derivative of t*j - 1/3*j**3 + 1/3*j**2 + 1. Let y(v) = 0. Calculate v.
0, 2/3
Find i, given that -1 - 1/6*i**2 - 5/6*i = 0.
-3, -2
Let s be (-66)/(-24) - 3/4. What is t in 11 + 12*t + 7 - s - 9*t**2 - 4 = 0?
-2/3, 2
Let a(u) = -u + 5. Let q be a(1). Let p(s) be the second derivative of s + 1/4*s**2 + 1/10*s**5 + 1/3*s**3 + 0 + 1/60*s**6 + 1/4*s**q. Factor p(k).
(k + 1)**4/2
Let d(p) be the second derivative of -1/50*p**6 - 3/20*p**4 + 0 - 9/100*p**5 + 0*p**2 - 6*p - 1/10*p**3. Find z, given that d(z) = 0.
-1, 0
Let y(n) = 10*n + 94. Let z be y(-9). Let c(m) be the first derivative of 3 - 16/21*m**3 + 1/7*m**2 + 4/7*m + 5/14*m**z. Factor c(v).
2*(v - 1)**2*(5*v + 2)/7
Let n be 2/8 - 0/(-8). Let b(z) = z**3 + 2*z**2 + z + 2. Let s be b(-2). Suppose s*m**3 + 0 - 1/2*m**2 - 1/4*m + n*m**5 + 1/2*m**4 = 0. Calculate m.
-1, 0, 1
Factor 10*c**2 - 5/4*c**3 - 20*c + 0.
-5*c*(c - 4)**2/4
Let y(i) be the second derivative of -i**5/65 - 5*i**4/78 - 2*i**3/39 - 4*i. Let y(w) = 0. What is w?
-2, -1/2, 0
Let h = 1727/1293 + -1/431. Factor 8/3*m**2 - 4/3 + h*m.
4*(m + 1)*(2*m - 1)/3
Let y = 2/17 + 28/51. Factor 0 + y*l**2 - 4/3*l.
2*l*(l - 2)/3
Let m(l) be the first derivative of -l**5/180 - l**4/36 - l**3/18 - 5*l**2/2 + 3. Let a(y) be the second derivative of m(y). Factor a(b).
-(b + 1)**2/3
Let 0 + 0*m - 2/9*m**3 - 2/9*m**2 + 2/9*m**5 + 2/9*m**4 = 0. Calculate m.
-1, 0, 1
Determine c so that -1/2*c + 1/4*c**3 + 3/4*c**2 - 3/4*c**4 + 0 + 1/4*c**5 = 0.
-1, 0, 1, 2
Let x = -125921/1671 + 13/557. Let o = x + 76. Factor 2/3*a**2 - 4/3 - o*a.
2*(a - 2)*(a + 1)/3
Let p(b) be the first derivative of -5*b**3/3 - 5*b**2/2 - 26. Determine w so that p(w) = 0.
-1, 0
Factor 5/3*d - 2/3 + 1/3*d**3 - 4/3*d**2.
(d - 2)*(d - 1)**2/3
Factor 0*q**2 + 0 - 4/7*q**3 + 0*q - 18/7*q**4.
-2*q**3*(9*q + 2)/7
Let m(n) be the first derivative of 0*n**3 + n**2 + 0*n + 1/120*n**5 + 1/48*n**4 - 3. Let j(l) be the second derivative of m(l). Factor j(z).
z*(z + 1)/2
Let i(c) be the first derivative of -1/48*c**4 - 1/240*c**5 - 1/24*c**3 + 0*c + c**2 - 2. Let s(y) be the second derivative of i(y). Factor s(z).
-(z + 1)**2/4
Let i be (1/(-10))/(2/(-5)). Let f be (-25)/(-10 + 5) - 3. Solve 1/4*p**f + 0 + i*p = 0.
-1, 0
Let p(a) be the second derivative of a**5/50 - a**4/10 - 4*a**3/15 + 23*a. Factor p(w).
2*w*(w - 4)*(w + 1)/5
Let w = 10 + -59/6. Let q(f) be the third derivative of -2/3*f**3 + 0*f - w*f**5 + 2*f**2 - 7/12*f**4 + 0. Let q(t) = 0. What is t?
-1, -2/5
Suppose -3*x = 2*x - 960. Determine w so that -576*w + x*w**3 - 2544*w**2 - 48 - 5148*w**3 + 501*w**4 - 4470*w**4 - 1029*w**5 = 0.
-2, -1, -2/7
Let w be 2*(-63)/(-24) - 3 - 2. Factor 0 - 1/4*u**2 - w*u.
-u*(u + 1)/4
Suppose -5*o + 6 = -2*o. Let 10/3*g**2 + o*g - 4/3 = 0. What is g?
