ve -2/7*l**2 + h + 0*l = 0.
0
What is y in 25 + 85*y**2 + 43*y - 48 - 148*y - 15*y**3 - 22 = 0?
-1/3, 3
Factor 0*d**3 + 0 + 2/5*d**5 - 4/5*d**4 - 2/5*d + 4/5*d**2.
2*d*(d - 1)**3*(d + 1)/5
Let i(x) be the third derivative of x**6/72 + x**5/36 - 5*x**4/36 - 8*x**2. Factor i(j).
5*j*(j - 1)*(j + 2)/3
Let s(k) be the second derivative of -k**9/15120 + k**8/1120 - k**7/280 - k**4/4 + 9*k. Let r(l) be the third derivative of s(l). Find g such that r(g) = 0.
0, 3
Let f(g) be the third derivative of -7*g**6/660 - g**5/330 - 9*g**2. Suppose f(y) = 0. What is y?
-1/7, 0
Let f(i) be the second derivative of -i**7/42 + 3*i**6/10 - 6*i**5/5 + 4*i**4/3 + i - 5. Let f(x) = 0. Calculate x.
0, 1, 4
Let g(t) = 5*t**3 + 5*t**2 + 10*t + 1. Let d(h) = h**3 - h**2 - 1. Let f(m) = 6*d(m) - 2*g(m). Suppose f(x) = 0. What is x?
-2, -1
Suppose 11*x - 16 = 6. Let m(k) be the first derivative of 3/10*k**4 + 0*k + 0*k**x + 2/15*k**3 - 8/25*k**5 + 2. Factor m(r).
-2*r**2*(r - 1)*(4*r + 1)/5
Suppose 0*l + 0*l + 4 + 8*l + 5*l**2 + 6*l**3 - 5*l**3 = 0. What is l?
-2, -1
Find p such that 3*p**2 - 4*p**2 - 3*p**2 - 2*p - 40 - 26*p = 0.
-5, -2
Suppose -9 = 3*q - 0*q, 4*m - 4*q + 16 = 0. Let s be (-64)/(-77) - (-2)/m. What is j in 4/11*j**2 - s*j**3 + 0*j + 6/11*j**5 + 0 - 4/11*j**4 = 0?
-1, 0, 2/3, 1
Factor 31*j**2 - 13*j**2 + 24*j**3 + 3 + 6*j**5 - 6*j - 24*j**2 - 21*j**4.
3*(j - 1)**4*(2*j + 1)
Let m(p) be the first derivative of -3*p**5/5 + 2*p**3 - 3*p + 8. Determine u so that m(u) = 0.
-1, 1
Let b be 1 + (-1)/(-3)*173. Let d = b - 58. Find m, given that -2/3*m**3 - 2/3 + 2/3*m + d*m**2 = 0.
-1, 1
Suppose -2*x = 2*x - 92. Suppose -3*p + 15 = 0, -5*p + x + 0 = -q. Determine n so that -2*n**q + 4*n - n - 2*n + n = 0.
0, 1
Let q(k) be the second derivative of -5*k**4/12 + 5*k**3/6 - k. Determine s, given that q(s) = 0.
0, 1
Let a(u) be the first derivative of -u**6/120 + 3*u**5/20 - 9*u**4/8 + u**3/3 - 2. Let v(l) be the third derivative of a(l). Find f such that v(f) = 0.
3
Factor -2/11*p**4 + 0*p + 0*p**2 - 4/11*p**3 + 0.
-2*p**3*(p + 2)/11
Suppose -m = -3*m - 2*h + 4, 3*m = -4*h + 7. Let k be 8/(m - 4/(-1)). Determine s so that 0 + 4/5*s + 2/5*s**4 + k*s**3 + 2*s**2 = 0.
-2, -1, 0
Let n(w) = w**3 + 6*w**2 - 2*w - 9. Let d be n(-6). Let s = 6 - 4. Solve -6*h**3 + d*h - h - 3*h**3 + 7*h**s = 0.
-2/9, 0, 1
Let m(r) = r + 28. Let a be m(-26). Factor 0 - a*b**2 - 2/3*b**4 - 2/3*b - 2*b**3.
-2*b*(b + 1)**3/3
Let h(u) be the third derivative of u**5/12 - 5*u**4/8 + 5*u**3/3 + 9*u**2. Factor h(a).
5*(a - 2)*(a - 1)
Factor 0*u**2 + 0 + 1/8*u**4 - 1/4*u**3 + 0*u.
u**3*(u - 2)/8
Let o(a) be the third derivative of -a**2 + 1/2*a**3 + 0*a + 1/40*a**5 + 0 + 3/16*a**4. Factor o(v).
