e second derivative of 0*t**2 + 1/20*t**5 + 1/4*t**4 + 1/3*t**3 + 0 - t. Factor u(q).
q*(q + 1)*(q + 2)
Let m(z) be the third derivative of z**8/84 + 2*z**7/35 + z**6/30 - z**5/5 - z**4/3 - 4*z**2. Suppose m(w) = 0. Calculate w.
-2, -1, 0, 1
Let h be (1557/(-2422))/((-6)/14). Factor h*v**4 + 4*v**3 + 3*v**2 + 0*v - 1/2.
(v + 1)**3*(3*v - 1)/2
Let y = -195 + 595/3. Let l be ((-1)/(-2 - -1))/(-1) - -1. What is p in 2/3*p**2 + 4/3*p + l + y*p**4 - 16/3*p**3 = 0?
-2/5, 0, 1
Let a(t) = -t**4 - t**3 + t**2 - t - 1. Let n(r) = -3*r**5 + 4*r**4 + 8*r**3 - 4*r**2 + 5*r + 5. Let b(w) = -15*a(w) - 3*n(w). Let b(p) = 0. Calculate p.
-1, -1/3, 0, 1
Let u(s) = -s**3 - s. Let l be u(-1). Determine c, given that -3*c + 8*c**3 + 0 + 11*c + 2 + 12*c**2 + l*c**4 = 0.
-1
Factor -9/4*q**3 - 3/2*q + 21/4*q**2 + 0.
-3*q*(q - 2)*(3*q - 1)/4
Let v(w) be the third derivative of -w**9/1008 + w**8/1680 + w**7/420 + 2*w**3/3 - 2*w**2. Let c(p) be the first derivative of v(p). Let c(a) = 0. Calculate a.
-2/3, 0, 1
Let i be (36/(-30))/((-4)/(-10)). Let h = i - -5. Factor 0*p + 2/3*p**3 + 1/3*p**4 + 1/3*p**h + 0.
p**2*(p + 1)**2/3
Let z = 675 + -675. Suppose -2*x + 2 = -x. Factor z - 2/5*s**x - 2/5*s.
-2*s*(s + 1)/5
Suppose 6 = -3*p + 9. Let q(c) be the first derivative of 0*c**2 + 0*c**3 - 1/5*c**5 - 1/12*c**4 - 1/9*c**6 + p + 0*c. Solve q(j) = 0 for j.
-1, -1/2, 0
Let r(c) = 11*c**3 + 11*c**2 + 7*c - 7. Let w(y) = 6*y**3 + 6*y**2 + 4*y - 4. Let a(j) = -4*r(j) + 7*w(j). Let a(s) = 0. Calculate s.
-1, 0
Let l(t) = -20*t**4 - 82*t**3 - 112*t**2 - 38*t. Let y(n) = 40*n**4 + 163*n**3 + 224*n**2 + 77*n. Let p(i) = 13*l(i) + 6*y(i). Factor p(d).
-4*d*(d + 2)**2*(5*d + 2)
Let m(j) be the second derivative of j**7/630 + j**6/120 + j**5/180 - j**4/24 - j**3/9 + j**2/2 - j. Let b(u) be the first derivative of m(u). Factor b(n).
(n - 1)*(n + 1)**2*(n + 2)/3
Let y(w) be the third derivative of 7*w**5/60 + w**4/2 - 2*w**3/3 - 23*w**2. Solve y(r) = 0.
-2, 2/7
Suppose 21*p**5 + 4*p**2 - 4 - 6*p + 8*p**3 - 10*p**5 - 13*p**5 = 0. What is p?
-1, 1, 2
Suppose 11 = 2*w - 7. Suppose x**3 + 4*x**2 - x**2 + 5 - w = 0. What is x?
-2, 1
Let m(i) = -5*i + 4. Let t be m(0). Let j(f) be the second derivative of -3*f + 0 + 3/5*f**6 - 4/3*f**t - 3/10*f**5 + 0*f**2 + 4/3*f**3. Factor j(c).
2*c*(c + 1)*(3*c - 2)**2
Let b(k) be the first derivative of 8 + 2/9*k**4 - 26/27*k**3 + 11/9*k**2 - 4/9*k. Factor b(s).
2*(s - 2)*(s - 1)*(4*s - 1)/9
Let t(f) be the first derivative of 0*f + 2/5*f**5 + 0*f**2 - 1/9*f**6 + 2/9*f**3 - 1/2*f**4 - 3. Factor t(s).
-2*s**2*(s - 1)**3/3
Let q be 0/(1/((-2)/(-2))). Suppose -5*g = -q*g. Factor 1/4*w**2 + g*w + 1/4*w**3 + 0.
w**2*(w + 1)/4
Let s(f) be the second derivative of -f**7/6300 - f**6/450 - f**5/100 - f**4/6 - 6*f. Let c(d) be the third derivative of s(d). Factor c(u).
