q(d) be the third derivative of -7*d**6/600 + d**5/25 + 5*d**4/24 + d**3/5 + 2*d**2. Find t such that q(t) = 0.
-1, -2/7, 3
Let y(n) be the second derivative of n**7/525 - n**6/300 - n**5/150 + n**4/60 + n**2 + 3*n. Let z(d) be the first derivative of y(d). Factor z(f).
2*f*(f - 1)**2*(f + 1)/5
Let j(n) be the second derivative of 2*n**5/15 - n**4/2 + 2*n**3/3 - n**2/3 + 21*n. Factor j(l).
2*(l - 1)**2*(4*l - 1)/3
Let l(s) = s**3 - 12*s**2 - 14*s + 8. Let q be l(13). Let y be (4/30)/((-1)/q). Solve 6*w**2 + 8/3*w**3 + y + 4*w = 0.
-1, -1/4
Let k = -1/194 + 115/3492. Let y(o) be the second derivative of k*o**4 - 1/90*o**6 + 1/60*o**5 + 0 - 1/126*o**7 + 0*o**3 + 0*o**2 + o. Factor y(d).
-d**2*(d - 1)*(d + 1)**2/3
Let l(z) be the first derivative of 0*z + 0*z**3 + 25/3*z**6 + 9/2*z**5 + z**2 - 4 - 59/8*z**4. Let l(v) = 0. Calculate v.
-1, -1/4, 0, 2/5
Factor 0*q**2 + 1/6*q**3 + 0 + 0*q.
q**3/6
Determine y so that 2/5*y**2 + 2/5*y - 4/5 = 0.
-2, 1
Let b(c) be the third derivative of -14*c**7/5 + 161*c**6/30 + 2*c**5 - 6*c**4 - 16*c**3/3 + c**2. Suppose b(f) = 0. Calculate f.
-2/7, 2/3, 1
Let y(l) = 5*l**2. Let x(o) = -4*o**2. Let g be 3 + (2/1 - 3). Suppose 4 = g*d + 10. Let i(r) = d*y(r) - 4*x(r). Factor i(u).
u**2
Let m(i) be the first derivative of -i**8/1680 - i**7/280 - i**6/120 - i**5/120 + 4*i**3/3 - 3. Let b(a) be the third derivative of m(a). Factor b(u).
-u*(u + 1)**3
Let q(c) be the second derivative of -c**7/2100 + c**6/450 - c**5/300 - 2*c**3/3 - 2*c. Let p(r) be the second derivative of q(r). Solve p(w) = 0.
0, 1
Let s = 395 + -2759/7. Factor -2/7*j**2 + s*j - 4/7.
-2*(j - 2)*(j - 1)/7
Let h(m) be the first derivative of m**9/13608 - m**8/3780 + m**7/3780 + 2*m**3 - 8. Let i(c) be the third derivative of h(c). Factor i(j).
2*j**3*(j - 1)**2/9
Let n(k) be the third derivative of k**8/10080 + k**7/840 + k**6/180 - k**5/15 - 5*k**2. Let a(r) be the third derivative of n(r). Factor a(g).
2*(g + 1)*(g + 2)
Let u(d) = 36*d**3 - 6*d**2 - 57*d. Let x(b) = -5*b**3 + b**2 + 8*b. Let s = 19 - 34. Let y(o) = s*x(o) - 2*u(o). Factor y(g).
3*g*(g - 2)*(g + 1)
Suppose -f = -n - 4, -5*f - n + 4 = 2*n. Factor 5*r**2 + 1 + 2 - 2*r**f - 6*r**2.
-3*(r - 1)*(r + 1)
Suppose -4/5 + 2/5*f + 4/5*f**2 - 2/5*f**3 = 0. Calculate f.
-1, 1, 2
Let s(x) be the third derivative of -x**6/60 - 2*x**5/15 - 5*x**4/12 - 2*x**3/3 + 10*x**2. Let s(l) = 0. What is l?
-2, -1
What is n in 0 + 4/5*n**4 - 2/5*n**3 + 0*n + 2/5*n**5 - 4/5*n**2 = 0?
-2, -1, 0, 1
Let i(v) be the second derivative of 3*v**7/14 - 7*v**5/20 - v**3/3 - 5*v. Let u(l) = 5*l**5 - 4*l**3 - l. Let p(h) = 6*i(h) - 11*u(h). Factor p(a).
-a*(a - 1)**2*(a + 1)**2
Let b = 3 - 3. Let f(p) be the second derivative of -1/50*p**5 - 1/10*p**4 + b - 2/15*p**3 + 2*p + 0*p**2. Factor f(w).
