t v = 40 + -37. Solve 8*i**2 - 20*i**v + 4*i + 22*i**3 - 2*i**2 = 0 for i.
-2, -1, 0
Let n(m) be the third derivative of -m**6/840 - m**5/420 + m**4/84 - 78*m**2. Factor n(a).
-a*(a - 1)*(a + 2)/7
Factor -6*j**3 - j**3 - 60*j**2 - 810*j**4 + 20*j + 2*j**3 + 825*j**4.
5*j*(j - 2)*(j + 2)*(3*j - 1)
Let h(k) be the third derivative of 2*k**7/735 + 2*k**6/105 + k**5/35 + 3*k**2 + 25*k. Factor h(r).
4*r**2*(r + 1)*(r + 3)/7
Let g(k) = k**2 - 4*k - 2. Let c(a) = a**2 - a - 1. Let h(r) = 4*c(r) - 2*g(r). Let p(i) = i**2 + 2*i. Let l(f) = -3*h(f) + 5*p(f). Factor l(z).
-z*(z + 2)
Let u be 7/(-1260)*-3*(2 + 1). Let d(j) be the second derivative of -1/6*j**3 + 0*j**2 + u*j**5 - 5*j + 0 + 0*j**4. Find a, given that d(a) = 0.
-1, 0, 1
Factor -15*n + 3*n - n**3 + 11*n + 2*n**2.
-n*(n - 1)**2
Let l be (-2)/(-11) + 110/50 + 1689/330. Solve -33/4 + 3/4*j**2 - l*j = 0 for j.
-1, 11
Factor 0 + 24/5*i**2 + 8*i + 2/5*i**3.
2*i*(i + 2)*(i + 10)/5
Let z(u) = -25*u**4 + 3*u**3 - 3*u**2 - 7*u + 6. Let r(o) = 46*o**4 - 5*o**3 + 6*o**2 + 13*o - 11. Let t(k) = -6*r(k) - 11*z(k). What is j in t(j) = 0?
-1, 0
Suppose -19*a**2 + 2*a**3 - 43*a + 27*a**2 - 31*a - 2*a**4 + 66*a = 0. What is a?
-2, 0, 1, 2
Let x(y) be the third derivative of 11*y**5/30 + 11*y**4/24 + 2*y**3/3 + 3*y**2 + 10. Let t(l) = -42*l**2 - 21*l - 7. Let c(q) = -6*t(q) - 10*x(q). Factor c(b).
2*(4*b + 1)**2
Let h(g) be the first derivative of 2*g + 1/12*g**3 + 36 - 3/4*g**2. Factor h(d).
(d - 4)*(d - 2)/4
Factor 64/3*j**2 + 136/3*j + 2*j**3 + 64/3.
2*(j + 2)*(j + 8)*(3*j + 2)/3
Let w(m) be the first derivative of -m**6/33 + 3*m**4/22 - 4*m**3/33 + 108. Solve w(n) = 0 for n.
-2, 0, 1
Let b(d) = -d - 4. Let v be b(-6). Let q = 1/550 - -879/550. Determine w so that -12/5*w**3 - q*w**4 + 0 - 2/5*w**5 - 8/5*w**v - 2/5*w = 0.
-1, 0
Let j(u) be the third derivative of -8/35*u**7 + 1/21*u**8 - 1/2*u**4 - 6*u**2 + 0*u - 4/3*u**3 + 8/15*u**5 + 1/6*u**6 + 0. Find y, given that j(y) = 0.
-1/2, 1, 2
Let n(a) = 50*a**3 + 90*a**2 - 20*a + 7. Let m(q) = -25*q**3 - 45*q**2 + 10*q - 3. Let p(l) = 7*m(l) + 3*n(l). Suppose p(d) = 0. Calculate d.
-2, 0, 1/5
Let g = -14/167 - -2183/24048. Let b(m) be the third derivative of 0*m - g*m**4 + 0 - 1/720*m**6 + 1/180*m**5 + 3*m**2 + 0*m**3. Factor b(r).
-r*(r - 1)**2/6
Let g(q) = 6*q - 53. Let s be g(13). What is w in -4*w**2 + w - 31 - s*w - 33 - 8*w = 0?
-4
Let z(y) be the third derivative of y**7/1470 + 13*y**6/840 + 4*y**5/35 + 17*y**4/42 + 16*y**3/21 - 2*y**2 - 46*y. Factor z(j).
(j + 1)*(j + 2)**2*(j + 8)/7
Let d(q) be the third derivative of 0*q**6 + 0*q**5 + 1/504*q**8 + 0*q**3 + 0 - 43*q**2 - 1/315*q**7 + 0*q + 0*q**4. Factor d(s).
