 q.
-223, -1
Let d be (-6)/11 + 24*(-7)/(-1232)*2177/63. Determine w, given that -5/2 + d*w**4 - 35/6*w + 5*w**3 + 5/6*w**5 - 5/3*w**2 = 0.
-3, -1, 1
Let g(j) be the third derivative of 0*j + 1/6*j**3 + 1/20*j**5 + 0 - 23*j**2 - 1/4*j**4. Let v(b) = -3*b**2 + 6*b. Let o(y) = -3*g(y) - 2*v(y). Factor o(r).
-3*(r - 1)**2
Let f(g) be the second derivative of -g**6/50 - 81*g**5/100 + 77*g**4/10 - 96*g**3/5 - 4892*g. Determine b so that f(b) = 0.
-32, 0, 2, 3
Let v = -3516 + 73837/21. Let q(t) be the second derivative of 1/14*t**2 + 17*t + 1/84*t**4 + 0 + v*t**3. Factor q(g).
(g + 1)**2/7
Let a(u) be the first derivative of -255 + 1/20*u**4 - 29/10*u**2 + 13/15*u**3 + 3*u. Factor a(i).
(i - 1)**2*(i + 15)/5
Suppose 50 = 4*f + 3*y, 0 = 3*f - 0*y - 2*y - 46. Let -12*b**3 + 6*b**4 + 9*b - 20*b**2 + 9*b**5 - 6*b**5 + f*b**2 = 0. Calculate b.
-3, -1, 0, 1
Let d(u) be the third derivative of -u**8/336 + 11*u**7/210 + 19*u**6/120 - 71*u**5/60 - 25*u**4/4 - 12*u**3 - 481*u**2. What is w in d(w) = 0?
-2, -1, 3, 12
Let d be 15 - 66*(16 - 11)*(-4)/(-110). Suppose -d*w + 9 + 1/4*w**2 = 0. Calculate w.
6
Let k = 3/5371 + 139637/16113. Let k - 8*d - 2/3*d**2 = 0. Calculate d.
-13, 1
Let i(g) be the third derivative of 7/144*g**4 + 1/120*g**5 + 1/18*g**3 + 2*g - 7/720*g**6 - 47*g**2 + 0 - 1/252*g**7. Suppose i(y) = 0. Calculate y.
-1, -2/5, 1
Let o = 80271 - 401351/5. Let -o*u**3 - 6/5*u**2 + 8/5 + 2/5*u**4 + 8/5*u = 0. What is u?
-1, 2
Let o = -609 + 709. Solve 5*p**3 - 115*p**2 + 615*p - 201 - 404 + o*p = 0 for p.
1, 11
Let u(z) be the third derivative of z**8/336 + 4*z**7/15 + 883*z**6/120 + 662*z**5/15 - 221*z**4/6 - 1352*z**3/3 - 828*z**2. Determine q, given that u(q) = 0.
-26, -4, -1, 1
Let w(v) be the first derivative of 4/35*v**5 + 0*v + 0*v**2 + 0*v**3 + 9/7*v**4 + 70. Suppose w(l) = 0. What is l?
-9, 0
Let z = 29122/7 - 4160. Solve 1/7*s**5 - 3/7*s**3 + 0 - 5/7*s**2 + 1/7*s**4 - z*s = 0 for s.
-1, 0, 2
Let y(q) be the second derivative of -52*q**6/15 - 27*q**5/5 + 25*q**4/3 + 18*q**3 + 2*q**2 - 661*q. Solve y(p) = 0.
-1, -1/26, 1
Suppose -4*l = -2 + 6. Let y be (-1 + 0)*l*2. Find w, given that -48 - 5*w**2 - 4*w**y + 4*w**2 - 2 - 35*w = 0.
-5, -2
Let u(r) be the second derivative of r**9/83160 + r**8/1680 + 11*r**7/1260 + r**4/12 - 12*r**2 + r + 1. Let t(q) be the third derivative of u(q). Factor t(d).
2*d**2*(d + 11)**2/11
Factor -3/7*t**2 + 702/7*t - 41067/7.
-3*(t - 117)**2/7
Let p(c) be the first derivative of 3*c**4/20 + 53*c**3/5 + 2553*c**2/10 + 11109*c/5 - 1039. Solve p(g) = 0.
-23, -7
Let j = 586 + -588. Let y be (j/5)/((-19)/95). Solve 2/9 + 4/9*g + 2/9*g**y = 0.
-1
Suppose 22*q - 196 = 2. Let j(a) be the first derivative of -2/5*a - 1/5*a**2 - 2/25*a**5 + 4/15*a**3 + q - 1/15*a**6 + 1/5*a**4. Solve j(y) = 0.
