1780*x = 0 for x.
2178
Let k(z) be the third derivative of -z**6/480 + 9*z**5/160 + 5*z**4/16 + 3*z**3 + 94*z**2. Let p(x) be the first derivative of k(x). Factor p(y).
-3*(y - 10)*(y + 1)/4
Let w(m) be the third derivative of m**6/72 + 25*m**5/24 - 65*m**4/12 - 5*m**3/3 - m**2. Let d(f) be the first derivative of w(f). Factor d(a).
5*(a - 1)*(a + 26)
Suppose 0 = -475*b + 516*b. Determine k so that 2/5*k**2 + 1/5*k**4 + 3/5*k**3 + b + 0*k = 0.
-2, -1, 0
Let m(d) be the first derivative of 1/8*d**4 + 19 - 3/80*d**5 - 1/40*d**6 - 10*d + 0*d**2 + 0*d**3. Let q(f) be the first derivative of m(f). Factor q(c).
-3*c**2*(c - 1)*(c + 2)/4
Let b = -2329 - -2329. Let r(p) be the second derivative of -1/50*p**5 + 0*p**3 + b + 9*p + 0*p**2 - 1/15*p**4. Suppose r(w) = 0. What is w?
-2, 0
Let k(r) be the second derivative of r**4 + 0 + 12*r**2 - 3/5*r**5 - 204*r - 2/15*r**6 + 22/3*r**3. Factor k(c).
-4*(c - 2)*(c + 1)**2*(c + 3)
Suppose y = 4*w, 3*y + 5*w - 19 = -2. Let r = -88 - -90. Let -2*x**y + 7 + 124*x**2 + x**3 - 7 - x**5 - 122*x**r = 0. What is x?
-2, -1, 0, 1
Let f(s) be the third derivative of s**8/84 + 32*s**7/105 - 13*s**6/15 - 164*s**5/15 - 191*s**4/6 - 136*s**3/3 - 131*s**2 + 4. What is a in f(a) = 0?
-17, -1, 4
Let f = 406 + -322. Suppose -p - 82 = -f. Factor 1/2*k**3 + 0 - k + 3/2*k**4 - 3/2*k**p + 1/2*k**5.
k*(k - 1)*(k + 1)**2*(k + 2)/2
Suppose -2*t + 333*s - 4242 = 330*s, -10 = 5*s. Let d = t - -8497/4. Factor 13/4*m**2 + 11/4 - 23/4*m - d*m**3.
-(m - 11)*(m - 1)**2/4
Let t be (1484/(-490) + 3)*(-35)/60. Let r(n) be the third derivative of t*n**6 + 0*n**3 - 36*n**2 + 0 - 1/9*n**4 + 0*n - 1/315*n**7 + 0*n**5. Factor r(m).
-2*m*(m - 2)**2*(m + 1)/3
Let z(c) be the third derivative of -c**7/336 + c**6/18 - 5*c**5/48 + 5*c**4/6 + c**3/6 - 6*c**2 - 2*c. Let s(p) be the second derivative of z(p). Factor s(i).
-5*(i - 5)*(3*i - 1)/2
Let v(d) be the first derivative of d**5/5 + 9*d**4/4 + 8*d**3/3 + 373. Factor v(c).
c**2*(c + 1)*(c + 8)
Let a(f) = -18*f**3 - 119*f - 6 - 7*f**2 + 4*f**4 - 116*f + 238*f. Let g(v) = -v**3 - v**2 + v - 2. Let m(w) = -a(w) + 3*g(w). Let m(k) = 0. Calculate k.
-1/4, 0, 4
Let h = -10143 - -10146. Let w(a) be the first derivative of -6*a**2 - 1 - 8*a**h - 3/5*a**5 + 0*a - 15/4*a**4. Suppose w(r) = 0. Calculate r.
-2, -1, 0
Let h(n) = -24*n. Let l be h(1). Let p(y) = -y - 22. Let i be p(l). What is w in -8*w**2 + 10*w**3 - 5*w**4 - 5 - 20*w - 15 + 23*w**i = 0?
-1, 2
Let q be (-198)/20 + 2/(-20). Let z(y) = -2*y**2 - 19*y + 13. Let n be z(q). Factor 18*x**2 - 11*x**2 - 4*x**3 - n*x**2.
-4*x**2*(x - 1)
Suppose 1412/3 + 710/3*l + 2/3*l**2 = 0. What is l?
-353, -2
Let t(z) be the third derivative of -z**5/12 - 1895*z**4/2 - 4309230*z**3 - 111*z**2 + 2*z. Factor t(m).