3*(v + 1)*(v + 2)/2
Let g(j) be the first derivative of 3/2*j**2 - 2 + j**3 + 0*j. Factor g(q).
3*q*(q + 1)
Let a be 1*((-9)/(-6))/3. Factor -1/4 - a*z - 1/4*z**2.
-(z + 1)**2/4
Let d be (4/16)/((-8)/(-64)). Let s(c) be the second derivative of 0*c**3 - 2*c + 1/70*c**6 - 3/140*c**5 + 1/98*c**7 + 0 + 0*c**d - 1/28*c**4. Factor s(g).
3*g**2*(g - 1)*(g + 1)**2/7
Let i = 360 - 360. Factor 8/5*y**3 - 8/5*y**2 + i + 2/5*y.
2*y*(2*y - 1)**2/5
Let z(n) be the second derivative of n**4/48 - n**2/2 + 43*n. Determine q so that z(q) = 0.
-2, 2
Factor 0*p**3 - 3/5*p**4 + 3/5*p**2 + 0 + 0*p.
-3*p**2*(p - 1)*(p + 1)/5
Let c(x) be the first derivative of 1/14*x**4 + 0*x + 2/35*x**5 - 2/21*x**3 + 1 - 1/7*x**2. Suppose c(b) = 0. What is b?
-1, 0, 1
Let k(f) be the first derivative of -5*f**4/4 + 20*f**3/3 - 25*f**2/2 + 10*f + 27. Suppose k(j) = 0. Calculate j.
1, 2
Determine i so that -82*i**2 - 76*i**2 + 161*i**2 - 3*i = 0.
0, 1
Let a(s) be the third derivative of s**7/280 - s**6/96 + s**5/160 + s**3/6 - 6*s**2. Let q(t) be the first derivative of a(t). Factor q(v).
3*v*(v - 1)*(4*v - 1)/4
Let v(a) be the third derivative of 1/10*a**5 - 4/3*a**3 + 1/3*a**4 - 3*a**2 + 0 - 1/105*a**7 + 0*a - 1/30*a**6. Solve v(l) = 0.
-2, 1
Let a(v) be the third derivative of 0 + 1/84*v**4 + 2*v**2 - 1/735*v**7 + 0*v + 1/140*v**6 + 0*v**3 - 1/70*v**5. Factor a(c).
-2*c*(c - 1)**3/7
Let s(j) = -j**2 - 1. Let z(t) = 3*t**2 - 4*t + 1. Suppose -i = -4*r + 8, 2*r + i + 4 - 2 = 0. Let g(l) = r*z(l) + 4*s(l). What is v in g(v) = 0?
-3, -1
Let g(a) = a**3 - 27*a**2 + 46*a - 23. Let k(v) = -v**3 - v**2 - 1. Let c(m) = -g(m) + k(m). Find y such that c(y) = 0.
1, 11
Let m(p) be the third derivative of 0 + 1/120*p**5 + 0*p - 1/48*p**4 - 1/720*p**6 + 1/36*p**3 + 5*p**2. Factor m(i).
-(i - 1)**3/6
Suppose 11*v + 5*r - 10 = 6*v, -5*r = v - 10. Factor 1/2*d**3 + 0*d**2 + 0*d - 1/2*d**4 + v.
-d**3*(d - 1)/2
Let c = -17 - -17. Determine q so that c + 1/4*q**3 - 1/4*q - 1/4*q**4 + 1/4*q**2 = 0.
-1, 0, 1
Let o(j) be the second derivative of -1/15*j**3 - 1/10*j**2 + 0 - 1/60*j**4 + 9*j. Factor o(g).
-(g + 1)**2/5
Let f(g) be the first derivative of -g**7/630 - g**6/360 + g**2/2 + 3. Let h(w) be the second derivative of f(w). Factor h(b).
-b**3*(b + 1)/3
Let x(u) be the third derivative of -7*u**7/15 - 77*u**6/60 - 16*u**5/15 - u**4/3 + 12*u**2. Factor x(f).
-2*f*(f + 1)*(7*f + 2)**2
Let z be 6/4*(-8 + (-49)/(-6)). Determine h so that 1/4*h**5 - 1/4*h**3 + 0 + z*h**2 - 1/4*h**4 + 0*h = 0.
-1, 0, 1
Suppose 0*z - 5*z + 10 = 0. Let v(p) be the second derivative of 1/6*p**3 - 1/126*p**7 - p + 1/18*p**4 + 0 - 1/30*p**5 - 1/30*p**6 + 1/6*p**z. Factor v(r).
-(r - 1)*(r + 1)**4/3
Suppose -8*b + 20 = -4*b. Let n(w) = w**3 - 4*w**2 - 6*w + 8. Let a be n(b). Factor -1/5 - 4/5*g**a + 1/5*g**2 + 4/5*g.
