 + v*f**3.
3*f*(f - 1)*(f + 1)**2/2
Let n(t) = 9*t**4 + 21*t**3 + 13*t - 13. Let g(u) = -4*u**4 - 10*u**3 - 6*u + 6. Let y(v) = 13*g(v) + 6*n(v). Determine d, given that y(d) = 0.
0, 2
Let u(h) be the first derivative of -h**6/15 - 7*h**5/30 - 7*h**4/24 - h**3/6 + 5*h**2/2 + 2. Let k(r) be the second derivative of u(r). Factor k(g).
-(g + 1)*(2*g + 1)*(4*g + 1)
Find f such that 13*f**4 - 60*f + 3*f**3 - 24 + 22*f**2 - f**4 - 64*f**2 + 3*f**5 = 0.
-2, -1, 2
Let j(t) be the third derivative of 1/36*t**4 + 0*t - 1/18*t**3 + 0 - 1/180*t**5 - 3*t**2. Find i, given that j(i) = 0.
1
Suppose 3 = 4*i - 29. Suppose 0 = -2*x - 4 + i. What is z in 0*z**x + 0 + 0*z + 1/3*z**3 = 0?
0
Let b(q) be the third derivative of -1/210*q**7 + 3*q**2 - 1/24*q**4 + 0 + 0*q + 0*q**3 + 1/60*q**5 + 1/120*q**6. What is h in b(h) = 0?
-1, 0, 1
Let p(g) = -2*g**2 - 3*g - 8. Let i(r) = -2*r**2 - 4*r - 8. Let h(f) = -5*i(f) + 4*p(f). Find z such that h(z) = 0.
-2
Determine a, given that 2/5*a**3 - 4/5*a - 6/5*a**4 + 0 + 2/5*a**5 + 6/5*a**2 = 0.
-1, 0, 1, 2
Let c be (-155)/(-25) + 2/(-10). Factor -c*m + 3*m**2 - 1/2*m**3 + 4.
-(m - 2)**3/2
Let q = -743/3 + 248. Find t, given that -2/3*t**2 + 0*t + 2/3*t**4 + 0 + q*t**3 - 1/3*t**5 = 0.
-1, 0, 1, 2
Let t be 5 + (-18)/14 + 6/21. Let i be (-1)/3 + (-26)/(-6). Determine n so that n + n**i - 2*n**4 - 5*n**4 + t*n**2 + n**3 = 0.
-1/2, -1/3, 0, 1
Let c(n) = n**2 - 5*n - 9. Suppose 3*j - l = -j + 27, 2*j = 5*l + 9. Let d be c(j). Factor -2*g**5 - 7*g**3 - g**d + 2*g**5 + 8*g**3.
-g**3*(g - 1)*(g + 1)
Suppose 0*a - a = -5. Let s(r) = r**2 - 5*r + 2. Let d be s(5). Find c such that 4*c**3 + 0*c**3 - 7*c**2 + a*c**d - 2*c**4 = 0.
0, 1
Let n(a) = a**2 - 2*a + 4. Let u(v) = -v**2 + 2*v - 3. Let k(g) = 2*n(g) + 3*u(g). Factor k(f).
-(f - 1)**2
Let d(t) be the third derivative of -t**8/90720 + t**6/3240 + t**5/60 - 6*t**2. Let w(z) be the third derivative of d(z). Determine b, given that w(b) = 0.
-1, 1
Let a = -11 - -13. Determine i, given that 1/4*i**a + 0 + 3/4*i**5 + 7/4*i**4 + 0*i + 5/4*i**3 = 0.
-1, -1/3, 0
Let r = -376 - -18049/48. Let j(x) be the third derivative of 0 + 0*x + x**2 - r*x**4 - 1/240*x**5 + 0*x**3. Let j(w) = 0. Calculate w.
-2, 0
Let m(z) be the third derivative of -z**7/1260 + z**6/360 + z**5/30 - 5*z**4/24 + z**2. Let j(b) be the second derivative of m(b). Factor j(d).
-2*(d - 2)*(d + 1)
Let p(h) be the third derivative of -h**8/2856 - h**7/1785 + h**6/204 - h**5/170 - 8*h**2 + 6*h. Factor p(q).
-2*q**2*(q - 1)**2*(q + 3)/17
Let n be 16/3*(-9)/114. Let z = n - -89/76. Solve 3 + 3*u + z*u**2 = 0.
-2
Suppose -3*l = -4*a - l, -3*a + 4*l = 10. Factor -o**3 - a*o**2 + o**3 - o**2 + 3*o**3.
3*o**2*(o - 1)
Factor -4*h**3 + 7/4*h**4 + 0 + 11/4*h**2 - 1/2*h.
h*(h - 1)**2*(7*h - 2)/4
Let p be 2/7*(180/(-8))/(-15). Factor 0*n + 3/7*n**2 + p*n**3 + 0.
