d derivative of -1/6*v**4 - 1/15*v**6 + 0*v**3 + 0 - 2*v + 0*v**2 - 1/5*v**b. Determine t so that y(t) = 0.
-1, 0
Factor 0 - 2/3*j**3 + 0*j + 4/3*j**4 + 0*j**2 - 2/3*j**5.
-2*j**3*(j - 1)**2/3
Factor 5*t**2 - 3*t**3 + 229*t - 2*t**3 - 229*t.
-5*t**2*(t - 1)
Let u = 10 - 16. Let i be (-2)/u*(1 + 8). Factor 2*j**4 - 2*j**3 + 3*j + 0*j**i - 2*j**2 + 3*j - 4*j.
2*j*(j - 1)**2*(j + 1)
Let j = 458/35 + -64/5. Let h be (-11)/154*(-5 - -1). What is t in 0 + 0*t - j*t**2 - h*t**3 = 0?
-1, 0
Let d be (-2)/(27/21 - 1). Let m = d + 7. Find z, given that 0*z - 3*z**3 - 2/3*z**2 - 7/3*z**4 + m = 0.
-1, -2/7, 0
Let n(f) be the third derivative of f**7/8820 - f**6/2520 - f**5/210 - f**4/24 + 5*f**2. Let a(v) be the second derivative of n(v). Suppose a(s) = 0. What is s?
-1, 2
Let s = 1072/3 - 357. Find h such that -1/6*h + 1/2*h**4 - 5/6*h**2 + 1/6*h**3 + s = 0.
-1, 2/3, 1
Let n(u) be the first derivative of 3*u**6/5 + 3*u**5/10 - 5*u**4/6 + u**3/3 + 4*u + 3. Let g(i) be the first derivative of n(i). Let g(q) = 0. Calculate q.
-1, 0, 1/3
Let b(i) be the first derivative of -i**5/60 + i**2 - 3. Let o(x) be the second derivative of b(x). Factor o(f).
-f**2
Let x(b) be the third derivative of b**9/52920 - b**8/23520 - b**7/17640 - b**5/30 + 2*b**2. Let k(i) be the third derivative of x(i). What is d in k(d) = 0?
-1/4, 0, 1
What is d in 183 + 62 - 36*d - 60*d + 5*d**2 + 26*d = 0?
7
Let n = 2/539 - 2081/539. Let i = -33/14 - n. Factor i*m**4 - 2*m**2 - m**3 + m + 1/2.
(m - 1)**2*(m + 1)*(3*m + 1)/2
Let s(w) = w**2 - 2. Let v(o) = o. Suppose -3*m - 4 = 2*k, 2*m - 2*k - 7 = 7. Let x(j) = m*s(j) - 2*v(j). Let x(l) = 0. What is l?
-1, 2
Let y(r) be the second derivative of -r**8/1680 + r**7/420 - r**6/360 + r**3/6 + r. Let p(g) be the second derivative of y(g). Solve p(j) = 0.
0, 1
Let t(m) be the second derivative of 1/6*m**4 + 0*m**2 + 0 - m - 4/3*m**3. Solve t(p) = 0.
0, 4
Let w be (-33)/(-6) - 4/(-8). Let s = -4 + w. Factor -4/7*q**s - 2/7 - 4/7*q**3 + 6/7*q + 6/7*q**4 - 2/7*q**5.
-2*(q - 1)**4*(q + 1)/7
Suppose -o + 0*o = o. Let p(s) be the second derivative of -1/6*s**4 - 2*s + 2/3*s**3 + 0*s**2 + o. Solve p(v) = 0.
0, 2
Factor 3*o**2 + 5*o - 4*o + o + o**2 - 2*o**3 - 4.
-2*(o - 2)*(o - 1)*(o + 1)
Let x(p) = 3*p**3 - 3*p**3 + 1 + p**3 - p**4 - p**2. Let t(c) = 16*c**4 - 2*c**3 + 12*c**2 - 10. Let j(a) = -t(a) - 10*x(a). Find b such that j(b) = 0.
-1, -1/3, 0
Let y(q) be the first derivative of 2*q**6 - 8*q**5 + 3*q**4 + 16*q**3 - 8*q**2 + 1. Suppose y(w) = 0. What is w?
-1, 0, 1/3, 2
Let f(t) = 10*t**5 + 45*t**4 + 18*t**3 - 17. Let m(c) = -3*c**5 - 15*c**4 - 6*c**3 + 6. Let s(y) = -6*f(y) - 17*m(y). Factor s(d).
-3*d**3*(d + 1)*(3*d + 2)
Suppose z = -4*g + 3*z + 10, 2*g - 14 = -2*z. Suppose p = -g*p. Factor p + 4/9*a + 2/9*a**2.
2*a*(a + 2)/9
Let s be (-12)/(-3 - -6) + (1 - -5). Let w(d) be the first derivative of -d**3 - 1/2*d**s + 2*d - 3. Let w(z) = 0. Calculate z.
