(l) = 0?
-1, -1/4
Factor 2/3 - o**2 - 1/3*o.
-(o + 1)*(3*o - 2)/3
Let b(y) = 4*y - 32. Let n be b(9). Let g(p) be the second derivative of 0*p**2 - p - 1/30*p**n + 1/100*p**5 + 0 + 1/30*p**3. Find t, given that g(t) = 0.
0, 1
Factor -9/2 - 3/2*t**2 + 3/2*t**3 - 15/2*t.
3*(t - 3)*(t + 1)**2/2
Let q(y) be the first derivative of -1 + 1/14*y**4 + 4/21*y**3 + 0*y**2 + 0*y. Factor q(g).
2*g**2*(g + 2)/7
Factor 3/2 - 19/4*t - 7/4*t**2.
-(t + 3)*(7*t - 2)/4
Let x(h) be the third derivative of h**8/168 - h**7/105 - h**6/60 + h**5/30 - h**2. Factor x(u).
2*u**2*(u - 1)**2*(u + 1)
Let j = 1 - 1. Let d(k) be the third derivative of j*k**3 + 1/42*k**4 + 1/70*k**5 + 1/420*k**6 + 2*k**2 + 0 + 0*k. Solve d(i) = 0.
-2, -1, 0
Let t be (-39)/2*1/(-18). Let j = 7/4 - t. Factor 2/3*d - 8/3*d**4 - 8/3*d**2 + j*d**5 + 4*d**3 + 0.
2*d*(d - 1)**4/3
Let d(y) be the first derivative of 3*y**5/10 - 57*y**4/32 + 27*y**3/8 - 3*y**2/2 - 3*y/2 + 13. Find g, given that d(g) = 0.
-1/4, 1, 2
Let a(m) be the second derivative of -m**5/10 + m**4/3 + m**3/3 - 2*m**2 + 10*m. Suppose a(f) = 0. What is f?
-1, 1, 2
Let l(f) = -14*f**5 + 17*f**4 - 5*f**3 - 12*f**2 - 14*f + 17. Let h(c) = -5*c**5 + 6*c**4 - 2*c**3 - 4*c**2 - 5*c + 6. Let y(d) = 11*h(d) - 4*l(d). Factor y(s).
(s - 2)*(s - 1)**2*(s + 1)**2
Let u(z) = -z - 1. Let i be u(-2). Let l be i*-3 + 65/20. Factor -1/4*v - l*v**2 + 0.
-v*(v + 1)/4
Let g(x) be the first derivative of -3/2*x**4 + 0*x**2 + 0*x - 2/3*x**3 - 1/3*x**6 + 3 - 6/5*x**5. Determine v so that g(v) = 0.
-1, 0
Let w be ((-2)/3)/(2/(-9)). Suppose 32 = w*z + z. What is d in -9*d**4 + 2*d**5 - z + 0*d**5 - 12*d + 14*d**2 + 4*d**3 + 3*d**3 = 0?
-1, -1/2, 2
Suppose 0 = w - 5*w + 2*d + 16, 5*d - 10 = 0. Suppose 0 + w = 5*t. Solve 2*s**2 - t + 4 - 5 = 0.
-1, 1
Let i(c) be the second derivative of -c**6/270 + c**5/90 - c**4/108 - 4*c. Find v such that i(v) = 0.
0, 1
Let k(o) be the second derivative of -7*o**5/80 - 5*o**4/32 + o**3/4 + o**2/2 - 3*o. Let b(m) be the first derivative of k(m). What is t in b(t) = 0?
-1, 2/7
Let s(g) = -g**2 + 5*g + 6. Let u be s(6). Let f = 2 + u. Let -1/2*z + 0 - 3/2*z**3 + 3/2*z**f + 1/2*z**4 = 0. Calculate z.
0, 1
Let z(u) = 243*u**3 + 1575*u**2 - 958*u + 142. Let p(h) = h**3 - h - 1. Let o(v) = -2*p(v) - z(v). Factor o(t).
-5*(t + 7)*(7*t - 2)**2
Let s(r) be the third derivative of r**7/420 + r**6/60 + r**5/30 - 6*r**2. Factor s(m).
m**2*(m + 2)**2/2
Let l = -65/3 - -22. Suppose 0 = -4*r + 5*r, -4*b + 8 = -2*r. Factor -4/3*u - u**b - l.
-(u + 1)*(3*u + 1)/3
Suppose 2*h - 5*h - 1 = 2*u, 11 = 5*h - 3*u. Let c be (-2 + h)*2 - -6. Factor -4/7*g**c + 0*g**3 + 4/7*g**2 - 2/7*g + 0 + 2/7*g**5.
