+ 11 + 1/3*z**2 + 19/18*z**4. Factor l(v).
(v - 2)*(38*v - 1)/3
Let u(o) = 2*o + 16. Let a be u(-8). Suppose 0 = 5*j - c - 5, a = -j + 6*j + 4*c - 30. Factor 8*w - 4*w**2 + j*w - 40 + 0*w + 9*w**2.
5*(w - 2)*(w + 4)
Factor 319/5*v**3 + 25599/5*v**2 + 1/5*v**4 + 0 + 25281/5*v.
v*(v + 1)*(v + 159)**2/5
Suppose -37/7*j**2 - 1/7*j**5 + 13/7*j**4 - 33/7*j**3 + 72/7 + 82/7*j = 0. What is j?
-1, 2, 4, 9
Let z(m) be the second derivative of m**7/105 - 8*m**6/75 + 13*m**5/50 - m**4/5 + 520*m. Suppose z(q) = 0. What is q?
0, 1, 6
Let n(j) = -j**2 - 8*j - 9. Let b be n(-6). Let w = 371489 - 371487. Factor -3/2*y**w + 3/2*y**b - 3/2*y + 3/2.
3*(y - 1)**2*(y + 1)/2
Suppose 4*p + 15 = -l, -5*l - 19 - 131 = 5*p. Let u = -33 - l. Suppose -27*a**u + 13*a**3 + 32*a**2 - 18*a**3 = 0. What is a?
0, 1
Let q(g) be the first derivative of -11/3*g**3 + 0*g**2 - 1/12*g**6 - 9/8*g**4 - 99 + 0*g + 6/5*g**5. Determine i, given that q(i) = 0.
-1, 0, 2, 11
Let x(y) be the first derivative of 5*y**6/18 + 8*y**5 - 680*y**4/3 + 17920*y**3/9 - 8320*y**2 + 51200*y/3 - 151. Factor x(b).
5*(b - 4)**4*(b + 40)/3
Let i(h) = -121*h**2 - 24*h + 20. Let f(x) = 61*x**2 + 11*x - 8. Let s(z) = 11*f(z) + 6*i(z). Let s(y) = 0. What is y?
-1, 32/55
Let v be (-1)/((10 - 125/12)*27/30). Factor v*c - 4/3*c**2 + 32/3.
-4*(c - 4)*(c + 2)/3
Let y = -16084/9 - -1788. Let z(n) be the first derivative of 4/9*n**2 - 2/9*n**4 - 3 - y*n + 2/9*n**3 + 2/45*n**5. Factor z(j).
2*(j - 2)**2*(j - 1)*(j + 1)/9
Let q be 8612*-8*21/(-2355808). Let p = q - -1/809. Let -6/13*n**2 + 8/13 + 2/13*n**4 + p*n - 4/13*n**3 = 0. Calculate n.
-1, 2
Let r be (-1 - -3) + -1 + 2. Let w(j) = j**3 + 107*j**2 - 181*j + 4035. Let a be w(-109). Determine f so that -10/7 + 18/7*f**a + 4/7*f**r - 12/7*f = 0.
-5, -1/2, 1
Suppose -4*j = 18*u - 15*u - 5, -4*u = -3*j + 10. Suppose -j*y - 7*a + 10*a = -1, -y + 3 = a. Factor 2*x - 3/2 - 1/2*x**y.
-(x - 3)*(x - 1)/2
Suppose -5*d - 5*i - 16 + 56 = 0, -20 = -3*d - 2*i. Factor 3*f**3 - 6*f**3 - 12*f**d + 13*f**4 + 4*f.
f*(f - 2)**2*(f + 1)
Let c(n) be the third derivative of 1/420*n**7 + 1/8*n**5 + 44*n**2 + 0 - 2*n + 13/48*n**4 + 1/3*n**3 + 7/240*n**6. Solve c(t) = 0.
-4, -1
Solve -2/5*l**2 - 34*l + 2/5*l**3 - 110 = 0.
-5, 11
Let w(m) be the first derivative of -m**6/12 + m**5/2 + 25*m**4/8 - 5*m**3/6 - 6*m**2 - 1079. Suppose w(l) = 0. Calculate l.
-3, -1, 0, 1, 8
Let m(l) be the first derivative of 111 + 20*l - 2*l**2 + l**4 - 20/3*l**3. Determine z so that m(z) = 0.
-1, 1, 5
Suppose -5*j = -f - 48, -4*f = -3*f + 3*j + 16. Let x be 4/(-1 + f/(-12)). Factor -9*b**3 + 3*b + 4*b**x + 2*b**3 + 2*b**2 - 2.
