32/(-7) + m. Solve -12/7*b - 4/7*b**2 - q = 0.
-2, -1
Let q be (-2)/5 - 354/(-10). Let x = 10207 + -10202. Factor -q*w + w**2 + 0*w**2 + 29*w + x.
(w - 5)*(w - 1)
Let m(z) = -z**2 - 7*z + 2. Let h(p) = -6*p**2 - 6*p + 8. Let f(s) = -5*s**2 - 6*s + 7. Let g(j) = 5*f(j) - 4*h(j). Let d(l) = 4*g(l) - 6*m(l). Solve d(r) = 0.
-9, 0
Let c(w) = -w**2 + 24*w + 31. Let i(n) = -n + 10. Let m(t) = -t + 13. Let x(z) = -5*i(z) + 4*m(z). Let s(h) = c(h) - 6*x(h). Suppose s(l) = 0. What is l?
-1, 19
Suppose 10 = 2*v + 6. Suppose -v*c + 7*c = 55. Find j such that -6*j**2 + c + 5*j - 2 + j**2 + 1 = 0.
-1, 2
Let z(w) = -29 + 45 - 21 + w**3 + 7*w**2 - 3*w**3 + 0*w**2. Let y be z(3). Suppose 0 - 1/3*g - 1/3*g**y + 1/3*g**2 + 1/3*g**3 = 0. What is g?
-1, 0, 1
Let k be 9*(5/20)/((-5)/20). Let d(u) = -u**3 + 1. Let c(w) = -108*w**3 + 249*w**2 - 108*w + 21. Let o(y) = k*d(y) + c(y). Determine p, given that o(p) = 0.
2/11, 1/3, 2
Let f be 1 + -12 + 495/33. Let n(j) be the second derivative of 2/51*j**3 + 0*j**2 + 0 - 1/102*j**f - 4*j. Factor n(a).
-2*a*(a - 2)/17
Suppose -157*i - 71*i = -912. Let r(l) be the third derivative of 1/40*l**i + 1/200*l**6 + 0 - 1/50*l**5 + 0*l + 0*l**3 - 11*l**2. Factor r(p).
3*p*(p - 1)**2/5
Factor 0*c + 9/4*c**2 + 0 - 1/8*c**4 - 7/8*c**3.
-c**2*(c - 2)*(c + 9)/8
Let f(q) be the third derivative of q**7/1680 - 7*q**6/960 - q**5/8 - q**2 + 4750*q. Find m, given that f(m) = 0.
-5, 0, 12
Suppose -x = 3*a - 0*a - 87, 0 = a - 5. Solve 21*p**2 - x*p**4 + 51*p**4 - 12*p + 18*p**3 - 12*p**5 + 6*p = 0.
-2, -1, 0, 1/4, 1
Determine a so that -2/7*a**2 + 4/7*a - 4/7*a**3 + 0 + 2/7*a**4 = 0.
-1, 0, 1, 2
Let v(w) be the first derivative of -8 + 1/3*w**4 - 16*w**2 + 3*w + 14/3*w**3. Let p(b) be the first derivative of v(b). Determine q, given that p(q) = 0.
-8, 1
Factor x**2 - 10*x**3 - 496*x**2 - 99*x**4 + 47*x**4 + 57*x**4.
5*x**2*(x - 11)*(x + 9)
Factor -173*i**4 - 214*i**2 + 12*i**3 + 83*i**4 + 70*i**2 + 92*i**4.
2*i**2*(i - 6)*(i + 12)
Let h(o) be the third derivative of o**5/120 - 31*o**4/48 + 35*o**3/2 - 244*o**2 - 5*o. Find y, given that h(y) = 0.
10, 21
Let g(i) be the third derivative of -i**5/390 + 7*i**4/156 + 6*i**3/13 + 27*i**2 + 4. Factor g(q).
-2*(q - 9)*(q + 2)/13
Let l(v) = 7*v**2 - 1832*v + 419543. Let o(u) = 4*u**2 - 916*u + 209773. Let n(d) = -6*l(d) + 10*o(d). Suppose n(p) = 0. Calculate p.
458
Let f(d) be the first derivative of -d**6/1440 + d**4/24 - 6*d**3 - 37. Let c(x) be the third derivative of f(x). What is r in c(r) = 0?
-2, 2
Let l(q) be the third derivative of q**5/60 + 11*q**4/12 + 43*q**3/6 + 73*q**2. Let k be l(-20). Determine v so that -k + 15/2*v**2 - 9/2*v = 0.
-2/5, 1
Factor 49729/4*f + 1/4*f**3 + 0 - 223/2*f**2.
f*(f - 223)**2/4
Let s = -2 + 2. Suppose 48 = 4*j - s*j. Factor -n**5 + 4*n**2 + j*n**4 - 5*n**3 - 3*n**5 - 7*n**3.
