 v**4 + 71*v**3/18 + 2*v**2 - 32*v + 2. Factor l(p).
-(p - 71)*(p - 1)**2*(p + 1)/3
Let y(j) = -2*j - 11. Let g be y(-8). Suppose -18*f = -21*f + 18. Factor 39*i + g*i**2 - f - 3*i**2 + i**2 - 42*i.
3*(i - 2)*(i + 1)
Let l(f) = -f**2 - 4*f. Let v(n) = n - 2536*n**2 - 3*n + 2535*n**2 - n. Let u(p) = -3*l(p) + 4*v(p). Suppose u(c) = 0. Calculate c.
0
Find p such that 4/7*p + 2/7*p**4 + 0 - 2/7*p**2 + 2/7*p**5 - 6/7*p**3 = 0.
-2, -1, 0, 1
Let h(r) be the first derivative of 0*r**2 - 5*r**4 + 2*r**6 + 14 + 8*r**3 + 0*r - 32/5*r**5. Suppose h(o) = 0. What is o?
-1, 0, 2/3, 3
Factor 0 - 926/9*z**3 + 4/9*z - 922/9*z**2.
-2*z*(z + 1)*(463*z - 2)/9
Suppose -5 + 2 = 28*s - 3. Let o(g) be the first derivative of 1/6*g**6 + 1/5*g**5 + 0*g**3 + 0*g**4 + 0*g**2 + s*g - 15. Factor o(q).
q**4*(q + 1)
Let a be (-13 + 6 + -8)/(-3) + -20. Let y be -8 - a/6 - -6. Determine m, given that -y*m**2 + 1/2 + 0*m = 0.
-1, 1
Suppose 0 = -l - 4*c + 8, -3*l - 2*c - 27 = -7*c. Let r be l/(-10) - ((-336)/35 + 8). Find n such that 2*n - 4/3*n**3 - 4/3*n**2 - 2/3*n**5 - 2/3 + r*n**4 = 0.
-1, 1
Let w = 434321/30 - 144767/10. Let -130*k**2 - w*k**3 - 8450*k - 549250/3 = 0. Calculate k.
-65
Let b(o) = o**2 + 10*o + 18. Let i = 139 - 147. Let r be b(i). Factor -4/5*k**r + 4/5 - 4/5*k + 4/5*k**3.
4*(k - 1)**2*(k + 1)/5
Let k(y) = 5*y**2 + 10*y + 25. Suppose 0 = -34*z + 32*z - 30. Let f = z + -5. Let m(r) = -1. Let n(p) = f*m(p) - k(p). Solve n(h) = 0 for h.
-1
Let c(x) be the second derivative of -x**7/189 + 43*x**6/135 - 13*x**5/30 - 127*x**4/54 + 40*x**3/27 + 28*x**2/3 - 3*x - 122. Find z such that c(z) = 0.
-1, 1, 2, 42
Let m be 2/(-16) + (-28557)/24. Let b be (-629)/m - 1/(-14). Let -3/5*h + 7/5*h**3 + b*h**4 + 3/5*h**2 - 2/5 = 0. Calculate h.
-1, 2/3
Suppose -4*b - 12 = 3*z - 58, 2*z - 4*b = 24. Factor 2 - 2*d + d**2 + z*d - 15*d.
(d - 2)*(d - 1)
Let d(w) be the third derivative of w**8/336 + w**7/105 - 11*w**6/120 - w**5/5 + 3*w**4/2 - 37*w**2 - 5*w. Factor d(j).
j*(j - 2)**2*(j + 3)**2
Let n(r) be the first derivative of 3*r**4/4 + 27*r**3 + 198*r**2 - 480*r - 1300. Factor n(x).
3*(x - 1)*(x + 8)*(x + 20)
Let m(z) be the second derivative of -5/6*z**6 + 1/4*z**5 + 35/4*z**4 + 0*z**2 - 15*z**3 - 65*z + 1 + 5/42*z**7. Factor m(p).
5*p*(p - 3)**2*(p - 1)*(p + 2)
Factor 225625/8 + 951/8*v**2 + 1/8*v**3 + 226575/8*v.
(v + 1)*(v + 475)**2/8
Let l(w) be the third derivative of -2*w**2 + 7/3*w**3 - 148*w - 173/24*w**4 + 0 + 731/60*w**5 - 281/30*w**6 + 136/105*w**7 + 4/21*w**8. Factor l(k).
(k - 2)*(k + 7)*(4*k - 1)**3
Let a be (4/(-8))/((-3)/12). Let a - 84*w**3 + 1 - w - 3*w**2 + 85*w**3 = 0. Calculate w.
-1, 1, 3
Let g(p) = -79*p**3 - 3*p + 5. Let j be g(-2). What is u in 68*u + 2*u**2 - 150 + 85 + j = 0?