2*s**4*(s - 1)/3
Determine i, given that 0 + 1/6*i**2 - 27*i**5 + 7*i**3 + 3/2*i**4 - 1/3*i = 0.
-1/3, 0, 2/9, 1/2
Let r = 1445 - 5779/4. What is l in 5/4*l - 1/2 - r*l**5 + l**4 - 1/2*l**2 - l**3 = 0?
-1, 1, 2
Suppose -5*h - 2 = -17. Suppose 3*d + d**3 - 4*d**3 + h*d**4 + 3*d**2 + 0*d - 6*d**2 = 0. Calculate d.
-1, 0, 1
Suppose 0 = -5*x + 4*p - 241, -3*x - 85 = -5*p + 70. Let l be (-20)/90 + (-19)/x. Find f such that 1/5*f - l*f**5 + 2/5*f**4 - 2/5*f**2 + 0 + 0*f**3 = 0.
-1, 0, 1
Let r be 5/((-1615)/(-34))*38. Suppose 3/8*m**3 - 1/2 + 5/8*m**2 - 3/8*m - 1/8*m**r = 0. What is m?
-1, 1, 4
Let q be ((-236)/826)/((-1)/(-14)*-2). Let -2/3 - q*v**2 + 2/3*v**3 + 2*v = 0. What is v?
1
Solve 2*l + 4*l**2 - 4 - 373*l**3 + 371*l**3 + 0 = 0 for l.
-1, 1, 2
Let r(t) be the first derivative of -t**6/17 + 46*t**5/85 + 41*t**4/34 - 86*t**3/51 - 18*t**2/17 - 141. What is g in r(g) = 0?
-2, -1/3, 0, 1, 9
Let u(s) be the first derivative of -1/78*s**4 - 6 - 4*s + 1/195*s**6 + 0*s**5 + 0*s**2 + 0*s**3. Let l(g) be the first derivative of u(g). Factor l(b).
2*b**2*(b - 1)*(b + 1)/13
Let j be 100/(-75)*3/(-2). Factor 4*l + 0 - 15*l**2 + 12*l**2 - 8 + 7*l**j.
4*(l - 1)*(l + 2)
Factor -2/11*k + 0*k**2 + 2/11*k**3 + 0.
2*k*(k - 1)*(k + 1)/11
Let n = 3126/11 - 284. Let f be (13 + -14)/(((-22)/(-16))/(-1)). Suppose -f*q + n*q**2 + 8/11 = 0. What is q?
2
Suppose 56*c - 37*c - 76 = 0. Let b(s) be the third derivative of -1/120*s**5 + 0*s + 0 - 8*s**2 - 1/48*s**c + 1/6*s**3. Factor b(p).
-(p - 1)*(p + 2)/2
Let s(r) be the second derivative of r**8/30240 + r**7/5670 - r**6/648 - r**5/90 + 5*r**4/4 + 37*r. Let x(v) be the third derivative of s(v). Factor x(a).
2*(a - 2)*(a + 1)*(a + 3)/9
Let j(n) be the third derivative of n**8/50400 + n**5/10 - 2*n**2. Let g(z) be the third derivative of j(z). Factor g(k).
2*k**2/5
Let r(p) be the second derivative of p**4/12 - 13*p**3/6 + 20*p**2 - 2*p - 17. Factor r(h).
(h - 8)*(h - 5)
Let y = 4252 - 21257/5. Factor 12/5 - 3*p + y*p**2.
3*(p - 4)*(p - 1)/5
Suppose -64 = -22*y + 6*y. Factor -53*d - 102 + y*d**2 + 30 - 31*d + 20*d**3 + 4*d**4.
4*(d - 2)*(d + 1)*(d + 3)**2
Let u(j) be the second derivative of j**5/160 + j**4/48 - j**3/12 + 2*j**2 - 21*j. Let h(b) be the first derivative of u(b). Factor h(r).
(r + 2)*(3*r - 2)/8
Let l(f) be the third derivative of f**7/70 + 3*f**6/20 + f**5/20 - 3*f**4 + 8*f**3 - 2*f**2 - 16*f. What is v in l(v) = 0?
-4, 1
Let h(a) be the second derivative of a**7/189 - 8*a**6/135 + a**5/5 - 8*a**4/27 + 5*a**3/27 - 626*a. Solve h(l) = 0 for l.
0, 1, 5
Let j(m) be the second derivative of m**5/150 - m**4/60 - 2*m**3/15 - 5*m**2/2 + 2*m. Let w(d) be the first derivative of j(d). Factor w(h).
2*(h - 2)*(h + 1)/5
Let c(x) be the third derivative of -x**5/36 - 155*x**4/36 - 4805*x**3/18 + 192*x**2. Solve c(j) = 0.
