3*r. Let x(u) be the first derivative of p(u). Let x(f) = 0. Calculate f.
-2, 0
Let h be 14/(-49) + ((-132)/28 - -7). Let m(p) be the second derivative of 0 + p**4 - 10*p + 4*p**h - 2/15*p**6 + 1/5*p**5 - 10/3*p**3. What is l in m(l) = 0?
-2, 1
Let d = 23 - 18. Factor f**3 - 2*f**3 + 0*f**3 + f**d.
f**3*(f - 1)*(f + 1)
Let x(a) be the third derivative of a**8/53760 - a**7/1920 - 19*a**5/60 - 9*a**2. Let c(l) be the third derivative of x(l). Factor c(q).
3*q*(q - 7)/8
Let i be (-1)/2*(0 - 0). Let a = -1271 + 1271. Solve -2/3*y**2 + i*y + a = 0 for y.
0
Determine k so that 22/9*k**2 - 4/3*k**3 + 40/3*k - 2/9*k**4 - 200/9 = 0.
-5, 2
Let h(y) = -14*y**3 - 47*y**2 + 221*y + 271. Let a(v) = -5*v**3 - 15*v**2 + 74*v + 90. Let t(b) = -17*a(b) + 6*h(b). Factor t(f).
(f - 24)*(f - 4)*(f + 1)
Let m(l) be the third derivative of 10*l**2 + 0*l**3 + 0 + 1/12*l**5 + 1/112*l**8 - 1/120*l**6 - 1/12*l**4 + 0*l - 1/42*l**7. Suppose m(x) = 0. Calculate x.
-1, 0, 2/3, 1
Let i(n) be the third derivative of -1/3*n**3 + 0 + 21*n**2 - 1/24*n**5 + 1/240*n**6 + 1/6*n**4 + 0*n. Factor i(m).
(m - 2)**2*(m - 1)/2
Suppose -12*d + 24 = -8*d. Let z = 8 - d. Let a(k) = -k - 1. Let v(i) = i**2 + 2*i + 2. Let n(w) = z*a(w) + v(w). Let n(c) = 0. Calculate c.
0
Suppose -5*x + 10 = -0*x. Suppose -2*b - 143 - 38*b - 32*b**x + 28*b**2 + 43 = 0. Calculate b.
-5
Let n(d) = d - 8. Let z be n(13). Determine l, given that z - 9 + 6*l - 2*l**2 + 0*l = 0.
1, 2
Let j = -6910 - -6912. Factor j*s + 0 + 5/3*s**2 - s**4 - 8/3*s**3.
-s*(s - 1)*(s + 3)*(3*s + 2)/3
Let h(t) be the third derivative of t**8/4032 + 13*t**7/630 - t**6/720 - 13*t**5/90 + t**4/288 + 13*t**3/18 + 13*t**2. Determine n, given that h(n) = 0.
-52, -1, 1
Suppose 5*w - 44 = -4*i, 4*w + 153 - 151 = 3*i. Solve -6/5*l**2 - 8/5*l - 8/15 + 4/15*l**3 + 2/5*l**w = 0.
-1, -2/3, 2
Let p(z) be the first derivative of -z**7/105 + 2*z**5/15 - 18*z**2 + 27. Let w(h) be the second derivative of p(h). Factor w(g).
-2*g**2*(g - 2)*(g + 2)
Let d = -13859 + 13859. Factor 3/2*i + d - 3/2*i**3 + 1/2*i**2 - 1/2*i**4.
-i*(i - 1)*(i + 1)*(i + 3)/2
Let k be (-2)/5 - 52/(-5). Find m such that 0*m + 5*m + k - 2*m**2 - 8 - m**2 = 0.
-1/3, 2
Suppose -3*j + 15 = -0*j. Suppose 3*k - 2*b - 2 = 0, 4*k = -k - j*b + 45. Let i(u) = 3*u**2 + 3*u - 2. Let v(g) = -1. Let x(d) = k*v(d) + i(d). Factor x(t).
3*(t - 1)*(t + 2)
Suppose -6 = 4*v + 5*u - 3*u, 5*v = -4*u - 12. Factor v*w + 2*w**2 - w + 3*w.
2*w*(w + 1)
Let s(i) be the second derivative of -i**4/21 - 26*i**3/7 + 80*i**2/7 + 2*i - 99. Factor s(f).
-4*(f - 1)*(f + 40)/7
Let o(x) = -x + 1. Let q be o(1). Let i be 2/(q - (-9)/6). Factor i*r**4 + 6*r**2 + 2/3 + 10/3*r + 14/3*r**3.
2*(r + 1)**3*(2*r + 1)/3
Suppose -3*f + 0*f + r + 113 = 0, 2*r = f - 46. Factor 108 - 33*j**2 + f*j**2 + 11*j + 25*j.