-17
What is q in -25/2*q**4 + 5/2*q**3 - 5/2*q - 10 + 45/2*q**2 = 0?
-1, -4/5, 1
Let k(i) = -i**3 + 3*i**2 + 2*i + 13. Let w be k(4). Solve 6*q**2 + 22*q**4 - q**5 + 5*q**4 + 3*q - 33*q**4 - 2*q**w = 0 for q.
-1, 0, 1
Let j(i) be the third derivative of 49*i**6/160 - 2177*i**5/80 + 2573*i**4/4 + 20667*i**3/2 + 9413*i**2. Let j(u) = 0. Calculate u.
-3, 166/7
Find x such that -2166*x**4 - 504 - 1664*x + 66 + 2560*x**3 + 566*x**4 - 238 + 1056*x**2 = 0.
-1/2, 13/10
Let z(w) = -4*w**3 - 19*w**2 - 19*w - 15. Let t(k) = -3*k**3 - 18*k**2 - 18*k - 15. Let l(b) = -3*t(b) + 2*z(b). Let g be l(-15). Factor -2/7*m**2 + g + 12/7*m.
-2*m*(m - 6)/7
Let p = 666 - 545. Suppose -224*n - 6*n**4 + 139*n - 442*n - 180*n**2 + 2*n**4 + 64*n**3 - p*n = 0. What is n?
-2, 0, 9
What is z in -117/2*z**2 - 11/2*z**3 - 189 - 369/2*z + 1/6*z**4 = 0?
-3, 42
Let k be (-52)/(-14) + (-6)/(-21). Let i = -1990 + 1992. Factor -z**k + 8*z**2 - 12*z + 0*z**4 - 18*z**2 + 12*z**i - 9 + 4*z**3.
-(z - 3)**2*(z + 1)**2
Suppose 62*f = 61*f + 2. Find i, given that 1546 + 195*i**f - 394 - 96*i - 193*i**2 = 0.
24
Factor -3158 + 3*r**3 + 171*r**2 + 2099 + 645*r + 1536.
3*(r + 1)*(r + 3)*(r + 53)
Suppose -5*u - 6 = 2*c - 23, 5*c = -5*u + 5. Solve -5*o**4 + 18*o**2 + 142*o**2 + 120*o**3 - u*o**2 - 30*o**2 = 0 for o.
-1, 0, 25
Let a(k) be the third derivative of -k**7/105 - k**6/60 + 3*k**5/5 + 13*k**4/3 + 40*k**3/3 - 253*k**2. Find q such that a(q) = 0.
-2, 5
Let p(y) = -5*y**2 - 77*y - 387. Let w(f) = -12*f**2 - 232*f - 1160. Let s(z) = -8*p(z) + 3*w(z). Factor s(k).
4*(k - 24)*(k + 4)
Let o(j) = -3*j**3 - 18*j**2 - 120*j - 114. Let s(f) = -55*f + 4*f**3 + 18*f**2 + 90*f + 87*f + 113. Let p(b) = 7*o(b) + 6*s(b). Factor p(k).
3*(k - 10)*(k + 2)**2
Let a(j) be the first derivative of -2*j**3/3 + 68*j**2 - 264*j + 264. Solve a(u) = 0 for u.
2, 66
Let t(h) be the first derivative of 14/13*h**2 + 2/3*h**3 - 1/26*h**4 + 0*h + 39. Find g such that t(g) = 0.
-1, 0, 14
Let h = 366 - 353. Suppose -h*x + 40 = 7*x. Suppose 8/3*q**5 + 2/3*q**4 - 8/3*q**3 - 2/3*q**x + 0*q + 0 = 0. What is q?
-1, -1/4, 0, 1
Let g(d) be the second derivative of -d**4/30 + 529*d**3/15 + 3*d - 17. Factor g(z).
-2*z*(z - 529)/5
Let t(h) be the third derivative of h**6/120 - h**5/10 - 21*h**4/8 - 18*h**3 - 89*h**2 + 23. Find f such that t(f) = 0.
-3, 12
Let z(r) be the first derivative of -3/4*r**4 - 5/2*r**2 + 0*r + 3*r**3 + 3 - 1/5*r**5. Suppose z(p) = 0. Calculate p.
-5, 0, 1
Let p be (7700/3500 - 159/20) + 6/4*4. What is r in 1/2*r**2 + 0 - 1/4*r**3 - p*r = 0?
0, 1
Suppose -p + 5*h = -31, -3*p + 121 - 41 = -2*h. Suppose -8*s - p*s + 68 = 0. Suppose -5/4*b**3 - 2*b**s - 1/4*b + 1/2 = 0. What is b?
-1, 2/5
Factor -728*d**3 + 713*d**3 + 20*d**2 - 5*d**4 + 0*d**4.
