l(s) = 0 for s.
-2, -2/7
Let j(y) be the third derivative of 0*y**3 + 1/12*y**4 + 1/30*y**5 + 23*y**2 + 0*y + 0. Find i such that j(i) = 0.
-1, 0
Find f, given that 79/5*f**2 + 18 - 159/5*f - 9/5*f**3 - 1/5*f**4 = 0.
-15, 1, 2, 3
Let c(o) be the second derivative of -o**7/5040 + o**6/720 + o**5/80 - 17*o**4/12 - 4*o. Let w(q) be the third derivative of c(q). Let w(m) = 0. Calculate m.
-1, 3
Let a(z) = -z**2 - 5*z + 11. Let y be a(-6). Suppose -5*q = m + 18, y*m - 14 = -3*q + 4*q. Factor -8/9 + 2/3*n**m + 0*n + 2/9*n**3.
2*(n - 1)*(n + 2)**2/9
Suppose -2*f - 5*b + 0*b + 248 = 0, f - 129 = -5*b. Let c = 121 - f. Factor 0 - 4/5*i**3 + 2/5*i**4 + 0*i + 0*i**c.
2*i**3*(i - 2)/5
Let c = -14211/35 - -2053/5. Determine b so that -24/7*b**4 + 64/7*b**3 + 96/7*b**2 - 18/7*b**5 + 0 + c*b = 0.
-2, -2/3, 0, 2
Suppose -9*d - 55 = -20*d. Let u(j) be the second derivative of 4*j + 1/120*j**d + 0*j**2 - 1/36*j**4 + 0 + 1/36*j**3. Find h, given that u(h) = 0.
0, 1
Let h = -33 - -35. Find s, given that 289*s + 5*s**h - 2*s**2 - 277*s = 0.
-4, 0
Let v(f) be the third derivative of 25*f**8/4032 + f**7/126 + f**6/360 + 45*f**2. Determine r, given that v(r) = 0.
-2/5, 0
Suppose -9 - 7*a - 5*a + 3*a**2 - 10*a + 28*a = 0. Calculate a.
-3, 1
Let p(v) be the second derivative of -1/4*v**5 - 5/2*v**3 + 0 + 5/2*v**2 - 5*v + 5/4*v**4. Find s such that p(s) = 0.
1
Suppose -2*b + 6*b + 3*f + 7 = 0, -b = -2*f - 12. Let d(q) be the first derivative of 12 + 2/27*q**3 + b*q + 2/3*q**2. Factor d(i).
2*(i + 3)**2/9
Let s be 12/(-28) - (-38)/7. Suppose -5*f + 29*f**5 + f**2 + 3*f**4 + 3*f**3 - 28*f**s + 5*f = 0. Calculate f.
-1, 0
Let a(w) = w**3 - w + 1. Let o(n) = -4*n**3 - n**2 + 2*n - 2. Let q(y) = 3*a(y) + o(y). Let r(s) = 7*s - 1. Let b(g) = 2*q(g) + 2*r(g). Factor b(v).
-2*v*(v - 2)*(v + 3)
Let a(v) be the first derivative of -5*v**3/3 + 55*v**2/2 + 210*v - 144. Factor a(t).
-5*(t - 14)*(t + 3)
Factor -79 - 9 + 3*t**2 - 78*t + 17 - 10.
3*(t - 27)*(t + 1)
Factor 0 - 78/19*b**3 + 2/19*b**4 + 42*b**2 - 38*b.
2*b*(b - 19)**2*(b - 1)/19
Factor 0 - 4/11*m**2 + 1/11*m**4 + 2/11*m**3 - 8/11*m.
m*(m - 2)*(m + 2)**2/11
Let x be -8*45/70*((-20)/3 + 2). Factor 1/2*w**3 - 32 - 6*w**2 + x*w.
(w - 4)**3/2
Let -73/6*g**3 - 10/3 + 16/3*g + 9/2*g**2 - 1/2*g**5 + 37/6*g**4 = 0. Calculate g.
-2/3, 1, 10
Factor 7/3*w**2 - 16 - 10/3*w.
(w + 2)*(7*w - 24)/3
Suppose 0*n = -3*n. Suppose -k**5 - 2*k**3 - 3*k**3 + 6*k**3 + n*k**3 = 0. Calculate k.
-1, 0, 1
Let q be ((-75)/27 - 0) + (-20)/90. Let k(t) = t**3 + t**2 - t - 1. Let p(y) = 11*y**2 + 4*y + 6*y**3 + 4 - 4 - 5. Let m(l) = q*p(l) + 15*k(l). Factor m(z).
-3*z*(z + 3)**2
Let u(h) be the second derivative of 0*h**5 + 15*h - 1/30*h**6 + 0*h**3 + 1/3*h**4 + 0 + 0*h**2. Determine g, given that u(g) = 0.
