94. Solve t(p) = 0.
-1, 20
Let 2/19*y**2 - 1056/19 - 74/19*y = 0. Calculate y.
-11, 48
Let t(r) be the first derivative of r**3 + 116 + 0*r + 1/4*r**4 + 0*r**2. Let t(o) = 0. What is o?
-3, 0
Let u be (41 + 8294/(-203))*(-7)/(-5). Find o such that 2 - u*o**2 - 9/5*o = 0.
-10, 1
Suppose 3*w + 3*q = -3, -10 = -3*w - 5*q - 19. Factor -71*n - 5*n**2 + n**2 + 4*n**w - 75 + 5*n**2 + 61*n.
5*(n - 5)*(n + 3)
Suppose -1323*f = -1328*f. Let w(k) be the third derivative of -3/44*k**4 + 0 + 1/330*k**5 + 8/33*k**3 + f*k - 6*k**2. Factor w(a).
2*(a - 8)*(a - 1)/11
Let x = -43294 - -129902/3. Solve -12*y - 3*y**4 + 14*y**3 - x + 23/3*y**2 = 0.
-2/3, 1, 5
Let v = 1 + 4. Let k(b) = b**3 - 6*b**2 + 6*b - 2. Let z be k(v). What is r in r**5 - 4*r**2 - 10*r**4 - 4*r**2 - 20*r**z - 3*r**5 + 4*r**3 = 0?
-2, -1, 0
Factor 1087212 - 2408*r + 4/3*r**2.
4*(r - 903)**2/3
Let c(a) be the third derivative of -a**10/7560 + a**9/1260 - 61*a**4/6 + 222*a**2 - 1. Let d(o) be the second derivative of c(o). Find y such that d(y) = 0.
0, 3
Let o be (4/(-14))/((-86)/602). Let k be ((-105)/(-350))/(o/16). Factor 2/5*a**2 + k - 2*a.
2*(a - 3)*(a - 2)/5
Let p(t) be the third derivative of 0 + 0*t**3 + 43/90*t**5 + 0*t**4 + 220*t**2 + 0*t + 1/180*t**6. What is k in p(k) = 0?
-43, 0
Factor 9168*f**3 + 30976*f - 487*f**2 + 4*f**5 + 23316*f**2 + 9555*f**2 + 368*f**4.
4*f*(f + 2)**2*(f + 44)**2
Let y(d) = -13*d**2 + 395*d - 5005. Suppose -t = -52 + 40. Let w(l) = -32*l**2 + 988*l - 12512. Let b(p) = t*y(p) - 5*w(p). Let b(n) = 0. Calculate n.
25
Determine k so that 90/7*k**2 - 36/7*k**4 + 18 - 15*k**3 + 285/7*k = 0.
-3, -1, -2/3, 7/4
Let x(j) be the second derivative of -j**6/50 - 9*j**5/50 + j**4/20 + 3*j**3 - 1526*j. Suppose x(a) = 0. Calculate a.
-5, -3, 0, 2
Let r = -783 + 1571/2. Let d(x) be the first derivative of -4*x**5 - 20/3*x**3 + r*x**2 + 0*x + 5/6*x**6 + 15/2*x**4 - 19. Solve d(b) = 0 for b.
0, 1
Let o(k) be the second derivative of -k**4/4 - 25*k**3/2 + 396*k**2 - k - 278. Factor o(r).
-3*(r - 8)*(r + 33)
Let t(d) = 11*d**3 - 91*d**2 + 158*d. Let i(g) = 32*g**3 - 287*g**2 + 476*g. Let f(p) = -6*i(p) + 17*t(p). Determine r, given that f(r) = 0.
0, 1, 34
Let h(y) be the third derivative of -y**6/30 - 11*y**5/15 + 24*y**4 + 216*y**3 + 597*y**2. Factor h(a).
-4*(a - 9)*(a + 2)*(a + 18)
Let x(h) be the second derivative of 25/4*h**3 - 15/8*h**4 + 0*h**2 + 73*h - 1/20*h**6 + 0 - 27/40*h**5. Factor x(s).
-3*s*(s - 1)*(s + 5)**2/2
Let j be (2 - 24/18)/((-4)/6). Let u be (-294)/(-77) + (9/(-11) - j). Find w, given that 3*w**3 - w**2 + w**4 - u*w**3 - w**3 + 2*w = 0.
-1, 0, 1, 2
Suppose -3*k + 8480 = 13*k. Let r = k + -11128/21. Solve 0 - 2/7*y**2 - r*y - 2/21*y**3 + 2/7*y**4 + 4/21*y**5 = 0.
