 derivative of -p*t + 0 + t**3 + t**2 - 1/5*t**5 - 1/21*t**7 + 1/3*t**4 - 1/5*t**6. Let b(k) = 0. Calculate k.
-1, 1
Suppose -4*p**2 - 808 - 3*p**2 + 8*p**2 - 320*p - 5*p**2 - 5592 = 0. Calculate p.
-40
Let l(w) be the first derivative of w**3/3 - 23*w**2 - 47*w - 204. Determine b, given that l(b) = 0.
-1, 47
Factor -r**3 + 4*r**3 - 16*r**2 + 4*r**2 + 12*r + 27*r**2.
3*r*(r + 1)*(r + 4)
Let k(x) be the second derivative of 1/6*x**4 + x**3 + 9*x + 0 + 2*x**2. What is g in k(g) = 0?
-2, -1
Let s(p) be the first derivative of -p**5/140 - p**4/56 - 13*p**2/2 - 1. Let y(m) be the second derivative of s(m). Determine v so that y(v) = 0.
-1, 0
Let j = -38/3 - -196/15. Factor 0*k + 0 - 1/5*k**3 + 1/5*k**4 - j*k**2.
k**2*(k - 2)*(k + 1)/5
Let s = 0 - -3. Suppose 0*d + 6 = s*d. Factor -6*f**4 + 3*f**d - 7*f**4 + f**4 - 12*f**3 - 6*f**2.
-3*f**2*(2*f + 1)**2
Let f(z) be the first derivative of z**6/54 + 2*z**5/15 + 11*z**4/36 + 2*z**3/27 - 2*z**2/3 - 8*z/9 - 81. Factor f(g).
(g - 1)*(g + 1)*(g + 2)**3/9
Let l be 4/25*12/8. Let k = -8/75 + l. Factor 0*q + 0 - k*q**2.
-2*q**2/15
Let g(i) = 4*i**3 - 10*i**2 + 2 + 12*i + 0 - 23*i**2 + 7*i**2. Let p(k) = k**3 + 2*k**2 - 1. Let f(l) = -2*g(l) - 4*p(l). Factor f(v).
-4*v*(v - 3)*(3*v - 2)
Let m(y) be the third derivative of -4*y**7/45 + 23*y**6/60 - 8*y**5/15 + y**4/36 + 2*y**3/3 - y**2 - 5. Let m(p) = 0. Calculate p.
-2/7, 3/4, 1
Let k(h) be the first derivative of -52 + 7/2*h**4 + 343*h**2 - 1/10*h**5 - 2401/2*h - 49*h**3. Factor k(v).
-(v - 7)**4/2
Let b(y) = 39*y**3 + 3*y - 2. Let j be b(1). Factor -19 - 25*z**2 - j*z - 5*z**3 + 3*z**3 - 1 - 3*z**3.
-5*(z + 1)*(z + 2)**2
Let o(z) be the first derivative of 2*z**2 + 4/3*z**3 - 8*z - 11. Find t, given that o(t) = 0.
-2, 1
Let f(d) = 15*d**2 - 18*d - 12. Let q(l) = -6*l**2 + 7*l + 5. Let g be 6 - 3 - (-2 - 7). Let j(i) = g*q(i) + 5*f(i). Factor j(c).
3*c*(c - 2)
Let f(t) = 512 + 46*t**3 - 56*t + 118*t**3 + 52*t**4 - 512 + 56*t**2. Let p(v) = 35*v**4 + 109*v**3 + 37*v**2 - 37*v. Let l(c) = -5*f(c) + 8*p(c). Factor l(q).
4*q*(q + 1)*(q + 2)*(5*q - 2)
Let g(m) be the third derivative of -m**6/40 + 13*m**5/100 - 11*m**4/40 + 3*m**3/10 + 2*m**2 + 139*m. Find a such that g(a) = 0.
3/5, 1
Let x(k) = -15*k + 81. Let l be x(5). Let d be 11/(11/(-2)) - l/(-3). Factor d + 8/3*u**4 - 1/3*u**3 + 0*u - 5/3*u**5 - 2/3*u**2.
-u**2*(u - 1)**2*(5*u + 2)/3
Let g(a) be the second derivative of 13*a - 3/2*a**5 + 0*a**2 + 0*a**4 + 5/14*a**7 + 0*a**3 - 7/6*a**6 + 0. Factor g(c).
5*c**3*(c - 3)*(3*c + 2)
Let o(c) be the second derivative of c**6/10 + c**5/4 + c**4/8 + 5*c**2/2 - 5*c. Let r(h) be the first derivative of o(h). Suppose r(q) = 0. Calculate q.
-1, -1/4, 0
Let v = 10316 - 154892/15. Let d = v + 34/3. Solve -33/5*f + d + 27/5*f**2 = 0 for f.