-2*(u + 1)*(u + 3)/5
Let j(i) = i**2 + 6*i + 3. Let r be j(-6). Let a(z) be the first derivative of 0*z**2 - 1/9*z**6 + 0*z**5 + 4/9*z**r + 1/2*z**4 + 2 + 0*z. Factor a(k).
-2*k**2*(k - 2)*(k + 1)**2/3
Let 13*b - b**3 - 12*b + 0*b**3 + 0*b**3 = 0. Calculate b.
-1, 0, 1
Let n = 1753/12 - 146. Let a(q) be the third derivative of 0*q - 1/60*q**5 - n*q**4 - 3*q**2 - 1/6*q**3 + 0. Let a(d) = 0. What is d?
-1
Let x(j) be the first derivative of j**6/1080 + j**5/120 + 4*j**3/3 + 1. Let i(w) be the third derivative of x(w). Suppose i(c) = 0. Calculate c.
-3, 0
Find i such that 0 + 0*i - i**2 - 1/2*i**3 = 0.
-2, 0
Let z = 2/2845 + 473/136560. Let s(b) be the third derivative of 1/96*b**4 + 0*b + 0 - 1/24*b**3 + 2*b**2 + z*b**5 - 1/480*b**6. Factor s(x).
-(x - 1)**2*(x + 1)/4
Suppose 5*b - 20 + 175 = 0. Let v = -27 - b. Factor 1/4*q**5 + 1/4*q - 1/2*q**3 + 1/4*q**v - 1/2*q**2 + 1/4.
(q - 1)**2*(q + 1)**3/4
Suppose 0 = -0*b + b - 3. Factor -z**3 + z**4 + z + 0*z + 0*z**b + 0*z**4 - z**2.
z*(z - 1)**2*(z + 1)
Let t(g) = g**2 - 4. Let a be t(-2). Let o(k) be the third derivative of a*k - k**2 + 1/50*k**5 - 4/15*k**3 + 1/300*k**6 + 0*k**4 + 0. Factor o(p).
2*(p - 1)*(p + 2)**2/5
Let m(w) be the third derivative of 0*w - 1/60*w**5 - 5*w**2 + 0 - 1/72*w**4 + 0*w**3. Find o, given that m(o) = 0.
-1/3, 0
Let p = -7/16 - -95/144. Factor 0*s**3 - 4/9*s**2 + 0 + 2/9*s**5 - p*s + 4/9*s**4.
2*s*(s - 1)*(s + 1)**3/9
Let b(g) be the second derivative of 8*g**7/105 + g**6/5 - g**5/4 + g**4/12 + 7*g**2/2 - 4*g. Let z(j) be the first derivative of b(j). Factor z(l).
l*(l + 2)*(4*l - 1)**2
Let i(o) be the third derivative of -o**6/180 - o**5/18 - 7*o**4/36 - o**3/3 - 11*o**2. Factor i(t).
-2*(t + 1)**2*(t + 3)/3
Factor -378/5*n**4 - 12/5*n - 39/5*n**3 + 84/5*n**2 + 0 - 243/5*n**5.
-3*n*(n + 1)**2*(9*n - 2)**2/5
Let o(y) = -y**3 - y**2. Let p(i) = i**3 + 4*i**2 + 4*i - 8. Let j(k) = -6*o(k) - 3*p(k). Find a, given that j(a) = 0.
-2, 2
Let m = 0 - -1. Suppose 3*a - 16 = -m. Suppose 3/5*c**4 + 0*c + 0*c**3 + 0*c**2 + 0 + 3/5*c**a = 0. What is c?
-1, 0
Let r(z) be the first derivative of 35*z**6/33 + 2*z**5/5 - 10*z**4/11 + 8*z**3/33 + 25. Let r(d) = 0. What is d?
-1, 0, 2/7, 2/5
Let f(j) be the third derivative of j**6/1980 + j**5/660 + j**3/3 + j**2. Let d(k) be the first derivative of f(k). Factor d(g).
2*g*(g + 1)/11
Let q(h) be the first derivative of 0*h + 3/14*h**4 + 2/35*h**5 - 4/7*h**2 - 1 + 0*h**3. Solve q(o) = 0.
-2, 0, 1
Factor 6/13*c + 0*c**2 - 2/13*c**3 + 4/13.
-2*(c - 2)*(c + 1)**2/13
Let r be ((-3)/3 + 2)*3. Let i be 10 - (1*6)/r. Let i*j + 5*j**3 - 49*j**4 - 4 + 3*j**3 + 53*j**2 + 98*j**5 - 114*j**3 = 0. What is j?
-1, -2/7, 2/7, 1/2, 1
Let r(q) be the second derivative of -q**8/480 - q**7/840 + q**6/80 - q**5/60 - q**4/4 - 3*q. Let v(j) be the third derivative of r(j). Solve v(y) = 0 for y.
