- 3/4*d**4 + 8*d**3. Let u(k) be the first derivative of q(k). Solve u(t) = 0 for t.
-1, 2/7, 1, 2
Let a be 3 + -6 - (-5 - -2). Suppose -2*n + 3*t = n - 210, a = t. Factor -2*p + n - 70 - 2*p**2.
-2*p*(p + 1)
Let z(g) = -5*g + 44. Let m be z(7). Factor -5 + 4*d + m - 6 - 1 - d**2.
-(d - 3)*(d - 1)
Suppose -4 = -4*b, -g + 3 = -2*b + 3*b. Let x = -109/15 - -23/3. Factor -1/5 - x*z**g + 3/5*z.
-(z - 1)*(2*z - 1)/5
Suppose 61*x**2 - 80 + 144*x - 72*x**3 + 21*x**4 - 41*x**4 + 111*x**2 = 0. Calculate x.
-5, -1, 2/5, 2
Let n(a) be the third derivative of -a**10/453600 - a**9/45360 - 4*a**5/15 - 29*a**2. Let y(g) be the third derivative of n(g). Factor y(d).
-d**3*(d + 4)/3
Let i(o) be the second derivative of -o**7/28 - o**6/60 + o**5/2 - 8*o**3/3 + 4*o**2 - 145*o. Determine l, given that i(l) = 0.
-2, 2/3, 1, 2
Let k(c) = -2*c**3 + 5*c**2 - 2*c + 58. Let g be k(4). Determine q so that -6/7*q - 24/7*q**2 - g*q**3 + 4/7 = 0.
-1, 2/7
Let j(r) be the second derivative of -49*r**6/150 + 1253*r**5/100 - 176*r**4/15 + 10*r**3/3 + 31*r - 5. Factor j(y).
-y*(y - 25)*(7*y - 2)**2/5
Find u such that 2 + 11/4*u**3 + 25/4*u + 1/4*u**4 + 27/4*u**2 = 0.
-8, -1
Let v(b) = 61*b - 2804. Let f be v(46). Factor 2/5*x**f - 14/5*x + 0.
2*x*(x - 7)/5
Let a(z) be the first derivative of 0*z**2 - 3*z - 1/30*z**4 - 2 + 1/100*z**5 + 1/30*z**3. Let i(q) be the first derivative of a(q). Solve i(h) = 0 for h.
0, 1
Suppose -150 - 3*h - 4*h**2 - 91*h - 250 + 14*h = 0. What is h?
-10
Suppose 0 + 0*g**2 + 2/11*g**4 - 6/11*g**3 + 8/11*g = 0. What is g?
-1, 0, 2
Let a = 2796937/7 - 400294. Let m = 733 + a. Find x such that 4/7*x + 0 + 8/7*x**3 + 2/7*x**4 + m*x**2 = 0.
-2, -1, 0
Factor 3*g + 36*g**4 - 6*g**2 + 6 - 3*g**2 - 33*g**4 - 3*g**3.
3*(g - 2)*(g - 1)*(g + 1)**2
Let l = 35069/4 - 8767. Factor 1/2*c - l*c**2 + 3/4.
-(c - 3)*(c + 1)/4
Let p = -26585/18 + 1477. Let v(c) be the first derivative of 3/2*c + 5 - 1/2*c**2 + p*c**3. Factor v(m).
(m - 3)**2/6
Let a(n) be the second derivative of -n**7/294 + 23*n**5/140 + 11*n**4/14 + 34*n**3/21 + 12*n**2/7 - 54*n. Determine t, given that a(t) = 0.
-2, -1, 6
Suppose 3*x = 3*k - k - 5, k = -3*x - 11. Let h be 8 + (-1)/k*2. Suppose 2*p**3 - h*p**3 + 9*p**3 = 0. What is p?
0
Let y(c) be the first derivative of 4*c**3/3 + 98*c**2 - 200*c - 177. Let y(b) = 0. Calculate b.
-50, 1
Let r = -129 - -187. Let x = 233/4 - r. What is g in -1/2 + x*g**2 + 1/4*g = 0?
-2, 1
Suppose 0 = -5*m + 3*g + 30 + 9, -3*m + 24 = -2*g. Let y be 2*(m/(-9) + 29/30). Factor 6/5 - y*q - 3/5*q**2.
-3*(q - 1)*(q + 2)/5
Let x(a) be the second derivative of -a**7/7140 + a**6/3060 - 5*a**3/6 - 6*a. Let m(g) be the second derivative of x(g). Solve m(u) = 0 for u.
0, 1
Let k(c) = -36*c**3 - 78*c**2 + 99. Suppose -3*l = 4*t + 2, 5*l + 2*t = 6*t - 14. Let f(y) = 5*y**3 + 11*y**2 - 14. Let n(b) = l*k(b) - 15*f(b). Factor n(z).