-2, 0, 2
Let j = 5320/23 + -31897/138. Factor -1/2*b**3 + 0 + 0*b - j*b**4 - 1/3*b**2.
-b**2*(b + 1)*(b + 2)/6
Let n(r) be the first derivative of -r**6/3 + 12*r**5/5 - 7*r**4/2 - 4*r**3 + 8*r**2 - 18. Solve n(l) = 0 for l.
-1, 0, 1, 2, 4
Let t(o) be the first derivative of 1 - 6*o - 3/14*o**2 + 1/28*o**4 + 0*o**3. Let x(j) be the first derivative of t(j). Factor x(v).
3*(v - 1)*(v + 1)/7
Let n be (-45)/(-2)*(20/(-30))/(-2). Let w(g) be the first derivative of -10/3*g**3 + 6 - n*g**2 - 5/12*g**4 + 0*g. Factor w(j).
-5*j*(j + 3)**2/3
Let k be (1 + 2*2)*18/135. Let r(n) be the second derivative of 6*n - 1/18*n**4 - 5/9*n**3 + 1/15*n**5 - k*n**2 + 0. Factor r(f).
2*(f - 2)*(f + 1)*(2*f + 1)/3
Let o = 306 - 304. Let d(a) be the first derivative of -3/10*a**o + 3 - 1/20*a**4 - 1/5*a - 1/5*a**3. Factor d(u).
-(u + 1)**3/5
Suppose -88 = m - 90. Suppose -5*z**3 - 8*z - 8*z - 30*z**m - 28*z - z = 0. Calculate z.
-3, 0
Factor 3*z**5 + 15*z - 12*z**4 + 5*z**2 - 168*z**3 + 310*z**3 + 7*z**2 - 160*z**3.
3*z*(z - 5)*(z - 1)*(z + 1)**2
Let u = 4323/5 - 12959/15. Let -5/6*t**4 + 5/2*t**2 - 1/3*t**3 + u + 8/3*t = 0. Calculate t.
-1, -2/5, 2
Let a = -76 - -161. Let v = 87 - a. Factor 3/5*z**3 + 0 + 0*z - 3/5*z**v.
3*z**2*(z - 1)/5
Suppose -5*q = 2*v - 10, 17 = -q - 5*v - 4. Let z(s) = s**3 - 2*s**2 - 8*s + 3. Let d be z(q). Let 4/5*o + 0 + 14/5*o**2 + 16/5*o**d + 6/5*o**4 = 0. What is o?
-1, -2/3, 0
Suppose -373 - 347 = 5*c. Let n = c - -579/4. Let -n*h**4 - 3/4*h**3 + 0 + 3/4*h**5 + 0*h + 3/4*h**2 = 0. Calculate h.
-1, 0, 1
Let m(k) = 13*k**2 - 29*k + 16. Let p(r) be the first derivative of -20*r**3/3 + 22*r**2 - 24*r - 24. Let n(v) = 8*m(v) + 5*p(v). Factor n(u).
4*(u - 2)*(u - 1)
Let l(y) = -y**3 - 14*y**2 - 25*y - 8. Let a be l(-12). Let q(h) be the first derivative of 9/4*h + 1/16*h**a + 15/8*h**2 + 7/12*h**3 + 2. Factor q(k).
(k + 1)*(k + 3)**2/4
Let z(g) be the second derivative of g**5/5 - g**4/3 - 4*g**3 + 63*g. Find i such that z(i) = 0.
-2, 0, 3
Let r be (-20625)/(-2250) + (-2)/(-60). Suppose -28/5 - 6/5*o**2 - r*o = 0. What is o?
-7, -2/3
Let p(q) be the first derivative of 16 + 0*q - 1/5*q**3 + 9/10*q**2 - 1/4*q**4 - 1/25*q**5. Factor p(h).
-h*(h - 1)*(h + 3)**2/5
Let a(v) be the second derivative of -v**4/6 - 20*v**3 - 900*v**2 - 246*v. Factor a(j).
-2*(j + 30)**2
Let s(z) = 10*z - 10 - 3 - z. Let b be s(5). Factor 25 - 5 - 16 + b*k + 12*k**2 - 20 - 36*k**3.
-4*(k + 1)*(3*k - 2)**2
Let w = -82 - -248/3. Let i(m) be the first derivative of w*m**3 - m**2 - 4*m + 3. Factor i(r).
2*(r - 2)*(r + 1)
Let x(z) be the third derivative of z**8/84 + 2*z**7/15 + 13*z**6/30 - z**5/5 - 3*z**4 - 33*z**2. Determine r, given that x(r) = 0.
-3, -2, 0, 1
Find f such that 500*f - 4*f**3 - 455*f + 15*f**4 - 145*f**2 + 90 - f**3 = 0.
