t is t?
-1, 0, 1
Let z(b) be the third derivative of 5*b**7/21 + 14*b**6/9 + 439*b**5/270 - 41*b**4/27 + 4*b**3/9 + b**2 - 365. Let z(y) = 0. What is y?
-3, -1, 2/15
Factor -4/3*x**3 + 0 + 44/3*x**2 - 32*x.
-4*x*(x - 8)*(x - 3)/3
Let o(p) be the second derivative of 10*p**7/3 + 127*p**6/6 + 45*p**5/2 - 725*p**4/12 - 220*p**3/3 - 30*p**2 - 476*p + 3. Determine z, given that o(z) = 0.
-3, -2, -2/7, -1/4, 1
Let z(h) be the first derivative of 29791*h + 2883/2*h**2 + 1/4*h**4 + 112 + 31*h**3. Suppose z(w) = 0. Calculate w.
-31
Let a(q) = -98*q**2 + 82*q + 50. Let p(y) = -53*y**2 + 41*y + 18. Let s(f) = 6*a(f) - 11*p(f). Solve s(z) = 0.
-2, 51/5
Let j(n) be the first derivative of 0*n - 3/4*n**4 + 3*n**3 - 68 - 3*n**2. What is b in j(b) = 0?
0, 1, 2
Let f(t) be the second derivative of t**5/30 - 565*t**4/2 + 957675*t**3 - 1623259125*t**2 - 7679*t. Solve f(p) = 0 for p.
1695
Let d(y) be the first derivative of -y**5/35 - 17*y**4/84 - 10*y**3/21 - 2*y**2/7 - 67*y + 70. Let k(b) be the first derivative of d(b). What is h in k(h) = 0?
-2, -1/4
Let t be ((-12)/150)/((-25)/125). Let i(y) be the first derivative of -19 - 2/5*y - 2/15*y**3 + t*y**2. Find r, given that i(r) = 0.
1
Let w = 7563818/35 + -216086. Let i = 170/7 - w. Solve 12/5*p**2 + 0*p + 0 - 6/5*p**4 - i*p**3 = 0.
-2, 0, 1
Suppose z - 3*j = -0*z - 6, 2*z = 5*j - 11. Let t be z/(27/(-3)) + (-175)/(-15). Factor -19*r + t*r**2 - 13*r - 16*r**2 - 64.
-4*(r + 4)**2
Let t = -125 - -143. Let b(f) = f**4 - f**3 + f. Let i(j) = 21*j**4 - 9*j**3 + 9*j**2 + 21*j. Let a(w) = t*b(w) - i(w). Factor a(k).
-3*k*(k + 1)**3
Let y(q) be the third derivative of q**5/100 - 53*q**4/40 - 27*q**3/5 - q**2 + 450*q. What is x in y(x) = 0?
-1, 54
Suppose i + 3*x - 34 = -x, 24 = 4*i + 2*x. Factor -12/7*n**i + 0*n + 0 + 16/7*n**3 - 4/7*n**4.
-4*n**2*(n - 3)*(n - 1)/7
Let z(q) = -22*q**2 - 271*q + 28. Let v(a) = -7*a**2 - 91*a + 8. Let j(h) = 7*v(h) - 2*z(h). Factor j(b).
-5*b*(b + 19)
Determine b, given that -24*b**2 + 117/5 + 123/5*b = 0.
-3/5, 13/8
Suppose -41 - 16 = -19*m. Let z(k) = 3*k**3 + 3*k**2 - 6*k - 3. Let p(s) = 6*s**3 + 5*s**2 - 13*s - 7. Let x(b) = m*p(b) - 5*z(b). Factor x(i).
3*(i - 2)*(i + 1)**2
Let c(b) be the second derivative of b**7/84 + 7*b**6/60 - 29*b**5/40 + 13*b**4/24 + 7*b**3/3 - 5*b**2 - 1711*b. Suppose c(u) = 0. Calculate u.
-10, -1, 1, 2
Suppose 0 = 5*k - b - 95, -4*k + 59 = -4*b - 33. Let u be (108/(-756))/(k/20 + -1). Solve -4/7*d**3 + 0 - 4/7*d - u*d**2 = 0.
-2, -1/2, 0
Let k(g) = g**2 - 136*g - 2121. Let i(v) = 2*v**2 - 137*v - 2127. Let o(c) = 4*i(c) - 3*k(c). What is d in o(d) = 0?
-11, 39
Solve 12552/7*t + 3*t**2 - 3588/7 = 0.
-598, 2/7
Let u(p) be the first derivative of 0*p**2 + 1 - 1/480*p**6 - 1/3*p**3 + 0*p**5 + 1/32*p**4 + 0*p. Let k(v) be the third derivative of u(v). Factor k(a).
