= 0. Calculate h.
-1
Suppose 0 = 4*p - 9 + 1. Factor -3*i**2 + 2*i**p - i**2.
-2*i**2
Let t(j) be the second derivative of -j**4/3 + 8*j**3/3 - 8*j**2 + 8*j. Find u, given that t(u) = 0.
2
Suppose -4*a + 1 + 7 = 0. Solve -a*r**4 + r**5 + 5*r**4 - 3*r**4 - r**4 = 0 for r.
0, 1
Let m(t) be the first derivative of 1/8*t**4 + 0*t**3 - 1/4*t**2 + 0*t - 3. Let m(k) = 0. What is k?
-1, 0, 1
Factor 0 + 0*c - 3/4*c**3 - 3/4*c**2.
-3*c**2*(c + 1)/4
Suppose y - o = 7, 3*y + 3*o - 4*o - 11 = 0. Let v be (-2)/8 + 17/4. Determine i, given that 30*i - 125/2*i**5 + 75*i**v - 71*i**y - 4 + 65/2*i**3 = 0.
-1, 2/5, 1
Let h(i) be the first derivative of -i**5/5 - 5*i**4/4 - 2*i**3 + 38. Suppose h(f) = 0. What is f?
-3, -2, 0
Let i(j) be the third derivative of 2*j**2 + 0 + 0*j - 11/84*j**4 - 2/21*j**3 - 1/14*j**5. Factor i(f).
-2*(3*f + 1)*(5*f + 2)/7
Suppose 0 = 2*d + 1 - 9. Let g = d + -1. Suppose 5*u + 8*u - 7*u**3 - 5*u + u**g + 2*u**4 = 0. Calculate u.
-1, 0, 2
Let g = 0 - -4. Let u = g - -1. Determine y so that y**2 + y**u - 2*y**4 + y**3 - y**2 = 0.
0, 1
Factor 0*b + 0 + 3/7*b**2 - 1/7*b**3.
-b**2*(b - 3)/7
Let d(y) be the third derivative of y**5/15 - 5*y**4/3 + 50*y**3/3 + 6*y**2. Factor d(v).
4*(v - 5)**2
Let l(p) be the first derivative of p**6/27 - 2*p**5/9 + 7*p**4/18 + 2*p**3/27 - 8*p**2/9 + 8*p/9 - 13. What is r in l(r) = 0?
-1, 1, 2
Find g, given that 4/5 + 2/5*g**2 + 6/5*g = 0.
-2, -1
Let z(l) = -l + 7. Suppose 0 = -0*i + 3*i - 15. Let s be z(i). Factor -b + 5*b - s*b + b**2.
b*(b + 2)
Let r(u) = u**3 - 6*u**2 - 6*u + 7. Let c be r(7). Let b be 15/35 - (-22)/c. Factor 2/5*n**b + 4/5*n + 2/5.
2*(n + 1)**2/5
Let v(k) be the third derivative of -1/504*k**8 + 2/45*k**5 + 0*k**3 - 1/36*k**4 + 0*k + 0 + 4/315*k**7 - 1/30*k**6 + k**2. Solve v(m) = 0.
0, 1
Let n(l) = 2*l**2 - 4*l - 4. Let h be n(-1). Let d be 0*(-1 - 2/(-4)). Determine b so that 0 + 1/3*b**h + d*b = 0.
0
Let b = 2/177 + 116/177. Find j, given that -8/3*j**3 - 4*j**2 - 2/3*j**4 - b - 8/3*j = 0.
-1
Let c be 8*(0 - (-1)/4). Suppose -3*r = 4*s - 12, 5*s = -3*r + c*r + 4. Factor -2/11*n**r - 2/11*n**2 + 0*n + 0 + 4/11*n**3.
-2*n**2*(n - 1)**2/11
Let b be (0 + 0 - (3 + -2))*-6. Let m(l) be the third derivative of 0*l - 1/12*l**3 - 2*l**2 + 0 - 1/120*l**b + 1/120*l**5 + 1/24*l**4. Let m(p) = 0. What is p?
-1, 1/2, 1
Let 116*b**2 - 238 + 108*b**4 - 24*b - 180*b**3 + 238 - 20*b**5 = 0. Calculate b.
0, 2/5, 1, 3
Let l(q) = -12*q**3 - 24*q**2 + 12*q - 2. Let t(z) = 13*z**3 + 23*z**2 - 12*z + 3. Let m(g) = -3*l(g) - 2*t(g). Factor m(j).
2*j*(j + 3)*(5*j - 2)
Let s = -11 - -9. Let b be (s/(-2) - 1)/2. Factor -1/4*p**2 - 1/4*p + b.
-p*(p + 1)/4
Let g(f) be the third derivative of -f**5/30 + f**3/3 + 5*f**2. Solve g(v) = 0 for v.
