- 2*j**2 + 14*j + 6. Let n(v) = o*x(v) + 6*u(v). Factor n(d).
4*d*(d - 2)*(d + 1)
Factor 5808 + 3/2*r**3 + 3168*r + 135*r**2.
3*(r + 2)*(r + 44)**2/2
Factor -9*a - 4*a**2 - 52 + 49 - 83*a - 85.
-4*(a + 1)*(a + 22)
Let p = 29003/375 - 232/3. Let n = p + 99/125. Suppose 6/5*s**2 + 1/5*s**4 - 4/5*s - n*s**3 + 1/5 = 0. Calculate s.
1
Let y(l) be the first derivative of -l**8/1960 + l**7/588 + l**6/630 - 2*l**3/3 - 29. Let o(m) be the third derivative of y(m). Factor o(h).
-2*h**2*(h - 2)*(3*h + 1)/7
Factor -17/3*x**3 - 11/3*x - 7*x**2 - 2/3 - 5/3*x**4.
-(x + 1)**3*(5*x + 2)/3
Let d(a) be the first derivative of 17*a**4/2 - 80*a**3/3 + 29*a**2 - 12*a - 401. Solve d(z) = 0 for z.
6/17, 1
Suppose -12 = -s - 4*x, 4*s - 5*s - 2*x + 8 = 0. Suppose d - s*d = -0*d. Suppose 3/4*f**5 + 0*f - 3/4*f**3 + 0 + 0*f**4 + d*f**2 = 0. What is f?
-1, 0, 1
Suppose -35*n + 56*n = 42. Let p(t) be the second derivative of 3*t - 2/21*t**7 + 0*t**5 + 0 + 0*t**3 + 0*t**4 - 4/15*t**6 + 0*t**n. Solve p(r) = 0.
-2, 0
Let z = 17 + -16. Let w be (-2 + 13)*z - -1. Factor 12*k + 9*k**2 - 11*k**2 - k**2 - w.
-3*(k - 2)**2
Let c be (1 + (-52)/50)*10/(-4). Let f(l) be the third derivative of 0 + 0*l - 2/5*l**3 + c*l**4 - 1/100*l**5 - l**2. Factor f(v).
-3*(v - 2)**2/5
Let l(w) be the first derivative of 2*w**3/3 + 4*w**2 - 10*w - 36. Determine g so that l(g) = 0.
-5, 1
Suppose 7*a + 9 = -2*w + 4*a, 3*w = -5*a - 16. Let g = 3473/8 - 433. What is l in 3/4 + 3/8*l**w + 0*l**2 - g*l = 0?
-2, 1
Let r = 48154/5 - 9618. Let -2/5*x**3 - 4*x**2 - 64/5 - r*x = 0. Calculate x.
-4, -2
Factor 5/4*s**4 + 5/2*s + 25/4*s**2 + 5*s**3 + 0.
5*s*(s + 1)**2*(s + 2)/4
Let r(a) be the third derivative of -a**6/300 - 17*a**5/150 - 4*a**4/15 + 65*a**2 + 2. Determine s, given that r(s) = 0.
-16, -1, 0
Let r(a) = 4*a**2 - 41*a + 73. Suppose u + 32 = -3*b, -2*u = 5*b - 0*u + 55. Let z(s) = 2*s**2 - 20*s + 36. Let m(g) = b*z(g) + 4*r(g). Factor m(n).
-2*(n - 4)**2
Let p(v) be the second derivative of -v**4/66 - 23*v**3/33 + 50*v**2/11 - 2*v - 27. Factor p(z).
-2*(z - 2)*(z + 25)/11
Let q(m) be the second derivative of -m**3 + 0 + 3/55*m**6 - 1/231*m**7 - 8*m + 23/33*m**4 - 3/11*m**5 + 9/11*m**2. Determine s, given that q(s) = 0.
1, 3
Let p(c) be the first derivative of -c**3/18 - c**2 - 35*c/6 + 122. What is i in p(i) = 0?
-7, -5
Let i = -14 - -17. Solve h**2 - 3*h**2 - 4*h**2 + 3*h + i*h**2 = 0.
0, 1
Let v(d) be the third derivative of 2*d**2 + 0*d + 5/6*d**4 + 0 - 1/12*d**5 - 5/2*d**3. Determine m so that v(m) = 0.
1, 3
Let p(q) = -14*q**2 - 67*q - 44. Let f be p(-4). Determine u so that -2*u**2 - 2/3*u**4 + 8/3*u**3 + 0*u + f = 0.
0, 1, 3
Let a be (3 + 2*(-38)/(-4))*1. Let p = -20 + a. Factor 2*f**3 - 4/3 + 6*f - 20/3*f**p.