-1, 2/5
Let z(g) = -4*g**2 + 3*g + 3. Suppose -2*o + 26 - 4 = -4*m, 2*o + 3*m = -13. Let w(k) = k**2 - 1. Let r(d) = o*z(d) + 3*w(d). Factor r(b).
-b*(b - 3)
Let w = -2117/5 - -425. Factor 2/5*q**4 + 2/5 - w*q**3 + 12/5*q**2 - 8/5*q.
2*(q - 1)**4/5
Solve 2/11*j**3 + 2/11*j + 0 - 4/11*j**2 = 0 for j.
0, 1
Let v(r) be the second derivative of -r**6/255 + r**4/34 + 2*r**3/51 - 3*r. Factor v(z).
-2*z*(z - 2)*(z + 1)**2/17
Let j(g) = -5*g + 18. Let s be j(3). Let o(y) be the first derivative of 4 + 0*y + 1/6*y**4 + 0*y**s - 1/3*y**2. Factor o(r).
2*r*(r - 1)*(r + 1)/3
Let z(n) be the second derivative of -5*n**4/12 + 25*n**3/3 - 45*n**2/2 - 29*n. Factor z(w).
-5*(w - 9)*(w - 1)
Let s(u) be the second derivative of 4/7*u**2 + 0 - 1/6*u**4 - 2*u + 4/7*u**3. Factor s(a).
-2*(a - 2)*(7*a + 2)/7
Suppose 2*a - 6 = -3*d, 2*d - 3*a = -4*a + 5. Let n(m) be the first derivative of m**2 + 3/2*m**d + 2/5*m**5 + 2*m**3 - 1 + 0*m. Find h, given that n(h) = 0.
-1, 0
Let a(p) be the first derivative of -p**3/3 + 4*p**2 + 2*p + 2. Let s be a(8). Factor -5 + s*c + c + 2 - c**2 + 1.
-(c - 2)*(c - 1)
Suppose 5*x = 4*u - 56, 13 + 7 = 5*u. Let z be 272/168 - x/(-6). Find j such that 4/7 - 4/7*j**2 + 2/7*j - z*j**3 = 0.
-2, -1, 1
Let c(m) be the first derivative of -4*m**5/5 - m**4 - 5. Determine j, given that c(j) = 0.
-1, 0
Let v be (3 + -3)*1/2. Suppose 4*p + v*l = -l + 21, 5*l - 25 = 0. Solve -224/3*y**p - 14*y - 16*y**3 + 4/3 + 130/3*y**2 = 0 for y.
-1, 1/4, 2/7
Let j be (5 + 3)*1/2. Let u be (j/(-6))/((-4)/18). Factor 2*i**3 + 0*i**4 + 0*i**u - i**2 - i**4.
-i**2*(i - 1)**2
Let m = -571 + 6859/12. Let u(l) be the first derivative of -5/9*l**3 - 1/5*l**5 - 3 - m*l**4 - 1/6*l**2 + 0*l. What is a in u(a) = 0?
-1, -1/3, 0
Suppose -9 - 21 = -5*n. Factor n*c**3 - 2*c**3 + 9*c + 3 - c**3 + 9*c**2.
3*(c + 1)**3
Let j be 6/9 - 7/(-3). Let d be j/(-5)*(-15)/18. What is m in -1/6 - 1/2*m + d*m**4 - 1/3*m**2 + 1/3*m**3 + 1/6*m**5 = 0?
-1, 1
Suppose 78*t - 6 = 75*t. Let p(d) be the first derivative of 3*d + 1/3*d**3 + 2*d**t - 1. Factor p(u).
(u + 1)*(u + 3)
Let d(v) = -7*v**5 + 16*v**4 - 7*v**3 - 2*v**2 + 4*v. Let b(o) = -14*o**5 + 33*o**4 - 15*o**3 - 4*o**2 + 9*o. Let z(c) = 4*b(c) - 9*d(c). Solve z(m) = 0.
-2/7, 0, 1
Factor -4/7*m**3 - 32/7*m**2 - 72/7 - 12*m.
-4*(m + 2)*(m + 3)**2/7
Suppose -a + f + 4 = 0, -4 = a - 5*f - 24. Let n(b) be the first derivative of 2/27*b**3 - 1/9*b**2 + a*b + 1. What is g in n(g) = 0?
0, 1
Factor -g + 0 - 1/3*g**2.
-g*(g + 3)/3
Suppose -5*s + 5*b + 3 = -12, -3*b + 7 = 5*s. Suppose 0 = -2*p + p + s. Factor 0*j - 11*j**3 + 4*j + 8*j**2 - 3*j**3 + 2*j**p.
-2*j*(j - 1)*(7*j + 2)
Let z(p) be the second derivative of -2*p + 3/10*p**5 - 1/15*p**6 - 1/2*p**4 + 0*p**2 + 0 + 1/3*p**3. Solve z(s) = 0 for s.
