h that 24/11*g**4 + 432/11*g - 162/11*g**3 + 96/11 + 150/11*g**2 = 0.
-1, -1/4, 4
Suppose 1/2*n**5 + 0*n - 23*n**4 + 0 - 24*n**2 - 95/2*n**3 = 0. What is n?
-1, 0, 48
Let k(z) = 149*z - 1635. Let b be k(11). Solve -28/3*h**3 - 56*h + 2/3*h**b + 24 + 122/3*h**2 = 0.
1, 6
Let b = 170 - 166. Solve -21*z**3 + 3*z**5 + 96 - 36*z + 60*z**2 - 96 - 6*z**b = 0.
-3, 0, 1, 2
Factor -27/2 + 21/4*l**2 - 3/8*l**3 - 63/8*l.
-3*(l - 12)*(l - 3)*(l + 1)/8
Let x(y) = 8*y + 100. Let b be x(-10). Let o be (-6)/b - (-702)/40. Factor 3*d**2 - o*d - 9/2.
3*(d - 6)*(4*d + 1)/4
Suppose 3*g - 5*b - 13 - 12 = 0, -4*g = 2*b - 68. Let c be 2 - -2 - (-16)/(-8). Factor 3 + 4*q - g - 4 + 0*q**3 + 16*q**c - 4*q**3.
-4*(q - 4)*(q - 1)*(q + 1)
Let r be ((-5)/35)/(6/(-21))*8. Let p be 6/(-51)*r - -2. Factor -4/17 + 22/17*y + p*y**2.
2*(y + 1)*(13*y - 2)/17
Let v be (-5 + (-1686)/(-330))/(9/37140). Let u = -450 + v. Factor 0*b**4 + u*b**5 + 0 - 6/11*b**3 + 0*b - 4/11*b**2.
2*b**2*(b - 2)*(b + 1)**2/11
Solve -72/7*i**2 + 2/7*i**3 + 148/7 - 78/7*i = 0.
-2, 1, 37
Solve 59/3*c + 1/3*c**3 - 11*c**2 + 31 = 0.
-1, 3, 31
Let c be 3 - 5/2 - (-9)/6. Let b be (-3 - (-78)/14)/(c/14). Find w such that -48*w**2 - b*w**4 + 2*w**3 - 27*w - 32*w**3 - 6 - 3*w**5 - 12*w**3 = 0.
-2, -1
Let z(w) be the first derivative of w**5/10 + 275*w**4/8 + 273*w**3/2 + 817*w**2/4 + 136*w + 238. Determine b, given that z(b) = 0.
-272, -1
Let i be (510/544)/((-5)/(-4)). Determine h so that 3/2*h**2 - i*h + 3/2*h**3 - 3/4*h**4 - 3/4*h**5 - 3/4 = 0.
-1, 1
Find b, given that -184 - 367/2*b + 1/2*b**2 = 0.
-1, 368
Let j(u) = -29*u**4 + 198*u**3 - 69*u**2 - 188*u + 120. Let b(k) = -k**4 + 2*k**3 + 3*k**2 - k + 2. Let g(w) = -4*b(w) + j(w). Factor g(q).
-(q - 7)*(q + 1)*(5*q - 4)**2
Let o(z) be the third derivative of -2*z**7/105 - 37*z**6/30 + 14*z**5/5 + 74*z**4/3 - 304*z**3/3 + 67*z**2 - 20*z. Find h, given that o(h) = 0.
-38, -2, 1, 2
Let n(k) be the first derivative of -2*k**5/55 - 125*k**4/22 - 2914*k**3/11 + 2209*k**2/11 - 24*k + 179. Let v(w) be the first derivative of n(w). Factor v(b).
-2*(b + 47)**2*(4*b - 1)/11
Let g(y) = -2*y**3 + 4*y**2 + 2*y - 1. Let z(h) = -9*h**3 + 97*h**2 + 161*h + 70. Let j(t) = 5*g(t) - z(t). Factor j(s).
-(s + 1)**2*(s + 75)
Let s(z) be the first derivative of 2*z**5/15 - 3*z**4/2 - 8*z**3/3 + 92*z**2/3 + 96*z - 817. Determine c so that s(c) = 0.
