15 + 136*d**3/15 + 2312*d**2/5 - 2*d + 11. Factor n(m).
4*(m + 34)**2/5
Let a = -78597/2 - -39306. Let -8*c**2 + a*c**3 + 2*c - 5/2*c**5 + 0 + c**4 = 0. Calculate c.
-2, 0, 2/5, 1
Suppose 59 = -4*p - 3*b, -b - 24 = 2*p - 5*b. Let o be ((-24)/p)/((-27)/(-126)). Factor 9*y**2 - 11*y**2 + o + 4*y**2 + 10*y.
2*(y + 1)*(y + 4)
Let a = 75770/3 - 25254. Find p, given that -1/3*p**3 + 2*p - a + p**2 = 0.
-2, 1, 4
Let c(i) = i**3 - 15*i**2 - 18*i - 32. Let v be c(16). Let k be 2/7 - v/16. Determine x, given that 18/7*x**3 + 2*x - 2/7 - k*x**2 = 0.
1/3, 1
Let f(q) be the third derivative of q**5/20 - 37*q**4/8 - 374*q**2. Suppose f(z) = 0. What is z?
0, 37
Let n(d) be the second derivative of -d**8/10080 + d**6/1080 - 31*d**4/12 - 8*d. Let v(f) be the third derivative of n(f). What is g in v(g) = 0?
-1, 0, 1
Let n(s) be the third derivative of -5*s**8/3 + 236*s**7/21 - 141*s**6/8 + 17*s**5/6 + 175*s**4/24 - 5*s**3 - 193*s**2. Solve n(r) = 0 for r.
-2/7, 1/4, 1, 3
Let v(h) be the second derivative of -1/9*h**4 + 1/3*h**3 + 1/90*h**5 - 19*h + 0 + 0*h**2. Factor v(s).
2*s*(s - 3)**2/9
Let g = -764 - -766. Let r(f) be the third derivative of 8*f**g + 0 + 0*f + 3/8*f**4 + 1/20*f**5 + f**3. Suppose r(x) = 0. Calculate x.
-2, -1
Let m(i) = -20*i**3 + 20*i. Let g(q) = 7*q**3 - 7*q. Let p = 3 - 3. Suppose p = -5*s + 21 - 76. Let v(z) = s*g(z) - 4*m(z). Factor v(f).
3*f*(f - 1)*(f + 1)
Find a, given that 178*a + 768 + 346*a - 8*a**3 + 3*a**4 - 13*a**3 + 52*a - 15*a**3 + 12*a**2 = 0.
-2, 8
Let h(f) be the second derivative of 2*f**2 - 10*f - 1/3*f**4 + 0 + 0*f**3. Let h(q) = 0. Calculate q.
-1, 1
Let y(k) = -k**4 - k**3 - k**2 - k - 1. Let j(r) = -3*r**4 + 9*r**3 + 18*r**2 + 6*r - 6. Let d(b) = j(b) - 6*y(b). Find q such that d(q) = 0.
-2, -1, 0
Suppose 44*p - 2*p - 6*p = -19*p. Determine w so that -29/4*w**3 + p + w**2 + 21/4*w**4 + w = 0.
-2/7, 0, 2/3, 1
Let m(n) be the second derivative of n**4/3 + 64*n**3/3 + 512*n**2 - 2*n + 20. Factor m(d).
4*(d + 16)**2
Let b(t) be the third derivative of t**6/72 + t**5/12 - 5*t**4/18 - 10*t**3/3 - 349*t**2. Factor b(j).
5*(j - 2)*(j + 2)*(j + 3)/3
Let r(x) be the first derivative of -x**2/2 + 9*x + 3. Let a be r(5). Determine m so that 5*m**2 + a*m - 3*m**2 - 2*m = 0.
-1, 0
Let n = -6 + 6. Suppose n = 5*f - 13 - 2. Factor 4 + 1 + 1 - 3*k**2 + f*k.
-3*(k - 2)*(k + 1)
Let l(u) be the third derivative of u**7/1470 + 3*u**6/280 + 9*u**5/140 + 31*u**4/168 + 2*u**3/7 - 305*u**2. Factor l(w).
(w + 1)**2*(w + 3)*(w + 4)/7
Suppose -23 = -4*f + 13. Suppose -f*j + 64 = -44. Factor 13 - 25 - j*r - 2*r**2 + 11*r**2.
3*(r - 2)*(3*r + 2)
Let s(m) be the first derivative of m**5/10 + 9*m**4/2 - 37*m**3/6 - 455. Let s(n) = 0. What is n?
