48) - 30/66. Determine t so that -u + t + y*t**2 = 0.
-5, 1
Let r = 18 + -16. Let z be 2 - 4/((-2)/1). Factor -8*u - 8 - 5*u**r + z*u**2 - u**2.
-2*(u + 2)**2
Let k(l) be the second derivative of l**4/4 + 8*l**3 + 189*l**2/2 + 5*l + 1. Find u, given that k(u) = 0.
-9, -7
Let o(z) be the first derivative of -2/3*z + 1/36*z**6 - 1/30*z**5 - 20 - 5/24*z**4 + 5/18*z**3 + 1/3*z**2. Solve o(i) = 0 for i.
-2, -1, 1, 2
Let q(v) be the first derivative of -v**6/9 - 24*v**5/5 - 143*v**4/3 + 152*v**3 - 361*v**2/3 - 895. Factor q(a).
-2*a*(a - 1)**2*(a + 19)**2/3
Suppose -2/5*k**3 + 1/5*k**2 + 0*k + 0 + 1/5*k**4 = 0. What is k?
0, 1
Let h(b) be the first derivative of -b**6/21 - 22*b**5/35 - 9*b**4/14 + 22*b**3/21 + 10*b**2/7 + 93. Suppose h(n) = 0. Calculate n.
-10, -1, 0, 1
Let l(b) = -b**3 + 14*b**2 - b + 17. Let a be l(14). Suppose 0 = -4*d + a*d + 3. Let -2/3*i**2 + 2/3*i**d + 2/3 - 2/3*i = 0. What is i?
-1, 1
Let 8*n - 3*n**2 + 5*n**2 - 2*n**3 + 0*n - 8*n**2 = 0. What is n?
-4, 0, 1
Let l(u) = -u**3 + 2*u**2 + 2. Let w be l(2). Find x, given that -x**3 + 26 + 3*x**3 - 2*x**4 + 2*x**w - 2*x - 26 = 0.
-1, 0, 1
Let k(j) = j**3 - 3*j**2 + j. Let r(v) = -8*v**3 + 96*v**2 + 180*v - 256. Let y(a) = -12*k(a) - r(a). Factor y(p).
-4*(p - 1)*(p + 8)**2
Let h(y) be the first derivative of 7*y**4/12 + 31*y**3/3 + 13*y**2/3 + 22. Factor h(r).
r*(r + 13)*(7*r + 2)/3
Let g(u) = 9*u**4 - 9*u**3 + 3*u**2 - 3. Let h(l) = l**5 + 17*l**4 - 17*l**3 + 7*l**2 - 7. Let n(m) = -7*g(m) + 3*h(m). Factor n(x).
3*x**3*(x - 2)**2
Let q = 7/89 + 773/356. Determine v, given that 0 + 3/4*v**4 - 9/4*v**3 + q*v**5 + 0*v - 3/4*v**2 = 0.
-1, -1/3, 0, 1
Let q(k) be the third derivative of -k**6/1440 - k**5/240 + 7*k**4/72 + 5*k**3/6 + 418*k**2. Suppose q(i) = 0. What is i?
-6, -2, 5
Let s(c) be the first derivative of 0*c - 2 - 5/8*c**4 + 7/2*c**2 + 5/24*c**5 + 3/4*c**3. Let t(a) be the second derivative of s(a). Factor t(f).
(5*f - 3)**2/2
Let z(g) be the third derivative of 0*g**6 + 1/112*g**8 + 0*g**4 + 0*g**3 + 0 + 5*g**2 + 0*g + 1/40*g**5 - 3/140*g**7. Solve z(f) = 0 for f.
-1/2, 0, 1
Suppose -18*k + 3509 - 1493 = 0. Let m = k - 334/3. Find f such that 2*f**2 + 0 - 4/3*f - m*f**3 = 0.
0, 1, 2
Let w = -11534 - -11536. Factor -1/3*u**w + 20/3*u - 100/3.
-(u - 10)**2/3
Let g(x) be the third derivative of 31*x**5/240 - x**4/48 + 15*x**2. Determine d, given that g(d) = 0.
0, 2/31
Let n be (21/(-2))/((-8)/32). Factor -5*r + n*r**2 + 23*r - 40*r**2.
2*r*(r + 9)
Suppose 2*i - 5*o + 142 = 4*i, -259 = -3*i + 4*o. Let a = -78 + i. Let -2*f**2 + 2*f**a + 2/3*f - 2/3*f**4 + 0 = 0. Calculate f.
0, 1
Let f(c) be the first derivative of -c**3/15 - 3*c**2/5 - 8*c/5 - 31. Factor f(w).
-(w + 2)*(w + 4)/5
Suppose -9*k = -12*k + 6. Factor -2337 - 4*g**3 - 64*g + 2317 - 28*g**k + 20*g.
