econd derivative of -s**6/10 + 3*s**5/2 + 11*s**4/4 - 111*s - 2. Factor v(m).
-3*m**2*(m - 11)*(m + 1)
Let s(l) be the first derivative of 12*l**5/5 + 63*l**4/4 - 19*l**3 - 9*l**2 - 258. Factor s(t).
3*t*(t - 1)*(t + 6)*(4*t + 1)
Factor -16*o**3 + 422222 + 17*o**3 + 548077 + 29403*o + 297*o**2.
(o + 99)**3
Let s(k) be the first derivative of k**4/4 - 2*k**3/3 + k**2/2 + 5. Let o be s(2). Factor -4*a**o + 9*a**4 + 0*a - 8*a**2 - 3*a**5 + 0*a.
-3*a**2*(a - 2)**2*(a + 1)
Suppose -7*m - 6 = -20. Suppose h = -2*k + 7, m*h - 4 = -2*h + 4*k. Find i, given that -7/4*i - 1/4*i**h + 5/4*i**2 + 3/4 = 0.
1, 3
Let t = 112513/8 - 14064. Suppose 0 + 1/2*y - t*y**2 = 0. Calculate y.
0, 4
Let d(s) be the second derivative of 1/20*s**5 - 1/48*s**4 + 29*s - 3/4*s**2 - 11/24*s**3 + 0. Factor d(u).
(u - 2)*(u + 1)*(4*u + 3)/4
Let d(b) be the first derivative of 2*b**3/39 + 380*b**2/13 + 72200*b/13 + 380. Determine y so that d(y) = 0.
-190
Let c(s) be the third derivative of 0*s + 0 - 14*s**2 - 2/15*s**4 - 1/150*s**5 - 16/15*s**3. Factor c(o).
-2*(o + 4)**2/5
Let r(w) be the first derivative of 11 - 2/51*w**3 + 5/17*w**2 - 8/17*w. Factor r(m).
-2*(m - 4)*(m - 1)/17
Factor 55*l**2 - 12*l**4 - 5*l**5 - 28*l**3 - 87*l**3 + 77*l**4.
-5*l**2*(l - 11)*(l - 1)**2
Suppose -76 + 4 = -6*n. Let g be n/(-75)*20/(-8). Factor 32/5 + g*m**2 + 16/5*m.
2*(m + 4)**2/5
Suppose 2*q = 8 - 2. Let f = -6 + 8. Factor 2*l**2 + q*l**3 - 4*l**3 - 5*l**2 + 2*l**f.
-l**2*(l + 1)
Factor -759 - 2*g - 5*g**4 - 6*g**3 + 762 - 2*g**5 + g**5 - g + 10*g + 2*g**2.
-(g - 1)*(g + 1)**3*(g + 3)
Suppose 9*f - 10*f + 4*f**2 + 2*f**2 - 2*f**3 - 6 + 3*f = 0. Calculate f.
-1, 1, 3
Let s(a) = a**2 + 2*a + 1. Let v(m) = 4*m - 9*m**2 + 15*m - 4*m + 1 + 13*m**2. Let o(g) = 5*s(g) - v(g). Suppose o(z) = 0. What is z?
1, 4
Let q(m) be the second derivative of m**5/50 - 59*m**4/5 + 13924*m**3/5 - 1643032*m**2/5 - 12*m + 7. Find g, given that q(g) = 0.
118
Let h(p) = -2*p**3 + 6*p**2 + 7*p + 2. Let u be h(-1). Let i(x) be the third derivative of -16/33*x**u + 0*x - 1/330*x**5 - 6*x**2 - 2/33*x**4 + 0. Factor i(o).
-2*(o + 4)**2/11
Let q(d) be the third derivative of -d**5/24 - 15*d**4/8 + 107*d**2. Factor q(a).
-5*a*(a + 18)/2
Let y(o) be the third derivative of o**9/3024 - o**8/840 + o**7/840 + o**3 + 6*o**2. Let c(g) be the first derivative of y(g). Find b such that c(b) = 0.
0, 1
Suppose -h + 6*c = c + 23, 15 = 3*c. Let v(t) be the first derivative of -t - 4 - 3*t + 3*t**h + 2*t**3 - 3*t**2 + t**2. Determine k so that v(k) = 0.
-1, 2/3
Let q(l) be the third derivative of -l**6/480 - 11*l**5/240 + 2*l**2 - 8. Suppose q(p) = 0. What is p?
-11, 0
Let k(v) = v**2 + 7*v - 8. Let s be k(-8). Let g(f) be the first derivative of 0*f + 1/15*f**3 + 1/20*f**4 + s*f**2 + 5. Factor g(u).
u**2*(u + 1)/5
Suppose 0 = -15*o - o + 48. Let l(v) be the third derivative of 0*v**3 + 0*v**4 - 1/40*v**6 + 0 + o*v**2 + 1/20*v**5 + 0*v. Factor l(t).
