late c.
-1, 0
Let f = -12 + -13. Let i be ((-10)/(-14))/(f/(-30)). What is v in 4/7 + 2/7*v**2 - i*v = 0?
1, 2
Let s(m) be the second derivative of 4/3*m**3 + 0 + 9*m + 0*m**2 + 6/5*m**5 - 7/3*m**4. Solve s(q) = 0 for q.
0, 1/2, 2/3
Let j(x) be the second derivative of 15*x + 1/72*x**4 + 1/3*x**2 + 5/36*x**3 + 0. Determine l, given that j(l) = 0.
-4, -1
Let a = -5/56 + 11/392. Let n = a + 55/98. Factor -n - 1/2*u + u**2.
(u - 1)*(2*u + 1)/2
Let o(j) be the second derivative of 3/4*j**3 - 3/20*j**5 + 17*j + 0 + 3/4*j**2 - 3/20*j**6 + 1/4*j**4 - 1/28*j**7. Solve o(b) = 0 for b.
-1, 1
Find p, given that 58/5*p**2 + 2/5*p**4 - 32/5*p**3 - 28/5*p + 0 = 0.
0, 1, 14
Let s(k) be the second derivative of -2*k**4 - 14*k**3/3 + 287*k. Let s(r) = 0. Calculate r.
-7/6, 0
Let s(d) = -d**3 - d**2 - 21*d - 21. Suppose h + 4 = 9. Let n(c) = -2*c**3 - 2*c**2 - 32*c - 32. Let r(i) = h*n(i) - 8*s(i). Factor r(y).
-2*(y - 2)*(y + 1)*(y + 2)
Let n(i) be the second derivative of -i**4/36 + 98*i**3/9 - 4802*i**2/3 + 143*i. Factor n(x).
-(x - 98)**2/3
Let c(x) = -5*x + 4*x**5 + 8*x**5 + 5 - 14*x**5 - 8*x**4 - x**3. Let r(w) = w**5 + w**4 - w**3 + w - 1. Let d(j) = c(j) + 5*r(j). Factor d(k).
3*k**3*(k - 2)*(k + 1)
Let q(k) be the first derivative of 1/12*k**2 - 13 + 1/9*k**3 + 1/24*k**4 + 0*k. Let q(r) = 0. What is r?
-1, 0
Let y(p) be the third derivative of p**5/12 + 25*p**4/24 + 10*p**3/3 + p**2 + 104. Factor y(t).
5*(t + 1)*(t + 4)
Let z(x) be the third derivative of -1/2016*x**8 - 1/360*x**6 + 0*x**5 - 3*x**2 + 0*x**4 + 0*x + 0 + 1/420*x**7 + 0*x**3. Factor z(n).
-n**3*(n - 2)*(n - 1)/6
Factor l**4 + 45*l + 8*l**2 + l**4 - 5*l**3 - 20*l - 3*l**4 - 13*l.
-l*(l - 2)*(l + 1)*(l + 6)
Let n be (-2)/(-4) - (18 - (-2504)/(-144) - 1). Suppose 2/9*v**2 + n - 8/9*v = 0. What is v?
2
Let p(u) be the second derivative of -1/6*u**3 - 8*u - 1/3*u**2 - 1/36*u**4 + 0. Find r, given that p(r) = 0.
-2, -1
Let u(b) = 32*b**3 + 54*b**2 + 136*b - 180. Let k(f) = -7*f**3 - 11*f**2 - 27*f + 36. Let m(j) = 28*k(j) + 6*u(j). Suppose m(t) = 0. What is t?
-3, 1, 6
Determine k, given that -6/5*k**2 - 52/5*k - 32/5 = 0.
-8, -2/3
Let y(g) be the third derivative of 2*g**7/105 - g**6/5 - 4*g**5/15 + 4*g**4 + 576*g**2. What is c in y(c) = 0?
-2, 0, 2, 6
Let s(i) be the second derivative of -i**5/110 - 17*i**4/33 + 35*i**3/33 + 82*i. Suppose s(b) = 0. Calculate b.
-35, 0, 1
Suppose -3*a = o + 7, 0 = -3*o - 3*a + a. Suppose o*i - 5*i = 0. Find t such that -3/2*t**4 - 24 + 0*t**3 + 12*t**2 + i*t = 0.
-2, 2
Let m(k) = -k**2 + 17*k + 26. Let y be m(18). Let p be y/(-20) - 2/(-5). Find w, given that 1/3*w**3 - 1/6*w**5 + 0*w**2 + p*w**4 + 0 - 1/6*w = 0.
-1, 0, 1
Let a(t) be the first derivative of -5*t**7/21 - 2*t**6/15 + t**5/2 + t**4/3 + 4*t - 12. Let k(q) be the first derivative of a(q). Suppose k(g) = 0. What is g?