-37, 0, 1
Suppose 3*b - 3 + 15 = i, 3*b = 5*i. Let q be (i/(-14))/(4*(-9)/(-42)). Factor 0 + 0*r + q*r**2.
r**2/4
Let f = -32 - -36. Let 4*p**f - 12*p - 9*p**2 - 20*p**3 + 2 - 2 + 37*p**2 = 0. Calculate p.
0, 1, 3
Let g(v) be the second derivative of -3*v**5/40 - 11*v**4/4 + 25*v**3 - 78*v**2 + 753*v. Factor g(s).
-3*(s - 2)**2*(s + 26)/2
Let u = 62 - 56. Suppose -26 + 2*l**2 - 3 - 1 - 8*l + u = 0. Calculate l.
-2, 6
Let r(a) be the first derivative of 8*a**2 - 12 - a**3 - 2 - 12 - 2*a**2. Factor r(w).
-3*w*(w - 4)
Let r be (2 - (2 - -1))/((-1)/2). Let a be 0/(6/(-2) + 0). Let a*l + 2/7*l**3 + 2/7*l**4 + 0 + 0*l**r = 0. What is l?
-1, 0
Let w be 2/(-5) + (-24)/(-10). Solve 30 - 90*x**2 + 11*x - 46*x + 95*x**w = 0.
1, 6
Let l be -3 - (-2705)/300 - 6. Let d(w) be the third derivative of 0*w**4 + 0*w**3 + 0*w - 2*w**2 + 0 + 1/120*w**6 - l*w**5. Factor d(g).
g**2*(g - 1)
Let q(s) be the first derivative of 1/2*s**3 + 15/4*s**2 - 10 + 6*s. Factor q(z).
3*(z + 1)*(z + 4)/2
Let c(f) be the second derivative of 0*f**2 + 2/39*f**3 + f + 0 + 1/78*f**4. Let c(h) = 0. What is h?
-2, 0
Let k(j) be the third derivative of j**6/120 - 3*j**5/20 + 5*j**4/8 - 7*j**3/6 - 4*j**2 + 1. Solve k(i) = 0 for i.
1, 7
Let z(o) be the first derivative of o**6/2 + 12*o**5/5 + 15*o**4/4 + 2*o**3 + 22. Determine t, given that z(t) = 0.
-2, -1, 0
Let n(d) = -d + 9. Let j be n(7). Let h = 30818/3 + -10272. Factor -h*y**j - 4*y - 6.
-2*(y + 3)**2/3
Suppose 0 = -5*d + 3*w + 2*w + 45, -3*w + 28 = 2*d. Let -14*k + 6*k**5 + 0*k**5 - 2*k**3 + d*k - 9*k**2 + 9*k**4 - k**3 = 0. What is k?
-1, -1/2, 0, 1
Let m(i) be the second derivative of 0*i**2 + 3*i + 1/30*i**5 - 1/9*i**4 + 0 + 0*i**3. Determine b, given that m(b) = 0.
0, 2
Let m = 19592/3 + -6345. Let o = 187 - m. Suppose -o*r**2 + 4/3 + 2/3*r - 2/3*r**3 = 0. What is r?
-2, -1, 1
Let n(s) be the third derivative of s**9/15120 - s**8/560 + 3*s**7/140 - 3*s**6/20 - 11*s**5/60 - 9*s**2. Let j(w) be the third derivative of n(w). Factor j(l).
4*(l - 3)**3
Suppose 0 = 9*h - 55 + 1. Suppose -9 = -h*r + 3. Find x such that 27/4*x**3 - 33/4*x + 3/2 + 9*x**r = 0.
-2, 1/3
Let l be -3 + 2*3 + 0/35. Suppose -3*b + 3*a + 12 = -0*b, 2*a = -2*b + 12. Let -l*g**5 + 6*g**5 + 3*g**b - 4*g**4 - 4*g**5 = 0. What is g?
0, 2
Let a be (66/(-10) - -5)/((-4)/30). Factor 3*p**3 - a*p**3 - p**2 + 5*p**3 - 3*p**4.
-p**2*(p + 1)*(3*p + 1)
Suppose -11*z + 45 + 483 = 0. Factor z*h**2 + 12*h + 4*h**4 + 10 + h + 2 + 27*h + 24*h**3.
4*(h + 1)**3*(h + 3)
Let j be 6/4 - (-91)/182. Let q(r) be the first derivative of 6*r - 2/3*r**4 - 16/9*r**3 - 7 + r**j. Factor q(d).
-2*(d - 1)*(2*d + 3)**2/3
Let w be ((-8)/(-6))/4 + (-3)/9. Suppose -4 = -3*f + 5*f, 2*n - 2*f - 10 = 0. Factor -6/5*d - 9/5*d**2 - 3/5*d**n + w.
-3*d*(d + 1)*(d + 2)/5
Let i be (28/504)/(5/20). Let i*n**3 + 8/9*n**2 - 8/9 - 2/9*n = 0. Calculate n.