-1, 2/3
Let l(y) = y**2 + 7*y - 3. Let h be l(-8). Let z(d) be the third derivative of d**2 + 0*d**3 - 1/48*d**4 + 0*d + 0 + 7/240*d**h. Solve z(q) = 0.
0, 2/7
Let z(l) = 32*l + 3. Let a be z(0). Factor -1/4*j**a + 0 + 0*j - 1/4*j**2.
-j**2*(j + 1)/4
Solve -2*c - 8*c**2 + 6*c**2 + 2*c = 0.
0
Let r(i) be the second derivative of -i**4/30 + 6*i**3/5 - 81*i**2/5 + 8*i. What is b in r(b) = 0?
9
Let m(g) = -g**3 + 1. Suppose 12 = -7*j + j. Let u(o) = 2*o**4 - 8*o**2 - 8*o + 2. Let y(p) = j*u(p) + 4*m(p). Let y(z) = 0. Calculate z.
-2, -1, 0, 2
Let t(a) be the first derivative of 0*a**3 + 3/5*a - 3/10*a**4 + 3/5*a**2 - 3/25*a**5 + 3. Factor t(q).
-3*(q - 1)*(q + 1)**3/5
Let t(o) = -38*o - 1. Let n be t(5). Let z = n - -1341/7. Solve 2/7*q**4 + 2/7*q + 2/7 - 4/7*q**3 + 2/7*q**5 - z*q**2 = 0 for q.
-1, 1
Let d(b) = -b + 2. Let m be d(7). Let f be (2/5)/(m/(-10)). Suppose 4/5*r + 1/5 + f*r**5 - 2/5*r**2 + 1/5*r**4 - 8/5*r**3 = 0. Calculate r.
-1, -1/4, 1
Suppose -4*g + 40 = 40. Factor -3/4*x**2 + g - 1/4*x - 3/4*x**3 - 1/4*x**4.
-x*(x + 1)**3/4
Let t be 80/35 - 2/7. Factor 2*p**2 - 3*p**t - 3*p - 6*p**3 + 7*p**2 + 3*p**3.
-3*p*(p - 1)**2
Let h(j) = -j - 3*j - 10 - 2*j + 5*j. Let n be h(-10). Let n*o + 1/3 - 1/3*o**2 = 0. Calculate o.
-1, 1
Let p be (-2)/1 + (-7)/((-14)/10). Determine b so that -2*b + 0*b**2 + 2/3*b**p + 4/3 = 0.
-2, 1
Let h(d) be the second derivative of d**6/30 - d**5/5 + 5*d**4/12 - d**3/3 - 25*d. Factor h(m).
m*(m - 2)*(m - 1)**2
Suppose -16*s = -4*u - 15*s + 13, 0 = -3*u + 2*s + 6. Find i such that -2/9*i**u + 0*i + 2/9*i**5 + 0 - 2/9*i**3 + 2/9*i**2 = 0.
-1, 0, 1
Let l = 5 + -2. What is u in 6*u + 3*u**2 - 2 + l*u + 0*u - 21*u**3 - 1 + 12*u**5 = 0?
-1, 1/2, 1
Let a(b) be the first derivative of b**5/25 + b**4/2 + 5*b**3/3 + 3. Factor a(m).
m**2*(m + 5)**2/5
Let w(h) be the second derivative of h**6/105 - h**4/42 + h. Factor w(f).
2*f**2*(f - 1)*(f + 1)/7
Suppose 4*c + 1175 - 79 = 3*n, -4*n + 1458 = -2*c. Let r be 264/n - (-12)/(-78). Factor -r*d + 0 + 2/7*d**3 + 2/7*d**2.
2*d*(d - 1)*(d + 2)/7
Let z = -431 - -434. Determine s so that 4/7*s**4 - 20/7*s + 6*s**2 - 8/7 - 23/7*s**z = 0.
-1/4, 2
Let m(n) be the third derivative of n**8/28 - 2*n**7/21 - n**6/15 + 2*n**5/5 - n**4/6 - 2*n**3/3 - 12*n**2. Let m(l) = 0. Calculate l.
-1, -1/3, 1
Let v(r) = -3*r + r + 0*r**2 + 5*r + r**2. Let c(l) = -2*l**2 - 7*l - 1. Let x(y) = -2*c(y) - 5*v(y). Factor x(w).
-(w - 1)*(w + 2)
Suppose 0 = 2*p + 12*v - 10*v + 6, 2*p = 5*v + 15. Factor 2/7*t**3 + p*t + 0*t**2 + 0.
2*t**3/7
Factor -2/11*z**5 + 8/11*z**2 - 16/11*z**3 + 0*z + 10/11*z**4 + 0.
