+ 3*x(m). What is u in w(u) = 0?
1/4, 2/3, 5
Let h(z) be the first derivative of -5*z**4/4 + 910*z**3/3 - 41405*z**2/2 + 600. Find n such that h(n) = 0.
0, 91
Let k(n) be the first derivative of -2*n**3/9 - 2*n**2/3 + 12. What is u in k(u) = 0?
-2, 0
Suppose -8*d = -d - 21. Factor -37*c**5 - 2*c**d - c**3 + 40*c**5.
3*c**3*(c - 1)*(c + 1)
Let m(z) be the first derivative of 256*z**6/45 + 3584*z**5/75 + 272*z**4/5 + 1184*z**3/45 + 97*z**2/15 + 4*z/5 + 61. Determine h so that m(h) = 0.
-6, -1/4
Let t be (-390)/(-4)*((-2380)/200 + 12). Find f such that 3/2 - t*f**3 - 51/4*f + 21*f**2 = 0.
2/13, 1
Let o be -2*(-138)/(-1260) + (-6)/(-21). Let h(x) be the second derivative of -o*x**3 - 2*x + 1/30*x**4 + 0 + 0*x**2. Determine z so that h(z) = 0.
0, 1
Let x(a) be the second derivative of -a**4/54 - 94*a**3/27 - 2209*a**2/9 - 3*a + 3. Factor x(o).
-2*(o + 47)**2/9
Factor -35*w + 295*w**2 - 28 - 306*w**2 - w**3 + 3*w.
-(w + 2)**2*(w + 7)
Factor 4/21*k**2 + 0 - 2/7*k**3 + 2/21*k**5 + 0*k + 0*k**4.
2*k**2*(k - 1)**2*(k + 2)/21
Let x(q) = 2*q - 2. Let p be x(3). Suppose -86 = -p*o - 30. Determine w, given that -42*w**4 - 123*w**3 + 6 + o*w - 51*w**2 - 21*w**4 + w = 0.
-1, -2/7, 1/3
Factor -1/3*i**3 - 2 - 4/3*i**2 + 11/3*i.
-(i - 1)**2*(i + 6)/3
Suppose 1/8*c**2 - 5/8*c + 1/4 + 1/4*c**3 = 0. Calculate c.
-2, 1/2, 1
Let s be (-50)/(-3) + 12/(-18). Let q be (-3)/(-4) - -12*(-1)/s. Find h such that 1/4*h - 3/4*h**3 + q - 1/2*h**2 = 0.
-1, 0, 1/3
Determine g, given that -3*g**2 + 3/4*g**4 + 0 + 6*g - 3/2*g**3 = 0.
-2, 0, 2
Let v(x) = x**2 - x - 1. Let q(m) be the second derivative of -3*m**4/4 + 5*m**3/3 + 4*m**2 + 17*m. Let f(k) = -5*q(k) - 40*v(k). Factor f(s).
5*s*(s - 2)
Let m(z) be the second derivative of -1/9*z**3 + 0 + 20*z - 2/15*z**2 - 1/150*z**5 - 2/45*z**4. Factor m(j).
-2*(j + 1)**2*(j + 2)/15
Let w be (-10)/(-8) + (-45)/(-60). Let t(x) be the third derivative of 3*x**w + 0*x + 1/180*x**5 + 0 - 1/72*x**4 + 0*x**3. Factor t(q).
q*(q - 1)/3
Let h(t) = -t**4 + 4*t**3 - 2*t**2 + 2*t + 2. Let n(f) = -2*f**4 + 5*f**3 - 3*f**2 + 3*f + 3. Let p(i) = -6*h(i) + 4*n(i). Solve p(w) = 0 for w.
-2, 0
Suppose -2*r = 5*k + 3*r, -5*r = -k + 24. Let l be (0/(k + -3))/2. What is c in 0*c + l + 0*c**4 - 1/4*c**5 + 0*c**2 + 0*c**3 = 0?
0
Let l(w) = -w**2 + 17*w + 21. Let z be l(18). Determine b, given that 11*b**3 + 4*b + 2*b**2 - 3*b**z - 10*b**3 = 0.
-1, 0, 2
Let l(d) be the first derivative of d**3/5 + 11*d**2/10 - 4*d/5 - 128. What is b in l(b) = 0?
-4, 1/3
Find r such that -3*r**4 - 1276*r**5 + 83*r**2 - 256*r + 636*r**5 - 531*r**2 - 240*r**3 + 636*r**5 - 49*r**4 = 0.
-4, -1, 0
Let g be (-3)/(-4) + ((-344)/(-160) - (-35)/350). Suppose -8/9 - 2*w + 4/9*w**4 + 2*w**g + 4/9*w**2 = 0. Calculate w.
