 2)**2*(s - 1)/3
Let i(l) be the third derivative of 16/3*l**3 - 18*l**2 - 1/60*l**6 + 0*l - 2/3*l**4 - 7/30*l**5 + 0. Suppose i(a) = 0. What is a?
-4, 1
Suppose 14 = 7*q - 0. Suppose -3*a - 3*n = -18, q*a - 5*n - 6 = a. Factor -5*b**3 - a*b**3 + 4*b**4 + 2*b**3 + 2*b**2.
b**2*(b - 2)*(4*b - 1)
Let i(b) be the first derivative of -b**6/3240 + b**5/540 - b**3/3 - 19. Let w(u) be the third derivative of i(u). Factor w(s).
-s*(s - 2)/9
Let f be (-7)/28 + 14/(-8). Let a be f/3 + 2/2. Factor -a*b**4 + 0*b - b**3 + 0 - 2/3*b**2.
-b**2*(b + 1)*(b + 2)/3
Let f(q) = 11*q + 8. Let h be f(-6). Let l = h + 58. Factor 1/4*z**3 + 1/2*z**2 + 0*z + l.
z**2*(z + 2)/4
Suppose -g = 2*g + x - 11, -5*x - 21 = -4*g. Suppose 0 = 2*a - 4*a + g. Find i such that -4*i + 6*i**a - 5*i + 4 - 7 + 6 = 0.
1/2, 1
What is v in 6*v**2 + 1 - 9 + 0*v - 3*v**4 + 3*v + 6 + 3*v**5 - 6*v**3 - 1 = 0?
-1, 1
Let u be (4020/(-255) + 16)/((-6)/(-51)). Factor -2/3*n**u - 4*n - 6.
-2*(n + 3)**2/3
Suppose 32*j = 30*j - 5*y + 14, -3*j = -3*y. Let p(s) be the first derivative of -s**3 - 1/4*s**4 - j + 4*s + 0*s**2. Factor p(h).
-(h - 1)*(h + 2)**2
Suppose 62*u - 749 = 119. Let p(l) be the first derivative of 2/3*l**3 + 0*l + u - 2/3*l**2. Determine v, given that p(v) = 0.
0, 2/3
Solve 2320/3*h**4 + 32/3 - 400/3*h**5 + 2264/3*h**2 - 4324/3*h**3 + 592/3*h = 0.
-1/10, 2
Suppose -13*m + 4 + 22 = 0. Let h(n) be the second derivative of -1/60*n**5 + 0 + 5/36*n**4 - 7/18*n**3 + 1/2*n**m + 7*n. Factor h(r).
-(r - 3)*(r - 1)**2/3
Suppose 92/7*b**4 + 96/7*b**3 - 4/7*b**5 + 0 + 0*b + 0*b**2 = 0. Calculate b.
-1, 0, 24
Let x(w) be the second derivative of 147/20*w**5 + 0*w**4 + 0*w**3 - 18*w + 1/14*w**7 + 0 - 7/5*w**6 + 0*w**2. Let x(s) = 0. Calculate s.
0, 7
Let p be 3/((84/(-64))/(-7)). Let t be 4 + -4*(-4)/p. What is q in -t + 3*q**2 - 9*q + 8 - 3 = 0?
0, 3
Determine z so that -12*z - 3/2*z**2 - 21/2 = 0.
-7, -1
Let t(w) be the second derivative of -1/336*w**7 + 1/40*w**5 + 11*w - 1/8*w**2 + 1/48*w**4 + 0*w**6 - 1/16*w**3 + 0. Determine c so that t(c) = 0.
-1, 1, 2
Let l(p) = -2*p**2. Let f(y) = -648*y**3 + 2020*y**2 - 218*y + 6. Let m(n) = f(n) + 2*l(n). Determine o, given that m(o) = 0.
1/18, 3
Let v(n) = -5*n**2 - 12*n - 13. Suppose 10*h + 6 = 8*h. Let c(j) = 5*j**2 + 13*j + 12. Let m(b) = h*c(b) - 2*v(b). Determine o so that m(o) = 0.
-2, -1
Let s = 113 + -167. Let m be (-981)/s + 1/(-6). Suppose -4*c + m*c**3 + 17*c**3 - 31*c**3 = 0. What is c?
-1, 0, 1
Let o(h) be the first derivative of 1/24*h**3 + 0*h + 1/32*h**4 + 0*h**2 - 4. Factor o(a).
a**2*(a + 1)/8
Let n(a) be the second derivative of -1/7*a**3 + 0 - 1/28*a**4 + 8*a + 3/140*a**5 + 0*a**2. Determine i, given that n(i) = 0.
-1, 0, 2
Find n such that 12/7*n**2 - 12/7*n**4 + 9/7*n**5 + 0 - 3/7*n - 6/7*n**3 = 0.
