t derivative of c**3/3 - 102*c**2 + 203*c + 1498. Suppose y(i) = 0. What is i?
1, 203
Let f(i) be the first derivative of -i**5/90 - i**4/6 + 69*i**2/2 - 1. Let n(d) be the second derivative of f(d). Let n(v) = 0. Calculate v.
-6, 0
Let l(w) be the first derivative of -19*w**4/32 - w**3/12 + 19*w**2/16 + w/4 - 2654. Let l(b) = 0. Calculate b.
-1, -2/19, 1
Factor -9*i**2 + 84*i**2 - 3576*i - 38*i**2 - 41*i**2.
-4*i*(i + 894)
Let u = -110003 + 220007/2. Suppose -29/2*x + u*x**2 - 15 = 0. Calculate x.
-1, 30
Let n be -80 + (-53)/((-31959)/48374). Solve -10/9*t**3 - n*t**4 + 0 + 4/9*t**5 - 4/9*t**2 + 0*t = 0 for t.
-1, -1/2, 0, 2
Let b(u) be the third derivative of 2/21*u**3 + 4/105*u**5 + 71*u**2 - 17/84*u**4 + 0*u + 0. Suppose b(m) = 0. Calculate m.
1/8, 2
Let -2*p**3 - 640/3 + 2/9*p**4 - 1504/9*p - 40*p**2 = 0. What is p?
-4, -3, 20
Let o(z) = z**3 + 24*z**2 - 205*z - 4496. Let j be o(-25). Find k, given that -3/7*k**5 - 36/7*k - 456/7*k**2 + 39/7*k**3 + 24/7*k**j + 432/7 = 0.
-4, -1, 1, 6
Let l(j) = -13*j - 26. Let k be l(-3). Find r such that -19*r**2 - k*r**2 - 23*r**2 - 4*r**4 - 52*r**3 - 28*r**2 + 35*r**2 = 0.
-12, -1, 0
Let o = -55 - -170/3. Suppose -59 = -5*d - 3*a - 20, -65 = -3*d - 5*a. Determine j so that d + o*j - 1/3*j**2 = 0.
0, 5
Let f(o) be the third derivative of 9*o**2 + 5/64*o**4 - 1 + 3/80*o**5 + 0*o**3 + 0*o + 1/320*o**6. Factor f(m).
3*m*(m + 1)*(m + 5)/8
Let n(a) be the second derivative of -a**5/40 + 125*a**4/6 + 1003*a**3/12 + 251*a**2/2 + 1080*a - 2. Factor n(g).
-(g - 502)*(g + 1)**2/2
Let x(h) be the second derivative of 0 + 11/30*h**3 - 6/5*h**2 - 5*h + 1/60*h**4. Suppose x(p) = 0. What is p?
-12, 1
Let g = -52463 - -52468. Solve -256/11*r**3 - 36/11*r**4 - 2/11*r**g - 1536/11*r - 1024/11 - 896/11*r**2 = 0.
-4, -2
Let z(t) be the first derivative of -t**3/18 + 8*t**2/3 + 91*t/2 - 8334. Find c such that z(c) = 0.
-7, 39
Let v(z) = 6*z + 45. Let w be v(-7). Determine t so that -10*t + 0*t**3 + 31*t + 51*t - 6*t**3 + 28*t**2 + 2*t**w = 0.
-2, 0, 9
Let f be (1 + (-26)/27)/(37*(-69)/(-61272)). Find z such that -8/9*z - 2/9*z**2 - f = 0.
-2
Let q = -525930 - -1051903/2. Factor 0 + 45/2*u**3 + q*u**2 - u.
u*(u + 1)*(45*u - 2)/2
Let x = -240 + 243. Factor v**4 - 12*v**2 - 4*v**4 - 160*v**x + 175*v**3.
-3*v**2*(v - 4)*(v - 1)
Let l(o) be the first derivative of -o**6/540 - o**5/6 - 25*o**4/4 - 26*o**3/3 + 37. Let s(n) be the third derivative of l(n). Factor s(u).
-2*(u + 15)**2/3
Let u(v) be the second derivative of v**6/180 - 3*v**5/40 - 73*v**4/12 + 1136*v**3/9 + 896*v**2 - 3*v + 1961. Let u(r) = 0. Calculate r.
-21, -2, 16
Let i(t) = 3*t**3 - 12*t**2 - 30*t + 36. Let p(a) = a**2 - 9*a - 53. Let g be p(-4). Let n(l) = l**2 - 2*l. Let x(b) = g*i(b) + 3*n(b). Factor x(d).
