*3 - 2*o - 3 + 2/5*o**2. Let g(b) be the first derivative of f(b). What is p in g(p) = 0?
-2, 1
Suppose -1 = -4*r + 11. Let i = 307 + -209. Let 3*s - 56*s**4 + 8*s**3 + i*s**5 - r*s = 0. Calculate s.
0, 2/7
Let b(y) = 18*y - 2. Let a be b(-3). Let m be (-2)/11 - a/66. What is o in m*o**2 - 2/3 + 0*o = 0?
-1, 1
Let k be (-22)/121 - 4*(-2)/44. Let m(w) be the third derivative of 3/44*w**4 - 7/330*w**5 + 0 - 2/33*w**3 + k*w + 4*w**2. Find x such that m(x) = 0.
2/7, 1
Suppose r = -0*w - 2*w + 18, -3*w - 27 = -3*r. Solve -108/7*k - 12/7 - 360/7*k**4 - 537/7*k**3 - r*k**5 - 51*k**2 = 0.
-2, -1, -1/2, -2/7
Let b(z) be the second derivative of -7*z**6/75 - 47*z**5/50 - 49*z**4/15 - 52*z**3/15 + 24*z**2/5 - 61*z. Suppose b(u) = 0. Calculate u.
-3, -2, 2/7
Let v = 47 + -43. Determine x so that 0 + 4/3*x**2 - 4/3*x**v + 1/3*x**3 - 1/3*x = 0.
-1, 0, 1/4, 1
Factor -3/5*a**2 + 9/5*a + 0.
-3*a*(a - 3)/5
Find r, given that 9/5*r**2 - 9/5 + 24/5*r = 0.
-3, 1/3
Find s, given that 495*s**3 + 257*s**2 + 159*s + 21*s + 205*s**2 + 24 + 189*s**4 = 0.
-1, -2/3, -2/7
Let g = 81 + -44. Let n = -147/4 + g. Factor 1/4 - 3/4*q + 3/4*q**2 - n*q**3.
-(q - 1)**3/4
Let y be 0/2 - (6 + -9). Let d be -2 + ((-108)/(-20) - y). Solve 2/5*j + 4/5*j**2 + 0 + d*j**3 = 0 for j.
-1, 0
Suppose 0 = 5*q + 3*p + 66, p - 6*p = -2*q - 45. Let o be (3/5)/((-3)/q). Factor g**2 - g + 1/3 - 1/3*g**o.
-(g - 1)**3/3
Find c such that 15*c - 7*c**2 + 18 + 2*c**2 - 28 = 0.
1, 2
Let a = -1062/2981 - 2/271. Let h = 19/22 + a. Determine j, given that h*j**2 + 0 + 0*j = 0.
0
Let z(n) be the second derivative of -n**6/15 + 3*n**5/10 - n**4/3 + 5*n. Factor z(t).
-2*t**2*(t - 2)*(t - 1)
Let b(t) be the second derivative of t**6/50 - 3*t**5/25 + t**4/5 - 21*t. Factor b(k).
3*k**2*(k - 2)**2/5
Factor -4/5 + 2/5*f + 2/5*f**2.
2*(f - 1)*(f + 2)/5
Suppose 3*c = 5*c. Suppose c = g + 2*g. Factor 1/2*n - 1/2*n**3 + g*n**2 + 0.
-n*(n - 1)*(n + 1)/2
Let t(j) be the third derivative of j**6/1980 - j**5/660 + j**3/2 + 5*j**2. Let r(k) be the first derivative of t(k). Factor r(g).
2*g*(g - 1)/11
Let r = -52 - 11. Let o = r + 316/5. Factor 0 - 1/5*u + o*u**2.
u*(u - 1)/5
Let z(k) be the second derivative of -k**6/180 - k**5/30 + k**3 - 7*k. Let h(u) be the second derivative of z(u). Factor h(a).
-2*a*(a + 2)
Let r(p) be the first derivative of p**3/27 - p/9 - 29. Factor r(g).
(g - 1)*(g + 1)/9
Suppose 21*j = j + 40. Let z = -4 + 4. What is x in 3/4*x**3 + 3/4*x**4 + 1/4*x**j + 0 + 1/4*x**5 + z*x = 0?
-1, 0
Let x = -10 - -16. Let s = 19/3 - x. Factor -1/3*f + 0 - s*f**2.
-f*(f + 1)/3
Factor 11*d**2 - 15*d**2 - 4*d + 4*d - 4*d**3.
-4*d**2*(d + 1)
Let g(y) be the second derivative of -y**4/54 + y**3/3 - 8*y**2/9 - 2*y - 23. Factor g(f).
