 34*s/7 + 170. Find q, given that o(q) = 0.
-34, -1/4
Let x(u) be the second derivative of -u**4/30 - 11*u**3/15 + 26*u**2/5 - 59*u. Find l, given that x(l) = 0.
-13, 2
Let n(h) be the second derivative of 1/135*h**6 - 19*h - 1/30*h**5 + 0 + 0*h**2 + 0*h**4 + 4/27*h**3. Factor n(g).
2*g*(g - 2)**2*(g + 1)/9
Let j = 5/348 - -2/29. Let n(g) be the third derivative of 0*g - 4*g**2 + j*g**4 + 0 - 1/3*g**3 - 1/120*g**5. Suppose n(a) = 0. Calculate a.
2
Let i(u) = u**2 + u - 1. Let o be i(2). Find g such that -84 - 86 + o*g + 176 + g**2 = 0.
-3, -2
Suppose 0 + 24/11*t**2 - 36/11*t**4 - 62/11*t**3 + 8/11*t = 0. Calculate t.
-2, -2/9, 0, 1/2
Suppose -5*v = -5*p + 120, -3*p - 3*v + 52 = -2*v. Suppose -4*s - 3 + p = 0. What is k in 10/9*k**2 + 14/9*k**3 + 2/3*k**s + 0 + 2/9*k = 0?
-1, -1/3, 0
Let k(j) be the third derivative of 2*j**7/105 + j**6/10 + j**5/5 + j**4/6 + 330*j**2. Factor k(h).
4*h*(h + 1)**3
Factor 8 + 29 + s - 53 - 4*s**2 - 17*s.
-4*(s + 2)**2
Let p(l) be the first derivative of l**5/100 - l**4/15 + l**3/10 + 19*l - 26. Let g(s) be the first derivative of p(s). Factor g(w).
w*(w - 3)*(w - 1)/5
Let y(l) be the third derivative of -l**7/105 - l**6/10 + l**5/10 + 4*l**4/3 - 4*l**3 + 45*l**2 - l. Suppose y(v) = 0. What is v?
-6, -2, 1
Let y(k) = 2*k - 20. Let c be y(11). Solve b + 6 - b**c - 2*b**2 - 9 - 7*b = 0.
-1
Let h(u) = -u**3 + 5*u**2 + 6*u + 13. Let w be h(6). Find s such that -4 + 5*s**4 + 5*s**3 - 9 + w = 0.
-1, 0
Let b(n) be the first derivative of -n**4/4 + 7*n**3/3 + n**2/2 - 7*n + 13. Factor b(g).
-(g - 7)*(g - 1)*(g + 1)
Let x(g) = 3*g**3 + 8*g**2 + 11*g. Let r(t) = 7*t**3 + 14*t**2 + 22*t. Let b(o) = -2*r(o) + 5*x(o). Determine u so that b(u) = 0.
-11, -1, 0
Find v, given that 159*v**2 - 86*v**2 - 77*v**2 - 18496 + 544*v = 0.
68
Let k be 72/(-117)*104/(-16). Factor -1272/7*d**3 - 96/7 - 510/7*d**k - 1392/7*d**2 - 75/7*d**5 - 624/7*d.
-3*(d + 2)**3*(5*d + 2)**2/7
Let r(d) = -d**3 - 4*d**2 - 2*d - 6. Let b be r(-4). Let 5*k**b + 26*k - 5*k**4 - 64*k**3 + 49*k**3 - 11*k = 0. Calculate k.
-3, -1, 0, 1
Suppose -3*a + 12 = 3*a. Suppose 0*j + 2 = 3*p - a*j, 2*j = -2. Factor -2/5*r**2 + p*r + 0.
-2*r**2/5
Let o(r) = -26*r**4 - 22*r**3 + 16*r - 32. Let x(g) = 8*g**4 + 7*g**3 - 5*g + 10. Let b(s) = 5*o(s) + 16*x(s). What is t in b(t) = 0?
0, 1
Let p(y) = -y**2 - 3*y + 5. Let h be p(-4). Suppose -3*f + 7 - h = 0. Factor 4/9*k**f + 0 + 0*k + 2/9*k**3.
2*k**2*(k + 2)/9
Let 8*h**2 - 418 - 11*h**2 - 4*h + h**3 + 398 + 8*h**2 = 0. What is h?
-5, -2, 2
Suppose 0*q - 8/5*q**2 - 2/5*q**4 + 8/5*q**3 + 0 = 0. Calculate q.
0, 2
Let x(b) be the second derivative of 0 - 1/12*b**4 - 1/3*b**2 + 1/60*b**5 + 10*b + 1/90*b**6 - 5/18*b**3. Find q such that x(q) = 0.
