- 184*q + 20.
4*(23*q - 5)**2/5
Let x(b) be the first derivative of 1/35*b**5 + 0*b - 1/7*b**4 - 4 - 1/7*b**2 + 5/21*b**3. Factor x(g).
g*(g - 2)*(g - 1)**2/7
Let j(d) be the second derivative of 5*d**4/48 - 25*d**3/2 - 305*d**2/8 + 210*d. Factor j(r).
5*(r - 61)*(r + 1)/4
Let z be (-231)/(-352)*4 + (-3)/(-8). Factor 0*t + 0*t**2 + 0 + 3/5*t**4 - 3/5*t**z.
3*t**3*(t - 1)/5
Let v(h) be the first derivative of -h**5 + 0*h + 5/3*h**3 + 8 - 5/2*h**2 + 5/4*h**4. Solve v(z) = 0.
-1, 0, 1
Let x(f) be the third derivative of -5*f**8/336 - 2*f**7/105 + 71*f**6/600 + f**5/30 - 7*f**4/30 - 4*f**3/15 + 14*f**2. Let x(m) = 0. Calculate m.
-2, -2/5, 1
Suppose 460 = 5*k - 4*s, -5*s = -k - 4*s + 93. Let z = k + -86. Factor 3/7*d**3 - 3/7*d + 0*d**z + 0.
3*d*(d - 1)*(d + 1)/7
Find a such that -20*a**2 + 24 - 116/3*a + 8/3*a**3 = 0.
-2, 1/2, 9
Solve -32*q - 7*q**2 - 256/7 = 0 for q.
-16/7
Let l(s) be the second derivative of -49*s**5/90 - 7*s**4/27 - s**3/27 - 39*s. Factor l(o).
-2*o*(7*o + 1)**2/9
Let w(h) = 7*h**2 - 11*h - 15*h**2 + 5 + 10*h**2. Let u(f) = 6*f**2 - 34*f + 14. Let b(p) = -3*u(p) + 10*w(p). Factor b(a).
2*(a - 2)**2
Let k(d) = 27*d**2 + 55*d - 93. Let t(g) = 5*g**2 + 11*g - 18. Let n(s) = -2*k(s) + 11*t(s). Factor n(p).
(p - 1)*(p + 12)
Determine q, given that 13/2*q**4 + 0*q**2 + 3/2*q**3 + 0*q + 2*q**5 + 0 = 0.
-3, -1/4, 0
Let c(a) = a**3 - 6*a**2 + 4. Let z be c(6). Let s be z/(-16) - (-52)/16. Factor -32*v**2 - 76*v**4 - 7*v**2 - v**2 - 132*v**s - 64*v**5 - 84*v**4 - 4*v.
-4*v*(v + 1)**2*(4*v + 1)**2
Let w(n) be the third derivative of 2/75*n**5 + 2/525*n**7 - 1/45*n**4 - 1/2520*n**8 + 0 - 13/900*n**6 + 0*n**3 - 5*n**2 + 0*n. Let w(k) = 0. What is k?
0, 1, 2
Let a(v) = v**3 - 10*v**2 + v - 7. Let f be a(10). Suppose -m = m - f*m. Factor 0*x + m - 3/4*x**3 + 3/4*x**2.
-3*x**2*(x - 1)/4
Let z(v) be the first derivative of 5 - 8/3*v**3 + 0*v**2 + 9*v**4 + 10/3*v**6 - 48/5*v**5 + 0*v. Factor z(m).
4*m**2*(m - 1)**2*(5*m - 2)
Suppose -255 + 39 = 12*g. Let d be g/(-15) + (-27)/45. Factor 0 + 3/5*f + d*f**2.
3*f*(f + 1)/5
Let b(k) = -k**3 + k**2 - 2. Let u(t) = 7*t**4 + 4*t**3 - 23*t**2 + 8*t + 8. Let m(o) = 2*b(o) + u(o). Factor m(i).
(i - 1)**2*(i + 2)*(7*i + 2)
Let s(b) = 7*b**4 + 9*b**3 + 26*b**2 + 8*b + 8. Let j(o) = 3*o**4 + 3*o**3 + 9*o**2 + 3*o + 3. Let l(t) = -8*j(t) + 3*s(t). Factor l(d).
-3*d**2*(d - 2)*(d + 1)
Let a(i) be the first derivative of i + 2 - 19/48*i**4 + 1/2*i**2 + 1/6*i**3 - 1/8*i**5. Let y(q) be the first derivative of a(q). Factor y(d).
-(d + 2)*(2*d - 1)*(5*d + 2)/4
Let i(p) be the first derivative of 8*p**3/5 + 9*p**2 + 54*p/5 - 144. Suppose i(y) = 0. What is y?
