7*y - 171. Let o(s) = -3*m(s) + 8*r(s). Factor o(i).
2*(i - 87)*(i - 1)
Suppose 2*y - 9 = 35. Let t be (121/y)/(1/2). Find f, given that -t*f + 3*f**2 - 2 + 4 - f**2 + 7*f = 0.
1
Let o(q) be the first derivative of q**4/24 - q**3/6 - 569. What is a in o(a) = 0?
0, 3
Let k(d) be the first derivative of -2*d**6/5 - 6*d**5/5 - 9*d**4/8 - d**3/2 - 13*d**2 + 10. Let r(f) be the second derivative of k(f). Factor r(m).
-3*(m + 1)*(4*m + 1)**2
Let n(s) = -2*s**2 - 4*s + 4. Let c(i) be the second derivative of i**4/4 + 5*i**3/6 - 5*i**2/2 + 6*i. Let r(d) = 4*c(d) + 3*n(d). Determine g so that r(g) = 0.
-2, 2/3
Let o be (42 - 35)*(-2)/(-5). Factor -2*l**2 - 4/5 - o*l.
-2*(l + 1)*(5*l + 2)/5
Let i(j) = j + 1. Let w(z) = z**2 - 10*z - 10. Let x be w(11). Let y(r) = -5*r**2 + 9*r + 14. Let u(d) = x*i(d) + y(d). Find s such that u(s) = 0.
-1, 3
Let k(n) be the first derivative of -n**3 + 48*n**2 - 768*n + 39. Determine p, given that k(p) = 0.
16
Let y be (-24)/(-32) + 30/(-8). Let a be (-1)/y*(-4 - -10). Solve 4/3 - j**3 - 4*j + 11/3*j**a = 0 for j.
2/3, 1, 2
Let p(t) = 4*t**2 + 2*t**2 + 8*t - 3*t**2 + 2 - 2*t**2. Let s be p(-8). Find a such that s + 0*a + 5*a**3 - 3*a**3 + 4*a**2 - a**3 + 5*a = 0.
-2, -1
Let y(q) be the first derivative of -q**7/7980 + q**6/855 + q**5/380 - 3*q**4/38 + 13*q**3/3 - 32. Let d(w) be the third derivative of y(w). Factor d(o).
-2*(o - 3)**2*(o + 2)/19
Let l(t) be the third derivative of t**6/40 - t**4/2 - 46*t**2. Let l(r) = 0. What is r?
-2, 0, 2
Let g(f) be the third derivative of 8*f**2 + 0*f + 0 + 1/2*f**3 + 1/180*f**5 + 1/12*f**4. Factor g(j).
(j + 3)**2/3
Let r(f) = -318*f**2 + 562*f - 245. Let m(n) = -317*n**2 + 563*n - 245. Let b(u) = 2*m(u) - 3*r(u). What is p in b(p) = 0?
7/8
Let f = -45153/5 - -9033. Determine q, given that 0 - 3*q**2 - 3/5*q**3 - f*q = 0.
-4, -1, 0
Suppose -3*d + 4*u = -17, 5*u = -d + 6*d - 25. Let f(t) be the second derivative of -d*t + 0 + 0*t**3 + 1/3*t**4 + 0*t**2 - 9/10*t**5. Factor f(q).
-2*q**2*(9*q - 2)
Let p(q) be the third derivative of q**8/6720 - q**6/240 - q**5/60 - q**4/32 - q**3/3 + 8*q**2. Let f(t) be the first derivative of p(t). What is s in f(s) = 0?
-1, 3
Suppose -2*a + 18 = 3*d, -4*d + a = -d - 18. Let t = -4 + d. Factor -2*i**5 - t*i + 3*i**3 - i**3 + 2*i**3 + 0*i**3.
-2*i*(i - 1)**2*(i + 1)**2
Factor -2*a**3 - 8*a - 17*a**2 + 41*a**2 - 32*a**2.
-2*a*(a + 2)**2
Factor 56/5*h + 2/5*h**2 + 54/5.
2*(h + 1)*(h + 27)/5
Let w be 7 + (4 - 8) + 10*1. Let j = 16 - w. Let -4/5*f**2 - 4/5*f**j + 0 + 0*f = 0. What is f?
-1, 0
Factor -4*c**5 - 404*c - 303 + 288*c**4 + 115*c**3 + 7 - 349*c + 8*c**2 + 477*c**3 + 165*c.
-4*(c - 74)*(c - 1)*(c + 1)**3
Let d(v) be the first derivative of v**6/12 - v**5/5 + v**3/3 - v**2/4 + 243. Determine k, given that d(k) = 0.