-4*n**2*(n - 1)**3
Factor 52/5*t**2 + 128/5*t - 448/5 - 2/5*t**3.
-2*(t - 28)*(t - 2)*(t + 4)/5
Let g = 113521/2 - 56760. Factor 5 + 3/2*k - 3*k**2 + g*k**3.
(k - 5)*(k - 2)*(k + 1)/2
Let x be 28/42 - (-3)/(3/(-30)*-9). Let d(b) be the second derivative of 5/6*b**x - b**5 + 5/2*b**3 + 5/42*b**7 + 24*b + 0 + 0*b**6 - 5*b**2. Factor d(f).
5*(f - 1)**3*(f + 1)*(f + 2)
Let l(f) = -f**3 - 28*f**2 + f + 30. Let a be l(-28). Suppose 0 = -5*r - g - 0*g + 13, -4*r + 14 = 2*g. Factor -7*m**2 + 2*m**3 + 20*m**r - 11*m**a.
2*m**2*(m + 1)
Factor -2364/17*n - 698562/17 - 2/17*n**2.
-2*(n + 591)**2/17
Suppose -9 = 2*f - 19. Suppose -5 + 4 = -2*p + 3*r, 13 = f*p + 3*r. Solve -20 - 9*a**p + 12*a + 29*a**2 - 16*a + 4*a**3 = 0.
-5, -1, 1
Let q be 290/(-783)*90/(-8). Let x(j) be the second derivative of -5/12*j**4 + 0 + 0*j**2 + 24*j - q*j**3. Solve x(p) = 0 for p.
-5, 0
Solve 270*g - 238/5*g**4 - 8/5*g**5 - 1734/5*g**3 + 0 + 126*g**2 = 0.
-15, -3/4, 0, 1
Factor 220*l**2 + 5/3*l**3 + 0*l + 0.
5*l**2*(l + 132)/3
Let v(d) be the second derivative of -d**5/90 - 25*d**4/36 - 8*d**3/3 - 100*d**2 - 106*d. Let u(q) be the first derivative of v(q). Factor u(o).
-2*(o + 1)*(o + 24)/3
Let u(q) be the third derivative of 8*q**7/105 - 5161*q**6/30 + 111026*q**5 - 138675*q**4/2 - 1072*q**2 + 1. Let u(a) = 0. What is a?
0, 1/4, 645
Let n(u) be the third derivative of -u**6/360 - u**5/90 + 17*u**4/18 - 20*u**3/3 - 1316*u**2. Factor n(a).
-(a - 6)*(a - 2)*(a + 10)/3
Let q(m) = -4*m**4 + 27*m**3 - 30*m**2 + 6*m. Let f(a) = a**3 - 8*a**2 + a. Let o(r) = 6*f(r) - q(r). Factor o(v).
v**2*(v - 6)*(4*v + 3)
Suppose -2*j + 1 + 3 = 0. Let z be (-1 + 6)*364/(-546)*(-36)/8. What is y in 25/4 - 5/4*y**4 + z*y**j - 35/2*y - 5/2*y**3 = 0?
-5, 1
Let j(n) be the third derivative of n**5/270 + 157*n**4/36 - 472*n**3/27 - 16217*n**2. Suppose j(i) = 0. Calculate i.
-472, 1
Let c(q) be the first derivative of -q**5/25 + 11*q**4/20 + q**3/5 - 7*q**2/2 + 22*q/5 - 847. Solve c(w) = 0.
-2, 1, 11
Let m(u) be the third derivative of u**2 - 11/20*u**5 - 2*u**3 - 3/2*u**4 + 3/70*u**7 + 1/112*u**8 + 3 + 0*u - 1/40*u**6. Solve m(h) = 0.
-2, -1, 2
Let m(n) be the first derivative of n**6/8 + 9*n**5/4 + 45*n**4/8 - 95*n**3/2 + 675*n**2/8 - 243*n/4 + 926. Factor m(i).
3*(i - 1)**3*(i + 9)**2/4
Let a(n) = -186 - 183 + 636 - 229 - 4*n. Let v be a(9). Determine s so that -2/3*s**5 - 4/9*s**3 + 4/3*s**v - 14/9*s**4 + 2/9 + 10/9*s = 0.
-1, -1/3, 1
Let l(f) = -2*f**2 + 241*f - 2927. Let u(y) = -4*y**2 + 453*y - 5853. Let a(g) = 5*l(g) - 3*u(g). Factor a(h).
2*(h - 43)*(h - 34)
Suppose 3*v = 5*b, 17*v + 3*b + 2 = 19*v. Let n(q) be the first derivative of 2*q**2 + 0*q + v + 2/3*q**3. Factor n(p).