-1, -1/2, 0, 1
Let c be 6*-4*17/(-12). Suppose 5*x + 24 = c. Factor -1/2 - k**3 + 3/2*k**4 - k**x + 3/2*k - 1/2*k**5.
-(k - 1)**4*(k + 1)/2
Suppose 269*z = 283*z - 224. Let a(o) be the first derivative of 2 + 8*o**2 - 4/3*o**3 + z*o - o**4. Factor a(h).
-4*(h - 2)*(h + 1)*(h + 2)
Let a be (46/5 - 9)*75. Let d be (4*(-9)/a)/(2 + -4). Factor -d + 6/5*l**2 - 3/5*l**3 + 3/5*l.
-3*(l - 2)*(l - 1)*(l + 1)/5
Let h(l) be the first derivative of -3*l**5/25 - 6*l**4/5 + 9*l**3/5 + 60*l**2 + 240*l + 1108. Let h(d) = 0. Calculate d.
-5, -4, 5
Suppose 1273*m + 70*m**5 + 847*m + 55*m**5 + 5315*m**2 + 2225*m**4 + 5595*m**3 + 300 = 0. Calculate m.
-15, -1, -2/5
Suppose -8*x - 18 + 79 = 37. Let s(p) be the first derivative of -10 + 2/33*p**x + 4/11*p**2 + 8/11*p. Solve s(o) = 0 for o.
-2
Let r be (-50)/4*1/((-2)/8). Let h = -46 + r. Find q, given that -40 - 20*q + 6 - 3*q**2 - 14 - h*q = 0.
-4
Let w = 899/165 - 123/11. Let h = -27/5 - w. Factor h*r - 1/3*r**3 - 2/3 + 2/3*r**2.
-(r - 2)*(r - 1)*(r + 1)/3
Let y(x) = -x**3 - x + 1. Suppose 25 - 13 = -c. Let r(i) = -10*i**3 - 6*i**2 - 12*i + 20. Let b(s) = c*y(s) + r(s). Factor b(t).
2*(t - 2)**2*(t + 1)
Suppose 94 + 38 = 4*r. Let f = 36 - r. What is k in -k**f - k**2 + 83*k**4 - 2*k - 82*k**4 + 3*k = 0?
-1, 0, 1
Let w(p) be the second derivative of p**6/45 + 3*p**5/10 + 10*p**4/9 + 4*p**3/3 + 13*p - 8. Factor w(l).
2*l*(l + 1)*(l + 2)*(l + 6)/3
Let j(o) be the third derivative of 0 + 31*o**2 + 0*o - 25/36*o**3 + 5/24*o**4 - 1/40*o**5. Let j(i) = 0. Calculate i.
5/3
Let k(x) = -119*x**3 - 14607*x**2 + 20201*x - 5520. Let a(f) = -30*f**3 - 3650*f**2 + 5050*f - 1380. Let p(b) = 9*a(b) - 2*k(b). Suppose p(q) = 0. What is q?
-115, 3/8, 1
Suppose -3*u - 8 = 7, -3*p - 2*u - 1177 = 0. Let b = p + 4281/11. Determine t so that b*t**2 + 0*t - 8/11 = 0.
-2, 2
Let r(a) be the third derivative of 7*a**4/12 + 71*a**3/3 + 2*a**2 + 93*a. Let v be r(-10). Factor -4/5 + 7/5*n**v + 12/5*n.
(n + 2)*(7*n - 2)/5
Let g(x) be the first derivative of 0*x - 31/8*x**3 + 47 + 3/8*x**4 - 3/2*x**2. Factor g(h).
3*h*(h - 8)*(4*h + 1)/8
Let g(n) be the third derivative of n**6/15 - 13*n**5/5 - 7*n**4/2 + 40*n**3/3 - 3211*n**2. Factor g(q).
4*(q - 20)*(q + 1)*(2*q - 1)
Let v(k) be the third derivative of 23*k**6/40 - 133*k**5/4 + 293*k**4/4 + 28*k**3 - 16*k**2 + 5. Determine p, given that v(p) = 0.
-2/23, 1, 28
Let l be 13 + 0 + (16 - 21). Suppose 7*x = 6 + l. Factor 20*m - 6*m + 6*m - 142*m**x + 137*m**2.
-5*m*(m - 4)
Let k(p) be the third derivative of 1/3*p**3 - 2/105*p**7 + 0 - 1/30*p**6 - 73*p**2 - 1/336*p**8 + 5/24*p**4 + 0*p + 1/30*p**5. Determine v so that k(v) = 0.
-2, -1, 1
Let h be (144 - 137) + -1403 + 1. Let b = -1392 - h. Determine q, given that 3/5*q**2 - 4/5 - 1/5*q**b + 0*q = 0.