-1, -2/5, 0, 1
Find j such that -7*j**2 + 20 - 10 + 2*j**2 - 5*j = 0.
-2, 1
Let r(q) = 7*q - 28. Let m be r(4). Let l(z) be the first derivative of m*z - 8/3*z**3 - z**2 + 6. Determine i, given that l(i) = 0.
-1/4, 0
Let v(z) = -4*z**5 + z**4 - 2*z**3 - z**2. Suppose -4*m = -5*f - 1, m - f = 3*f - 8. Let k(d) = d**5 + d**3. Let b(x) = m*v(x) + 12*k(x). Factor b(u).
-4*u**2*(u - 1)**2*(u + 1)
Suppose 23 = f + 2*i + 19, -5*i = 5*f - 10. Let o = -1/24 + 3/8. Find x such that -1/3*x**2 + f - o*x = 0.
-1, 0
Factor -12 - 30*g - 15 + 3*g**2 - 46 + 40.
3*(g - 11)*(g + 1)
Let v = 939 - 928. Let l(j) be the third derivative of -2/21*j**4 - 1/105*j**6 + 0 - 2/21*j**3 + 0*j - 1/21*j**5 + v*j**2. Factor l(s).
-4*(s + 1)**2*(2*s + 1)/7
Suppose 2*c = 5*o + 8, -4*o + 16 = 4*c - o. Let q(w) be the first derivative of -2/3*w**2 + 0*w + 2/15*w**5 + 10/9*w**3 - 8 - 2/3*w**c. Factor q(h).
2*h*(h - 2)*(h - 1)**2/3
Suppose 1920 + 3*k**2 - 7594*k + 126627 + 3044*k + 3308*k = 0. Calculate k.
207
Let c be 716*(1/(-4))/(-1). Let q = c - 177. Factor -4/9*u**q - 2/9*u**3 - 2/9*u + 0.
-2*u*(u + 1)**2/9
Let j(s) be the first derivative of s**3/4 + 9*s**2/8 + 3*s/2 + 303. Let j(d) = 0. Calculate d.
-2, -1
Let h be 8 - 0 - 8/((-6)/(-3)). Let i(b) be the second derivative of 0 - 1/14*b**2 + 1/84*b**h + 5*b + 1/14*b**3 - 3/140*b**5. Suppose i(z) = 0. Calculate z.
-1, 1/3, 1
Let c(f) be the first derivative of f**4/48 + f**3/12 - 3*f**2/8 - 13*f + 5. Let l(b) be the first derivative of c(b). Factor l(k).
(k - 1)*(k + 3)/4
Let i = -15629/4 - -3908. Find u such that 3*u**2 - 9/4*u - i*u**3 + 0 = 0.
0, 1, 3
Let -42*u**2 + 2*u**3 - 119*u - 84*u - 37*u - 200 - 4*u**3 = 0. Calculate u.
-10, -1
Factor 240/7*t + 240/7*t**2 + 120/7*t**3 + 96/7 + 30/7*t**4 + 3/7*t**5.
3*(t + 2)**5/7
Suppose m + 19 = -3*j, -2*j + 0*m - 3*m = 8. Let h(p) = p**2 + 8*p + 10. Let o be h(j). Factor 8*v**o + 3*v**3 + 3*v**4 - v**3 - 4*v**3.
3*v**3*(v + 2)
Let i = 15 + -15. Suppose 4*n = 4*j - 36, -3*j + 3*n = n - 24. Determine v, given that j*v**2 - 2*v - 9/2*v**3 + i = 0.
0, 2/3
Suppose 2*w - 4*q = -6, 3*q - 10 - 2 = 3*w. Let j be (-2 + w/(-15))*2/(-5). Determine l, given that 0*l**2 - j*l + 0 + 2/3*l**3 = 0.
-1, 0, 1
Let p(x) be the third derivative of x**7/840 - x**6/40 + 17*x**5/80 - 11*x**4/12 + 2*x**3 + 118*x**2. Factor p(w).
(w - 4)**2*(w - 3)*(w - 1)/4
Let b(n) = -4*n**2 - 30*n - 54. Let v be b(-3). Determine s so that 0 - 2/11*s**3 + 2/11*s + v*s**2 = 0.
-1, 0, 1
Let q(z) be the second derivative of z**5/20 + z**4/3 + z**3/2 + 815*z. Factor q(f).
f*(f + 1)*(f + 3)
Factor 1/4*a**3 - 9/2*a + 1/4*a**5 + 0 - 5/4*a**4 + 21/4*a**2.
a*(a - 3)**2*(a - 1)*(a + 2)/4
Let i(u) be the third derivative of -3/64*u**4 + 0 - 1/16*u**5 - 3/320*u**6 + 0*u + 0*u**3 - 7*u**2. Determine n so that i(n) = 0.