2*g*(g - 1)**3*(g + 1)/7
Suppose -2*l + 2*j = -8, l - 3*j + 5 - 1 = 0. Let b = -6 + l. Suppose 1 + 1/2*c**b - 3/2*c = 0. Calculate c.
1, 2
Let t(b) be the second derivative of 7*b + 0*b**2 + 0 + b**4 + 2*b**3 + 3/20*b**5. Determine p so that t(p) = 0.
-2, 0
Suppose -s**2 - s**2 - 3*s**2 + 50*s = 0. Calculate s.
0, 10
Suppose 5*r + 15 = 0, 12 + 9 = 3*p - 5*r. Let q(c) be the first derivative of -2/3*c + 2/9*c**3 + 0*c**2 + p. Factor q(k).
2*(k - 1)*(k + 1)/3
Let a be (-12*2/3)/(4/(-2)). Let o(z) be the first derivative of 2 - 1/2*z + 1/8*z**a - 1/4*z**2 + 1/6*z**3. Factor o(d).
(d - 1)*(d + 1)**2/2
Let l = -111 + 111. Let u(n) be the second derivative of 2*n**2 + l - n + 2/3*n**3 + 1/12*n**4. Factor u(t).
(t + 2)**2
Suppose -r + 1 = -4. Let t be ((-11)/r - -2) + 3. Factor 16/5*v**2 + t*v + 4/5 + 6/5*v**3.
2*(v + 1)**2*(3*v + 2)/5
Let f(i) be the third derivative of -1/80*i**5 + 0*i - 2*i**2 + 1/6*i**3 + 0*i**4 + 0 + 1/480*i**6. Factor f(y).
(y - 2)**2*(y + 1)/4
Let v be 4/(-6)*-3 - 0. Factor 2*s**v - 2*s - 2*s**2 - 5*s**2 - 4*s**3 - s**4.
-s*(s + 1)**2*(s + 2)
Factor -10/7 - 2/7*a**2 - 12/7*a.
-2*(a + 1)*(a + 5)/7
Let m be (21/35)/(2/40). Let q be (-1)/(-2) - 2/m. Determine j, given that 0 - q*j - j**2 = 0.
-1/3, 0
Let g(k) be the first derivative of k**4/12 - k**3/9 - k**2/6 + k/3 + 59. Factor g(i).
(i - 1)**2*(i + 1)/3
Let m(k) be the first derivative of -1/9*k**2 + 5 - 2/27*k**3 + 0*k. Factor m(a).
-2*a*(a + 1)/9
Factor -3*p**2 + p**3 + 2*p + 76 - 76.
p*(p - 2)*(p - 1)
Let g be ((-16)/14)/((-3)/7). Solve -g*x**3 + 4/3*x - 1/3 + 4/3*x**5 - 1/3*x**4 + 2/3*x**2 = 0 for x.
-1, 1/4, 1
Let d be (2/8)/(3/24). Let i(a) be the second derivative of -1/10*a**5 + 0 + a**d - 2*a - 1/6*a**4 + 1/3*a**3. Factor i(m).
-2*(m - 1)*(m + 1)**2
Let i(c) = 4*c**2. Let z be i(1). Suppose -z*u - 1 + 12 = y, 0 = -5*u - 5*y - 5. Suppose 1/3*q**u + 1/3 - 4/3*q**3 + 2*q**2 - 4/3*q = 0. What is q?
1
Let m(a) = 5*a**3 + 5*a - 2. Suppose 0 = 8*t - 3*t + 25. Let h(b) = 6*b**3 + b**2 + 5*b - 2. Let j(n) = t*m(n) + 4*h(n). Factor j(u).
-(u - 2)*(u - 1)**2
Let m(p) be the first derivative of 4*p - 4/3*p**3 - p**4 + 2 + 2*p**2. Factor m(l).
-4*(l - 1)*(l + 1)**2
Let o(i) be the second derivative of -5*i**4/48 - 5*i**3/24 + 6*i - 1. What is j in o(j) = 0?
-1, 0
Let b(n) be the first derivative of 0*n + 1/10*n**2 - 1/25*n**5 + 8 - 1/20*n**4 + 1/15*n**3. Suppose b(x) = 0. Calculate x.
-1, 0, 1
Let z(b) be the first derivative of -b**4 - b**3 + b**2/2 - 3. Factor z(m).
-m*(m + 1)*(4*m - 1)
Factor -4/3*y**4 + 4/3*y**3 + 8/3*y**2 + 0 + 0*y.
-4*y**2*(y - 2)*(y + 1)/3
Let k(u) be the second derivative of u**4/20 - 9*u**3/10 - u. Factor k(m).