-3*(z - 1)*(z + 2)**2
Let n(g) be the first derivative of -4*g**3/3 + 116*g**2 - 3364*g + 91. Solve n(y) = 0 for y.
29
Let s(i) be the first derivative of -1/10*i**5 + 0*i**3 - 1/4*i**4 + 0*i**2 - 37 + 0*i + 1/12*i**6. Factor s(g).
g**3*(g - 2)*(g + 1)/2
Suppose 16 = 5*j - 9*j. Let h(u) = 4*u + 8. Let o(p) = p**2. Let s(d) = j*o(d) + h(d). Factor s(n).
-4*(n - 2)*(n + 1)
Suppose 5*z - 51 + 21 = 0. Determine x so that 132*x**3 - 24 + z*x**2 - 135*x**3 + 12*x + 0*x**2 = 0.
-2, 2
Let j(u) = u + 1. Let s be j(1). What is b in -4*b - s*b**3 + 8*b**2 + 7*b**2 - 30*b**2 + 9*b**2 = 0?
-2, -1, 0
Let x(r) be the third derivative of -r**6/120 - 7*r**5/30 - 2*r**4/3 - 37*r**3/6 + 33*r**2. Let m be x(-13). Suppose 3 - 11/2*i - 35/2*i**m = 0. Calculate i.
-3/5, 2/7
Let m(n) be the first derivative of 16 - 2/3*n**3 + n**4 + 0*n**2 + 0*n - 2/5*n**5. Factor m(x).
-2*x**2*(x - 1)**2
Let k(q) be the first derivative of -5 + 1/3*q**2 + 2/9*q**3 - 4/3*q. Suppose k(v) = 0. What is v?
-2, 1
Let s(j) be the first derivative of 1/2*j**2 - 1/4*j**4 + 18 - 1/3*j**3 + 1/5*j**5 + 0*j. Factor s(t).
t*(t - 1)**2*(t + 1)
Suppose -7*r = -89 - 58. Let z be (-10 + 8)*(r/(-19) + 1). Factor 0 + 0*y**3 + 4/19*y**4 + 2/19*y - 2/19*y**5 - z*y**2.
-2*y*(y - 1)**3*(y + 1)/19
Suppose 20 = 3*b + t, 23*b + 3*t = 20*b + 18. Let j(u) be the first derivative of -4/3*u**3 + 0*u + b - 2*u**2. Find w, given that j(w) = 0.
-1, 0
Let w(z) be the third derivative of -17/192*z**4 + 0*z - 1/12*z**3 - 1/120*z**5 + z**2 + 0. Determine r, given that w(r) = 0.
-4, -1/4
Let z be 4/3 - 26/6 - -3. Suppose -5 - 7 = -2*u. Solve z*f - 4*f + u*f - 2*f**2 = 0 for f.
0, 1
Determine h so that 0*h**2 - 20/3*h**3 - 2/3*h**4 + 0*h + 0 = 0.
-10, 0
Let -16*w**4 + 4/3*w**5 + 0*w**2 + 0 + 0*w + 44/3*w**3 = 0. What is w?
0, 1, 11
Let d(u) = -4 + 9*u**3 - 9*u + 3*u**2 - 12*u**3 - 10*u**2 + 1. Let q(z) = 16*z**3 + 36*z**2 + 46*z + 15. Let f(x) = -22*d(x) - 4*q(x). Factor f(p).
2*(p + 1)**2*(p + 3)
Let i(q) = -4 + 25*q - 34*q**2 + 13*q**3 + 0*q + 7*q. Let g(h) = -25*h**3 + 67*h**2 - 63*h + 9. Let l(r) = -4*g(r) - 7*i(r). Factor l(w).
(w - 2)*(3*w - 2)**2
Factor 12/7*q + 3/7*q**2 - 36/7.
3*(q - 2)*(q + 6)/7
Suppose 3*s - 4*i = 30, -13*i + 26 = -2*s - 18*i. Factor -2/3 + 12*f + 144*f**3 - 72*f**s.
2*(6*f - 1)**3/3
Factor 40/3*m**2 + 8/3*m**4 - 14/3*m + 2/3*m**5 + 0 - 12*m**3.
2*m*(m - 1)**3*(m + 7)/3
Let u = 1178 + -1176. Let s(c) be the third derivative of 0*c + 5/504*c**8 + 1/20*c**6 + 0*c**3 - 2*c**u - 13/315*c**7 + 0 - 1/18*c**4 + 1/90*c**5. Factor s(j).
2*j*(j - 1)**3*(5*j + 2)/3
Let s(l) be the third derivative of l**7/42 + l**6/8 - 5*l**5/12 - 5*l**4/8 + l**3/6 + 15*l**2. Let y(r) be the first derivative of s(r). Factor y(o).