-1, 2/7, 1/2
Let n(z) be the first derivative of 3*z**3 - 15/2*z**2 + 27/4*z**4 - 2 + 3*z. Find o such that n(o) = 0.
-1, 1/3
Factor -33*t - 8*t**2 + 1 + 51*t - 5.
-2*(t - 2)*(4*t - 1)
Suppose -42*c**4 - 4/3*c - 34*c**3 + 0 - 18*c**5 - 34/3*c**2 = 0. Calculate c.
-1, -2/3, -1/3, 0
Find y, given that y**2 + 20*y - 20*y + 7*y = 0.
-7, 0
Let i(j) be the second derivative of -j**7/210 - j**6/36 - j**5/15 - j**4/12 - j**3/18 - 2*j**2 - j. Let v(w) be the first derivative of i(w). Factor v(d).
-(d + 1)**3*(3*d + 1)/3
Suppose 0*j = j + 1. Let y(t) = t**4 - 5*t**3 - 11*t**2 - 7*t - 2. Let s(f) = -f**4 + f**2. Let q(r) = j*y(r) - 2*s(r). Solve q(h) = 0 for h.
-2, -1
Factor 2/5*t + 0 + 2/5*t**3 + 4/5*t**2.
2*t*(t + 1)**2/5
Let m = -9 + 11. Let u(k) be the third derivative of 0*k**3 - 2*k**m - 1/24*k**4 + 0 + 0*k - 1/60*k**5. Factor u(v).
-v*(v + 1)
Determine p so that -3/2*p**3 - 9/4*p**2 + 0*p + 3/4*p**4 + 0 = 0.
-1, 0, 3
Let x(k) be the second derivative of -5*k**7/42 - k**6/2 - k**5/2 + 5*k**4/6 + 5*k**3/2 + 5*k**2/2 - 36*k. Factor x(o).
-5*(o - 1)*(o + 1)**4
Let p(s) = 6*s**4 - 7*s**3 - 18*s**2 - 12*s + 7. Let o(i) = i**4 - i**2 - i + 1. Let n(a) = -21*o(a) + 3*p(a). Factor n(w).
-3*w*(w + 1)**2*(w + 5)
Let 1/3*y - 5/6*y**2 + 1/6*y**3 + 0 + 1/3*y**4 = 0. What is y?
-2, 0, 1/2, 1
Let z(w) be the first derivative of -9*w**4/2 - 20*w**3 + 23*w**2 - 8*w - 1. Suppose z(f) = 0. Calculate f.
-4, 1/3
Find s, given that -16*s**2 + 112*s**3 + 52*s**4 - 108*s**4 + 0*s**2 - 140*s**4 = 0.
0, 2/7
Let q be ((-12)/84)/(8/(-14)). Determine t, given that 0 + q*t**4 + 1/2*t**3 + 1/4*t**2 + 0*t = 0.
-1, 0
Let m(h) be the second derivative of 0 - h - 1/40*h**5 - 1/30*h**6 + 0*h**3 + 0*h**4 + 0*h**2 - 1/84*h**7. Find g such that m(g) = 0.
-1, 0
What is h in 153 - 4*h**3 - 153 + 8*h**4 - 8*h**2 + 4*h**5 = 0?
-2, -1, 0, 1
Suppose 12*p - 10 = 7*p. Factor 1/2 + 1/2*o**p + o.
(o + 1)**2/2
What is t in 4 - 2*t**2 - 1 + 5 + 6*t**2 + 12*t = 0?
-2, -1
Let p be ((-9)/12)/((-36)/32). Let -4/3*r**3 + 2/3*r**4 + 0*r**2 - p + 4/3*r = 0. Calculate r.
-1, 1
Let p(n) = 6*n**2 - 8*n + 7. Let q(m) = 7*m**2 - 9*m + 8. Suppose 3*v + 15 = 0, -2*t + 3*v = t. Let r(k) = t*q(k) + 6*p(k). Factor r(z).
(z - 2)*(z - 1)
Suppose 0 = -4*r + 3*r + 2*q - 2, 2*q = -2*r + 2. Factor 1/3*g**4 + 0*g**3 + 1/3*g**5 + r*g + 0 + 0*g**2.
g**4*(g + 1)/3
Let f(h) = h - 11. Let b(d) = 2*d - 22. Let q(u) = 3*b(u) - 7*f(u). Let w be q(7). What is k in -6*k**2 + 2*k**5 - k**3 + 3*k**3 + 6*k**w + 0*k**5 - 4*k = 0?
-2, -1, 0, 1
Let f = -9 - -12. Factor 0*b**2 + 7*b**2 + 0*b - 3*b - 5*b**f + b**3.
-b*(b -