-3, -1/3, 0
Let f be 6/2 + -1 + -2. Let z be 7/2*24/14. Let 0*t**3 - 10*t**2 - 2*t - z*t**3 + 2 + f*t**2 = 0. What is t?
-1, 1/3
Let s be -5*2/(-2)*16/((-80)/(-3)). Factor 0*j**2 + 0 - 1/7*j**4 + 3/7*j**s - 4/7*j.
-j*(j - 2)**2*(j + 1)/7
Let j = 111063/17 + -6533. Factor -2/17*a + 12/17 - j*a**2.
-2*(a - 2)*(a + 3)/17
Let q(k) be the third derivative of -k**5/100 - 17*k**4/120 - k**3/3 - 2*k**2 - 13. Solve q(n) = 0 for n.
-5, -2/3
Let n be (-15 + 16)/((-1)/(-4)). Let f(g) be the second derivative of n*g - 1/2*g**2 - 3/4*g**3 + 0 - 7/24*g**4. Solve f(i) = 0.
-1, -2/7
Let r(c) = -c**2 + 12*c + 13. Let j be r(13). Let x(m) be the first derivative of j*m + 0*m**2 - 2/15*m**5 + 2/9*m**3 - 1 + 0*m**4. What is a in x(a) = 0?
-1, 0, 1
Determine r, given that 1436*r**2 - 12*r - 1440*r**2 - 120 + 80*r = 0.
2, 15
Let d be 2/7 - (-130)/35. Suppose 5*q + 3*f = 30, -4*f = -d*q - 5*f + 17. Factor -4 + 12 - 32*p - 4*p**q + 20*p**2 + 8.
-4*(p - 2)**2*(p - 1)
Suppose -23*r - 74 = -120. Let z(s) be the third derivative of 0*s + s**3 - 1/20*s**5 + 1/8*s**4 + 0 + 6*s**r. Factor z(u).
-3*(u - 2)*(u + 1)
Let q(w) be the second derivative of w**5/170 + w**4/34 + 214*w. Solve q(v) = 0.
-3, 0
Let f(c) be the first derivative of 10*c**6/3 - 23*c**5 + 115*c**4/4 + 370*c**3/3 - 390*c**2 + 360*c - 449. Suppose f(b) = 0. Calculate b.
-2, 3/4, 2, 3
Suppose -587*v = -579*v - 24. Let p(g) be the third derivative of -14*g**2 + 0 + 1/8*g**4 + 1/60*g**5 + 0*g**v + 0*g. Factor p(l).
l*(l + 3)
Let c = -111 - -99. Let b be (-52)/c + 0 + -3. Factor 0*z + b - 4/3*z**2.
-4*(z - 1)*(z + 1)/3
Let l = 235 - 125. Let f = 110 - l. Factor f - 4/7*m - 6/7*m**3 + 10/7*m**2 - 2/7*m**4 + 2/7*m**5.
2*m*(m - 1)**3*(m + 2)/7
Suppose 5*n - 6*n + 3 = 0. Let l be (0 - -2)*n/3. Factor 0 - 6/5*q**4 - 2*q**l - 14/5*q**3 - 2/5*q.
-2*q*(q + 1)**2*(3*q + 1)/5
Let p = -12/1735 + 3554/12145. Solve 2/7*w**3 - 2/7*w - 2/7*w**2 + p = 0.
-1, 1
Let m(g) be the first derivative of 1 - 2/9*g**2 + 2/27*g**3 + 0*g. Factor m(t).
2*t*(t - 2)/9
Let p(v) be the third derivative of v**8/2240 + v**7/315 + v**6/240 - v**5/60 - v**4/8 - 2*v**2. Let a(h) be the second derivative of p(h). Factor a(n).
(n + 1)*(n + 2)*(3*n - 1)
Suppose 16*a - 6 = 18*a. Let p be ((-32)/48)/(1/a) - 0. Find n such that -2/3*n**3 - 10/3*n + 4/3 + 8/3*n**p = 0.
1, 2
Let b(h) be the first derivative of h**7/14 - 3*h**5/10 + h**3/2 + 45*h + 48. Let f(z) be the first derivative of b(z). Suppose f(c) = 0. Calculate c.
-1, 0, 1
Factor 192*t**2 + 7100*t + 40328/3 + 4/3*t**3.
4*(t + 2)*(t + 71)**2/3
Let -2/11*i**2 + 16/11 + 4/11*i = 0. What is i?
-2, 4
Let p(g) be the third