 1890*r + 4676. Let m(y) = -14*n(y) + 5*t(y). Factor m(j).
4*(j - 14)**2*(j + 2)
Let a(b) be the second derivative of -6*b + 1/10*b**6 + 0*b**3 + 0*b**2 - 3/10*b**5 + 1/4*b**4 + 2. Determine r, given that a(r) = 0.
0, 1
Let r be 35/(-7) - -10 - (357 + -354). Factor 0*l + r*l**2 + 0 - 1/2*l**3.
-l**2*(l - 4)/2
Let a be (-24)/14 + (1083/(-1463) - -5). Suppose 18/11*t + a + 2/11*t**2 = 0. Calculate t.
-7, -2
Let t(x) be the first derivative of 8*x**2 - 11 + 12*x + 4/3*x**3. Suppose t(s) = 0. Calculate s.
-3, -1
Find n, given that 3/4*n**3 - n**2 + 1/4*n**4 + 0*n + 0 = 0.
-4, 0, 1
Let h(o) = 6*o**3 - 86*o**2 - 241*o + 171. Let p(a) = 9*a**3 - 133*a**2 - 362*a + 256. Let c(s) = -8*h(s) + 5*p(s). Solve c(x) = 0.
-4, 2/3, 11
Solve -47439/5*x**2 - 329427/5*x - 36/5*x**4 - 453*x**3 + 27783/5 = 0.
-21, 1/12
Suppose 43 = 3*s + 5*v, 2*s - 3*v = 6 + 29. Suppose -4*f = -27*p + 25*p + 10, s = 4*p - 4*f. Solve -3/2*a**4 + 2*a**2 - 1/2 - a**p + a = 0.
-1, 1/3, 1
Suppose 114 = 5*i - 4*w - 48, 0 = w + 3. Factor -86*q**2 + 60*q + q**5 + 6*q**2 - 5*q**5 + 40*q**3 - i + 14.
-4*(q - 1)**4*(q + 4)
Factor -121032 - 68858*c + 9326*c - c**3 + 183915*c**2 - 183425*c**2.
-(c - 246)**2*(c + 2)
Let b(o) be the first derivative of -2*o**3/21 + 229*o**2/7 - 908*o/7 - 1714. Let b(h) = 0. What is h?
2, 227
Let j be ((-140)/280)/(4/(-40)). Let d(x) be the third derivative of 0*x + 0 - 1/39*x**3 + 1/390*x**j + 34*x**2 - 1/156*x**4 + 1/780*x**6. Factor d(u).
2*(u - 1)*(u + 1)**2/13
Let l be (2/(-42))/(5/(-50)*150/45). Let w(j) be the second derivative of 0 - 30*j + 1/42*j**4 - l*j**3 - 10/7*j**2. Let w(q) = 0. What is q?
-2, 5
Let n be 2*46/32 + (-2660)/1064. Factor 0 + 0*l - 51/8*l**2 + n*l**3.
3*l**2*(l - 17)/8
Suppose -3*i + 16 = -4*d - 21, 0 = -4*i - 4. Let k be d/2 + (-46)/(-6). Solve -10/3*v - k - 2/3*v**2 = 0.
-4, -1
Let s(m) be the third derivative of -m**5/20 - 57*m**4/2 - 6498*m**3 + 2394*m**2. Factor s(z).
-3*(z + 114)**2
Let n(s) be the second derivative of -2*s + 109 + 10*s**2 - 50*s**3 + 375/4*s**4. Find p, given that n(p) = 0.
2/15
Suppose -4/7*j**2 + 4/7*j**4 + 0*j - 2/7*j**5 + 2/7*j**3 + 0 = 0. What is j?
-1, 0, 1, 2
Find p, given that -117*p**4 - 2*p**3 + 229*p**4 + 42*p - 111*p**4 - 41*p**2 = 0.
-6, 0, 1, 7
Let o(q) = 3*q**2 - 71*q - 2432. Let a be o(-19). Factor -15/2*g**2 + a - 3/2*g**3 - 9*g.
-3*g*(g + 2)*(g + 3)/2
Let w(h) be the third derivative of h**6/21 + 181*h**5/210 + 123*h**4/28 + 6*h**3/7 - 5648*h**2. Solve w(g) = 0.
-6, -3, -1/20
Let z(a) be the second derivative of -a**4/54 + 1970*a**3/27 - 970225*a**2/9 + 5321*a. Factor z(n).
-2*(n - 985)**2/9
Suppose -w + 5*w = 4*f + 104, -4*w = 5*f - 86. Suppose 2*y - 5*y = -w. Factor -15*k + 2*k + 7*k - 16*k**2 - 14*k - 4*k**3 - y.
