- h**5.
h**2*(h - 1)**3
Let n = -7 - -1. Let w be n/(-5) - (1 + 0). Determine h so that 0 - 1/5*h - 2/5*h**2 - w*h**3 = 0.
-1, 0
Let v(x) = x**3 + 9*x**2 + 8*x + 12. Let o be v(-8). Suppose -3 = -3*g + o. Factor s**3 + s**3 - s**3 + 2*s**g + 3*s**4.
s**3*(s + 1)*(2*s + 1)
Suppose -161 = 2*k - 165. Let 0*z - 1/4 + 1/4*z**k = 0. Calculate z.
-1, 1
Suppose 9*b - 2*b**2 - 11 - 3*b + 7 = 0. What is b?
1, 2
Suppose 4*h = 2*h + 4*d + 16, 0 = h - 5*d - 11. Suppose -f = 2*f - h. What is p in -3*p**2 - 2*p**3 + 4 + f - 9*p + 11*p**3 - 3*p**4 = 0?
-1, 1, 2
Let b = -18 + 18. Let h(a) be the first derivative of 0*a - 2/27*a**3 + b*a**2 - 4/45*a**5 - 1/6*a**4 - 2. Let h(c) = 0. Calculate c.
-1, -1/2, 0
Let l(j) be the first derivative of -j**6/15 + j**5/5 - 2*j**3/3 + j**2 + j - 3. Let o(n) be the first derivative of l(n). Find s such that o(s) = 0.
-1, 1
Let x = 17 - 14. Let r(q) be the second derivative of -1/36*q**4 + 1/30*q**5 + q + 0*q**2 + 0 + 0*q**x - 1/90*q**6. Let r(t) = 0. Calculate t.
0, 1
Let q(s) = 7*s + 17. Let n be q(-2). Let f(j) be the second derivative of -3/20*j**5 + 0 + 0*j**2 + 1/10*j**6 - 1/4*j**4 - 2*j + 1/2*j**n. Factor f(p).
3*p*(p - 1)**2*(p + 1)
Factor 1/2*y**3 + 1/2 - 1/2*y - 1/2*y**2.
(y - 1)**2*(y + 1)/2
Suppose 0 = -2*h + h + w - 2, 0 = -2*h + 3*w - 9. Suppose 14 + 1 = h*l. Solve 4*q**3 - 6*q - 4*q**4 + 10*q**4 - 4*q**2 + 2*q**l - 2 + 0*q**5 = 0 for q.
-1, 1
Determine b so that 1/2*b**2 + 0*b**3 + 0 + 0*b - 1/2*b**4 = 0.
-1, 0, 1
Let i(z) = -z**3 + 4*z**2 - 2*z - 2. Let q be i(4). Let m = q + 16. Factor b + m*b**3 - 7*b**4 + 0*b**2 + 3*b**4 - 4*b**2 + 2*b**5 - b**5.
b*(b - 1)**4
Let f(p) = 2*p**2 - 4*p + 3. Let j(v) = -5*v**2 + 9*v - 7. Let w(k) = 7*f(k) + 3*j(k). What is n in w(n) = 0?
-1, 0
Suppose 2*p + 16 = 6*p. Let z(s) be the first derivative of 0*s + 1/4*s**p - 1 - 3/20*s**5 + 0*s**2 - 1/12*s**3. Factor z(k).
-k**2*(k - 1)*(3*k - 1)/4
Let i = 41 + -193/5. Suppose 4*g + 1 = 2*l + 3, -3*l = 3*g - 15. Factor 12/5*c**l - 3/5 + i*c - 18/5*c**2 - 3/5*c**4.
-3*(c - 1)**4/5
Let o + 14*o**2 - 11*o**2 + 4*o**3 + o**4 - o**3 = 0. Calculate o.
-1, 0
Factor -8*g**2 + 18*g**5 - 20*g - 10*g**4 + 28*g**2 - 23*g**5 + 15*g**3.
-5*g*(g - 1)**2*(g + 2)**2
Let 36*n + 4*n**4 - 16 + 12*n**2 - 6*n**3 - 16*n - 14*n**3 = 0. Calculate n.
-1, 1, 4
Let k(v) be the second derivative of -v**7/56 - v**6/10 - 9*v**5/40 - v**4/4 - v**3/8 - 9*v. Solve k(z) = 0.
-1, 0
Solve 0 + 2/5*x - 6/5*x**2 = 0.
0, 1/3
Factor 22 + 8*x - 5*x**2 + x**2 - 7 - 3.
-4*(x - 3)*(x + 1)
Let d(o) be the second derivative of -o**5/10 - o**4/2 - 2*o**3/3 + 6*o. Factor d(a).
-2*a*(a + 1)*(a + 2)
Let l(s) = s**3 + 2*s**2 - 2*s + 1. Let o be l(1). Suppose r = -o*r. What is z in -6/5*z**4 + 18/5*z**2 + r*z - 8/5 - 4/5*z**3 = 0?
