3*t + 2/3 + 1/3*t**4 + m*t**3 - t**2.
(t - 1)**2*(t + 1)*(t + 2)/3
Let j = 363 + -361. Suppose 4*a = j*a + 3*r + 16, -13 = -a + 4*r. Determine t, given that 4/3*t**4 + 1/3 - 13/3*t**3 + a*t**2 - 7/3*t = 0.
1/4, 1
Let i = 188 - 186. Suppose 7 = 2*d - 3. Let d + 18*l**2 - 38*l - 7*l**3 - 4*l**2 + 3 + 23*l**i = 0. Calculate l.
2/7, 1, 4
Let j be 9*(-2)/(-8) - 28/112. Let c(v) be the second derivative of 43/5*v**4 + 128/5*v**j + 14*v + 9/10*v**5 + 416/15*v**3 + 0. Factor c(d).
2*(3*d + 8)**2*(5*d + 2)/5
Let t(b) be the first derivative of 2*b**3/3 + 2754*b**2 + 3792258*b + 864. Factor t(n).
2*(n + 1377)**2
Let x(o) = 79*o**2 + 498*o - 64017. Let k(c) = -10*c**2 + c + 1. Let d(l) = -8*k(l) - x(l). Let d(u) = 0. What is u?
253
Solve 202*d**5 + 194*d**5 - 4*d**4 + 30*d**2 + 41*d**2 - 397*d**5 - 25*d**2 + 19*d**3 + 24*d = 0.
-6, -1, 0, 4
Let w(v) be the second derivative of -1/48*v**4 + 3/8*v**2 + 1/12*v**3 - 1 - 69*v. What is s in w(s) = 0?
-1, 3
Let t(k) = -8*k**4 + 104*k**3 + 229*k**2 - 320*k - 15. Let f(i) = -9*i**4 + 105*i**3 + 231*i**2 - 321*i - 18. Let n(r) = 5*f(r) - 6*t(r). Solve n(o) = 0.
-3, 0, 1, 35
Factor -2/13*h**2 - 3902/13*h + 0.
-2*h*(h + 1951)/13
Let o(w) be the second derivative of -w**7/63 - 8*w**6/45 - 11*w**5/15 - 14*w**4/9 - 17*w**3/9 - 4*w**2/3 - 1168*w. Determine t so that o(t) = 0.
-4, -1
Let z(w) be the third derivative of -w**6/240 - 41*w**5/60 - 1001*w**4/48 - 833*w**3/3 - 1522*w**2. Solve z(u) = 0.
-68, -7
Let x(s) be the first derivative of s**4/6 + 4*s**3/3 + 4*s**2 + 134*s + 113. Let r(g) be the first derivative of x(g). Solve r(u) = 0 for u.
-2
Let k(a) be the third derivative of a**5/330 - 65*a**4/132 + 64*a**3/33 - a**2 - 131*a + 9. What is m in k(m) = 0?
1, 64
Let r = -59/370 - -65/222. Let u(w) be the first derivative of 0*w**2 + r*w**3 - 3/20*w**4 + 23 + 0*w + 1/25*w**5. Suppose u(x) = 0. Calculate x.
0, 1, 2
Suppose -3*a - 358 = -5*f, -4*f + 4*a = -292 + 4. Let m be (33 - 28) + 3/(-45)*f. Factor -2/5*y - m*y**2 + 2/15*y**3 + 0.
2*y*(y - 3)*(y + 1)/15
Let o = -27367 + 27373. Let b(l) be the first derivative of 0*l**5 + 0*l**2 - 10/3*l**3 + 0*l - 5/6*l**o + 15/4*l**4 + 42. Suppose b(n) = 0. What is n?
-2, 0, 1
Factor 493*h + 818*h**2 - 6*h**3 + h**3 + 132*h - 58*h**2 - 140*h**2.
-5*h*(h - 125)*(h + 1)
Let n(t) be the second derivative of t**7/6720 - t**6/1920 + 13*t**4/12 + 80*t. Let z(i) be the third derivative of n(i). Factor z(q).
3*q*(q - 1)/8
Let p(b) be the third derivative of -18*b**5 + 243*b**3 + 34*b - 64/105*b**7 + 92/15*b**6 + 2*b**2 - 81/4*b**4 + 0. Find v such that p(v) = 0.
-1, 9/4
Let a(p) be the third derivative of 0*p**3 - 1/480*p**6 + 0*p + 3/80*p**5 + 0 - 47*p**2 + 5/48*p**4. Factor a(x).
-x*(x - 10)*(x + 1)/4
Suppose 4 = 3*y - 17 + 21. Let h = 277/235 - -1/47. Factor y - h*x - 2/5*x**2.