-1, 0, 1
Let n be (1*(-1 + 7 + -6))/(-2). Let u(q) be the second derivative of 1/10*q**5 + 0*q**4 + 0*q**6 + n*q**2 - 1/6*q**3 + 0 + 8*q - 1/42*q**7. Solve u(z) = 0.
-1, 0, 1
Let w(s) = s**3 - 38*s**2 - 33*s - 234. Let h be w(39). Solve -32/9*l + h - 2/9*l**3 - 16/9*l**2 = 0 for l.
-4, 0
Let q = 3343/5 + -667. Solve -4/5*u**4 + q*u**3 + 4/5 - 8/5*u + 0*u**2 = 0.
-1, 1
Let y(p) be the first derivative of 5/3*p**2 - 7/18*p**3 + 1/2*p + 14. Factor y(c).
-(c - 3)*(7*c + 1)/6
What is a in 8 - 1 - 3*a**2 + 2*a**2 + 249*a - 255*a = 0?
-7, 1
Let y(o) = -9*o**3 - 26*o**2 - 19*o + 27. Let r(z) = -113*z + 26*z**2 + 131*z - 4*z**3 - 26 + 12*z**3. Let s(q) = 6*r(q) + 4*y(q). Solve s(u) = 0.
-3, -2, 2/3
Let l(t) be the second derivative of t**4/6 - 5*t**3/3 - 7*t. Factor l(d).
2*d*(d - 5)
Let b(i) be the third derivative of -i**9/20160 - i**8/6720 - i**5/6 - 3*i**2. Let f(s) be the third derivative of b(s). Factor f(w).
-3*w**2*(w + 1)
Let z be ((-150)/(-80))/((-294)/(-88)). Let o = 1/98 + z. Factor 18/7*m - o - 8/7*m**2.
-2*(m - 2)*(4*m - 1)/7
Let c(n) be the second derivative of 4*n**4/15 - 14*n**3/3 + 48*n**2/5 - 200*n. What is g in c(g) = 0?
3/4, 8
Let y(r) be the first derivative of 3*r**4/20 - 24*r**3 + 1440*r**2 - 38400*r + 125. Factor y(h).
3*(h - 40)**3/5
Let s(w) be the first derivative of -12 + 1/9*w**3 + 0*w - 1/6*w**2. Determine q so that s(q) = 0.
0, 1
Let b = -1/76 - -307/228. Let k(l) be the first derivative of 0*l**2 + b*l**3 - 9 - 4*l. What is p in k(p) = 0?
-1, 1
Let r(m) be the second derivative of m**5/60 - 7*m**4/36 + m**3/3 + 71*m. Solve r(a) = 0.
0, 1, 6
Factor -1/4*s**5 + 19/4*s**4 - 725/4*s - 69/2*s**3 + 375/4 + 235/2*s**2.
-(s - 5)**3*(s - 3)*(s - 1)/4
Let f(v) be the second derivative of -1/32*v**4 + 1/60*v**6 - 13*v - 1/16*v**2 + 0 + 5/48*v**3 - 1/32*v**5. Solve f(h) = 0.
-1, 1/4, 1
Let v(g) be the second derivative of -g**4/6 - 5*g**3/3 - 4*g**2 + 25*g. Factor v(a).
-2*(a + 1)*(a + 4)
Suppose 48 = -0*b + 12*b. Suppose -b*k + 30 = 18. Factor -3/4*h**2 + 1 + 1/2*h**4 - 2*h + 5/4*h**k.
(h - 1)*(h + 2)**2*(2*h - 1)/4
Suppose -3*y + 0*c = -2*c + 4, 3*y - 3*c + 6 = 0. Let n(k) be the second derivative of 1/20*k**5 - 1/6*k**4 + y + 1/6*k**3 + 0*k**2 - 3*k. Factor n(i).
i*(i - 1)**2
Let o = 24577/48 + -512. Let i(n) be the second derivative of -6*n + 0 - o*n**4 + 1/4*n**3 - 9/8*n**2. Factor i(b).
-(b - 3)**2/4
Let w be -3*28/(-12) - 2. Suppose 0 = -2*k - k, w*c - k = 15. Factor 2*r**3 + 4*r + 2*r**4 + r**2 - 8 + 5*r**2 - 3*r**3 - c*r**4.
-(r - 2)*(r - 1)*(r + 2)**2
Let k(z) be the second derivative of z**7/14 - z**6/10 - 3*z**5/2 + 5*z**4/2 + 9*z**3/2 - 27*z**2/2 + 18*z + 2. What is i in k(i) = 0?
-3, -1, 1, 3
Factor 0 + 8/3*w**3 + 4/3*w**5 - 4*w**4 + 0*w + 0*w**2.