-1, 2
Suppose -2*r - 4 = -4*r. Suppose -1 = -o, j - r*o = 3*j - 6. Factor -2 - k**2 - k**j - 7*k - 6 - k.
-2*(k + 2)**2
Suppose 4 - 3 - 10 - 35*a**2 - 15*a**3 - 25*a + 4 = 0. What is a?
-1, -1/3
Let i(r) be the third derivative of r**6/192 + r**5/30 + 13*r**4/192 + r**3/24 - 71*r**2. Factor i(q).
(q + 1)*(q + 2)*(5*q + 1)/8
Let w(n) be the second derivative of -n**5/10 + 5*n**4/6 + 12*n. Factor w(u).
-2*u**2*(u - 5)
Suppose 60 = 3*g + 12*g. Let i(k) be the first derivative of -7/5*k**5 - 5 - 8*k**2 - 1/6*k**6 - 25/3*k**3 - 4*k - 19/4*k**g. What is j in i(j) = 0?
-2, -1
Let b(z) be the third derivative of z**6/30 - 2*z**5/15 - z**4/6 + 4*z**3/3 - 15*z**2 + 2. Factor b(w).
4*(w - 2)*(w - 1)*(w + 1)
Let g be 2/6 - 91/21. Let w be (4/(-8))/(1/g). Suppose -j**w + 3*j + 0*j**2 - 2*j = 0. Calculate j.
0, 1
Let f be ((-79)/1896)/((-2)/24). Solve 1 - v**2 + f*v**3 - 1/2*v = 0.
-1, 1, 2
Let c(n) be the first derivative of 18*n**5/55 + 7*n**4/22 - 2*n**3/3 - 7*n**2/11 + 4*n/11 + 93. Determine f, given that c(f) = 0.
-1, 2/9, 1
Let f(v) be the first derivative of -v**4/4 - 4*v**3/3 - v**2/2 + 6*v - 144. Factor f(s).
-(s - 1)*(s + 2)*(s + 3)
Let a(i) be the second derivative of -i**4/6 - 91*i**3/3 + 32*i + 1. Solve a(v) = 0 for v.
-91, 0
Solve -34/13 + 128/13*q**4 - 1608/13*q**2 - 160*q**3 - 406/13*q = 0.
-1/4, 17
Let q(p) be the second derivative of 1/21*p**3 + 0 + p + 1/42*p**4 + 0*p**2. Factor q(c).
2*c*(c + 1)/7
Let w = -70 - -74. Factor -5*i**5 - 8*i**w - 14*i**4 - 15*i**3 - i**2 + 7*i**4 - 4*i**2.
-5*i**2*(i + 1)**3
Let s(m) be the second derivative of m**4/54 - 46*m**3/27 + 529*m**2/9 + 3*m + 11. Factor s(k).
2*(k - 23)**2/9
Factor 12*k**3 - 2*k**3 - 5*k**3 - 110*k**4 + 40*k + 50*k**2 + 105*k**4 + 0*k**3.
-5*k*(k - 4)*(k + 1)*(k + 2)
Let x be (-201)/67*(-2*1)/2. Let d(o) be the second derivative of -1/20*o**4 + o - 3/10*o**2 + 0 - 1/5*o**x. Factor d(p).
-3*(p + 1)**2/5
Let 5/2*i + 7/2*i**3 + 0 + 11/2*i**2 + 1/2*i**4 = 0. Calculate i.
-5, -1, 0
Let x(n) be the first derivative of -n**3 + 9*n**2 - 24*n - 39. Factor x(k).
-3*(k - 4)*(k - 2)
Let j be (-549 - -543) + (9 - 0). Factor 3/4*g**j - 9/4*g**2 + 1/4*g**4 - 27/4*g + 0.
g*(g - 3)*(g + 3)**2/4
Let r(d) be the first derivative of d**6/30 + 2*d**5/5 + 2*d**4 + 16*d**3/3 + 11*d**2/2 - 12. Let c(j) be the second derivative of r(j). Factor c(l).
4*(l + 2)**3
Let u = 301 - 1813/6. Let j = 3/2 + u. Determine o, given that -1/3 + j*o**2 + 0*o = 0.
-1, 1
Solve -72*s**3 + 72/7*s - 240/7*s**4 + 12/7 - 15/7*s**2 = 0 for s.
-2, -1/4, 2/5
Let w be -2*(-88)/32 + (-2 - -1). Let u(c) be the first derivative of -w*c - 2 - 3/4*c**2 + 5/6*c**3 - 1/8*c**4. Factor u(p).
-(p - 3)**2*(p + 1)/2
Let a(r) = -r + 4. Let g be a(-1). Find f, given that 5*f**3 - 15*f**2 + g*f**5 + 4*f**4 + 26*f**4 - 15*f**4 - 10*f = 0.
