(s) be the first derivative of f(s). Factor b(u).
2*u**4*(u - 3)
Let t = -14 - -11. Let i be (-45)/(-20) + t/12. Determine d, given that -3*d**3 - 5*d**4 + 0*d**5 + i*d**2 + d**3 + 3*d**4 + 2*d**5 = 0.
-1, 0, 1
Let q(d) be the first derivative of -2*d**5/5 - 7*d**4 - 146*d**3/3 - 168*d**2 - 288*d - 174. Factor q(k).
-2*(k + 3)**2*(k + 4)**2
Let q be (2 - 6) + 25 - 18. Find g, given that 10*g**2 - 12*g + 8/3 - 7/3*g**q = 0.
2/7, 2
Let s = -733/21 - -2853/7. Let a = s - 362. Find b, given that 2/3*b**2 + 16/3*b + a = 0.
-4
Let y be 0 - -2 - (-2)/1. What is n in -6*n**3 + n**2 - 3*n**2 + 4*n**2 + y*n**3 = 0?
0, 1
Let r(q) be the first derivative of 25 - 2/3*q**2 - q**4 + 0*q + 4/3*q**3 + 4/15*q**5. What is p in r(p) = 0?
0, 1
What is j in 3*j**3 - 3*j**2 - 2051*j + 2063*j - 12*j**2 = 0?
0, 1, 4
Let j(y) be the second derivative of -y**4/36 - 22*y**3/9 - 242*y**2/3 + y - 25. Factor j(a).
-(a + 22)**2/3
Let p be (-1386)/210 - (-6 - (-2 + 3)). Suppose -p - 2/5*s**2 + 4/5*s = 0. Calculate s.
1
Suppose 5*i = 6*i - 2. Let k = 2095 + -4189/2. Factor -1/4*m**i + 0 - k*m.
-m*(m + 2)/4
Let k(s) be the third derivative of s**5/150 - 3*s**4/4 - 46*s**3/15 - 33*s**2 - 4*s. Factor k(d).
2*(d - 46)*(d + 1)/5
Let p(g) = 48*g**2 - 57. Let m(j) = -j**3 - j**2 + j - 2. Let w(t) = 3*m(t) - p(t). Find d, given that w(d) = 0.
-17, -1, 1
Let g be 45/6*(-8)/(-12). Let c be 4*g/20 + (-2)/(-1). Determine u, given that 0 + 0*u**2 + 0*u + 3/2*u**c - 3/2*u**4 = 0.
0, 1
Let c be 6/45 - (-214)/(-30). Let o = -5 - c. Find l such that 7*l**2 + 58*l**3 - 4*l**4 - 66*l**3 + 10*l**5 - 3*l**2 + o*l - 4*l**5 = 0.
-1, -1/3, 0, 1
Let m = -115 - -109. Let y be (3 - 114/30)/(m/15). Find i such that 0 + 0*i + 1/3*i**y + 1/3*i**3 = 0.
-1, 0
Let k(j) = 2*j**2 - 6*j**2 + 9*j**2 + 1 - 6*j**2. Let m be (-5)/40 - 9/(-8). Let a(l) = 4*l**2 - 4. Let z(p) = m*a(p) + 8*k(p). Let z(d) = 0. What is d?
-1, 1
Let r = 86 + -86. Factor -o**2 - 1/3*o**3 + 0*o + r.
-o**2*(o + 3)/3
Let o(y) be the first derivative of -y**6/3060 + y**5/510 + y**4/68 + 10*y**3/3 - 21. Let g(r) be the third derivative of o(r). Factor g(c).
-2*(c - 3)*(c + 1)/17
Let y(c) = -28*c**4 - 4*c**3 + 88*c**2 - 16*c - 16. Let l(b) = 9*b**4 + b**3 - 29*b**2 + 5*b + 5. Let d(m) = 16*l(m) + 5*y(m). Factor d(r).
4*r**2*(r - 3)*(r + 2)
Let a(y) be the second derivative of -32/21*y**3 + 0 + 1/21*y**4 + 5*y + 128/7*y**2. Factor a(n).
4*(n - 8)**2/7
Let b(c) be the third derivative of c**7/420 + 11*c**6/240 + 9*c**5/40 + 25*c**4/48 + 2*c**3/3 - 60*c**2 + 2. Let b(o) = 0. Calculate o.
-8, -1
Let u = 485/681 - 86/227. Let 2/3 + u*d**2 - d = 0. Calculate d.
