derivative of -1/135*w**5 + 0*w**3 - 2 - 1/9*w**4 + 0*w + 3*w**2. Solve z(p) = 0 for p.
-6, 0
Let l(p) be the third derivative of p**7/105 + p**6/15 - 37*p**5/30 - 10*p**4/3 + 2884*p**2. Find w such that l(w) = 0.
-8, -1, 0, 5
Let y(n) be the third derivative of -n**6/480 + 39*n**5/40 - 1121*n**4/8 - 3481*n**3/3 - 569*n**2. Factor y(w).
-(w - 118)**2*(w + 2)/4
Let a = 501 + -490. Suppose y - 2*y = a*y. Factor y + 4/3*l + 10/3*l**2 - 14/3*l**3.
-2*l*(l - 1)*(7*l + 2)/3
Let q(n) be the second derivative of n**7/14 - 9*n**6/10 - 9*n**5/20 + 25*n**4/4 + 9*n**3 - n - 326. Suppose q(i) = 0. What is i?
-1, 0, 2, 9
Let v = 294247/7 + -42143. Let h = v - -108. Determine n, given that -10/7 + 12/7*n - h*n**2 = 0.
1, 5
Let i(w) = 10*w**2 - w + 6. Let b be i(2). Suppose -b = -519*o + 497*o. Suppose -36/7*c + 162/7 + 2/7*c**o = 0. What is c?
9
Let x = 1/116302 + 2267887/232604. Let 3/4*p**3 + 15/4*p**2 - x*p + 21/4 = 0. What is p?
-7, 1
Suppose -45 = 4*o - 7*o. Let f be (8/10)/(1/o). Let 127*w**2 - 15*w + 15*w + f + 16*w**5 + 88*w - 135*w**3 - 8*w**4 = 0. What is w?
-3, -1/4, 2
Suppose -5*f + 4 = -3*y, 31 - 49 = -5*y - 4*f. Suppose r = -4*r. Let r - 1/7*j**3 - 2/7*j**y + 0*j = 0. What is j?
-2, 0
Let h(c) = -4*c**3 + 3*c**2 - 2*c - 4. Let n be ((-4)/5)/((-10)/175). Let z(x) = -x - x**3 - 7 + n - 8. Let g(f) = 3*h(f) - 15*z(f). Solve g(l) = 0.
-1
Suppose -5*v + 56 = 3*p + 5, -36 = -27*p + 2*v. Factor -116/13*u + 2/13*u**p + 1682/13.
2*(u - 29)**2/13
What is n in 204*n**3 + 8725 + 11273 - 27016*n + 5980*n**2 + 5*n**4 - 668*n**3 - 4510 + 7*n**4 = 0?
2/3, 11, 16
Let k(l) be the first derivative of -8*l**3 + 3/2*l**2 - 15 - 9*l. Let c(v) = -v**2 + v - 1. Let j(p) = -12*c(p) + k(p). Solve j(d) = 0.
-1, 1/4
Let l(u) = 2*u**3 + 13*u**2 + 4*u - 8. Let i be l(-6). Let a be ((-50)/(-40))/((-2)/(-32)). Factor a*q**3 + 0 + 40*q**i - 35/2*q**2 + 5/2*q.
5*q*(q + 1)*(4*q - 1)**2/2
Let j(i) be the second derivative of -i**6/120 + i**5/10 + 71*i**4/48 - 13*i**3/4 - 3*i + 326. Find g such that j(g) = 0.
-6, 0, 1, 13
Suppose -13*c**4 + 1/2*c**5 - 27*c**2 - 189/2*c + 0 + 54*c**3 = 0. What is c?
-1, 0, 3, 21
Suppose 1023*j - 2*j**2 + 6027*j + 5844 + 6*j**2 - 292*j - 910*j = 0. What is j?
-1461, -1
Factor 5848*c**2 - 5780*c + 1/5*c**4 + 0 - 341/5*c**3.
c*(c - 170)**2*(c - 1)/5
Let x be 5 - (-1)/(10/15 - 1). Let i be x + -2 + (-4)/6 + 2. Factor 0 - 2/3*h**3 - 2/3*h**2 + i*h.
-2*h*(h - 1)*(h + 2)/3
Let i(u) be the second derivative of 0 - 7/40*u**5 - 72*u + 17/12*u**4 + 75/8*u**2 + 1/120*u**6 - 65/12*u**3. Factor i(v).
(v - 5)**2*(v - 3)*(v - 1)/4
Suppose 7*g = 13*g - 36. Find r, given that 10*r - 41 + g*r**2 + 27 - r**3 + 20 - 21*r = 0.
1, 2, 3
Let d be 948/90 - (-2 - (3*21/(-27) + 1)). What is z in -d*z**3 - 108*z**2 - 1458/5 - 2/5*z**4 - 1944/5*z = 0?