4*w**3*(w - 2)*(w - 1)/3
Suppose -47 = -5*m + 3*q - 30, -5*m - q + 21 = 0. Find s such that 4/11*s**2 + 2/11*s**m + 6/11*s**3 + 0 + 0*s = 0.
-2, -1, 0
Let o(v) be the first derivative of 3*v**4/4 + 7*v**3 - 51*v**2/2 + 27*v + 11. Solve o(n) = 0 for n.
-9, 1
Let t(q) be the second derivative of -q**5/90 + q**4/12 + 4*q**3/9 - 2*q**2 - 7*q. Let r(y) be the first derivative of t(y). Factor r(h).
-2*(h - 4)*(h + 1)/3
Let g(c) be the second derivative of c**5/10 - 5*c**4 + 19*c**3 - 28*c**2 - 57*c. Solve g(b) = 0.
1, 28
Suppose 11*w - 6*w + 21 = i, 3*w = i - 21. Let h(p) = 9*p**2 + 381*p + 1101. Let k(q) = q**2 + 38*q + 110. Let a(s) = i*k(s) - 2*h(s). Factor a(l).
3*(l + 6)**2
Let q be (-3*5/(-1350))/(3 - 1). Let f(h) be the third derivative of 0 - 25/18*h**3 + 9*h**2 - q*h**5 + 0*h - 5/36*h**4. Determine i, given that f(i) = 0.
-5
Let l(c) = -35*c**5 - 15*c**4 - 5*c**2. Let f(v) = -5*v**2 - 2*v**2 - 12*v**4 - 10*v**4 - 53*v**5. Let i(k) = 5*f(k) - 7*l(k). Suppose i(o) = 0. What is o?
-1/4, 0
Let j = -23 - -25. Factor 8*d - 3*d**2 - 5*d**j + 6*d**2 - 4*d**2 - 2.
-2*(d - 1)*(3*d - 1)
Factor -1/4*f - 3/4*f**2 + 3/4*f**4 + 0 + 1/4*f**3.
f*(f - 1)*(f + 1)*(3*f + 1)/4
Let x(q) be the first derivative of 3/14*q**4 + 4/7*q**2 + 0*q - 40 + 1/35*q**5 + 4/7*q**3. Factor x(s).
s*(s + 2)**3/7
Suppose 2*s - 24 = -3*t, -3*t + 5*s + 19 + 26 = 0. Let f = t + -6. Suppose -f*q**2 + 0*q**2 - 3*q + 5*q**2 + 4*q = 0. What is q?
-1, 0
Factor 0 - 1/4*g - 1/4*g**2.
-g*(g + 1)/4
Let r(k) be the second derivative of k**5/30 - 2*k**4/9 - 4*k**3/9 + 16*k**2/3 - 2*k + 1. Find h such that r(h) = 0.
-2, 2, 4
Let q(r) be the second derivative of 9*r - 3/25*r**6 - 3/5*r**2 - 14/15*r**3 - 2/15*r**4 + 0 + 3/5*r**5. Suppose q(u) = 0. What is u?
-1/3, 1, 3
Let b be ((-36)/44 - -1) + (-4)/(396/(-279)). Factor -5*l - 15/2*l**2 + 5/4*l**4 + 5/4*l**b + 10.
5*(l - 2)*(l - 1)*(l + 2)**2/4
Suppose y + 1 = a, 6*a = a + y + 17. Let 4*f**3 + f**2 + 4*f**2 + 7*f**a + 2*f - 4*f**4 - 2*f**4 = 0. What is f?
-2, -1, 0
Factor -24*m**4 + 21/2*m**5 + 33/2*m**3 - 3*m**2 + 0 + 0*m.
3*m**2*(m - 1)**2*(7*m - 2)/2
Let h(s) be the first derivative of -s**8/3360 + s**7/420 - s**6/150 + s**5/150 + 19*s**2/2 - 23. Let q(w) be the second derivative of h(w). Factor q(c).
-c**2*(c - 2)**2*(c - 1)/10
Let f = 359 + -359. Let w(b) be the first derivative of f*b - 1/14*b**4 + 0*b**2 - 4 + 4/21*b**3. Find y such that w(y) = 0.
0, 2
Factor -3/2*s + 3/8*s**2 - 63/8.
3*(s - 7)*(s + 3)/8
Let g be ((-715)/22)/(-13) + 10/(-36). What is o in 16/9 + g*o + 4/9*o**2 = 0?
-4, -1
Let t(u) be the third derivative of 0 - 1/210*u**6 + 0*u - 1/84*u**5 + u**2 + 1/84*u**4 + 0*u**3 + 1/490*u**7. Factor t(a).
a*(a - 2)*(a + 1)*(3*a - 1)/7
Factor 89304/5*w + 