derivative of -b**4/36 - 8*b**3/27 + 221*b**2/18 + 76*b/3 + 2271. Factor l(k).
-(k - 12)*(k + 1)*(k + 19)/9
Let p(x) be the first derivative of 5*x**3/6 - 15*x**2/4 - 2635*x - 5142. Factor p(q).
5*(q - 34)*(q + 31)/2
Let s = -2054/3 - -745/3. Let p = s + 437. Factor 4/9 + p*r + 2/9*r**2.
2*(r + 1)*(r + 2)/9
Let t(y) be the second derivative of -97 + 22/9*y**2 - 11/27*y**4 + y - 1/27*y**3 + 1/90*y**5. Find g, given that t(g) = 0.
-1, 1, 22
Let s(t) = -13*t**2 + 123*t - 719. Let v(x) = 3*x**2 - 31*x + 180. Let a(b) = 8*s(b) + 36*v(b). Solve a(o) = 0 for o.
7, 26
Let a(l) be the second derivative of -l**4/18 + 19*l**3/9 + 124*l**2 - 15*l - 9. Factor a(n).
-2*(n - 31)*(n + 12)/3
Let k(p) be the third derivative of p**8/3696 - 5*p**7/231 + 191*p**6/440 + 65*p**5/33 + 169*p**4/66 - 5*p**2 + 42*p. Factor k(x).
x*(x - 26)**2*(x + 1)**2/11
Suppose 8*i - 13*i = 6*i. Factor -109*m**3 + 18*m + i + 0 + 22*m + 16*m**2 + 107*m**3.
-2*m*(m - 10)*(m + 2)
Let u(b) = -5*b**3 + 1111*b**2 + 4669*b + 4680. Let g(v) = 60*v**3 - 13345*v**2 - 56025*v - 56160. Let d(a) = 3*g(a) + 35*u(a). Factor d(k).
5*(k - 234)*(k + 2)**2
Let p(m) be the first derivative of -3*m**6/2 + 213*m**5/10 - 147*m**4/8 - 71*m**3/2 + 165*m**2/4 + 3322. Solve p(z) = 0 for z.
-1, 0, 5/6, 1, 11
What is k in -3/5*k**3 + 117/5*k - 108/5*k**2 + 222/5 = 0?
-37, -1, 2
Let o(r) = 11*r**4 - 481*r**3 + 2561*r**2 - 3815*r + 1700. Let j(l) = -9*l**4 + 471*l**3 - 2562*l**2 + 3816*l - 1698. Let x(b) = -4*j(b) - 3*o(b). Factor x(p).
3*(p - 141)*(p - 4)*(p - 1)**2
Let i(r) be the third derivative of r**8/84 + r**7/35 - 11*r**6/60 - 7*r**5/15 + r**4 + 8*r**3/3 + 1249*r**2. What is o in i(o) = 0?
-2, -1/2, 1, 2
Let m(y) be the third derivative of 2*y**7/105 + 19*y**6/90 - 13*y**5/15 - 35*y**4/2 - 200*y**3/9 + 62*y**2 - 11*y. What is i in m(i) = 0?
-5, -1/3, 4
Find n such that 1456*n - 2*n**4 - 53*n**3 + 78*n**3 + 913 - 1873 + 107*n**3 - 906*n**2 + 162*n**2 = 0.
2, 60
Let h(k) be the first derivative of -k**5/140 + 37*k**4/28 - 1369*k**3/14 - 119*k**2/2 + 41. Let r(i) be the second derivative of h(i). Factor r(l).
-3*(l - 37)**2/7
Factor 2920/7*g + 8/7 + 266450/7*g**2.
2*(365*g + 2)**2/7
Let i(b) be the first derivative of 95*b**6/8 - 21*b**5/5 - 297*b**4/16 + 7*b**3 + 3*b**2/2 + 4522. Suppose i(r) = 0. Calculate r.
-1, -2/19, 0, 2/5, 1
Let w(c) be the second derivative of -c**5/5 - 128*c**4/3 + 518*c**3/3 - 260*c**2 + 1055*c. Let w(z) = 0. What is z?
-130, 1
Solve -1/2*w**2 + 29*w**3 - 117/4*w + 1/4*w**5 + 15*w**4 - 29/2 = 0.
-58, -1, 1
Let f(p) be the first derivative of -1/12*p**4 + 1/720*p**6 + 0*p**2 + 5*p**3 - 17 + 1/80*p**5 + 0*p. Let q(v) be the third derivative of f(v). Factor q(y).
(y - 1)*(y + 4)/2
Let b(p) = -p**3 - 6*p**2 - 4*p + 3. Let d be b(-4). Let i = 1 - d. Let 2*v**2 - 10 - 24*v - 12 + 6*v**3 + i = 0. Calculate v.
