 704/(-36) - 8/18. Let u be (-9*p/90)/1. Factor 1/2*w + 3/4*w**3 + 5/4*w**u + 0.
w*(w + 1)*(3*w + 2)/4
Suppose 700 + 207 = 427*s - 801. Solve -21/4*a**s + 0*a**2 + 0 - 3/4*a**5 - 9/2*a**3 + 0*a = 0 for a.
-6, -1, 0
Let b be 13/((-6240)/(-696)) + (-2)/8*1. Let m = -56 + 58. Factor b*r - 9/5*r**m + 0 + 3/5*r**3.
3*r*(r - 2)*(r - 1)/5
Let y(g) be the third derivative of -g**6/840 - 62*g**5/105 - 247*g**4/168 + 385*g**2 + 3. Factor y(d).
-d*(d + 1)*(d + 247)/7
Let t be ((-109652)/632)/(2*(-2)/(-8)). Let o = t + 2083/6. Factor 1/2*a**2 - 1/6*a**3 - 1/2 + o*a.
-(a - 3)*(a - 1)*(a + 1)/6
Factor 39 - 41/2*m + 1/2*m**2.
(m - 39)*(m - 2)/2
Let q(f) be the third derivative of -f**6/30 + f**5/5 + 49*f**4/6 + 30*f**3 + 6*f**2 + 2*f - 15. What is t in q(t) = 0?
-5, -1, 9
Let j(f) be the second derivative of 7/2*f**3 + 22*f + 0 - 13/2*f**2 + 1/10*f**5 - 5/6*f**4. Let n(b) = b - 1. Let w(o) = -j(o) + 5*n(o). Solve w(i) = 0 for i.
1, 2
Let n(h) = -h**3 + 12*h**2 + 24*h + 28. Let i be n(12). Solve 315*f**3 - 628*f**3 + 9*f**2 + i*f**3 = 0 for f.
-3, 0
Let z(j) be the first derivative of -4*j**3/3 + 112*j**2 + 960*j + 3537. Factor z(q).
-4*(q - 60)*(q + 4)
Let w(s) be the second derivative of -s - 1/6*s**4 + 3/2*s**2 + 1/60*s**6 + 0 - 1/30*s**5 + 0*s**3. Let a(n) be the first derivative of w(n). Factor a(o).
2*o*(o - 2)*(o + 1)
Suppose -3*o**2 + 156 + 62*o - 457 + 154 + 201 - 11*o = 0. Calculate o.
-1, 18
Suppose -237 = -5*x - 222. Factor -4*f**x + 12*f**2 - 450 + f**3 + 54*f + 25*f + 8*f + 18*f.
-3*(f - 5)**2*(f + 6)
Let n(i) be the second derivative of -i**7/15120 - i**6/1080 + i**5/144 + 31*i**4/4 + 9*i - 1. Let l(b) be the third derivative of n(b). Factor l(m).
-(m - 1)*(m + 5)/6
Let k(c) be the third derivative of 1/48*c**4 + 55*c**2 - 1/80*c**6 + 1/6*c**3 - 1/30*c**5 + 0*c + 0. Factor k(b).
-(b + 1)**2*(3*b - 2)/2
Let n(g) be the second derivative of 8*g**5/105 + 11*g**4/56 + g**3/42 + 98*g**2 - 95*g. Let t(v) be the first derivative of n(v). Find j such that t(j) = 0.
-1, -1/32
Let s be (-2)/5*(-8)/(16/(-5)). Let r(p) = -3*p - 6*p**3 - 1 - 6*p**4 + 4 + 0*p. Let o(n) = n**4 - n**3 + n - 1. Let k(z) = s*r(z) - 3*o(z). Factor k(t).
3*t**3*(t + 3)
Let p be (5300/(-720) - -20)*(-3)/(-5) - 7/3. Let -p*a - 1/2 - 19/4*a**2 = 0. What is a?
-1, -2/19
Let a = 10760743873/21 + -512574714. Let l = a + 158397. Suppose l*t + 98/3*t**4 - 256/21 - 80*t**2 + 28/3*t**3 = 0. What is t?
-2, 4/7
Factor 2080/9 - 4/9*p**2 + 44*p.
-4*(p - 104)*(p + 5)/9
Factor -2/3*q**2 - 662/3 + 664/3*q.
-2*(q - 331)*(q - 1)/3
Factor 2*k**3 + 6*k**3 - 820 - 699*k**2 - 2*k**3 - 1056*k + 106 - 723*k.
3*(k - 119)*(k + 2)*(2*k + 1)
Let x(a) be the third derivative of -118*a**2 + 1/4*a**4 + 0 - 7/6*a**3 - 1/80*a**5 - 1/480*a**6 + 0*a. Let x(b) = 0. What is b?