-5*d**2*(d - 1)*(d + 4)
Suppose 5*i + 0*b = 5*b + 465, 5*i = -b + 477. Let y = -85 + i. Solve 50*l + 0*l**2 - 5*l**3 - 50 + 3*l**2 - 8*l**2 + y = 0 for l.
-4, 1, 2
Let f(r) be the third derivative of r**6/280 - r**5/14 + r**4/8 + 9*r**3/7 - 19*r**2 + 3*r. Find o, given that f(o) = 0.
-1, 2, 9
Suppose 0 = -12*i - 60 - 0. Let f be 10/i*(-5 + 4). Find w such that 5 - 5/4*w**f + 0*w = 0.
-2, 2
Suppose 6*j + 9*j + 9 = 4*f + 18*j, 0 = 3*j + 3. Factor 2/5*k**f + 198/5*k + 242/5 - 42/5*k**2.
2*(k - 11)**2*(k + 1)/5
Let b(c) be the second derivative of 3*c**4/28 + 122*c**3/21 + 27*c**2/14 - 1515*c. Let b(y) = 0. Calculate y.
-27, -1/9
Let m(k) be the second derivative of k**6/120 + 7*k**5/80 + 7*k**4/24 + k**3/3 - 812*k. Suppose m(u) = 0. What is u?
-4, -2, -1, 0
Suppose i + 9 = -3*k + 4*k, 0 = 5*k + 2*i - 10. Factor -3*z**2 + 6*z**3 - 2*z**k + 5*z**2 + 28*z - 34*z.
-2*z*(z - 3)*(z - 1)*(z + 1)
Determine v, given that -22472/17 - 2/17*v**2 - 424/17*v = 0.
-106
Let n(b) be the third derivative of -1/6*b**3 - 7/240*b**6 + 0 + 0*b - 2/15*b**5 - 11/48*b**4 + 69*b**2. Factor n(r).
-(r + 1)**2*(7*r + 2)/2
Suppose 4*v = 13*v - 27. Determine q so that -53*q**2 - 4*q**5 + 13*q**4 + 68*q**v + 11*q**4 + 29*q**2 - 64*q = 0.
-2, -1, 0, 1, 8
Let s = 1506282 - 13556536/9. Factor 0 - 40/9*i - 14/3*i**2 - s*i**3.
-2*i*(i + 1)*(i + 20)/9
Suppose 29*q - 1086 = 74. Suppose 0 = 3*h - 12*b + 10*b - q, 4*h - b - 45 = 0. Find f, given that 10*f**2 + 3/2*f + h*f**4 + 3/2*f**5 + 59/3*f**3 + 0 = 0.
-3, -1/3, 0
Let a(i) be the third derivative of 0 + 4*i - 18*i**2 + 32/3*i**3 + 10*i**4 + 4/5*i**5 - 7/30*i**6. Factor a(l).
-4*(l - 4)*(l + 2)*(7*l + 2)
Let k(c) = 13*c**4 + c**3 - 25*c**2 - 28*c - 12. Let l(v) = 38*v**4 + 3*v**3 - 76*v**2 - 83*v - 34. Let x(t) = 8*k(t) - 3*l(t). Find o such that x(o) = 0.
-1, -3/5, -1/2, 2
Let s(y) be the first derivative of -1/15*y**3 - 1/10*y**2 + 12/5*y + 28. Factor s(x).
-(x - 3)*(x + 4)/5
Let y be (-12)/(-180)*52/1 + 13 + (-2364)/180. Factor -5/6*c**5 - y*c - 5/3*c**4 + 5/2*c**3 + 0 + 10/3*c**2.
-5*c*(c - 1)**2*(c + 2)**2/6
Let t(n) be the first derivative of -n**6/15 - 52*n**5/25 - 229*n**4/10 - 1568*n**3/15 - 196*n**2 - 160*n + 1475. Determine g, given that t(g) = 0.
-10, -4, -1
Find n, given that 18*n**4 + 24/7*n**5 + 198/7 - 1335/7*n + 2484/7*n**2 - 183*n**3 = 0.
-11, 1/4, 1/2, 2, 3
Let i(j) = -22*j**3 - j**2 - 3*j - 1. Let m be i(-3). Let a = m + -590. Factor 5/4*x**a - x**2 + 0 - 1/4*x.
x*(x - 1)*(5*x + 1)/4
What is x in 0 - 117/4*x - 1/8*x**4 - 15*x**3 - 353/8*x**2 = 0?
-117, -2, -1, 0
Let v = -137669/4 + 34448. Suppose -5043/4*f - 1/4*f**3 - 68921/4 - v*f**2 = 0. What is f?
-41
Let s(w) = -w**3 - 103*w**2 - 1660*w. Let t be s(-20). Let -1/5 + 1/5*u**2 + t*u = 0. What is u?
-1, 1
Let d(v) = -17*