t -22/9*f**3 + 0*f - 4/3*f**4 - 2/9*f**5 + 0 - 4/3*f**z = 0.
-3, -2, -1, 0
Let r be (-632)/316*(24/(-28))/((-220)/(-231)). Let a be (1 - 2)*(-2 - 1). Find l, given that -3/5*l**5 - 6/5*l**a + 12/5*l**2 + r*l - 12/5*l**4 + 0 = 0.
-3, -1, 0, 1
Let t(q) = 12*q - 39. Let w be t(22). Let r be 6/w*-5 + (-6)/(-20). Determine s so that 1/2*s**3 + 1/6*s - 1/2*s**2 + 0 - r*s**4 = 0.
0, 1
Let d(t) be the second derivative of t**7/490 - t**6/140 - t**5/20 - t**4/14 + 5*t**2 - t - 15. Let k(g) be the first derivative of d(g). Solve k(c) = 0.
-1, 0, 4
Factor -8/3*s**2 + 2116/3 - 4228/3*s.
-4*(s + 529)*(2*s - 1)/3
Determine p so that 155 - 3125/4*p**2 + 1390*p + 95/4*p**3 = 0.
-2/19, 2, 31
Factor -1/3*a**3 - 28/3 - a**2 + 8*a.
-(a - 2)**2*(a + 7)/3
Suppose -481*b + 475*b + 42 = 0. Let p(f) be the third derivative of 0*f**3 - 1/140*f**b + 0 - 3/16*f**4 + 0*f - 9*f**2 - 1/16*f**6 - 7/40*f**5. Solve p(z) = 0.
-3, -1, 0
Let b = 128 + 42. Suppose 48*l = b - 26. Factor -10/7*n**l - 2/7*n**4 + 0 - 16/7*n**2 - 8/7*n.
-2*n*(n + 1)*(n + 2)**2/7
Let n be 168/15 - (-264)/(-120). Factor -n + 75/2*s - 33/2*s**2.
-3*(s - 2)*(11*s - 3)/2
Let l(b) be the third derivative of -1/108*b**6 + 1/90*b**5 + 0*b + 108*b**2 + 0 + 1/9*b**4 + 4/27*b**3. Determine v, given that l(v) = 0.
-1, -2/5, 2
Let m(s) be the second derivative of s**6/90 + 7*s**5/15 - s**4/12 - 41*s**3/9 + 28*s**2/3 + 472*s + 4. Solve m(a) = 0 for a.
-28, -2, 1
Let y(f) = -8*f**2 - 9682*f - 11703122. Let x(c) = -7*c**2 - 9681*c - 11703122. Let g(r) = 6*x(r) - 5*y(r). Factor g(z).
-2*(z + 2419)**2
Let c(n) = n**3 + 15*n**2 + 3*n - 294. Let w be c(-13). Factor -4*r**3 + 12/5*r**2 + 0 + 0*r + 4/5*r**w + 4/5*r**4.
4*r**2*(r - 1)**2*(r + 3)/5
Let z = -1/6056 - -27287/211960. Let k(x) be the third derivative of x**2 + z*x**7 + 6*x**3 - 17/20*x**5 + 3/5*x**6 + 0*x - 5/2*x**4 + 5. Factor k(p).
3*(p + 1)*(p + 3)*(3*p - 2)**2
Let t(q) be the second derivative of -q**5/20 - 7*q**4/12 + 20*q**3/3 - 22*q**2 + 3*q + 24. Factor t(d).
-(d - 2)**2*(d + 11)
Let w = 118 - 116. Suppose -2*p + w*m = 6, -8*p + 4*p + 5*m - 17 = 0. Find j, given that -3/2*j + 0 - 17/4*j**p + 7/4*j**4 + 4*j**3 = 0.
-3, -2/7, 0, 1
Let c(v) be the third derivative of v**8/73920 - v**6/7920 - 11*v**4/8 - 112*v**2. Let p(w) be the second derivative of c(w). Factor p(n).
n*(n - 1)*(n + 1)/11
Let m(s) be the first derivative of 2/21*s**3 + 1/28*s**4 + 0*s + 0*s**2 + 68. Factor m(c).
c**2*(c + 2)/7
Let -4/3*g**2 + 928*g - 161472 = 0. Calculate g.
348
Let g(y) be the third derivative of 0*y**3 + 0*y**7 + 1/504*y**8 + 4/45*y**5 + 0 + 2*y - 1/30*y**6 - 1/12*y**4 - 36*y**2. Factor g(o).
2*o*(o - 1)**3*(o + 3)/3
Let a(n) = 147*n**2 - 11787*n + 35178. Let k(f) = -61*f**2 + 4715*f - 14071. Let g(s) = 5*a(s) + 12*k(s). Factor g(o).
