j(u) + x(u). Suppose q(t) = 0. Calculate t.
-1, 2
Let w(l) be the first derivative of -l**4/12 - l**3/9 + 5*l**2/6 - l + 13. Determine y so that w(y) = 0.
-3, 1
Let q(r) be the first derivative of -r**6/10 - 11*r**5/60 - r**4/12 - 5*r**2/2 + 7. Let w(d) be the second derivative of q(d). Find m such that w(m) = 0.
-2/3, -1/4, 0
Let c be (6 - 187/33)*6. Factor -4/5*i - 2/5*i**c + 0.
-2*i*(i + 2)/5
Let s(n) = 19*n**3 + 16*n**2 + 9*n. Let b(x) = -170*x**3 - 145*x**2 - 80*x. Let k(m) = -4*b(m) - 35*s(m). Factor k(w).
5*w*(w + 1)*(3*w + 1)
Let d(l) = -3*l + 33. Let i be (-5*2)/(0 - 1). Let u be d(i). Factor 0 + 0*c + 1/4*c**2 - 1/2*c**u + 1/4*c**4.
c**2*(c - 1)**2/4
Suppose -127*q + 12 = -123*q. Let i(s) be the first derivative of -q*s**2 - 3/4*s**4 + 0*s - 1 + 3*s**3. Find g such that i(g) = 0.
0, 1, 2
Suppose 0 = 2*s - 13 - 3. Suppose -5*k = -k - s. Factor -2*g**2 + g**k + 4 - 5 + 2.
-(g - 1)*(g + 1)
Let b = -13 + 16. Solve -x**3 + x**3 - 4*x**4 + 10*x**4 + 2*x**b = 0 for x.
-1/3, 0
Let b(i) be the first derivative of i**7/63 + i**6/45 - i**5/30 - i**4/18 + i - 3. Let t(h) be the first derivative of b(h). Factor t(l).
2*l**2*(l - 1)*(l + 1)**2/3
Let p be 3 - (-4 + 0 + 2 + 5). Factor -2/3*f + 1/3*f**4 + p*f**2 + 2/3*f**3 - 1/3.
(f - 1)*(f + 1)**3/3
Let n(s) be the second derivative of 0*s**2 + 0*s**5 + 0*s**3 + 0 - 1/54*s**4 + 1/135*s**6 - 7*s. Determine z so that n(z) = 0.
-1, 0, 1
Let u(a) be the third derivative of -a**7/420 + a**6/48 - a**5/15 + a**4/12 + 6*a**2. Let u(r) = 0. What is r?
0, 1, 2
Factor 4/3 - 2*f + 2/3*f**2.
2*(f - 2)*(f - 1)/3
Let o be 1 - ((-7)/((-35)/20) - 3). Factor a**2 - 1/2*a + o*a**3 + 1/2*a**5 - a**4 + 0.
a*(a - 1)**3*(a + 1)/2
Suppose -8*r + 65 = -3*r. Suppose 7 + r = 5*c. Solve -d**3 - 1/3*d**2 + 0 - d**c + 0*d - 1/3*d**5 = 0 for d.
-1, 0
Let h(s) = -10*s**3 + s**2 - s - 1. Let t be h(-1). Suppose -16 = -4*w - 4*d, -5*d + 3 + t = 2*w. Suppose 1/2*g**w + g + 1/2 = 0. What is g?
-1
Let j(y) = -y**3 - 3*y**2 - 27*y - 29. Let z(a) = 4*a**3 + 14*a**2 + 134*a + 146. Let m(n) = 28*j(n) + 6*z(n). Factor m(d).
-4*(d - 4)*(d + 2)**2
Let p(j) = -j**3 - 3*j**2 - 2*j - 1. Let q be p(-3). Factor 2/3*h**q + 4*h**4 + 4/3 + 6*h + 28/3*h**3 + 32/3*h**2.
2*(h + 1)**4*(h + 2)/3
Let g(y) = -5*y. Let i be g(-1). Suppose -i*o + 34 - 9 = 0, -3*x = -5*o + 25. Factor x*s + 1/3*s**3 + 0 + 1/3*s**2.
s**2*(s + 1)/3
Suppose 4*f - 8 = 0, f = 2*j - 4*f + 6. Factor j*o**4 - 6*o**4 - 5*o**3 + 9*o**3.
-4*o**3*(o - 1)
Let o = -15 - -33. Let g be 24/16*4/o. Factor -1/3*k + g*k**2 + 0.
k*(k - 1)/3
Let f(u) be the second derivative of u**7/21 + 2*u**6/15 - 11*u**5/10 - 20*u**4/3 - 44*u**3/3 - 16*u**2 - 8*u + 3. Let f(a) = 0. Calculate a.