-9, -1
Let z(p) be the second derivative of -p**4/20 - 19*p**3/5 + 24*p**2 + 3545*p. Factor z(r).
-3*(r - 2)*(r + 40)/5
Let y(g) be the first derivative of g**6/2340 - 7*g**5/780 - 3*g**4/26 - 97*g**3/3 - 31. Let c(x) be the third derivative of y(x). Factor c(z).
2*(z - 9)*(z + 2)/13
Let h(q) be the third derivative of q**5/90 + 359*q**4/36 - 40*q**3 + 11*q**2 - 10*q. Find m such that h(m) = 0.
-360, 1
Let b(j) be the third derivative of j**7/1050 + 23*j**6/50 + 4621*j**5/75 - 644*j**4 + 7840*j**3/3 - 37*j**2 + 17. Determine d, given that b(d) = 0.
-140, 2
Suppose -2*u + 15 = 3*u. Suppose 10*i - 170 = 27*i, 50 = 2*k + 175*i - 180*i. Factor 2/7*j**2 + 2/7*j**u + k*j + 0.
2*j**2*(j + 1)/7
Let l(k) = k - 1. Let q(h) = 21*h + 17. Let t(y) = -4*l(y) - q(y). Let n be t(-1). Factor -10 + n*c**3 + 16*c**2 - 6 + 2 - 2*c**4 - 12*c.
-2*(c - 7)*(c - 1)*(c + 1)**2
Factor -4*u**3 - 8*u**3 - 6*u**3 + 21*u**2 + 14*u**3 - 5*u + 0*u**3.
-u*(u - 5)*(4*u - 1)
Let t be (-3558)/13046*(0 + (-33)/54). Determine m so that -t*m**2 + 1 + 1/6*m = 0.
-2, 3
Let q(m) be the second derivative of m**4/6 - 2912*m**3/3 + 2119936*m**2 + 4934*m. Factor q(p).
2*(p - 1456)**2
Let i(c) be the third derivative of -c**7/280 + 43*c**6/240 + 3*c**5/4 + c**4 + c**3/3 - 13*c**2 + 4. Let k(b) be the second derivative of i(b). Factor k(s).
-3*(s - 15)*(3*s + 2)
Suppose -3*f + 2 = -4*a, 4*f + f - 8 = 2*a. Factor t**3 - 6*t**3 + 20*t - 4383*t**f + 4398*t**2.
-5*t*(t - 4)*(t + 1)
Factor 0 - 2/3*y**3 - 2*y + 8/3*y**2.
-2*y*(y - 3)*(y - 1)/3
Let t(j) = 57*j**3 - 1483*j**2 - 1852*j - 348. Let a(x) = -111*x**3 + 2964*x**2 + 3706*x + 694. Let z(o) = 4*a(o) + 7*t(o). Factor z(u).
-5*(u - 34)*(u + 1)*(9*u + 2)
Let o(s) be the first derivative of s**5 + 25*s**4/4 - 65*s**3/3 + 35*s**2/2 + 1241. Find j such that o(j) = 0.
-7, 0, 1
Factor 28*x**3 - 88 + 100*x + 2*x**2 + 8 - 29*x**3 - 3*x**2 - 54*x.
-(x - 5)*(x - 2)*(x + 8)
Let m = -74487 - -372453/5. Factor m - 12/5*i**2 + 69/5*i.
-3*(i - 6)*(4*i + 1)/5
Let k(x) = -202*x**2 - 31*x + 131. Let r(g) = 323*g**2 + 46*g - 197. Let w(v) = -8*k(v) - 5*r(v). Factor w(u).
(u - 3)*(u + 21)
Let g(u) be the first derivative of 4/9*u**5 + 19/18*u**4 + 0*u + 16/27*u**3 - 1/9*u**2 - 18. Find r such that g(r) = 0.
-1, 0, 1/10
Suppose 3*c = -4*q + 37, 2*q - 89 = -6*c - 21. Solve 38/3*u**2 + 0*u**4 - c*u - 16/3*u**3 + 1/3*u**5 + 10/3 = 0 for u.
-5, 1, 2
Let c(t) = -t**2 + 3*t + 2. Let a be c(3). Let k be 12/35 + 327/(-2289). Suppose k*b + 0 + 1/5*b**a = 0. Calculate b.
-1, 0
Let g be 11/(110/3040) + 0. Determine x so that 304*x**3 + 311*x**3 - 925*x**3 + 6*x - 9*x**2 + g*x**3 = 0.
-2, 0, 1/2
Let h(a) be the first derivative of -a**5/25 + 3*a**4/10 - 13*a**3/15 + 6*a**2/5 - 4*a/5 + 175. Let h(c) = 0. What is c?
