 d(r).
-4*(r - 2)*(r + 2)
Let h(z) be the third derivative of -7/12*z**5 + 1/24*z**6 + 0*z + 4*z**2 + 0 - 25/6*z**3 + 55/24*z**4. Factor h(f).
5*(f - 5)*(f - 1)**2
Solve -8 + 23/3*z + 1/3*z**2 = 0 for z.
-24, 1
Let x(o) be the first derivative of 3*o**5 - 39*o**4/4 - 6*o**3 + 30*o**2 + 24*o + 67. Factor x(w).
3*(w - 2)**2*(w + 1)*(5*w + 2)
Let s(x) be the third derivative of -39*x**2 - 1/56*x**7 + 0 - 7/160*x**6 + 3/80*x**5 + 1/4*x**3 + 7/32*x**4 + 0*x. Find b, given that s(b) = 0.
-1, -2/5, 1
Let m = -284 + 286. Let t(g) = g**2 + 3*g - 6. Let j be t(-5). What is c in -2*c**j + c**m + 2*c + c**4 + 4*c**3 - 6*c**3 = 0?
-2, -1, 0, 1
Let f(l) = 13*l**4 + 16*l**3 - 31*l**2 - 23*l + 4. Let j(k) = 7*k**4 + 8*k**3 - 15*k**2 - 11*k + 2. Let a(r) = -3*f(r) + 7*j(r). Solve a(u) = 0.
-1, 1/5, 1
Factor -18/7*c**3 + 0*c + 0 - 8/7*c**4 - 4/7*c**2.
-2*c**2*(c + 2)*(4*c + 1)/7
Factor -32/7*k**2 + 2/7*k**4 + 96/7 + 32/7*k - 8/7*k**3.
2*(k - 6)*(k - 2)*(k + 2)**2/7
Let d be (-7)/20*(-11)/(154/4). Let i(s) be the second derivative of 0*s**3 - s + 0 + 0*s**4 + 0*s**2 - 1/7*s**7 + 3/20*s**5 + d*s**6. Factor i(q).
-3*q**3*(q - 1)*(2*q + 1)
Let s(g) be the first derivative of g**6/18 - 4*g**5/15 - g**4/6 + 4*g**3/3 + 3*g**2/2 - 49. Factor s(k).
k*(k - 3)**2*(k + 1)**2/3
Let h(x) = 4*x**2 + 158*x + 83. Let q be h(-39). Let 0 - 100/7*l**q - 48/7*l**2 - 16/7*l + 44/7*l**3 + 120/7*l**4 = 0. What is l?
-2/5, 0, 1
Let b(z) be the third derivative of -z**6/600 + z**5/60 + z**4/15 - 2*z**3/5 + 224*z**2. Determine q, given that b(q) = 0.
-2, 1, 6
Let j(g) = -g**3 - 13*g**2 + g + 13. Suppose -i = -4*i - 39. Let q be j(i). Factor q*x**3 + 2*x**3 - 2*x**4 + 0*x**4.
-2*x**3*(x - 1)
Let g = -14 - -9. Let c be (-19)/g - (-4)/20. Factor -t**2 - 10 + 7 + t**c - t**5 + 3*t**3 - 2*t + 3.
-t*(t - 2)*(t - 1)*(t + 1)**2
Let q(f) = 16*f**3 - 168*f**2 - 224*f - 80. Let o(u) = u**3 - 3*u**2 - u + 1. Let x(z) = 20*o(z) - q(z). Determine c, given that x(c) = 0.
-25, -1
Factor 9*s**2 + 13*s**2 - 2*s**2 - 5*s.
5*s*(4*s - 1)
Let r = 3825 - 7641/2. Factor 3/2*p**3 + 9/2*p + r*p**2 + 3/2.
3*(p + 1)**3/2
Let b = -52 - -56. Let u(l) be the second derivative of 0*l**b + 0*l**3 - 1/30*l**6 + 1/20*l**5 + 0 + 0*l**2 - 8*l. Suppose u(q) = 0. What is q?
0, 1
Let i(x) be the first derivative of x**6/16 - 9*x**5/20 - 21*x**4/32 - 244. Factor i(p).
3*p**3*(p - 7)*(p + 1)/8
Factor -599*j**4 + 3*j**2 + 5*j**5 + 629*j**4 - 3*j**2 - 35*j**3.
5*j**3*(j - 1)*(j + 7)
Let k(a) be the third derivative of -a**7/1890 + a**6/540 + a**5/60 - a**4/108 - 4*a**3/27 - a**2 - 184. Find r such that k(r) = 0.
-2, -1, 1, 4
Let o = 26 - 43. Let j = o + 20. Let -4*a**2 + 4*a**4 + a**3 + 4*a - 2*a**3 - 3*a**j = 0. What is a?
