 the second derivative of i(j). Factor z(o).
-o**2*(o - 1)/2
Let b(j) be the first derivative of 6*j - 1/80*j**5 + 3 + 1/48*j**4 + 0*j**2 + 1/12*j**3. Let k(f) be the first derivative of b(f). Find a such that k(a) = 0.
-1, 0, 2
Suppose 4*b + 4 = d + 3*d, -5*d + 4*b = -10. Let s be (-48)/(-9) + (-7)/21 + -3. Solve -n**2 - n**2 - n**s - 6*n + d*n**2 = 0 for n.
0, 2
Let y(a) be the second derivative of a**7/42 - 3*a**6/8 + 2*a**5 - 10*a**4/3 - 12*a**2 - 2*a. Let d(t) be the first derivative of y(t). Solve d(o) = 0.
0, 1, 4
Let r be 1739/(-5)*8/12. Let h = 232 + r. Factor -32/15 - h*l**2 - 16/15*l.
-2*(l + 4)**2/15
Let p = 16 + -10. Let f(x) be the third derivative of 2/315*x**7 + 0*x**3 - 4*x**2 + 0*x**4 + 0*x**5 + 0 + 0*x**p + 0*x + 5/504*x**8. Factor f(t).
2*t**4*(5*t + 2)/3
Let w(d) be the first derivative of 5*d**6/2 + 10*d**5 + 35*d**4/4 - 20*d**3/3 - 10*d**2 - 487. Find z, given that w(z) = 0.
-2, -1, 0, 2/3
Factor 2/7*o**2 + 76/7*o + 74/7.
2*(o + 1)*(o + 37)/7
Let b(u) be the first derivative of 9/20*u**4 - 3/25*u**5 + 0*u - 3/5*u**3 + 3/10*u**2 - 9. Solve b(d) = 0 for d.
0, 1
Suppose -2*v + 6*v = 56. Find g, given that -7*g + 5*g**2 + 9 - v - g**3 + 8 = 0.
1, 3
Let l(m) be the first derivative of -5*m**7/42 + m**6/6 - 10*m - 14. Let z(p) be the first derivative of l(p). Find r such that z(r) = 0.
0, 1
Suppose 0 = 4*t + 3*r - 5, -3*t - 3*r - 33 = -36. Let i = 9 + -6. What is l in -1/6*l**i - 1/2*l + 0 + 2/3*l**t = 0?
0, 1, 3
Let c(w) be the first derivative of w**6/12 + 2*w**5/5 + w**4/8 - w**3 + 93. Factor c(k).
k**2*(k - 1)*(k + 2)*(k + 3)/2
Let q(w) = w**2 - 42*w - 450. Let j be q(51). Suppose -3*r + 3*p + 10 = 1, -3*r + 9 = 5*p. Factor -5*o**2 + j*o**4 - 5*o**r + 7*o**5 - 2*o**5 + 0*o**3 - 4*o**4.
5*o**2*(o - 1)*(o + 1)**2
Let o(r) be the second derivative of r**4/66 + 7*r**3/11 - 2*r**2 + 235*r. Factor o(d).
2*(d - 1)*(d + 22)/11
Let n(a) = -65*a**3 + 160*a**2 - 45*a + 5. Let b(z) = 14*z + 80*z**2 + 2 - 3*z - 18*z - 15*z - 33*z**3. Let m(g) = -5*b(g) + 2*n(g). Factor m(c).
5*c*(c - 2)*(7*c - 2)
Let b(o) = 4*o + 1 - o**2 - o + 0*o. Let a(r) = -6*r**2 + 18*r + 7. Let k(i) = 6*a(i) - 34*b(i). Factor k(g).
-2*(g - 4)*(g + 1)
Let f = 716/35 + -98/5. Suppose -15/7*t**2 - 33/7*t - f = 0. What is t?
-2, -1/5
Let -71*d**2 + 120*d**3 - 36 + 4*d**5 + 132*d - 36*d**4 - 19*d**2 - 94*d**2 = 0. What is d?
1, 3
Factor 0 + 19 + 207*r**2 + 104*r + 4 - 81*r**3 - 11.
-(r - 3)*(9*r + 2)**2
Let d(y) be the first derivative of -5*y**3/3 + 75*y**2/2 + 80*y - 97. Let d(m) = 0. What is m?
-1, 16
Let z(x) be the third derivative of -2*x**2 + 0*x**3 + 0*x**4 + 0*x + 0 + 1/60*x**5. Solve z(c) = 0 for c.
0
Let a(f) = 6*f**2 + 2*f**2 + 8 + 6*f + f**3 + 0. Let q be a(-7). Factor -q*g**2 - 2*g + 6*g**2 - 1 + 8*g**2.