-31
Suppose 0 = 2*c - y - 16, -y = 3*y + 16. Let d(j) be the second derivative of 4/3*j**2 - 1/18*j**4 + c*j - 1/30*j**5 + 4/9*j**3 + 0. Factor d(f).
-2*(f - 2)*(f + 1)*(f + 2)/3
Let j(k) be the second derivative of 4*k - 1/18*k**4 + 3/2*k**2 + 0 + 1/15*k**5 + 1/90*k**6 - 2/3*k**3. Factor j(q).
(q - 1)**2*(q + 3)**2/3
Suppose -236*d - 72 = -272*d. Factor -1/5*z - 1/5*z**d + 2/5.
-(z - 1)*(z + 2)/5
Let l(h) be the first derivative of -h**4 + 104*h**3/3 - 384*h**2 + 1152*h - 37. Factor l(c).
-4*(c - 12)**2*(c - 2)
Let r(i) be the second derivative of -2/7*i**3 + 1/3*i**4 + 18*i + 2/105*i**6 + 0 + 0*i**2 - 1/7*i**5. Solve r(l) = 0 for l.
0, 1, 3
Factor -4*t**4 + 203*t**3 - 476*t**3 - 243*t - 123*t**2 - 1146*t**2 - 11*t**4.
-3*t*(t + 9)**2*(5*t + 1)
Let l(c) be the third derivative of -c**7/280 + c**6/40 + c**5/10 - 8*c**3/3 - 5*c**2 - 1. Let v(f) be the first derivative of l(f). Let v(q) = 0. What is q?
-1, 0, 4
Let o(u) be the third derivative of -u**7/1050 + u**6/75 - 2*u**5/25 + 4*u**4/15 - 8*u**3/15 - 54*u**2. Determine r so that o(r) = 0.
2
Let j = 1363 - 1361. Factor -1/2*n - 1 + 1/2*n**j.
(n - 2)*(n + 1)/2
Let j(v) be the first derivative of 2*v**5/15 + 4*v**4/3 + 40*v**3/9 + 16*v**2/3 + 194. Determine a, given that j(a) = 0.
-4, -2, 0
Suppose 2*z + 24 = 3*y - z, 2*y - 12 = 3*z. Let 6*o**2 - 6*o**3 - 6*o**2 - 15*o**4 - 2*o + 14*o + 3 + y*o**2 - 6*o**5 = 0. What is o?
-1, -1/2, 1
Suppose 93*t = 3*t + 270. Factor -2/7*q**t + 2/7*q**5 + 0 + 0*q + 2/7*q**4 - 2/7*q**2.
2*q**2*(q - 1)*(q + 1)**2/7
Let v(h) = -14*h**4 + 62*h**3 - 65*h**2 - 287*h - 176. Let r(o) = -16*o**4 + 64*o**3 - 66*o**2 - 286*o - 176. Let x(g) = 5*r(g) - 6*v(g). What is j in x(j) = 0?
-1, 4, 11
Let z(g) be the second derivative of -g**7/1680 - g**6/240 - g**5/80 - 5*g**4/12 - 5*g. Let j(q) be the third derivative of z(q). Factor j(o).
-3*(o + 1)**2/2
Let p = -9049/2 + 4526. Factor p*k**2 + 9*k + 27/2.
3*(k + 3)**2/2
Let b(f) = 9*f**2 - 8. Let m(a) = 8*a**2 + 3*a - 5. Let s(p) = 72*p**2 + 28*p - 44. Let j(k) = -28*m(k) + 3*s(k). Let c(u) = 6*b(u) + 7*j(u). Factor c(q).
-2*(q - 2)*(q + 2)
Let a(d) be the second derivative of 0*d**3 - d + 0 + 4/15*d**6 + 0*d**5 + 0*d**2 + 0*d**4 + 10/21*d**7. Factor a(w).
4*w**4*(5*w + 2)
Let m be (1 - (-200)/(-192))*(-8)/30. Let v(p) be the second derivative of 0*p**3 - m*p**6 + 0 + 1/60*p**5 + 1/18*p**4 - 4*p + 0*p**2. Factor v(t).
-t**2*(t - 2)*(t + 1)/3
Let h = 274 - 1362/5. Let i(k) be the first derivative of -2/3*k**3 + h*k**2 + 1/10*k**4 - 1 - 8/5*k. Determine l, given that i(l) = 0.
1, 2
Let c(o) be the first derivative of 0*o + 5/2*o**2 - 1/108*o**4 - 2 - 2/27*o**3 + 1/270*o**5. Let n(j) be the second derivative of c(j). Factor n(h).
2*(h - 2)*(h + 1)/9
Let j(u) be the second derivative of -u*