o + 3)*(o + 13)/2
Let d(p) be the first derivative of -2*p**3/11 - 18*p**2/11 + 96*p/11 + 112. Determine q, given that d(q) = 0.
-8, 2
Let k be 9/(-18) - 1/(-1). Let v(x) = 15*x + 422. Let a be v(-28). Factor -1/4 - k*z - 1/4*z**a.
-(z + 1)**2/4
Let m(z) be the second derivative of -z**7/56 + z**6/40 + 3*z**5/16 - z**4/16 - z**3 - 3*z**2/2 - 4*z + 10. What is l in m(l) = 0?
-1, 2
Let -927*z**2 - 10 + 26*z**2 - 44*z**5 - 177*z + 1 - 105*z**2 - 1342*z**3 - 585*z**4 - 37*z**5 = 0. Calculate z.
-3, -1, -1/9
Let z(q) be the first derivative of -q**4 + 80*q**3/3 - 266*q**2 + 1176*q + 13. Factor z(d).
-4*(d - 7)**2*(d - 6)
Let d(j) = j**3 - 7*j**2 + j - 3. Let f be d(7). Suppose 0 = -f*t + 8*t - 8. Suppose 2*s**t + 2*s**2 + 3*s - 16*s**2 - 2*s**4 - 4*s**4 + 15*s**3 = 0. What is s?
0, 1/2, 1
Factor 37*m**2 + 160 + 4*m**4 + 85*m**2 + 207*m + 46*m**2 + 65*m + 44*m**3.
4*(m + 2)**3*(m + 5)
Suppose 0 = -0*a + 2*a - 4. Suppose 9 = z + 3*p - 4, -2*z = 3*p - 17. Factor 6*h**z + 9*h + 12*h**a - 3*h**5 + 4*h**2 + 14*h**3 + 3 + 4*h**5 - 1.
(h + 1)**4*(h + 2)
Let x(c) = -c**3 - 2*c**2 + 7*c + 5. Let a be x(-4). Let i(m) = m**2 - 8*m - 5. Let j be i(a). Factor j*o - 1 + 2 + 0*o**2 - 2*o + o**2.
(o + 1)**2
Let u(j) be the first derivative of -j**4/8 + j**3 - 14*j - 13. Let c(l) be the first derivative of u(l). Factor c(p).
-3*p*(p - 4)/2
Let g(d) = 18*d - 194. Let t be g(11). Let f(x) be the first derivative of 7 - 5/2*x**3 + 15/8*x**t + 1/8*x**6 + 15/8*x**2 - 3/4*x**5 - 3/4*x. Factor f(j).
3*(j - 1)**5/4
Suppose 4*y = r - 8, -3*y - 2*r - 8 + 2 = 0. Let h be 0 + y - 20/(-2). Factor -9*n - 3*n - h*n**3 - 30*n**2 - 4*n + 6.
-2*(n + 1)*(n + 3)*(4*n - 1)
Let j(b) = 13*b + 87. Let n be j(-7). Let x be ((-190)/(-45) + -4)/(n/(-24)). What is u in 4/3*u - 1/3*u**2 - x = 0?
2
Let v(y) be the second derivative of y**6/90 - 7*y**5/60 + y**4/6 + 14*y**3/9 - 20*y**2/3 + 7*y. Find q such that v(q) = 0.
-2, 2, 5
Let d be 4/(-4)*(-5 - -2). Solve -12*o**2 - 8*o - 5*o**3 + 0*o**d + 5*o**3 - 4*o**3 = 0.
-2, -1, 0
Let m(h) be the third derivative of h**6/40 - 117*h**5/20 + 4563*h**4/8 - 59319*h**3/2 + 90*h**2. Factor m(z).
3*(z - 39)**3
Let s(w) be the first derivative of 4/7*w - 1/3*w**2 + 24 + 2/63*w**3. Let s(v) = 0. What is v?
1, 6
Suppose -210*f**2 + 15*f**2 - 2075*f - 3*f**3 - 994*f + 3267 = 0. Calculate f.
-33, 1
Suppose -k = -2*k + 4. Suppose k*f = 2*f + 4. Determine n so that -3*n + 0*n + n + 6*n**f + n = 0.
0, 1/6
Let t(y) be the second derivative of 3*y**5/40 - 3*y**4/4 - y**3/4 + 9*y**2/2 + 267*y. Let t(x) = 0. Calculate x.
-1, 1, 6
Let a(u) be the first derivative of -15*u**4/2 + 4*u**3/9 + 8*u**2/3 + 195. Factor a(j).
-2*j*(5*j + 2)*(9*j - 4)/3
Let b(j) = 26*j**3 + 30*j**2 - 49*j - 131. Let q(f) = 5*f**3 + 6*f**2 - 10*f - 26. Let v(u) = 2*b(u) - 11*q(u). Solve v(m) = 0 for m.