-4, -1, -1/2, 1
Let m be -1 + (0 - 4 - (-3044)/360). Let j = m + -19/18. Find u such that 12/5*u - 4/5 - j*u**2 + 4/5*u**3 = 0.
1
Find t, given that 40/7*t**2 + 4/7*t**3 - 32/7 - 16/7*t**4 + 4/7*t**5 - 16/7*t = 0.
-1, 2
Suppose -28234*u = -28218*u - 32. Factor 0 + 6*d**2 + u*d + 11/2*d**3 + 3/2*d**4.
d*(d + 1)*(d + 2)*(3*d + 2)/2
Let t(r) be the second derivative of -r**4/6 + r**2 + 4*r - 11. Solve t(n) = 0.
-1, 1
Let z(u) be the first derivative of -u**4/6 - u**3 - 11*u + 1. Let o(s) be the first derivative of z(s). Determine r, given that o(r) = 0.
-3, 0
Let k(q) = 23*q**2 + 99*q - 32. Let v(w) be the first derivative of -4*w**3 - 25*w**2 + 16*w + 29. Let c(o) = -2*k(o) - 5*v(o). Factor c(l).
2*(l + 4)*(7*l - 2)
Let k = -56 + 178. Let a = -119 + k. Factor -21/5*b**5 + 0 + 27/5*b**4 - 6/5*b**a + 0*b**2 + 0*b.
-3*b**3*(b - 1)*(7*b - 2)/5
Let y(r) be the first derivative of 0*r**3 + 0*r**4 - 1/60*r**6 + 1/168*r**7 + 0*r**2 - 8 - 4*r + 0*r**5. Let k(z) be the first derivative of y(z). Factor k(l).
l**4*(l - 2)/4
Let q(i) be the third derivative of i**6/180 - 4*i**5/45 - 11*i**4/12 + 8*i**2 - 46*i. Let q(a) = 0. Calculate a.
-3, 0, 11
Let v be (-20)/4*(-4)/80. Let o(b) be the first derivative of -2 + 0*b - 1/6*b**3 - v*b**2. Suppose o(c) = 0. What is c?
-1, 0
Let k(x) be the first derivative of 7*x**5/5 + 5*x**4/4 - 16*x**3/3 + 2*x**2 - 196. Factor k(o).
o*(o - 1)*(o + 2)*(7*o - 2)
Factor q**5 - q**4 + 47*q**2 + 51*q**2 - 86*q**2 - 8*q**3.
q**2*(q - 2)**2*(q + 3)
Let h(t) be the third derivative of 0*t - 1/9*t**3 - 1/12*t**4 + 1/360*t**6 + t**2 + 1/420*t**7 - 1/40*t**5 - 6. Factor h(s).
(s - 2)*(s + 1)**2*(3*s + 2)/6
Let x(m) be the first derivative of m**4/40 - m**3 + 29*m**2/20 + 61. Let x(r) = 0. Calculate r.
0, 1, 29
Suppose -15*z = -11*z - 56. Factor z*x**2 - 16*x**2 + 4 + 4.
-2*(x - 2)*(x + 2)
Suppose -12 = -9*n + 33. Let x(r) be the third derivative of 6*r**2 + 0*r + r**3 - 1/30*r**n + 0 + 1/6*r**4. Let x(b) = 0. What is b?
-1, 3
Suppose -16 = 2*j - 6*j. Suppose -94 = -j*n - 6. Factor -2 + r**2 - 12*r**2 - 7*r**2 - 2 - n*r.
-2*(r + 1)*(9*r + 2)
Let l(w) be the first derivative of -w**4/4 + 118*w**3/3 - 3481*w**2/2 - 176. Factor l(d).
-d*(d - 59)**2
Let l(f) be the third derivative of -121*f**6/360 + 11*f**5/20 - 3*f**4/8 - 49*f**3/6 + 32*f**2. Let u(m) be the first derivative of l(m). Solve u(d) = 0.
3/11
Let i = 9245/4 - 2311. Determine k, given that 0*k + 9/4 - i*k**2 = 0.
-3, 3
Let l(m) be the first derivative of m**4/36 + 8*m**3/27 - m**2/18 - 8*m/9 + 28. Factor l(i).
(i - 1)*(i + 1)*(i + 8)/9
Let t = 6 - 4. Let -2*d**5 - d + 141*d**2 - 145*d**t + 6*d**3 + d = 0. Calculate d.
-2, 0, 1
Factor -1/9*d**2 - 46/9*d + 49/3.
-(d - 3)*(d + 49)/9
Let f = 7140 - 7135. Suppose 1/2*r**2 - 1/2*r**f - 1/2*r**4 + 1/2*r**3 + 0 + 0*r = 0. What is r?