-3*t**2*(t - 1)
Find z such that -1/11*z**5 + 4/11*z + 0 - 4/11*z**2 - 3/11*z**3 + 4/11*z**4 = 0.
-1, 0, 1, 2
Let d(j) = -80*j**2 - 550*j - 1025. Let k(g) = 9*g**2 + 61*g + 114. Let o(m) = -4*d(m) - 35*k(m). Factor o(f).
5*(f + 2)*(f + 11)
Let o(j) be the second derivative of 3*j**5/20 - 11*j**4/8 - 2*j**3 - 7*j**2 + 15*j. Let k(w) be the first derivative of o(w). Factor k(q).
3*(q - 4)*(3*q + 1)
Let j(k) be the third derivative of 0*k**3 + 2/1155*k**7 + 0*k**4 + 0 + 0*k**5 - 7*k**2 + 0*k + 1/1848*k**8 + 1/660*k**6. Factor j(i).
2*i**3*(i + 1)**2/11
Find d such that 28*d + 392/3 - 4/3*d**4 + 20*d**3 - 244/3*d**2 = 0.
-1, 2, 7
Suppose 3*t - 38 = 5*t. Let c(o) = -5*o - 93. Let v be c(t). Suppose 0 - 4/5*h**3 + 0*h**v + 4/5*h = 0. What is h?
-1, 0, 1
Let s = 564 + -5074/9. Let c(g) be the first derivative of s*g**3 + 1/3*g**2 - 6 + 0*g. Determine i, given that c(i) = 0.
-1, 0
Let o(x) = -8*x**2 - 12*x**3 + 40*x + 8 - 8. Let d(l) = -4*l**3 - 3*l**2 + 13*l. Let r(w) = -8*d(w) + 3*o(w). Find m, given that r(m) = 0.
-2, 0, 2
Let v(n) be the first derivative of -n**6/9 + 11*n**5/15 + 5*n**4 + 3*n**3 + 930. Solve v(w) = 0.
-3, -1/2, 0, 9
Suppose 3*v = 4*l, -l = v - 2*v. Suppose -8 = -4*c - v. Solve 8/5*z - 2/5*z**c + 0 = 0 for z.
0, 4
Let l(z) = -z**2 + z. Let c(j) = 5*j**2 - 4*j + 1. Let h(w) = 2*c(w) + 11*l(w). Let s be h(3). Factor -3*o + 3*o**2 + 0*o**s + 6 - 6*o.
3*(o - 2)*(o - 1)
Let r be (-85)/1020*5/(-3). Let i(u) be the second derivative of -13*u + 1/6*u**2 - r*u**3 - 1/24*u**4 + 0. Find s such that i(s) = 0.
-2, 1/3
Suppose 4*t - 10 = 2*v, 0 = -4*v - 0*v - t + 7. Suppose v = 3*r - 5. Find i, given that 0*i + 2/11*i**4 - 4/11*i**r + 0 - 2/11*i**3 = 0.
-1, 0, 2
Solve 21/5*u**2 - 3/5*u**5 - 12/5 - 9/5*u**4 + 0*u + 3/5*u**3 = 0 for u.
-2, -1, 1
Let a(c) be the third derivative of -c**6/60 + 4*c**5/15 + 5*c**4/4 - 18*c**3 - 777*c**2. Let a(k) = 0. Calculate k.
-3, 2, 9
Let d = 1845/1222 + -6/611. Let 0 + d*j**3 + 6*j**2 + 6*j = 0. Calculate j.
-2, 0
Let c(k) be the third derivative of k**6/60 + k**5/60 - k**4/6 - 5*k**2. Let t(h) = -3*h**3 + 4*h. Let q(b) = 4*c(b) + 3*t(b). Suppose q(m) = 0. What is m?
0, 2
Factor -989 - 120*l**2 + 225*l**3 - 125*l**4 + 20*l + 989.
-5*l*(l - 1)*(5*l - 2)**2
Let y(i) be the first derivative of i**5/35 - 3*i**4/28 + i**3/21 + 3*i**2/14 - 2*i/7 - 65. Factor y(z).
(z - 2)*(z - 1)**2*(z + 1)/7
Let o = 26 - 16. Suppose o*s - 4*s**2 - 5*s**2 - 4*s = 0. Calculate s.
0, 2/3
Let m(z) be the first derivative of 2*z**6/3 + 16*z**5/5 - 2*z**4 - 16*z**3 + 18*z**2 + 26. Find k, given that m(k) = 0.
