vative of -y**6/40 + 2*y**5/5 - 19*y**4/8 + 6*y**3 + 5*y**2 - 27*y. Determine s so that j(s) = 0.
1, 3, 4
Let i = 795 + -552. Determine r so that -36 - 129*r**2 + 165*r**4 + 75*r**5 + 9*r - 18*r + 27*r + 150*r - i*r**3 = 0.
-3, -1, 2/5, 1
Suppose -5*g + 5430 = 4*o, 4*o + 2716 = 6*o + 2*g. Let b be ((-12)/20)/((-72)/o). Find f such that -28/3*f - 3*f**3 - b*f**2 + 8/3 = 0.
-2, 2/9
Let u(d) = -3*d**3 + 3*d**2 - 24*d + 423. Let s be u(5). Find w, given that -4/7*w**2 - 3/7*w + 1/7*w**s + 18/7 = 0.
-2, 3
Let o = -240518 + 240518. Solve -2/3*y**2 + o + 14/3*y = 0.
0, 7
Suppose -108 = -o - 40. Factor -8*y**2 + o*y + 6 - 34 - 4.
-4*(y - 8)*(2*y - 1)
Let c(n) be the second derivative of 0*n**2 + 212*n + 0 + 145/12*n**3 + 5/48*n**4. What is k in c(k) = 0?
-58, 0
Factor 392/3 - 252*q + 9*q**3 + 1/6*q**4 + 673/6*q**2.
(q - 1)**2*(q + 28)**2/6
Let w be 708 + -698 + (-226)/22 + 1. Determine b so that 0*b - w + 2/11*b**3 + 6/11*b**2 = 0.
-2, 1
Let c = 91 - 89. Suppose -5*y = 2*t - 24, -c*t - 11 + 3 = -3*y. Solve 3*f**2 - t*f**2 + f**2 + 18*f + 24 + f**2 = 0 for f.
-4, -2
Let d(h) be the first derivative of -h**5/3 + 3*h**4 + 16*h**3/3 - 2*h**2 + 2. Let c(x) be the second derivative of d(x). Factor c(k).
-4*(k - 4)*(5*k + 2)
Suppose -48*m + 45*m + 6 = 0. Solve 0*l**2 + m*l**2 - 3*l + 7*l = 0.
-2, 0
Let w(c) = -18*c**3 + 24. Let l(r) = 7*r**3 - 10. Let y(d) = -12*l(d) - 5*w(d). Let v(u) = -u**3. Let t(i) = -5*v(i) - y(i). Solve t(j) = 0 for j.
0
Suppose 2*b + 2 - 10 = 0. Let n = 124714/3 - 41570. Solve 20/9*k**5 + 4/9*k + 22/9*k**b - 10/9*k**2 - n*k**3 + 0 = 0 for k.
-1, 0, 2/5, 1/2
Let y = -201 + 203. Let f(h) = 7*h**3 + 6*h**2 - h + 5. Let s(z) = -3*z**3 - 3*z**2 - 2. Let m(o) = y*f(o) + 5*s(o). Factor m(l).
-l*(l + 1)*(l + 2)
Let a = -425 + 485. Let b be (-12)/30 - a/(-25). What is q in 4 - 2/3*q**3 - 4/3*q**b + 10/3*q = 0?
-3, -1, 2
Let w(k) be the second derivative of -3*k**5 + 0 + 160/3*k**3 - 4/3*k**6 + 0*k**2 - 5/42*k**7 + 112*k + 40/3*k**4. Determine q so that w(q) = 0.
-4, -2, 0, 2
Let z(o) = 25*o**2 + 2675*o - 2660. Let t(y) = -11*y**2 - 1189*y + 1182. Let u(q) = 20*t(q) + 9*z(q). Factor u(a).
5*(a - 1)*(a + 60)
Let m be -3 + (8 - (5 - 1)). Let p be (-217)/(-93) - 2*m. Factor 2/3 - p*f**2 + 1/3*f.
-(f - 2)*(f + 1)/3
Let t(x) be the second derivative of x**8/3360 - x**7/84 + 5*x**6/36 - 40*x**3 + x + 12. Let r(f) be the second derivative of t(f). Factor r(p).
p**2*(p - 10)**2/2
Suppose m - 3*r + 6 = 22, -r - 20 = -4*m. Suppose -3*p = 4*h - m, 0 = -5*p - 18 - 2. Factor -f**5 - 43*f**3 - 11*f**h - 7 - 9 - 23*f - 73*f**2 - 33*f.
-(f + 1)**3*(f + 4)**2
Find s, given that -2832*s + 304 - 192*s + 676*s**3 - 924*s + 12*s + 12636*s**2 = 0.