-4*(g + 1)**2*(g + 5)
Let v(r) = -r - 4. Let w = -6 - 4. Let s be v(w). Factor 0 + s*h + 4*h**2 - 4*h**2 - 2*h**3 - 4.
-2*(h - 1)**2*(h + 2)
Let b(y) = -y**3 + 12*y**2 + 4*y - 48. Let g be b(12). Let h(p) be the third derivative of -5*p**2 + 1/300*p**5 + g*p**3 - 1/120*p**4 + 0*p + 0. Factor h(r).
r*(r - 1)/5
Let v be 20/25 + 12/(-15). Solve 48/5*m**5 + v + 6*m**2 + 99/5*m**3 + 24*m**4 + 3/5*m = 0 for m.
-1, -1/4, 0
Let w(i) be the first derivative of 7*i**4/20 + 2*i**3/15 - 7*i**2/10 - 2*i/5 + 75. Factor w(z).
(z - 1)*(z + 1)*(7*z + 2)/5
Suppose 2*x + 3*g - 22 = 0, -5*g = 3*x - 8*x + 5. Determine k so that -5*k + 7*k**5 - 3*k**5 + x*k - 8*k**4 + 8*k**2 - 4*k**3 = 0.
-1, 0, 1, 2
Let g(w) be the first derivative of 5*w**3/9 + 7*w**2/6 - 2*w - 253. Factor g(y).
(y + 2)*(5*y - 3)/3
Let c(h) be the third derivative of h**5/180 + 5*h**4/36 + 25*h**3/18 - 258*h**2. Factor c(x).
(x + 5)**2/3
Let w(u) be the first derivative of u**6/36 - u**5/3 + 3*u**4/8 + 323. Find r such that w(r) = 0.
0, 1, 9
Let p = 81 + -79. Let -25*t**2 - 200*t**4 + 71*t**3 + 7*t**5 + 105*t**5 + p*t + 40*t**3 = 0. What is t?
0, 1/4, 2/7, 1
Find f, given that -3*f**2 - 25743 + 6*f**2 + 25743 = 0.
0
Let j = 915329/13540 - 5/2708. Suppose -j*n**2 + 104/5*n - 8/5 = 0. What is n?
2/13
Factor -1/6*o**2 - 578/3 - 34/3*o.
-(o + 34)**2/6
Let b = 52360/47 + -1114. Let k = 43/94 + b. Solve -u + k*u**2 + 0 = 0 for u.
0, 2
Suppose 0 = 34*n + 102*n - 408. Factor 9/7*r**n - 54/7 + 48/7*r**2 + 45/7*r.
3*(r + 3)**2*(3*r - 2)/7
Let p(x) be the second derivative of x**6/30 + 33*x**5/20 + 85*x**4/4 - 289*x**3/6 - 7*x - 7. Factor p(w).
w*(w - 1)*(w + 17)**2
Let w be 88/(-33) - -2 - 2/(-3). Let g(q) be the third derivative of w*q + 1/30*q**7 + 1/12*q**4 + 1/20*q**5 + 0 - 10*q**2 + 0*q**3 - 1/10*q**6. Factor g(i).
i*(i - 1)**2*(7*i + 2)
Let w(u) be the third derivative of 3*u**7/70 + 11*u**6/120 - 4*u**5/15 - u**4/6 + 81*u**2 + 2*u. Factor w(m).
m*(m - 1)*(m + 2)*(9*m + 2)
Let k be ((-2)/(-24)*4)/((-1)/3). Let z be -4*4/(-24)*k/(-2). Factor 1/3*o**3 - o**2 + z*o**4 - 5/3*o - 2/3.
(o - 2)*(o + 1)**3/3
Let f = 38 + -37. Let c be 0/(f - (-2)/1). Factor c*z + 0 - 1/2*z**4 + 3/2*z**3 - z**2.
-z**2*(z - 2)*(z - 1)/2
Let s(g) be the third derivative of -3*g**8/448 - g**7/14 - 13*g**6/40 - 33*g**5/40 - 41*g**4/32 - 5*g**3/4 - 308*g**2. Let s(i) = 0. Calculate i.
-2, -5/3, -1
Let 7/6*j + 2/3*j**2 - 1/6*j**3 - 5/3 = 0. What is j?
-2, 1, 5
Let l(x) = 66*x**2 + 27*x - 7. Let n(j) = -2*j + 1. Let a(d) = 5*l(d) + 5*n(d). Factor a(i).
5*(6*i - 1)*(11*i + 6)
Suppose -3*l + 70 = 58. Let p = -5/2 + l. Solve k + p - 1/2*k**2 = 0.
-1, 3
Let g(p) be the first derivative of -p**6/40 + 21*p**5/80 - 15*p**4/16 + 9*p**3/8 + 35*p - 40. Let i(f) be the first derivative of g(f). Solve i(d) = 0 for d.