1, 2
Suppose 32 = 16*i - 8*i. Let s(n) be the second derivative of -1/5*n**6 - 1/10*n**5 + 1/2*n**i - 1/21*n**7 + 2/3*n**3 + 2*n + 0*n**2 + 0. Solve s(g) = 0.
-2, -1, 0, 1
Suppose -5*g - 3*j = -18 + 2, 5*g - j - 8 = 0. Factor 0*y**g + 5/3*y**5 + 0*y + 0 + 0*y**3 - 5/3*y**4.
5*y**4*(y - 1)/3
Let h(x) = -13*x**2 + 18*x + 1. Let l(s) = 2*s**2 - 2*s - 1. Let z(d) = h(d) + 6*l(d). Factor z(v).
-(v - 5)*(v - 1)
Let m(x) = x**2. Let q = -42 + 43. Let f(u) = -4*u**2 + 2*u - 4. Let l(j) = q*f(j) + 6*m(j). Factor l(d).
2*(d - 1)*(d + 2)
Let z be -2 + 5 + (-19)/38. Factor -5 + 15/2*s - 15/2*s**3 + 5/2*s**4 + z*s**2.
5*(s - 2)*(s - 1)**2*(s + 1)/2
Let n be (8/6)/(((-175)/(-21))/25). Let t(a) be the third derivative of -1/240*a**5 - 1/12*a**n + 0 - 2/3*a**3 - 6*a**2 + 0*a. Determine b so that t(b) = 0.
-4
Let w(h) be the first derivative of 25/2*h**2 + 5/4*h**4 - 9 - 10*h - 20/3*h**3. Determine c, given that w(c) = 0.
1, 2
Let i(t) be the second derivative of 1/54*t**4 + 26/27*t**3 - 31*t + 169/9*t**2 + 0. Factor i(q).
2*(q + 13)**2/9
Let u be 12/(-66) - 38/(-88). Let t be (-6)/21 - (-4)/(-42)*-3. Factor u*z**2 - 1/2*z + t.
z*(z - 2)/4
Let r(z) be the third derivative of -z**6/40 - z**5/5 - z**4/2 - 20*z**2 - 1. Solve r(n) = 0.
-2, 0
Let s(j) be the third derivative of 13*j**2 + 0 + 0*j - 1/720*j**6 - 1/180*j**5 + 1/18*j**3 + 1/144*j**4. Factor s(k).
-(k - 1)*(k + 1)*(k + 2)/6
Suppose -4*h = -451 + 451. Let a(c) be the second derivative of -1/165*c**6 + 1/55*c**5 + 0*c**4 + 13*c + 0*c**3 + h + 0*c**2. Determine f, given that a(f) = 0.
0, 2
Solve 44*u**2 - 32*u**3 - 24*u**2 + 72*u**2 - 72*u - 16*u + 28*u**3 = 0.
0, 1, 22
Suppose a - 1 - 104 = -4*f, 0 = 5*f - a - 138. Find n, given that -5*n**3 + 24*n + f*n - 46*n - 10*n**2 + 10 = 0.
-2, -1, 1
Let f(t) = 2*t + 2. Let l(g) = -g**2 - 34*g - 357. Let h(p) = 6*f(p) - 3*l(p). What is j in h(j) = 0?
-19
Solve -2*g - 3*g - 54*g**2 - 5*g**3 + 64*g**2 = 0.
0, 1
Suppose 4*j + b + 7 - 9 = 0, -8 = -2*j - 4*b. Let u(y) be the first derivative of 0*y + j*y**2 + 3 + 2/33*y**3. Determine q so that u(q) = 0.
0
Let b = 23130 - 23127. Let 8/13*f**2 - 8/13*f**b + 0*f + 2/13*f**4 + 0 = 0. What is f?
0, 2
Let f(i) be the second derivative of -i**4/54 - 20*i**3/27 + 7*i**2/3 - 47*i. Determine y so that f(y) = 0.
-21, 1
Let g = 397/3 - 395/3. Factor -g*o**4 + 2*o**2 + 0 - 4/3*o + 0*o**3.
-2*o*(o - 1)**2*(o + 2)/3
Let a(x) be the third derivative of -9*x**7/175 + x**6/40 + x**5/5 - x**4/8 - x**3/5 - 2*x**2 + x. Solve a(l) = 0 for l.
-1, -2/9, 1/2, 1
Let z be (-3 - (1 + 0))*(24 + 966/(-40)). Solve -z*s + 0 + 1/5*s**2 = 0.