-7, 2
Suppose 3447960*x + 5*x**5 + 7*x**5 - 324*x**3 + 756*x**2 - 3448176*x - 4*x**4 = 0. What is x?
-6, 0, 1/3, 3
Let u(x) be the first derivative of 2/7*x - 3/14*x**2 - 1/35*x**5 - 1/21*x**3 - 94 + 3/28*x**4. Suppose u(v) = 0. What is v?
-1, 1, 2
Suppose 0 = -2*r - 4 + 12. Let 0*q**4 + 7*q**2 + 5*q**r + 0*q**4 + 5*q**3 - 17*q**2 = 0. Calculate q.
-2, 0, 1
Let x(z) be the second derivative of 3*z**5/40 - 305*z**4/8 - 308*z**3 - 927*z**2 - 2*z - 266. Factor x(c).
3*(c - 309)*(c + 2)**2/2
Let v(c) be the third derivative of -1/270*c**5 + c**2 + 0*c**3 + 3 + 17/54*c**4 + 0*c. Factor v(f).
-2*f*(f - 34)/9
Suppose -7*n = 7 - 42. Suppose 0 = n*j - 10. Suppose -4*c**4 + j*c**3 + 5*c**4 + 2*c**4 - c**2 - 2*c**4 - 2*c = 0. What is c?
-2, -1, 0, 1
Let i(p) be the third derivative of -49*p**6/660 + 791*p**5/30 - 1240*p**4/33 + 236*p**3/11 - 68*p**2 + 2*p + 5. Factor i(y).
-2*(y - 177)*(7*y - 2)**2/11
Let m = -2027116/3 - -675756. Factor 2/3*k**2 + 2888/3 + m*k.
2*(k + 38)**2/3
Let r = 2959 - 1999. Suppose j + r = 5*j. What is k in 2856*k**3 + 1029*k**5 + 62*k**2 + 3381*k**4 + 72*k**2 - j*k - 48 + 178*k**2 = 0?
-2, -1, -2/7, 2/7
Let q(v) = -36*v - 53. Let h be q(-3). Let 21 + 7 - 60*g + h*g**2 - 8 - 15*g**3 = 0. What is g?
2/3, 1, 2
Let a = 1131 + -1112. Suppose 34 = a*w - 2*w. Factor -2*j**w - 4/5*j + 2/5*j**5 - 6/5*j**3 + 2/5*j**4 + 0.
2*j*(j - 2)*(j + 1)**3/5
Let j(c) = -9*c**3 + 131*c**2 - 640. Let n(s) = 29 - 26*s**2 + 159 - 58 + 2*s**3 - 2. Let g(i) = -2*j(i) - 11*n(i). Factor g(r).
-4*(r - 4)**2*(r + 2)
Let p(f) be the second derivative of 113*f - 2*f**2 + 0*f**3 + 0 + 1/3*f**4. Factor p(i).
4*(i - 1)*(i + 1)
Let b(g) be the second derivative of -g**5/10 + 22*g**4/3 - 41*g**3/3 - 86*g**2 - 615*g. Suppose b(t) = 0. What is t?
-1, 2, 43
Suppose 16 = -715*p + 723*p. Suppose p*f - 20 = -8*f. Find g such that 0 - 5/4*g**5 + 5/4*g**3 - 5/4*g**f + 5/4*g**4 + 0*g = 0.
-1, 0, 1
Let v = -7045/2 - -3525. Let o(j) be the first derivative of -9 + j**5 + 5/4*j**4 + 0*j - v*j**2 - 5/3*j**3. Determine t, given that o(t) = 0.
-1, 0, 1
Let c(m) = 5*m**3 - 105*m**2 + 1. Let o be c(21). Let w = -5 + 21/4. Solve w*g**2 + g + o = 0.
-2
Let j(y) = 29*y**4 + 92*y**3 + 43*y**2 - 36*y - 8. Let g(f) = -114*f**4 - 369*f**3 - 171*f**2 + 144*f + 30. Let i(q) = 4*g(q) + 15*j(q). Solve i(k) = 0 for k.
-4, -1, 0, 3/7
Suppose 145*p - 17 = -11 + 284. Let m = -1625/3 - -542. Factor -2 + 1/3*h**p + m*h.
(h - 2)*(h + 3)/3
Let w(r) be the first derivative of r**4/2 - 46*r**3/3 + 143*r**2 - 242*r + 4313. Determine o so that w(o) = 0.
1, 11
Let b(l) be the third derivative of l**6/660 - 2*l**5/55 + 3*l**4/11 - 32*l**3/33 + 509*l**2. Factor b(p).
2*(p - 8)*(p - 2)**2/11
Let j = -42977/2 - -21034. Let q = j + 459. Factor q - 3*l - 3/2*l**2.