-3*(a - 1)*(a + 1)/4
Suppose -36*s + 28*s - 352 = 0. Let t be (-104)/s - 12/33. Factor 2/7*p**4 - 6/7*p**t + 0*p**3 + 0 + 4/7*p.
2*p*(p - 1)**2*(p + 2)/7
Suppose 3*b + l = 7, -194*l - 3 = -197*l. Let w(i) be the second derivative of -1/24*i**3 + 21*i - 1/8*i**b + 1/48*i**4 + 1/80*i**5 + 0. Factor w(o).
(o - 1)*(o + 1)**2/4
Let d be (-2666)/559 + 40 + -34. Suppose -8 = -4*w + 4*y, w + 3*y = -y - 8. Factor -12/13*i**2 - d*i + 2/13*i**4 + w*i**3 - 6/13.
2*(i - 3)*(i + 1)**3/13
Factor -48136 + 21451 - 2380*h**2 + 4765*h**2 - 2387*h**2 - 204515 - 1360*h.
-2*(h + 340)**2
Let c be 63/49 + -1 - (-155088)/308. Let g = 504 - c. Find p such that g*p + 0 - 1/11*p**2 = 0.
0, 2
Let o(g) be the first derivative of g**8/140 - g**6/24 + g**4/8 - 34*g**3/3 - g**2 + 31. Let i(h) be the third derivative of o(h). Solve i(y) = 0.
-1, -1/2, 1/2, 1
Let u(m) be the first derivative of -3/25*m**5 + 168 - 144/5*m**3 - 1296/5*m - 3*m**4 - 648/5*m**2. Factor u(v).
-3*(v + 2)*(v + 6)**3/5
Suppose 976*m - 4810 - 2998 = 0. Factor 0 + 2/3*t**4 + 0*t + m*t**2 + 26/3*t**3.
2*t**2*(t + 1)*(t + 12)/3
Let j(v) be the first derivative of -v**6/21 - 572*v**5/35 + 1761*v**4/7 - 10656*v**3/7 + 32103*v**2/7 - 48276*v/7 + 1313. Factor j(a).
-2*(a - 3)**4*(a + 298)/7
Let c(v) = -v**4 + 48*v**3 + 356*v**2 + 603*v - 997. Let y(t) = -2*t**4 + 48*t**3 + 358*t**2 + 604*t - 996. Let k(m) = -4*c(m) + 3*y(m). Factor k(n).
-2*(n - 1)*(n + 5)*(n + 10)**2
Suppose 244*n - 304*n + 3360 = 0. Suppose 1 - 3 = -u. Suppose -n*o**u - 6 + 59*o**2 - 6*o - 3 = 0. What is o?
-1, 3
Let n be (-370)/(-25) - (-24)/(-210)*7. Suppose -12*r = -19*r + n. Find g, given that -12*g + 40/7 - 4/7*g**3 + 48/7*g**r = 0.
1, 10
Factor 133*w**3 + 315*w + 1491*w**4 - 1495*w**4 - 1347*w - 445*w**3 + 998*w**2 + 650*w**2 - 2988.
-4*(w - 3)**2*(w + 1)*(w + 83)
Suppose -5*o = 2*z - 405, -4*o + 245 = z - 76. Let b be 152/16 + -8 - 30/(-20). Factor -51*j**3 + 0*j**2 - 72*j**3 + 12*j**4 + 32*j**2 + 16*j + o*j**b.
4*j*(j - 2)**2*(3*j + 1)
Let y(r) = -r - 14. Let g be 184/(-10) - (-3)/(-5). Let f be y(g). What is d in -f + 5*d**3 + 0*d**4 - 22*d + 30*d**2 - 5*d**4 - 35 + 2*d = 0?
-2, -1, 2
Let -120/7*y + 4/7*y**2 - 100 = 0. What is y?
-5, 35
Let c(f) be the first derivative of -2*f**3/27 + 542*f**2/9 - 146882*f/9 + 5459. Let c(o) = 0. Calculate o.
271
Let l(q) be the third derivative of 2*q**5/135 - 511*q**4/108 - 128*q**3/27 + 21*q**2 + 2*q. Find t, given that l(t) = 0.
-1/4, 128
Let r(q) be the second derivative of 1/11*q**3 + 1/330*q**5 + 0 - 9/2*q**2 + 1/33*q**4 - 8*q. Let o(a) be the first derivative of r(a). Factor o(j).
2*(j + 1)*(j + 3)/11
Let l(r) be the first derivative of 14*r**5/25 - 407*r**4/5 + 464*r**3/15 - 1609. Determine a, given that l(a) = 0.
