*o - 447. Let y(j) = 5*f(j) - 3*u(j). Factor y(w).
5*(w + 2)*(w + 45)
Let w(a) be the first derivative of 3/2*a**4 + 2*a**3 - 3*a - 18 - 3/5*a**5 - 1/2*a**6 - 3/2*a**2. Suppose w(g) = 0. What is g?
-1, 1
Let c(i) = i**3 + 15*i**2 - 14*i + 32. Let o be c(-16). Let l(k) = -k**3 - k**2 + 4. Let y be l(o). Factor 4/5*z**y + 0*z - 8/5*z**2 + 0 + 4/5*z**3.
4*z**2*(z - 1)*(z + 2)/5
Let y(l) be the third derivative of -3*l**7/70 - l**6/40 + 3*l**5/5 + l**4/2 - 2*l**2 - 1. Suppose y(i) = 0. What is i?
-2, -1/3, 0, 2
Let s(l) be the first derivative of l**3/3 + 3*l**2 + 9*l + 124. Find d, given that s(d) = 0.
-3
Let r = 757 + -751. Let a(t) be the second derivative of 0 - 5*t + 2/15*t**r + 0*t**2 - 2/3*t**3 + 1/5*t**5 - 1/3*t**4. Factor a(y).
4*y*(y - 1)*(y + 1)**2
Suppose -5*z - 145 + 235 = 0. Factor 24*n**2 + z*n**2 - 46*n**2.
-4*n**2
Let u(s) = 3*s**4 - 63*s**3 - 647*s**2 - 1093*s - 517. Let i(m) = m**4 + m**3 - m**2 - m - 1. Let r(n) = -5*i(n) + u(n). Factor r(j).
-2*(j + 1)**2*(j + 16)**2
Let -68/3*r + 128/3 + 2/3*r**2 = 0. Calculate r.
2, 32
Suppose 316*t + 84*t - 813 = -13. Factor 2/3 + 2*f**t - 2*f - 2/3*f**3.
-2*(f - 1)**3/3
Let b(d) be the first derivative of 4*d**5/25 - d**4/5 + 213. Suppose b(o) = 0. Calculate o.
0, 1
Suppose -b + 5 = 4. Suppose -5*o - 28 = -3*w + b, -o - 7 = -w. Find i such that -w*i + 9/4 + 3/4*i**2 = 0.
1, 3
Let v(q) be the second derivative of q**4/15 + 43*q**3/6 - 27*q**2/5 + 799*q. Factor v(l).
(l + 54)*(4*l - 1)/5
Let i(d) be the first derivative of -d**6/240 - d**5/20 - d**4/4 - 7*d**3 - 7. Let n(p) be the third derivative of i(p). Suppose n(a) = 0. What is a?
-2
Let z = -26 + 15. Let r = z + 16. Find s such that 5*s - r*s + 4 - 2*s**2 - 2*s**2 = 0.
-1, 1
Let z(y) be the second derivative of y**5/40 + y**4/24 - y**3/12 - y**2/4 + 30*y + 1. Determine u, given that z(u) = 0.
-1, 1
Factor 4/5*a**2 - 4/15 + 22/15*a.
2*(a + 2)*(6*a - 1)/15
Solve -4 + 8*o - o**2 + 11*o + 2 - 25 - 7*o = 0 for o.
3, 9
Let l(n) be the first derivative of -n**4/24 - n**3/3 - n**2 - 26*n + 5. Let g(c) be the first derivative of l(c). Find r, given that g(r) = 0.
-2
Determine a so that -10*a - 12*a + 296 - 275 + a**2 = 0.
1, 21
Determine y, given that -10*y**2 - 35 + 108 + 7*y**2 + 13*y + 119 - 49*y = 0.
-16, 4
Let i be 2*(-3 + (-34)/(-4)). Suppose -i*s = -7*s - 12. Factor 0*u + 5 + 35*u**2 - 25*u - 15*u**s + 0*u**2.
-5*(u - 1)**2*(3*u - 1)
Let j(n) be the first derivative of n**4/18 + 16*n**3/27 + 17*n**2/9 + 20*n/9 + 377. Suppose j(d) = 0. Calculate d.
-5, -2, -1
Let s = -139/6 + 47/2. Solve 0 - 1/3*k**2 - s*k = 0 for k.
-1, 0
Let j(x) be the third derivative of 0 - 25*x**2 - 1/10*x**5 + 1/60*x**6 - 1/12*x**4 + 2/3*x**3 + 0*x + 1/105*x**7. Suppose j(b) = 0. What is b?
-2, -1, 1
Let a(j) be the first derivative of j**4/4 - 2*j**3/3 - 10*j**2 - 24*j - 254. Factor a(n).