-1, 0, 1
Let z = 1989 + -1983. Let u(f) be the second derivative of 3/70*f**5 + 12*f + 0*f**4 + 0 + 1/105*f**z - 4/21*f**3 + 0*f**2. Determine g, given that u(g) = 0.
-2, 0, 1
Let v(q) be the first derivative of q**3/12 - 9*q**2/4 + 81*q/4 + 64. Factor v(z).
(z - 9)**2/4
Let q(m) = -39*m**4 - 81*m**3 + 87*m**2 + 27*m - 66. Let b(x) = -11*x**4 - 23*x**3 + 25*x**2 + 8*x - 19. Let d(w) = 18*b(w) - 5*q(w). Factor d(u).
-3*(u - 1)**2*(u + 1)*(u + 4)
Let i(j) be the first derivative of -j**4/7 - 20*j**3/21 - 12*j**2/7 + 198. Solve i(o) = 0 for o.
-3, -2, 0
Determine s, given that 1/5*s**2 - 8/5 + 2/5*s = 0.
-4, 2
Let a(l) be the third derivative of 2*l**7/35 - l**6/40 - 9*l**5/5 + 9*l**4/8 + 10*l**2 + 4. Determine u, given that a(u) = 0.
-3, 0, 1/4, 3
Determine s, given that 8902 + 0*s**2 + 7973 + 3*s**2 - 450*s = 0.
75
Let a(d) = -11*d**2 + 10*d + 29. Let h be a(-4). Let s = 189 + h. Solve 2/3*k**3 + 0 + 1/3*k - k**s = 0 for k.
0, 1/2, 1
Let m be (-6 + 0 + 3)/(-1). Suppose 4*p - m*x = 2 + 1, 9 = 5*p - 2*x. Suppose 4*t + t**2 - 5*t**4 - 3*t - t**p + 2*t**4 + 2*t**4 = 0. Calculate t.
-1, 0, 1
Let k(c) be the first derivative of 32 - 1/7*c**3 + 6/7*c**2 + 0*c. What is v in k(v) = 0?
0, 4
Let y(m) be the third derivative of -3/40*m**4 + 1/5*m**3 + 1/100*m**5 + 0 + 7*m**2 + 0*m. Determine r, given that y(r) = 0.
1, 2
Factor 0 - y**3 - 16/9*y**2 + 4/9*y.
-y*(y + 2)*(9*y - 2)/9
Let s(q) = -28*q**2 - 250*q + 20. Let v be s(-9). Factor 3/5*b**v + 3/5 + 6/5*b.
3*(b + 1)**2/5
Let z(u) be the third derivative of -u**9/12096 + u**7/1008 + 3*u**5/20 + 5*u**2. Let x(i) be the third derivative of z(i). Solve x(c) = 0 for c.
-1, 0, 1
Let b(x) be the third derivative of -2*x**7/525 - 11*x**6/450 - x**5/30 + x**4/15 - 14*x**3/3 + 19*x**2. Let d(n) be the first derivative of b(n). Factor d(a).
-4*(a + 1)*(a + 2)*(4*a - 1)/5
Let i(y) be the first derivative of 2*y**5/5 - 2*y**4 + 2*y**3 + 24. Determine l so that i(l) = 0.
0, 1, 3
Let x(b) = 2*b + 7 - 6 - 3*b + 4. Let z be x(5). Factor -3*v**2 + 2*v**2 + 0*v**2 + z + 2 - v.
-(v - 1)*(v + 2)
Let 204*r + 254*r - 4*r**3 - 82*r - 10*r**2 + 256 + 126*r**2 = 0. Calculate r.
-2, -1, 32
Let q = 4277 - 29931/7. Solve -2/7*d**5 - q*d**4 + 40/7*d + 4*d**2 + 16/7 - 2/7*d**3 = 0.
-2, -1, 2
Let k(l) be the first derivative of -48*l**5/5 + 55*l**4/2 - 64*l**3/3 - 5*l**2 + 12*l + 82. Suppose k(p) = 0. Calculate p.
-3/8, 2/3, 1
Suppose -4*n - 7 = a + n, 0 = a + n - 1. Let f(b) = b - 1. Let i be f(3). Factor 4 - a*h + h**i - 5 - 3.
(h - 4)*(h + 1)
Let s(u) = 48*u**4 - 303*u**3 - 480*u**2 + 867*u. Let t(p) = 3*p**4 - 19*p**3 - 30*p**2 + 54*p. Let b(h) = -2*s(h) + 33*t(h). Solve b(z) = 0.
-2, 0, 1, 8
Let c(w) be the second derivative of 1/126*w**7 + 0*w**4 - 1/90*w**6 - 3*w + 0*w**3 + 0*w**2 + 0 - 1/30*w**5. Find y, given that c(y) = 0.
