r r.
-67, -2
Let -7/2*m**3 - 188*m**2 + 493/2*m - 55 = 0. Calculate m.
-55, 2/7, 1
Factor 8*k + 158/3*k**2 + 0 - 9*k**3.
-k*(k - 6)*(27*k + 4)/3
Let k(o) be the third derivative of o**6/60 - 52*o**5/15 + 805*o**4/3 - 8464*o**3 + 169*o**2. Solve k(a) = 0.
12, 46
Let c(n) = -2*n**3 + n**2 + 5*n + 4. Let p be c(-1). Factor 16 + 64*d - 43*d**3 + 13*d**3 + 14*d**3 - 4*d**p.
-4*(d - 2)*(d + 2)*(4*d + 1)
Let f = 61 - 53. Let l(d) = 4*d**2 + 16*d + 10. Let p(z) = 11*z**2 + 45*z + 30. Let v(i) = f*l(i) - 3*p(i). Factor v(a).
-(a + 2)*(a + 5)
Let f(u) be the first derivative of u**4/2 + 272*u**3/3 + 5005*u**2 + 50700*u + 5933. Factor f(g).
2*(g + 6)*(g + 65)**2
Let b(u) be the first derivative of -36*u - 88/3*u**3 - 48*u**2 - 4/5*u**5 - 8*u**4 + 192. Solve b(x) = 0 for x.
-3, -1
Let u = 5258 + -5256. Let o(g) be the second derivative of -u*g + 1/3*g**4 - 2*g**2 + 1/3*g**3 + 0 - 1/10*g**5. Factor o(m).
-2*(m - 2)*(m - 1)*(m + 1)
Factor 152/5*k + 8/15 + 2166/5*k**2.
2*(57*k + 2)**2/15
Let h = 24 - 22. Suppose 3*m + h*n = -n, -m = 3*n. Suppose 31*d**3 - 5*d**2 + 3*d + m*d - 27*d**3 - d - d**4 = 0. Calculate d.
0, 1, 2
Let d(q) be the second derivative of q**6/15 + 13*q**5/10 - q**4/6 - 13*q**3/3 - 29*q - 7. Factor d(m).
2*m*(m - 1)*(m + 1)*(m + 13)
Let j(m) = 2*m**2 - 565*m + 33121. Let t be j(83). Factor 11/3*k**t + 0 - 3*k**3 + 1/3*k**2 - 4/3*k**5 + 1/3*k.
-k*(k - 1)**3*(4*k + 1)/3
Suppose -y = 3 - 5. Let d = 67483/4 + -16870. Find v such that 3/4 + 3/4*v - 3/4*v**3 - d*v**y = 0.
-1, 1
Let n = -213618 + 640855/3. Factor -n + 2/3*h - 1/3*h**2.
-(h - 1)**2/3
Let c be -19*4/247*26/(-4). Determine q, given that c*q**4 + 2/3*q**5 + 0 - 2*q**2 + 2/3*q**3 - 4/3*q = 0.
-2, -1, 0, 1
Let n(z) be the third derivative of -z**6/960 - 127*z**5/80 - 16129*z**4/16 - 2048383*z**3/6 + 336*z**2. What is w in n(w) = 0?
-254
Let u be (14/(-5))/((-504)/720). Suppose 3*o + 14*x = 10*x + 29, -3*o = -u*x + 11. Suppose 0 + 3/7*w**o - 3/7*w**2 + 0*w = 0. What is w?
0, 1
Solve -920 + 1486 + 244*j**2 + 514 + 1854 + 666 - 4*j**3 - 3840*j = 0.
1, 30
Let n be 4 - 2877*(-4)/(-864). Let o = 418/9 + n. Factor 3/8*l**3 - 57/8*l**2 + o*l - 243/8.
3*(l - 9)**2*(l - 1)/8
Let d(c) be the third derivative of c**7/4410 - 11*c**6/126 + 605*c**5/42 - 31*c**4/24 + 3*c**2 - 6*c. Let n(j) be the second derivative of d(j). Factor n(z).
4*(z - 55)**2/7
Let n be (-132)/330*((-3)/3)/60. Let t(r) be the third derivative of n*r**5 + 1/5*r**3 - 1/15*r**4 + 0*r + 0 + 3*r**2. Factor t(j).
2*(j - 3)*(j - 1)/5
Solve 319*a - 74*a**2 - 79*a + 53*a**4 + 864 - 28*a**3 - 279*a**4 + 224*a**4 = 0 for a.
-9, -4, 3
Let c(k) = k**2 + 2. Let n(t) = 4*t**2 + 10. Let l = -823 - -818. Let a(w) = l*c(w) + n(w). Factor a(v).