-2, -1, 0, 1
Let b(r) be the first derivative of -r**4 - 8*r + 4/5*r**5 - 4*r**3 + 10*r**2 - 11. Factor b(s).
4*(s - 1)**3*(s + 2)
Suppose 19*r - 8*r - 58 = -18*r. Factor 1/4*p**r - 1/4*p + 0.
p*(p - 1)/4
Let s(o) be the third derivative of -o**5/20 - 3*o**4 - 22*o**3 + 10*o**2 - 4*o. Determine y so that s(y) = 0.
-22, -2
Let i = -7732 + 7737. Factor -8/13*j**i - 18/13 + 30/13*j**3 + 10/13*j**2 + 0*j**4 - 30/13*j.
-2*(j + 1)**3*(2*j - 3)**2/13
Let x(p) = -4*p**4 + 2*p**3 + 90*p**2 + 156*p + 72. Let v(q) = 17*q**4 - 6*q**3 - 360*q**2 - 625*q - 288. Let d(h) = 2*v(h) + 9*x(h). Factor d(w).
-2*(w - 9)*(w + 1)**2*(w + 4)
Let v(l) be the second derivative of l**7/5040 + l**6/720 - l**5/80 - 11*l**4/6 + 30*l. Let r(b) be the third derivative of v(b). Determine w so that r(w) = 0.
-3, 1
Suppose -u = 4*u. Let d(v) = -2*v + 8. Let h be d(3). Factor -h*b**4 + 13*b**5 + u*b**2 + 2*b**2 - b**3 - 12*b**5.
b**2*(b - 2)*(b - 1)*(b + 1)
Let k(z) be the second derivative of -z**5/170 + 9*z**4/34 + z**3/51 - 27*z**2/17 - 5*z + 9. Find y such that k(y) = 0.
-1, 1, 27
Find c such that 2523/5*c + 87/5*c**2 + 24389/5 + 1/5*c**3 = 0.
-29
Let w(c) = c + 4. Let b be w(-4). Suppose -l - 4*l = b. Factor -k**2 + 5*k - 6*k + l*k**2 + 2.
-(k - 1)*(k + 2)
Let t be (-1)/90*-20*9/7. Suppose 0*b + 2/7*b**4 + t + 0*b**3 - 4/7*b**2 = 0. What is b?
-1, 1
Let n(v) be the third derivative of v**8/30240 + v**7/7560 - v**6/540 + v**5/20 + v**2. Let t(r) be the third derivative of n(r). Factor t(l).
2*(l - 1)*(l + 2)/3
Let m = -87 - -57. Let z be (m/(-7))/(2/14). Factor 3*i**3 - 3*i - 16 + z - 14.
3*i*(i - 1)*(i + 1)
Let z(j) = -1068*j + 2*j**4 - 7*j**2 - 5 + 1068*j. Let h(o) = 2*o**4 - 6*o**2 - 4. Let v(i) = 5*h(i) - 4*z(i). Factor v(w).
2*w**2*(w - 1)*(w + 1)
Let i(z) be the third derivative of -z**5/210 + 23*z**4/84 - 94*z**2. Let i(l) = 0. Calculate l.
0, 23
Let n(z) = -z**3 - 2*z**2 + 6*z - 3. Let r be n(-4). Suppose -1/4*o**2 - 5/4*o**4 - 1/2*o**r + 0*o - o**3 + 0 = 0. What is o?
-1, -1/2, 0
Let u = 218 - 223. Let p(x) = 6*x**3 - 9*x**2 - 3*x**4 - 3*x**2 + 0 + 6. Let k(y) = -3*y**4 + 7*y**3 - 12*y**2 + 5. Let v(w) = u*p(w) + 6*k(w). Factor v(i).
-3*i**2*(i - 2)**2
Let p be (-1 - (-25)/15)/(4/24). Let z(f) be the first derivative of -12 - 2/3*f**3 - f**2 + p*f. Determine t so that z(t) = 0.
-2, 1
Let m(n) be the second derivative of n**6/5 - n**5/4 - 11*n**4/6 + 11*n**3/6 + 5*n**2 - 186*n. Suppose m(w) = 0. What is w?
-5/3, -1/2, 1, 2
Let z(j) be the second derivative of j**4/120 - j**3/20 + j**2/10 - 372*j. Factor z(o).
(o - 2)*(o - 1)/10
Let w(b) be the first derivative of -4/3*b**2 + 5 + 2/9*b**3 + 8/3*b. Determine z, given that w(z) = 0.
2
Let s be (3 + 77/(-21))/((-2)/(-3)). Let i be (-387)/