-1, 1
Let k(w) = -3*w**2 + w + 7. Let s = 38 + -15. Suppose -8 = -3*p - s. Let d(o) = 4*o**2 - o - 10. Let t(n) = p*d(n) - 7*k(n). What is u in t(u) = 0?
1
Let h be (-2)/1*3*26/(-429). Find y such that -h*y + 0 + 6/11*y**2 - 2/11*y**3 = 0.
0, 1, 2
Let m be 39/63 + 2/(-7). Factor -m*k + 2/3*k**2 - 1/3*k**3 + 0.
-k*(k - 1)**2/3
Let i(o) = -o**2 + o - 2. Let r(c) = c - 4*c - 8*c**2 + 5 + 9*c**2. Let h = -13 + 19. Let j(l) = h*r(l) + 15*i(l). Determine x so that j(x) = 0.
-1/3, 0
Let v be 100/(-15)*(-12)/10. Determine t so that -4*t**2 + t**4 + v*t**2 - 3*t**2 - 2*t**3 = 0.
0, 1
Let k = -14 - -18. Factor 0 - 1/3*w**k + 1/3*w**2 - 1/3*w + 1/3*w**3.
-w*(w - 1)**2*(w + 1)/3
Let r be (3*30/18)/1. Suppose 6/7*g**3 + 10/7*g**4 + 2/7*g - 8/7*g**r - 10/7*g**2 + 0 = 0. What is g?
-1, 0, 1/4, 1
Solve 2/5*d**2 + 0*d - 2/5 = 0.
-1, 1
Let i(v) be the first derivative of v**6/480 + v**5/80 + v**4/32 + v**3/24 + 3*v**2 - 6. Let j(q) be the second derivative of i(q). Let j(l) = 0. Calculate l.
-1
Let l(v) = v**4 + v**3 + v**2 - v. Let a(y) = -3*y**4 - 9*y**3 + 4*y**2. Let c(q) = a(q) + 4*l(q). Find t, given that c(t) = 0.
0, 1, 2
Suppose 4*g + 25 = 41. Let 56/13*n**2 + 54/13*n**g - 102/13*n**3 - 8/13*n + 0 = 0. Calculate n.
0, 2/9, 2/3, 1
Let p(q) be the third derivative of -1/60*q**6 + 0*q - 1/210*q**7 - 1/60*q**5 + 0*q**4 + 0*q**3 + 3*q**2 + 0. Suppose p(w) = 0. What is w?
-1, 0
Let b(r) be the third derivative of -r**8/20160 + r**5/30 + 2*r**2. Let h(z) be the third derivative of b(z). Let h(c) = 0. Calculate c.
0
Let x(c) be the first derivative of -3*c**4/8 - c**3/2 + 3*c**2/4 + 3*c/2 + 6. Factor x(g).
-3*(g - 1)*(g + 1)**2/2
Let s(p) be the first derivative of p**6/6 - 9*p**5/5 + 27*p**4/4 - 9*p**3 - 13. Factor s(w).
w**2*(w - 3)**3
Factor 2*d**2 + 4*d**3 + 321 - 321 - 2*d**4 - 4*d.
-2*d*(d - 2)*(d - 1)*(d + 1)
Let q(s) be the first derivative of -176/5*s**5 + 89/2*s**4 - 112/3*s**6 + 172/3*s**3 + 4*s + 23*s**2 + 2. Let q(a) = 0. What is a?
-1, -2/7, -1/4, 1
Let q be 10/45*(-72)/(-4). Let k(o) be the second derivative of -1/70*o**5 + 0 + 1/7*o**2 - 1/7*o**3 - o + 1/14*o**q. Factor k(t).
-2*(t - 1)**3/7
Let k = -16 + 16. Let d(g) be the third derivative of -2*g**2 + 1/24*g**4 + 1/20*g**5 - 1/120*g**6 + 0 - 1/3*g**3 + k*g - 1/210*g**7. Find i such that d(i) = 0.
-2, -1, 1
Let o = -112 - -227/2. Let p(t) be the first derivative of -t**3 + 1 - 1/4*t**4 - o*t**2 - t. Let p(r) = 0. Calculate r.
-1
Let j(g) = 11*g**2 - 17*g - 1. Let u = 32 + -36. Let t(n) = -5*n**2 + 8*n. Suppose s + 2 = 0, -3*s = -4*p - 41 + 11. Let z(d) = p*t(d) + u*j(d). Factor z(w).
(w - 2)**2
Let c(y) be the second derivative of -1/12*y**3 + 0 - 1/48*y**4 - 1/8*y**2 - 3*y. Determine z, given that c(z) = 0.
-1
Let k(l) be the first derivative of -l**5/60 + l**4/24 + l**3/3 + l**2 + 3. Let b(i) be the second derivative of k(i). Factor b(z).