-3, -2/3, 1, 3
Determine p so that -2*p**4 - 3*p**4 - 14*p**3 - 95*p**2 - 465*p - 26*p**3 + 405*p = 0.
-4, -3, -1, 0
Factor 14/5*l**2 + 2/15*l**3 - 16/3 + 12/5*l.
2*(l - 1)*(l + 2)*(l + 20)/15
Factor 32/5*h + 64/5 + 4/5*h**2.
4*(h + 4)**2/5
Let c(o) be the second derivative of -7/120*o**4 - 9/200*o**5 + 0*o**2 + 0 + 1/30*o**3 + 4*o. Factor c(m).
-m*(m + 1)*(9*m - 2)/10
Let r(w) be the first derivative of -w**6/120 + w**5/40 + w**4/4 + 10*w**3/3 + 23. Let a(d) be the third derivative of r(d). Factor a(b).
-3*(b - 2)*(b + 1)
Let k(l) be the first derivative of -16 + 4*l**3 + 6/5*l + 27/20*l**4 + 39/10*l**2. Solve k(r) = 0 for r.
-1, -2/9
Let v be ((-36)/30)/(-3) + 8/5. Factor 10/9*n**v + 2/3*n**3 - 2/9*n**5 + 4/9*n - 2/9*n**4 + 0.
-2*n*(n - 2)*(n + 1)**3/9
Suppose -t = 3*g - 17, -g - 9 = -4*t + 7. Suppose 5*i + 3*x + x + 6 = 0, 0 = g*i + 4*x + 8. Find k, given that -6 - i*k**3 + 0 + 2*k + 6 = 0.
-1, 0, 1
Let k(n) be the second derivative of 5*n**4/12 - 115*n**3/6 + 225*n**2 - 100*n + 5. Find o such that k(o) = 0.
5, 18
Suppose 3*i - 8 = -x, 5*x = -2*i - 0*i + 1. Suppose 6 = 3*t - l, -i*l + 0*l = 2*t - 15. Factor t - 3*w**2 - 9/2*w.
-3*(w + 2)*(2*w - 1)/2
Suppose 65*m = 66*m - 4. Let l(j) be the first derivative of 0*j**3 - 4 + 1/6*j**m + 0*j**2 - 2/15*j**5 + 0*j. What is y in l(y) = 0?
0, 1
Let n be (2*2 + 0)*(-10)/(-20). Factor -8*f**3 - 3*f**n - 8*f**2 - 4*f + 0*f**2 - 2*f**4 + f**2.
-2*f*(f + 1)**2*(f + 2)
Suppose -518*g + 517*g - n - 4 = 0, -2*g + 20 = -2*n. Let -11/2*o + 11/2*o**g + 9/2*o**4 - 1 - 7/2*o**2 = 0. Calculate o.
-1, -2/9, 1
Factor 2 - 12*q**2 - 15*q - 14*q**3 - 8 - 4*q**3 + 15*q**3.
-3*(q + 1)**2*(q + 2)
Let s be (-312)/(-480) + (-2)/8. Factor 0 + 0*p**2 - 2/5*p**4 + 0*p - 4/5*p**3 + s*p**5.
2*p**3*(p - 2)*(p + 1)/5
Let o be 1*-3 + (-17 - (-1204)/49). Factor o*r + 18/7*r**2 - 8/7.
2*(r + 2)*(9*r - 2)/7
What is o in -162/5 - 216*o - 540*o**2 - 600*o**3 - 250*o**4 = 0?
-3/5
Let x(g) be the second derivative of 11*g**4/24 + 2*g**3/3 - 3*g**2/4 - 707*g. Factor x(n).
(n + 1)*(11*n - 3)/2
Let j(o) be the third derivative of -o**5/90 - o**4/6 + 23*o**2. Suppose j(w) = 0. Calculate w.
-6, 0
Let q(o) = -15 - 5*o**2 + 14*o + 27*o - 6*o - 5. Let w(i) = -7*i**2 + 53*i - 30. Let y(x) = -8*q(x) + 5*w(x). Factor y(c).
5*(c - 2)*(c - 1)
Let x = 1153/2 + -575. Let w(m) be the first derivative of m + 1/4*m**4 + x*m**2 + m**3 + 3. Find c such that w(c) = 0.
-1
Let 194 - 11 - 66*i - 102*i + 4*i**2 + 79 + 58 = 0. What is i?
2, 40
Let n(c) be the second derivative of -3*c**5/20 - 7*c**4/4 - 15*c**3/2 - 27*c**2/2 + 8*c - 1. Let n(t) = 0. Calculate t.
-3, -1
Let x(q) be the third derivative of -q**8/140 + 13*q**7/630 - q**5/30 + q**4/2 - 22*q**2. Let 