-5*(m + 2274)**2
Let h be -3 + 40/12 - (-4)/(-16). Let n(k) be the second derivative of 1/6*k**3 + 27*k - h*k**4 + 0 + 3*k**2. Suppose n(y) = 0. Calculate y.
-2, 3
Let c(z) be the first derivative of -5*z**6/6 - 5*z**5 + 45*z**4/4 + 65*z**3/3 - 70*z**2 + 60*z - 1870. Find g such that c(g) = 0.
-6, -2, 1
Let m be 3/7 - (-4)/(-1)*(-240)/210. Solve 0 + 3*a**4 - 7/4*a**m + 8*a**3 - 12*a**2 - 4*a = 0.
-2, -2/7, 0, 2
Let r(h) = -4*h**3 + 6*h**2 - 2*h. Let d(m) be the first derivative of 17*m**4/4 - 25*m**3/3 + 4*m**2 - 61. Let s(y) = 4*d(y) + 18*r(y). Factor s(v).
-4*v*(v - 1)**2
Suppose -43944 = -271*k - 43402. What is h in 2/13*h**k + 14/13 - 16/13*h = 0?
1, 7
Suppose -2/9*i**2 + 202/3 - 196/9*i = 0. Calculate i.
-101, 3
Factor 1071*o**2 + 181997172 + 1/2*o**3 + 764694*o.
(o + 714)**3/2
Let h(o) be the third derivative of 0 + 116*o**2 - 4/9*o**3 + 1/90*o**5 + 0*o - 1/12*o**4. Factor h(t).
2*(t - 4)*(t + 1)/3
Suppose -33*z = 90*z - 69*z. Let b(f) be the third derivative of -1/20*f**6 + z*f + 1/4*f**4 - 1/70*f**7 + 0*f**5 + 0 - 9*f**2 + 1/2*f**3. Factor b(m).
-3*(m - 1)*(m + 1)**3
Let p be ((-5)/(-2))/(54*(-395)/(-17064)). Factor -1/5*w**p + w + 6/5.
-(w - 6)*(w + 1)/5
Suppose 15*g = -14*g. Let n be (3/6)/((-1)/2)*0. Let -2/11*f**2 - 2/11*f**3 + n + g*f = 0. Calculate f.
-1, 0
Let x(b) = 32375*b**3 - 17*b**2 - 9 - 10 - 32374*b**3 - 37*b. Let i be x(19). Suppose i + 0*q**2 - 3/5*q**3 + 3/5*q**4 + 0*q = 0. What is q?
0, 1
Let i(x) be the first derivative of -9/10*x**2 + 1/15*x**3 + 8/5*x - 83. Factor i(b).
(b - 8)*(b - 1)/5
Let c(g) be the first derivative of -4/3*g**3 + 42*g**2 - 30 + 88*g. Determine a, given that c(a) = 0.
-1, 22
Let n(o) be the third derivative of -o**5/210 + 143*o**4/42 - 376*o**3/7 - o**2 - 20*o. Factor n(w).
-2*(w - 282)*(w - 4)/7
Let b(f) = 4*f**2 - 1442*f + 1434. Let g(h) = -h - 1. Let n(d) = -b(d) + 2*g(d). Factor n(t).
-4*(t - 359)*(t - 1)
Suppose -384*h + 145*h = -717. Suppose 40/3*n**5 - 140/3*n**4 + 50/3*n**2 + 5/2*n + 85/6*n**h + 0 = 0. What is n?
-1/4, 0, 1, 3
Let r = 1196 + -1196. Let t(s) be the third derivative of r - 1/360*s**6 + 0*s + 0*s**4 + 0*s**3 + 7*s**2 + 0*s**5. Factor t(v).
-v**3/3
Let u(l) be the second derivative of -l**5/10 + 23*l**4/6 - 76*l**3/3 - 2*l + 2889. Factor u(m).
-2*m*(m - 19)*(m - 4)
Factor 201/4*v + 144 + 3/4*v**2.
3*(v + 3)*(v + 64)/4
What is w in -309 - 316 - 518 + 27*w**2 - 3801*w + 297 = 0?
-2/9, 141
Let v(k) be the third derivative of k**8/294 + 52*k**7/735 - 179*k**6/420 + 101*k**5/105 - 95*k**4/84 + 16*k**3/21 + 1712*k**2. Solve v(w) = 0 for w.
-16, 1/2, 1
Let x be -1 + 60/42 - (-4 + 1255/315). Let a(c) = c**3 + 5*c**2 + c + 7. Let j be a(-5). Factor x - 2/9*n**j - 2/9*n.
-2*(n - 1)*(n + 2)/9
Suppose -57*u + 516 = -14*u. Let c be 6/u*28/70. Find q such that 1/5*q**2 + c*q + 0 = 0.