-19, 2/13
Let d(n) be the first derivative of 0*n + 116 + 0*n**2 - 4/27*n**6 - 2/27*n**3 + 14/45*n**5 - 1/9*n**4. Let d(p) = 0. Calculate p.
-1/4, 0, 1
Factor -26/7*x - 2/7*x**2 + 460/7.
-2*(x - 10)*(x + 23)/7
Let s be (5 - (-3 + 4)*5)*-1. Let q(b) be the first derivative of s*b**2 + 0*b**3 + 0*b - 1/7*b**4 + 8 + 2/5*b**5. Factor q(j).
2*j**3*(7*j - 2)/7
Let d(f) = -5*f**2 + 1484*f - 549081. Let a(h) = 7*h**2 - 1485*h + 549081. Let m(u) = 2*a(u) + 3*d(u). Factor m(o).
-(o - 741)**2
Suppose 12*s - 5*a = 9*s + 52, 2*a = s - 18. Suppose -s = -f - 2*i, -i = 5*f - f - 21. Let o + 0 - 9/2*o**f + 9/2*o**2 + o**3 - 2*o**5 = 0. What is o?
-2, -1, -1/4, 0, 1
Let k(r) be the second derivative of r**4/9 + 2*r**3 - 104*r**2/3 + 630*r. Let k(s) = 0. What is s?
-13, 4
Let k(h) be the first derivative of 49*h**5/5 - 1337*h**4/4 + 555*h**3 - 4941*h**2/14 + 702*h/7 + 1689. Let k(t) = 0. What is t?
3/7, 26
Let a(o) be the third derivative of o**5/105 + 11*o**4/84 - 13*o**3/21 + 1220*o**2. Factor a(h).
2*(h - 1)*(2*h + 13)/7
Let u(y) be the second derivative of 15*y**3 + 0 - 24*y + 1/30*y**5 - 225*y**2 + 3/2*y**4. Factor u(s).
2*(s - 3)*(s + 15)**2/3
Let r(d) be the second derivative of 0*d**2 + 0 + 3*d**4 - 1/10*d**5 + 19/3*d**3 - 171*d. Find k such that r(k) = 0.
-1, 0, 19
Let m(a) = -5*a**4 + 4658*a**3 - 1446153*a**2 + 150396503*a - 148955000. Let o(u) = -u**3 + u**2 - u. Let t(s) = m(s) + 3*o(s). Find c such that t(c) = 0.
1, 310
Let l(y) be the third derivative of y**9/7560 - y**8/3360 - 8*y**4 + 9*y**2 - 1. Let s(k) be the second derivative of l(k). Let s(c) = 0. Calculate c.
0, 1
Let r = 3 + -33. Let j be ((-8)/(-10))/((-34)/r + -1). Determine a, given that 558*a**2 - 5 + 6*a + 3*a**4 + 2 - j*a**3 - 558*a**2 = 0.
-1, 1
Let j(q) be the first derivative of -q**3/3 + 595*q**2 - 354025*q - 2147. Factor j(d).
-(d - 595)**2
Suppose 18/11*g**3 + 0*g**4 + 8/11*g**2 - 24/11*g + 0 - 2/11*g**5 = 0. Calculate g.
-2, 0, 1, 3
Suppose -40*v + 16213 = 16053. Let d(s) be the first derivative of -v + 1/9*s**3 - 4/3*s - 1/12*s**4 + 2/3*s**2. Solve d(l) = 0.
-2, 1, 2
Let z be 3 - (13 + 5 + -19). Let i(o) be the second derivative of 0 + 1/6*o**z + 2/3*o**3 + 0*o**2 - 16*o. Let i(l) = 0. Calculate l.
-2, 0
Suppose 51/5*c**2 - 88/5*c**3 + 0*c + 2/5*c**5 - 29/5*c**4 + 0 = 0. What is c?
-3, 0, 1/2, 17
Factor 320*g - 93*g**4 + 2*g**3 + 2*g**3 + 184*g**2 + 36*g**4 + 25*g**4 + 28*g**4.
-4*g*(g - 8)*(g + 2)*(g + 5)
Suppose m = 3*j + 15, -5*m - 3*j - 6 = -63. Let n be ((-11)/22)/((-3)/120). Factor -n*c**3 + 7*c - 5*c + m*c**3 - 6*c**2.
-2*c*(c + 1)*(4*c - 1)
Let w(f) = 2*f - 2. Let k(j) = 9*j - 8. Let v(y) = -6*k(y) + 26*w(y). Let d be v(-8). Determine s, given that d*s**2 - 8 + 227*s - 224*s - 7 = 0.
-5/4, 1
Let h = -807 - -861. Solve -37 - 164*b**2 - 158*b**2 + 33 + 320*b**2 - h - 60*b = 0.