-3*(d - 6)*(d - 1)*(d + 2)
Let f be (-5)/15*0 + 3. Suppose 16 = f*s + 5*s. Factor 4*n**4 + 11*n**2 + 4*n**2 - 19*n**s.
4*n**2*(n - 1)*(n + 1)
Let w(i) be the third derivative of -i**6/30 - 1147*i**5/5 - 1315609*i**4/2 - 3018007046*i**3/3 - 2231*i**2. Suppose w(d) = 0. Calculate d.
-1147
Suppose 12 + 20 = 16*u. Find o such that -45 + 75*o + 35*o**4 + 0*o**5 - 14*o**3 + 10*o**u - 5*o**5 - 56*o**3 = 0.
-1, 1, 3
Let g(t) = 53*t - 93. Let b be g(5). Factor -30*j**2 + 34*j + 2218 + 31*j**2 + 2543 - b*j.
(j - 69)**2
Let c(y) be the second derivative of -y**8/4200 + y**7/1050 + y**6/225 - 2*y**5/75 + 59*y**3/2 + y - 87. Let r(k) be the second derivative of c(k). Factor r(g).
-2*g*(g - 2)**2*(g + 2)/5
Let l be (12/(-9) + 2)*942/1413. Suppose l - 2/9*d - 2/9*d**2 = 0. What is d?
-2, 1
Suppose -4*l + 3*f + 24 = 0, -5*f - 10 - 10 = 0. Factor 9*v - 46 - l*v + 58 + v**2 + 2*v.
(v + 2)*(v + 6)
Factor -98 + 41/4*m + 1/4*m**2.
(m - 8)*(m + 49)/4
Suppose 0 = 12*v - 2*v - 230. Suppose -8*y + 47 = v. Determine z so that 3 + y*z**3 - 12*z + 33/4*z**2 - 9/4*z**4 = 0.
-2, 1/3, 1, 2
Suppose -405/8 - 1/8*n**4 - 3*n**3 - 54*n - 81/4*n**2 = 0. Calculate n.
-15, -3
Let g(m) be the third derivative of 0*m**4 + 20*m - 4*m**2 + 1/720*m**6 + 0 - 1/420*m**7 + 0*m**3 + 0*m**5 + 1/1008*m**8. Solve g(x) = 0 for x.
0, 1/2, 1
Solve 162260/3*l + 9800/3 + 1331/3*l**5 + 93896/3*l**4 + 1681427/3*l**3 + 898598/3*l**2 = 0 for l.
-35, -2/11
Let l(k) be the first derivative of 46 + 2/3*k**3 - 92/9*k**2 + 40/9*k. Solve l(u) = 0 for u.
2/9, 10
Let u be -37 - ((-10032)/133 - -27). What is n in -12/7*n**2 - 2/7*n**3 + 72/7*n - u = 0?
-10, 2
Let x(q) = q**2 + 22*q + 10. Let w be x(-21). Let a(v) = -v**3 - 9*v**2 + 21*v - 6. Let o be a(w). Factor -20*c**3 + o*c**4 + 61 - 61.
5*c**3*(c - 4)
Let r(w) = -16*w**2 - 58*w + 53. Let t(n) = -3*n**2 - 1090 + n**2 - 1086 + 2175. Let a(b) = -2*r(b) + 14*t(b). Factor a(h).
4*(h - 1)*(h + 30)
Let y(w) = -13*w**3 + 549*w**2 - 21840*w + 78409. Let g(i) = 6*i**3 - 276*i**2 + 10920*i - 39204. Let d(c) = -9*g(c) - 4*y(c). Factor d(k).
-2*(k - 70)**2*(k - 4)
Let t(r) = 325*r + 333. Let z be t(-1). Let k(q) be the first derivative of 15/4*q**2 + q + 13/6*q**3 - z. Solve k(a) = 0.
-1, -2/13
What is z in -77175 + 23602*z - 36097*z - 24*z**2 - 193*z**2 - z**3 = 0?
-105, -7
Let w(t) = -13*t**2 + 283*t - 207. Let f be w(21). Let u(q) be the first derivative of 0*q - 1/10*q**4 - 2/15*q**f + 2/5*q**2 - 9. Factor u(r).
-2*r*(r - 1)*(r + 2)/5
Let o = 175 + 221. Let g be o/378*14/3. Find z such that 0*z**2 - 20/3*z**5 + 0*z - 8/9*z**3 - g*z**4 + 0 = 0.
-2/5, -1/3, 0
Let o(c) be the first derivative of -49 - 11/8*c**3 - 9/2*c**2 - 3/32*c**4 + 27/2*c. Let o(i) = 0. Calculate i.