-2, -2/3, 1
Let 5 + 12*s**3 - 8*s**2 + 4*s**3 - 4*s**4 + 7 - 16*s = 0. Calculate s.
-1, 1, 3
Let z(v) = 6*v**4 - 4*v**2 + 4*v + 2. Let y(l) = -l**4 - l. Let n be (-5 - 3)/(-4) + 2. Let i(q) = n*y(q) + z(q). Factor i(b).
2*(b - 1)**2*(b + 1)**2
Let q(n) = -9*n**2 + 7*n + 7. Let p(j) = -4*j**2 + 3*j + 3. Let f(t) = 7*p(t) - 3*q(t). Factor f(r).
-r**2
Let p(q) = -q**3 - 7*q**2 - 5*q + 10. Let y(j) = -2*j**3 - 6*j**2 - 6*j + 10. Let u(b) = 4*p(b) - 3*y(b). Let u(r) = 0. Calculate r.
-1, 1, 5
Let h be ((-3)/3)/(-1) - -3. Suppose 0 = -h*g + 3*g. Factor g + 0*m**2 - m**3 + 0*m + 5/2*m**4.
m**3*(5*m - 2)/2
Let h be -3 + -4 + 0 + 3. Let b be -1*(-3)/(-6)*h. Factor -1/4*r + 0 + 1/4*r**b.
r*(r - 1)/4
Let r = -4 - -8. Suppose -5*u + r = -11. Factor u*x - 2*x + 4*x**2 - 5*x**2.
-x*(x - 1)
Let x = -749998531/1008375276 + -1/4712034. Let r = 2/321 - x. Factor 0*s + 0 - 3/4*s**4 - 1/4*s**5 - r*s**3 - 1/4*s**2.
-s**2*(s + 1)**3/4
Suppose -4*k = -2*k. Suppose k = 5*m - 8*m + 12. Suppose 4/9*j**2 + 0 - 2/3*j**3 + 0*j - 4/9*j**m + 2/3*j**5 = 0. Calculate j.
-1, 0, 2/3, 1
Let g be (0 + 10)*2/5. Factor 1/2*s**2 - 1/2*s + 1/2*s**3 + 0 - 1/2*s**g.
-s*(s - 1)**2*(s + 1)/2
Factor -1/6*q**2 - 2/3 - 2/3*q.
-(q + 2)**2/6
Let u(i) be the third derivative of i**6/60 - i**5/15 + i**4/12 + i**2. Let u(k) = 0. What is k?
0, 1
Let a(t) be the first derivative of -5*t**4/8 - 5*t**3/4 + 15*t**2/8 + 5*t/2 + 18. Factor a(k).
-5*(k - 1)*(k + 2)*(2*k + 1)/4
Let b(r) be the second derivative of -r**7/70 - 3*r**6/50 - 3*r**5/50 + r**4/10 + 3*r**3/10 + 3*r**2/10 + 9*r. Find c such that b(c) = 0.
-1, 1
Let s be (-32)/(-14) - 18/63. Let l be (10/105)/(s/6). Find j such that 0 - l*j**2 + 2/7*j = 0.
0, 1
Let t = -120 - -1286/5. Solve -16/5 + 168/5*h - 588/5*h**2 + t*h**3 = 0.
2/7
Let i = 2 + -3. Let f be ((-1)/1 - 2)/i. Factor 4 - 3*k + k**2 + f - 3 - 2.
(k - 2)*(k - 1)
Let i(b) = -24*b - 32. Let l(q) = q**2 + 24*q + 33. Let k(n) = -3*i(n) - 4*l(n). Solve k(f) = 0.
-3
Let t(s) be the second derivative of 2*s**7/21 - 2*s**6/15 - s**5/5 + s**4/3 + 11*s. Solve t(n) = 0.
-1, 0, 1
Let l be 246/18 + 4/(-6). Let m = l - 9. Factor -f**2 + 5*f**m - 2*f**5 - 8*f**4 - 3*f**3 + f**5.
-f**2*(f + 1)**3
Suppose 2*b + 2*q - 38 = 0, 2*b - 20 = 2*q + 6. Suppose 6*u = 2*d + 2*u - b, 3*u = 5*d - 19. Factor 0 + 1/2*p**d + 0*p.
p**2/2
Let w(r) = 8 + 9*r**2 + 0*r + 3*r - 12*r - 6*r**2. Let i(n) = -6*n**2 + 18*n - 17. Let q(c) = 2*i(c) + 5*w(c). Factor q(g).
3*(g - 2)*(g - 1)
Let o(p) = p**2 - 8*p + 6. Let j be o(8). Factor f**3 - 4*f**3 + 2*f**5 - 5*f**5 - 3*f**2 + j*f**3 + 3*f**4.