0, 2/7, 116
Let t(l) = -l**3 - 102*l**2 + 423*l - 104. Let o be t(-106). Solve 4/11*d**o + 0*d + 0 + 14/11*d**5 + 6/11*d**3 - 24/11*d**4 = 0.
-2/7, 0, 1
Solve -6*j**3 - 2/3*j**4 + 0 + 0*j + 44/3*j**2 = 0.
-11, 0, 2
Let j(n) be the second derivative of -n**7/210 + 43*n**6/150 + 9*n**5/10 + 2*n - 46. Factor j(p).
-p**3*(p - 45)*(p + 2)/5
Let n(w) be the first derivative of -1/2*w**3 - 5/2*w + 2*w**2 - 111. Factor n(d).
-(d - 1)*(3*d - 5)/2
Let k(y) be the first derivative of 4*y + 1/2*y**3 + 0*y**2 - 3/10*y**5 + 1/4*y**4 - 9. Let p(b) be the first derivative of k(b). Factor p(n).
-3*n*(n - 1)*(2*n + 1)
Find j such that -394 - 11 - 624*j - 360 + 133 + 2*j**3 - 150*j**2 = 0.
-2, 79
Let x = 432/167 - 2719/1503. Factor -x*m**2 + 1/9*m**4 - 2/3 + 1/9*m**3 - 13/9*m.
(m - 3)*(m + 1)**2*(m + 2)/9
Let h = 137010 + -137008. Suppose -96/7*b - 20/7 - 15*b**h + 25/7*b**3 = 0. Calculate b.
-2/5, 5
Let l(v) be the second derivative of v**4/24 - 7*v**3/3 + 2270*v. Factor l(w).
w*(w - 28)/2
Let y(f) be the second derivative of f**4/36 + 5*f**3/9 - 4*f**2 + 8112*f. Find a such that y(a) = 0.
-12, 2
Let c(b) be the third derivative of b**6/360 + b**5/5 - 397*b**4/72 + 20*b**3 + 17*b**2 + 105*b. Solve c(y) = 0 for y.
-45, 1, 8
Let k be (3/(3/(-68)))/1. Let h = -63 - k. Find o, given that 53*o**h - 7*o**3 - 12*o**4 - o**3 - 33*o**5 = 0.
-2/5, 0, 1
Suppose 2*x - 3*x + 18 = 0. Let z be (8/(-55))/((-17)/(765/x)). Factor 0 - 2/11*b**3 + z*b**2 + 6/11*b.
-2*b*(b - 3)*(b + 1)/11
Let r(v) be the second derivative of -v**5/30 - 7*v**4/18 - 11*v**3/9 - 5*v**2/3 + 9*v + 152. Factor r(p).
-2*(p + 1)**2*(p + 5)/3
Let k(j) = j**3 + 2*j**4 + 5*j**2 - 9*j**2 + 5*j**2 + 1 - 3*j**4. Let v(y) = y**4 - 111*y**3 - 691*y**2 - 1395*y - 816. Let h(z) = 6*k(z) + v(z). Factor h(q).
-5*(q + 1)*(q + 2)*(q + 9)**2
Find u such that -9*u**3 - 3*u**3 - 82 - 38*u + 19*u**3 - 5*u**3 + 22 = 0.
-3, -2, 5
Let c(a) = 2*a - 2. Let y(p) = 1. Let u(d) = c(d) - 4*y(d). Let q be u(6). Factor -19*z - z**2 - q*z**3 + z**2 + 21*z - 4*z**4.
-2*z*(z + 1)**2*(2*z - 1)
Factor 3*z**4 - 2*z**4 - 44*z**3 + 7*z**3 + z**2 - 12*z - 30*z + 45*z**3.
z*(z - 2)*(z + 3)*(z + 7)
Let c(h) be the first derivative of 69/2*h**2 + 3/4*h**4 - 84 - 10*h**3 - 42*h. Factor c(v).
3*(v - 7)*(v - 2)*(v - 1)
Suppose 104 = 8*i - 88. Let x be (-1 - -2)/((-160)/i + 7). Factor 3*a**3 + 0*a**x - 2*a**2 - a**2.
3*a**2*(a - 1)
Let x(q) be the first derivative of q**4/16 - 3*q**3/4 + 3*q**2 + 64*q + 71. Let p(b) be the first derivative of x(b). Factor p(o).
3*(o - 4)*(o - 2)/4
Suppose -5*k + 1324 - 399 = 0. Solve -4*f**2 + k*f**3 + 8*f - 100*f**3 + 4*f**5 - 97*f**3 + 4*f**4 + 0*f**2 = 0.
-2, -1, 0, 1
Let z(o) be the third derivative of 0