-2*x*(x + 3)/5
Let m(g) = -202*g**2 - 1179*g - 561. Let s(u) = 40*u**2 + 236*u + 112. Let d(c) = 2*m(c) + 11*s(c). Find h, given that d(h) = 0.
-55/9, -1/2
Let r(f) = 8*f**4 - 200*f**3 - 15*f**2 + 575*f + 427. Let k(d) = 2*d**4 - 50*d**3 - 4*d**2 + 144*d + 106. Let w(q) = -9*k(q) + 2*r(q). Factor w(g).
-2*(g - 25)*(g - 2)*(g + 1)**2
Let p(c) = 3*c**3 - 196*c**2 + 647*c - 414. Let r(j) = 2*j**3 - 97*j**2 + 325*j - 206. Let s(a) = -6*p(a) + 10*r(a). Factor s(t).
2*(t - 2)*(t - 1)*(t + 106)
Let h be (-5*8/(-40))/(4 + 316/(-84)). Solve 27/5*j**2 + 0 + 6/5*j + h*j**3 = 0 for j.
-1, -2/7, 0
Let f be (-2439)/11340 - 10/(-45). Let s(c) be the third derivative of 0*c + 0*c**6 + 0*c**3 - 3/40*c**5 + 0 + f*c**7 + 27*c**2 + 1/8*c**4. Factor s(k).
3*k*(k - 1)**2*(k + 2)/2
Suppose 1/2*j**4 + 96800 + 193160*j - 439*j**3 + 191841/2*j**2 = 0. What is j?
-1, 440
Let 22/3*z - 8*z**2 - 20/3*z**3 + 0 + 8*z**4 - 2/3*z**5 = 0. Calculate z.
-1, 0, 1, 11
Let i be 0/((-4)/(-4)) + 3. Suppose 5725 - 2118 = 4*c + n, i*n = -5*c + 4500. Suppose c - 3*h**2 - 903 - 3*h**3 = 0. What is h?
-1, 0
Let n(o) be the third derivative of -80*o**2 + 0*o**3 + 5/2*o**4 - 1/12*o**5 + 0*o + 0. Factor n(p).
-5*p*(p - 12)
Let p(o) be the second derivative of o**6/24 - 15*o**4/16 + 10*o - 20. Determine n so that p(n) = 0.
-3, 0, 3
Let s = -412 - -513. Suppose -s*f = -106*f. Factor 0 + 4/3*x**3 + f*x + 1/6*x**4 + 8/3*x**2.
x**2*(x + 4)**2/6
Factor 10*n + 231/4 + 1/4*n**2.
(n + 7)*(n + 33)/4
Let s be (-2 - -5)*((-6)/(-7))/(10206/1764). Determine d, given that -44/9*d**2 + 0 + 121/9*d**3 + s*d = 0.
0, 2/11
Let q(z) be the second derivative of 2*z**7/21 - 3206*z**6/15 + 128320*z**5 + 643204*z**4/3 + 9511*z. Solve q(w) = 0 for w.
-1, 0, 802
Let u be 34314/(-172) + (-1 - -9). Let c = -191 - u. Factor 1/4*m**5 + 0 + 1/4*m + 0*m**2 - c*m**3 + 0*m**4.
m*(m - 1)**2*(m + 1)**2/4
Let z = -80 - -83. Suppose 3*m - z*y = -y + 40, 2*m - 24 = 2*y. Find h such that 14*h**5 + 7*h**3 - h**3 - 2*h**4 - 4*h + 2*h**2 - m*h**5 = 0.
-2, -1, 0, 1
Suppose -535 - 5*a**2 + 1130*a - 483 + 61 - 168 = 0. What is a?
1, 225
Factor 53*o + 1/3*o**2 - 162.
(o - 3)*(o + 162)/3
What is m in 256/3*m + 512 - 136/3*m**2 - 34/3*m**3 - 2/3*m**4 = 0?
-8, -4, 3
Let o = -6513 + 6515. Let c(r) be the third derivative of 1/15*r**6 + 0 + 0*r**7 + 0*r**5 + 0*r - 1/84*r**8 - 1/6*r**4 + 0*r**3 + 13*r**o. Factor c(a).
-4*a*(a - 1)**2*(a + 1)**2
Solve -1139*q**2 + 160*q**4 - 252*q**3 - 27*q**5 - 165*q**2 - 1056*q - 162*q**4 - 256 + 139*q**4 + 133*q**4 = 0 for q.