2/9, 1
Let r(m) be the third derivative of -7*m**2 + 1/2*m**4 + 1/160*m**6 - 7/80*m**5 + 0 - 2*m - 3/2*m**3. Solve r(f) = 0.
2, 3
Let z(f) = -3*f**3 + 99*f**2 + 122*f + 11. Let t(i) = i**3 - 34*i**2 - 40*i - 4. Let h(n) = 11*t(n) + 4*z(n). Factor h(x).
-x*(x - 24)*(x + 2)
Factor -12 - 2 + 0*t**2 - 6 + 4*t**2 + 0*t**2 - 16*t.
4*(t - 5)*(t + 1)
Let f be ((-24)/28)/(6/42*-2). Let j(i) be the first derivative of 0*i - 2/5*i**f + 1/10*i**4 - 4 + 2/5*i**2. Factor j(w).
2*w*(w - 2)*(w - 1)/5
Let h(t) be the second derivative of -1/22*t**5 + 0 - 16*t + 0*t**2 - 1/231*t**7 + 0*t**3 - 4/165*t**6 - 1/33*t**4. Solve h(n) = 0 for n.
-2, -1, 0
Let t(s) = -s**3 + s**2 + s - 1. Let o(k) be the first derivative of -k**2/2 + k - 14. Let y(b) = -3*o(b) + t(b). Find m such that y(m) = 0.
-2, 1, 2
Let a be 16/88 - 106/(-22). Factor k + a*k - 3*k**2 - 8*k - k**3.
-k*(k + 1)*(k + 2)
Suppose 13*n = 10*n. Let x be n*(0 + (4 - 5)). Factor 4*c + 4*c**3 + 27*c**2 - 19*c**2 + x*c**3.
4*c*(c + 1)**2
Suppose 11 = 5*r + 31. Let q be r/(-7)*63/18. Let -4*m**2 - 9*m**4 + m**4 - q*m - 12*m**3 - 4*m**2 + 0*m - 2*m**5 = 0. Calculate m.
-1, 0
Suppose 5*k + 3*d = k - 632, -3*k = -d + 487. Let x = -159 - k. Factor -2/3*o - 1/3*o**x + 0.
-o*(o + 2)/3
Suppose -23 = g + 6*p - p, 31 = -5*g - 4*p. Let x be 9/(-9)*g/7. Let -3/7 - 1/7*u**3 + x*u**2 + 1/7*u = 0. What is u?
-1, 1, 3
Let s(x) be the third derivative of -1331*x**7/315 - 121*x**6/10 - 66*x**5/5 - 6*x**4 - 13*x**2. Determine f, given that s(f) = 0.
-6/11, 0
Let d(f) = -f**3 - 9*f**2 - 3*f - 18. Let t be d(-9). Let w be t/3 - (0 - -1). Factor 0 + 0*s - 1/6*s**3 - 1/3*s**w + 1/6*s**4.
s**2*(s - 2)*(s + 1)/6
Let d = -96911/72 + 1346. Let y(j) be the third derivative of -1/360*j**5 - 7*j**2 - d*j**4 + 0*j**3 + 0*j + 0. Factor y(r).
-r*(r + 2)/6
Suppose 0*d + 2*d - 6 = 0. Suppose -15*h**2 - 4*h**3 + 2*h**3 - 13*h - d*h**3 + 33*h = 0. What is h?
-4, 0, 1
Let f(m) be the third derivative of m**7/350 - 17*m**6/200 + 9*m**5/10 - 27*m**4/10 - 108*m**3/5 - 193*m**2 + 2. Factor f(l).
3*(l - 6)**3*(l + 1)/5
Let w(y) be the first derivative of -2*y**3/9 + 4*y**2/3 - 2*y - 581. Factor w(t).
-2*(t - 3)*(t - 1)/3
Let v = 0 - -20. Let h be 3/(-1) + 108/v. Find p, given that -6/5 - h*p**2 + 3*p + 3/5*p**3 = 0.
1, 2
Let x(q) be the third derivative of -q**8/560 + 4*q**7/175 - 17*q**6/200 + q**5/10 - 2*q**2 - 13*q. What is b in x(b) = 0?
0, 1, 2, 5
Let g(d) be the second derivative of -1/6*d**4 + 2/7*d**2 - 1/21*d**3 + 3/35*d**5 + 15*d + 0. What is q in g(q) = 0?
-1/2, 2/3, 1
Let j(b) be the first derivative of b**4/6 - 3*b**3 + 8*b**2 - b + 16. Let c(t) be the first derivative of j(t). Factor c(i).
2*(i - 8)*(i - 1)
Let a(i) be the third derivative of -i**8/280 - 31*i**7/525 - 137*i**6/450 - 14*i**5/25 - 2*i**4/5 - 243*i**2. Solve a(h) = 0.