-v**2
Let s be (-26)/(-559) + 1704/344. Solve 4/5*b**s - 20*b**4 - 2816/5*b**2 + 2048/5*b + 0 + 864/5*b**3 = 0.
0, 1, 8
Let k be (17 - 1)*(264/48 - 6) - -8. Factor k + 1/4*u**2 + 3*u.
u*(u + 12)/4
Let w = -1085 + 1008. Let n = w - -235/3. Factor -4*a**2 + 0*a**3 - 8/3*a + n*a**4 + 0.
4*a*(a - 2)*(a + 1)**2/3
Let u(p) be the third derivative of 11*p**6/300 - 31*p**5/150 + p**4/3 + 2075*p**2. Factor u(v).
2*v*(v - 1)*(11*v - 20)/5
Let y be 2*(-3 + 2)/(4/(-14)). Let o be -2 + (3 + y - 6). Factor 0 + 0*h**o - 1/5*h + 1/5*h**3.
h*(h - 1)*(h + 1)/5
Suppose 0 = -9*b + 19*b - 50. Suppose 4 - b*f**2 - 16 + 1 + 1 - 15*f = 0. What is f?
-2, -1
Let z(c) = c + 4. Let i be z(-2). Let l be ((3/12)/(-1))/(((-861)/252)/41). Factor -5/3*y + y**i + 2/3*y**l - 2.
(y + 1)*(y + 2)*(2*y - 3)/3
Let -6*g**4 - 2766 - 13836*g - 5583/2*g**3 - 23571/2*g**2 = 0. What is g?
-461, -2, -1/4
Let k(p) be the third derivative of -4*p**7/315 + 3*p**6/20 - p**5/45 - 3*p**4 + 8*p**3 - 14*p**2 - 78*p. Suppose k(a) = 0. Calculate a.
-2, 3/4, 2, 6
Suppose 50 = 26*b - 28. Factor -68*g**2 - 49*g**3 - 8*g**3 - 4*g**5 - 24*g - 27*g**4 - 9*g**b.
-g*(g + 2)**3*(4*g + 3)
Let z(v) be the second derivative of 2*v**7/21 + 22*v**6/15 + 23*v**5/5 - 35*v**4/3 - 7*v + 183. Factor z(b).
4*b**2*(b - 1)*(b + 5)*(b + 7)
Let o = 679 - 676. Let n(p) be the second derivative of 0*p**2 + 17*p - 1/3*p**4 + 0 + 1/5*p**5 - 4/3*p**o. Factor n(t).
4*t*(t - 2)*(t + 1)
Let v be (-3 + -39)/((-9)/6). Suppose 5*b + 122 = 4*r + 28, -b + v = r. Suppose 28 + 46 + 24*l + 3*l**2 - r = 0. Calculate l.
-4
Let i(k) be the first derivative of -k**4/16 - 459*k**3/4 - 632043*k**2/8 - 96702579*k/4 - 1068. Factor i(n).
-(n + 459)**3/4
Factor 53/2*r + 1/2*r**2 + 0.
r*(r + 53)/2
Let q(v) be the first derivative of -v**7/1680 + 3*v**6/40 - 81*v**5/20 + 243*v**4/2 - v**3 + 11*v - 5. Let t(z) be the third derivative of q(z). Factor t(a).
-(a - 18)**3/2
Let o(l) = 7*l**2 - 140*l + 50. Let z be o(28). Let w = 1623 - z. Factor 14/9*v**w - 4/9*v**2 + 0 + 0*v + 8/3*v**4 + 2/3*v**3.
2*v**2*(v + 1)**2*(7*v - 2)/9
Let v(o) be the second derivative of 0*o**2 + 112*o - 2/3*o**6 + 0 + 2/21*o**7 + 5/3*o**4 + o**5 - 4*o**3. Let v(q) = 0. What is q?
-1, 0, 1, 2, 3
Let x be 7/(7/(-6))*(-97)/291. Let o(q) be the second derivative of 1/230*q**5 + 1/69*q**3 + 0*q**x - 1/69*q**4 - 9*q + 0. Factor o(l).
2*l*(l - 1)**2/23
Let o be (-76)/(-247) - (-352)/(-1040)*-5. Factor 13/9*v + 0 + 1/9*v**o.
v*(v + 13)/9
Suppose -6*v + 31 = 4*w - v, 4*v + 4 = 0. Let s be 14/(-21) + 33/w. Find c, given that 6*c**3 + 3*c**2 - c**s - 4*c**3 = 0.
-3, 0
Let g(i) be the third derivative of -i**5/90 + 64*i**4/9 - 16384*i**3/9 - 328*i**2. Factor g(p).