(n - 6)*(n + 2)**2
Let p be 54/21*2 - (32 - 27). Factor p*f**2 - 5/7*f + 0.
f*(f - 5)/7
Factor -2*z**4 - 10*z**3 - 3*z**2 - 3*z**4 + z**2 + 2*z**2.
-5*z**3*(z + 2)
Factor 19/5*r + 59/5*r**3 + 51/5*r**2 + 31/5*r**4 + 6/5*r**5 + 2/5.
(r + 1)**3*(r + 2)*(6*r + 1)/5
Suppose -61 = 5*z - 71. Suppose -3*m - z*d = -68, 5*m - 3*d - 54 = 3*m. Factor -4*y + m*y**2 - 48*y**3 + 2/9.
-2*(6*y - 1)**3/9
Solve 2/11*d + 6/11*d**2 - 6/11 - 2/11*d**3 = 0.
-1, 1, 3
Solve -1/7*a**3 - 8/7*a**2 - 20/7*a - 16/7 = 0.
-4, -2
Let q(x) = 12*x**2 + 15*x - 24. Let n(s) = 11*s**2 + 12*s - 23. Let a(r) = -6*n(r) + 7*q(r). Factor a(y).
3*(2*y + 5)*(3*y - 2)
Factor 16/3 - 8*r + 2/3*r**5 - 4*r**4 + 22/3*r**3 - 4/3*r**2.
2*(r - 2)**3*(r - 1)*(r + 1)/3
Let s(f) be the first derivative of -2*f**5/25 + 9*f**4/10 - 28*f**3/15 + 297. Factor s(y).
-2*y**2*(y - 7)*(y - 2)/5
Let q(i) = 3*i**2 + 2*i. Let u(g) = -35*g**2 - 28*g + 4. Let x(k) = -3*q(k) - u(k). Factor x(h).
2*(h + 1)*(13*h - 2)
Let r(q) be the first derivative of -2*q**6/3 - 4*q**5/5 + 2*q**4 + 145. Let r(o) = 0. What is o?
-2, 0, 1
Solve 36*o + 75 - 3/4*o**2 = 0.
-2, 50
Solve -2*u**2 + 18*u + 4*u**2 - 2*u**2 - 23 + 4*u + u**2 = 0.
-23, 1
Let a(y) be the first derivative of 2*y**5/35 + 5*y**4/14 - 2*y**3/21 - 5*y**2/7 - 133. Factor a(m).
2*m*(m - 1)*(m + 1)*(m + 5)/7
Factor 0 + 32/3*s - 5/2*s**3 - 8*s**2 - 1/6*s**4.
-s*(s - 1)*(s + 8)**2/6
Let h(d) be the third derivative of d**8/3192 + 8*d**7/1995 + d**6/285 - 29*d**5/285 - 5*d**4/228 + 50*d**3/57 - 337*d**2. Determine q, given that h(q) = 0.
-5, -1, 1, 2
Factor -3*r**2 + 88*r - 52*r - 3*r**3 - 30*r.
-3*r*(r - 1)*(r + 2)
Let s(a) be the second derivative of -a**4/6 - 73*a**3/6 + 37*a**2/2 - 8*a. Factor s(j).
-(j + 37)*(2*j - 1)
Let f = 1934/3409 + 2/487. Let 0*x + 0 + 0*x**2 - f*x**3 = 0. Calculate x.
0
Let r(d) = -29*d**2 + 329*d + 349. Let b(m) = 7*m**2 - 82*m - 87. Let c(t) = -9*b(t) - 2*r(t). Suppose c(j) = 0. What is j?
-1, 17
Let j be (5 + -4)/(3/147). Let t = j - 49. Find o such that t*o**2 + 0*o - 2/7*o**3 + 0 = 0.
0
Let v(k) be the first derivative of 14*k**5/45 - 61*k**4/18 - 4*k**3/3 + 108. Factor v(r).
2*r**2*(r - 9)*(7*r + 2)/9
Let o be -2 + -11 - (21 + 4950/(-144)). Determine y, given that 0*y + o*y**2 + 0 = 0.
0
Suppose -15*g - 30*g = -135. Let r(a) be the second derivative of 3/10*a**6 + 0*a**g - 1/4*a**4 + 0 - 3*a + 0*a**2 + 3/10*a**5. Find d such that r(d) = 0.
-1, 0, 1/3
Factor -13/2*u**2 - 55/4*u - 7 + 1/4*u**3.
(u - 28)*(u + 1)**2/4
Find j, given that -375 - 3/5*j**2 + 30*j = 0.
25
Suppose 112*p - 120 = 108*p. Factor 10*m**4 + 35*m - 15 - p*m**3 - 10*m**2 + 28*m**4 + 0*m - 13*m**4 - 5*m**5.
