 + 2)**2
Let h(z) = 685*z + 4118. Let w be h(-6). Let j(x) be the first derivative of -1/9*x**3 - w + 5/3*x + 2/3*x**2. Determine l, given that j(l) = 0.
-1, 5
Let x be (6 + 6 - 6) + -3. Factor -359*m - m**2 + x*m**3 + 6*m**4 + 356*m - 5*m**4.
m*(m - 1)*(m + 1)*(m + 3)
Let m(q) be the second derivative of -q**7/42 + q**6/30 + 3*q**5/5 + q**4/3 - 8*q**3/3 + 49*q + 7. Determine t, given that m(t) = 0.
-2, 0, 1, 4
Factor 290/13*n**2 - 2/13*n**3 - 1136/13*n + 1128/13.
-2*(n - 141)*(n - 2)**2/13
Suppose -2*k + 46 = -2*w, 14 + 13 = -w - 3*k. Let v be 36 - 2*w/32. Factor v + 15*a + 3/2*a**2.
3*(a + 5)**2/2
Let d(r) be the first derivative of 40*r**3/27 + 59*r**2/9 - 2*r/3 - 6224. Find u such that d(u) = 0.
-3, 1/20
Let w(l) be the first derivative of -24 + 0*l**4 + 1/12*l**5 - 5/3*l**2 + 38*l - 5/6*l**3. Let a(n) be the first derivative of w(n). Let a(r) = 0. What is r?
-1, 2
Let m be 6/4*(-24)/(-9). Suppose 4*w + m*g = 124, 0*w + 5*w = -g + 159. Factor -30*k**2 + w*k + 34*k**2 + 100 - 36.
4*(k + 4)**2
Let t = -52988539/894465 - -67/16263. Let p = -546/11 - t. Determine w so that -4/5*w**2 + 2/5*w**3 - 8*w - p = 0.
-2, 6
Let j(v) be the second derivative of v**6/1620 - v**5/60 + 11*v**3/2 - 12*v - 1. Let t(g) be the second derivative of j(g). Factor t(c).
2*c*(c - 9)/9
Let k(d) = 7*d**3 + 70*d**2 + 158*d - 578. Let f(r) = 4*r**3 + 3*r - 1. Let w(s) = -2*f(s) + k(s). Factor w(l).
-(l - 72)*(l - 2)*(l + 4)
Solve -224*c**3 + 1157*c - 3*c**4 + 15079*c + 9748*c - 5808*c**2 - 26912 + c**4 = 0.
-58, 2
Determine h, given that 8/17*h**5 + 0 + 46/17*h**4 - 106/17*h**2 + 28/17*h**3 + 24/17*h = 0.
-4, -3, 0, 1/4, 1
Let u(t) = -183*t**4 - 858*t**3 - 825*t**2 + 3*t + 126. Let q(c) = -26*c**4 - 123*c**3 - 118*c**2 + c + 18. Let m(r) = 27*q(r) - 4*u(r). Solve m(z) = 0.
-2, -1, 3/10
Let y(v) be the third derivative of 8*v**2 + 0 + 8/105*v**7 - 3*v + 2*v**3 - 83/24*v**4 + 5/3*v**6 + 89/60*v**5. Solve y(d) = 0 for d.
-12, -1, 1/4
Let z(n) = 2*n**3 + n - 1. Let w(c) = -11*c**3 - 42*c**2 + 41*c + 4. Let x be 0/(-1) + -8 + (-7)/(-1). Let d(a) = x*w(a) - 4*z(a). Find p such that d(p) = 0.
-15, 0, 1
Suppose 6*c - 15*c - 20*c = -3*c. Factor -1/5*a**2 + c + 11/5*a.
-a*(a - 11)/5
Let q(x) = -159*x**2 - 1476*x + 6693. Let b(n) = -30*n**2 - 295*n + 1337. Let l(a) = 21*b(a) - 4*q(a). Let l(t) = 0. What is t?
5, 87/2
Let q(n) be the third derivative of -n**6/24 + 5*n**5/12 + 65*n**4/4 + 60*n**3 + 2*n**2 - 5*n + 304. Solve q(b) = 0 for b.
-6, -1, 12
Let 4/7*v**4 + 436/7*v**3 + 76908/7*v + 1900*v**2 + 104040/7 = 0. What is v?
-51, -5, -2
Let a(y) be the first derivative of y**6/60 + y**5/16 + y**4/48 - y**3/12 - 89*y + 250. Let t(r) be the first derivative of a(r). Factor t(q).
q*(q + 1)*(q + 2)*(2*q - 1)/4
Let a = 104165 + -104165. Let 0 + 2*y - 1/3*y**4 + 7/3*y**2 + a*y**3 = 0. Calculate y.