-(b - 1)*(b + 1)*(3*b - 2)
Let i(j) = 12*j - 1178. Let t be i(100). Let r(f) be the second derivative of 0*f**2 - 5/3*f**3 + t*f - 1/12*f**4 + 0. What is l in r(l) = 0?
-10, 0
Factor 448/9*b - 76/3*b**2 + 0 + 2/9*b**3.
2*b*(b - 112)*(b - 2)/9
Let y(b) be the first derivative of 14*b - 2/15*b**4 - 1/75*b**6 + 0*b**3 + 0*b**2 - 2/25*b**5 + 5. Let x(i) be the first derivative of y(i). Factor x(p).
-2*p**2*(p + 2)**2/5
Let h(r) = 2*r**3 - 356*r**2 - 360*r - 2. Let n(b) = 6*b**3 - 1066*b**2 - 1079*b - 7. Let j(m) = -7*h(m) + 2*n(m). Factor j(i).
-2*i*(i - 181)*(i + 1)
Let h be 11562/25 - ((-662)/(-1986))/(25/6). Factor 18/5 + 408/5*q + h*q**2.
2*(34*q + 3)**2/5
Let t = 10073/89309 - 44/353. Let f = 497/759 - t. Determine y so that 0*y + f*y**2 - 2/3 = 0.
-1, 1
Let z = -904999/3 + 301667. Factor -z*l**2 - 2/9 - 2/3*l - 2/9*l**3.
-2*(l + 1)**3/9
Factor -66*r - 50*r + 71*r - 40*r + r**2.
r*(r - 85)
Let r be (-2)/9 + ((-32)/(-624))/(60/440). Let -r*p**2 - 2*p - 24/13 = 0. Calculate p.
-12, -1
Suppose 4*o = a + 4*a - 4, 3*o - a = 8. Find n, given that 9*n - 26*n**2 + 27838*n**4 - 53*n - 27836*n**o + 20*n**3 = 0.
-11, -1, 0, 2
Let t(a) be the second derivative of 0 + 72*a + a**2 + 2/3*a**4 - 5/3*a**3. Factor t(b).
2*(b - 1)*(4*b - 1)
Suppose 2*w = z - 426, 0*w = 4*w. Let t = 428 - z. Factor -13/3*v**3 + 10/3*v**t + 4/3*v + 0 + 7/6*v**4.
v*(v - 2)**2*(7*v + 2)/6
Let f(o) = -o**2 - 2. Let l(d) be the first derivative of -10*d**3/3 - 10*d**2 - 24*d - 84. Let b(t) = -4*f(t) + l(t). Factor b(q).
-2*(q + 2)*(3*q + 4)
Let b(a) be the second derivative of -a**2 + 84*a + 0 + 1/2*a**3 - 1/8*a**4 + 1/80*a**5. Solve b(s) = 0 for s.
2
Let p(q) be the third derivative of -42*q**2 + 0*q + 0 - 3/70*q**5 - 1/84*q**4 + 0*q**3. Factor p(n).
-2*n*(9*n + 1)/7
Let h(s) = s**2 + 3*s + 5. Let z be h(-4). Let r = 18 + -12. What is v in -4*v**2 - v**2 + z - r - 5*v + 7 = 0?
-2, 1
Let n(s) be the third derivative of s**8/1344 + s**7/140 - s**6/240 - s**5/20 + s**4/96 + s**3/4 - s**2 + 3. Find k, given that n(k) = 0.
-6, -1, 1
Let r be (-1020)/(10 + 7)*25/(-28). Let a = r - 3361/63. Factor 2/9*j**3 + 0 - a*j**2 - 4/9*j.
2*j*(j - 2)*(j + 1)/9
What is m in -12160/3*m - 316/3*m**2 + 25600/3 - 2/3*m**3 = 0?
-80, 2
Let q be (-68)/102*(-5 - 0 - -2). Suppose 2*h**4 - 39*h**2 + 16*h**3 + 8*h**3 + 6 + 23*h + h**5 + 73*h**q + 6*h**4 = 0. Calculate h.
-3, -2, -1
Suppose 4*q - 7*q = 0. Suppose 2*c - 3*t = -q*t + 3, -2*t = 5*c + 2. Solve -2*x**3 + c*x**5 - 3*x**5 - 4*x**5 - 4*x**4 + 5*x**5 = 0 for x.
-1, 0
Let d(f) be the second derivative of -5*f**7/21 + f**6/6 + 13*f**5/4 - 5*f**4/6 - 50*f**3/3 - 20*f**2 + 1303*f. Let d(m) = 0. What is m?
-2, -1, -1/2, 2
Let j(l) be the first derivative of -5/12*l**4 + 0*l**2 + 6*l + 5/6*l**3 - 1/2*l**6 - 16 - 5/4*l**5. Let r(t) be the first derivative of j(t). Factor r(f).