-2*w*(w + 1)*(w + 2)/5
Suppose 5*f = -2*u + 20, -4*u + 4*f = 2*f - 16. Factor 0 + 0*v**2 + 0*v**4 + 0*v + 1/6*v**3 - 1/6*v**u.
-v**3*(v - 1)*(v + 1)/6
Let s be (-4)/(-6) - 496/2088. Let o = s + -6/29. Find i, given that o*i**2 - 2/9 + 0*i = 0.
-1, 1
Factor 15*i**3 + 20*i**2 - 39*i**3 + 19*i**3 - 20*i.
-5*i*(i - 2)**2
Let y be (-105)/(-51) - (-6 - -2). Let t = 1605/119 - y. Suppose -4/7 - 4*k**4 - 6/7*k**5 - 22/7*k - t*k**3 - 48/7*k**2 = 0. Calculate k.
-1, -2/3
Let d(s) be the first derivative of -s**4/5 - s**3/15 + 1. Factor d(p).
-p**2*(4*p + 1)/5
Factor -55*w**2 + 41*w**2 + 6*w**4 - 8*w**4 + 6*w + 10*w**3.
-2*w*(w - 3)*(w - 1)**2
Let p(z) be the second derivative of z**5/70 + 2*z**4/21 + 5*z**3/21 + 2*z**2/7 + 19*z. Let p(x) = 0. What is x?
-2, -1
Let k(r) be the first derivative of -2*r**6/21 + 12*r**5/35 - 2*r**4/7 + 2. Let k(j) = 0. Calculate j.
0, 1, 2
Let p(t) be the second derivative of 0 + 2*t + 1/2*t**2 + 0*t**5 + 1/30*t**6 + 0*t**3 - 1/6*t**4. Solve p(d) = 0 for d.
-1, 1
Let z(a) = -a**3 + 12*a**2 - 10*a - 16. Let b be z(11). Let c be (-6)/(((-60)/(-8))/b). Let -2/5*n**c + 2/5*n**3 + 2/5*n**2 - 2/5*n**5 + 0*n + 0 = 0. What is n?
-1, 0, 1
Let b(i) be the first derivative of i**7/2520 + i**6/1080 - i**5/180 + 2*i**3/3 + 3. Let j(t) be the third derivative of b(t). Factor j(u).
u*(u - 1)*(u + 2)/3
Let d(c) be the first derivative of c**6/120 - c**5/40 + c**4/48 + c + 1. Let i(j) be the first derivative of d(j). Factor i(w).
w**2*(w - 1)**2/4
Let -4*t + 114*t**3 - 8*t**2 - 114*t**3 + 4*t**5 + 8*t**4 = 0. Calculate t.
-1, 0, 1
Let r(p) be the third derivative of 0*p**5 + 1/180*p**6 + 3*p**2 + 0*p**4 + 0*p + 0 - 1/630*p**7 + 0*p**3. Factor r(s).
-s**3*(s - 2)/3
Let s be (2 + (-76)/40)*16. Factor -24/5*f + s + 2*f**2.
2*(f - 2)*(5*f - 2)/5
Suppose -3*r + 24 = -0*r. Let g = r - -1. Let -g*q**2 - 2 + q**3 + 13*q + 20*q - 6*q - 25 = 0. Calculate q.
3
Let x(f) be the first derivative of 9*f**5/10 + 15*f**4/16 - 13*f**3/12 - 2*f**2 - f + 11. Find i such that x(i) = 0.
-2/3, -1/2, 1
Let g(z) be the second derivative of -z**6/15 - 7*z**5/10 - 13*z**4/6 + z**3 + 18*z**2 + 23*z. Factor g(r).
-2*(r - 1)*(r + 2)*(r + 3)**2
Let y be (-12 + 3)*(-8)/24. Determine i so that 2/9*i**y + 2/9 - 2/9*i**2 - 2/9*i = 0.
-1, 1
Let v(n) = -n - 2. Let r be v(-8). Find w such that -8*w + w**3 + w + r*w = 0.
-1, 0, 1
Let s = 16 - 5. Suppose 10*j + 4*j**2 + 5*j - s*j = 0. Calculate j.
-1, 0
Let j = 38 - 24. Let y be (-12)/21*j/(-12). Solve 2/3*m**4 + y*m + 2*m**3 + 0 + 2*m**2 = 0 for m.
-1, 0
Suppose 3*g = 5*g. Let s be (-2)/4 + 39/(-10) + 5. Factor -s*h**2 + g*h + 3/5.
-3*(h - 1)*(h + 1)/5
Let a be (-2)/3 + 32/3. Find f such that a*f**2 - 4*f**2 + 4*f + 3*f**2 + 5*f**2 = 0.
-2/7, 0
Let q(g) be the first derivative of 3*g**5/5 - 3*g**4/4 - 3*g**3 + 15*g**2/2 - 6*g - 3. Find x such that q(x) = 0.