-4, -1, 1
Let h(r) = -r**3 - 4*r**2 - 4*r - 1. Let v be h(-3). Let l be (2 - 12/(-9))/(24/36). Solve -2*p**2 + v*p - 2*p**3 + 8 - l*p + 11*p = 0 for p.
-2, -1, 2
Let r(u) = -2*u**2 - 18*u + 11. Let o be r(-9). Factor -14 - o - 3*t**2 + 15*t + 7.
-3*(t - 3)*(t - 2)
Let r be ((-3420)/27)/(-38) + (-4)/30. Find l such that r*l + 2/5*l**4 - 228/5*l**3 + 0 - 8/5*l**2 + 56/5*l**5 = 0.
-2, -2/7, 0, 1/4, 2
Let k(p) = 3*p**3 + 6*p**2 - 6*p. Let s be ((-8)/(-4))/(6/9). Let o(z) = z**3 - z**3 - 6*z + 6*z**3 + 5*z**2 - 3*z**s. Let a(r) = -2*k(r) + 3*o(r). Factor a(x).
3*x*(x - 1)*(x + 2)
Let i(k) be the second derivative of 2*k**6/15 + 7*k**5/5 - k**4/3 - 14*k**3/3 - k + 89. Determine p, given that i(p) = 0.
-7, -1, 0, 1
Let y be (-213)/18 - 4/24. Let g = -9 - y. Determine x so that 6*x**2 + 2*x**3 + 5*x**3 - 6*x - 4 - x**g + 2*x**4 - 4*x**2 = 0.
-2, -1, 1
Let v(a) be the third derivative of -a**5/20 + a**4/2 + 59*a**2 - 1. Determine i so that v(i) = 0.
0, 4
Suppose -20*o = 28*o - 144. Suppose 0*n**o + 5/2*n**2 + 0*n - 5/2*n**4 + 0 = 0. What is n?
-1, 0, 1
Let u(c) be the first derivative of -8*c - 20 + 6*c**2 - 4/3*c**3. Factor u(p).
-4*(p - 2)*(p - 1)
Determine f so that -197*f**3 - 12*f**4 - 217*f**3 + 48*f**2 + 4*f**5 + 64*f + 382*f**3 = 0.
-2, -1, 0, 2, 4
Let -3/2*o**5 + 9/2*o**3 + 6*o - 12*o**2 + 0 + 3*o**4 = 0. What is o?
-2, 0, 1, 2
Let m be -9*(-3)/63 + (-1)/35. Factor -2/5*u**3 + 8/5 + m*u - 8/5*u**2.
-2*(u - 1)*(u + 1)*(u + 4)/5
Let g(s) be the second derivative of -s + 0 - 9/8*s**2 - 1/4*s**3 + 1/16*s**4. Determine i, given that g(i) = 0.
-1, 3
Let f(b) = -b**3 + 5*b**2 + 2*b - 22. Let o be f(4). Let m be (-72)/(-8) + 6/o. Factor -m + 30*k + 21/2*k**3 + 39*k**2.
3*(k + 2)**2*(7*k - 2)/2
Let t(n) be the second derivative of n**10/6048 - n**9/1008 + n**7/126 + 5*n**4/4 - 15*n. Let f(w) be the third derivative of t(w). Find z, given that f(z) = 0.
-1, 0, 2
Let v(j) be the first derivative of -3/2*j**4 + 6 + 30*j**2 + 7*j**3 + 36*j - 3/5*j**5. Factor v(f).
-3*(f - 3)*(f + 1)*(f + 2)**2
Let s(a) be the second derivative of 16*a + 6/13*a**2 - 1/78*a**4 + 0 + 5/39*a**3. Determine m so that s(m) = 0.
-1, 6
Let z(q) = -2*q**2 + 17*q - 32. Let c be z(5). Find d, given that -2/11*d**4 - 6/11*d**2 - 2/11*d + 0 - 6/11*d**c = 0.
-1, 0
Let h(k) = -k**3 + 9*k + 2. Let m(g) = -3*g**3 - 9*g**2 + 15*g + 57. Let p(j) = 6*h(j) - m(j). Factor p(u).
-3*(u - 5)*(u - 1)*(u + 3)
Suppose -2*k - 64*u + 8 = -66*u, 5*k - 20 = 2*u. Let l(o) be the second derivative of -4/27*o**4 + 0 + k*o - 2/9*o**2 - 1/30*o**5 - 7/27*o**3. Factor l(b).
-2*(b + 1)**2*(3*b + 2)/9
Let c = 46 - -3. Let p be (-50)/(-14) + (-28)/c. Factor -4*f**2 + 22*f**3 - 44*f**p + 24*f