0, 3
Let f be ((-288)/40 + 7)*0. Let p(d) be the second derivative of 3*d + 1/20*d**5 + 1/6*d**4 - 1/30*d**6 + 0*d**3 + 0*d**2 + f. Factor p(y).
-y**2*(y - 2)*(y + 1)
Let a = -60561/4 + 15141. Factor a*o + 3/2 - 3/4*o**3 - 3/2*o**2.
-3*(o - 1)*(o + 1)*(o + 2)/4
Suppose 0 - 17/7*y**2 - 4/7*y**3 - 6/7*y + y**4 = 0. What is y?
-1, -3/7, 0, 2
Suppose 6*u - 14 - 58 = 0. Let b be (3/u)/(6/16). Factor -32/3*n**2 - 16/3*n - b.
-2*(4*n + 1)**2/3
Let q(t) = -2*t**3. Let y be q(-1). Factor 8*r**2 + 11*r - 8*r**3 + 12*r**y - 3*r - 20*r**4.
-4*r*(r - 1)*(r + 1)*(5*r + 2)
Let n(k) be the third derivative of k**5/120 - k**4/4 - 2*k**2 - 16*k. Factor n(u).
u*(u - 12)/2
Suppose 0 = -10*f - 39*f + 98. Factor 2/7 + 4/7*p + 2/7*p**f.
2*(p + 1)**2/7
Let w(a) be the first derivative of -a**5/12 + 5*a**4/8 - 12*a**2 + 33. Let t(r) be the second derivative of w(r). Factor t(o).
-5*o*(o - 3)
Let y be 29/63 + (-96)/(-224). Suppose -17*o = -15*o. Suppose o + 4/9*l + 10/9*l**2 + 2/9*l**4 + y*l**3 = 0. Calculate l.
-2, -1, 0
Let r(h) = -13*h**2 + 104*h + 2. Let u be r(8). Let j(x) be the third derivative of 0*x**3 + 0*x**4 - 7*x**u + 0 - 1/540*x**6 + 0*x + 1/270*x**5. Factor j(d).
-2*d**2*(d - 1)/9
Let v = -56 + 61. Let o(u) be the second derivative of 3/5*u**5 + 1/15*u**6 - v*u + 13/6*u**4 + 4*u**2 + 4*u**3 + 0. Factor o(n).
2*(n + 1)**2*(n + 2)**2
Suppose -3*d - 15 = -6*d. Suppose -28 = -d*w - 13. Factor 0 - 10/3*r**w + 0*r + 8/3*r**4 + 2/3*r**2.
2*r**2*(r - 1)*(4*r - 1)/3
Let z be 143 + -143 + (-5)/(-1). Solve 30/13*y**3 - 10/13*y**z + 4/13*y**4 + 0 - 8/13*y + 8/13*y**2 = 0 for y.
-1, 0, 2/5, 2
Let n = -25/429 + 479/858. What is j in 7*j**2 + 11/2*j + 3/2 - 1/2*j**5 - n*j**4 + 3*j**3 = 0?
-1, 3
Suppose -61 + 91 = 3*n. Factor -n - 8 - 3*o**2 + 36 + 0*o**2 + 3*o.
-3*(o - 3)*(o + 2)
Let b(a) = -5*a**4 + 8*a**3 - 2*a**2 + 3. Let f(k) = -4*k**4 + 7*k**3 - 3*k**2 + k + 2. Suppose -5*i + 18 = -2. Let g(z) = i*f(z) - 3*b(z). Solve g(y) = 0.
1
Let b(w) be the second derivative of -w**5/140 - w**4/28 + 5*w**3/21 + 5*w - 92. What is g in b(g) = 0?
-5, 0, 2
Let r(s) = s**3 - 9*s**2. Let t be r(9). Find m such that -3/4*m**2 + 0 + t*m + 1/4*m**4 - 1/2*m**3 = 0.
-1, 0, 3
Let g(y) be the second derivative of -y**7/168 - y**6/10 - 33*y**5/80 + 19*y**4/24 + 11*y**3/2 + 9*y**2 - 5*y + 54. Suppose g(v) = 0. Calculate v.
-6, -1, 2
Let z(c) be the second derivative of -c**6/150 + 19*c**5/100 - 17*c**4/20 + 49*c**3/30 - 8*c**2/5 - 22*c. Suppose z(i) = 0. Calculate i.
1, 16
Suppose -9 = -q - 4*q 