-2, 1
Let k(l) = -l - 14. Let x be k(-8). Let q(g) = 4*g**2 - 6*g + 2. Let v(t) = 3*t**2 - 5*t + 2. Let j(m) = x*v(m) + 5*q(m). Solve j(f) = 0.
-1, 1
Let t(b) be the third derivative of -b**8/672 - b**7/70 - 7*b**6/120 - 2*b**5/15 - 3*b**4/16 - b**3/6 + 16*b**2. Factor t(z).
-(z + 1)**4*(z + 2)/2
Let c(y) be the first derivative of 0*y**3 - 4 - 1/6*y**4 + 0*y + 0*y**2 - 1/15*y**5 + 1/18*y**6. Factor c(p).
p**3*(p - 2)*(p + 1)/3
Let m be (-56)/(-12) + -4 + (1 - 1). Factor 2/3*w**2 + m - 4/3*w.
2*(w - 1)**2/3
Let i be -3 - 5/((-10)/63). Let y = i + -28. Suppose 0*d + 1/2*d**2 - y = 0. Calculate d.
-1, 1
Suppose -3 = 5*f + 12. Let z = -1 - f. Suppose -w**z + 2*w**2 - 3*w**2 = 0. Calculate w.
0
Find w, given that 0 + 10/11*w**2 + 6/11*w + 2/11*w**3 - 2/11*w**4 = 0.
-1, 0, 3
Let s(t) be the first derivative of -2/33*t**3 + 0*t + 7 - 3/11*t**2. What is o in s(o) = 0?
-3, 0
Suppose 4*b + 4 = -4*s, 5*s - 3*s - 5*b = 19. Factor -1/2*d**3 - 1/2*d + d**s + 0.
-d*(d - 1)**2/2
Let x(z) = -z**3 - z**2 + 3*z + 3. Let w(m) = -2*m**3 - 2*m**2 + 7*m + 7. Let o(s) = -3*w(s) + 7*x(s). Factor o(q).
-q**2*(q + 1)
Let b be (-23)/(-5) + 4/10. Factor -2 + i**2 + b*i - 3*i**2 - i.
-2*(i - 1)**2
Determine f, given that 2/7*f**4 + 4/7*f**3 + 0*f + 2/7*f**2 + 0 = 0.
-1, 0
Suppose 2*k + 252 = -2*k. Let a be (k/70)/((-2)/10). Factor -27/2 - 27/2*c - 1/2*c**3 - a*c**2.
-(c + 3)**3/2
Let n = -58 + 60. Factor f**n + 0 - 2/3*f - 1/3*f**3.
-f*(f - 2)*(f - 1)/3
Let q be (-12)/(-18) - (-1 - 3)/(-24). Solve q*v - 1/4*v**2 + 1/4 - 1/2*v**3 = 0 for v.
-1, -1/2, 1
Let t(h) be the second derivative of h**4/6 + 5*h**3/3 + 4*h**2 + 39*h. Factor t(i).
2*(i + 1)*(i + 4)
Let w(j) be the first derivative of 2*j**3/15 + 22*j**2/5 + 242*j/5 + 26. Factor w(s).
2*(s + 11)**2/5
Let a(o) = -o**4 - o**3 + o**2 + o + 1. Let m be (-6)/4 - 35/(-10). Let v(s) = 1. Let z(w) = m*a(w) - 2*v(w). Factor z(r).
-2*r*(r - 1)*(r + 1)**2
Factor 2/11*i**2 + 6/11*i + 4/11.
2*(i + 1)*(i + 2)/11
Let n(u) = -2*u**2 + 19*u + 35. Let q(h) = h**2 + 1. Let b(w) = -n(w) - 6*q(w). Let a(z) = 4*z**2 + 18*z + 42. Let v(m) = 5*a(m) + 6*b(m). Factor v(d).
-4*(d + 3)**2
Determine f, given that 0 + 5/2*f**2 - 5/4*f = 0.
0, 1/2
Let s be (-2)/6 + (-60)/(-18). What is b in -9*b**2 + 3 - s + 3*b = 0?
0, 1/3
Let k be (9/(-15))/((-2)/10). Solve -i**5 + 2*i - 4*i**k + 2*i**5 + i**5 = 0 for i.
-1, 0, 1
Let i(w) be the second derivative of -w**4/4 + 2*w**3 - 6*w**2 - 8*w. Find a, given that i(a) = 0.
2
Let v(z) be the second derivative of -z**4/6 + z**2 - 13*z. Determine f so that v(f) = 0.
-1, 1
Let v = 70 - 35. Suppose v = 8*s - s. Suppose 4/5*q**4 + 4/5