-3*(l - 1)*(l + 3)/2
Factor 1019*m**4 + 823690 - 2885*m**3 + 1024*m**4 - 3056*m**4 - 1241275*m + 420465*m**2 + 1018*m**4.
5*(m - 287)**2*(m - 2)*(m - 1)
Factor 93/2 + 177/8*i**2 + 3/8*i**3 - 69*i.
3*(i - 2)*(i - 1)*(i + 62)/8
Determine s, given that 0*s - 5/2*s**4 - 23/10*s**2 + 0 - 1/10*s**5 - 47/10*s**3 = 0.
-23, -1, 0
Factor -18533*s - 19502*s - 912*s**2 + 900*s**3 + 36227*s + 4*s**4.
4*s*(s - 2)*(s + 1)*(s + 226)
Suppose -513 = 47*d - 218*d. Let m(o) be the first derivative of -55/3*o**d - 125*o + 175/2*o**2 + 5/4*o**4 - 14. Factor m(x).
5*(x - 5)**2*(x - 1)
Let a = -486 + 318. Let s be 7*(-8)/a*18/7. Factor 0*n**2 + 0 - 4/7*n**3 + 0*n - s*n**4 - 2/7*n**5.
-2*n**3*(n + 1)*(n + 2)/7
Solve 121/3*k + 82 - 1/3*k**2 = 0 for k.
-2, 123
Let p = -650 - -761. Factor -144 - 4*m**2 + 207*m - 170*m + p*m.
-4*(m - 36)*(m - 1)
Let z = -106943 + 1390265/13. Factor 20/13*u**4 - z*u**3 + 0*u + 0*u**2 - 6/13*u**5 + 0.
-2*u**3*(u - 3)*(3*u - 1)/13
Let d = -61 + 57. Let c be (6/d)/((-2)/((-32)/6)). Let v(a) = -6*a**2 + 3*a + 3. Let y(r) = 5*r**2 - 3*r - 2. Let w(l) = c*v(l) - 5*y(l). Factor w(f).
-(f - 2)*(f - 1)
Let g(o) = -5*o + 80. Let w be g(5). Let -2*c**3 - w*c**2 + 5*c**2 + 24*c**2 - 24*c = 0. What is c?
-12, -1, 0
Suppose 3*x = -3*a - 2*a + 4, 5*x = -5*a + 10. Let z = -2991 - -2994. Factor 2*y + 2*y**z - 5*y**x + 5*y**3 - 3*y**4 + 7*y**2.
-y*(y - 2)*(y + 1)*(3*y + 1)
Determine d, given that -236/5*d**3 + 72*d**2 - 176/5*d + 0 - 2/5*d**5 + 54/5*d**4 = 0.
0, 1, 2, 22
Suppose 28324*q = 29809*q - 8910. Suppose 59/2*u**2 - q - 2*u - 47/2*u**4 - 17/2*u**3 + 21/2*u**5 = 0. What is u?
-1, -3/7, 2/3, 1, 2
Let v be (-70)/10 - (((-5)/(-5) - -6) + -16). What is h in 3/4*h**v - 45/2*h + 675/4 = 0?
15
Determine y, given that -906742*y**4 + 959*y + 922618*y**4 + 1072*y - 50396*y**2 - 12 - 497*y + 86814*y**3 = 0.
-6, 1/63, 1/2
Let g(u) = -u**2 - 3*u**3 + 2*u**2 + 2*u**3 + u**2. Let i(l) = 2*l**4 + 16*l**3 + 32*l**2. Let z(f) = 6*g(f) - i(f). Let z(k) = 0. What is k?
-10, -1, 0
Let l(x) = -5*x**3 + 17*x**2 + 12*x + 2. Let m(f) = -12*f**3 + 35*f**2 + 22*f + 5. Let c = -101 - -97. Let o(s) = c*m(s) + 10*l(s). Find v, given that o(v) = 0.
-1, 0, 16
Let r = 6449 - 6421. Let u(n) be the second derivative of -5/6*n**4 + 0*n**2 + 0 - r*n - 1/15*n**6 - 2/3*n**3 - 2/5*n**5. Factor u(x).
-2*x*(x + 1)**2*(x + 2)
Let s(v) be the third derivative of -5/8*v**4 - 1/112*v**8 - 39 - v**2 + 1/14*v**7 + 0*v + 1/2*v**5 - 1/4*v**6 + 1/2*v**3. Factor s(r).
-3*(r - 1)**5
Let y(b) be the second derivative of b**4/72 + 103*b**3/18 + 10609*b**2/12 + 1195*b. Find o such that y(o) = 0.
-103
Let l = 211 + -142. Factor 123*k + 0*k + 6 - 15*k**2 + 39 - l.
-3*(k - 8)*(5*k - 1)
Let 80 - 116*l**2 - 84*l**2 +