-(z - 2)*(z + 1)
Suppose u + 4 = 8. Solve 3*c**u - c - 4*c**4 + 0*c - c + 3*c**2 = 0.
-2, 0, 1
Suppose -2*p + 8 = 5*b, -4*b - p - 3*p = -4. Factor 7*w**2 + 24*w - 3*w**2 - 3*w**b + 11*w**2 + 16 + 2*w**3.
2*(w + 2)**3
Determine k, given that 13*k**3 - 9/4 + 21/2*k + 1/2*k**5 - 35/2*k**2 - 17/4*k**4 = 0.
1/2, 1, 3
Let i(v) be the third derivative of v**9/1512 + 3*v**8/1960 + v**7/1470 + 2*v**3/3 - 3*v**2. Let w(x) be the first derivative of i(x). Factor w(u).
2*u**3*(u + 1)*(7*u + 2)/7
Let k(y) be the third derivative of -13/180*y**5 + 1/60*y**6 + 0 - 2/9*y**3 + 1/6*y**4 - 1/630*y**7 - 5*y**2 + 0*y. Solve k(i) = 0.
1, 2
Suppose 0*x = x - 2*r - 7, -2*x = -2*r - 10. Let f be (9/12)/(6/4). Factor 0*c - f*c**x + 1/4*c**2 + 1/4*c**4 + 0.
c**2*(c - 1)**2/4
Suppose -8*y - 17*y + 75 = 0. Let -8/3*u**2 + 0 + 2/3*u + 2/3*u**5 - 8/3*u**4 + 4*u**y = 0. Calculate u.
0, 1
Let g = -16 + 22. Let n(o) be the third derivative of 0 + 4/105*o**7 - 1/30*o**g - 1/8*o**5 + 0*o - 1/12*o**3 + 1/6*o**4 - o**2. Factor n(i).
(i - 1)*(i + 1)*(4*i - 1)**2/2
Let n(m) be the first derivative of -m**4 + 4*m**3/3 + 4*m**2 + 6. Solve n(y) = 0.
-1, 0, 2
Suppose b = 6*b - 1105. Let j = 673/3 - b. Let -1/3 - 10/3*x**2 - j*x**3 - 5/3*x - 5/3*x**4 - 1/3*x**5 = 0. Calculate x.
-1
Factor -i**4 + 131*i**2 - 41*i**2 - 10*i**3 - 16 - 44*i**2 - 40*i - 79*i**2.
-(i + 1)**2*(i + 4)**2
Solve 10*t**4 + 3*t**3 + 8*t**5 + t**3 - 14*t**5 = 0.
-1/3, 0, 2
Factor -80/3*k**2 + 65/3*k**3 + 20/3*k - 5*k**4 + 0.
-5*k*(k - 2)**2*(3*k - 1)/3
Suppose 8 = r - 0. Suppose -r = -5*p + p. Suppose 3/4*i - 1/2 - 1/4*i**p = 0. What is i?
1, 2
Let o(m) be the second derivative of 5*m**4/48 - 5*m**2/8 - 8*m. Factor o(f).
5*(f - 1)*(f + 1)/4
Let d(v) = -v**2 - 9*v + 6. Let j be d(-9). Let k(a) be the third derivative of -a**2 + 0 + 0*a - 1/20*a**5 - 1/90*a**j - 1/36*a**4 + 0*a**3. Solve k(n) = 0.
-2, -1/4, 0
Let w be (5/(-30))/(2/(-16)). Factor -2/3*b + w - 2/3*b**2.
-2*(b - 1)*(b + 2)/3
Let d(r) be the first derivative of -4*r**5 + 13*r**4 - 16*r**3/3 - 8*r**2 + 5. Factor d(k).
-4*k*(k - 2)*(k - 1)*(5*k + 2)
Factor -36*b**2 - 8*b + 8*b + 4*b**5 - 28*b**4 + 60*b**3.
4*b**2*(b - 3)**2*(b - 1)
Let w(b) be the third derivative of b**5/80 - 13*b**2. Factor w(g).
3*g**2/4
Let a = -25 - -27. Factor 18*t**2 + 3 + 18*t + 3*t + a - 2.
3*(t + 1)*(6*t + 1)
Factor 13*l**4 - 92*l**2 - 16*l**3 - 11*l - 2 + 20*l**3 + 3*l**4 + 78*l**2 + 7*l**5.
(l - 1)*(l + 1)**3*(7*l + 2)
Let d be (1 - (5 + -4))/(-2). Let 0 + 2/3*m**4 + 0*m**3 + 0*m**2 + d*m = 0. What is m?
0
Let t(i) be the first derivative of i**4 - 2*i**2 + 2/5*i**5 + 0*i + 3 - 2/3*i**3. Solve t(a) = 0 for a.
-2, -1, 0, 1