-2*(p - 128)**2/3
Factor 11262/7*s**2 - 42277548/7*s - 1/7*s**3 + 52903305064/7.
-(s - 3754)**3/7
Let a(t) be the first derivative of t**4/3 - 14*t**3/3 + 20*t**2 + 73*t - 53. Let h(w) be the first derivative of a(w). Factor h(z).
4*(z - 5)*(z - 2)
Let l(v) = 55*v + 571. Let z be l(-10). Let a be 10/(-35)*(z/12)/(-1). Let a + b + 1/2*b**2 = 0. What is b?
-1
Let j(z) be the third derivative of -1/60*z**6 + 1/105*z**7 + 0*z**3 + 43*z**2 + 0*z - 1/6*z**5 - 1/4*z**4 + 0. Let j(l) = 0. Calculate l.
-1, 0, 3
Let d(p) be the third derivative of -11449*p**5/45 - 535*p**4/18 - 25*p**3/18 - 1824*p**2. Find x such that d(x) = 0.
-5/214
Let t(r) be the second derivative of r**5/100 - r**4/4 - 2*r**3/15 + 6*r**2 - 262*r - 2. Factor t(a).
(a - 15)*(a - 2)*(a + 2)/5
Let k(d) = 2*d**4 - 5*d**3 - 9*d**2 + 5*d + 32. Let r(h) = 3*h**4 - 8*h**3 - 14*h**2 + 8*h + 46. Let p(b) = 7*k(b) - 5*r(b). Let p(z) = 0. Calculate z.
-1, 1, 6
Suppose 0 = -4*x + 4*y - 20, 44757 = 3*x + 5*y + 44708. Factor 0 - 4/5*j**2 + 0*j + 6/5*j**x - 2/5*j**4.
-2*j**2*(j - 2)*(j - 1)/5
Suppose -60 = -5833*h + 5818*h. Let u(x) be the first derivative of 0*x**5 - 1/10*x**h + 0*x**3 + 1/10*x**2 + 0*x + 1/30*x**6 + 19. Factor u(k).
k*(k - 1)**2*(k + 1)**2/5
Let s(a) be the second derivative of a**7/273 + a**6/195 - 3*a**5/65 - 2*a**4/39 + 8*a**3/39 + 2687*a. Determine d so that s(d) = 0.
-2, 0, 1, 2
Let b(j) be the first derivative of j**5/15 - 2*j**4/3 - j**3/9 + 4*j**2/3 + 7682. Suppose b(c) = 0. What is c?
-1, 0, 1, 8
Let b(t) be the first derivative of t**5/10 - 7*t**4/8 - 3*t**3 - 553. Factor b(s).
s**2*(s - 9)*(s + 2)/2
Let c(k) be the first derivative of -5*k**3/3 - 95*k**2 - 680*k + 601. Determine z, given that c(z) = 0.
-34, -4
Let a(u) be the third derivative of u**5/45 - 4*u**4/3 + 238*u**3/9 + 4024*u**2. Factor a(v).
4*(v - 17)*(v - 7)/3
Let r = 526974 + -2634849/5. Factor 6/5*n + r*n**2 + 0 + 3*n**3.
3*n*(n + 1)*(5*n + 2)/5
Let a = 14186 + -8197. Find i, given that -a*i**2 + 5954*i**2 - 60*i - 7*i**3 + 2*i**3 = 0.
-4, -3, 0
Let j(i) be the first derivative of -i**4/4 + 3*i**3/2 + 6*i**2 - 14*i - 55. Let w(k) be the first derivative of j(k). Solve w(t) = 0 for t.
-1, 4
Let c(u) = 7*u**3 + 25*u**2 - 42*u - 255. Let f(n) = 20*n**3 + 76*n**2 - 124*n - 764. Let x(b) = -8*c(b) + 3*f(b). Solve x(w) = 0.
-7, -3, 3
Suppose -36 = 174*m - 176*m + 5*j, m + 9 = -2*j. Find y, given that 94/7*y**2 - 64/7*y - 22/7 - 8/7*y**m = 0.
-1/4, 1, 11
Let k(l) be the third derivative of -l**7/105 - l**6/20 + l**4/3 - 468*l**2. Factor k(v).
-2*v*(v - 1)*(v + 2)**2
Let t(c) be the first derivative of 2*c**3/21 - 370*c**2/21 - 496*c/21 - 1111. What is p in t(p) = 0?
-2/3, 124
Let r(q) be the third derivative of q**5/60 - q**4/24 - 5*q**3 + 24*q**2 - 14. Find w, given that r(w) = 0.
-5, 6
Let p(d) = -2*d**5 - 94*d**4 - 185*d**3 - 5*d**2 - 5*d. Let y(f) = -