-3, 0, 1
Factor 11/2*f**2 + 1/4*f**3 - 1/4*f - 11/2.
(f - 1)*(f + 1)*(f + 22)/4
Let l(x) be the first derivative of -4*x**3/3 - 372*x**2 - 34596*x - 16. Factor l(y).
-4*(y + 93)**2
Let z be 0/3 + -5 + 40. Let p be (-9)/45 - (-22)/z. Factor p*l**2 + 6/7*l - 9/7.
3*(l - 1)*(l + 3)/7
Let g(i) be the second derivative of -i**5/90 - 2*i**4/3 + 25*i**3/9 - 38*i**2/9 + i - 84. Factor g(v).
-2*(v - 1)**2*(v + 38)/9
Solve -2/3*c**4 - 112*c**3 - 14444/3*c**2 - 13778/3 - 9296*c = 0 for c.
-83, -1
Suppose -2*i - 3*u = -7*u + 12, 3*u - 11 = i. What is k in 6*k - 2*k + 3*k**2 - i*k**2 + k = 0?
0, 5
Let v(y) be the third derivative of 0*y**3 - 1/840*y**7 + 0 + 1/448*y**8 + 0*y**5 - 1/240*y**6 + 0*y - 18*y**2 + 0*y**4. Determine n so that v(n) = 0.
-2/3, 0, 1
Let w = 30 + -27. Determine q, given that 20*q**3 + 3*q**2 + w*q**2 + 12*q**5 - 10*q**2 - 28*q**4 = 0.
0, 1/3, 1
Let p(w) be the second derivative of -529*w**5/100 + 253*w**4/60 + 8*w**3 + 18*w**2/5 + 26*w - 1. Factor p(n).
-(n - 1)*(23*n + 6)**2/5
Let q(w) be the second derivative of w**5/60 - 7*w**4/18 - 16*w**3/9 + 529*w. Let q(n) = 0. Calculate n.
-2, 0, 16
Let p(n) be the second derivative of 0 + 10*n - 16/3*n**3 - 8*n**2 - 5/3*n**4 - 1/5*n**5. What is a in p(a) = 0?
-2, -1
Let m(j) be the third derivative of j**9/211680 + j**8/35280 - j**5/20 + 18*j**2. Let r(s) be the third derivative of m(s). Factor r(h).
2*h**2*(h + 2)/7
Suppose 32*y = -114*y. Determine x, given that y*x + 0 + 3/7*x**2 = 0.
0
Let b = 751 - 747. Let t(k) be the second derivative of 5*k + 0 + 0*k**2 - 1/8*k**b + 0*k**3. What is d in t(d) = 0?
0
Suppose -2*s - 1 = h - 3, 8 = -4*h. Factor 0*f**2 - s*f**5 - f**5 - 6*f**2 + 50*f**3 - 41*f**3.
-3*f**2*(f - 1)**2*(f + 2)
Suppose 26*a**2 - 49*a**2 + 26*a**2 - 92*a + 24 + 25*a**2 = 0. What is a?
2/7, 3
Let y = 49655 - 7299245/147. Let t = y - -2/147. Factor -2/7*d**3 - 2/7*d**4 + 2/7*d**2 + 0*d + 0 + t*d**5.
2*d**2*(d - 1)**2*(d + 1)/7
Let m(v) be the second derivative of v**6/210 + v**5/140 - 3*v**4/28 + 11*v**3/42 - 2*v**2/7 + 366*v. Find k, given that m(k) = 0.
-4, 1
Let r(u) be the second derivative of u**4/30 + u**3/15 - 2*u**2/5 - 11*u + 1. Factor r(t).
2*(t - 1)*(t + 2)/5
Let c = -16 - -20. Suppose 0 = 4*p - 16, -5*x - 7*p + c*p = -27. Factor -3*z + 335*z**2 - 332*z**2 - x*z.
3*z*(z - 2)
Let h be (12/(-10))/((-10)/25). Determine j so that -h*j + 4*j + 6*j - 4*j**2 + 16 + 5*j = 0.
-1, 4
What is k in -4/7*k**2 - 24/7*k - 36/7 = 0?
-3
Let n(r) = 60*r**3 - 16*r**2 - 548*r + 232. Let a(y) = -40*y**3 + 11*y**2 + 365*y - 154. Let c(h) = -8*a(h) - 5*n(h). Factor c(z).
4*(z - 3)*(z + 3)*(5*z - 2)
Suppose -3*q = -5*m - 30, 55*q - 4*m = 57*q + 24. Factor q*g**3 - 8/11*g - 1/11*g**4 + 6/11*g**2 + 3/11.
-(g - 1)**3*(g + 3)/11
Let m