-2*(f - 8)*(f - 1)/9
Let i(t) be the third derivative of -t**5/45 + t**4/18 - t**3/18 - 8*t**2. Factor i(z).
-(2*z - 1)**2/3
Let f(s) be the second derivative of -s**5/30 - 8*s**4/27 - 4*s**3/9 + 16*s**2/9 - 20*s. Factor f(a).
-2*(a + 2)*(a + 4)*(3*a - 2)/9
Let d(k) = 2*k**2 + 2*k + 4. Let b be d(-2). Let f(o) = -o**3 - o**2. Let q(u) = -10*u**3 - 6*u**2 + 2*u - 2. Let v(x) = b*f(x) - q(x). Factor v(s).
2*(s - 1)**2*(s + 1)
Let k(d) be the second derivative of -d**4/15 + d**3/3 - 2*d**2/5 + d. Determine s so that k(s) = 0.
1/2, 2
Let u(q) be the third derivative of -q**7/2940 + q**6/630 - q**5/420 + 5*q**3/6 - 2*q**2. Let w(h) be the first derivative of u(h). Factor w(a).
-2*a*(a - 1)**2/7
Let k(w) be the third derivative of -w**2 + 1/60*w**5 + 1/12*w**4 + 0*w**3 + 0 + 0*w. Determine t, given that k(t) = 0.
-2, 0
Suppose 2*n - 21 = -5*b, -4*b - b = -5*n. Factor 6*q**2 - 4 - 3*q**2 + 12*q - 12*q**n + q**2.
-4*(q - 1)*(q + 1)*(3*q - 1)
Factor 0 - 6/7*n - 2/7*n**2.
-2*n*(n + 3)/7
Let m = 1 - 5. Let c(p) = -2*p**4 + 10*p**3 + 6*p**2 + 6*p + 4. Let q(v) = 3*v**4 - 19*v**3 - 12*v**2 - 11*v - 7. Let b(h) = m*q(h) - 7*c(h). Factor b(d).
2*d*(d + 1)**3
Determine j so that -8/5 - 8/5*j - 2/5*j**2 = 0.
-2
Let a(y) = y**3 - y**2 - y. Let j(f) = 7*f**3 - 7*f**2 - 5*f. Let d(g) = -10*a(g) + 2*j(g). Factor d(v).
4*v**2*(v - 1)
Factor -1/3*z**2 - 4/3 - 4/3*z.
-(z + 2)**2/3
Factor -64 + 31 + 2*p**3 - 2*p + 33.
2*p*(p - 1)*(p + 1)
Let p = 11 + 6. Suppose -p = -5*c - 7. Factor -x**2 + c*x**2 + 1 - x - 2*x + 1.
(x - 2)*(x - 1)
Find h, given that -h**2 - 5 - 8*h**2 + 5*h**3 + 15*h + 0*h**2 - 6*h**2 = 0.
1
Let p(n) be the third derivative of n**5/210 + n**4/21 - 4*n**3/7 + 30*n**2. Factor p(b).
2*(b - 2)*(b + 6)/7
Let z(w) = w**2 + 17*w + 32. Let d be z(-15). Let -10/9*p**3 - 8/9*p + 16/9*p**d + 0 + 2/9*p**4 = 0. What is p?
0, 1, 2
Let a(w) be the second derivative of -4*w + 0 + 7/9*w**3 - 49/72*w**4 - 1/3*w**2. Let a(d) = 0. What is d?
2/7
Suppose -9 = -4*j - 1. Let k(g) be the second derivative of 0 - 1/6*g**3 - 3/20*g**5 + 1/30*g**6 + g + 0*g**j + 1/4*g**4. Factor k(z).
z*(z - 1)**3
Let o(a) be the third derivative of -a**7/105 + 7*a**6/90 - 13*a**5/270 - 7*a**4/9 - 4*a**3/3 + 7*a**2. Factor o(f).
-2*(f - 3)**2*(3*f + 2)**2/9
Let q(h) be the second derivative of -h**5/100 + 3*h**4/40 - h**3/5 + 5*h**2/2 + 4*h. Let a(s) be the first derivative of q(s). Suppose a(z) = 0. What is z?
1, 2
Factor -4*q + 18*q - 8*q**4 - 14*q - 4*q**3 + 20*q**2 - 8*q.
-4*q*(q - 1)*(q + 2)*(2*q - 1)
Let v(i) be the first derivative of -i**3/3 + i**2 - i + 3. What is z in v(z) = 0?
1
Let d(z) be the second derivative of z**7/840 - z**6/90 + z**5/24 - z**4/12 + z**3/6 - 2*z. Let u(s) be the second derivative of d(s). Factor u(v).