-2, -1, 4
Let j(v) be the third derivative of -v**7/1155 + v**6/660 + v**5/110 - v**4/132 - 2*v**3/33 - 7*v**2. Suppose j(l) = 0. Calculate l.
-1, 1, 2
Let i(c) be the second derivative of -c**6/90 + c**5/5 - 3*c**4/2 + c**3 - c. Let x(j) be the second derivative of i(j). Factor x(g).
-4*(g - 3)**2
Let s = 5/37 + 9/481. Factor -2/13*p**2 + 2/13*p**4 - s*p**3 + 2/13*p + 0.
2*p*(p - 1)**2*(p + 1)/13
Suppose -j = -4*v + 11, -2*j = -2*v - 7*j + 11. Determine o, given that -o**5 - 4*o**4 + 3*o**5 + o**3 + o**v = 0.
0, 1
Let c = -12 + 20. Let j = c + -5. Find h such that 0*h**2 + 1/2*h**j - 1/2*h + 0 = 0.
-1, 0, 1
Factor 57*b + 70 - 137*b + 330 + 4*b**2.
4*(b - 10)**2
Let a(j) be the first derivative of j**8/1512 + j**7/945 - j**6/270 + j**2 - 5. Let c(u) be the second derivative of a(u). Determine f so that c(f) = 0.
-2, 0, 1
Let g = 8 + -6. Let c(k) = -14*k**3 - k**4 - 18*k**3 + 1 + 31*k**3. Let t(h) = 2*h**4 - h**3 + h**2 - 1. Let a(o) = g*c(o) + 2*t(o). Find w such that a(w) = 0.
0, 1
Let u(b) be the third derivative of 3*b**2 - 1/36*b**3 + 0 + 1/120*b**5 + 1/72*b**4 + 0*b. Factor u(m).
(m + 1)*(3*m - 1)/6
Factor 1/4*k**2 - 3/4*k**3 + 1/2*k + 0 - 1/4*k**4 + 1/4*k**5.
k*(k - 2)*(k - 1)*(k + 1)**2/4
Let f(k) be the first derivative of 7*k**6/150 + 4*k**5/25 - 2*k**4/15 - k**2 - 3. Let m(j) be the second derivative of f(j). Determine i, given that m(i) = 0.
-2, 0, 2/7
Let x(s) be the first derivative of s**4/10 - 2*s**3/5 + 59. Find w such that x(w) = 0.
0, 3
Let f(q) be the second derivative of 4*q + 1/30*q**4 - 1/15*q**3 - 1/5*q**2 + 1/50*q**5 + 0. Solve f(d) = 0.
-1, 1
Factor 7*z**3 + 3*z**4 - z**3 - 8*z - z**4.
2*z*(z - 1)*(z + 2)**2
Let p(k) = k**2 + 9*k. Let j be p(-8). Let r be (j/6)/(4/(-6)). Let -8*z**5 - 6*z - 3*z**4 + 2*z**5 + 10*z**3 - 3 + 6*z**2 + r*z**3 = 0. What is z?
-1, -1/2, 1
Let z(n) = 6*n**3 - 1. Let f be z(1). Suppose -3*j + f*j + 8 = 2*q, 0 = -2*q - 2*j. Factor -2/7 - 2/7*w**4 - 4/7*w**3 + 4/7*w**q + 2/7*w**5 + 2/7*w.
2*(w - 1)**3*(w + 1)**2/7
Let y(g) = -6*g**2 + 12*g - 6. Let w(a) = a**3 + 11*a**2 - 25*a + 13. Let x = -15 + 10. Let u(h) = x*y(h) - 3*w(h). Factor u(t).
-3*(t - 1)**2*(t + 3)
Let f be -2 + 3 + -2 + 2. Let z(i) be the first derivative of -1/5*i**5 - 1/4*i**4 + 1/2*i**2 + 0*i - f + 1/3*i**3. Factor z(t).
-t*(t - 1)*(t + 1)**2
Factor -1 - g**2 - 3*g + g + 4*g.
-(g - 1)**2
Let b(c) be the first derivative of 0*c + 2*c**2 + 1/2*c**4 + 2*c**3 + 3. Determine n so that b(n) = 0.
-2, -1, 0
Find u, given that -6 + 0*u**3 - 3*u**5 - u**3 + 7*u**3 + 12*u**2 - 3*u - 6*u**4 = 0.
-2, -1, 1
Let v(d) = -3*d**2 - 7*d - 3*d**2 - d**3 + 4 - 10. Let p be v(-5). What is b in -6*b**2 - 12*b**p - 2*b**2 + 15*b**3 + 4*b**3 + b = 0?
0, 1/4, 1/3, 1
Find q, given that 17*q**2 + 10*q**2 + q + 14*q**2 + 2 - 42*q**2 = 0.