-4*(k + 1)**2*(k + 2)
Let j be -4*(-2 - (-2 - -2)). Let k(w) = w**3 - 8*w**2 + w - 6. Let m be k(j). Let -m*y**2 - 62 + 62 = 0. What is y?
0
Let m(j) be the second derivative of 15*j - 1/2*j**2 + 4/21*j**3 + 5/42*j**4 - 1/15*j**5 + 0. Let p(x) be the first derivative of m(x). Factor p(o).
-4*(o - 1)*(7*o + 2)/7
Let s = 43277/36 - 1202. Let y(x) be the second derivative of -5/3*x**2 + 7*x + s*x**4 + 0 + 5/18*x**3. Suppose y(p) = 0. Calculate p.
-2, 1
Let p(q) = 10*q**3 + 6*q**2 + 8*q - 4. Let b(w) = -50*w**2 + 56*w**2 + 5 - 8 - w**3 + 9*w**3 + 7*w. Let d(v) = -4*b(v) + 3*p(v). Factor d(u).
-2*u*(u + 1)*(u + 2)
Let x = -1187889 - -1187891. Suppose 5/6*r**x - 35/3*r + 245/6 = 0. Calculate r.
7
Let l(m) = m**3 + m**2 + 2*m. Let f(j) = -60*j - 2*j**3 + 106*j - 6*j**2 - 20*j**3 + 4*j**5 - 12*j**4 - 58*j. Let c(n) = -f(n) - 6*l(n). Factor c(y).
-4*y**3*(y - 4)*(y + 1)
Let j be 11700/250*5/3. Factor 143*f + 4*f - 394 - j*f**2 + 322 + 3*f**3.
3*(f - 24)*(f - 1)**2
Let y(k) = 19*k**3 - 109*k**2 + 286*k - 216. Let z(n) = -32*n**3 + 182*n**2 - 476*n + 360. Let g(o) = 17*y(o) + 10*z(o). Factor g(l).
3*(l - 6)*(l - 4)*(l - 1)
Let c(g) = g**2 - 1050*g + 140. Let i(r) = 5*r**2 + 2099*r - 280. Let f(k) = 15*c(k) + 6*i(k). Factor f(a).
3*(a - 70)*(15*a - 2)
Suppose 298*i - 296*i - 62 = 0. Find f, given that -24*f**3 - 68*f**2 + 4*f**3 + 48 - i*f - f = 0.
-2, 3/5
Solve 1/6 - 5/2*y + 12*y**2 - 56/3*y**3 = 0 for y.
1/7, 1/4
Let a(g) be the third derivative of -g**6/540 + g**5/30 - 2*g**4/9 + 8*g**3 + 2*g**2 - 2. Let v(f) be the first derivative of a(f). Let v(h) = 0. Calculate h.
2, 4
Suppose 58*d - 6 = 55*d. Suppose -s**2 + 106*s - 4*s**d - 31*s = 0. Calculate s.
0, 15
Let c be (-110)/45 - -2 - (-7 + 320/90). Solve -4/5*t + 8/5*t**2 - 8/5 + 4/5*t**c = 0 for t.
-2, -1, 1
Suppose -p - 56*i = -59*i - 44, 32 = p - i. Let j(b) be the second derivative of 5/6*b**3 + 0 + 1/24*b**4 + 9/4*b**2 - p*b. Factor j(m).
(m + 1)*(m + 9)/2
Let u = 277130 - 277128. Suppose -1/4*a**3 - 9/4 + 1/4*a**u + 9/4*a = 0. Calculate a.
-3, 1, 3
Let t be 0 - 8/(-14) - 112/980*5. Let j(s) be the third derivative of 3*s**2 + 0*s - 1/110*s**5 + 0*s**3 + t - 1/22*s**4. Determine p so that j(p) = 0.
-2, 0
Suppose -26 = -5*i + 4*y, 4*y + 2 + 6 = 2*i. Suppose -z + 5 = 5*p, -i*p + 3*p + 3 = -z. Factor -3/5*s**4 + 3/5*s**3 + z + 0*s + 3/5*s**2 - 3/5*s**5.
-3*s**2*(s - 1)*(s + 1)**2/5
Suppose 8*g - 36 + 4 = 0. Determine z, given that 36*z**4 + 32*z**4 - 70*z**g + 8*z**3 = 0.
0, 4
Let o(m) be the third derivative of m**6/180 + 287*m**5/90 + 5254*m**4/9 + 20164*m**3/3 + 3627*m**2. Factor o(u).
2*(u + 3)*(u + 142)**2/3
Let q(s) = -s**2 - 9*s + 43. Let k be q(-11). Suppose k*u + 16*u - 111 = 0. Solve 0 - 2*l**2 - 11/2*l**4 - 7/6*l**5 + 4/3*l - 23/3*l**u = 0 for l.