-2*z**2*(z - 2)**2*(z - 1)/11
Let t = 73 + -71. Let u(z) be the second derivative of -1/63*z**7 + 0*z**2 + 0*z**4 + 0*z**3 - t*z - 1/45*z**5 - 1/27*z**6 + 0. Factor u(h).
-2*h**3*(h + 1)*(3*h + 2)/9
Let h(v) be the second derivative of -1/33*v**3 - 1/33*v**4 - 1/110*v**5 + 0*v**2 + 7*v + 0. Solve h(r) = 0 for r.
-1, 0
Let 0*f**2 + 0*f + 0 - 2/5*f**3 + 2/5*f**4 = 0. Calculate f.
0, 1
Let q(g) be the first derivative of 2/3*g**3 + 0*g**2 - 1/2*g**4 + 0*g - 7. Solve q(w) = 0.
0, 1
Let t(w) be the first derivative of 3*w**5/5 - 3*w**4/4 - 3*w**3 + 15*w**2/2 - 6*w + 7. Determine g so that t(g) = 0.
-2, 1
What is p in -2/5*p + 6/5*p**2 + 2/5*p**4 - 6/5*p**3 + 0 = 0?
0, 1
Let m(r) = r**3 + 17*r**2 + 0*r**3 + 1 + 1 - 18*r + 1. Let y be m(-18). Suppose 2*a - 8/5*a**2 - 4/5 + 2/5*a**y = 0. What is a?
1, 2
Let l(z) be the first derivative of -5*z**3/3 - 5*z**2/2 + 10*z - 16. Suppose l(q) = 0. Calculate q.
-2, 1
Let p be 80/15*3/2. Suppose -p = -5*a + 2. Factor 0*r**a - 18*r**2 + 24*r + 3*r**2 - 12 + 3*r**3.
3*(r - 2)**2*(r - 1)
Factor 4*s + 14*s + 12*s**3 + 39*s**2 + 6 + 15*s.
3*(s + 1)*(s + 2)*(4*s + 1)
Let f(i) be the first derivative of i**4/11 + 10*i**3/33 + 4*i**2/11 + 2*i/11 - 29. Solve f(k) = 0 for k.
-1, -1/2
Let r(u) be the third derivative of -u**7/1050 - u**6/300 + u**5/100 + u**4/30 - 2*u**3/15 + 3*u**2. Determine m so that r(m) = 0.
-2, 1
Suppose 0 = -3*d + 4*p + 4, -2*p - 4 = -d + 2*p. Factor d*a - 1/6*a**2 + 1/6.
-(a - 1)*(a + 1)/6
Solve -21/2*t**2 - 3*t**3 - 9/4*t + 21/4*t**5 + 9*t**4 + 3/2 = 0.
-1, 2/7, 1
Let t = 89/185 - 3/37. Let a(b) be the first derivative of 1/10*b**4 + 3/5*b**2 + 2 + 2/5*b**3 + t*b. Factor a(n).
2*(n + 1)**3/5
Let t be (-4)/((4/(-3))/2). Let x = -6 + 10. Factor 2*g**4 + t*g**3 - 2*g**2 + 2*g - 4*g - x*g**3.
2*g*(g - 1)*(g + 1)**2
Factor 47*g - 4*g**2 - 47*g + 3*g**2 + 1.
-(g - 1)*(g + 1)
Let r be (64/12)/((-1)/(-3)). Suppose 3*j + r = 22. Determine a, given that -3/4*a**3 + 0*a + 0 - 3/4*a**4 + 0*a**j = 0.
-1, 0
Determine s so that 3*s**4 + 50*s**3 - 65*s**3 + 20*s + 2*s**4 = 0.
-1, 0, 2
Let n(b) = 5*b**2 + 6*b - 1. Let d(y) = y**2 + y - 1. Let m(o) = -4*d(o) + n(o). Let j be m(-2). Factor -x - x**2 - x + j*x**2.
2*x*(x - 1)
Suppose 0 = -u + s - 2, 0*s = -3*u + 4*s - 10. Suppose 2*j - 10*j + j + u - 6*j + 21*j**2 = 0. Calculate j.
2/7, 1/3
Let n = -993/5 - -199. Factor n - 2/5*g**2 + 0*g.
-2*(g - 1)*(g + 1)/5
Let 791*v + v**2 - 779*v + 36 + 0*v**2 = 0. What is v?
-6
Suppose -6*v = -7*v + 3. Suppose -3*x - 4*c = -v*c - 2, -8 = 2*c. Factor -1/2*n**5 + 0*n**x + 0 - 1/2*n + 0*n**4 + n**3.
-n*(n - 1)**2*(n + 1)**2/2
Let r(j) = 13*j**4 + 14*j**3 - 3*j**2 - 17*j - 7. Let s(n) = 64*n**4 + 70*n**3 - 16*n**2 - 84*n - 34. Let b(l) = -14*r(l) +