 = g**2 - 20*g - 20. Let t be m(20). Let w be ((-3)/t)/((-1)/(-8)). Let 0 - 2/5*u**2 + w*u = 0. What is u?
0, 3
Let h = -538/207 + 70/23. Suppose -2/9*c**3 + 0 - 2/9*c**4 + 0*c + h*c**2 = 0. What is c?
-2, 0, 1
Determine v so that 242/7*v**2 + 2/7*v**5 + 286/7*v**3 + 46/7*v**4 + 0*v + 0 = 0.
-11, -1, 0
Let u be (9 + -10)*(-1 - 52/(-2)). Let t be 4*(120/u - -5). Find g, given that 2/5*g**4 + 0 - t*g**3 + 0*g**2 + 0*g = 0.
0, 2
Let b = -979 + 979. Let n(a) be the third derivative of -1/4*a**3 - 13/48*a**4 - 2*a**2 + b - 2/15*a**5 - 1/60*a**6 + 0*a. Solve n(i) = 0 for i.
-3, -1/2
Let p(j) = -7*j**3 - 8*j**2 + 5*j. Let c(y) = -7*y**3 - 7*y**2 + 4*y. Let g(o) = 3*c(o) - 2*p(o). Factor g(z).
-z*(z + 1)*(7*z - 2)
Find x, given that 6*x**4 - 107 - 101 + 3*x**3 + 3*x**5 + 208 = 0.
-1, 0
Factor 3*x - x - 20*x + 3*x**2 - 9*x + 54.
3*(x - 6)*(x - 3)
Solve -6/7*t**3 - 2/7*t**2 + 2/7*t**4 + 2/7*t + 4/7*t**5 + 0 = 0.
-1, 0, 1/2, 1
Let j = 451 - 251. Find t, given that 57*t**5 - 19*t + 43*t**5 + 3*t + 84*t**3 + j*t**4 - 32*t**2 = 0.
-1, -2/5, 0, 2/5
Suppose -228*j + 191*j + 2760 + 1680 = 0. Factor 75/2*s**4 + 0 + 27*s + 207/2*s**2 + j*s**3.
3*s*(s + 2)*(5*s + 3)**2/2
Let b(m) be the first derivative of -2*m**3/15 - 14*m**2/5 - 26*m/5 + 240. Factor b(d).
-2*(d + 1)*(d + 13)/5
Suppose 4*u - 5 = 7. Let l be 40/180 + (-264)/(-27). Factor -u*t**2 + 4*t - l*t + 4 - 4.
-3*t*(t + 2)
Let t(r) be the first derivative of 0*r**2 + 1/30*r**3 - 3 + 0*r**5 + 1/40*r**4 - 9*r - 1/300*r**6. Let s(z) be the first derivative of t(z). Factor s(x).
-x*(x - 2)*(x + 1)**2/10
Let n = -29 - -39. Suppose n - 6 = 2*j. Factor 3/4*b**3 - 9/4*b**j - 15/4*b - 3/2 + 3/4*b**4.
3*(b - 2)*(b + 1)**3/4
Let v(h) be the first derivative of -1/3*h**2 + 35/18*h**3 + 13 - 2/3*h. Determine s so that v(s) = 0.
-2/7, 2/5
Let j = -2865 - -2867. Determine k, given that 0*k - 1/2*k**5 - k**4 + 0 + 2*k**3 + 4*k**j = 0.
-2, 0, 2
Suppose 14 = 7*g - 21. Factor 4*k - 3*k**2 + 0*k**2 + g*k**2.
2*k*(k + 2)
Let c(t) be the first derivative of 5*t**3/3 - 90*t**2 - 185*t - 135. Solve c(p) = 0 for p.
-1, 37
Let d = 767/2265 + -4/755. Let m be (-8)/12 + (-4)/(-6). Determine v so that -1/3*v**4 + 0*v + 0*v**2 + 0*v**3 + m + d*v**5 = 0.
0, 1
Let y(o) be the second derivative of o**4/12 + 2*o**3/3 + 3*o**2 - o. Let s(u) = -u**2 - 8*u - 12. Let c = 106 - 103. Let q(v) = c*s(v) + 5*y(v). Factor q(n).
2*(n - 3)*(n + 1)
Suppose -247*y - 32*y + 120 = -438. Factor 1/2*z**4 + 0*z - 1/2*z**y - 1/2*z**3 + 1/2*z**5 + 0.
z**2*(z - 1)*(z + 1)**2/2
Let k(t) be the first derivative of -1/4*t**3 + 1/2*t - 18 - 5/8*t**2. Factor k(a).
-(a + 2)*(3*a - 1)/4
Determine k, given that -56*k**2 + 18 - 29*k - 99*k + 60*k**2 + 1006 = 0.