-2, -1, 0, 2/7
Factor -1791/4*q - 897/4*q**2 + 3/2.
-3*(q + 2)*(299*q - 1)/4
Let m(o) be the first derivative of -1/5*o**3 - 3/2*o**2 + 42/5*o + 97. Factor m(v).
-3*(v - 2)*(v + 7)/5
Factor -2/11*o**2 + 2888/11*o - 1042568/11.
-2*(o - 722)**2/11
Let d(i) be the second derivative of i**6/30 + 11*i**5/15 + 35*i**4/6 + 50*i**3/3 + 67*i**2/2 - 54*i. Let q(w) be the first derivative of d(w). Factor q(z).
4*(z + 1)*(z + 5)**2
Let u(s) = 103*s**3 + 62*s**2 + 123*s + 80. Let c(z) = -59*z**3 - 31*z**2 - 61*z - 41. Let o(f) = 7*c(f) + 4*u(f). Find y, given that o(y) = 0.
-1, 33
Let y(p) = p**2 - 2*p. Let q(o) = -o**3. Let j = -288 + 285. Let u(w) = j*y(w) + 3*q(w). Find i such that u(i) = 0.
-2, 0, 1
Let d = -558/41 + 8944/615. Let b(x) be the first derivative of 3*x**2 - d*x**3 + 1/10*x**4 - 18/5*x - 15. Factor b(v).
2*(v - 3)**2*(v - 1)/5
Let f(m) be the third derivative of -m**5/120 - 1771*m**4/48 - 5*m**2 + 2*m - 492. Let f(u) = 0. What is u?
-1771, 0
Factor 64/5*b**2 + 62/5*b + 2/5*b**3 + 0.
2*b*(b + 1)*(b + 31)/5
Suppose -2*h - 78 = -2*w, 4*w - 2*h = 105 + 55. Factor -19*q**2 + w*q**2 - 12 - 19*q**2.
3*(q - 2)*(q + 2)
Find w such that 36683 - 432486 - 5*w**4 - 9752*w**2 - 214760*w + 85257 - 590*w**3 - 11293*w**2 - 351934 = 0.
-52, -7
Suppose 0 = -353*a - 881*a. Factor a*o - 1/9*o**5 + 0 - 5*o**3 - 50/9*o**2 - 4/3*o**4.
-o**2*(o + 2)*(o + 5)**2/9
Suppose 0 = -5*n - 20, -3*a + 2*n = n - 61. Suppose -3*d + a = 4. Factor -5*m**d - 16*m**2 - m**3 + 10*m - m**2 + 5*m**4 - 8*m**2 + 16*m**3.
-5*m*(m - 1)**3*(m + 2)
Let d(j) = -j**3 - 2*j**2 - j + 2. Let l be d(-1). Suppose 9 + 6 + 4*t - t**l - 22*t + 4 = 0. Calculate t.
-19, 1
Let b(g) be the second derivative of -g**6/6 + 13*g**5/2 + 5*g**4/3 - 260*g**3/3 + 261*g. Find l such that b(l) = 0.
-2, 0, 2, 26
Suppose 3*c + 125*q - 124*q = 17, 4*c - 8*q = -24. What is s in -9/2*s**2 + 4*s - 1/4*s**c + 2*s**3 - 5/4 = 0?
1, 5
Let u(b) be the second derivative of -43*b**4/66 - 15*b**3/11 - 2*b**2/11 + 1386*b. Factor u(d).
-2*(d + 1)*(43*d + 2)/11
Let r = -135/22 - -865/132. Let t(g) be the second derivative of -15*g + 0*g**3 + r*g**4 + 0 + 0*g**2 - 1/4*g**5. Suppose t(n) = 0. Calculate n.
0, 1
Let p be (1456/130 - 12/10) + 8. Let o(i) be the first derivative of -7*i**3 + 57/2*i**2 + p*i + 39. Suppose o(u) = 0. What is u?
-2/7, 3
Let v = -51 + 56. Determine d so that -v*d**2 + 14*d**2 + 483*d - 3*d**4 - 489*d = 0.
-2, 0, 1
Let -65/8*k - 203/4 - 1/8*k**2 = 0. What is k?
-58, -7
Let t = -1427/74 + 769/37. Let 15/4*r**3 - t*r**4 + 0 + 0*r - 3/2*r**2 = 0. What is r?
0, 1/2, 2
Let u = 67117/2 - 32943. Let j = -615 + u. Factor -2 - j*v**2 - 5/2*v.
-(v + 1)*(v + 4)/2
Let k be 5 + -11 - 102*-1. Let i be 80/42*1 + k/1008. Suppose 0 - 4/7*b - 5/7*b**i - 1/7*b**3 =