-2, -1/3, 2
Let o = -14809 - -14825. Let f be (-1 - 1*-1) + 14. Factor -f*w**2 - 14*w - o + 45*w**2 - 18*w**2 - 11*w**2.
2*(w - 8)*(w + 1)
Let i(f) be the second derivative of 0*f**2 - 2/15*f**6 + 16*f + 2/21*f**7 + 0*f**3 - 1 + 0*f**5 + 0*f**4. Find x, given that i(x) = 0.
0, 1
Let d(g) = g**4 - g + 1. Let q(r) = 6*r**4 - 5*r + 5. Suppose -6*p + 2*p - 110 = 2*k, -3*k = 4*p + 165. Let i = k + 56. Let c(j) = i*q(j) - 5*d(j). Factor c(b).
b**4
Let o be 0*(5 + (248/(-36) - -2)). Let n(b) be the second derivative of o*b**3 + 0 + 1/45*b**6 + 0*b**2 - 1/18*b**4 + 0*b**5 + 16*b. Find h such that n(h) = 0.
-1, 0, 1
Let h(o) be the third derivative of 0*o + 1/24*o**5 - 17/48*o**4 + 1/2*o**3 - 36 - 2*o**2. Factor h(f).
(f - 3)*(5*f - 2)/2
Let l(i) be the third derivative of i**5/15 - 53*i**4 + 16854*i**3 - 2*i**2 - 242*i. Factor l(x).
4*(x - 159)**2
Let d = -388 - -390. Let w(t) be the first derivative of t + d*t**2 + 12 - 13/16*t**4 + 11/20*t**5 - 23/12*t**3 + 5/24*t**6. Solve w(m) = 0 for m.
-2, -1/5, 1
Let w(x) = x**2 + 15*x - 20. Let d be w(-15). Let z = 47 + d. Factor 7*p**4 + z*p**3 + 3*p**5 - 5*p**4 - p**4 + 6*p + 14*p**4 + 21*p**2.
3*p*(p + 1)**3*(p + 2)
Let p = 1974842/5 - 394966. Suppose -9/5*j**3 + 0 - 3/5*j**4 + p*j + 0*j**2 = 0. Calculate j.
-2, 0, 1
Let r(x) = x**3 + x**2 - 6*x + 39. Let d be r(-12). Let v = 27989/19 + d. Factor v*l**3 + 0 + 0*l + 18/19*l**2.
2*l**2*(l + 9)/19
Let v be (-68)/(-2) - (-3)/((-3)/2). Suppose 8*t - v = 8. Factor -18*q + 10*q**2 + 10 + 20*q**3 - 5*q**t + 3*q - 20*q**2.
-5*(q - 1)**3*(q + 1)*(q + 2)
Let p(o) = -36*o**3 - 671*o**2 - 1319*o - 654. Let h(q) = -21*q**3 - 336*q**2 - 660*q - 327. Let k(v) = 5*h(v) - 3*p(v). Factor k(g).
3*(g + 1)**2*(g + 109)
Let y(t) be the third derivative of t**5/180 - 41*t**4/24 + 61*t**3/9 - 116*t**2 + 8*t. Determine c, given that y(c) = 0.
1, 122
Let p(s) be the second derivative of 0 - 8/3*s**4 + 6/5*s**5 + 18*s**2 - 4*s**3 + 3*s - 2/15*s**6. Solve p(h) = 0.
-1, 1, 3
Suppose -20*x - 5*p - 95 = -21*x, -2*p - 8 = 0. Suppose -26*f + x = -29. Determine y so that 21/2*y**3 + 30*y + 12 + 27*y**2 + 3/2*y**f = 0.
-2, -1
Let t(s) = -7*s + 282. Let i be t(40). Let w(r) be the first derivative of 1/3*r + 1/9*r**3 + 1/3*r**i - 4. Factor w(m).
(m + 1)**2/3
Let p(a) be the second derivative of -a**5/10 + a**4/6 + 26*a**3/3 + 24*a**2 + 1979*a. Factor p(m).
-2*(m - 6)*(m + 1)*(m + 4)
What is y in 1/3*y**5 + 4 - 2/3*y**3 + 4*y**4 + 1/3*y - 8*y**2 = 0?
-12, -1, 1
Let u(i) = 22*i**3 + 507*i**2 - 1042*i + 10. Let m(y) = -26*y**3 - 506*y**2 + 1044*y - 12. Let f(q) = 5*m(q) + 6*u(q). Let f(g) = 0. Calculate g.
-258, 0, 2
Let h(p) be the first derivative of -5/4*p**3 - 1/8*p**4 - 29 - 3*p**2 + 12*p. Let n(m) be the first derivative of h(m). Factor n(v).