-1, 2
Let n be (74 + -7 - 47) + 56/(-3). Let -2/3*a**5 + 0*a**4 - n*a**2 + 14/3*a**3 + 16/3 - 8*a = 0. What is a?
-2, 1, 2
Let u(w) = w**3 - w**2 + w - 1. Let q(g) = -9*g**5 - 155*g**4 - 580*g**3 + 928*g**2 + 1695*g + 321. Let n(a) = -2*q(a) + 6*u(a). Let n(c) = 0. What is c?
-9, -1, -2/9, 2
Let q(o) be the second derivative of o**7/70 + 9*o**6/50 + 39*o**5/50 + o**4 - 12*o**3/5 - 48*o**2/5 + 405*o. Factor q(d).
3*(d - 1)*(d + 2)**3*(d + 4)/5
Let i(r) be the first derivative of 0*r + 3/4*r**4 - 60 + 9/2*r**2 - 4*r**3. Solve i(f) = 0.
0, 1, 3
Let m(b) = 4*b**2 - 153*b - 568. Let w(c) = -7*c**2 + 301*c + 1136. Let j(l) = 5*m(l) + 3*w(l). Factor j(i).
-(i - 142)*(i + 4)
Let u = -83 + 85. Solve 44*h**4 + h**2 + 3*h**u - 2290*h**3 + 2338*h**3 = 0 for h.
-1, -1/11, 0
Let z(y) be the second derivative of -1/50*y**5 - 3 + 0*y**2 + 0*y**3 - 9*y + 1/5*y**4 - 1/75*y**6. Let z(d) = 0. Calculate d.
-3, 0, 2
Let d be -6*11/(495/(-10))*(13 + -10). Let s(w) be the first derivative of 9/2*w**d - 44 + 9*w + 15*w**2 + 3/5*w**5 + 12*w**3. Factor s(r).
3*(r + 1)**3*(r + 3)
Let n(s) be the second derivative of -1/4*s**5 + 5/12*s**4 + 0 + 4*s**2 + 0*s**3 + 1/24*s**6 + 3*s. Let j(u) be the first derivative of n(u). Factor j(v).
5*v*(v - 2)*(v - 1)
Let i be 15/(-20)*-4 + 0. Solve -3 - 2*k**2 + 161*k - 175*k + i = 0 for k.
-7, 0
Factor 810*h + 108*h**3 + 3*h**4 + 26786*h**2 - 13023*h**2 - 13196*h**2.
3*h*(h + 3)**2*(h + 30)
Let l(q) be the second derivative of -q**6/840 + 11*q**5/420 - 5*q**4/84 - 93*q**2/2 - 82*q - 1. Let n(v) be the first derivative of l(v). Factor n(j).
-j*(j - 10)*(j - 1)/7
Let w = 11594 - 3130379/270. Let d(m) be the third derivative of 0 - 11*m**2 + 0*m - w*m**5 + 1/54*m**4 + 1/9*m**3. Factor d(i).
-2*(i - 3)*(i + 1)/9
Let v(s) = -11*s**2 + 2958*s - 723243. Let u(x) = -90*x**2 + 23667*x - 5785944. Let w(k) = -4*u(k) + 33*v(k). Factor w(b).
-3*(b - 491)**2
Let f be (1/((-6)/(-12)))/(56 + -46). Factor 3/2 - 1/10*n**2 + f*n.
-(n - 5)*(n + 3)/10
Suppose -59/4*x**3 + 9/4*x**5 - 6 + 11*x - 3*x**4 + 15/2*x**2 = 0. What is x?
-2, -1, 2/3, 3
Let f(a) be the first derivative of -12 - 1/12*a**4 + 3*a**2 - 1/3*a**3 + 0*a. Factor f(c).
-c*(c - 3)*(c + 6)/3
Let w(t) = 12*t**2 + t - 13. Suppose -108 = -4*l + 31*l. Let m(d) = -4*d**2 + 4. Let p(n) = l*w(n) - 11*m(n). Factor p(o).
-4*(o - 1)*(o + 2)
Let l(i) be the third derivative of -i**6/60 + 52*i**5/15 - 103*i**4/12 + 384*i**2. Solve l(y) = 0 for y.
0, 1, 103
Determine u so that 173056/5 + 1/5*u**3 + 8320*u - 412/5*u**2 = 0.
-4, 208
Suppose -3 = 3*v, 5*v - 2 + 27 = 4*o. Let b be -3*18/45*o/(-3). Determine y so that -y**2 + 5 + 1 - b = 0.
-2, 2
Suppose -44 = -5*w + 2*k, 2*w = -3*w - 3*k + 59. Suppose 4*q + q - w = 0, -4 = -l - q. Factor 2*o + o**l + o**3 - o - o**4 - 2*