-6, 1
Let a(m) be the second derivative of -m**6/6 + 73*m**5/4 + 565*m**4/6 + 380*m**3/3 + 5*m - 59. Factor a(p).
-5*p*(p - 76)*(p + 1)*(p + 2)
Let r be (698600/624)/(-25) + -4. Let l = -289/6 - r. Let -2/13*a**2 + 8/13*a - l = 0. What is a?
2
Let l(y) be the first derivative of 25/6*y**6 + 5*y**4 + 12*y**5 + 0*y**2 - 26 + 0*y + 0*y**3. Let l(t) = 0. Calculate t.
-2, -2/5, 0
Let p be (-21)/(-12) - (-2 + (-14)/(-8)). Suppose -180*v + 195*v**p - 5*v**3 - 114 - 233 - 33 = 0. Calculate v.
-1, 2, 38
Let q(l) be the second derivative of -15/2*l**3 + 0*l**2 - 3*l + 7 - 1/8*l**4. Determine n, given that q(n) = 0.
-30, 0
Let a(c) be the second derivative of 5/14*c**7 - 5*c**4 - 5/6*c**3 - 60 + c + 5*c**2 - 7/3*c**6 + 11/2*c**5. Solve a(u) = 0.
-1/3, 1, 2
Let g(h) = -3*h**5 - 1738*h**4 - 250571*h**3 + 4*h**2. Let i(t) = 3*t**5 + 1737*t**4 + 250569*t**3 - 3*t**2. Let x(n) = 3*g(n) + 4*i(n). Factor x(d).
3*d**3*(d + 289)**2
Let y = 17/6201 - -86627/68211. Factor y*b - 2/11*b**2 + 36/11.
-2*(b - 9)*(b + 2)/11
Let l(p) be the first derivative of -p**4/34 + 112*p**3/17 - 405*p**2 - 1700*p + 1207. Factor l(v).
-2*(v - 85)**2*(v + 2)/17
Let o be 2387/(-231) + (5 - (-6 - 2)). Find b, given that -o*b + 0 - 1/3*b**3 + 10/3*b**2 - 1/3*b**4 = 0.
-4, 0, 1, 2
Let m(r) be the first derivative of -3*r**4/28 - 22*r**3/7 + 195*r**2/2 - 756*r + 4602. Determine k, given that m(k) = 0.
-36, 7
Let m(j) = -11*j**3 - 60*j**2 + 313*j - 60. Let y(k) = -2*k**2 - 2*k + 3. Let t(i) = -m(i) - 2*y(i). Let t(p) = 0. What is p?
-9, 2/11, 3
Suppose -3*v = -7*v + 16. Suppose -15*q + q + 490 = 0. Factor -12 + 5*h**5 + q*h**v + 30*h**3 + 12 + 0.
5*h**3*(h + 1)*(h + 6)
Let a be (0/(10 + -5))/(2/(-2)). Let p(q) be the first derivative of -1/9*q**6 - 4/3*q**2 - 5 + 5/6*q**4 + a*q**3 + 0*q + 0*q**5. Determine i so that p(i) = 0.
-2, -1, 0, 1, 2
Let z(t) = -t**4 + 30*t**3 - 21*t**2 - 94*t - 66. Let c(p) = 3*p**3 - 2*p**2 + p - 2. Let x(w) = -3*c(w) + z(w). Determine h, given that x(h) = 0.
-1, 3, 20
Let q(o) be the first derivative of -2*o**3/21 + 76*o**2/7 + 22*o + 2246. Factor q(u).
-2*(u - 77)*(u + 1)/7
Let w(j) be the second derivative of -40*j**2 + 0 - 1/6*j**6 + 0*j**5 + 0*j**3 - 178*j + 10/3*j**4. Let w(d) = 0. Calculate d.
-2, 2
Suppose -170*o + 280 - 119 = -179. Factor 4*l + 0 + 1/3*l**o - 1/3*l**3.
-l*(l - 4)*(l + 3)/3
Let g(d) be the first derivative of 24/5*d**5 + 3/4*d**4 - 2*d**3 - 138 + 5/2*d**6 + 0*d + 0*d**2. Suppose g(o) = 0. What is o?
-1, 0, 2/5
Let 622/17 - 2/17*r**4 + 616/17*r**3 + 1860/17*r**2 + 1864/17*r = 0. Calculate r.
-1, 311
Let h(m) = 50*m**3 - 4*m**2 + 136*m - 126. Let i(g) = 18*g**3 - g**2 + 45*g - 42. Let v(a) = 5*h(a) - 14*i(a). Determine o, given that v(o) = 0.
-7, 1, 3
Let r be 64 + (0 - (-9)/6)*-4. Factor -29*f - 58 + 32*f + f