2*(f - 2)*(f - 1)*(3*f - 1)/3
Let n be (16/(-7))/((-356)/1246). Suppose -4/3 - 32/3*u**3 + 4*u**4 + n*u**2 + 0*u = 0. Calculate u.
-1/3, 1
Determine q, given that -1/2*q**2 - 9 - 9/2*q = 0.
-6, -3
Let s = 35 + -23. Let l(q) be the first derivative of -21*q**2 + 8*q**3 - 3*q**3 - s*q + 9*q**2 + 2 - 4. Find h, given that l(h) = 0.
-2/5, 2
Let g be (-14)/(168/18)*4/(-8). Factor -g*s**2 + 1/4*s**3 + 0 + 1/2*s.
s*(s - 2)*(s - 1)/4
Let d be 16/(-6)*(-3)/(-4 + 5). Factor d*z**2 - 18*z**3 - 4*z**2 - 72*z + 16*z**3 + 20*z**2.
-2*z*(z - 6)**2
Let r(m) be the first derivative of 31 - 2/9*m**3 + 0*m + 1/6*m**2 + 1/12*m**4. Factor r(p).
p*(p - 1)**2/3
Suppose -2*g - 85 = -7*g - 5*u, -3*g = -3*u - 27. What is a in 18*a**3 - 7*a**4 - 3 + 0*a**5 - 70*a**2 + a**5 + 48*a**2 + g*a = 0?
1, 3
Factor 46/5 - 38/3*l - 2/15*l**3 + 18/5*l**2.
-2*(l - 23)*(l - 3)*(l - 1)/15
Let q(o) be the second derivative of 0*o**2 - 7*o + 0 + 7/6*o**3 - 1/840*o**6 + 3/140*o**5 - 9/56*o**4. Let i(m) be the second derivative of q(m). Factor i(g).
-3*(g - 3)**2/7
Let g = -49 + 39. Let p(b) = 2*b**2 + 19*b - 5. Let k be p(g). Solve 0 - 8/7*t**2 - 2/7*t - 2/7*t**k - 8/7*t**4 - 12/7*t**3 = 0 for t.
-1, 0
Suppose -6*g + 19 - 1 = 0. Let y be g - ((-24)/(-36))/((-4)/(-6)). Factor 0*b + 0 - 1/4*b**y.
-b**2/4
Let f(t) = -t - 4. Let s be f(-3). Let q(i) = -24*i + 1. Let r be q(s). Determine p, given that -2*p**3 + 37*p**4 + 14*p**3 + 4*p**2 + 4*p**5 - r*p**4 = 0.
-1, 0
Let j(g) = -3*g + 1. Let l(q) = 8*q - 3. Let t(k) = -3*j(k) - l(k). Let u = 0 + 1. Let o(v) = -15*v**2 + 10*v. Let r(m) = u*o(m) - 5*t(m). Factor r(c).
-5*c*(3*c - 1)
Let h(v) be the first derivative of 5/18*v**3 + 24 + 1/6*v**2 - 1/6*v**5 + 0*v - 1/12*v**4. Factor h(u).
-u*(u - 1)*(u + 1)*(5*u + 2)/6
Let v(h) be the second derivative of h**7/28 + h**6/10 - 9*h**5/40 - 630*h. Let v(f) = 0. Calculate f.
-3, 0, 1
Let c(s) be the first derivative of 0*s + 4/9*s**3 - 19 - 8/15*s**5 + 0*s**2 + 7/6*s**4. Suppose c(d) = 0. What is d?
-1/4, 0, 2
Let p(z) be the first derivative of 2*z**4 + 14*z**3 + 21*z**2 + 8*z + 114. Solve p(i) = 0.
-4, -1, -1/4
Let l(k) = 3*k**5 + 5*k**4 - k**3 - 14*k**2 + 7*k. Let m(v) = 2*v**5 + 2*v**4 - 8*v**2 + 4*v. Let i(x) = 4*l(x) - 7*m(x). Suppose i(t) = 0. What is t?
0, 1, 2
Let l(q) be the third derivative of 0 + 0*q + 1/12*q**4 - 1/20*q**5 + 0*q**3 - 1/15*q**6 - 1/70*q**7 + q**2. Let l(g) = 0. What is g?
-2, -1, 0, 1/3
Let z(g) = 3*g**5 + 26*g**4 + 33*g**3 + 30*g**2 + 2*g - 6. Let s(x) = x**4 - x**3 - x - 1. Let p = 4 - 10. Let i(w) = p*s(w) + z(w). Let i(f) = 0. Calculate f.
-4, -1, -2/3, 0
Let r = 3768 - 3764. Factor 0 + 0*i**2 - 2/9*i**5 - 4/9*i**r + 0*i - 2/9*i**3.
-2*i**3*(i + 1)**2/9
Let c(g) be the second derivative of 4*g**6/5 + 11*g**5/2 + 29*g**4/6 + 4*g**3/3 + 85*g. Suppose c(o) = 0. What is o?
