*f**l - 48/7*f - 6/7*f**2 = 0. What is f?
-2, 7
Let r(f) be the second derivative of -2*f**7/21 + 38*f**6/5 - 234*f**5 + 3150*f**4 - 6750*f**3 - 303750*f**2 + 2052*f. Factor r(v).
-4*(v - 15)**4*(v + 3)
Let d(h) be the second derivative of -1/21*h**4 + 11*h - 4 - 56*h**2 + 8/3*h**3. Let d(n) = 0. What is n?
14
Suppose 48*t = 45*t + 156. Let s = t + -50. Let -5*n**4 + 4*n**4 - 2*n**5 + n**5 + 6*n**s - 8*n**3 - 5*n**4 + 9*n = 0. Calculate n.
-3, -1, 0, 1
Factor 55/9*u**2 + 0 - 98/3*u - 1/9*u**3.
-u*(u - 49)*(u - 6)/9
Let k(r) be the third derivative of r**7/350 - 93*r**6/200 + 18*r**5/5 - 89*r**4/10 + 3*r**2 + 203*r - 1. Let k(a) = 0. Calculate a.
0, 2, 89
Let c(p) = 49*p - 132. Let j be c(3). Suppose 0 = m + j*m - 17*m. Factor -2/3*q**2 - 4/9*q**3 + 2/9*q**4 + 0*q + m.
2*q**2*(q - 3)*(q + 1)/9
Let h be (-2)/(-9) + (-5 - (-1398)/27). Let m = -233/5 + h. Factor -1/5*j**2 - m*j + 3/5.
-(j - 1)*(j + 3)/5
Let o(a) = -a**3 - 56*a**2 - 12*a + 6. Let y(r) = r**2 + 7*r - 4*r**3 - 1 - 2*r - 3*r + 5*r**3. Let u(n) = -o(n) - 6*y(n). Factor u(m).
-5*m**2*(m - 10)
Let f(z) be the second derivative of -z**6/165 + z**4/22 + 2*z**3/33 + 595*z. Factor f(a).
-2*a*(a - 2)*(a + 1)**2/11
Let y(s) = s**2 - s. Let d(o) = -o**5 - 4*o**4 + 6*o**3 + 28*o**2 + 35*o. Suppose -8*x = 5*x + 39. Let i(b) = x*d(b) - 24*y(b). Solve i(f) = 0 for f.
-3, -1, 0, 3
Let b(y) be the second derivative of y**6/630 + y**5/35 + 4*y**4/21 + y**3/3 - 3*y**2 - 92*y. Let l(g) be the second derivative of b(g). Factor l(k).
4*(k + 2)*(k + 4)/7
Let r(l) = -17*l**2 + 848*l - 89893. Let s(t) = -14*t**2 + 848*t - 89892. Let x(z) = 4*r(z) - 5*s(z). Factor x(q).
2*(q - 212)**2
Let n(r) be the third derivative of r**6/24 + r**5/12 - 95*r**4/8 + 225*r**3/2 - 3*r**2 - 43*r - 4. Factor n(i).
5*(i - 5)*(i - 3)*(i + 9)
Let t be 1*(-7)/(-35) - (-3074)/5. Let r be 246/t*(6/4 + 0). Factor -1/5*h**4 - 2/5*h**3 + 4/5*h**2 + 2/5*h - r.
-(h - 1)**2*(h + 1)*(h + 3)/5
Let h(u) be the second derivative of -u**5/2 - u**4/12 + 16*u**3/3 - 6*u**2 - 43*u - 21. Factor h(d).
-(d + 2)*(2*d - 3)*(5*d - 2)
Let p(l) be the second derivative of l**8/5040 - l**6/540 + 31*l**4/4 - l - 20. Let d(s) be the third derivative of p(s). Factor d(v).
4*v*(v - 1)*(v + 1)/3
Suppose 30*t + 64*t = 188. Let o(s) be the third derivative of 0*s + 0 - 21*s**t + 4/21*s**3 - 1/7*s**4 - 1/70*s**6 + 1/735*s**7 + 13/210*s**5. Factor o(d).
2*(d - 2)**2*(d - 1)**2/7
Let m be (6 + 9/(-3))/(-3). Let l(h) = 12*h**2 + 33*h - 39. Let o(b) = 4 - b**2 - 3*b + 0*b - 3 + 2*b. Let v(p) = m*l(p) - 15*o(p). Factor v(n).
3*(n - 4)*(n - 2)
Let g be 2/(-9 + (-76)/(-8)). Factor -1971*s + 2155*s + 2790 + g*s**2 - 674.
4*(s + 23)**2
Suppose -24*a = -31*a + 28. Let -4*b**4 - 3*b**5 - 2*b + 4*b**4 + 2*b - 3*b**3 + 6*b**a = 0. Calculate b.