-3, -3/4
Let i be ((-5)/10)/(1/2). Let a be (-4)/2 + (-7)/i. Determine q so that 2 - 3*q**2 - 16*q**4 + 14*q + 32*q**a + 8*q**2 - 46*q**3 + 9*q**2 = 0.
-1, -1/4, 1
Suppose 0 = 31*t - 38*t + 7. Let f be ((0/3)/(16/(-8)))/t. Determine z, given that 2*z**2 + f + 2/3*z = 0.
-1/3, 0
Let u = 558 + -1673/3. Solve -u*k + 0 + 1/3*k**4 + k**2 - k**3 = 0 for k.
0, 1
Let o = -14 - 1. Let g(h) = -h**2 - 8*h + 16. Let f(x) = -3*x**2 - 33*x + 63. Let i(s) = o*g(s) + 4*f(s). Solve i(m) = 0.
2
Determine j, given that -7*j**3 + j**3 + 3*j**4 - 3*j**5 + 9*j**4 + 0*j**5 - 3*j**3 = 0.
0, 1, 3
Let m(p) = 5*p**5 + 4*p**4 - p**3 + 4*p**2 - p - 2. Let o(d) = 9*d**5 + 6*d**4 - 3*d**3 + 8*d**2 - d - 4. Let h(j) = -10*m(j) + 6*o(j). Factor h(x).
4*(x - 1)**3*(x + 1)**2
Let h(j) be the first derivative of j**7/105 - 2*j**6/75 + j**4/15 - j**3/15 + 11*j + 13. Let g(c) be the first derivative of h(c). Factor g(y).
2*y*(y - 1)**3*(y + 1)/5
Determine d so that 1/6*d**3 - 19/6*d - 4/3*d**2 - 5/3 = 0.
-1, 10
Let j = 35 + 1. Let s be (27/j)/((-1)/(-4)). Find c, given that 3*c + 0*c**2 - s*c**3 + 3/2 - 3/2*c**4 = 0.
-1, 1
Let r(b) be the second derivative of -b**6/330 - 12*b**5/55 - 575*b**4/132 + 8*b**3/11 + 288*b**2/11 - 312*b. Solve r(s) = 0 for s.
-24, -1, 1
Let w(l) be the second derivative of 11/24*l**4 + l**3 + 9/8*l**2 + 1/120*l**6 + 1/10*l**5 + 46*l + 0. Factor w(c).
(c + 1)**2*(c + 3)**2/4
Let 0 - 1/5*p**3 - 31/5*p + 32/5*p**2 = 0. Calculate p.
0, 1, 31
Suppose -3*t - 3*o + 18 = 0, 37*o + 15 = t + 41*o. Determine b, given that 0 + 2/5*b**t - 6/5*b**2 + 4/5*b = 0.
0, 1, 2
Let z(r) be the third derivative of -r**6/40 - 6*r**5/5 - 18*r**4 - 128*r**3 - 65*r**2 - r. Factor z(f).
-3*(f + 4)**2*(f + 16)
Let x = -1889/6 + 1909/6. What is j in 0 - x*j + 5/3*j**2 = 0?
0, 2
Let w = 1498 - 22469/15. Let k(a) be the third derivative of 1/3*a**4 - w*a**5 + 0 - 5*a**2 + 2*a**3 + 0*a. Factor k(q).
-4*(q - 3)*(q + 1)
Let v = -34 - -37. Find q, given that -4*q**4 - 5*q**3 - 5*q**5 + q**4 + 13*q**4 + 0*q**v = 0.
0, 1
Factor 21/5*j**3 + 18*j - 321/5*j**2 + 0.
3*j*(j - 15)*(7*j - 2)/5
Suppose 15 = 4*t + 3. Suppose t*w + 72 = 4*w. Factor -20*v**4 - 3*v + 24*v**4 + 27*v**2 - w*v**3 + 44*v**4.
3*v*(v - 1)*(4*v - 1)**2
Factor 127*t - 31*t - 16*t + 8*t**2 - 32*t - 12*t**3 + 0*t**4 - 2*t**4.
-2*t*(t - 2)*(t + 2)*(t + 6)
Let d(w) be the third derivative of w**8/84 + 4*w**7/105 - w**6/10 + 6*w**2. Solve d(s) = 0 for s.
-3, 0, 1
Factor 9/4*q - 1/4*q**5 + 6*q**3 + 13/2*q**2 + 3/2*q**4 + 0.
-q*(q - 9)*(q + 1)**3/4
Let x(m) = -m**2 - 1. Let s(c) = -4*c**2 + 39*c - 45. Let f(w) = 3*s(w) - 15*x(w). Factor f(a).
3*(a - 1)*(a + 40)
Let q = 16 - 127/8. Let h(n) = 5*n**2 - 38*n + 24. Let g be h(7). Factor 5/8*s**2 + 3/8 - 7/8*s - q*s**g.