-4, -1/3, -1/4, 0
Find u such that -327*u**2 + 643*u**2 - 318*u**2 = 0.
0
Let n(f) be the second derivative of f**4/42 - f**3/7 - 10*f**2/7 + 6*f. Solve n(p) = 0.
-2, 5
What is m in -210/17*m + 36/17 + 46/17*m**3 - 44/17*m**2 + 12/17*m**4 = 0?
-3, 1/6, 2
Let u(w) be the second derivative of -w**4/60 - 6*w**3/5 - 34*w**2/5 + 793*w. Solve u(f) = 0 for f.
-34, -2
Let r(v) be the second derivative of 1/210*v**5 - 1/63*v**3 + 0 - 1/21*v**2 + 1/126*v**4 - 13*v. Solve r(q) = 0 for q.
-1, 1
Let g(k) = k**3 + 3*k**2 - 10*k - 7. Let v be g(-5). Let m be (0 - 3)/(-8 - v). Solve 0*f + 2/5*f**m + 0 + 2/5*f**2 = 0.
-1, 0
Let m = -1483 - -2971/2. Find k, given that -2*k**4 + 5/2*k - m*k**3 + 1/2 + 3/2*k**2 = 0.
-1, -1/4, 1
Let l be (-15270)/50 + 7 - (0 - 2). Let n = 298 + l. Find p such that -2/5*p**2 - n*p - 8/5 = 0.
-2
Suppose -11*m + 15*m = -56. Let q be (-13)/26*m/3. Factor 4/3*u + q*u**3 + 0 - 16/3*u**2.
u*(u - 2)*(7*u - 2)/3
What is i in -1/2*i**2 + 8*i - 32 = 0?
8
Let n(z) be the third derivative of -z**8/336 + z**6/60 - z**4/24 - 86*z**2. Find s, given that n(s) = 0.
-1, 0, 1
Suppose -2*n - p = 2, 4*n + 3*p - 3 = -9. Let -4/5*b - 7/5*b**3 + 16/5*b**2 + n = 0. Calculate b.
0, 2/7, 2
Let p(c) = -11*c - 13. Let g(r) = -4*r - 4. Let d(v) = 8*g(v) - 3*p(v). Let m be d(-4). Factor -4*n + 4*n**2 - m*n**2 + 4 - 2 + n**2.
2*(n - 1)**2
Let b be 10/((2 - -4)*1). Let a be 189/252 - (-2 - 23/(-4))/9. What is j in a*j**3 - 5/3*j**2 - 1/3*j + 0 + b*j**4 = 0?
-1, -1/5, 0, 1
Let i(m) be the third derivative of -m**6/144 + m**5/16 + 5*m**4/12 + 5*m**3/2 - 15*m**2. Let t(o) be the first derivative of i(o). Factor t(s).
-5*(s - 4)*(s + 1)/2
Let f(s) be the first derivative of -1/12*s**4 + 12 + 0*s + 2/9*s**3 + 0*s**2 - 1/15*s**5. Suppose f(a) = 0. Calculate a.
-2, 0, 1
Let o(y) be the third derivative of -2*y**7/21 - 23*y**6/30 + 8*y**5/3 - 2*y**4 - 9*y**2. Factor o(t).
-4*t*(t - 1)*(t + 6)*(5*t - 2)
Factor 3*x + 1/2*x**2 + 9/2.
(x + 3)**2/2
Suppose 3*b - w - 6 = 0, -w = b + 4*b - 2. Let y be b + -3 + 0 + 2. Factor -3*z**3 + y*z**3 + 27 + 2*z**3 + 8*z**2 - 27*z + z**2.
-(z - 3)**3
Let b(g) be the third derivative of g**6/40 + 29*g**5/20 + 13*g**4/4 - 28*g**3 - 449*g**2. Factor b(u).
3*(u - 1)*(u + 2)*(u + 28)
Let a(x) be the second derivative of 1/189*x**7 - 5*x + 1/45*x**6 + 0 - 1/27*x**4 + 1/45*x**5 - 1/9*x**2 - 1/9*x**3. What is z in a(z) = 0?
-1, 1
Let z(q) be the second derivative of -q**6/315 - q**5/70 + 4*q**3/63 - 5*q + 7. Suppose z(h) = 0. What is h?
-2, 0, 1
Let j(l) = -l**3 + 66*l**2 + 275*l + 352. Let x be j(70). Solve -12/7*b - 2/7*b**x - 10/7 = 0 for b.
-5, -1
Factor 3/2*k**4 - 6*k + 3/2*k**3 - 6*k**2 + 0.
3*k*(k - 2)*(k + 1)*(k + 2)/2
Factor -6*m**5 + 20/3*m