 - -7228. Let d(p) be the third derivative of -3*p**2 + 1/18*p**q + 1/135*p**5 + 0*p + 0*p**3 + 0. Factor d(h).
4*h*(h + 3)/9
Let s(p) be the first derivative of -p**5/5 + 2*p**4 + 10*p**3/3 - 4*p**2 - 9*p + 2948. Find q such that s(q) = 0.
-1, 1, 9
Let x be 52/12 - 2/6. Solve 28*f - 15 - 5 + x*f**2 + 68 = 0 for f.
-4, -3
Factor 0 + 132/5*h + 4/5*h**3 + 179/5*h**2.
h*(h + 44)*(4*h + 3)/5
Factor -20/3*r**3 - 14005/3*r**2 + 0 - 3500/3*r.
-5*r*(r + 700)*(4*r + 1)/3
Let s(z) be the first derivative of 29 + 8/69*z**3 + 2/23*z + 4/23*z**2. Let s(p) = 0. What is p?
-1/2
Let j(h) be the first derivative of -27*h**4/4 - 86*h**3 - 93*h**2/2 + 378*h - 9089. Suppose j(v) = 0. Calculate v.
-9, -14/9, 1
Let i be (-41)/287*(-5)/50. Let j(c) be the second derivative of 0*c**3 + i*c**7 + 0*c**4 + 0 + 0*c**2 - c + 0*c**5 + 0*c**6. Suppose j(q) = 0. What is q?
0
What is f in 72*f**4 + 529*f**3 + 208*f**2 - 479*f**3 - 4*f**5 - 326*f**3 = 0?
0, 1, 4, 13
Suppose -5*j = 3*v, -2*v - 10 = -20. Let o(s) = 29*s**2 + 32*s - 33. Let d(f) = -13*f**2 - 16*f + 17. Let t(i) = j*o(i) - 7*d(i). Find q such that t(q) = 0.
-5, 1
Let n(d) be the first derivative of d**6/10 - 9*d**5/5 + 21*d**4/2 - 10*d**3 - 225*d**2/2 - 20*d - 58. Let c(r) be the first derivative of n(r). Factor c(p).
3*(p - 5)**2*(p - 3)*(p + 1)
Let k(s) be the second derivative of -27/4*s**4 + 0 + 243/2*s**3 - 2187/2*s**2 + 123*s + 3/20*s**5. Factor k(l).
3*(l - 9)**3
Suppose -w + 5*r = -98, -5*w + 462 = -3*r + 390. Let 0 - 5/2*j**4 + 5/2*j**2 - 3/2*j**w + 2*j**5 - 1/2*j = 0. What is j?
-1, 0, 1/4, 1
Let x = 179 + -173. Let i(t) = -7*t**2 + 5*t - 4. Let p(u) = 26*u**2 - 19*u + 15. Let c(d) = x*p(d) + 22*i(d). Factor c(f).
2*(f - 1)**2
Let c(l) be the second derivative of -41/3*l**4 - 1078/15*l**6 + 98/3*l**7 + 24*l - 4/3*l**3 + 2 + 0*l**2 - 273/5*l**5. Suppose c(a) = 0. Calculate a.
-1/7, 0, 2
Let b(u) = -74 + 3*u**2 - 74 - 13*u + 154. Let m be b(6). Let -4 - m*g**3 + 71*g**3 - 34*g**3 - 6*g**2 + 9*g = 0. Calculate g.
1, 4
Let t(b) be the first derivative of -9*b**4/2 + 262*b**3/3 + 536*b**2/9 + 40*b/3 + 1. Factor t(u).
-2*(u - 15)*(9*u + 2)**2/9
Let s be ((-2)/36)/(2288/(-1056)). Let u(f) be the second derivative of 21*f + 1/13*f**3 - 1/130*f**5 + 0*f**2 + 0 + s*f**4. Factor u(b).
-2*b*(b - 3)*(b + 1)/13
Let h = -1656/37 + 3423/74. Let d(l) be the first derivative of 4 + 1/5*l**5 + 1/4*l**4 + 0*l + h*l**2 - 5/3*l**3. Factor d(o).
o*(o - 1)**2*(o + 3)
Let g(n) be the first derivative of -n**4/3 + 22*n**3 + 68*n**2 + 50*n - 69. Let i(h) be the first derivative of g(h). Let i(a) = 0. Calculate a.
-1, 34
Let k(j) be the second derivative of -1/165*j**6 + 0 - 5/66*j**4 - 2/33*j**3 - 2/55*j**5 - 143*j + 0*j**2. Find q, given that k(q) = 0.
-2, -1, 0
Factor -5/4*w**3 + 50 + 45*w + 15/2*w**2.
