- 117*c. Find u such that z(u) = 0.
0, 208
Let t(f) be the second derivative of f**4/72 + 269*f**3/18 + 72361*f**2/12 - 1937*f. Solve t(d) = 0 for d.
-269
Let a(l) = -2905*l**2 - 4575*l - 1670. Let r(f) = 153*f**2 + 241*f + 88. Let q(v) = 4*a(v) + 75*r(v). Suppose q(u) = 0. Calculate u.
-1, -16/29
Let y(p) = -10*p - 2*p**2 + 6 - 8 + p**2 + 14. Let t be y(-11). Factor -2*q**2 + 2*q**2 - 4*q - t - 2*q**2 - 1.
-2*(q + 1)**2
Let v(l) be the second derivative of -l**2 - 5/6*l**3 + 1/4*l**5 - 22*l - 7/30*l**6 + 3/4*l**4 - 1. Factor v(i).
-(i - 1)**2*(i + 1)*(7*i + 2)
Suppose 35 = -p + 37. Solve 19*w - 4*w**p + 16 + 5*w - 12*w = 0.
-1, 4
Let d(b) = -2*b**2 + 13. Let l be d(2). Factor 3545 - 3585 + 50*u + u**3 - 5*u**2 - l*u**3 + u**3 - 2*u**3.
-5*(u - 2)*(u - 1)*(u + 4)
Let g(t) be the first derivative of t**6/30 - 13*t**5/25 - 3*t**4/10 + 14*t**3/3 + 101*t**2/10 + 39*t/5 - 9625. Factor g(r).
(r - 13)*(r - 3)*(r + 1)**3/5
Let a = -359 + 363. Suppose 6*v**2 - 25*v**3 + v**2 - 23*v**2 - a*v**5 - 35*v**3 - 20*v**2 - 28*v**4 = 0. What is v?
-3, -1, 0
Factor -2161*z - 1917*z + 1974*z - 2*z**2 - 553352.
-2*(z + 526)**2
Let d(n) be the second derivative of -7/3*n**3 + 18*n**2 - 1/6*n**4 - 27*n + 0. Factor d(m).
-2*(m - 2)*(m + 9)
Let c = -1094982 + 1095000. Find m, given that 5*m - 1/3*m**2 - c = 0.
6, 9
Let s(r) be the third derivative of r**5/160 - 105*r**4/4 + 44100*r**3 + 2691*r**2. Factor s(p).
3*(p - 840)**2/8
Let 20577 - 3249/2*d + 171/4*d**2 - 3/8*d**3 = 0. Calculate d.
38
Suppose 1001*o - 997*o = -2128. Let n = o - -2664/5. Determine j so that -2/5*j**2 + n*j - 2/5 = 0.
1
Let x(m) = 2*m - 15. Suppose -27 = 49*n - 52*n. Let b be x(n). Factor 0*t**b - 2*t**3 - 3*t**2 + 4*t**3 + 7*t**2.
2*t**2*(t + 2)
Suppose 9*s = 7*s - 40. Let w(a) = -a**4 - a**3 + a + 1. Let g(z) = -3*z**4 - 7*z**3 - 5*z**2 + 7*z + 8. Let c(l) = s*w(l) + 5*g(l). Factor c(d).
5*(d - 4)*(d - 1)*(d + 1)**2
Suppose -2/17*o**2 + 1298/17 - 1296/17*o = 0. What is o?
-649, 1
Let c(z) = -z**2 + 4*z - 1. Suppose 109*b + 6 = 112*b. Let n be c(b). What is q in 36*q + q**2 + 3 - 19*q**3 + 23*q**2 + 23*q**n + 13 = 0?
-4, -1
Let a(n) = -10*n**2 - 7*n + 30. Let w be a(5). Let m be (-6)/(-51) + (-1585)/w - 5. Factor 5*o**2 + m - 3/2*o**3 - 14/3*o.
-(o - 2)*(3*o - 2)**2/6
Suppose 0 = 2*x + t - 3, 0 = 4*t - 85 + 153. Solve -39/2*r + r**2 - x = 0 for r.
-1/2, 20
Let k = -58515 + 58518. Factor 15/2*v**2 - 10*v + 0 - 5/4*v**k.
-5*v*(v - 4)*(v - 2)/4
Let g(r) be the third derivative of -8*r**7/105 + 58*r**6/15 - 1177*r**5/15 + 812*r**4 - 4704*r**3 + 845*r**2 - 2. Determine p so that g(p) = 0.
4, 21/2
Determine q so that 0*q + 54/5*q**2 - 33/5*q**4 - 27/5*q**3 + 6/5*q**5 + 0 = 0.