-2/3, 4, 8
Let f(o) be the second derivative of o**6/35 + 29*o**5/70 + 19*o**4/21 - 16*o**3/21 - 2329*o. Suppose f(u) = 0. What is u?
-8, -2, 0, 1/3
Let z(f) be the third derivative of f**5/180 + f**4/2 - 37*f**3/18 - 1095*f**2. Find w, given that z(w) = 0.
-37, 1
Let j(p) be the third derivative of -p**6/900 - 53*p**5/450 + 23*p**4/12 - 59*p**3/5 + 1315*p**2. Determine w so that j(w) = 0.
-59, 3
Let h(l) be the first derivative of -l**3/21 + 2*l**2 - 21*l - 10440. Factor h(u).
-(u - 21)*(u - 7)/7
Let p(c) be the third derivative of c**7/560 - 33*c**6/16 + 54119*c**5/80 + 54615*c**4/16 + 109561*c**3/16 - 16*c**2 - 7*c + 3. Factor p(m).
3*(m - 331)**2*(m + 1)**2/8
Let m(x) be the second derivative of 3/80*x**5 - 1 - 11/24*x**4 + 7*x + 7/4*x**2 + 5/24*x**3. Determine b, given that m(b) = 0.
-2/3, 1, 7
Determine k, given that 2063*k**2 - 4*k**5 - 4183*k**2 - 231*k**3 + 61*k**4 + 2174*k**2 = 0.
0, 1/4, 6, 9
Let k be 8260/2655*(-2)/(-14). Suppose 32/9*n - 16/3*n**2 - k*n**4 + 8/3*n**3 + 0 = 0. What is n?
0, 2
Let j(o) be the second derivative of o**5/20 - 53*o**4/4 + 623*o**3/6 - 465*o**2/2 + 2413*o. Let j(v) = 0. What is v?
1, 3, 155
Let f(i) = -46*i**2 + 391*i - 9194. Let c(s) = -27*s**2 + 197*s - 4598. Let z(k) = 7*c(k) - 4*f(k). Solve z(t) = 0.
-54, 17
Let j(k) be the first derivative of -k**4/24 + 13*k**3/9 - 143*k**2/12 + 95*k/3 + 102. Factor j(i).
-(i - 19)*(i - 5)*(i - 2)/6
Suppose -3/8*p**5 - 149475/8*p**2 - 285/8*p**4 - 9885/8*p**3 - 109740*p - 92256 = 0. What is p?
-31, -16, -1
Let x(p) be the second derivative of 67*p + p**2 - 2*p**3 + 0 - 7/6*p**4. Suppose x(a) = 0. What is a?
-1, 1/7
Let u(s) be the second derivative of -32*s + 10*s**4 + 40*s**2 + 1/6*s**6 + 2*s**5 + 0 + 80/3*s**3. Factor u(h).
5*(h + 2)**4
Let p(r) = -13*r - 7. Let x be p(2). Let l be ((-6)/7)/(x/154). Solve -4*i + l*i - i + 0*i + i**3 = 0.
-1, 0, 1
Solve 1/2*g**2 + 755/2*g + 0 = 0.
-755, 0
Let q(i) be the second derivative of 14 - 2/3*i**4 + 1/20*i**5 + i - 5*i**2 - 19/6*i**3. Factor q(t).
(t - 10)*(t + 1)**2
Let x(g) = -102*g**2 - 246*g - 111. Let w(b) = 304*b**2 + 742*b + 331. Let t(q) = -3*w(q) - 8*x(q). Find z, given that t(z) = 0.
-35/16, -1/2
Let l be (21/(2772/2136) - 16)*2. Find q such that 2/11*q**3 - 2/11*q + l*q**2 - 4/11 = 0.
-2, -1, 1
Let v(w) be the third derivative of -w**5/180 + 49*w**4/72 - 2*w**2 + 107*w. Determine a, given that v(a) = 0.
0, 49
Let x(a) be the third derivative of -a**5/690 - 2095*a**4/138 - 4389025*a**3/69 + 5022*a**2. Factor x(g).
-2*(g + 2095)**2/23
Let l(o) be the third derivative of o**8/672 - o**7/60 + o**6/16 - o**5/24 - o**4/3 + o**3 - 579*o**2 + 2. Let l(x) = 0. What is x?
-1, 1, 2, 3
Let f(h) be the first derivative of -65/6*h**3 + 3/2*h**6 + 9*h - 115/12*h**4 + 14 - 3/4*h**5 - 5*h**2. Let v(n) be the first derivative of f(n). Factor v(a).
5*(a - 2)*(a + 1)*(3*a + 1)**2
Let d(v) be the third derivative of v**5/30 - 179*v**4/6 - 359