r g(c).
3*(c - 3)*(c - 1)*(c + 1)
Let x(t) be the second derivative of 23*t + 10*t**2 + 1/3*t**4 + 0 + 4*t**3. Determine q, given that x(q) = 0.
-5, -1
Let y(k) be the second derivative of k**6/30 + k**5/10 - k**3/3 - k**2/2 - 19*k + 3. Factor y(j).
(j - 1)*(j + 1)**3
Let c(z) be the third derivative of -z**5/60 - 17*z**4/96 - 13*z**3/24 + 11*z**2 + 2. Find j such that c(j) = 0.
-13/4, -1
Let c(r) be the second derivative of -r**7/6300 + r**6/1800 + r**5/150 + 5*r**4/12 - 6*r. Let t(x) be the third derivative of c(x). Factor t(j).
-2*(j - 2)*(j + 1)/5
Let z be (2/(-6))/((-3)/6). Let o be 109/545 - ((-22)/90 - 0). Let 2/3*s**5 - z*s**2 - o*s + 14/9*s**4 + 0 + 2/3*s**3 = 0. Calculate s.
-1, 0, 2/3
Let j(i) be the third derivative of i**7/7980 - i**6/1140 + i**5/380 - i**4/228 - 3*i**3/2 + i**2. Let x(r) be the first derivative of j(r). Factor x(l).
2*(l - 1)**3/19
Let b(o) be the third derivative of o**8/672 + o**7/105 + o**6/60 - o**5/60 - 5*o**4/48 - o**3/6 - 6*o**2 + 2. Factor b(m).
(m - 1)*(m + 1)**3*(m + 2)/2
Factor 9*c + 3 - 12*c**2 - 11*c**3 - 4*c**3 + 24*c - 9.
-3*(c - 1)*(c + 2)*(5*c - 1)
Let l(g) = -25*g**2 + 32*g - 10. Let n(c) = 41 - 88 + c + 46. Let f(y) = l(y) - 2*n(y). Factor f(t).
-(5*t - 4)*(5*t - 2)
Let i be ((-9)/((-144)/(-40)))/(50/(-8)). Factor 0*w**4 + i - 3/5*w - 1/5*w**5 - 2/5*w**2 + 4/5*w**3.
-(w - 1)**3*(w + 1)*(w + 2)/5
Let u(b) be the first derivative of b**5/4 - 5*b**4/4 + 12*b + 18. Let c(o) be the first derivative of u(o). Determine l so that c(l) = 0.
0, 3
Suppose -h + 18 = -4*u, -5*u + 16 = 2*h + 32. Factor 0*m**3 + 1/5*m - 1/5*m**5 + 0 + 2/5*m**h - 2/5*m**4.
-m*(m - 1)*(m + 1)**3/5
Let t be 95/76*10/4. Let l(o) be the third derivative of t*o**4 + 1/120*o**6 + 0 - 125/6*o**3 + 0*o - 1/4*o**5 + 12*o**2. Let l(m) = 0. What is m?
5
Let b(d) be the third derivative of -d**5/90 + 35*d**4/18 - d**2 + 63*d. Suppose b(y) = 0. What is y?
0, 70
Let v(r) = -r**2 - 6*r - 1. Let b be v(-5). Suppose 52 + 80 = 44*g. Suppose g*u**3 - 3*u**5 - 2*u - 8*u**4 + 7*u**b + u**2 + 2*u**5 = 0. What is u?
-2, -1, 0, 1
Let z(p) be the third derivative of -p**7/140 + p**6/20 + p**5/40 - p**4/4 - 36*p**2. What is d in z(d) = 0?
-1, 0, 1, 4
Suppose 0 = 69*i - 73*i - p + 3, -7 = -i + p. Suppose 0 - 3/4*g**i + g - 1/4*g**3 = 0. Calculate g.
-4, 0, 1
Let k = 122 - 160. Let j = 40 + k. Solve 9/4 + 3/2*b + 1/4*b**j = 0.
-3
Let o(n) = -n**2 + 18*n + 65. Let q be o(21). Factor 0 + 0*j + 4/3*j**3 + 0*j**q.
4*j**3/3
Let a(g) be the first derivative of 2 - 3/2*g**4 + 4/5*g**5 + 1/3*g**6 + 0*g**3 + 0*g + 0*g**2. Factor a(d).
2*d**3*(d - 1)*(d + 3)
Suppose 3*r**2 + 29*r + 0*r - 3*r**3 + 60 + 18*r + r = 0. Calculate r.
-2, 5
Suppose 22 - 28 = -2*b. Suppose -q - 8 = -4*u + 4, -3*q = -4*u + 20. Determine k so that 0*k**2 + 26 + 3*k - 3*k**u + b*k - 29 = 0.