-3*f**2*(f - 1)**2*(f + 1)
Let x(g) be the third derivative of -1/48*g**5 + 1/24*g**3 + 0 + 1/210*g**7 + 2*g**2 - 1/32*g**4 + 1/160*g**6 + 0*g. Determine w so that x(w) = 0.
-1, 1/4, 1
Let d(x) = 2*x**3 - 4*x**2 + 24*x - 32. Let q(f) = 5*f**3 - 11*f**2 + 72*f - 96. Let u(b) = -11*d(b) + 4*q(b). Determine k, given that u(k) = 0.
-4, 2
Let v = 4 - 0. Let 3*g**v + 7*g**3 - 7*g**5 - g**4 - 2*g**2 + 0*g**2 = 0. Calculate g.
-1, 0, 2/7, 1
Let p(i) be the second derivative of i**7/105 + i**6/20 + i**5/15 - 3*i**2/2 + 5*i. Let z(r) be the first derivative of p(r). Factor z(n).
2*n**2*(n + 1)*(n + 2)
Let k(c) be the third derivative of -2*c**2 + 0 + 0*c + 0*c**4 - 1/60*c**5 + 1/6*c**3. Find n, given that k(n) = 0.
-1, 1
Factor -1/9*b + 1/9*b**2 + 0.
b*(b - 1)/9
Suppose -l = l. Solve -3*q**5 - 21*q**4 - 9*q**5 + l*q**5 + 12*q**2 + 3*q**5 = 0 for q.
-2, -1, 0, 2/3
Let h be (1 + -2)*(-2)/4. Let n be 3 + 3/12*-10. Factor 0*g + h*g**2 - n.
(g - 1)*(g + 1)/2
Let v = -816/5 + 164. Find h such that 7/5*h**3 + 17/5*h**2 - 16/5*h + 9/5*h**5 + v - 21/5*h**4 = 0.
-1, 2/3, 1
Let x(w) be the second derivative of -w**5/25 - 2*w**4/5 - 8*w**3/5 - 16*w**2/5 - 9*w. Factor x(h).
-4*(h + 2)**3/5
Let -9/2*l**3 - 1/2*l**2 + 0 - 12*l**4 + 0*l - 8*l**5 = 0. Calculate l.
-1, -1/4, 0
Let h(c) be the third derivative of -c**7/70 - 3*c**6/20 + c**5/20 + 3*c**4/4 - 12*c**2. Solve h(i) = 0 for i.
-6, -1, 0, 1
Factor p**3 - p**4 + p**3 + 0*p**3 - p**4.
-2*p**3*(p - 1)
Let k(f) = -f**3 - 3*f**2 - 4*f - 2. Let y be k(-2). Suppose -2 = -2*s + y. Determine n so that 0 - 4*n**3 + 2*n**4 + 0 + 2*n**s = 0.
0, 1
Let 4/3*q + 0 - 4/3*q**3 + 2/3*q**4 - 2/3*q**2 = 0. What is q?
-1, 0, 1, 2
Let r(m) be the second derivative of m**7/273 - m**6/195 - m**5/26 - m**4/26 - 4*m. What is z in r(z) = 0?
-1, 0, 3
Let 1/4*o + 0 - 1/4*o**2 = 0. What is o?
0, 1
Let u(y) be the second derivative of y**7/1680 + y**6/240 + y**5/80 + y**4/48 - y**3/2 - 3*y. Let n(v) be the second derivative of u(v). Factor n(f).
(f + 1)**3/2
Solve 2/7*j**5 + 0 - 2/7*j**2 - 2/7*j**3 + 2/7*j**4 + 0*j = 0.
-1, 0, 1
Let j be (11 - 8) + -1 + 0. Let t(d) be the third derivative of 2/15*d**3 + d**j + 0 + 1/60*d**4 + 1/60*d**6 + 0*d - 4/75*d**5. Let t(b) = 0. Calculate b.
-2/5, 1
Suppose -3/2*t**4 - 21/2*t**3 + 0 - 12*t - 21*t**2 = 0. What is t?
-4, -2, -1, 0
Let o = 68/37 - 2157/1073. Let l = o + 131/87. What is n in l + 8/3*n**3 + 2*n**2 - 6*n = 0?
-2, 1/4, 1
Let q be 12/8*(-10)/(-3). Suppose -12 = -q*s + 3. Factor -2/7*c**s + 0 + 0*c + 2/7*c**2.
-2*c**2*(c - 1)/7
Let g(s) be the third derivative of 2*s**2 + 0*s - 1/96*s**4 - 1/240*s**5 + 0*s**3 + 0. Factor g(d).
-d*(d + 1)/4
Let s(v) be the second derivative of -v**5/90 - 5*v**4/18 - 25*v**3/9 - 125*v**2/9 + 9*v. Let s(o) = 0. Calculate o.
-5
Let q(w) be the first derivative of -w**3/2 - 2*w**2 + 3*w/2 + 3. Find r such that q(r) = 0.
-3, 1/3
Let p(f) be the second derivative of f**5/10 