-29, -1
Let z(o) be the third derivative of 1/5*o**5 - 1/6*o**4 - 1/10*o**6 + 0*o**3 + 0 + 2/105*o**7 + 0*o - 57*o**2. Factor z(u).
4*u*(u - 1)**3
Let z(d) = -15*d**3 + 1201*d**2 + 2370*d + 1189. Let p(g) = 6*g**3 - 600*g**2 - 1185*g - 594. Let f(h) = -7*p(h) - 3*z(h). Factor f(l).
3*(l + 1)**2*(l + 197)
Let s(a) = -3*a**4 + 29*a**3 + 80*a**2 - 544*a - 402. Let u(d) = 4*d**4 - 27*d**3 - 81*d**2 + 544*d + 405. Let l(n) = 7*s(n) + 6*u(n). Factor l(r).
(r - 3)*(r + 8)**2*(3*r + 2)
Let r = -47755/24 + 1990. Let p(c) be the second derivative of -8*c - 1/48*c**4 + 0 + r*c**3 + 3/4*c**2. Solve p(m) = 0 for m.
-1, 6
Let j(q) = -3*q**3 - 102*q**2 + 465*q - 368. Let r(h) = -5*h**3 - 203*h**2 + 931*h - 737. Let d(k) = 7*j(k) - 4*r(k). Factor d(s).
-(s - 93)*(s - 4)*(s - 1)
Let k(y) be the third derivative of -y**6/180 - 31*y**5/90 - 29*y**4/18 + 14*y**2 - 10*y. Suppose k(u) = 0. Calculate u.
-29, -2, 0
Let x(h) = 2*h**3 + 3*h**2 + 3*h + 4. Let w = -73 - -80. Let n(i) = 5*i**3 + 8*i**2 + 7*i + 8. Let k(u) = w*x(u) - 3*n(u). Factor k(j).
-(j - 1)*(j + 2)**2
Let w be 13 + (-6)/(450/965). Let m(n) be the first derivative of 0*n - 7 - 2/5*n**2 - w*n**3. Factor m(f).
-2*f*(f + 2)/5
Let g = 212039 + -212037. What is o in -9/2*o**g + 6*o + 6 - 3/2*o**4 - 6*o**3 = 0?
-2, -1, 1
Let n(d) = d**4 - 10*d**3 + 4*d**2 + d + 1. Let s(c) = -4*c**4 - 359*c**3 - 432*c**2 + 815*c - 5. Let m(q) = 5*n(q) + s(q). What is x in m(x) = 0?
-2, 0, 1, 410
Let t(w) = -12*w + 15. Let r be t(-4). Let n be 6/1*(12 + (-741)/r). Let n*m**3 + 4/7*m + 0 + 18/7*m**4 - 2*m**5 - 18/7*m**2 = 0. What is m?
-1, 0, 2/7, 1
Let x(j) be the first derivative of -3*j**4/4 - 133*j**3/12 - 20*j**2 - 39*j/4 + 1687. Solve x(b) = 0 for b.
-39/4, -1, -1/3
Let f(d) be the first derivative of 2*d + 100/3*d**3 + 125/4*d**4 - 49 + 25/2*d**2. Let f(l) = 0. What is l?
-2/5, -1/5
Factor 795/7*u**2 + 3/7*u**3 + 888*u + 12336/7.
3*(u + 4)**2*(u + 257)/7
Suppose -148*q - 172*q + 657 = -101*q. Suppose 3 = 2*i - u, i - 5*u = -4*u. What is t in -9/2*t**q + 0 + i*t - 9/2*t**5 - 21/2*t**4 + 9/2*t**2 = 0?
-1, 0, 2/3
Let y = 46 + -43. Let t(a) = 3*a**3 + 6*a**2 - 6*a - 3. Let b(j) = -8*j**2 + j**2 + 7*j + j**3 - 4*j**3 + 3. Let l(r) = y*b(r) + 4*t(r). Factor l(i).
3*(i - 1)*(i + 1)**2
Let -545/3*v**3 + 1/3*v**4 + 24661*v**2 + 0 + 24843*v = 0. Calculate v.
-1, 0, 273
Let x(l) be the second derivative of -l**5/18 + 131*l**4/27 - 104*l**3/27 - 7*l - 6. Factor x(g).
-2*g*(g - 52)*(5*g - 2)/9
Let z be ((-3)/(-8))/((-1800)/(-1120)). Let f(x) be the third derivative of 1/3*x**5 - 30*x**2 + 0*x + 0 + 1/3*x**4 + 0*x**3 - z*x**6. Factor f(v).
-4*v*(v - 1)*(7*v + 2)
Let v be (-20)/(-12)*(-234)/(-65). Let f(a) = 2499*a**3 - 1618*a**2 + 310*a - 16. Let c(d) = -d**2 