-1, 0, 2
Suppose m = 2*s + 30, 2*m + s = 6*m - 148. Let q = m - 32. Factor 3*v + 3*v**2 - q*v + 12*v.
3*v*(v + 3)
Let u = 157/7 + -155/7. Solve 18/7 - 12/7*j + u*j**2 = 0.
3
Suppose -450 = -12*z + 17*z. Let l = z - -93. Suppose -2/9*s + 2/9*s**l + 0 + 0*s**2 = 0. What is s?
-1, 0, 1
Let p(g) = 2*g**2 - 24*g - 62. Let f(q) = 6*q**2 - 72*q - 185. Let s(u) = 6*f(u) - 17*p(u). Factor s(w).
2*(w - 14)*(w + 2)
Let i(c) be the first derivative of -2*c**3/3 - 5*c**2 - 86. Find z such that i(z) = 0.
-5, 0
Let d = -16 + 89. Suppose 11*h**2 - 51*h + 76*h**3 + 14*h**2 + 27 - d*h**3 - 4*h**2 = 0. Calculate h.
-9, 1
Let j(z) = -z**2 - 7*z + 75. Let p be j(5). Let a be p/35 + 162/210. Find d, given that -4/5 - 2/5*d**2 + a*d = 0.
1, 2
Determine n so that 9/2 + 3/8*n**3 - 3/8*n**2 - 3*n = 0.
-3, 2
Let k be (1*5)/(-6 - 17/(-2)). Let b(q) be the second derivative of 5/12*q**4 + 5*q + 7/6*q**3 + 1/20*q**5 + 0 + 3/2*q**k. Factor b(m).
(m + 1)**2*(m + 3)
Factor 4*f**4 + 16*f + 40*f**2 - 32/3 + 68/3*f**3.
4*(f + 2)**3*(3*f - 1)/3
Let z = 143 - 135. Let y(r) = 3*r**2 + 59*r - 72. Let p(q) = -4*q**2 - 88*q + 108. Let m(a) = z*y(a) + 5*p(a). Factor m(k).
4*(k - 1)*(k + 9)
Let 0*f**2 + 22/7*f - 2/7*f**5 + 12/7 - 20/7*f**3 - 12/7*f**4 = 0. What is f?
-3, -2, -1, 1
Let u be (40/(-15))/(-4) - 30/(-9). Let c(a) be the third derivative of 1/3*a**3 + 0*a + 1/18*a**u + 0 - 1/90*a**5 + 6*a**2. Factor c(m).
-2*(m - 3)*(m + 1)/3
Let i(p) be the first derivative of p**6/105 - p**5/35 - p**4/6 - 4*p**3/21 - 9*p + 23. Let o(n) be the first derivative of i(n). Factor o(r).
2*r*(r - 4)*(r + 1)**2/7
Let l(a) be the third derivative of 27*a**8/196 - 6*a**7/35 - 17*a**6/210 - a**5/105 + a**2 - 103. Factor l(h).
4*h**2*(h - 1)*(9*h + 1)**2/7
Let s be 4*2097/(-6)*2/(-18). Let f = s + -153. What is x in f*x**2 - 2/3*x + 0 = 0?
0, 2/7
Suppose -21*f = 62*f - 27*f - 168. Let 0*z**2 + 0*z - 1/8*z**4 + 0 + 1/8*z**f = 0. What is z?
0, 1
Find g such that 30*g - 80*g**3 + 61*g**4 - 5*g**4 - 41*g**4 - 65*g**2 = 0.
-1, 0, 1/3, 6
Let c(s) be the first derivative of 0*s - 3/2*s**2 - 27 - 3/4*s**4 - 2*s**3. Factor c(h).
-3*h*(h + 1)**2
Let v(q) be the third derivative of q**7/735 - q**6/35 + q**5/7 - q**4/3 + 3*q**3/7 - 527*q**2. Factor v(b).
2*(b - 9)*(b - 1)**3/7
Let u(n) be the second derivative of -n**6/195 + n**5/65 + 7*n**4/78 - 8*n**3/39 - 12*n**2/13 + 156*n. Determine w, given that u(w) = 0.
-2, -1, 2, 3
Let b(s) be the first derivative of -s**6/15 + 6*s**5/25 - s**4/10 - 2*s**3/5 + 2*s**2/5 + 133. Solve b(v) = 0.
-1, 0, 1, 2
Let n(b) be the third derivative of -2*b**7/315 - b**6/30 - b**5/45 + b**4/6 + 4*b**3/9 - 111*b**2. Let n(o) = 0. Calculate o.
-2, -1, 1
Let v be (3/9 + 110/(-528))/20. Let j(q) be the third derivat