16
Let k be (-4)/(-1) - 6 - -61. Solve -30*j**3 + 2*j**2 - 8*j**4 + k*j**3 - 30*j**3 - 5*j**5 = 0.
-1, 0, 2/5
Let n(m) = -19*m - 30. Let h(i) = -10*i - 15. Let j(u) = -7*h(u) + 4*n(u). Let s be j(-3). Find z, given that z**2 - 1 + 1/2*z**s - 1/2*z = 0.
-2, -1, 1
Let u(p) = -p**3 - 3*p**2 + p + 5. Let d be u(-4). Factor 13 - 4*h**2 + d - 12*h - 14.
-4*(h - 1)*(h + 4)
Let u(l) be the third derivative of -l**6/60 - l**5/15 - l**4/12 + 241*l**2. Solve u(k) = 0.
-1, 0
Let l(q) = 26*q + 114. Let w be l(-4). Let p(u) be the third derivative of -w*u**2 + 0*u**3 + 0 + 0*u**6 + 0*u + 0*u**4 + 1/525*u**7 - 1/150*u**5. Factor p(x).
2*x**2*(x - 1)*(x + 1)/5
Let s(r) = 7*r**4 - 14*r**2 + 5*r - 3. Let i(p) = 11*p**4 - 22*p**2 + 8*p - 5. Let h(u) = -5*i(u) + 8*s(u). Solve h(g) = 0.
-1, 1
Let l(y) be the first derivative of -y**4/10 + 14*y**3/15 - 16*y**2/5 + 24*y/5 - 46. Factor l(g).
-2*(g - 3)*(g - 2)**2/5
Let 0 - 50/21*s - 2/21*s**2 = 0. Calculate s.
-25, 0
Let y(q) = 3*q + 5 + 0*q + 4 - 2*q. Let j be y(-7). Factor 3*v - 2*v + 5*v - 3*v**j.
-3*v*(v - 2)
Let l(w) be the third derivative of 4*w**7/315 + 137*w**6/180 + 119*w**5/9 + 289*w**4/36 + w**2 - 51. Factor l(d).
2*d*(d + 17)**2*(4*d + 1)/3
Let i(m) be the first derivative of 14*m**3/3 + 12*m**2 - 8*m - 69. Find h, given that i(h) = 0.
-2, 2/7
Let o(l) = 3*l**4 + 26*l**3 + 118*l**2 - 316*l + 167. Let f(s) = -10*s**4 - 79*s**3 - 354*s**2 + 950*s - 500. Let d(r) = 2*f(r) + 7*o(r). Solve d(j) = 0.
-13, 1
Let g(t) be the first derivative of 10 - 12*t - 1/9*t**3 + 2*t**2. Factor g(u).
-(u - 6)**2/3
Let h(k) be the third derivative of 0*k**5 + 0*k**6 + 0*k**4 + 0 + 0*k + 1/280*k**7 - 1/448*k**8 + 0*k**3 + k**2. Determine a so that h(a) = 0.
0, 1
Let s = 73 + -69. Let a be (s/3)/((-1)/(6/(-20))). Suppose 0*j**2 + 0 + a*j**4 + 0*j - 1/5*j**3 = 0. What is j?
0, 1/2
Let b(v) = 23*v**3 + 7*v**2 - 42*v + 6. Let x(d) = 22*d**3 + 10*d**2 - 40*d + 4. Let t(y) = 2*b(y) - 3*x(y). Factor t(j).
-4*j*(j - 1)*(5*j + 9)
Let p(f) be the first derivative of 2*f**5/25 + 3*f**4/10 - 14*f**3/15 - 3*f**2 + 36*f/5 + 46. Factor p(i).
2*(i - 2)*(i - 1)*(i + 3)**2/5
Let i(s) be the third derivative of -s**8/10080 - s**7/840 + s**6/36 - 8*s**5/15 - 35*s**2. Let k(z) be the third derivative of i(z). Factor k(w).
-2*(w - 2)*(w + 5)
Let d(x) be the second derivative of x**7/84 - x**5/40 - 44*x. Suppose d(z) = 0. What is z?
-1, 0, 1
Factor -63*h**3 - 224 + 43*h**3 + 80*h + 23*h**2 + 33*h**2.
-4*(h - 2)*(h + 2)*(5*h - 14)
Let j(c) = -16*c**3 - 51*c**2 + 31*c - 6. Let s(t) = 225*t**3 + 715*t**2 - 435*t + 85. Let z(x) = 85*j(x) + 6*s(x). What is d in z(d) = 0?
-5, 0, 1/2
Let o = -25 - -30. Factor 3*u**4 + 4*u**4 - 3*u**2 + 3*u**3 - 53*u**o + 50*u**5 - 4*u**4.