-5*(w - 10)*(w + 2)**2/4
Let z(c) be the first derivative of -3*c**4/4 - 23*c**3 - 120*c**2 - 228*c + 2486. Factor z(n).
-3*(n + 2)**2*(n + 19)
Let p be 6/33 - 40/(-22). Suppose 2*s = -p*s + b + 11, -2*b = -2*s + 4. Factor 3*k - k - k - 6 + 4*k**2 - s*k**2.
(k - 2)*(k + 3)
Factor -3/8*j**2 - 45387/2 - 369/2*j.
-3*(j + 246)**2/8
Suppose 29*d - 30*d - 257 = 4*o, -3*d - 3*o = 735. Let c = d - -244. Factor -1/2*y**4 + 1/2*y**5 + 0 + 0*y**2 - y**c + 0*y.
y**3*(y - 2)*(y + 1)/2
Let q(t) be the second derivative of -1/14*t**4 + 0*t**3 + 1/28*t**5 + 0*t**2 + 2*t - 1/210*t**6 + 125. Solve q(g) = 0 for g.
0, 2, 3
Let h = 123308 - 616539/5. Factor -h*k**2 - 22/5 + 23/5*k.
-(k - 22)*(k - 1)/5
Let i(z) be the second derivative of -z**4/6 - 2*z**3/3 + 8*z**2 - 91*z - 3. Suppose i(y) = 0. Calculate y.
-4, 2
Let m = 186/415 - 4/83. Let x be 177/30 + -6 + (-8 - (-85)/10). Find u, given that -x*u - 2/5*u**2 + 2/5 + m*u**3 = 0.
-1, 1
Let o(j) = -2*j**3 + 452*j**2 + 474*j - 4540. Let q be o(227). Solve q + y**3 + 6*y**2 + 4*y - 1/2*y**5 - 3/2*y**4 = 0 for y.
-2, -1, 0, 2
Suppose 3*x + 1613 = 3*j + 4790, -5*j - 5297 = -3*x. Let t = j - -1063. Factor 1/2 - 1/2*z + 1/2*z**t - 1/2*z**2.
(z - 1)**2*(z + 1)/2
Let k(n) be the first derivative of n**4/7 - 20*n**3/21 - 96*n**2/7 + 144*n + 2370. Solve k(c) = 0.
-7, 6
Let f(m) be the first derivative of 5*m**3/3 - 505*m**2 - 1015*m + 1127. Suppose f(k) = 0. Calculate k.
-1, 203
Factor 3302 - 4*u**3 + 0*u**3 + 280*u**2 - 5168*u + 4302 + 1644.
-4*(u - 34)**2*(u - 2)
Let x(y) = y**4 - 4*y**3 + 9*y**2 - 4*y. Let a = -3 - -5. Let m(z) = -z**3 + z**2 - z. Let p(l) = a*x(l) + 4*m(l). Factor p(j).
2*j*(j - 3)*(j - 2)*(j - 1)
Determine k, given that -5/3*k**3 - 1/3*k**4 + 2*k**2 + 0 + 0*k = 0.
-6, 0, 1
Let m(k) be the first derivative of -2/5*k**2 - 4/5*k + 1/5*k**3 + 1/5*k**4 - 139 + 1/25*k**5. What is p in m(p) = 0?
-2, -1, 1
Let x = -42 - -67. Factor -36*k + 7 - 5*k**3 - 44*k + x*k + 13 - 5*k**4 + 45*k**2.
-5*(k - 1)**3*(k + 4)
Let b(d) be the third derivative of -46*d**7/105 - 113*d**6/30 + 746*d**5/15 - 446*d**4/3 + 48*d**3 + 2*d**2 + 2232. Let b(l) = 0. What is l?
-9, 2/23, 2
Let u be (-6)/(-5) - 16/(-20). Let t(w) = -w**2 - 4*w + 2. Let n be t(-3). Solve 20*f**u - 10*f**3 - 18*f**2 + 16*f + 3*f**4 + 8 + 2*f**n - 5*f**4 = 0 for f.
-1, 2
Factor 203/3*p - 34 - 100/3*p**2 - 1/3*p**3.
-(p - 1)**2*(p + 102)/3
Let y = 3488 + -3486. Let q(i) be the first derivative of 8 + 0*i**3 + 5/12*i**y + 0*i - 5/24*i**4. Suppose q(u) = 0. Calculate u.
-1, 0, 1
Let m(q) be the second derivative of -q**6/210 - q**5/105 - 39*q**2/2 - 52*q. Let h(t) be the first derivative of m(t). Let h(o) = 0. Calculate o.
-1, 0
Let a = 4465/34 + -2122/17. Factor -11 - a*t - 1/2*t**2.