0, 1
Let t(r) = 2*r**3 + 42*r**2 - 60*r + 36. Let y(l) = 5*l**3 + 88*l**2 - 119*l + 71. Let a(k) = -k + 17. Let w be a(26). Let i(c) = w*t(c) + 4*y(c). Factor i(n).
2*(n - 10)*(n - 2)*(n - 1)
Let i(j) = -j**2 + j - 1. Let s(c) = 98 + 0*c**2 - 10*c**2 - 110 + 12*c. Let b(z) = -12*i(z) + s(z). Factor b(w).
2*w**2
Let a(w) = w**4 - w**2 + 1. Let m(g) = 25*g**4 + 25*g**3 - 45*g**2 - 45*g + 30. Let p = 108 - 78. Let l(u) = p*a(u) - m(u). Factor l(j).
5*j*(j - 3)**2*(j + 1)
Let q(f) = -2200*f + 46200. Let j be q(21). Factor 7*x**3 + j*x + 49/4*x**2 + x**4 + 0.
x**2*(2*x + 7)**2/4
Let u(s) = 25*s**3 - 440*s**2 - 2839*s - 4375. Let t(h) = 3*h**3 - 55*h**2 - 355*h - 547. Let y(g) = 51*t(g) - 6*u(g). Determine n so that y(n) = 0.
-3, 61
Let a be (22/(-14) - (1 + -3 + 1))*(1050 - 1051). Let t = -296 - -2078/7. Factor -t*i + 2/7*i**5 + 6/7*i**4 - 2/7 - a*i**2 + 4/7*i**3.
2*(i - 1)*(i + 1)**4/7
Let w = -654 - -3911/6. Let f = -53/30 - w. Factor 0*n - f*n**2 + 2/5.
-2*(n - 1)*(n + 1)/5
Let d be 56/26 - (-42 - 11508/(-273)). Let w(a) = -a**2 + 8*a - 7. Let o be w(7). Suppose -1/6*n**3 + n**d + o - 5/6*n = 0. What is n?
0, 1, 5
Let n = -337 + 339. Solve 64*y**2 + 724*y**3 + 720*y**4 - 362*y**n - 780*y - 128 - 100*y**5 - 294*y**2 + 156*y = 0 for y.
-1, -2/5, 1, 8
Let a(y) be the first derivative of -896*y**3/3 - 48*y**2 - 18*y/7 + 475. Suppose a(r) = 0. What is r?
-3/56
Let d(t) be the first derivative of t**3/9 - 77*t**2/6 - 196*t - 8365. Determine q, given that d(q) = 0.
-7, 84
Let f(v) be the second derivative of -v**6/10 + 867*v**5/5 - 167619*v**4/2 + 333506*v**3 - 998787*v**2/2 - 18*v + 62. Let f(p) = 0. Calculate p.
1, 577
Let m = 1187/36 + -571/18. Let s(i) be the first derivative of -10*i - m*i**4 - 4 + 0*i**3 + 15/2*i**2. Factor s(d).
-5*(d - 1)**2*(d + 2)
Let a(u) be the first derivative of u**4/16 - 69*u**3/4 - 105*u**2/4 + 104*u + 2801. Let a(o) = 0. What is o?
-2, 1, 208
Let r be (6/(-10))/(53/(-265)). Let q(t) be the first derivative of 0*t + 21/5*t**4 - 18/25*t**5 - 34/5*t**r + 18/5*t**2 - 20. What is x in q(x) = 0?
0, 2/3, 1, 3
Let k(s) = 13*s**2 + 13*s - 17. Let i(z) = 8*z - 5*z + 4 + 0*z - 3*z**2 - 6*z. Let a(r) = -18*i(r) - 4*k(r). Factor a(v).
2*(v - 1)*(v + 2)
Suppose -8/19*g**3 + 2/19*g**4 + 2/19*g**5 + 0*g + 0 - 8/19*g**2 = 0. What is g?
-2, -1, 0, 2
Let p(s) be the third derivative of 8/27*s**4 + 2*s**2 - 1/540*s**5 + 99 + 0*s + 0*s**3. Factor p(x).
-x*(x - 64)/9
Let x(w) be the first derivative of -7*w**6/6 - 2*w**5/5 + 21*w**4/2 + 68*w**3/3 + 37*w**2/2 + 6*w - 1565. Factor x(y).
-(y - 3)*(y + 1)**3*(7*y + 2)
Suppose -5*o = -4*o - a + 198, 0 = a - 2. Let j be 51/7 + -2 + 56/o. Factor 3/2*y**3 + 0 - 3/2*y**4 + 1/2*y**j - 1/2*y**2 + 0*y.
y**2*(y - 1)**3/2
Let a(l) be the second derivative of l**4/12 + 152*l**3/3 + 11552*l**2 + 1454*l. Factor a(n).