-5*(m - 3)*(m - 1)**3*(m + 1)
Let -22 - 455*h**2 - 22 - 15 - 1 - 10*h**3 + 460*h + 65*h**4 = 0. What is h?
-3, 2/13, 1, 2
Let x be 3 + 8/(6/3). What is r in 6*r**3 - r**3 + 5*r**4 - 3*r**3 - x*r**4 = 0?
0, 1
Let w be (-12)/(-21) + 19/(-35). Let h(q) be the second derivative of 0*q**2 + 1/42*q**4 + 0 + 1/147*q**7 + w*q**6 + 0*q**3 + 3/70*q**5 + 2*q. Factor h(s).
2*s**2*(s + 1)**3/7
Suppose -3*r - 5*w + 185 = 170, 6 = 2*w. Suppose 0 + 21/4*a**3 + 3/2*a**2 + r*a = 0. What is a?
-2/7, 0
Let p(r) be the third derivative of r**8/84 - 2*r**7/35 + r**6/15 - 3*r**2 + 77. Find u, given that p(u) = 0.
0, 1, 2
Let j(t) be the third derivative of -2*t**7/735 + t**6/42 - t**5/15 + t**4/14 - 2*t**2 - 48. Suppose j(d) = 0. What is d?
0, 1, 3
Suppose -k + 15 = 2*i - i, -5*i - k = -63. Factor 1804*d**4 - 4*d**5 - 1804*d**4 - 8*d**2 + i*d**3.
-4*d**2*(d - 1)**2*(d + 2)
Suppose 23328/7*z + 24*z**3 - 3/7*z**4 - 3240/7*z**2 - 34992/7 = 0. What is z?
2, 18
Factor 3/5*s**4 - 12696/5*s + 0 + 5796/5*s**2 + 54*s**3.
3*s*(s - 2)*(s + 46)**2/5
Let q = -1271 - -1271. Determine l so that 1/5*l**4 + 0*l + 0 - 1/5*l**2 + q*l**3 = 0.
-1, 0, 1
Suppose 804 = -20*y + 3584. Let n = y + -136. Suppose n - 3*d + 3/4*d**2 = 0. What is d?
2
Suppose -5*i - 3*o + 2 = -8, 0 = 2*i + 5*o - 4. Let a(q) be the second derivative of 2*q**3 - 1/4*q**4 + 0 + 4*q - 6*q**i. Find g such that a(g) = 0.
2
Let u(y) be the third derivative of y**5/330 + y**4/33 - 4*y**3/11 - 10*y**2 + y. Factor u(r).
2*(r - 2)*(r + 6)/11
Let n(z) be the third derivative of -1/420*z**8 - 1/150*z**7 + 0*z**4 + 8*z**2 + 0*z**5 + 0 + 0*z + 0*z**3 - 1/200*z**6. Suppose n(y) = 0. Calculate y.
-1, -3/4, 0
Let v be -2 - (-1 + -3 + 2). Let d(a) be the first derivative of v*a**3 + 3/16*a**4 + 3/10*a**5 + 5 + 0*a**2 + 0*a + 1/8*a**6. Suppose d(s) = 0. Calculate s.
-1, 0
Let k(x) be the second derivative of -11*x**4/15 - 4*x**3/15 + 7*x + 8. Find a, given that k(a) = 0.
-2/11, 0
Solve 9 - 9*b**2 - 3/2*b**3 + 3/2*b = 0.
-6, -1, 1
Suppose 253 = 3*n + 4. Let x = -163/2 + n. Suppose x*h**2 - 3/2 + 0*h = 0. Calculate h.
-1, 1
Let k(x) = -x**4 + 16*x**3 + 17*x**2 + 3*x - 3. Let r(h) = -2*h**4 + 16*h**3 + 18*h**2 + 2*h - 2. Let q(w) = -2*k(w) + 3*r(w). Factor q(t).
-4*t**2*(t - 5)*(t + 1)
Factor 74916*h - 2*h**3 + 4466030 + 4*h**3 + 3422594 + 948*h**2 + 104723*h - 29855*h.
2*(h + 158)**3
Let z be -1*(-10)/(-2) + 6 + 0. Let f be (-13 - -14)*(3 - z). Factor -2/11*v**4 - 16/11*v**3 - 4*v**f - 18/11 - 48/11*v.
-2*(v + 1)**2*(v + 3)**2/11
Let a(b) = -b**3 + 9*b**2 - 6*b - 14. Let z be a(8). Factor 100 + 11*s**2 + 40*s - 5*s**2 - 2*s**z.
4*(s + 5)**2
Let w(g) be the second derivative of g**7/105 - 7*g**6/75 - 3*g**5/50 + 19*g**4/30 + 14*g**3/15 + 4*g - 3. Find l such that w(l) = 0.
-1, 0, 2, 7
Find n