2*p*(p + 2)
Let g(j) = 12*j**4 + j**3 + 38*j**2 + 35*j - 35. Let h(x) = 5*x**4 + x**3 + 19*x**2 + 17*x - 15. Let a(z) = 3*g(z) - 7*h(z). Factor a(d).
d*(d - 7)*(d + 1)*(d + 2)
Factor 3683 - 2*y**2 + 1042*y - 4112*y - 611.
-2*(y - 1)*(y + 1536)
Let f(q) be the third derivative of q**8/1344 + 13*q**7/105 - 8088*q**2. What is t in f(t) = 0?
-104, 0
Let y be (-2)/1 - (-1 + -3). Let a = 4758 + -4755. Determine r, given that 5/3*r**a + 0 + 5*r - 20/3*r**y = 0.
0, 1, 3
Let w(h) be the second derivative of -3/4*h**3 + 1/5*h**5 - 7*h + 1/10*h**6 - h**2 - 1/12*h**4 + 1/84*h**7 - 2. Solve w(a) = 0.
-4, -1, 1
Let d(r) be the third derivative of -r**7/1260 - r**6/36 - 17*r**5/360 + 19*r**4/72 - 21*r**2 + 2*r + 5. Factor d(z).
-z*(z - 1)*(z + 2)*(z + 19)/6
Suppose -2/17*z**5 + 40/17 - 14/17*z**4 + 58/17*z**3 - 56/17*z - 26/17*z**2 = 0. What is z?
-10, -1, 1, 2
Let a = -172 - -179. Let c(f) = 2*f**3 + 17*f**2 + 20*f + 3. Let u(p) = -3*p**3 - 33*p**2 - 40*p - 7. Let v(q) = a*c(q) + 3*u(q). Find y, given that v(y) = 0.
-2, 0
Let y(c) be the third derivative of -c**9/7560 + c**7/420 - c**6/180 - c**4/12 - 2*c**3 + 6*c**2 + 2. Let x(l) be the second derivative of y(l). Factor x(g).
-2*g*(g - 1)**2*(g + 2)
Suppose p + 6 + 7 = 0. Let s = 43/3 + p. Find b, given that 2/3*b**2 + 2/3 + s*b = 0.
-1
Suppose -3*x = 12, -42*d + 47*d + 4*x = -31. Let f(o) = 41*o + 127. Let k be f(d). Factor 0*r**3 - 8*r - 4/3*r**k + 28/3*r**2 + 0.
-4*r*(r - 2)*(r - 1)*(r + 3)/3
Factor -166/5*u**2 - 2/5*u**3 - 1920 - 736*u.
-2*(u + 3)*(u + 40)**2/5
Let x(s) be the first derivative of 3*s**4/4 - 8*s**3 + 45*s**2/2 - 606. Let x(b) = 0. What is b?
0, 3, 5
Let r be (-1)/4 - (-582)/24. Suppose -2*z - 2*w + 36 = 0, 2*z - z - r = -4*w. Solve 0 - z + 3*g**2 + 14*g**2 - 3*g**4 - 4*g**3 - g**2 + 16*g = 0.
-2, 2/3, 2
Let u(m) be the third derivative of m**6/200 + 21*m**5/100 + 27*m**4/10 - 115*m**2 - 9*m. Find r, given that u(r) = 0.
-12, -9, 0
Let j be 153/(-17) + 14/(-2856)*-13956. Factor -912/17*q - 54/17*q**4 - 288/17 - 2/17*q**5 - j*q**2 - 438/17*q**3.
-2*(q + 1)**3*(q + 12)**2/17
Let h(v) be the second derivative of -v**5/40 + 343*v**4/24 - 28891*v**3/12 - 89787*v**2/4 - 4981*v. Factor h(o).
-(o - 173)**2*(o + 3)/2
Suppose 96*u - 71 = -79*u + 454. Let -2/3*d**2 - 5/3*d + 2 + 1/3*d**u = 0. What is d?
-2, 1, 3
Suppose -54*x + 228*x = -14*x + 376. Factor -1/4*i**3 + 1/4*i**x + 0*i + 0.
-i**2*(i - 1)/4
Factor -2*f**3 + 1280 - 383*f + 15921*f**2 - 65*f - 15869*f**2.
-2*(f - 10)*(f - 8)**2
Let n(d) be the second derivative of d**5/5 - 44*d**4 + 2072*d**3 + 175232*d**2 - 2546*d + 3. Factor n(y).
4*(y - 74)**2*(y + 16)
Let s(n) = -n**2 - 8*n + 183. Let q be s(10). Let z be 4*(q + (-105)/50). Factor 0*w - z + 2/5*w**2.
2*(w - 3)*