-2, -1, 0, 3
Factor 59/6*g + 0 - 1/6*g**3 - 29/3*g**2.
-g*(g - 1)*(g + 59)/6
Let v(m) be the second derivative of m**6/45 - m**5/10 - 5*m**4/6 + 19*m**3/9 + 10*m**2 + 48*m + 9. Determine f, given that v(f) = 0.
-3, -1, 2, 5
Let f = 648320 + -648318. Let 9/4 + 15/8*m**f - 51/8*m = 0. What is m?
2/5, 3
Factor 1/9*y**3 - 17/3*y - 2/3*y**2 - 44/9.
(y - 11)*(y + 1)*(y + 4)/9
Let d(l) be the first derivative of 12 + 242/3*l**3 + 1/24*l**6 + 165/8*l**4 + 8/5*l**5 - 1331/8*l**2 + 0*l. Find m such that d(m) = 0.
-11, 0, 1
Let v(l) = l**3 + l**2 + l. Let c(z) = -9*z**3 + 17*z**2 + 87*z. Let i = -420 - -422. Let t = 58 + -36. Let o(w) = i*c(w) + t*v(w). Factor o(j).
4*j*(j + 7)**2
Let l(a) be the second derivative of 9/2*a**2 + 5/4*a**3 + 0 + 33*a - 1/8*a**4. What is n in l(n) = 0?
-1, 6
Let h(p) = -p**2 + 54*p + 201. Let t(v) = -v + 3. Let a(l) = h(l) - 5*t(l). Solve a(d) = 0 for d.
-3, 62
Let z be 1*(2 + -8 - 1) - (-327)/45. Let k(w) be the second derivative of 19/90*w**4 + 20*w + 8/45*w**3 + 0 - z*w**2 + 7/150*w**5. Factor k(c).
2*(c + 1)*(c + 2)*(7*c - 2)/15
Let t(q) be the second derivative of -135/4*q**3 + 14*q + 15/8*q**4 + 0 - 1/24*q**5 - 9/2*q**2. Let s(z) be the first derivative of t(z). Solve s(j) = 0 for j.
9
Let h = 5783 + -5759. Let u(n) be the first derivative of -h*n - 2/9*n**3 + 4*n**2 - 16. Factor u(g).
-2*(g - 6)**2/3
Suppose -4*z - 441 = -11*z. Let o = -60 + z. Solve 12*n**2 + 6*n**4 - 5*n**3 + 32*n**o - 3*n**5 - 6*n**3 = 0.
-1, 0, 4
Factor -29/4*y + 5 - 5/8*y**2 + 3/8*y**3.
(y - 5)*(y + 4)*(3*y - 2)/8
Let y(d) = -7*d**3 - 17*d**2 + 5*d + 17. Suppose -2*u + 7*u = 10. Let k(x) = -x**3 - x**2 + 1. Let j(z) = u*k(z) - y(z). Suppose j(f) = 0. What is f?
-3, -1, 1
Let n(v) = -v**3 + v**2 + 3*v + 3. Let g be n(0). Suppose 310*a + 12*a**3 + 0*a**g + 136*a**2 - 266*a = 0. What is a?
-11, -1/3, 0
Let y(d) = -d**3 - 6*d**2 - d + 1. Let i be y(-6). Suppose -2*w + 0*w - 3*j = -16, i = 3*w - 4*j. What is q in -w - 4*q**2 + 5 - q**2 + 20*q = 0?
0, 4
Suppose -17*j = -14*j - 6. Suppose -4*z = -3*r - 8, -z - 5*r + j*r = -2. Let 10*t + z*t + 65*t**2 + 4 - 67*t**2 - 22 = 0. What is t?
3
Let j be -1 + ((-1)/(-1) - -3). Suppose j*c + 17 = 53. Determine x, given that c*x**2 - 29*x - 15*x**3 + 27*x + 5*x**3 = 0.
0, 1/5, 1
Let o be 13/(390/15)*0. Let a(j) be the third derivative of -3*j**2 + 0*j**4 + o + 0*j**3 + 0*j + 1/100*j**5. Factor a(z).
3*z**2/5
Factor -2/5*o**2 + 158/5*o + 0.
-2*o*(o - 79)/5
Let g(v) = 364 - 7*v**3 - 7*v - 751 + 19*v**2 + 366. Let m(c) = -c**3 + c**2 - c + 1. Let f(w) = -g(w) + 3*m(w). Find k such that f(k) = 0.
-1, 2, 3
Let c(f) be the third derivative of -f**6/300 - 143*f**5/150 - 84*f**4 + 1728*f**3/5 + 36*f**2 - 15. Determine s so that c(s) = 0.