-2, 2
Let p(v) be the second derivative of v**3/2 + 13*v**2/2 + 2*v - 11. Let w be p(-3). What is y in 15/4*y**2 + 0 - 3/4*y**w - 3/4*y**3 - 9/4*y = 0?
-3, 0, 1
Let a(g) be the second derivative of 1/12*g**4 - 15*g + 0 - 1/3*g**3 - 3/2*g**2. Suppose a(v) = 0. What is v?
-1, 3
Let j(w) be the third derivative of 1/20*w**5 + 0*w**4 + 1/10*w**6 + 0*w**3 + w**2 - 6*w + 0. Solve j(h) = 0.
-1/4, 0
Let z be ((-1)/(-3))/((-180)/135)*(-8)/5. Factor -z*r**5 + 0*r**3 + 0 - 4/5*r**2 + 2/5*r + 4/5*r**4.
-2*r*(r - 1)**3*(r + 1)/5
Let c(a) = a**2 - 535*a - 69. Let g(b) = -2*b**2 + 534*b + 92. Let l(n) = -4*c(n) - 3*g(n). Find h, given that l(h) = 0.
-269, 0
Let v(g) be the first derivative of -6*g**6/7 - 8*g**5/5 - g**4/7 + 16*g**3/21 - 157. Solve v(o) = 0.
-1, 0, 4/9
Let y(d) be the third derivative of d**5/21 + 3*d**4/28 - d**3/21 - 284*d**2 - d. Factor y(v).
2*(v + 1)*(10*v - 1)/7
Let u(t) be the first derivative of t**4/20 - 23*t**3/15 - 64. Factor u(p).
p**2*(p - 23)/5
Let j be 32/18 + (2 - 80/45). Suppose 0*d + d = -5*v + 22, 5*v + 2*d - 24 = 0. Let -21/4*o**j + 21/4*o**v + 0 + 3/2*o - 3/2*o**3 = 0. Calculate o.
-1, 0, 2/7, 1
Let w = -2191 + 2191. Let l(p) be the first derivative of -2/15*p**3 + 2/5*p**2 + 7 + w*p. Factor l(m).
-2*m*(m - 2)/5
Let p(k) be the third derivative of k**10/37800 - k**9/7560 + k**7/630 - k**6/180 - k**5/15 - k**2. Let f(o) be the third derivative of p(o). Factor f(w).
4*(w - 1)**3*(w + 1)
Let b(x) be the second derivative of 1/360*x**6 + 0 + 2/3*x**4 + 7/6*x**3 + 1/15*x**5 + 0*x**2 - 11*x. Let t(g) be the second derivative of b(g). Factor t(n).
(n + 4)**2
Let j(w) be the third derivative of -w**7/210 - w**6/30 - w**5/12 - w**4/12 + 83*w**2. Find b such that j(b) = 0.
-2, -1, 0
Factor 17257*z**3 - z**4 - 4*z**2 - 17263*z**3 - 5*z**2.
-z**2*(z + 3)**2
Suppose 15 = -d - 4*h, -4*h - 19 = 2*d - 7*h. Let i(b) = -b**2 - 12*b - 4. Let j be i(d). Factor 2*l**2 - 2*l - j + 3 + 0*l.
2*(l - 2)*(l + 1)
Let x(l) be the second derivative of 2/21*l**7 + 2/3*l**4 + 0 + 9*l + 0*l**3 - 4/15*l**6 + 0*l**2 - 1/5*l**5. Factor x(a).
4*a**2*(a - 2)*(a - 1)*(a + 1)
Factor 3/7*n**5 - 24/7*n**2 + 6/7*n**4 - 6/7 - 6/7*n**3 - 3*n.
3*(n - 2)*(n + 1)**4/7
Let m(v) be the second derivative of -3/2*v**5 - 32*v + 16*v**2 + 0 + 40/3*v**3 + 13/6*v**4 + 3/20*v**6. Suppose m(r) = 0. Calculate r.
-2/3, 4
Suppose 12/5 + 44/5*n**2 - 46/5*n - 2*n**3 = 0. Calculate n.
2/5, 1, 3
Let g be (20/6)/(35/882). Suppose -79*m = -g*m. Solve 5/3*v**5 + m*v**2 - 10/3*v**4 + 5/3*v**3 + 0 + 0*v = 0.
0, 1
Suppose 5*y - y = 20. Solve -6*m + 3*m - 8*m**3 + 14*m**y + 24*m**4 - 28*m**2 - 3*m + 4 = 0.
-1, 2/7, 1
Let g be 513/39 - 494/38. Let -8/13*m**2 - 2/13*m + 12/13 - g*m**3 = 0. Calculate m.