3*(j + 6)**2
Let u(n) = -n**3 + n**2. Let i(g) = -g**3 - 19*g**2 + 20. Let z(w) = i(w) + 4*u(w). Factor z(c).
-5*(c - 1)*(c + 2)**2
Suppose 33*q = 30*q + 12. Let k(f) be the first derivative of -q*f + 4/3*f**3 + 9 + 0*f**2. Factor k(b).
4*(b - 1)*(b + 1)
Let n be -4*1*(-3 - -2)/1. Factor 10*m**5 + 45*m**n + 30*m + 0*m - m**2 + 71*m**2 + 5 + 80*m**3.
5*(m + 1)**4*(2*m + 1)
Factor 0 + 0*n**2 - 8/5*n + 2/5*n**3.
2*n*(n - 2)*(n + 2)/5
Let m(p) be the first derivative of 3*p**5/20 - 13*p**4/16 - 59*p**3/12 + 21*p**2/8 + 137. Factor m(u).
u*(u - 7)*(u + 3)*(3*u - 1)/4
Let q = 56/25 + -46/25. Factor 1/5*b**4 + q + 1/5*b - 1/5*b**3 - 3/5*b**2.
(b - 2)*(b - 1)*(b + 1)**2/5
Let c(h) be the first derivative of -h**4/4 - 17*h**3/3 - 8*h**2 - 118. Factor c(p).
-p*(p + 1)*(p + 16)
Let 20*t**3 - 68*t**3 + 180*t**2 + 68354*t + 4*t**4 - 68554*t = 0. Calculate t.
0, 2, 5
Let b(f) = f**2 - f + 2. Let c be b(-2). Suppose y = -4 + c. Factor 76*v**3 + 4*v**y + 0*v**2 - 74*v**3 + 2*v**5 + 0*v**2.
2*v**3*(v + 1)**2
Let w(i) be the first derivative of i**5/540 - i**4/72 + i**3/27 + i**2/2 + 6. Let c(b) be the second derivative of w(b). Let c(q) = 0. What is q?
1, 2
Let c be (2 - -1)*4/9. Suppose -2*a = a - 12. Factor 1/3*b**5 + 0 - 4/3*b + 4/3*b**a + b**3 - c*b**2.
b*(b - 1)*(b + 1)*(b + 2)**2/3
Let g(q) = q**2 + 2*q - 1. Let d be g(-3). Suppose -d*s + 32 = s + 5*u, 4*u = 5*s - 4. Suppose 3*n**3 - s*n**3 - 3*n**3 + 4*n**2 = 0. What is n?
0, 1
Let r(s) = s**3 - 11*s**2 + 13*s - 3. Let u(w) = w**3 - 12*w**2 + 13*w - 2. Let q be 3 - (7/21)/(2/(-6)). Let o(p) = q*r(p) - 3*u(p). Solve o(y) = 0 for y.
1, 6
Let 3*o**2 - 18/7 - 3/7*o**4 - 15/7*o + 15/7*o**3 = 0. What is o?
-1, 1, 6
Let k(v) be the first derivative of -1/6*v**3 - 1/24*v**4 + 5/12*v**2 - 11 + 1/30*v**5 - 1/3*v. Let k(t) = 0. What is t?
-2, 1
Let 20/7*v**4 - 4/7*v**2 - 48/7*v**3 + 48/7*v - 16/7 = 0. What is v?
-1, 2/5, 1, 2
Suppose 9*s + 21*s - 15*s = 0. Suppose s = -6*o + 11*o. Factor 0*v + o*v**4 + 0*v**2 + 2/5*v**5 - 2/5*v**3 + 0.
2*v**3*(v - 1)*(v + 1)/5
Let b(o) = -5*o**2 + 14*o - 31. Let x(w) = -w**2 + 3*w - 6. Suppose -7 = 8*v + 25. Let a(n) = v*b(n) + 22*x(n). Solve a(s) = 0 for s.
1, 4
Let x(o) be the second derivative of o**4/16 - 3*o**3/2 + 27*o**2/2 + 41*o. Factor x(q).
3*(q - 6)**2/4
Let s(w) be the first derivative of 16 + 3/2*w**4 + 4/3*w**3 + 0*w - w**2 - 8/5*w**5 - 4/3*w**6. Suppose s(u) = 0. Calculate u.
-1, 0, 1/2
Let f(l) be the first derivative of -l**6/6 - 12*l**5/5 - l**4/4 + 78*l**3 - 80*l**2 - 384*l + 357. Solve f(n) = 0.
-8, -1, 2, 3
Suppose 0 = 3*o + 6*o + 9. Let k(m) = -3*m - 3. Let u be k(o). Determine b, given that u + 0*b**2 + 0*b + 2/7*b**3 = 0.