-5*f*(f + 1)**2*(3*f - 1)
Suppose -5 = -a - 0, 4*a - 14 = 4*t - t. Factor -1/2*b**t + 2*b + 6.
-(b - 6)*(b + 2)/2
Let c(d) be the first derivative of 0*d - 1/24*d**6 + 0*d**3 - 20 + 8*d**2 + 5/6*d**4 + 0*d**5. Let t(i) be the second derivative of c(i). Factor t(g).
-5*g*(g - 2)*(g + 2)
Let p be (1260/(-445) + 7)/3. Let q = -5/89 + p. Factor 0 - 8/3*l**3 + 4/3*l**5 + q*l + 0*l**2 + 0*l**4.
4*l*(l - 1)**2*(l + 1)**2/3
Let b(s) be the second derivative of s**8/5040 + s**7/420 + s**6/90 + s**5/45 - 85*s**3/6 - 119*s. Let f(l) be the second derivative of b(l). Factor f(a).
a*(a + 2)**3/3
Let b(s) be the third derivative of -s**8/1008 + s**7/630 + 31*s**6/360 - s**5/180 - 5*s**4/12 + 467*s**2. Suppose b(o) = 0. Calculate o.
-5, -1, 0, 1, 6
Factor 0 + 0*v - 64/3*v**2 + 62/3*v**3 + 2/3*v**4.
2*v**2*(v - 1)*(v + 32)/3
Let b(y) be the first derivative of -4*y**3/3 + 3152*y**2 - 2483776*y - 7394. Factor b(i).
-4*(i - 788)**2
Let p(c) be the third derivative of 12*c**2 + 0*c**4 + 0 + 1/735*c**7 + c + 1/210*c**6 + 0*c**3 - 1/70*c**5. Let p(b) = 0. What is b?
-3, 0, 1
Let b(q) be the third derivative of -4*q + 0*q**3 + 0 + q**2 + 1/24*q**5 + 1/8*q**4 + 1/240*q**6. Solve b(w) = 0 for w.
-3, -2, 0
Let n(c) be the second derivative of -1/24*c**4 + 5/12*c**3 - 4 + 4*c + 0*c**2. Factor n(i).
-i*(i - 5)/2
Suppose 4*r = -2*r + 18. Let q = 60 + -57. Factor 4*u**4 - q*u**3 + 196*u**2 + 19*u**r - 3*u**4 - 106*u**2 + 125 + 200*u.
(u + 1)*(u + 5)**3
Let i(c) = -2*c**3 + 50*c**2 - 280*c + 66. Let m be i(8). What is z in -3/7*z**m - 243/7 - 54/7*z = 0?
-9
Let b(v) be the second derivative of 0 + 18*v**2 - 17/4*v**4 - 27/20*v**5 - 61*v + 4*v**3 + 1/2*v**6 + 1/14*v**7. Find a such that b(a) = 0.
-6, -1, 1, 2
Let v(x) = -11*x**3 - 177*x**2 - 3248*x + 3460. Let y(o) = 7*o**3 + 119*o**2 + 2166*o - 2307. Let f(s) = 5*v(s) + 8*y(s). Suppose f(t) = 0. What is t?
-34, 1
Suppose 34*v = -4*v - 242*v - 288*v. Suppose -1/4*d**5 - 7/4*d**4 - 3/2*d - 17/4*d**2 - 17/4*d**3 + v = 0. What is d?
-3, -2, -1, 0
Let x(f) be the third derivative of -f**5/15 - 115*f**4/6 - 417*f**2. Factor x(a).
-4*a*(a + 115)
Let u(m) = m**2 - 36*m - 115. Let n be u(39). What is f in -6*f**2 - 20*f + f**n - 2*f**2 + 4*f**2 - 2*f**2 - 20 = 0?
-2
Determine n, given that -34/5*n**2 + 56/5*n + 24/5 = 0.
-6/17, 2
Suppose -13832 + 20 - 4*s**3 - 60 - 4791*s + 260*s**2 + 983*s = 0. Calculate s.
-3, 34
Let n be 11 + (-8 - 264/90). Let m(h) be the third derivative of 1/40*h**4 + n*h**3 + 0 + 1/300*h**5 + 0*h - 4*h**2. Let m(u) = 0. What is u?
-2, -1
Let z be 25/10*4/5. Let 21*c**z - 6 + 0 - 9*c - 24*c**2 = 0. Calculate c.
-2, -1
Solve -215193 + 119615 + 1146*q - q**2 - 232751 = 0.
573
Suppose -2*z - t + 29 + 11 = 0, t = -4*z + 84. Suppose 3*h - z = w - 6*w, -4*h = -3*w + 19. Find j, given that -4*j**3 + 4*j**5