-(s - 3)*(s - 1)**2/8
Let r be (-24)/3 - (200/(-5))/5. Factor r + 0*j**3 - 1/3*j**4 + 0*j**2 + j**5 + 0*j.
j**4*(3*j - 1)/3
Let s(u) = u**3 - 6*u**2 + u - 3. Let t be s(7). Let z be 3 + -1 + t + 8. Let z*a + 2*a**2 - 5*a**2 - 66*a = 0. Calculate a.
-1, 0
Let j be 125 - ((-322)/77 + (-4)/(-22)). Let o = j + -129. Solve 0*q**3 + o*q**4 + 1/5*q**5 + 0*q + 0*q**2 + 0 = 0 for q.
0
Let p = 74054/66681 + 4/7409. Find g, given that 0 + 8/9*g**3 + p*g**2 + 2/9*g = 0.
-1, -1/4, 0
Let n be (-4)/(48/(-20)) - (-62)/(-186). Determine h, given that n*h - 8 + 4/3*h**2 = 0.
-3, 2
Let c(o) = 2*o**2 + 9*o - 2. Let z be c(-5). Suppose -4*a = -3*p + 26, -z*p + 15 = 2*p - a. Factor 1/4*u**p - 1/4*u**5 - 3/4*u**3 + 0*u + 3/4*u**4 + 0.
-u**2*(u - 1)**3/4
Let n(o) be the first derivative of o**3 + 12*o**2 - 60*o + 57. What is l in n(l) = 0?
-10, 2
What is k in k**3 + 2071328 - 2071328 + 7*k + 8*k**2 = 0?
-7, -1, 0
Let l(p) be the third derivative of -p**7/4410 - p**6/420 - p**5/105 - 3*p**4/8 + 14*p**2. Let x(i) be the second derivative of l(i). Factor x(w).
-4*(w + 1)*(w + 2)/7
Let i be (2/6)/(1 + 60/(-108)). Let y(t) be the first derivative of -5/8*t**2 - i*t + 2 - 1/12*t**3 + 1/16*t**4. Find h, given that y(h) = 0.
-1, 3
Let b(v) be the third derivative of -v**8/84 - 2*v**7/35 + v**6/30 + 11*v**5/15 + 2*v**4 + 8*v**3/3 + 100*v**2. Factor b(u).
-4*(u - 2)*(u + 1)**3*(u + 2)
Let a = 53 + -47. What is j in -a*j**4 + 4*j - 10*j**2 - 67 + 42*j**2 - 4*j**3 - 32*j + 73 = 0?
-3, 1/3, 1
Let u(p) = 3*p**3 - 2*p**3 - 6*p**2 + 3*p - 4*p**3. Let g(m) = m**4 + 4*m**3 + 7*m**2 - 4*m. Suppose 12*t - 15 = 21. Let z(d) = t*g(d) + 4*u(d). Factor z(b).
3*b**2*(b - 1)*(b + 1)
Let x = 852/485 + -54/97. Factor -x*z**2 + 0*z**3 - 4/5*z + 0 + 2/5*z**4.
2*z*(z - 2)*(z + 1)**2/5
Let u = 367/39 - 1516/273. Factor 3/7*q**3 + u - 15/7*q**2 + 9/7*q.
3*(q - 3)**2*(q + 1)/7
Let j(d) be the first derivative of d**4/8 + 91*d**3 + 24843*d**2 + 3014284*d - 353. Determine q, given that j(q) = 0.
-182
Factor -434284 - 80*z**2 + 32448*z - 23*z**2 + z**3 - 209*z**2 + 253169 - 943749.
(z - 104)**3
Let d(k) be the first derivative of -k**7/14 + 3*k**5/4 - 2*k**3 + 3*k - 4. Let n(c) be the first derivative of d(c). Determine t, given that n(t) = 0.
-2, -1, 0, 1, 2
Let g(l) be the first derivative of -1/6*l**4 + 2/9*l**3 - 31 + 1/3*l**2 - 2/3*l. Solve g(f) = 0.
-1, 1
Let 2/11*o**2 + 46/11*o + 4 = 0. What is o?
-22, -1
Let v = 42 + -29. Suppose v*r = 12 + 14. Factor -1/2*m**r + 0*m + 1/2.
-(m - 1)*(m + 1)/2
Find h such that -75*h + 53/9*h**2 - 81 - 1/9*h**3 = 0.
-1, 27
Let i = -423/110 + 294/55. Factor -i*b**2 - 1/2*b**3 - 3/2*b - 1/2.
-(b + 1)**3/2
Let u be (-55)/110*(-1 + -2). Let -3/2*n**5 + 3/2*n**4 + 0*n + 0 + u*n**3 - 3/2*n**2 = 0. Calculate n.
-1, 0, 1
Find c, given that 4/7*c**3 - 96/7*c**2 + 48*c + 448 = 0.
-4, 14
Let f = -3184 - -66866/21. Fact