3*(o - 782)*(o - 3)
Let v(s) be the second derivative of -s**6/45 - 11*s**5/6 + 119*s**4/6 - 545*s**3/9 + 244*s**2/3 + 86*s + 9. Suppose v(q) = 0. What is q?
-61, 1, 4
Let p(k) be the third derivative of -k**5/330 + 5*k**4/44 - 50*k**3/33 - 155*k**2. Factor p(m).
-2*(m - 10)*(m - 5)/11
Suppose 4*f - w - 36 = 172, -2*w = 2*f - 94. Let d be f/306 - ((-6)/(-4) + -2). Solve -4/3 + 2/3*p**3 + 4/3*p**2 - d*p = 0.
-2, -1, 1
Let a be (-38)/180 + (-138)/(-621). Let h(p) be the third derivative of 0*p + 64/9*p**3 + 4/9*p**4 + 0 + a*p**5 + 12*p**2. Factor h(q).
2*(q + 8)**2/3
Let y(k) be the third derivative of -k**5/270 - k**4/108 + 70*k**3/9 + 1337*k**2 + k. Factor y(m).
-2*(m - 14)*(m + 15)/9
Let n(a) be the first derivative of -a**3/15 - 14*a**2/5 - 36*a - 1547. Factor n(d).
-(d + 10)*(d + 18)/5
Factor -21559*c + 2625 - 127*c**2 - 122*c**2 + 5*c**3 + 19434*c - 256*c**2.
5*(c - 105)*(c - 1)*(c + 5)
Determine v so that -408*v + 164*v**2 + 14*v**4 + 82*v**2 + 254*v**2 + 58 - 186*v**3 + 22 = 0.
2/7, 1, 2, 10
Let a be (358 - 9)*7/49*5 + -9. What is b in 72/7 + a*b**2 + 696/7*b = 0?
-6/29
Let a(r) be the first derivative of r**6/960 + r**5/64 - 3*r**4/8 - 6*r**3 - 69. Let y(v) be the third derivative of a(v). Factor y(x).
3*(x - 3)*(x + 8)/8
What is y in -29/3*y**2 + 1/3*y**3 - 10*y + 0 = 0?
-1, 0, 30
Factor -4370908/3 - 21321*z**2 + 619/6*z**3 - 1/6*z**4 + 4434562/3*z.
-(z - 206)**3*(z - 1)/6
Let i = 1022 - 1024. Let j be i/(-2) + (-36)/(-12). Factor 0 + j*p - 2/5*p**2.
-2*p*(p - 10)/5
Let -67/8*b - 17/2 + 1/8*b**2 = 0. What is b?
-1, 68
Suppose 119*k = 59*k + 58*k. Let r(d) be the first derivative of -1/2*d**4 - 2/3*d**2 + 2 - 10/9*d**3 + k*d. Let r(g) = 0. What is g?
-1, -2/3, 0
Let v(n) be the second derivative of -n**6/5 + 271*n**5/50 - 196*n**4/5 + 1028*n**3/15 - 48*n**2 - 210*n - 4. What is w in v(w) = 0?
2/5, 2/3, 5, 12
Let z = -145299 + 145301. Find l such that 0 + 2/5*l**z - 8/5*l = 0.
0, 4
Let f(o) = 12*o**2 + o**3 + 10 + 19*o + 2 - 20. Let j be f(-10). Find z, given that 36*z**3 + 7*z**2 + 48*z**4 + 10*z**5 - j*z**2 + 3*z**2 + 10*z**5 = 0.
-1, -2/5, 0
Let z(w) be the first derivative of 5*w**3/3 + 270*w**2 + 535*w + 53. Determine i so that z(i) = 0.
-107, -1
Factor -38 - 44/3*h - 2/3*h**2.
-2*(h + 3)*(h + 19)/3
Let c(n) = n**3 - 15*n**2 - 53*n - 13. Let d be c(18). Factor 6*a - a + 11*a**3 + d*a**3 - 11*a**3 - a**2 - 9*a**2.
5*a*(a - 1)**2
Find f, given that -11/4*f**2 + 1/4*f**3 + 6*f + 0 = 0.
0, 3, 8
Let q(b) = -4*b**2 + 4084*b - 1040404. Let h(m) = -12*m**2 + 12253*m - 3121213. Let p(a) = 4*h(a) - 13*q(a). Suppose p(v) = 0. What is v?
510
Let d be (-112)/(-21)*(-23)/2898*-81. Determine v so that 54/7 + d*v + 2/7*v**2 = 0.