-72, 1
Let v(l) be the second derivative of 1/12*l**5 + 145/36*l**4 + 325/6*l**3 - 375/2*l**2 + 73*l + 0. Factor v(w).
5*(w - 1)*(w + 15)**2/3
Let i(c) = -29*c**5 + 19*c**4 + 4*c**3 - 2*c**2 + 2*c + 4. Let a(k) = -30*k**5 + 18*k**4 + 3*k**3 - 3*k**2 + 3*k + 6. Let g(w) = 2*a(w) - 3*i(w). Factor g(d).
3*d**3*(d - 1)*(9*d + 2)
Let q(y) be the first derivative of 2*y**3/21 - 66*y**2 + 1840*y/7 + 2866. Factor q(c).
2*(c - 460)*(c - 2)/7
Let v(d) = 2 + 10*d + 3 - 15*d**2 + 0. Let g(s) = -s**2 + s. Let t(o) = -10*g(o) - v(o). Let t(c) = 0. Calculate c.
-1/5, 1
Let p(u) be the third derivative of -u**7/105 - u**6/5 - 9*u**5/10 + 10*u**4/3 + 12*u**2 + 5*u + 2. Factor p(q).
-2*q*(q - 1)*(q + 5)*(q + 8)
Let u(k) be the first derivative of 28*k**3/9 + 67*k**2/6 + 3*k - 705. Factor u(b).
(4*b + 9)*(7*b + 1)/3
Let h(d) be the second derivative of -24*d + 0*d**2 + 0*d**3 + 2 + 17/18*d**4 + 1/30*d**5. Suppose h(a) = 0. Calculate a.
-17, 0
Let d = 2 - -2. Let j be (-5 + 21)/(-16) - -1*5. Factor -15*k**4 - k**j - 74*k**2 + d*k**3 - 16*k**4 + 82*k**2 + 20*k**5.
4*k**2*(k - 1)**2*(5*k + 2)
Suppose 54*q**4 - 52*q**4 + 1040*q + 148*q**3 - 3893 + 1749 + 954*q**2 = 0. What is q?
-67, -4, 1
Let h(k) be the second derivative of -k**4/36 + 397*k**3/3 - 472827*k**2/2 + 2*k + 1016. Factor h(v).
-(v - 1191)**2/3
Let q = 1147/6 - 839/3. Let l = 93 + q. Let -l*o**4 + 4*o**2 + 3*o + 1/2 - 3*o**3 = 0. What is o?
-1, -1/3, 1
Find y, given that -91/5*y - 147/5 - 1/5*y**3 - 17/5*y**2 = 0.
-7, -3
Let j(r) be the first derivative of -2/21*r - 114 - 2/63*r**3 + 2/21*r**2. Factor j(g).
-2*(g - 1)**2/21
Let c be 24/68 + 17135/(-16422) - 10/(-12). Let -10/7*n**2 + c*n - 1/7*n**3 + 10/7 = 0. Calculate n.
-10, -1, 1
Let o be 1/(-2)*(30/(-6) - 9). Let y(b) = 33*b**2 + 528*b + 509. Let k(a) = -23*a**2 - 352*a - 339. Let p(h) = o*k(h) + 5*y(h). Factor p(i).
4*(i + 1)*(i + 43)
Suppose -486 + 2278 = 4*f. Let t be (f/(-252))/((-1)/3). Let 7/3*a**2 - t*a + 4/3 = 0. What is a?
2/7, 2
Let u be 64/20 + -3 - (-102)/(-85). Let w(p) = p**5 + 13*p**4 - p**2 + p. Let z(x) = -2*x**5 + x**2 - x. Let r(i) = u*w(i) - z(i). Determine n so that r(n) = 0.
0, 13
Let a be (162/45)/((-9)/(-120)). Suppose -52*s + a*s = -16. Factor 8*g**4 + 10*g**2 + 8*g**4 - 5 + 2*g**4 - 23*g**s.
-5*(g - 1)**2*(g + 1)**2
Suppose -7754 = -70*c - 4*c - 7532. Factor -2/15*a**c + 2/15*a**4 - 8/15*a**2 + 0 + 8/15*a.
2*a*(a - 2)*(a - 1)*(a + 2)/15
Let l(g) be the third derivative of 5*g**7/42 + 89*g**6/6 + 113*g**5/20 - 283*g**4/6 + 142*g**3/3 + 133*g**2. Factor l(x).
(x + 1)*(x + 71)*(5*x - 2)**2
Let z(d) = 2*d**3 + 14*d**2 - 38*d - 38. Let g(s) = 4*s**3 + 30*s**2 - 72*s - 78. Let l(v) = -3*g(v) + 5*z(v). Factor l(n).
-2*(n 