-3/2, 0, 1, 6
Let p = 89 + -86. What is q in 4*q**5 - 4*q + p*q**3 + 13*q**4 + 22*q**3 - 22*q**3 - 16*q**2 = 0?
-2, -1/4, 0, 1
Suppose 2*a - 33*a + 93 = 0. Let z be (4/70)/(48/15 - a). Factor -200/7 - z*s**2 - 40/7*s.
-2*(s + 10)**2/7
Let d(l) be the first derivative of l**6/3 + 122*l**5/35 + 40*l**4/7 - 80*l**3/3 - 432*l**2/7 + 288*l/7 - 1296. Solve d(g) = 0 for g.
-6, -3, -2, 2/7, 2
Let q = -122117/77765 - -238/151. Let j = q + 509/1030. Determine h so that -2*h - j*h**2 + 0 = 0.
-4, 0
Let t(a) be the second derivative of a**4/42 - 12*a**3/7 + 320*a**2/7 + 3*a + 282. Solve t(l) = 0.
16, 20
Let q(g) be the third derivative of -g**5/600 - 247*g**4/240 - 41*g**3/10 - 290*g**2. Solve q(r) = 0 for r.
-246, -1
Let h(i) be the second derivative of i**5/20 + 173*i**4/4 + 11352*i**3 + 99846*i**2 - 576*i - 2. Factor h(j).
(j + 3)*(j + 258)**2
Let j(p) = p**3 - 5*p**2 - p - 14. Let a be j(6). Let d(u) be the first derivative of -163*u + u**3 + 21*u**2 + a*u - 2*u**3 + 17. Determine f so that d(f) = 0.
7
Suppose 223 = 20*n - 17. Suppose 3*i - 13*q + 10*q - n = 0, 0 = 3*q. Factor 1/2*t**2 + 0 + 0*t + t**3 + 1/2*t**i.
t**2*(t + 1)**2/2
Suppose -3*h + 5*k = 302, -65 = 3*h + k + 249. Let a = h + 106. Find l such that -4*l**5 - 26*l**3 + 13*l**4 + 14*l**3 + 8*l**2 - 5*l**4 + a*l**5 - 2*l = 0.
0, 1
Let d(u) be the third derivative of -5*u**8/1344 + 31*u**7/28 - 9853*u**6/96 + 9331*u**5/4 - 453005*u**4/24 + 1897*u**2. Solve d(l) = 0 for l.
0, 7, 86
Let d = 2349 - 2346. Let j(a) be the third derivative of 0*a + 0*a**d + 20*a**2 + 0 + 1/320*a**6 - 3/160*a**5 + 0*a**4. Find s, given that j(s) = 0.
0, 3
Let u(n) be the first derivative of 1/21*n**3 + 3/7*n**2 - 130 + 0*n. Determine j so that u(j) = 0.
-6, 0
Let b(j) be the second derivative of -5*j**4/48 + 175*j**3/6 - 345*j**2/2 - 2455*j. Determine i, given that b(i) = 0.
2, 138
Let o = -1404 + 1470. Let d be (-12)/o - (18/22 + -3). Solve 0 + 18/13*g**d + 2/13*g = 0.
-1/9, 0
Let q(i) = -5*i + 1. Let w be q(-2). Let p = w + 23. Let 9*f - 98*f**2 - 5*f + p*f**2 + 4*f - 98*f**4 + 154*f**3 = 0. What is f?
0, 2/7, 1
Suppose -480 - 4570/3*t**2 - 1865/6*t**3 - 35/6*t**4 - 2090*t = 0. What is t?
-48, -3, -2, -2/7
Let h = 58263/2 - 29129. Solve 55/2*m**2 - 125/2*m + 65/2 + h*m**3 = 0 for m.
-13, 1
Factor -57648 - 27*h + 8*h + 57438 - 98*h + 3*h**3.
3*(h - 7)*(h + 2)*(h + 5)
Suppose 0 = 7*o - 5*o + 178. Let j = -86 - o. Find v such that -38*v**3 + 18 - 35*v**3 - 12*v**2 + 69*v**j + 4*v - 6 = 0.
-3, -1, 1
Let f(v) be the third derivative of 2*v**7/105 - 29*v**6/30 + 206*v**5/15 - 62*v**4/3 - 240*v**3 + 2*v**2 + 459*v + 1. Let f(j) = 0. Calculate j.
-1, 2, 10, 18
Let i(z) be the second derivative of -z**7/7 + 16*z**6/15 + 301*z**5/10 - 289*z**4 - 1376*z**3/3 + 640*z**2 - 2186*z. Find b, given that i(b) = 0.