-9, -3
Suppose -4*o + 8 = -5*n + 17, -3*n = 3*o + 27. Let q(c) = -c**2 - 8*c - 10. Let i be q(o). Factor -14 - 19*t**2 + 4*t**i + 5 + 12*t**3 + 21*t - 9*t**3.
3*(t - 3)*(t - 1)**2
Let g(r) be the second derivative of -1/4*r**5 - 1/24*r**6 - 45*r + 0 - 5/6*r**3 + 33/2*r**2 - 5/8*r**4. Let y(s) be the first derivative of g(s). Factor y(m).
-5*(m + 1)**3
Suppose 0 = -5*m + 10 - 15. Let y be m + (-112)/(-20) + 9/(-15). Factor -7 + 10 - y*p + 4*p**2 - 3 - p**3.
-p*(p - 2)**2
Let c(f) be the second derivative of 275*f**4/72 - 155*f**3/9 + 35*f**2/3 + 1897*f. Factor c(w).
5*(w - 2)*(55*w - 14)/6
Suppose 7*k - 48 = 5*k + 4*x, 2*k + 5*x - 3 = 0. Suppose k*d - 58 + 2 = 0. Let 1/4*i**5 - 1/2*i**d + 1/2*i**2 + 0*i**3 - 1/4*i + 0 = 0. Calculate i.
-1, 0, 1
Let n be -10 + 32 + 13 + -29 + -3. Solve -2/3*o**2 + 2/3*o**4 + 0 - 2/3*o**n + 2/3*o = 0 for o.
-1, 0, 1
Let t(p) = -8*p**2 - 14928*p + 14107524. Let c(s) = s**2 - 8*s + 1. Let x(v) = 12*c(v) + t(v). Solve x(j) = 0.
1878
Suppose -55*h + 14*h + 7 + 11*h - 2 + 45*h**2 = 0. Calculate h.
1/3
Let l(p) be the third derivative of p**5/270 - 19*p**4/108 + 70*p**3/27 + 4988*p**2. What is r in l(r) = 0?
5, 14
Let v(y) be the first derivative of 2873*y**6 + 33384*y**5/5 - 552*y**4 - 416*y**3/27 + 16*y**2/9 + 2794. Let v(c) = 0. What is c?
-2, -2/51, 0, 2/39
Factor 1/2*b**2 + 0 + 217/2*b.
b*(b + 217)/2
Let j(t) be the third derivative of 0*t**3 + 3/8*t**4 + 0*t + 30*t**2 + 1/4*t**5 + 1/210*t**7 + 7/120*t**6 + 0. Let j(a) = 0. What is a?
-3, -1, 0
Let z(i) be the second derivative of -i**7/105 - i**6/15 - i**5/6 - i**4/6 + 155*i**2/2 + 12*i + 9. Let d(g) be the first derivative of z(g). Factor d(s).
-2*s*(s + 1)**2*(s + 2)
Suppose -25*t = -13*t - 48. Find x, given that 13*x**2 + 7*x**t - 19*x**2 - 10*x**3 - 24*x - 10*x**4 + 25*x**3 = 0.
-1, 0, 2, 4
Find d, given that -2/11 - 32/11*d**2 - 34/11*d = 0.
-1, -1/16
Suppose 0 = 23*d + 2469 - 102703. Let a = -30378/7 + d. Solve 1024/7 + a*k + 4/7*k**2 = 0 for k.
-16
Let b(w) be the second derivative of 2*w**6/15 - 151*w**5/5 - 153*w**4 - 922*w**3/3 - 308*w**2 + 1886*w. Factor b(f).
4*(f - 154)*(f + 1)**3
Suppose 0 = 5*q - 5*i + 330, -q - 93*i = -90*i + 50. Let j be 294/(-245) - q/10. Suppose -1 + 11/5*u - 2/5*u**2 - 2*u**3 - 1/5*u**j + 7/5*u**4 = 0. Calculate u.
-1, 1, 5
Let q(j) be the first derivative of -j**4/22 - 2*j**3/33 + 21*j**2/11 + 90*j/11 - 511. Find a such that q(a) = 0.
-3, 5
Let y(s) be the second derivative of 9/20*s**5 + 0 + 1/70*s**7 - 98*s + 18/5*s**2 - 8/5*s**3 - 7/50*s**6 - 1/4*s**4. Determine l so that y(l) = 0.
-1, 1, 2, 3
Let x(q) be the first derivative of -1/9*q**3 + 17/3*q + 9 + 8/3*q**2. Factor x(s).
-(s - 17)*(s + 1)/3
Let i(r) = r**3 + 6*r**2 - 11*r - 16. Let q be i(-7). Suppose -q*o + 6 = -54. Find n such that -52*n**4 