1, 2
Let g = -1186 + 5966/5. Let b be ((-117)/(-18))/13*(5 + -2 - -3). Factor -b*v**2 + g*v - 12/5.
-3*(v - 2)*(5*v - 2)/5
Factor -1/4*h**2 + 0 - 23*h.
-h*(h + 92)/4
Suppose 371 = 8*a + 355. Let t(d) = d - 4. Let w be t(6). Suppose -f**a - w*f - 2*f**2 - 19*f - 18 = 0. Calculate f.
-6, -1
Let h = 91 - 89. Let z be 2/h + 305 + -1. Factor z*x**4 - 12*x**3 + 12 - 302*x**4 + 39*x**2 - 6*x**3 - 36*x.
3*(x - 2)**2*(x - 1)**2
Find r such that -36 + 262*r**4 - r**5 + 271*r**4 + 120*r**3 + 125*r - 569*r**4 - 184*r**2 + 5*r**5 + 7*r = 0.
1, 3
Let j(n) = -5*n**3 + 6*n**2 + 62*n + 6. Let r(x) = 11*x**3 - 7*x**2 - 123*x - 13. Let d(k) = 13*j(k) + 6*r(k). What is f in d(f) = 0?
-34, -2, 0
Suppose 1250 = 11*s - 1291. Factor -195 + 39*k + s + k**2 + 2*k**2.
3*(k + 1)*(k + 12)
Let f(u) be the first derivative of u**4/4 + 4*u**3/3 + 2*u**2 - 13. Let q be f(-2). Factor -2/3*j**3 - 4/3*j**2 - 2/3*j + q.
-2*j*(j + 1)**2/3
Let w(c) be the third derivative of 1/7*c**4 - 1/735*c**7 - 1/60*c**6 + 0*c + 0 - 2/105*c**5 + 4*c**2 + 0*c**3. Factor w(r).
-2*r*(r - 1)*(r + 2)*(r + 6)/7
Let f(p) = 2*p**3 - p**2 + p - 1. Let s(a) = 6*a**3 - 46*a**2 - 18*a - 6. Let k be (16/(-20))/((56/(-60))/7). Let o(w) = k*f(w) - s(w). Factor o(h).
2*h*(h + 6)*(3*h + 2)
Let p(j) = j**5 + j**4 + 4*j**2 - j + 1. Let g(z) = -6*z**5 - 76*z**4 + 25*z**3 + 371*z**2 - 19*z - 301. Let h(s) = g(s) + p(s). Let h(u) = 0. Calculate u.
-15, -2, -1, 1, 2
Let n(q) be the first derivative of -1/12*q**3 - 20 + 3/2*q**2 - 4*q - 1/24*q**4. Let p(x) be the first derivative of n(x). Solve p(b) = 0 for b.
-3, 2
Let w(n) be the third derivative of -11*n**2 + 0 - n**4 - 2*n + 11/3*n**3 + 1/30*n**5. Solve w(c) = 0 for c.
1, 11
Let z(o) be the second derivative of -8/3*o**3 - 35*o + 3*o**4 + 0*o**2 - 6/5*o**5 + 0 + 2/15*o**6. Find q such that z(q) = 0.
0, 1, 4
Let r(z) = -5 - 14750*z - 12 + 14757*z. Let y be r(3). Suppose 0 - 1/3*t**2 + 1/3*t**y - 1/3*t**3 + 1/3*t = 0. Calculate t.
-1, 0, 1
Let s = 4570 - 1147082/251. Let y = s + 562/1255. Suppose 0 - 18/5*p - 14/5*p**3 + 6*p**2 + y*p**4 = 0. Calculate p.
0, 1, 3
Let t(l) = 2*l + 2. Let i(p) = -p**2 - 2*p - 3. Suppose -q - 4 = -11. Suppose 0 = 3*n + q - 16. Let f(h) = n*t(h) + 2*i(h). Factor f(x).
-2*x*(x - 1)
Let m be 4/3*(55/22 - 1). Determine f so that 4*f**m + 104*f - 89*f - 27 - 131*f + 11 - 104 = 0.
-1, 30
Suppose 4*r - 2*r = 2*t - 6, -2*t + 6 = -4*r. Let i be ((-14)/(-1))/(24 + -22). Solve -38*g - 25*g - 5 - g**t + 52*g - i*g**2 = 0 for g.
-5, -1
What is r in -120 - 1/2*r**2 + 61*r = 0?
2, 120
Let u = 57156 - 57156. Let 0 + u*l + 8*l**3 + 2/7*l**4 + 56*l**2 = 0. What is l?
-14, 0
Suppose 5*i = 26 - 1. Suppose 0 = i*j + 3*m - 63, 2*m - 55 - 12 = -5*j. Let -12*a - 15