-(g + 1)**2
Let p = -317 - -317. Let r(g) be the second derivative of 1/10*g**3 + p*g**2 - 5*g + 0 + 1/20*g**4. Factor r(l).
3*l*(l + 1)/5
Suppose 5*g - 3*t = -21, -4*t = -9*t - 15. Let a be g/4 + 99/18. Factor u**3 + 0*u**3 + u**4 - u**a + u**4.
u**3*(u + 1)
Let z = -336 - -339. Let r(q) be the second derivative of -5/54*q**4 + 0 + 1/9*q**z + 2/9*q**2 + 2*q. Solve r(y) = 0.
-2/5, 1
Solve -1/6*d**4 + 23/3 - 43/6*d**3 + 45/2*d**2 - 137/6*d = 0.
-46, 1
Factor 103/10*w - 7 + 3/10*w**2.
(w + 35)*(3*w - 2)/10
Let y(i) be the third derivative of i**5/12 + i**4/12 - i**3/2 + 5*i**2. Let t(k) = -14*k**2 - 5*k + 8. Let q(w) = -4*t(w) - 11*y(w). Factor q(b).
(b - 1)**2
Factor -4354 + 102*m**4 + 32938*m**3 + 3*m**5 + 13440*m - 5784*m**2 - 5246 - 32422*m**3.
3*(m - 2)**3*(m + 20)**2
Let y(c) = -c**5 - c**3 - c + 1. Let o(t) be the first derivative of -t**6/6 + t**5 - t**4 - 5*t**2/2 + 5*t - 15. Let p(s) = 4*o(s) - 20*y(s). Factor p(n).
4*n**3*(n + 1)*(4*n + 1)
Let i be -7 + ((-270)/3000)/(12/(-935)). Let p(q) be the second derivative of 0 + 0*q**3 - 4*q + i*q**5 - 1/48*q**4 + 0*q**2. Solve p(l) = 0 for l.
0, 1
Factor 5*b**2 - 42*b + 90 + 0*b**3 + 23*b**2 + 2*b**3 - 30*b**2.
2*(b - 3)**2*(b + 5)
Let s be 1*((-68)/(-12) + 6/(-9)). Find o such that -16*o**4 - 26*o + 7*o**s + 9*o**2 - 3*o**5 + 7*o**2 + 12*o**3 + 10*o = 0.
-1, 0, 1, 2
Let f be 1/((9/(-2))/9). Let s be 1456/80 - f/(-10). Factor -s*r**3 + 64/5*r**2 - 8/5*r + 0 - 162/5*r**4.
-2*r*(r + 1)*(9*r - 2)**2/5
Let c(j) be the first derivative of j**4/18 - 2*j**3 + 8*j**2/3 + 104*j/9 - 297. Factor c(q).
2*(q - 26)*(q - 2)*(q + 1)/9
Let j be 1/2*30/5. Factor 6*k**4 + 4*k**j + 6*k**4 - k - 7*k - 12*k**2 + 0*k**4 + 4*k**5.
4*k*(k - 1)*(k + 1)**2*(k + 2)
Let n(g) be the second derivative of 0 - 1/54*g**4 + 9*g + 0*g**3 + 0*g**2. Factor n(r).
-2*r**2/9
Let c(m) be the first derivative of -m**3 - 3*m**2/2 + 18*m - 7. Find j, given that c(j) = 0.
-3, 2
Let d(i) be the third derivative of -2*i**7/105 + 9*i**6/20 - 37*i**5/30 + i**4 - 150*i**2 + 2. Solve d(c) = 0 for c.
0, 1/2, 1, 12
Let d = 225 - 225. Let v(r) be the third derivative of 3*r**2 + 0*r - 1/12*r**4 + d - 1/30*r**5 + 2/3*r**3. Factor v(b).
-2*(b - 1)*(b + 2)
Let a be (1/(15/36))/(2/10). Suppose 5*i - 6 + 3 = s, 0 = -4*s - a. Find g, given that -9/2*g**4 - 9*g**3 + i + 0*g - 6*g**2 - 3/4*g**5 = 0.
-2, 0
Let m(j) be the third derivative of j**6/150 + 4*j**5/75 + j**4/6 + 4*j**3/15 - 96*j**2. Factor m(l).
4*(l + 1)**2*(l + 2)/5
Let c(d) = 5*d**3 + 3*d. Let p(n) = -60*n**3 - 35*n. Suppose 2*k = u - 3, 0 = 2*k + 2*k - 4*u. Let q(t) = k*p(t) - 35*c(t). What is y in q(y) = 0?
0
Suppose 3*c + 33*t + 14 = 29*t, 5*c - 2*t - 20 = 0. Let a(y) be the second derivative of 2/3*y**4 + 0*y**c + 2*y - 1/3*y**3 + 0. Suppose a(j) = 0. Calculate j.