(n + 152)**2
Let s(m) = m**2 + 24*m + 113. Let j be s(-18). Let y be -3 + j + 0 - (3 + -3). Solve 0*v - y*v**2 - 8/3*v**4 + 14/3*v**3 + 0 = 0.
0, 3/4, 1
Let b(q) be the third derivative of -1/90*q**5 + 0*q + 0 - 1/6*q**4 + 46*q**2 + 16/9*q**3. Determine v so that b(v) = 0.
-8, 2
Suppose 10*n + 28 = 3*n. Let u = -2 - n. What is t in -7*t - 11*t**2 - 8*t**3 + 11*t**u - t + 28*t**2 - 12*t**4 = 0?
-2, 0, 1/3, 1
Let q(o) be the third derivative of -2/3*o**3 - 23/6*o**4 - o**2 - 613/60*o**5 - 21/10*o**7 + 1 - 161/20*o**6 + 0*o. Suppose q(x) = 0. What is x?
-1, -2/21
Factor 6 + 92599*a**2 - 14*a + 3*a - 92602*a**2 - 7*a**4 + 15*a**3.
-(a - 1)**3*(7*a + 6)
Let y(o) be the first derivative of -o**4/42 + 1240*o**3/63 - 96100*o**2/21 + 1367. Find m, given that y(m) = 0.
0, 310
Let 2/19*l**2 - 356/19*l + 0 = 0. Calculate l.
0, 178
Let 3/7*b**4 - 6/7*b**3 + 0 + 0*b - 72/7*b**2 = 0. What is b?
-4, 0, 6
Let t(z) be the first derivative of z**6/6 + z**5/4 - 10*z**4/3 - 10*z**3 + 160*z + 183. Let i(v) be the first derivative of t(v). Factor i(o).
5*o*(o - 3)*(o + 2)**2
Let v(i) = i**2 - 1564*i + 39990. Let l be v(26). Let -42/5*u + 441/5 + 1/5*u**l = 0. Calculate u.
21
Let x(r) = -r**3 + 5*r**2 + 7*r - 31. Let z be x(5). Solve 111/4*k**3 + 3*k**z + 27*k + 51*k**2 + 0 - 3/4*k**5 = 0 for k.
-2, -1, 0, 9
Factor 2/7*t**2 - 80/7*t + 768/7.
2*(t - 24)*(t - 16)/7
Let s be (-3)/5 - (-165)/25. Let a = 765373/1020508 + 2/255127. Factor -21/4*d**2 - a*d**3 - s*d + 12.
-3*(d - 1)*(d + 4)**2/4
Let j(k) be the second derivative of k**7/168 - 11*k**6/60 + 57*k**5/40 - 9*k**4/4 - 153*k**3/8 + 405*k**2/4 + 655*k. Factor j(i).
(i - 15)*(i - 3)**3*(i + 2)/4
Let h(z) = -z**2 - 13*z + 151. Let m be h(20). Let a = m + 511. Let 46/13*p + 14/13*p**a + 12/13 = 0. What is p?
-3, -2/7
Let c(h) be the second derivative of -h**5/210 - h**4/28 + 6*h**3/7 + 31*h**2 + 2*h + 1. Let g(z) be the first derivative of c(z). Solve g(j) = 0.
-6, 3
Let i(x) = 5*x**4 - 2*x**3 - 15*x**2 + 36*x + 4. Let q(c) = c**4 + 1. Let a(p) = i(p) - 4*q(p). Factor a(h).
h*(h - 3)**2*(h + 4)
Let i(a) be the third derivative of 1/35*a**5 - 1/210*a**6 + 1/1176*a**8 - 5*a**2 - 1/7*a**3 - 1/245*a**7 + 1/84*a**4 - 12 + 0*a. Solve i(d) = 0.
-1, 1, 3
Let g(p) = p**4 + 2*p**3 + p**2 - 1. Let v(j) = 4*j**4 - 9*j**3 - 18*j**2 - 5*j - 1. Let w = -546 - -547. Let y(o) = w*v(o) - g(o). Factor y(n).
n*(n - 5)*(n + 1)*(3*n + 1)
Factor 207/4*g - 3/4*g**2 - 297/2.
-3*(g - 66)*(g - 3)/4
Let q be -1*(4 - (-12)/(-3)). Let w be (-33)/(-108) - (7 + (-4 - (-93)/(-27))). Suppose -w*y**2 + q*y + 3/4*y**3 + 0 = 0. What is y?
0, 1
Let v(d) be the third derivative of 0*d**7 + 0 - 1/4