1
Let s(t) = t**2 + t - 1. Let n(i) = 3*i**4 - 10*i**2 - 4*i + 7. Let o(j) = -n(j) - 4*s(j). Find c such that o(c) = 0.
-1, 1
Let g(t) be the second derivative of -3*t**7/70 + t**6/10 - t**5/20 - 21*t**2/2 + 4*t. Let d(w) be the first derivative of g(w). Factor d(p).
-3*p**2*(p - 1)*(3*p - 1)
Let x(q) be the second derivative of -1/3*q**4 + 0 + 0*q**2 - 23*q + 2/3*q**3 + 2/15*q**6 - 1/5*q**5. Factor x(a).
4*a*(a - 1)**2*(a + 1)
Solve -13/2*a**2 - 1/4*a**3 + 27/4*a + 0 = 0.
-27, 0, 1
Let p = 1245/2489 + -1/4978. Factor -p*x**3 + 1/2*x**2 + 1/2*x - 1/2.
-(x - 1)**2*(x + 1)/2
Suppose 3*m = 12, 20 + 12 = 3*f + 5*m. Factor -8*x**3 + f*x**4 + 2*x**3 + 2*x**3.
4*x**3*(x - 1)
Let z(s) be the second derivative of -s**7/147 + s**6/35 + 3*s**5/70 - 11*s**4/42 + 2*s**3/7 + 26*s + 1. Let z(d) = 0. Calculate d.
-2, 0, 1, 3
Factor 3*z**5 + 0*z**5 + 140*z**2 + 24*z - 152*z**2 - 9*z**3 + 3*z**4 - 9*z**3.
3*z*(z - 2)*(z - 1)*(z + 2)**2
Factor -j**2 - 2*j**2 + 62 - 74 + 15*j.
-3*(j - 4)*(j - 1)
Solve -3*r + 9 - 100/3*r**4 - 395/3*r**3 - 97*r**2 = 0 for r.
-3, -3/5, 1/4
Let c(m) = -m**4 - m**3 + m**2 - m - 3. Let q(n) = -5*n**4 + 142*n**3 - 1864*n**2 + 3310*n - 1593. Let k(g) = -2*c(g) + q(g). Factor k(z).
-3*(z - 23)**2*(z - 1)**2
Let d(w) be the first derivative of -23*w**5/70 + 8*w**4/7 - 9*w**3/7 + 2*w**2/7 - 41*w - 7. Let p(j) be the first derivative of d(j). What is b in p(b) = 0?
2/23, 1
Let u be (7/2 - 2)/((-12)/112). Let q be 11/(-22) + u/(-20). Factor 0 - q*v**2 - 1/5*v.
-v*(v + 1)/5
Let d(z) be the first derivative of z**5/20 - z**4/4 - 25*z**2/2 - 18. Let a(k) be the second derivative of d(k). Suppose a(w) = 0. What is w?
0, 2
Let g = -78931/3 + 26321. What is z in 16/3*z + 10*z**2 - g - 6*z**3 = 0?
-1, 4/3
Let q = 825 - 825. Let f(l) be the second derivative of -2/3*l**3 + q*l**2 + 0 - 8*l - 73/20*l**5 - 8/3*l**4 - 3/2*l**6. Factor f(m).
-m*(m + 1)*(5*m + 2)*(9*m + 2)
Factor 0*o + 0 + 12/7*o**2 - 2/7*o**3.
-2*o**2*(o - 6)/7
Let n = -11 + 2. Let q = -1 - n. Let -u**2 + q*u - u**2 - 2 - 3*u - u = 0. What is u?
1
Let k(b) be the first derivative of b**4/4 - 6*b**3 + 54*b**2 + 7*b + 1. Let o(v) be the first derivative of k(v). Factor o(u).
3*(u - 6)**2
Let q(k) be the first derivative of 14/15*k**5 + 1/3*k**4 + 0*k**2 + 8 + 0*k + 0*k**3 + 5/9*k**6. Factor q(o).
2*o**3*(o + 1)*(5*o + 2)/3
Determine p, given that 156/5*p**3 - 1248*p - 2882/5*p**2 - 2/5*p**4 - 640 = 0.
-1, 40
Let s(u) be the first derivative of 3*u**5/5 + 27*u**4/2 + 117*u**3 + 486*u**2 + 972*u - 79. Factor s(a).
3*(a + 3)**2*(a + 6)**2
Let m(w) be the third derivative of w**7/105 - w**6/8 + 23*w**5/60 + w**4 - 8*w**3/3 - 295*w**2. Factor m(z).