-1, 0, 1/3, 1
Let g(n) = n**2 - n. Let j(r) = 363*r + 10800. Let c(f) = -3*g(f) - j(f). Suppose c(s) = 0. What is s?
-60
Let j be (1 - ((8 - 16) + 5)) + -1. Find p such that 8/7 - 8/7*p**2 + 4/7*p**j - 4/7*p = 0.
-1, 1, 2
Let s(x) be the third derivative of 2/5*x**3 + 10*x**2 - 1/25*x**5 + 1/60*x**4 + 0*x - 1/300*x**6 + 0. Solve s(b) = 0 for b.
-6, -1, 1
Let b = 228 + -228. Let k(d) be the first derivative of -5 - d**2 + b*d - 2/9*d**3. Find h, given that k(h) = 0.
-3, 0
Factor -r**2 - 1/3*r**3 + 0 - 2/3*r.
-r*(r + 1)*(r + 2)/3
Let k(y) be the third derivative of y**8/1176 + y**7/147 + 2*y**6/105 + 2*y**5/105 + 4*y**2 + 4. Suppose k(u) = 0. What is u?
-2, -1, 0
Let z(k) = 5*k**3 - 10*k**2 + 17*k - 8. Let v(o) = -42*o**3 + 80*o**2 - 136*o + 64. Let f(s) = 6*v(s) + 51*z(s). Find c, given that f(c) = 0.
1, 8
Let o(t) be the first derivative of -14 - 4/15*t**3 - 2/5*t**4 - 4/25*t**5 + 0*t**2 + 0*t. Let o(w) = 0. Calculate w.
-1, 0
Factor -1259*g**3 - 9120*g**2 + 124*g**3 + 1371*g - 413*g**3 + 69*g - 65*g**4 - 2*g**3.
-5*g*(g + 12)**2*(13*g - 2)
Let k be 4/10*(-5 + 10). Solve 8*b + 32 - 16 - 24 - 2*b**k = 0.
2
Let h be ((-4)/7)/((-14)/49). Suppose h*b + 10 = 3*m, -6*m = -4*m + 2*b. Find t, given that 2/9 + 2/3*t**4 + 8/3*t**m - 20/9*t**3 - 4/3*t = 0.
1/3, 1
Let s(x) be the third derivative of x**6/100 + 2*x**5/15 + 9*x**4/20 + 2*x**3/3 - x**2 + 48. Factor s(y).
2*(y + 1)*(y + 5)*(3*y + 2)/5
Let m(x) be the third derivative of -x**8/40320 - x**7/840 - x**6/40 - x**5/4 - 24*x**2. Let g(i) be the third derivative of m(i). Factor g(n).
-(n + 6)**2/2
Let f(n) = -5*n**4 - 2*n**3 + 31*n**2 + 152*n - 184. Let r(c) = 11*c**4 + 3*c**3 - 62*c**2 - 303*c + 369. Let b(p) = -9*f(p) - 4*r(p). Factor b(v).
(v - 5)*(v - 1)*(v + 6)**2
Let d(u) be the second derivative of u**6/105 + 3*u**5/70 - 2*u**4/21 - 14*u. Factor d(q).
2*q**2*(q - 1)*(q + 4)/7
Let q(m) be the second derivative of 19*m**5/20 - 17*m**4/12 - m**3/3 + 585*m. Factor q(b).
b*(b - 1)*(19*b + 2)
Let q(f) = 469*f - 1820. Let g be q(4). Factor 128 + 1/2*i**5 + 17/2*i**4 + 176*i**2 + g*i**3 + 256*i.
(i + 1)*(i + 4)**4/2
Let w(c) be the first derivative of -8 + 3*c + 0*c**3 + 3/2*c**4 - 3/5*c**5 - 3*c**2. Find j such that w(j) = 0.
-1, 1
Let u(k) be the second derivative of 2*k**7/21 + 4*k**6/15 - 12*k**5/5 + 14*k**4/3 - 10*k**3/3 - 14*k + 10. Factor u(h).
4*h*(h - 1)**3*(h + 5)
Suppose 0 = -5*k + 41 + 34. Let t be (k/60)/(15/12). Find n, given that 4/5*n**3 + 0*n + 0 + 4/5*n**2 + t*n**4 = 0.
-2, 0
Let j(h) be the second derivative of h**5/5 - 2*h**3 - 4*h**2 - 141*h. Factor j(l).
4*(l - 2)*(l + 1)**2
Let q be 68/(-240) - (1 + 40/(-30)). Let g(p) be the third derivative of 0*p + 9*p**2 - 3/8*p**4 + q*p**5 + p**3 + 0. Factor g(j).