(v - 2)*(v - 1)**2
Suppose 3*f = 6 - 0. Let l(k) = 2*k**2 + 2*k - 1. Let s be l(-2). Factor s*z + z**f - 3*z.
z**2
Let o(z) = 3*z**4 + 7*z**3 - 7*z**2 - 3*z + 4. Let c(m) = 4*m**4 + 8*m**3 - 8*m**2 - 4*m + 5. Let i(y) = -4*c(y) + 5*o(y). Solve i(p) = 0 for p.
0, 1
Let a(f) be the first derivative of 2*f**3/15 - 2*f**2/5 + 2*f/5 + 4. Determine h, given that a(h) = 0.
1
Let p be (-4)/16*-4 - (-8)/6. Factor 0 + 1/3*q + 5/3*q**2 + p*q**3 + q**4.
q*(q + 1)**2*(3*q + 1)/3
Let f be (-6)/(-5)*10/4. Let g = -2 + f. Find x such that -g + 7/2*x**3 + 11/2*x - 8*x**2 = 0.
2/7, 1
Let n = 37 - 32. Let u(i) be the third derivative of -1/240*i**n + 0*i - 2*i**2 + 1/120*i**7 + 0 - 1/336*i**8 - 1/240*i**6 + 0*i**4 + 0*i**3. Factor u(p).
-p**2*(p - 1)**2*(4*p + 1)/4
Let b(n) be the second derivative of n**7/105 - 14*n**6/75 + 7*n**5/5 - 76*n**4/15 + 29*n**3/3 - 10*n**2 + 6*n - 2. Let b(j) = 0. What is j?
1, 2, 5
Let o(r) be the first derivative of -1/6*r**2 + 3 + 0*r + 1/9*r**3. Find y such that o(y) = 0.
0, 1
Let f(k) be the first derivative of -7*k**3/9 + 2*k**2 + 4*k/3 + 5. Determine m, given that f(m) = 0.
-2/7, 2
Let o be ((-9)/(-21))/(12/8888). Let u = 318 - o. Factor 2/7 - 2/7*n - 2/7*n**5 + 2/7*n**4 + u*n**3 - 4/7*n**2.
-2*(n - 1)**3*(n + 1)**2/7
Let p = -24 + 19. Let b(o) be the second derivative of o**4/3 + o**3/2 + o. Let g(u) = -u**2 - u. Let d(k) = p*g(k) - b(k). Factor d(h).
h*(h + 2)
Let -114/5*c**2 - 24/5*c - 111/5*c**3 - 21/5*c**4 + 0 = 0. Calculate c.
-4, -1, -2/7, 0
Let c(t) = t + 11. Let q be c(-8). Suppose -q*f = 3*f - 24. Find z, given that -8/3*z**5 - 6*z**4 - 4/3*z**3 + f*z + 16/3*z**2 + 2/3 = 0.
-1, -1/4, 1
Let r(n) = n + 2. Let i(x) = -3*x**2 + 15*x + 24. Let o(c) = i(c) - 6*r(c). Factor o(s).
-3*(s - 4)*(s + 1)
Let c(z) be the first derivative of -z**6/21 + 6*z**5/35 - z**4/7 - 4*z**3/21 + 3*z**2/7 - 2*z/7 - 7. What is j in c(j) = 0?
-1, 1
Let o(p) be the third derivative of p**6/300 - 2*p**5/225 - p**4/36 + 2*p**3/45 - p**2 + 18*p. Factor o(d).
2*(d - 2)*(d + 1)*(3*d - 1)/15
Let l be (-49)/14*(-36)/21. Let h(v) be the second derivative of 1/2*v**2 + 5/6*v**3 + 1/6*v**l + 5/6*v**4 + 1/2*v**5 + 1/42*v**7 - v + 0. Factor h(q).
(q + 1)**5
Let m(w) = -8*w**4 + 8*w**3 + 31*w**2 - 40*w + 16. Let q(u) = 4*u**4 - 4*u**3 - 15*u**2 + 20*u - 8. Let v(y) = 3*m(y) + 7*q(y). Factor v(n).
4*(n - 1)**3*(n + 2)
Suppose 21*c - 25*c + 20 = 0. Let p(t) be the third derivative of -1/60*t**4 + 3/100*t**c + 0*t**3 - 7/600*t**6 + 0*t + 0 + 3*t**2. Factor p(i).
-i*(i - 1)*(7*i - 2)/5
Suppose -11 + 5 + 3*z**3 - 12*z**2 + 15*z + 0 = 0. Calculate z.
1, 2
Let w = -43 + 50. Let r(f) be the third derivative of 0*f**5 + 0*f**4 - 1/120*f**6 + 1/210*f**w + 2*f**2 + 0 + 0*f**3 + 0*f. Factor r(l).
l**3*(l - 1)
Let v = 12 + -7. Let l b