-1, 1
Let s(m) be the third derivative of -m**5/140 - 6*m**4/7 + 135*m**3/2 + 7*m**2 + 17*m - 5. Let s(c) = 0. What is c?
-63, 15
Let i(f) = -f**3 + 358*f**2 - 375*f + 30. Let n(r) = 3*r**3 - 714*r**2 + 750*r - 65. Let m(s) = 13*i(s) + 6*n(s). Solve m(k) = 0.
-75, 0, 1
Let z(k) be the third derivative of k**6/480 + k**5/16 + 11*k**4/24 - 5*k**3/2 + 148*k**2. Find y such that z(y) = 0.
-10, -6, 1
Let g be (-14 + (-1881)/(-132))*1. Let -i - 1 - g*i**2 = 0. Calculate i.
-2
Let x(h) be the second derivative of 0*h**3 + 23*h + 0*h**5 + 0 - 1/3*h**2 - 1/45*h**6 + 1/9*h**4. Solve x(v) = 0.
-1, 1
Let v(o) = -10*o**3 + 193*o**2 - 1819*o + 3738. Let h(c) = 3*c**3 - 65*c**2 + 607*c - 1245. Let q(y) = -21*h(y) - 6*v(y). Factor q(u).
-3*(u - 59)*(u - 7)*(u - 3)
Let q(i) = -i**2 + 8*i + 310. Let n be q(-14). Factor 2 + 70 - 16*b**3 - 3*b**4 - 4*b**2 - 50*b**n + 12*b - 11*b**3.
-3*(b - 1)*(b + 2)**2*(b + 6)
Let j be 40 + -2 + 7/84*-32 + 2/3. Determine s so that 472/5*s**4 - j*s**5 - 84*s**3 + 0 - 16/5*s + 144/5*s**2 = 0.
0, 2/9, 2/5, 1
Let n(h) be the first derivative of -h**6/9 + h**5/30 + 5*h**4/18 - h**3/9 - 52*h - 18. Let t(j) be the first derivative of n(j). Suppose t(p) = 0. What is p?
-1, 0, 1/5, 1
Find f, given that -778*f**2 + 403*f**2 + 3*f**3 - 3537 - 1809*f - 522*f = 0.
-3, 131
Factor 90*z - 73*z - 3*z**2 + 73*z - 675.
-3*(z - 15)**2
Let g(x) = -2*x**2. Let q(r) = r**2 + 55*r + 30 - 190*r**2 + 94*r**2. Let w(l) = 5*g(l) - q(l). Factor w(v).
5*(v - 1)*(17*v + 6)
Let v(x) = -447*x + 8052. Let k be v(18). Solve -15/2 + 3/2*t**2 - k*t = 0 for t.
-1, 5
Let s(c) = -112*c - 31. Let p be s(-10). Let b = p + -1086. Suppose 32/5*n + 1/5*n**b + 32/5 + 2*n**2 = 0. What is n?
-4, -2
Let q = -1057 - -1673. Determine n, given that -q*n**3 + 1230*n**3 - 30*n**2 + 8*n + 136*n - 612*n**3 - 216 = 0.
3, 6
Let n(z) be the second derivative of -z**6/270 - 83*z**5/180 + z**4/108 + 83*z**3/54 + 3*z - 2977. Factor n(x).
-x*(x - 1)*(x + 1)*(x + 83)/9
Let t = -22569 - -43495/2. Let o = 823 + t. Factor -15/2*a + o*a**2 + 9.
3*(a - 3)*(a - 2)/2
Suppose 0 = -4*a - 2*c + 10, 4*a - 7*a + 27 = -5*c. Suppose -3*w - 3 = -4*i, -a*i - 23*w - 1 = -22*w. Factor 1/2*k - k**2 - 1/2*k**5 + 0 + i*k**3 + k**4.
-k*(k - 1)**3*(k + 1)/2
Let b be (0 + -12 - -4)*1/(-2). Let g(f) be the first derivative of 0*f + 0*f**2 - 2*f**b + 2/3*f**6 - 12 - 4/5*f**5 + 0*f**3. Factor g(u).
4*u**3*(u - 2)*(u + 1)
Let h(f) = 11*f**4 - 7*f**3 - 29*f**2 + 7*f. Let k(q) = -9*q**2 + 23*q**2 - 4*q + 35*q**3 - 31*q**3 - 6*q**4. Let n(i) = 4*h(i) + 7*k(i). Factor n(c).
2*c**2*(c - 3)*(c + 3)
Let u(z) be the first derivative of -z**5/45 - 161*z**4/36 + 163*z**3/27 + 161*z**2/18 - 18*z - 946. Determine h so that u(h) = 0.