3*(j - 2)*(j - 1)
Suppose -4*b + 24 = -x, -39 - 13 = -3*b + 5*x. Factor -8 + 1/2*o**3 + 7/2*o**2 + b*o.
(o - 1)*(o + 4)**2/2
Suppose -4*l - 3*z + 28 = 0, -2*l = -4*l + z + 4. Suppose -l*a + 22 + 2 = 0. Factor 12*n + 0*n**2 + a*n**2 - 3*n - 3*n**2.
3*n*(n + 3)
Let p(b) be the third derivative of 7/80*b**5 + 0*b**3 - 9/160*b**6 + 33*b**2 + 1/16*b**4 + 0 + 0*b. Factor p(n).
-3*n*(n - 1)*(9*n + 2)/4
Suppose o - 11*o + 180 = 0. Factor -o*s**2 + 15*s**2 + 9 + 2*s - 8*s.
-3*(s - 1)*(s + 3)
Let f(v) be the third derivative of -1/105*v**5 + 0 - 2/21*v**4 + 0*v + 6*v**2 - 8/21*v**3. Suppose f(k) = 0. Calculate k.
-2
Let p(w) be the first derivative of 2*w**3 - 9/2*w**2 + 0*w - 1/4*w**4 - 24. Solve p(h) = 0 for h.
0, 3
Suppose -3193*n = -3242*n + 147. Solve -1/4*c**2 - 13/4*c - n = 0.
-12, -1
Suppose 0 = 4*g - 6 - 6. Suppose g*r - 6 = 6. Factor q**3 - 10*q**r + 2*q**2 + q**5 + 12*q**4 - 2*q**2.
q**3*(q + 1)**2
Let k = 11598 - 34793/3. Factor h**2 + k*h + 0 + 2/3*h**3.
h*(h + 1)*(2*h + 1)/3
Let r(m) be the first derivative of -m**6/2 - 18*m**5/5 + 18*m**4 - 26*m**3 + 27*m**2/2 - 36. Find o, given that r(o) = 0.
-9, 0, 1
Let m(u) be the first derivative of 2*u**6/3 + 8*u**5/5 - 9*u**4 - 24*u**3 - 328. Suppose m(n) = 0. What is n?
-3, -2, 0, 3
Let l(a) be the third derivative of -a**6/180 + a**5/30 + a**4/4 - 2*a**3/3 - 8*a**2. Let g(u) be the first derivative of l(u). Factor g(v).
-2*(v - 3)*(v + 1)
Let j = 47 - 30. Suppose -5*r + 14 = 4*h, 4*r + 6 - j = -3*h. Factor -2*p + 0*p**2 + 4*p + 3 - 4 - p**r.
-(p - 1)**2
Let z(v) be the second derivative of -3/10*v**4 + 17*v + 8/5*v**3 + 0 - 16/5*v**2 + 1/50*v**5. Factor z(h).
2*(h - 4)**2*(h - 1)/5
Suppose -58*x = -92*x + 102. Find b such that 0*b + 0 - 2/7*b**x + 2/7*b**4 + 2/7*b**5 - 2/7*b**2 = 0.
-1, 0, 1
Suppose 12*i**2 + 161*i + 76 + 5*i**3 + 48*i**2 + 19*i + 84 = 0. Calculate i.
-8, -2
Let v(b) be the second derivative of -3*b**7/28 + 7*b**6/6 + 5*b**5/8 - 35*b**4/12 - 4*b**3/3 + 32*b + 3. Find z, given that v(z) = 0.
-1, -2/9, 0, 1, 8
Let k(q) be the third derivative of q**5/150 - q**4/4 + 14*q**3/15 + 158*q**2 + 2. Factor k(c).
2*(c - 14)*(c - 1)/5
Suppose 0 = -54*g - 140 + 302. Suppose -1/4*j**g - 2*j - 1 - 5/4*j**2 = 0. What is j?
-2, -1
Let p(b) be the second derivative of -7*b + 5/66*b**4 + 0 - 1/33*b**3 - 2/55*b**5 + 0*b**2. Factor p(i).
-2*i*(i - 1)*(4*i - 1)/11
Let d(u) be the second derivative of -845*u**7/42 - 455*u**6/6 - 355*u**5/4 - 125*u**4/12 + 100*u**3/3 - 10*u**2 + 108*u. Find z, given that d(z) = 0.
-1, 2/13
Factor 4/21*y + 2/21*y**2 - 2/7.
2*(y - 1)*(y + 3)/21
Suppose 58*y - 62*y + f = 2, 5*y + 5*f = 10. Determine x, given that -8/11*x**3 + 0*x + y - 2/11*x**2 + 8/11*x**5 + 2/11*x**4 = 0.
-1, -1/4, 0, 1
Let h(z