-1, 0, 1
Find p such that -354/13*p**3 + 0 + 346/13*p**4 - 4/13*p - 114/13*p**5 + 126/13*p**2 = 0.
0, 2/57, 1
Suppose 132/25*i**2 - 132/25 - 2/25*i**3 + 2/25*i = 0. Calculate i.
-1, 1, 66
Let r(y) = 2*y**3 - 8*y**2 - 10*y. Let z be r(5). Let l be 256/(-672)*(6/(-8) - z). Factor -l*c**5 - 2/7*c + 8/7*c**4 - 12/7*c**3 + 8/7*c**2 + 0.
-2*c*(c - 1)**4/7
Solve -3/8*o**4 + 33/4*o**2 + 33/2*o + 3/8*o**3 + 9 = 0.
-2, -1, 6
Let j be (((-3)/(-18))/(8/(-12)))/(-5). Let g(q) be the first derivative of -j*q**4 + 5 - 1/15*q**3 + 0*q**2 + 0*q. Factor g(t).
-t**2*(t + 1)/5
Let m(g) be the second derivative of 7*g**5/15 - 5*g**4/6 - 4*g**3/3 - 5*g**2/2 + 10*g. Let c(d) be the first derivative of m(d). Factor c(s).
4*(s - 1)*(7*s + 2)
Suppose 4 = s + 2. Factor 7 - n**2 - 4 + 0*n**s - 2*n.
-(n - 1)*(n + 3)
Let g(l) be the third derivative of -l**8/896 - l**7/80 + 9*l**2 - 14. Solve g(d) = 0.
-7, 0
Suppose 0 + 10 = 5*x. Suppose 3*y - 9 = -u, 5*u = 6*u - 4*y + 12. Factor -9*q**x + 2*q + u*q**3 + q**3 + 12*q**2.
q*(q + 1)*(q + 2)
Let u(i) = -i + 16. Suppose 0 = -y - 0*y. Let j be u(y). Solve -29*s**2 + 11*s**2 - 8 + 8*s + j*s**2 = 0 for s.
2
Let u(f) be the third derivative of f**9/20160 + f**8/2240 + f**7/560 + f**6/240 + 3*f**5/20 + 5*f**2. Let y(x) be the third derivative of u(x). Factor y(w).
3*(w + 1)**3
Suppose 4*s + 63 = 5*t, s - 2 + 29 = 2*t. Solve -5 + 26 + t*h**2 - 70*h - 9 + 28 = 0 for h.
2/3, 4
Let l(m) be the second derivative of 0*m**2 + 0 + 21*m + 1/18*m**4 + 0*m**3. Suppose l(j) = 0. Calculate j.
0
Let b(p) be the first derivative of 26*p**3/3 - 15*p**2 + 4*p - 211. Suppose b(y) = 0. What is y?
2/13, 1
Let r(m) be the first derivative of -m**4/20 + 4*m**3/5 + 27*m**2/10 + 14*m/5 + 138. Find p, given that r(p) = 0.
-1, 14
Factor 223*p + 105*p + 86 + 3*p**2 - 82*p + 394.
3*(p + 2)*(p + 80)
Let k(r) be the third derivative of -r**5/150 - 7*r**4/20 - 38*r**3/15 + 83*r**2. Factor k(y).
-2*(y + 2)*(y + 19)/5
Suppose 0 = -2*f + m + 11, -4*f + 0*m + 10 = 2*m. Suppose 3*l = f*l. Factor -1/4*n**2 + 0*n + l.
-n**2/4
Let l be (-4)/(7 + -3)*(-1 + 1). Let n(w) be the second derivative of 1/14*w**7 - 1/5*w**6 - 3/20*w**5 + 1/2*w**4 + l*w**2 + 0 + w + 0*w**3. Factor n(q).
3*q**2*(q - 2)*(q - 1)*(q + 1)
Let y(a) be the third derivative of -a**6/480 - a**5/240 + a**4/48 + 145*a**2. Let y(n) = 0. What is n?
-2, 0, 1
Suppose 18*q - 16*q = 22. Suppose 0 = -q*s + 5*s + 18. Let 10/3*x**s + 0*x - 4/3*x**4 + 0 - 4/3*x**2 = 0. What is x?
0, 1/2, 2
Suppose 56 + 168 = 7*g. Factor -g*j - 12*j**4 - 2*j**5 + 5*j**2 + 29*j**2 + 14*j**2 - 2*j**3.
-2*j*(j - 1)**2*(j + 4)**2
Suppose -4*n = 4*s - 16, -s + 4*n - 1 + 10 = 0. Suppose -26*x + s*x = 0. Factor x*v + 5/4*v**3 + 0 +