-10, -1, 1/3, 8
Suppose 0 = -g + 12*h + 26, g + 3*h + 14 = 5*g. Factor -1/6*w**g - 16/3*w - 128/3.
-(w + 16)**2/6
Let r be (-1)/3 - (-936)/(-13 + 9). Let c = -233 - r. Factor 1/3*q**2 + 0*q - c.
(q - 2)*(q + 2)/3
Let s(q) be the second derivative of q**6/120 - q**5/30 - 163*q**2/2 - 86*q. Let y(b) be the first derivative of s(b). Solve y(n) = 0.
0, 2
Suppose -x - 3*v = -5 - 2, -4*x + 36 = 4*v. Factor -2*j**2 + 8*j**3 + 6*j**2 + 24*j - x*j**2 + 8*j**2 - 10*j**3.
-2*j*(j - 4)*(j + 3)
Let t = -1705 + 1705. Let s(d) be the second derivative of -1/5*d**5 - 5/9*d**4 - 4/9*d**3 + 0*d**2 + 2/45*d**6 - 6*d + 2/63*d**7 + t. Factor s(x).
4*x*(x - 2)*(x + 1)**3/3
Let v(r) = r**2 + 677*r - 1355. Let h be v(2). Factor 0 - 57/2*f + h*f**2.
3*f*(2*f - 19)/2
Let x(q) = -6*q**3 - 590*q**2 - 187*q + 886. Let n be x(-98). Suppose 0*f + 2/7*f**n + 0 - 2/7*f**3 + 0*f**2 = 0. Calculate f.
0, 1
Find y such that 60*y**4 + 80/3 - 752/3*y**3 + 224/3*y - 788/3*y**2 = 0.
-1, -2/9, 2/5, 5
Factor -1567/4*j + 261 + 3/8*j**2.
(j - 1044)*(3*j - 2)/8
Let l(o) be the third derivative of -o**8/392 - 38*o**7/735 + 33*o**6/140 + 47*o**5/15 + 67*o**4/7 + 40*o**3/3 + 652*o**2 + 2. Determine t, given that l(t) = 0.
-14, -2, -1, -2/3, 5
Let m(v) be the third derivative of -v**6/60 + 217*v**5/30 - 11663*v**4/12 - 11881*v**3/3 - 359*v**2 - v. Find f such that m(f) = 0.
-1, 109
Let t(d) be the first derivative of 0*d**2 - 1/24*d**3 + 91 + 0*d - 1/32*d**4. Find a such that t(a) = 0.
-1, 0
Let y be 5 + 12/(-3)*1. Suppose -j + 13 + y = 2*i, 4*j - 8 = 4*i. What is z in j - 15/4*z**3 - 51/4*z**2 + 21/2*z = 0?
-4, -2/5, 1
Suppose 7*u + 74*u = -59*u. Solve u + 15/7*p**2 + 3/7*p**3 + 0*p = 0.
-5, 0
Let a(h) = 32*h + 2496. Let p be a(-78). Let n(m) be the second derivative of -1/24*m**4 - 16*m - 5/12*m**3 + p - m**2. Factor n(r).
-(r + 1)*(r + 4)/2
Suppose 52*y - 1/2*y**2 - 1352 = 0. Calculate y.
52
Let -4/9*q + 0 + 86/9*q**2 - 74/3*q**3 = 0. Calculate q.
0, 2/37, 1/3
Factor 209764/5 + 184*c**2 - 106714/5*c - 2/5*c**3.
-2*(c - 229)**2*(c - 2)/5
Let n(d) be the second derivative of d**7/42 + 97*d**6/60 - 153*d**5/40 - 37*d**4/6 + 25*d**3/3 - 972*d. Determine y so that n(y) = 0.
-50, -1, 0, 1/2, 2
Let j(d) be the third derivative of d**7/350 - 57*d**6/200 + 133*d**5/50 - 39*d**4/5 + d**2 - 6*d - 718. Determine r, given that j(r) = 0.
0, 2, 3, 52
Let s = 443 + -441. Factor -32*u**3 + 60*u**3 - 9*u**s - 34*u**3 - u**4.
-u**2*(u + 3)**2
Let g(k) = -6*k**3 + 36*k**2 - 26*k + 172. Let h(r) = -r**3 + 8*r**2 + 2*r - 1. Let z(a) = g(a) - 8*h(a). Let z(x) = 0. Calculate x.
-3, 2, 15
Let d be (2 + (0 - -6))/(6/12). Let -21*a**2 + d*a**2 + 37 + 0*a + 5*a + 63 = 0. Calculate a.
-4, 5
Factor -220/13 + 2/13*v**2 - 218/13*v.
2*(v - 110)*(v + 1)/13
Let o(n) be the third deri