0
Let i(q) = -1. Let w(y) = 2*y - 6. Let u(h) = -5*i(h) + w(h). Let n be u(4). Factor -n*p - 54*p**2 - 6*p**3 + 3*p + 40*p**2.
-2*p*(p + 2)*(3*p + 1)
Let 176*w**2 - 58*w**3 + 4*w**5 - 46*w**3 + 16*w**4 + 373 - 124*w - 341 = 0. What is w?
-8, 1
Let k(b) = -2*b**3 + 28*b**2 - 22*b - 49. Let i be k(13). Solve 5/4*w**i + 5/4*w + 5/2*w**2 + 0 = 0.
-1, 0
Factor 3/2*b**4 + 33/2*b - 27/2*b**2 + 3/2*b**3 - 6.
3*(b - 1)**3*(b + 4)/2
Suppose -3 = -2*f - 5. Let z be f - -8 - (2 + 1). Suppose -12*g**5 + 7*g**5 - 10*g**5 - 40*g**z - 20*g**3 = 0. Calculate g.
-2, -2/3, 0
Suppose 1740 = 5*d - 3*f - 2*f, 0 = -5*f + 15. Determine o, given that -43 + 73 + 366*o**2 + d*o**3 - 6 - 243*o**4 - 204*o = 0.
-1, 2/9, 2
Let c(p) = p**2 + 1. Let r = 15 + -16. Let n(h) = 7*h**2 + 6. Let i(j) = r*n(j) + 6*c(j). Suppose i(q) = 0. Calculate q.
0
Let p(n) be the first derivative of -39/4*n**2 - 11/2*n**3 - 3*n + 23. Factor p(u).
-3*(u + 1)*(11*u + 2)/2
Let t(x) be the first derivative of -3*x**5/5 + 3*x**4/2 + 3*x**3 - 12*x**2 + 12*x + 92. Factor t(r).
-3*(r - 2)*(r - 1)**2*(r + 2)
Let q(l) be the first derivative of -l**6/60 + l**5/10 - l**4/6 - 7*l**2/2 + 1. Let j(f) be the second derivative of q(f). Find v, given that j(v) = 0.
0, 1, 2
Let j(t) be the first derivative of -3/10*t**5 - 7/8*t**4 + 3 - 1/2*t**3 - 3*t + 3/4*t**2. Let h(l) be the first derivative of j(l). Factor h(u).
-3*(u + 1)**2*(4*u - 1)/2
Let s be -12*(8 - (-99)/(-12)). Let y(w) be the second derivative of -1/30*w**4 + 0*w**s + 1/5*w**2 - w + 0. Factor y(o).
-2*(o - 1)*(o + 1)/5
Let u(y) be the second derivative of -y**5/4 + 85*y**4/12 - 198*y. Suppose u(o) = 0. What is o?
0, 17
Let k(s) = -5*s**4 + 13*s**3 - 17*s**2 + 6*s. Let w(y) = 11*y**4 - 27*y**3 + 35*y**2 - 12*y. Let f(p) = -7*k(p) - 3*w(p). Factor f(u).
2*u*(u - 3)*(u - 1)**2
Suppose -2/3*l**3 - 16/3*l**2 + 0 + 8/9*l + 34/9*l**4 + 4/3*l**5 = 0. Calculate l.
-2, 0, 1/6, 1
Let d be (-2)/22*33/(-18). Suppose -25/6*t + 0 - 5/2*t**2 - d*t**4 + 3/2*t**3 = 0. Calculate t.
-1, 0, 5
Let n = -155 - -262. Let q = n - 107. Determine v so that q + 2/7*v**3 - 2/7*v + 0*v**2 = 0.
-1, 0, 1
Let z be 31/55 + (-28)/140. Let o = -2836/11 + 258. Find y, given that -o*y**5 - 4/11 - z*y**4 - 2/11*y + 4/11*y**3 + 8/11*y**2 = 0.
-2, -1, 1
Let r be -1 + 0 + (-18)/(-10). Let x be (-8)/(-12) - 1/((-6)/(-4)). Factor -2/5*h**2 + r*h + x.
-2*h*(h - 2)/5
Let z(h) = h**2 - 6*h - 89. Let m be z(-7). Let l be 0 - -3 - (-22)/(-10). Solve 0 - 2/5*t**3 - l*t**m - 2/5*t = 0.
-1, 0
Suppose 5*s = -0*s + 40. Suppose 4*m - 4 - s = 0. Solve -w + m*w**3 - w**3 - 1 - w + w**2 = 0 for w.
-1, -1/2, 1
Let d(y) be the first derivative of -y**3/9 + 11*y**2/6 - 28*y/3 - 190. Determine n so that d(n) = 0.
4, 7
Factor -222 + 14*w**4 + w**5 + w**5 + 9*w**3 + 222 - 25*w**3