-6, -3, -2/3, 0
Let z(y) = -y**4 - y**3 - y**2 - y. Let h(q) = 6*q**4 - 48*q**3 + 2*q**2 - 10*q. Let b(g) = h(g) - 10*z(g). Determine k so that b(k) = 0.
0, 3/8, 2
Let k(m) = 10*m**2 + 34*m + 106. Let l(g) = 5*g**2 + 5*g**2 + 19*g**2 + 103*g + 317. Let j(t) = -17*k(t) + 6*l(t). Solve j(y) = 0 for y.
-5
Let c(a) = -a**2 + 43*a - 220. Let t be c(37). Let -4/5*w + 2/5 + 2/5*w**t = 0. What is w?
1
Let v(r) be the third derivative of -r**6/140 - 3*r**5/140 + 3*r**4/56 + r**3/7 - 177*r**2 - 1. Factor v(g).
-3*(g - 1)*(g + 2)*(2*g + 1)/7
Suppose 0 = w + f - 2, w - 6*w + 4*f = -19. Find i, given that 1/2*i**2 - 1/4*i + 1/4*i**w - 1/2 = 0.
-2, -1, 1
Let n(u) be the third derivative of 0 + 0*u**3 + 0*u**5 - 1/48*u**4 + 1/240*u**6 + 0*u + 3*u**2. Solve n(s) = 0.
-1, 0, 1
Let s(m) be the third derivative of m**8/560 - 3*m**7/175 + 7*m**6/100 - 4*m**5/25 + 9*m**4/40 - m**3/5 - 82*m**2. Factor s(i).
3*(i - 2)*(i - 1)**4/5
Let y(h) = 2*h - 31. Let b be y(17). Factor -3*k**3 - b*k**2 + 189*k**4 + 5*k - 186*k**4 - 2*k.
3*k*(k - 1)**2*(k + 1)
Let x be (33/33)/((-2)/(-6) - 0). Let n(z) be the third derivative of 0*z - 3*z**2 - 1/12*z**4 + 2/3*z**x + 0 - 1/20*z**5 - 1/420*z**7 + 1/48*z**6. Factor n(s).
-(s - 2)**3*(s + 1)/2
Let s(n) be the second derivative of 0 + 0*n**2 + 5/12*n**4 + 4*n + 1/3*n**3. Factor s(b).
b*(5*b + 2)
Let m(n) = n**2 + 1306*n - 72600. Let s(w) = w**2 + 870*w - 48400. Let b(o) = 5*m(o) - 7*s(o). What is d in b(d) = 0?
110
Let p(r) be the second derivative of 2*r**6/15 + 3*r**5/5 + r**4/3 - 2*r**3 - 4*r**2 + 3*r - 6. Factor p(b).
4*(b - 1)*(b + 1)**2*(b + 2)
Let q be 119/(-17) + (-14)/(-2). Let v(b) be the first derivative of -b - 4 + 1/3*b**3 + q*b**2. Factor v(o).
(o - 1)*(o + 1)
Factor -1/8*l**3 + 0*l - 1/8*l**4 + 1/4*l**2 + 0.
-l**2*(l - 1)*(l + 2)/8
Let m(d) = -4*d + 54. Let b be m(13). Let o be 70/(-196) - (-3)/b. Suppose 2/7*r**3 + 0*r**2 - o*r + 0 = 0. Calculate r.
-2, 0, 2
Let f(r) = 3*r**4 - 22*r**3 - 93*r**2 + 360*r + 436. Let n(x) = -4*x**4 + 22*x**3 + 93*x**2 - 360*x - 437. Let a(l) = 5*f(l) + 4*n(l). Factor a(q).
-(q - 3)*(q + 1)*(q + 12)**2
Find h such that 26*h - 32*h**4 + 4 - 5*h**5 + 3*h**5 - 8*h**5 - 8*h**2 + 17*h**2 + 19*h**2 - 16*h**3 = 0.
-2, -1, -1/5, 1
Let h(l) be the third derivative of -l**6/360 - 7*l**5/180 + 17*l**4/72 - l**3/2 - 41*l**2 + 2. Factor h(n).
-(n - 1)**2*(n + 9)/3
Let b(n) be the second derivative of -n**6/10 + 9*n**4/2 - 243*n**2/2 + 119*n. What is c in b(c) = 0?
-3, 3
Let b(n) = -18*n + 1026. Let j be b(57). Let l(p) be the first derivative of 8/7*p**2 - 8/21*p**3 + 1/28*p**4 + 7 + j*p. Solve l(s) = 0 for s.
0, 4
Let k be 1 + 9/2 + 10/(-20). Solve 3 - 3*l 