5*(o - 1)*(o + 3)*(4*o + 1)
Let f(g) = -5*g**2 - 192*g - 187. Let d(p) = 15*p**2 + 577*p + 562. Let i(s) = 2*d(s) + 7*f(s). Let i(a) = 0. Calculate a.
-37, -1
Let l be 10/8 - 240/192. Let p(y) be the third derivative of -1/4*y**4 + 0*y**3 - 5*y**2 + 0*y - 1/30*y**5 + l. Factor p(k).
-2*k*(k + 3)
Let h(a) be the third derivative of a**5/2 - 55*a**4/12 + 35*a**3/6 + 27*a**2. Let c(p) = 29*p**2 - 109*p + 36. Let g(w) = -5*c(w) + 6*h(w). Factor g(i).
5*(i - 3)*(7*i - 2)
Determine y, given that -2*y**2 + 6*y**2 - 4*y**2 - 100 - 2*y**2 + y**2 - 20*y = 0.
-10
Let a(q) be the second derivative of -1/45*q**3 + 0 + 16*q - 1/225*q**6 + 1/150*q**5 + 0*q**2 + 1/90*q**4. Factor a(i).
-2*i*(i - 1)**2*(i + 1)/15
Let c(k) be the third derivative of -1/480*k**6 + 0*k**3 + 1/96*k**4 + 0*k**5 - 7*k**2 + 0 + 0*k. Factor c(u).
-u*(u - 1)*(u + 1)/4
Let x be 10/65 - 228/(-39). Suppose 5*o + x = -5*j - 4, -3*j - 16 = -2*o. Solve -18*h**3 - 7*h + 16 - 17*h + 8*h**3 + 12*h**o + 8*h**3 = 0.
2
Let 12*a**2 + 4/7*a**3 - 2/7*a - 6*a**4 - 2/7*a**5 - 6 = 0. Calculate a.
-21, -1, 1
Let o(m) be the second derivative of m**9/1512 - m**7/140 + m**6/90 + m**3/6 + m. Let i(g) be the second derivative of o(g). Factor i(b).
2*b**2*(b - 1)**2*(b + 2)
Suppose 195*w = 215*w. Let f(j) be the third derivative of 0*j**4 + 9*j**2 - 1/24*j**6 + 5/336*j**8 + 0 - 1/4*j**5 + w*j**3 + 1/14*j**7 + 0*j. Solve f(x) = 0.
-3, -1, 0, 1
Let x be (6/(-3) - (-20)/6)*3. Suppose -i**5 + 32*i**4 - 69*i**4 - 3*i**3 + 4*i + 4*i**2 + 33*i**x = 0. What is i?
-2, -1, 0, 1
Let y be 1152/960*10/42. Factor 2/7*g**3 - 6/7*g**2 + 4/7 + 2/7*g**4 - y*g.
2*(g - 1)**2*(g + 1)*(g + 2)/7
Suppose 152*z + 110 = 207*z. Suppose 12/5 + 16/5*j**z + 38/5*j - 2*j**3 = 0. What is j?
-1, -2/5, 3
Let i(z) = -3*z**2 - 45*z - 42. Let n(w) = -2*w**2 - 23*w - 21. Let f(x) = 5*i(x) - 9*n(x). Determine g so that f(g) = 0.
-1, 7
Let t = 10 + -8. Let x be (t/(-8))/((-1)/20). Factor 2*z**4 - 12*z**x + 3*z**5 - 2*z**4 + 8*z**3 - 3*z**4 + 4*z**2.
-z**2*(z - 1)*(3*z + 2)**2
Factor -2/11*q**2 + 0 + 20/11*q.
-2*q*(q - 10)/11
Let u(w) = 2*w**2 - 15*w + 14. Let g be u(7). Let j be g/35 + (292/70)/2. Factor j*k + 8/7 - 10/7*k**2.
-2*(k - 2)*(5*k + 2)/7
Let j(n) be the third derivative of n**6/40 - 7*n**5/100 - n**4/5 + 2*n**3/5 - 208*n**2. Suppose j(q) = 0. Calculate q.
-1, 2/5, 2
Let r be (486/40 - 12)*1/72. Let a(x) be the third derivative of 1/6*x**3 + 0*x + 1/120*x**5 + 0 - 7*x**2 - r*x**6 + 7/96*x**4. Factor a(c).
-(c - 4)*(c + 1)**2/4
Find g such that -10/3*g**2 + 50/9*g - 2*g**3 - 2/9*g**4 + 0 = 0.
-5, 0, 1
Factor 0 + 64/9*n**3 - 134/9*n**2 + 68/9*n + 2/9*n**4.
2*n*(n - 1)**2*(n + 34)/9
Let l(s) be the firs