3*m*(m - 9)/5
Let n(j) be the second derivative of 8*j**7/21 - 6*j**6/5 + 2*j**5/5 + 8*j**4/3 - 4*j**3 + 2*j**2 - 2*j. Suppose n(i) = 0. Calculate i.
-1, 1/4, 1
Let r(z) = 6*z**2 + 16*z + 16. Let b(v) = -5*v**2 - 16*v - 18. Let t(y) = -4*b(y) - 3*r(y). Factor t(o).
2*(o + 2)*(o + 6)
Let a(u) be the third derivative of -u**9/90720 + u**7/7560 + u**5/30 - u**2. Let o(g) be the third derivative of a(g). Determine r, given that o(r) = 0.
-1, 0, 1
Let s(w) be the third derivative of -w**7/210 - w**6/120 + 5*w**2. Let s(q) = 0. Calculate q.
-1, 0
Let r(m) be the third derivative of m**8/3360 - m**6/360 + m**4/6 + 2*m**2. Let i(k) be the second derivative of r(k). Factor i(s).
2*s*(s - 1)*(s + 1)
Let p be 4/(-45)*6/(-16). Let k(u) be the third derivative of 0*u + 1/300*u**5 + 0 + 2*u**2 + p*u**3 + 1/60*u**4. Find n, given that k(n) = 0.
-1
Factor 1/4*n**4 - 1/4*n**3 + 1/4*n - 1/4*n**2 + 0.
n*(n - 1)**2*(n + 1)/4
Let o(p) be the first derivative of -p**6/18 + p**5/5 - p**4/6 - 2. Factor o(c).
-c**3*(c - 2)*(c - 1)/3
Let m = -9 - -9. Let t(r) be the third derivative of -1/150*r**5 + m*r**4 - 1/525*r**7 - 2*r**2 + 0 - 1/150*r**6 + 0*r + 0*r**3. Factor t(i).
-2*i**2*(i + 1)**2/5
Let g(a) be the first derivative of -a**6/720 + a**4/48 + 2*a**3/3 + 5. Let p(w) be the third derivative of g(w). Factor p(k).
-(k - 1)*(k + 1)/2
Let g = 3 + 5. Suppose -g*l + 14 = -l. Factor 0 + 0*w + 0*w**l + 3/4*w**3.
3*w**3/4
Determine v so that 289/2*v**2 - 17*v**3 + 0*v + 1/2*v**4 + 0 = 0.
0, 17
Let j(l) be the first derivative of -l**6/6 + l**5/5 + l**4/4 - l**3/3 + 2. Let j(d) = 0. Calculate d.
-1, 0, 1
Let f(w) = -w**3 + 2*w**2 + w + 2. Let o be f(2). Determine z so that o*z + 2*z + z**2 - 3*z**2 - 4 = 0.
1, 2
Let i(b) be the first derivative of 1/6*b**4 + 1/12*b**5 + b**3 + 0*b - 1/60*b**6 + 0*b**2 - 3. Let u(g) be the third derivative of i(g). Factor u(o).
-2*(o - 2)*(3*o + 1)
Let a = 874/7 + -13109/105. Let q(k) be the third derivative of a*k**7 + 0*k**3 + 1/60*k**6 - 1/30*k**5 + 0*k + 0 - 1/12*k**4 + k**2. Factor q(r).
2*r*(r - 1)*(r + 1)**2
Let o(i) be the third derivative of -i**7/3360 - i**3/3 + i**2. Let t(n) be the first derivative of o(n). Let t(a) = 0. What is a?
0
Let n(t) be the first derivative of -1 + 1/5*t**2 - 2*t - 2/15*t**3 + 1/30*t**4. Let a(z) be the first derivative of n(z). Solve a(h) = 0.
1
Let o(p) be the second derivative of 1/5*p**3 - p + 0 + 0*p**2 - 1/20*p**4. Let o(m) = 0. What is m?
0, 2
Let m(v) = 2*v + 1. Let p be m(-3). Let a = 7 + p. Factor 0*s + 4/3*s**3 - 2/3 + a*s**2.
2*(s + 1)**2*(2*s - 1)/3
Let c be 2/9*(-684)/(-96). Let p = c + -5/4. Determine b, given that -4/3*b**3 + 1/3*b**2 - p + 4/3*b = 0.
-1, 1/4, 1
Let k be (-38)/(-14) + (-4)/(-14). Factor z**k - 5*z**3 - z**2 - 3*z**2.
-4*z**2*(z + 1)
Let p be (3/(-12))/(6/(-32)). Suppose -n - 11 = -3*m, 8*n = 5*n - 15. Factor p - 4/3*g**3 + 2*g - m*g**2.
-2*(g - 1)*(g + 2)*(2*g + 1)/3
Suppose 0 = 3