-162, -1, 1
Let x(h) be the third derivative of h**5/140 - 689*h**4/56 + 147*h**3 + 3145*h**2 + 1. Suppose x(a) = 0. Calculate a.
3, 686
Let t be -3*10/5 + -1 + 5. Let n be ((-5)/t)/(3555/316). Factor 0 - n*z**5 + 2/9*z - 4/9*z**2 + 0*z**3 + 4/9*z**4.
-2*z*(z - 1)**3*(z + 1)/9
Let y(q) = -q + 10. Let u be y(5). Suppose u*f = 3*c + 16, 0*c - c - 12 = -3*f. Find b such that -b + 4*b**c - 15*b**3 + 649*b**2 + 5*b**4 - 642*b**2 = 0.
0, 1/5, 1
Let u(o) = -15*o + 11. Let h be u(-1). Determine d, given that -14514*d**3 - d**5 + 14538*d**3 + 6*d + 3*d - h*d**2 - 6*d**4 = 0.
-9, 0, 1
Let x be 9 - 17 - 2358/(-288). Let u(f) be the first derivative of -3/2*f - f**3 + 14 - 15/8*f**2 - x*f**4. Solve u(d) = 0 for d.
-2, -1
Let a(n) be the third derivative of 0 - 5*n**2 + 1/2*n**4 + 1/15*n**5 + 5*n + 4/3*n**3. Determine r so that a(r) = 0.
-2, -1
Let f(c) be the third derivative of -c**6/60 + c**5/30 + c**4/6 + 97*c**2 - 1. Factor f(i).
-2*i*(i - 2)*(i + 1)
Find q, given that 15*q**2 + 13*q**2 + 26*q**2 - 43*q**2 - q**3 + 0*q**3 - 28*q = 0.
0, 4, 7
Let x be (1395/(-120) - -12) + ((-32)/256)/(0 + -1). Suppose -4*o**4 - x*o**5 - 5/2*o - 9*o**3 - 8*o**2 + 0 = 0. What is o?
-5, -1, 0
Let r(x) = 99*x**2 - 1065*x. Let w(k) = -35*k**2 + 355*k. Let i(b) = -6*r(b) - 17*w(b). Factor i(h).
h*(h + 355)
Let w = -446431/36 - -12401. Let s(v) be the third derivative of -23/180*v**5 + 4/9*v**3 + 0 - w*v**4 - v**2 + 0*v - 1/72*v**6. Solve s(f) = 0.
-4, -1, 2/5
Let v(m) be the third derivative of -m**5/160 - 51*m**4/32 - 485*m**3/16 - 3499*m**2. Factor v(g).
-3*(g + 5)*(g + 97)/8
Let z(i) = 810*i. Let w be z(-1). Let x be w/(-105) + (-4)/(-14). What is v in 9*v + 5 - 3*v**2 - x*v + 3*v + 2*v**2 = 0?
-1, 5
Let p = -181 + 183. Let 2 - 17*q**p - 6 - 21*q + 17*q**3 - 4764*q**5 + 4768*q**5 + 21*q**4 = 0. What is q?
-4, -1, -1/4, 1
Let x(n) be the second derivative of -3*n**5/20 + 9*n**4/4 - 9*n**3 - 262*n. Find a, given that x(a) = 0.
0, 3, 6
Let g(l) = 5*l**3 - 97*l**2 - 4*l. Let o(w) = 51*w**3 - 969*w**2 - 42*w. Let a(s) = 21*g(s) - 2*o(s). Solve a(n) = 0.
0, 33
Let y(p) be the second derivative of -3*p**7/14 + 7*p**6/5 - 6*p**5/5 + 211*p. Suppose y(d) = 0. What is d?
0, 2/3, 4
Suppose -2 = 3*i - 4*i. Let -i*a**4 - 10*a + 0*a**4 + 10*a**3 + 1005 + 7*a**4 - 1005 - 5*a**2 = 0. Calculate a.
-2, -1, 0, 1
Let n = -3487 - -3491. Let o(t) be the third derivative of 1/42*t**7 + 0*t**3 + 0 + 0*t**5 + 0*t**n + 0*t + 0*t**6 - 18*t**2. Factor o(q).
5*q**4
Let t = -31504/3 - -10508. Let 20/3*p**3 - 16/3*p - 16/3 - 4/3*p**5 + t*p**2 - 4/3*p**4 = 0. What is p?
-2, -1, 1, 2
Let v(q) be the third derivative of -q**6/840 + 43*q**5/105 + 347*q**4/168 + 29*q**3/7 - 161*q**2 - 8*q. Suppose v(b) = 0. Calculate b.
-1, 174
Let h(m) be the first deriv