0, 1
Suppose -m + 8 = -1. Let u(i) = -5*i - 3 + 3*i**2 + 2*i - 1. Let y(a) = -6*a**2 + 6*a + 9. Let j(t) = m*u(t) + 4*y(t). Factor j(r).
3*r*(r - 1)
Let i(b) = b + 5. Let p be i(-5). Suppose 2*r + p*r = 8. Solve 8/7*u**3 - 8/7*u - 2/7*u**r + 8/7 - 6/7*u**2 = 0.
-1, 1, 2
Suppose 8 + 13 = 3*u. Let p be u/3 + (4 - 6). Factor -1/3*b**3 + 0*b + p*b**2 + 0.
-b**2*(b - 1)/3
Suppose -94 = -6*n - 82. What is b in 0*b - 8/9 + 10/3*b**n + 10/9*b**3 - 2*b**5 - 10/3*b**4 = 0?
-1, 2/3
Let u be (-7006)/(-8862) + 8/24. Let r = 4/211 + u. Let -6/7*b**2 + 0*b + 2/7*b**3 + r = 0. What is b?
-1, 2
Suppose 0 = -2*l - 3*l - m + 147, -m + 87 = 3*l. Let z be (-260)/l*2/(-8). Factor -2*o - 1/6*o**4 - z*o**2 - 2/3 - o**3.
-(o + 1)**2*(o + 2)**2/6
Factor 0*l**2 - 8/7*l + 4/7*l**4 - 4/7 + 8/7*l**3.
4*(l - 1)*(l + 1)**3/7
Find t, given that -7*t**2 - 6 - 12*t**2 - 3*t**5 + 25*t**2 - 24*t**3 + 7*t + 16*t**4 + 4*t = 0.
-2/3, 1, 3
Solve 6/7*g + 0 + 2/7*g**2 = 0.
-3, 0
Let k be ((-4)/(-21))/(-6*4/(-36)). What is z in 2/7*z**3 + 0 - k*z + 0*z**2 = 0?
-1, 0, 1
Let v(z) = 2*z**2 - 4*z + 5. Let l be v(2). Factor 3*q**3 + 0 + 2*q**4 + 1/2*q + 2*q**2 + 1/2*q**l.
q*(q + 1)**4/2
Let w(v) be the third derivative of 0 + 1/150*v**5 + 0*v - 1/525*v**7 + 0*v**6 + 3*v**2 + 1/120*v**4 + 0*v**3 - 1/1680*v**8. Factor w(i).
-i*(i - 1)*(i + 1)**3/5
Let w(i) be the third derivative of 0*i**4 + 0 + 0*i - 4*i**2 + 1/120*i**5 + 1/480*i**6 + 0*i**3. Factor w(b).
b**2*(b + 2)/4
Let v be ((-7)/(-2))/(3/(-18)). Let b = 107/5 + v. Factor -4/5*c + 0 - 6/5*c**2 - b*c**3.
-2*c*(c + 1)*(c + 2)/5
Let z = 153 + -763/5. Factor 2/5*w + 0 - 4/5*w**3 + 0*w**2 + 0*w**4 + z*w**5.
2*w*(w - 1)**2*(w + 1)**2/5
Let w be ((-16)/(-7) + -2)/(176/154). Factor 0*y - 1/2*y**4 - w*y**5 - 1/4*y**3 + 0*y**2 + 0.
-y**3*(y + 1)**2/4
Let u = 6/17 - 1/51. Let a be (-1 - 2)/3 + 6 + -5. Factor -1/3*z**5 + 0*z + 0*z**3 + a + u*z**4 + 0*z**2.
-z**4*(z - 1)/3
Let d(m) = m**2 + 23*m + 47. Let u be d(-21). Solve 0*a**2 + a**u + 0 + 1/4*a**3 + a**4 + 0*a = 0 for a.
-1/2, 0
Let u be (45/27)/(1/3). Let x be 7/u*(-36)/(-42). Factor 6/5*f + 2/5 + 2/5*f**3 + x*f**2.
2*(f + 1)**3/5
Let z(i) be the first derivative of -3*i**4/4 + 3*i**3 - 20. Factor z(r).
-3*r**2*(r - 3)
Let z be (-1)/(-3) - (-31)/3. Let h(d) be the first derivative of 4*d**2 - 18/5*d**5 + 0*d + 21/2*d**4 - z*d**3 - 3. Suppose h(l) = 0. What is l?
0, 2/3, 1
Let l(d) be the second derivative of 0*d**3 + 3*d + 1/42*d**4 + 0*d**2 + 0 - 1/35*d**5 + 1/105*d**6. Factor l(v).
2*v**2*(v - 1)**2/7
Let z(n) be the first derivative of -n**5/150 - n**4/60 - 3*n**2/2 - 7. Let d(p) be the second derivative of z(p). Let d(a) = 0. What is a?
-1, 0
Let p(u) be the first derivative of u**4/10 - u**2/5 - 3. Suppo