-1, 2
Let x(z) be the third derivative of z**8/1512 - z**7/189 + z**6/90 + 2*z**5/135 - 2*z**4/27 + 10*z**2. Find d such that x(d) = 0.
-1, 0, 2
Let c(t) be the second derivative of 1/10*t**5 + 0*t**3 + 0 + 0*t**2 + 0*t**4 + 3*t + 1/15*t**6. Factor c(m).
2*m**3*(m + 1)
Let y(p) be the second derivative of -35*p**4/12 + 40*p**3/3 - 10*p**2 - 16*p. Let y(t) = 0. Calculate t.
2/7, 2
Let z(y) be the second derivative of y**7/14 + y**6/5 - 3*y**5/10 - y**4 + y**3/2 + 3*y**2 + 5*y. Let z(i) = 0. Calculate i.
-2, -1, 1
Let j(d) = 4*d**2 - d - 3 - 2*d**3 + 3*d**2 + 3*d**3. Let q be j(-7). Factor 2/5*v**q + 0*v**2 - 4/5*v**3 - 2/5 + 4/5*v.
2*(v - 1)**3*(v + 1)/5
Let a be (-1 + 1)*(-10 - -5)/(-15). Solve a + 2/15*f - 2/15*f**2 = 0 for f.
0, 1
Let a be 45/(-30)*8/(-6). Let x(s) be the first derivative of -2 + 2/5*s**a - 1/5*s**4 + 2/5*s + 0*s**3 - 2/25*s**5. Factor x(u).
-2*(u - 1)*(u + 1)**3/5
Suppose 3 = 3*y - 6. Let z be 370/99 + (-30)/165. Factor -32/9*g**y + z*g + 32/9 - 2/9*g**5 - 16/9*g**2 - 14/9*g**4.
-2*(g - 1)*(g + 2)**4/9
Let j = -86 + 90. Let m(y) be the first derivative of 0*y + 0*y**2 + 2 + 0*y**3 - 1/14*y**j. Solve m(s) = 0 for s.
0
Let j = -123 - -86. Let k = j + 187/5. Factor 0*m + k*m**2 - 2/5.
2*(m - 1)*(m + 1)/5
Let m(b) be the second derivative of 4*b**4 - 21/20*b**5 - b + 0 - 11/2*b**3 + 3*b**2. Determine g so that m(g) = 0.
2/7, 1
Let t be (1/2)/(6/4). Let h(a) be the first derivative of 2/9*a**3 + t*a**2 + 1 + 0*a. Solve h(j) = 0.
-1, 0
Let v = 18 - 16. Let j(y) be the second derivative of 1/5*y**v + 1/30*y**4 + 3*y + 0 - 2/15*y**3. Find w, given that j(w) = 0.
1
Let n(v) be the second derivative of v**6/150 + v**5/100 - v**4/20 - v**3/6 - v**2/5 - 14*v. Factor n(b).
(b - 2)*(b + 1)**3/5
Suppose s = -2*u - 2, 0 = 4*s + s + 5*u. Factor -3*q**2 - 5*q**3 - 2*q**4 - q**s - q**3 + 0*q**3.
-2*q**2*(q + 1)*(q + 2)
Let s(o) = 16*o**3 + 16*o**2 - 16*o + 6. Let q(w) = 3*w**3 + 3*w**2 - 3*w + 1. Let k(i) = -11*q(i) + 2*s(i). Factor k(y).
-(y - 1)*(y + 1)**2
Factor -12/7*w**2 - 2/7*w**4 - 2/7 + 8/7*w**3 + 8/7*w.
-2*(w - 1)**4/7
Let v be ((-6)/(-8))/((-2)/(-8)). Suppose 3*d = -0*d + 6. What is f in 4 - 3 + d*f**v + f - 3*f**3 - f**2 = 0?
-1, 1
Let i(m) be the first derivative of -5*m**4/4 + 25*m**3/3 - 10*m**2 + 12. Factor i(j).
-5*j*(j - 4)*(j - 1)
Let a be 1 + (-2)/6 + 4/3. Let p = 29/45 + 1/45. Factor p*v**a + 0 + 0*v.
2*v**2/3
Let b(t) be the second derivative of 0 + 1/4*t**4 + 9/2*t**2 - 5/2*t**3 - 2*t + 3/20*t**5. Factor b(a).
3*(a - 1)**2*(a + 3)
Let y be (39/18 + -2)/(1/18). Let -1/2*h**2 + 0 + 3/2*h**4 + 0*h + 0*h**y - h**5 = 0. What is h?
-1/2, 0, 1
Suppose -2*q - 1 = -3*q. Let t be (-4)/(38/(-19) + (-2 - -2)). Factor -v + q + 1/4*v**t.
(v - 2)**2/4
Let y(o) be the second derivative of o*