-(g - 1)*(g + 1)*(4*g - 1)/5
Let a(g) = -22*g**4 - 38*g**3 - 20*g**2 + 20*g - 12. Let n(r) = r**4 + r**3 + r**2 - r + 1. Let s(d) = a(d) + 12*n(d). Factor s(o).
-2*o*(o + 1)*(o + 2)*(5*o - 2)
Let y(o) = -o**3 + o**2 + 1. Let z(k) = 4*k**4 - 9*k**3 + 5*k**2 + 1. Let w(f) = -y(f) + z(f). Factor w(b).
4*b**2*(b - 1)**2
Let z = -7 + 12. Let y(t) be the first derivative of 2*t + 13/6*t**3 - 3 - 3*t**2 - 3/4*t**4 + 1/10*t**z. Find u such that y(u) = 0.
1, 2
Suppose 2*p = -3*p. Let y = 2 + p. Find t such that -y + 4*t - 5*t + 2*t**2 + t = 0.
-1, 1
Let d(o) be the first derivative of -1/18*o**4 + 3 - 4/3*o**2 + 3*o + 4/9*o**3. Let l(r) be the first derivative of d(r). Factor l(j).
-2*(j - 2)**2/3
Let v(l) be the second derivative of -l + 7/10*l**5 + 0 - 2*l**2 - 8/3*l**4 + 11/3*l**3. Suppose v(f) = 0. Calculate f.
2/7, 1
Let f(m) be the second derivative of m**4 + 32*m**3/3 - 24*m**2 - 2*m. Solve f(z) = 0 for z.
-6, 2/3
Let i(f) be the first derivative of f**4/4 - f**3/3 - f**2/2 + f - 2. Factor i(r).
(r - 1)**2*(r + 1)
Factor -q**3 + q**5 + 0*q + 0*q + 308*q**2 - 3*q**4 - 305*q**2.
q**2*(q - 3)*(q - 1)*(q + 1)
Let q be (-5 - -3) + (-16)/(-8). Let i(n) be the second derivative of 0*n**2 - 1/12*n**4 + 0*n**3 + q + n. Let i(z) = 0. Calculate z.
0
Let a(o) be the first derivative of 0*o**3 + 0*o**2 - 2 - 1/24*o**6 + 0*o**4 + 0*o + 1/20*o**5. Find l such that a(l) = 0.
0, 1
Factor 6*s**3 - 13 - 7*s + 3*s**4 + s + 10.
3*(s - 1)*(s + 1)**3
Let a(i) be the second derivative of i**4/4 + 4*i**3 - 19*i. Factor a(b).
3*b*(b + 8)
Let y(x) be the third derivative of 0*x + 0*x**4 + 0*x**3 + 1/20*x**5 - 6*x**2 + 1/120*x**6 + 0. Let y(q) = 0. What is q?
-3, 0
Factor -2*n + 2*n**2 - 2 + 2*n + n - 3*n**3 + 2*n**3.
-(n - 2)*(n - 1)*(n + 1)
Let f = 129 + -126. Let -2/3*g**5 + 0 + 8/9*g**2 + 4/9*g**f - 8/9*g**4 + 2/9*g = 0. Calculate g.
-1, -1/3, 0, 1
Let q(y) be the second derivative of y**4/4 + y**3/6 - y**2 - 15*y. Factor q(g).
(g + 1)*(3*g - 2)
Let h(p) be the second derivative of -p**4/4 + p**3/2 - 26*p. Solve h(a) = 0.
0, 1
Factor 2*v**2 - 5*v - v - 32 - 6*v**2 - 18*v.
-4*(v + 2)*(v + 4)
Let k be (3 + (-28)/12)*-69. Let g = k - -232/5. Suppose 0 - g*v**2 - 2/5*v = 0. Calculate v.
-1, 0
Suppose 3*p + 37 = 7. Let y be ((-4)/p)/(42/30). Factor -2/7*z - y*z**2 + 0.
-2*z*(z + 1)/7
Let s(l) be the second derivative of -l**7/280 + l**6/360 + l**5/15 + l**4/6 + l**3/6 - 2*l. Let z(o) be the second derivative of s(o). What is d in z(d) = 0?
-1, -2/3, 2
Let b be (-2)/14 + 1/7. Let 2/7*x + 0 - 2/7*x**3 + b*x**2 = 0. What is x?
-1, 0, 1
Let d(l) be the third derivative of -l**8/1008 - l**7/1260 + l**6/180 + l**5/180 - l**4/72 - l**3/36 + 33*l**2. Suppose d(w) = 0. What is w?
-1, -1/2, 1
Find m, given that -58/9*