-1, 0
Let j(z) = -z**2 - 8*z + 81. Let m be j(6). Let l(t) = 2*t**2 + 3*t - 7. Let s be l(m). Let 25/2 - 5*y + 1/2*y**s = 0. Calculate y.
5
Let y = 554 + -432. Suppose 3*g**5 + g**5 - 131*g**3 - y*g**3 + 249*g**3 = 0. Calculate g.
-1, 0, 1
Suppose -64 = -3*b + 26. Let h be (-15)/b*(-3 - -2). Factor h*r + 1/2*r**2 + 0.
r*(r + 1)/2
Suppose 25*z - 2077 + 1927 = 0. Let j be (2 + 1)/(2/6). What is l in 3*l**3 + z*l**3 - 6 - 12*l**3 + j*l = 0?
-2, 1
Let s(b) = -52*b**3 - 125*b**2 - 487*b + 3. Let h(w) = -87*w**3 - 250*w**2 - 973*w + 5. Let f(t) = -3*h(t) + 5*s(t). Let f(r) = 0. Calculate r.
-121, -4, 0
Let q be ((-2576)/42)/(12/(-54)). Let u be 1 - (-1)/(-4) - (-345)/q. Determine p so that -45/4*p**4 - 25*p**3 + 25*p + 5 + 25/4*p**u = 0.
-2, -1, -2/9, 1
Let w = 299 + -295. Let f(g) be the second derivative of -1/14*g**7 + 0*g**5 + 0*g**2 + 0*g**3 + 13*g + 0*g**w + 0 + 1/10*g**6. Factor f(b).
-3*b**4*(b - 1)
Let f be 2/(-96)*(-17 - (-14 + -1)). Let m(b) be the third derivative of f*b**4 + 0*b**3 + 1/60*b**5 + 10*b**2 + 0*b + 0. Factor m(p).
p*(p + 1)
Let m(z) = 8*z**2 - 8*z + 3. Let b be m(1). Factor 9 - 3*k**2 + 13*k**b - 6 - 12*k**3 + 1.
(k - 2)**2*(k + 1)
Factor 23*b**3 + 1497*b - 1116 + 28*b**3 - 384*b**2 + 21*b**3 - 69*b**3.
3*(b - 124)*(b - 3)*(b - 1)
Suppose 0*w**2 - 29*w**2 + 54*w**2 - 128*w - 960 + 6*w**3 + 59*w**2 - 2*w**4 = 0. What is w?
-4, 5, 6
Suppose -543 + 183 = -8*v. Factor -v + 7*s - 5*s**2 + 16*s + 55.
-(s - 5)*(5*s + 2)
Let d(w) be the third derivative of w**6/90 + 24*w**5/5 + 3959*w**4/6 + 45796*w**3/9 + w**2 + 304. Let d(h) = 0. What is h?
-107, -2
Let g(j) be the first derivative of 245*j**3/3 - 235*j**2 - 40*j - 773. Find b, given that g(b) = 0.
-4/49, 2
Let h = 76739 + -76739. Suppose 3/4*a**4 + h - 15/4*a**3 + 21/4*a**2 - 9/4*a = 0. Calculate a.
0, 1, 3
Let d(n) = -20*n**3 - 700*n**2 + 772*n + 1728. Let q(j) = 8*j**3 + 280*j**2 - 309*j - 696. Let p(s) = -5*d(s) - 12*q(s). Determine w, given that p(w) = 0.
-36, -1, 2
Factor 120 + 1060*u + 7*u**2 - u**2 - u**2 + 697 + 238.
5*(u + 1)*(u + 211)
Let c = 154612 + -154602. Factor -2/3*y**4 - 8 - 26*y**2 - c*y**3 - 74/3*y.
-2*(y + 1)**3*(y + 12)/3
Suppose -34*q + 28*q + 800 = 94*q. Suppose q*o**5 - 74/5*o - 24/5*o**4 - 22*o**3 + 156/5*o**2 + 12/5 = 0. Calculate o.
-2, 1/2, 3/5, 1
Suppose -9*c - 54*h + 58*h + 4 = 0, 2*c + 4*h = -4. Determine p, given that -16/3*p**3 + 32/3*p**2 + 2/3*p**4 + c*p + 0 = 0.
0, 4
Let g(w) = 5*w**3 + w**2 - 2*w - 1. Let n(i) = 55*i**3 + 190*i**2 + 155*i - 10. Let q(z) = -10*g(z) + n(z). Find j, given that q(j) = 0.
-35, -1, 0
Let l(n) = n**2 - 9*n + 22. Suppose 0 = -7*h + 14 + 21. Let v be l(h). Factor 4*x**2 - 16*x + 135*x**3 - 136*x