0, 1/4
Let x(h) be the second derivative of 0 - 17/18*h**3 - 1/9*h**4 + 17*h - 2/3*h**2. What is f in x(f) = 0?
-4, -1/4
Let a(p) = p**3 - 6*p**2 - 7*p - 2. Let h(x) = x**3 - x**2 + x - 4*x + 5*x - 3*x. Let y(w) = -a(w) + 2*h(w). Find i such that y(i) = 0.
-2, -1
Let b(w) be the third derivative of 0*w**3 + 1/630*w**7 - 25/72*w**4 + 30*w**2 + 1/12*w**5 + 0 + 0*w + 1/40*w**6. Suppose b(r) = 0. Calculate r.
-5, 0, 1
Let c(g) be the third derivative of 0*g**3 + 16*g**2 + 0 - 1/120*g**5 + 0*g + 0*g**4. Find z such that c(z) = 0.
0
Let n be (-12)/(-1)*34/136. Find z, given that -z**4 + 0 - 4/3*z**5 + 5/3*z**n - 1/3*z + z**2 = 0.
-1, 0, 1/4, 1
Let q(o) be the third derivative of -o**8/21 - 46*o**7/105 + 3*o**6/5 + 221*o**5/15 + 68*o**4/3 - 32*o**3 + 191*o**2 - 2*o. Let q(m) = 0. Calculate m.
-4, -1, 1/4, 3
Let f(z) be the first derivative of -z**4/4 + 2*z**2 + 2*z - 26. Let m be f(-2). Solve m*o**2 + 2/9 + 4/3*o = 0 for o.
-1/3
Let t(a) be the second derivative of -a**4/6 + 4*a**3/3 - 3*a**2 - 28*a. Factor t(m).
-2*(m - 3)*(m - 1)
Let j(i) be the third derivative of i**5/60 + i**4/6 + i**3/2 + i**2. Let v be j(-6). What is y in 7 + 17*y**2 + 0*y - v*y**2 + 1 - 8*y = 0?
2
Let q(k) be the third derivative of -k**7/70 - k**6/20 + 6*k**2 + k. Solve q(b) = 0 for b.
-2, 0
Let x = -14 + 19. Suppose -b = 4*q - x - 4, 0 = -3*b - 3*q + 18. Factor g**3 - 4*g + 15 + 4*g**4 - 7 - 12*g**2 + 2*g**b - g**5 + 2*g**2.
(g - 1)**2*(g + 2)**3
Suppose 0 = -x + 2*x. Factor -5*r - 5*r**4 + 10 - 15*r**3 + x*r - 5*r**2 + 20*r.
-5*(r - 1)*(r + 1)**2*(r + 2)
Let g = 2/11025 + 3671/22050. Factor -1/2*j**3 - 1/2*j**2 - 1/6*j - g*j**4 + 0.
-j*(j + 1)**3/6
Let w(s) be the second derivative of 1/15*s**6 - 1/3*s**4 + s**2 + 1/21*s**7 - 1/5*s**5 + 1/3*s**3 + 0 - 10*s. Factor w(a).
2*(a - 1)**2*(a + 1)**3
Let h(o) = 8*o**2. Let u be h(1). Find f, given that -3*f - 5*f**4 + 90 - 108*f**2 + 43*f**2 + u*f - 35*f**3 + 10*f = 0.
-3, -2, 1
Let s = 11 - 8. Let l(a) = 2*a**3 - 5*a**2 + 2*a - 1. Let k(g) = -2*g**3 + 5*g**2 - g + 1. Let y = 6 - 4. Let m(j) = s*l(j) + y*k(j). Solve m(n) = 0.
1/2, 1
Let s = 7913 - 7909. Factor 0*w - 2/11*w**5 + 8/11*w**2 + 0 + 0*w**3 - 6/11*w**s.
-2*w**2*(w - 1)*(w + 2)**2/11
Let t(m) be the third derivative of m**6/120 - 11*m**5/240 - 5*m**4/24 + 2*m**2 + 9*m. Factor t(c).
c*(c - 4)*(4*c + 5)/4
Let c(m) be the first derivative of -3/2*m**2 + 1/40*m**4 + 0*m + 4 + 0*m**3 + 1/100*m**5. Let d(b) be the second derivative of c(b). Factor d(f).
3*f*(f + 1)/5
Let b be 8/36*-2*(-6)/400. Let d(l) be the second derivative of 0 + 5*l + 0*l**3 - b*l**6 + 0*l**2 - 1/30*l**4 + 3/100*l**5. Find z, given that d(z) = 0.
0, 1, 2
Let j = 3719/20394 - 1/1854. Let -4/11*p 