-(t + 2)*(t + 11)/2
Let s(c) = -2*c**2 + 4*c + 2. Suppose 5*g = 11*g. Let p be s(g). Suppose -2 + 11 + 50*z**p - 33*z + 3*z**5 - 3*z**4 - 8*z**2 - 18*z**3 = 0. Calculate z.
-3, 1
Let j be 2 + (4/(-14) - (-5)/(2625/360)). Let n(d) be the first derivative of 17 + 48/5*d + j*d**2 + 1/5*d**3. Factor n(l).
3*(l + 4)**2/5
Let i(p) be the second derivative of p**6/150 + p**5/10 + p**4/20 - 21*p**3/5 - 3240*p. Solve i(w) = 0.
-7, -6, 0, 3
Let t(h) = -h**2 - 6*h + 16. Let f be t(6). Let p = 61 + f. Let o(m) = -9*m**2 + 9*m - 5. Let k(r) = 4*r**2 - 4*r + 2. Let a(j) = p*k(j) + 2*o(j). Factor a(l).
2*l*(l - 1)
Let t(g) = 0*g**3 - 9*g - 66 - 21*g**3 - 13*g**2 + 22*g**3. Let o be t(14). Factor -2/7*z**5 - 12/7*z**3 - 2/7*z + 0 + 8/7*z**o + 8/7*z**2.
-2*z*(z - 1)**4/7
Let d be 2*(-4)/(-4) + 0 - 0. Factor -2973 + 50*f - 3*f**2 + 2853 - d*f**2 + 0*f**2.
-5*(f - 6)*(f - 4)
Let t = 1930 + -1912. Let x be 2 - (-3)/t*-12. Find i such that x*i**2 + 2/17 - 8/17*i**3 + 6/17*i = 0.
-1/2, 1
Suppose -63 = 4*q + 71 - 142. Let b(v) be the first derivative of 4/21*v**3 - 12/7*v**q - 4*v + 26. Find x, given that b(x) = 0.
-1, 7
Suppose -2493*y + 2785*y - 876 = 0. Factor 1/5*o**4 + 3/5*o + 0 - 3/5*o**y - 1/5*o**2.
o*(o - 3)*(o - 1)*(o + 1)/5
Factor 0 + 0*u + 7371/2*u**3 - 41405/2*u**2 + 177/2*u**4 + 1/2*u**5.
u**2*(u - 5)*(u + 91)**2/2
Let f(t) be the first derivative of -t**3/9 + 24*t**2 + 145*t/3 + 11504. Factor f(y).
-(y - 145)*(y + 1)/3
Let q = 492375 - 492372. Factor 0 + 1/9*i**2 + 7/9*i**4 + 0*i + 1/3*i**5 + 5/9*i**q.
i**2*(i + 1)**2*(3*i + 1)/9
Let x(r) be the third derivative of -63845*r**5/3 + 1130*r**4/3 - 8*r**3/3 + 1427*r**2 - r + 1. Factor x(j).
-4*(565*j - 2)**2
Let v = 403076/15 + -26871. Let m(u) be the third derivative of 19*u**2 - 2/3*u**3 - 17/12*u**4 - 7/60*u**6 + 0*u - v*u**5 + 0. Solve m(j) = 0.
-2, -1, -1/7
Let a(j) be the second derivative of -j**4/3 + 616*j**3/3 + 1866*j**2 + 678*j. Suppose a(z) = 0. What is z?
-3, 311
Let j = -10016101/1116 - -8975. Let h = 31243/5580 - j. Solve -i**3 - h*i**2 + 18/5 - 33/5*i = 0.
-3, 2/5
Let s(i) = i**4 - i**3 + i**2 + i + 5. Let g(r) = r**4 - 41*r**3 + 61*r**2 + 221*r - 270. Let a(m) = -g(m) - 4*s(m). Factor a(b).
-5*(b - 5)**2*(b - 1)*(b + 2)
Let m(z) = -z**3 - 986*z**2 - 320777*z - 34965793. Let o(u) = u**2 - 2*u + 2. Let l(v) = -m(v) - 5*o(v). Find b such that l(b) = 0.
-327
Let a(f) be the first derivative of -f**6/14 + 57*f**5/35 - 297*f**4/28 + 81*f**3/7 - 380. Factor a(v).
-3*v**2*(v - 9)**2*(v - 1)/7
Let t(g) = 5*g**2 + 7*g - 30. Suppose 7*b = 9*b + 2. Let r(i) = -6*i + 7*i - 3*i + 3*i. Let l(d) = b*t(d) + 2*r(d). Suppose l(u) = 0. Calculate u.
-3, 2
Let k(q) be the third derivative of 15*q**8/112 + 67*q**7/105 - 5*q**6/12 - 7*