-3*(v + 1)*(v + 4)/2
Let y(z) = z. Let p be y(3). Factor 19*x**3 + p*x - 42*x**3 + x + 19*x**3.
-4*x*(x - 1)*(x + 1)
Let d(x) be the second derivative of 0*x**4 + 0 - 2/105*x**6 + 1/147*x**7 + 0*x**3 - 90*x - 3/70*x**5 + 0*x**2. Determine t, given that d(t) = 0.
-1, 0, 3
Determine a so that -15/2 + 96*a**3 + 66*a - 168*a**2 = 0.
1/4, 5/4
Let z(s) = 4*s**2 + 1927*s - 6. Let p(x) = 4*x**2 + 1928*x - 8. Let w(g) = -3*p(g) + 4*z(g). Determine k, given that w(k) = 0.
-481, 0
Let j(y) = 4*y**2 - 34*y - 10. Let u(s) = 11*s - 12 + s**2 - 2*s**2 + 15. Let a(t) = -6*j(t) - 20*u(t). Let a(d) = 0. Calculate d.
-4, 0
Let i be (-6)/3*-1 + 5. Let k be (-6)/(-24) - 0 - i/(-4). Find c, given that -173*c - c**4 - c**2 + k*c**3 + 179*c - 6*c**3 = 0.
-3, -2, 0, 1
Let j(i) = -2*i - 69. Let s be j(-36). Factor 4*v**3 - 4*v**2 - v**4 + 11*v**2 - 9*v**3 + 2*v**2 + 13*v**s.
-v**2*(v - 9)*(v + 1)
Let u be -1*2 + 4 + 2 + -3. Let o be (-9 + 4 - -3)/(u/(-36)). Factor 30*h**2 - o + 72 + 5*h**3.
5*h**2*(h + 6)
Let n(x) = -13872*x - 69358. Let q be n(-5). Suppose 6 + 3/4*o**q + 3/4*o**3 - 15/2*o = 0. What is o?
-4, 1, 2
Let r(g) be the first derivative of -g**4/10 - 4*g**3/5 + 9*g**2/5 + 28*g/5 - 9968. Factor r(p).
-2*(p - 2)*(p + 1)*(p + 7)/5
Let l = -9 + 39. Let s be ((-16)/(-12))/(1/l). Factor s*m + 0*m**2 - 37*m - m**3 - 2 + 0*m**2.
-(m - 1)**2*(m + 2)
Let d(l) be the second derivative of -3/2*l**2 + 0 - 43*l - 1/4*l**4 - 5/4*l**3. Factor d(c).
-3*(c + 2)*(2*c + 1)/2
Suppose 13*s + 330 = 28*s. Suppose 19 = -u + s. Let -66*l**u - 2 - 18*l**4 + 22*l - 97/2*l**2 = 0. Calculate l.
-2, 1/6
Let f(p) be the third derivative of p**7/210 - 17*p**6/60 + 83*p**5/20 - 9*p**4 + 64*p**2 + 23*p. Suppose f(u) = 0. Calculate u.
0, 1, 9, 24
Let a = 196 + -190. Factor 3889*z - 4*z**3 - a*z**2 - 3891*z + 0*z**2.
-2*z*(z + 1)*(2*z + 1)
Let q(j) be the second derivative of -25/6*j**3 + 42*j - 1 - 5/12*j**4 - 15*j**2. Determine m so that q(m) = 0.
-3, -2
Solve 92 + 114*s**3 - 47*s**2 - s**2 - 208*s**3 - 42*s + 92*s**3 = 0.
-23, -2, 1
Suppose -4*c = 10*b - 14*b, 0 = b + 3*c - 12. Let o(f) be the second derivative of -4/9*f**b - 11*f - 1/18*f**4 + 0*f**2 + 0. Let o(v) = 0. What is v?
-4, 0
Let s = -118841 + 237683/2. Suppose 2*c + 2*j - 10 = 0, -5*c - j - 20 = -5*j. Determine z, given that s*z**4 + c - 1/3*z**5 + 0*z**2 + 0*z + 0*z**3 = 0.
0, 3/2
Factor 2382/5*n - 472827/5 - 3/5*n**2.
-3*(n - 397)**2/5
Factor 12670578/7 + 2/7*x**2 - 10068/7*x.
2*(x - 2517)**2/7
Suppose -2*l - 64 = -5*w - 6, 4*l + 106 = 9*w. Let -24/7*j**4 - w*j**3 + 0 - 176/21*j**2 - 32/21*j = 0. Calculate j.
-4/3, -1/4, 0
Let l(a) = 5*a**4 - 315*a**3 - 3720*a**2 + 2605*a 