(z - 4)**2*(z + 1)*(2*z - 1)
Suppose -95 + 35 = -10*g. Let n(c) be the third derivative of g*c**2 + 1/18*c**3 - 1/180*c**5 + 0*c**4 + 0 + 0*c. Determine v, given that n(v) = 0.
-1, 1
Let f = 1108 - 1106. Let z(j) be the first derivative of -1/3*j**3 + f*j - 1/2*j**2 - 8. Factor z(c).
-(c - 1)*(c + 2)
Let c be -1*15*158*12/50. Let n = -564 - c. Factor 16/5*a**4 + n*a**2 - 4/5*a + 0 - 36/5*a**3.
4*a*(a - 1)**2*(4*a - 1)/5
Let j be ((-240)/300)/(2/(-5)). Let t(x) be the third derivative of -8/21*x**3 + 0 - 2/21*x**4 - 4*x**j - 1/105*x**5 + 0*x. Suppose t(y) = 0. What is y?
-2
Solve -f**2 + 12 - 3*f**2 - 12*f + 3*f**3 + f**2 = 0 for f.
-2, 1, 2
Let s be (10/(-2))/((-10)/6). Let q(g) be the first derivative of 0*g**s - 6*g - 5 + 3/4*g**4 - 9/2*g**2. Factor q(f).
3*(f - 2)*(f + 1)**2
Suppose 3*m = -2*m - 45. Let y = -6 - m. Factor y*z**2 - 4*z**2 + z + 3*z**2 - 3*z**2.
-z*(z - 1)
Suppose 3*j - 3 - 9 = 0. Find i such that -12*i**3 + i**4 - i**2 + 4*i**j + 2*i**3 + 6*i**2 = 0.
0, 1
Suppose 3*l = 4*i + 21, 6*l - 30 = 3*l + i. Let h(z) be the first derivative of 1 - 5*z**3 + 6*z**2 + z + 0*z**2 + 6*z**3 + l*z. Let h(d) = 0. Calculate d.
-2
Let l(k) be the second derivative of k**6/45 - 2*k**5/15 + k**4/6 + 4*k**3/9 - 4*k**2/3 - 23*k - 6. Factor l(a).
2*(a - 2)**2*(a - 1)*(a + 1)/3
Let l(v) = 5*v**3 + 104*v**2 - 217*v + 110. Let u(z) = -11*z**3 - 209*z**2 + 436*z - 221. Let n(i) = 5*l(i) + 2*u(i). Factor n(g).
3*(g - 1)**2*(g + 36)
Let f(k) = 5*k - 8. Let u be f(3). Factor -2*y + y - 5*y**2 + u*y**2 - y**3.
-y*(y - 1)**2
Let u(g) be the first derivative of g**4/22 + 4*g**3/11 - 7*g**2/11 - 64. Factor u(y).
2*y*(y - 1)*(y + 7)/11
Let j(x) = -x**2 - 8*x + 17. Let i be j(-9). Let f be 1*4 + 7/((-28)/i). What is p in 0 - 4/5*p + 2/5*p**f = 0?
0, 2
Let f(y) be the first derivative of -y**7/840 + y**5/240 - 13*y**2/2 - 25. Let s(j) be the second derivative of f(j). Let s(w) = 0. What is w?
-1, 0, 1
Find i, given that 0 + 1/2*i**2 + 149/2*i = 0.
-149, 0
Let t(p) be the third derivative of -1/10*p**5 - 1/40*p**6 - 33*p**2 - 1/560*p**7 + 0*p + 0*p**3 + 0*p**4 + 0. Let t(c) = 0. What is c?
-4, 0
Solve 0 + 0*j**2 + 0*j - 2/9*j**3 + 4/9*j**4 - 2/9*j**5 = 0 for j.
0, 1
Determine b so that 2/9*b**2 + 8/9*b**3 + 0*b + 0 + 2/3*b**4 = 0.
-1, -1/3, 0
Let a(m) be the first derivative of -m**5/35 + 25*m**4/14 - 572*m**3/21 - 676*m**2/7 - 673. Factor a(o).
-o*(o - 26)**2*(o + 2)/7
Let f(t) = -t**2 + 14*t - 21. Let s(g) = -12*g**3 - 2*g - 2. Let w be s(-1). Let n be f(w). Let 2/3*y**n - 2/3*y + 1/3 - 1/3*y**2 = 0. What is y?
-1, 1/2, 1
Factor 8/9 - 2/9*t**2 + 0*t.
-2*(t - 2)*(t + 2)/9
Factor s**2 - 8 + 41 - 3*s**2 + 12*s - 2*s + 15.
-2*(s - 8)*(s + 3)
Let p(r) = -2*r - 10. Let u be p(-14). Let i = u + -15. Solve 2 + w**2 - w**3 - i + 1 = 0