-3, -2, 1
Let m(k) be the second derivative of k**7/21 - 7*k**6/15 + 3*k**5/2 - 3*k**4/2 + 33*k - 1. Find j, given that m(j) = 0.
0, 1, 3
Find g such that 0 - 2/7*g**2 + 94/7*g = 0.
0, 47
Let v(o) be the third derivative of -o**5/100 + 3*o**4/20 + 7*o**3/10 + 4*o**2 - 131. Let v(d) = 0. What is d?
-1, 7
Let j be (-60)/(36/(-64)*4). Suppose 2*m**3 - 32/3 + 46/3*m**2 + j*m = 0. Calculate m.
-4, 1/3
Let d = 15 - 15. Find i such that i**3 + 512 + d*i**3 + 24*i**2 + 57*i + 176*i - 41*i = 0.
-8
Suppose -2*i = 4*k - 34, -i = i - 10. Suppose -2*h - u = -5, 0 = h + 3*u + k - 1. What is x in -3*x**3 - x**4 + 5*x**3 + 3*x**h = 0?
-1, 0
Let y = 1504 + -3005/2. Factor 12*o - 21/2 - y*o**2.
-3*(o - 7)*(o - 1)/2
Let q be (-225)/(-24) + -3 - 6. Let v(u) be the first derivative of 0*u**2 + 2 + 1/3*u**3 - q*u**4 + 1/10*u**5 + 0*u. Factor v(z).
z**2*(z - 2)*(z - 1)/2
Suppose 4 = 2*d - 2. Factor d*n**4 + 1 - 6*n**2 + n**2 + n**4 + 3*n**3 - 3*n.
(n - 1)*(n + 1)**2*(4*n - 1)
Factor -21608/5*g - 21316/5 - 1/5*g**3 - 293/5*g**2.
-(g + 1)*(g + 146)**2/5
Let o(n) be the first derivative of -5*n**4/16 + 15*n**3 - 345*n**2/8 + 85*n/2 + 123. Solve o(g) = 0.
1, 34
Let p(b) = -17*b**5 - b**4 - 16*b**2 + 13*b + 13. Let u(g) = 4*g**5 + 4*g**2 - 3*g - 3. Let d(n) = 6*p(n) + 26*u(n). Let d(a) = 0. Calculate a.
-1, 0, 2
Let -64/5*f + 2/5*f**3 + 2/5*f**2 - 24 = 0. Calculate f.
-5, -2, 6
Let r(b) = 1 - 68*b**2 - 10*b - 3 - 6*b**2. Let o(v) = 147*v**2 + 21*v + 5. Let j(z) = -2*o(z) - 5*r(z). Factor j(i).
4*i*(19*i + 2)
Factor 0 + 2/13*a**2 + 10/13*a.
2*a*(a + 5)/13
Find i, given that 418*i + 65 + 392*i - 974*i + 398*i + 114*i**2 + 53 - 2*i**3 = 0.
-1, 59
Let b be (-9 + (-140)/(-15))/((-5)/(-18)). Let x(d) = d**2 + 4*d - 2. Let f be x(-5). Factor 3/5*q**2 + b*q**f - 3/5 - 6/5*q.
3*(q - 1)*(q + 1)*(2*q + 1)/5
Let k(q) be the second derivative of 5/13*q**3 + 0 + 2/13*q**5 + 11/26*q**4 + 2/13*q**2 + 2*q. Let k(h) = 0. Calculate h.
-1, -2/5, -1/4
Let f(s) = -s**3 - 2*s**2 + 2*s - 2. Let n be f(-4). Suppose -5*l = 2*r - n, 2*l + 3*r + 0 = 11. Factor -2*t**4 + 5*t**4 + t**4 - 3*t**2 - t**l.
3*t**2*(t - 1)*(t + 1)
Factor -4/3 + 1/3*q**2 - q.
(q - 4)*(q + 1)/3
Let a(m) be the second derivative of 3*m**5/20 + 453*m**4/4 + 68403*m**3/2 + 10328853*m**2/2 + 730*m. Solve a(f) = 0 for f.
-151
Let q = 275 - 275. Let o(k) be the second derivative of 1/6*k**7 - 8/15*k**6 + 4*k + 0*k**3 + 0 + q*k**2 + 11/20*k**5 - 1/6*k**4. Suppose o(w) = 0. Calculate w.
0, 2/7, 1
Suppose 0 = -5*c + 11 - 1. Find l such that c*l**3 - 106 + 67*l + 24*l**2 + 29*l + 234 = 0.
-4
Let g(b) be the second derivative of -b**5/50 + 9*b**4/10 - 917*b. Factor g(z).
-2*z**2*(z - 27)/5
Let h(f) be the second derivative of -9/110*f**5 