-3*u**2*(u - 1)**2*(u + 1)
Let i(f) be the third derivative of 0*f**3 - 1/120*f**6 - 1/8*f**4 + 0 + 1/15*f**5 + 15*f**2 + 0*f. Factor i(p).
-p*(p - 3)*(p - 1)
Suppose 0 = 88*s - 127*s. Let z(u) be the second derivative of s + 1/4*u**2 - 10*u - 1/48*u**4 - 1/24*u**3. Factor z(d).
-(d - 1)*(d + 2)/4
Let t(o) be the first derivative of -o**7/210 + o**6/120 + o**5/20 - o**4/24 - o**3/3 - 9*o**2 + 2. Let f(n) be the second derivative of t(n). Factor f(a).
-(a - 2)*(a - 1)*(a + 1)**2
Let a(i) be the first derivative of 11*i**4/15 - 2*i**3/15 - 526. What is k in a(k) = 0?
0, 3/22
Let b(t) be the first derivative of -t**3/15 + t**2 - 5*t - 121. Determine l so that b(l) = 0.
5
Suppose 21*w - 13*w - 16 = 0. Factor -23 + 72*p**2 - 3 + 28*p - 74*p**w.
-2*(p - 13)*(p - 1)
Let a be 6/(120/(-5))*-28. Let p(x) be the third derivative of 0*x**3 + 0*x**5 + 0*x**4 + 0*x + 0 + 1/60*x**6 + 1/105*x**a - 10*x**2. Let p(v) = 0. Calculate v.
-1, 0
Let g(y) = -23*y**2 + 328*y + 13443. Let t(z) = -14*z**2 + 164*z + 6721. Let r(i) = 3*g(i) - 5*t(i). Factor r(m).
(m + 82)**2
Let r = -5/222 - 11201/444. Let n = r + 61/2. Factor 3/4*v**5 - n*v + 6*v**2 - 3/2*v**4 + 3/2 - 3/2*v**3.
3*(v - 1)**4*(v + 2)/4
Determine b so that 3/2*b**3 + 18*b - 15*b**2 + 108 = 0.
-2, 6
Solve 414/5*y**3 + 16*y - 14/5*y**5 + 74/5*y**4 - 72/5 + 478/5*y**2 = 0.
-2, -1, 2/7, 9
Suppose -9*d + 0*d**3 - 11/2*d**2 + 1/2*d**4 - 4 = 0. What is d?
-2, -1, 4
Let y(u) be the second derivative of -u**7/28 + u**6/5 - 9*u**5/20 + u**4/2 - u**3/4 + 41*u. Factor y(j).
-3*j*(j - 1)**4/2
Let t(o) be the first derivative of 0*o**2 - 1/12*o**6 + 0*o**3 + 0*o - 18 - 1/8*o**4 + 1/5*o**5. Suppose t(l) = 0. Calculate l.
0, 1
Let j = -171 + 173. Let h be 5*1*15/25 + j. Determine p, given that 0 + h*p + 5/2*p**2 = 0.
-2, 0
Suppose 0 = -12*s - 35 + 71. Let q(j) be the second derivative of 1/20*j**4 + 6*j + 0*j**2 - 1/5*j**s + 0. Factor q(w).
3*w*(w - 2)/5
Suppose 616 = -6*t + 2*t. Let i be 191/14 + 22/t. Factor -9*l + i + 3/2*l**2.
3*(l - 3)**2/2
Suppose -u - 5*i = 13, -3*u + 4*i = -6*u - 6. Solve -16*t + 15*t**2 - u*t + 12*t**2 + 45 - 42 = 0 for t.
1/3
Let c(o) be the second derivative of -3*o**5/80 + 3*o**4/4 - 29*o**3/8 + 27*o**2/4 + 174*o. Let c(x) = 0. What is x?
1, 2, 9
Let r be (1/(6/(-8)))/(14*(-38)/1197). Factor 4/11*u**2 + 2/11*u**4 + 0 - 6/11*u**r + 0*u.
2*u**2*(u - 2)*(u - 1)/11
Suppose 30*r - 29*r - 1 = 0. Factor 3 + 7*z**4 + 19*z**3 + 2*z + 2*z**2 - 27*z**3 - 2*z**5 + r - 5.
-(z - 1)**4*(2*z + 1)
Let j = -1148 - -1151. Factor -18/5*l**j - 56/5*l + 12*l**2 + 16/5.
-2*(l - 2)*(3*l - 2)**2/5
Let v(m) = 2*m**2 - 2*m + 2. Let w = -16 - -14. Let q(y) = y**2 - 3*y + 3. Let a(i) = w*q(i) + 3*v(i). Find x, given that a(x) = 0.
0
Let d(q) be the second derivative of -q**4/90 + 154*q**3/45 - 5929*q**2/15 + 256*q. Factor d(r).
-2*(r