0, 1, 3
Let k(f) be the second derivative of 1/3*f**3 + 0*f**6 + 1/63*f**7 - 1/9*f**4 + 0 - 2/15*f**5 + 2/3*f**2 - 13*f. Suppose k(c) = 0. What is c?
-1, 1, 2
Let r(p) = -p**2 + 84. Let h be 0*-3*(-3)/(-9). Let d be r(h). Solve 2 + 21*q**4 - 50*q**3 - 18*q**2 - 7*q**3 + 6 + d*q + 16 = 0 for q.
-1, -2/7, 2
Let m(p) be the first derivative of 0*p + 0*p**3 - 1/3*p**2 + 0*p**5 - 1/9*p**6 + 1/3*p**4 + 2. Factor m(l).
-2*l*(l - 1)**2*(l + 1)**2/3
Let a be -17 - -27 - (0 - -4). Let p(j) be the first derivative of 2*j**2 + a + 4*j + 1/3*j**3. Find d, given that p(d) = 0.
-2
Let b(m) be the second derivative of m**4/54 - 65*m**3/27 + 64*m**2/9 - m + 13. Solve b(j) = 0.
1, 64
Let d = -17/4 - -27/4. Let w = 580 - 576. Find m such that d*m**w + 0 - 41/6*m**3 - 2/3*m + 4*m**2 = 0.
0, 1/3, 2/5, 2
Let i be (-7 + 3)/(106 - 108). Solve -2/9*b**i + 2/9*b + 4/9 = 0.
-1, 2
Let k(m) be the third derivative of m**8/840 + m**7/175 + m**6/300 - m**5/50 - m**4/30 - 69*m**2 + 2. Determine r, given that k(r) = 0.
-2, -1, 0, 1
Let -1/3*u**3 + 21*u**2 - 124/3 - 20*u = 0. What is u?
-1, 2, 62
Let y(v) be the second derivative of v**4/3 + 16*v**3/3 - 18*v**2 - 2*v - 66. Solve y(c) = 0 for c.
-9, 1
Suppose 16*b - 92 = -142 + 82. Factor 0 + 1/9*v - 1/9*v**b.
-v*(v - 1)/9
Suppose -3/5*o - 3/5*o**2 + 6/5*o**3 + 0 = 0. What is o?
-1/2, 0, 1
Let u(p) be the first derivative of 5*p**6/36 + 2*p**5/3 - 5*p**4/6 - 40*p**3/9 - 72. Determine m so that u(m) = 0.
-4, -2, 0, 2
Factor 2/3*n**3 - 56/9*n**2 + 64/9 + 56/9*n.
2*(n - 8)*(n - 2)*(3*n + 2)/9
Let j(z) be the first derivative of 0*z - 1/2*z**2 - 4/3*z**3 - 4/5*z**5 - 1/6*z**6 - 3/2*z**4 - 14. Solve j(v) = 0 for v.
-1, 0
Let z = 1 - -1. Factor 5*p**3 - 3*p**3 + 4*p**5 + 2*p**4 - 4*p**z - 5*p**5 + 2 + 0*p**2 - p.
-(p - 2)*(p - 1)**2*(p + 1)**2
Let f(w) be the second derivative of 0*w**2 + 0 - 1/114*w**4 + 0*w**5 + 8*w + 0*w**3 + 1/285*w**6. Factor f(x).
2*x**2*(x - 1)*(x + 1)/19
Suppose -124*v = -56*v - 136. What is u in -4/9*u**4 + 2/3*u + 2/9 + 2/9*u**v - 2/3*u**3 = 0?
-1, -1/2, 1
Let f(g) = -14*g + 35*g**3 - 34*g**3 + 33*g + 9*g**2 + 2*g**2 + 11. Let s be f(-9). Factor -22*p**4 - 7*p**3 - 17*p**3 + 2*p**4 - p**5 - 2*p - 12*p**s - 5*p**5.
-2*p*(p + 1)**3*(3*p + 1)
Determine d so that -51 - 105/2*d - 3/2*d**2 = 0.
-34, -1
Let d = -13 + 16. Let -14*r - r**d + r**2 - 16*r - 1 + 31*r = 0. What is r?
-1, 1
Let d = 4926 + -4924. Find s, given that -2/9*s**d + 8/9 + 0*s = 0.
-2, 2
Let u = 2642 + -2640. Suppose 8/3*p - 4 + p**3 + 13/3*p**u = 0. What is p?
-3, -2, 2/3
Let h(q) = -8*q**2 - 16*q - 15. Let t(b) = 22*b**2 + 46*b + 44. Let p(m) = -8*h(m) - 3*t(m). Factor p(a).
-2*(a + 2)*(a + 3)
Let p be (5