3*n**2*(n + 1)/7
Let u(h) be the first derivative of h**3/15 - 3*h**2/5 + 9*h/5 + 4. Factor u(z).
(z - 3)**2/5
Factor -2*v**4 + v**4 + 12*v**3 - 3*v**4 + 6*v**2 - 14*v**2.
-4*v**2*(v - 2)*(v - 1)
Let j(h) = h**3 - h**2 + 2*h + 2. Let y(i) be the first derivative of i**4/2 - 2*i**3/3 + 5*i**2/2 + 5*i - 1. Let k(c) = -15*j(c) + 6*y(c). Factor k(m).
-3*m**2*(m - 1)
Let k = 148 + -1183/8. Let z(s) be the second derivative of -1/8*s**3 + 0 + k*s**2 - s - 1/12*s**4. Factor z(g).
-(g + 1)*(4*g - 1)/4
Let n be (1 - 5) + 0 + 0. Let p(y) = -3*y**3 + 3*y**2 + 4. Let l(g) = 2*g**3 - 1 - 2 + 0 - 2*g**2. Let a(v) = n*l(v) - 3*p(v). Factor a(z).
z**2*(z - 1)
Let d = 37/4 - 9. Suppose -d - h - 3/4*h**2 = 0. Calculate h.
-1, -1/3
Let v(l) = -245*l**3 + 144*l**2 - 16*l. Let r(o) = -735*o**3 + 431*o**2 - 49*o. Let c(t) = -4*r(t) + 11*v(t). Factor c(u).
5*u*(7*u - 2)**2
Let n = 10 + -8. Solve 2/3 + 2/3*m - 2/3*m**3 - 2/3*m**n = 0.
-1, 1
Let a(j) be the first derivative of -2*j**3/3 + 10*j**2 - 50*j + 3. Factor a(b).
-2*(b - 5)**2
Factor 2*p**5 - 53 - 2*p**4 + 53.
2*p**4*(p - 1)
Let f(a) be the second derivative of a**4/60 - 2*a**3/15 + 3*a**2/10 + 42*a. Factor f(i).
(i - 3)*(i - 1)/5
Let m(z) be the second derivative of -z**7/14 - 3*z**6/10 - 3*z**5/10 + z**4/2 + 3*z**3/2 + 3*z**2/2 - 8*z. What is f in m(f) = 0?
-1, 1
Let q be 7/(21/(-6)) + 7. Determine x so that x**4 + 3*x**4 - 11*x**5 + 9*x**q = 0.
0, 2
Let a(h) = 3*h - 5. Let i be a(5). Factor -2*m**4 + 2*m**2 - i + 10.
-2*m**2*(m - 1)*(m + 1)
Let i(v) be the first derivative of -2*v**6/3 + 4*v**5/5 + 3*v**4 - 4*v**3/3 - 4*v**2 + 24. Let i(l) = 0. What is l?
-1, 0, 1, 2
Suppose 22 = -3*y - 2. Let d be (14/70)/(y/(-10)). Find j, given that 0 - 1/2*j - 1/4*j**2 + d*j**4 + 1/2*j**3 = 0.
-2, -1, 0, 1
Let t(z) = 21*z**3 - 27*z**2 - 3*z + 27. Let b(j) = -5*j**3 + 7*j**2 + j - 7. Let x(r) = 9*b(r) + 2*t(r). Factor x(i).
-3*(i - 3)*(i - 1)*(i + 1)
Let d(n) be the second derivative of 1/70*n**5 - 1/42*n**4 - 5*n + 0 - 2/21*n**3 + 0*n**2. Determine h so that d(h) = 0.
-1, 0, 2
Let q be (32 + 0)*(-27)/(-30). Let c = q - 28. Find n such that -c*n**3 - 2/5 + 4/5*n**2 - 2/5*n**4 + 2/5*n + 2/5*n**5 = 0.
-1, 1
Let v = 26 - 23. Factor -2/5*p**4 - 12/5*p**2 - 8/5*p + 2*p**v + 16/5.
-2*(p - 2)**3*(p + 1)/5
Let w = 1 + 1. Let o(y) = y - 2. Let p be o(4). Suppose w - 3*h**p + 3*h**2 + 3*h + h**2 = 0. What is h?
-2, -1
Let f(n) be the third derivative of 0*n + 0*n**4 + 1/15*n**5 - 1/3*n**3 + 0 + n**2 + 0*n**6 - 1/105*n**7. Factor f(y).
-2*(y - 1)**2*(y + 1)**2
Suppose -7 = -f + 5*r, 2*r + 8 = 3*f - 0*r. Solve -1/6*t**3 + 1/3 - 1/3*t**f + 1/6*t = 0.
-2, -1, 1
Let c(b) be the first derivative of -1/12*b**4 + 0*b**2 + 0*b + 0*b**3 - 1. Factor c(n).
-n**3/3
Let v(p) be the second derivative of p**6/120 + p**3/3 - 3*p. Let j(q) be the second derivative of v(q). Factor j(u).
3*u**2
Suppose -2/9*u**4 + 2/3*u**3 - 2/9*u**2 - 2/3*u + 4/9 = 0. Calculate u.
-1, 1, 2
Let y(x) be the second derivative of 2*x**6/25 - 39*x**5/100 + 3*x**4/4 - 7*x**3/10 + 3*x**2/10 - x - 12. Find w such that y(w) = 0.
1/4, 1
Let m(i) be the third derivative of 6*i**2 - 1/6*i**4 - 1/210*i**7 + 0*i + 0 + 0*i**3 - 2/15*i**5 - 1/24*i**6. Factor m(c).
-c*(c + 1)*(c + 2)**2
Suppose -12*p + 36 = -0*p. Let a(i) be the second derivative of -1/6*i**4 + i + 0 - i**2 + 2/3*i**p. Factor a(q).
-2*(q - 1)**2
Let f be (-12)/(-630)*20 + 2/7. Factor f*s + 0 - 2/3*s**2.
-2*s*(s - 1)/3
Let u(o) be the second derivative of o**10/45360 + o**9/7560 + o**8/3360 + o**7/3780 + o**4/4 + o. Let n(k) be the third derivative of u(k). Factor n(v).
2*v**2*(v + 1)**3/3
Let v(k) be the second derivative of k**7/8820 - k**5/420 - k**4/6 + 2*k. Let x(i) be the third derivative of v(i). Determine w, given that x(w) = 0.
-1, 1
Let m(c) be the second derivative of -2/5*c**2 - 4/15*c**3 - 1/15*c**4 + 0 - 3*c. What is d in m(d) = 0?
-1
Let c(f) = -13*f - 1. Let p be c(-1). Factor -p*q**2 + 0*q**2 - q**2 - 1 + 3*q**3 + 18*q**4 - 7*q.
(q - 1)*(2*q + 1)*(3*q + 1)**2
Let q(c) = c**4 - 4*c**3 + 3*c**2 - 2*c - 2. Let a(m) = -2*m**4 + 9*m**3 - 7*m**2 + 5*m + 5. Let s(z) = 4*a(z) + 10*q(z). Let s(b) = 0. Calculate b.
0, 1
Let a(z) be the first derivative of -3/5*z**2 + 2/15*z**3 - 4/5*z - 5 + 2/25*z**5 + 3/10*z**4. Let a(w) = 0. Calculate w.
-2, -1, 1
Let a be 6 - (4/(-22) - 280/(-88)). Let d(w) be the second derivative of 2*w + 0 - 1/24*w**a - 1/48*w**4 + 0*w**2 + 1/120*w**6 + 1/80*w**5. Factor d(v).
v*(v - 1)*(v + 1)**2/4
Let j = -183 - -551/3. Factor j*m + 2/3*m**4 + 7/3*m**2 + 0 + 7/3*m**3.
m*(m + 1)*(m + 2)*(2*m + 1)/3
Let b(h) be the third derivative of 0*h + 0 - 1/2*h**4 - 4*h**2 + 1/2*h**3 - 1/4*h**5. Let b(f) = 0. What is f?
-1, 1/5
Suppose -5*y = -t, 2*t - 3*y = 3*t. Let b(x) be the third derivative of -x**2 + 0 + t*x**3 + 0*x + 1/54*x**4 + 1/270*x**5. Factor b(w).
2*w*(w + 2)/9
Let d(i) be the third derivative of 0 + 1/9*i**3 - 1/24*i**4 - 6*i**2 + 0*i**7 - 1/1008*i**8 + 0*i - 1/90*i**5 + 1/90*i**6. Solve d(l) = 0.
-2, -1, 1
Let j(y) be the second derivative of y**6/51 + 3*y**5/170 - y**4/51 - 9*y. Factor j(v).
2*v**2*(v + 1)*(5*v - 2)/17
Let m(j) be the third derivative of 63*j**7/5 + 112*j**6/5 + 764*j**5/45 + 64*j**4/9 + 16*j**3/9 + 13*j**2. Let m(s) = 0. Calculate s.
-2/7, -2/9
Let v(g) be the first derivative of 4 + 1/5*g**2 + 6/5*g**3 - 9/10*g**4 - 2/5*g. Let v(t) = 0. Calculate t.
-1/3, 1/3, 1
Let i(q) be the third derivative of 