-2, 4, 9
Suppose -8*i + 441 = 129. Suppose i = 17*o - 46. Find g, given that -1/3*g**o + 0 - 5/3*g**2 + 1/3*g**4 + g**3 + 2/3*g = 0.
-2, 0, 1
Solve 102*s**3 + 12*s**4 - 45/4*s + 939/4*s**2 - 675/2 = 0.
-15/4, -2, 1
Let a = 675 - 677. Let g(o) = 24*o**4 + 90*o**3 - 18*o**2 - 352*o + 248. Let w(z) = z**5 + z**4 + z**3 - z**2 + z + 1. Let v(n) = a*w(n) - g(n). Factor v(c).
-2*(c - 1)**2*(c + 5)**3
Let n(h) be the first derivative of -h**4 + 13016*h**3/3 - 5300760*h**2 + 21151008*h + 11145. Suppose n(o) = 0. Calculate o.
2, 1626
Let i = -421 + 424. Suppose -2*d + 2 = -2. Suppose 7*y**d + 3*y + y**4 + 5*y**3 + 4*y + 0*y**i - 4*y = 0. Calculate y.
-3, -1, 0
Let p(d) be the third derivative of -17*d**6/240 + 14*d**5/15 - 71*d**4/16 + 15*d**3/2 + 2*d**2 - 1778. Suppose p(c) = 0. Calculate c.
10/17, 3
Let q(i) be the third derivative of 2*i**7/105 - 49*i**6/30 + 151*i**5/5 + 1323*i**4/2 - 2916*i**3 - 2410*i**2. What is n in q(n) = 0?
-6, 1, 27
Suppose 41 = 2*r + 23. Let m be r/(-90)*-2*15. Factor -m + 2*f - 1/3*f**2.
-(f - 3)**2/3
Find s such that 3/8*s**2 - 9/2 - 3/8*s**3 + 3*s = 0.
-3, 2
Let j be (-324)/(-72) - 48/64. Suppose 0 + 5*o**2 - 5*o + 5/4*o**5 + j*o**3 - 5*o**4 = 0. Calculate o.
-1, 0, 1, 2
Let q(v) = v**4 - v**2 - 2. Let j(s) = 5*s**5 - 35*s**4 - 10*s**3 + 5*s + 175. Let i(k) = -j(k) - 70*q(k). Find h, given that i(h) = 0.
-7, -1, 1
Suppose g + s - 10 = -0*g, 0 = 3*g + 4*s - 30. Let n(d) = d**3 - 6*d**2 - 42*d + 22. Let q be n(g). Find z, given that -1/2*z**3 - 2*z**q + 0 - 2*z = 0.
-2, 0
Let u = -371401/3 - -123801. Factor -u*c**3 - 14/3*c**2 + 2/3*c + 14/3.
-2*(c - 1)*(c + 1)*(c + 7)/3
Let r(f) be the third derivative of -f**5/12 - 11995*f**4/12 - 28776005*f**3/6 + 2*f**2 + 2619*f. Suppose r(w) = 0. What is w?
-2399
Let c = 27852 + -27850. Let z(k) be the first derivative of -25 + 2/3*k**3 + 0*k**c + 0*k - 2/5*k**5 - 1/6*k**6 + 1/4*k**4. Let z(b) = 0. What is b?
-2, -1, 0, 1
Let a be 70/(-7) - 91/(-9). Let p(x) be the first derivative of 1/6*x**4 + 22 + 0*x + a*x**3 + 0*x**2. Factor p(d).
d**2*(2*d + 1)/3
Factor -162*y**2 - 27*y**4 + 0 + 0*y + 243/2*y**3 + 3/2*y**5.
3*y**2*(y - 12)*(y - 3)**2/2
Let d(t) be the second derivative of -9*t**3 - 24*t**2 - 2 - 42*t + 3/4*t**4 + 3/4*t**5. Let d(i) = 0. What is i?
-8/5, -1, 2
Suppose -14 - 12*x**3 + 12*x - 6*x**2 + 16*x**2 + 7*x**2 - x**2 - 2*x**4 = 0. Calculate x.
-7, -1, 1
Let q = 126 - -632. Factor -32*g - 752*g**2 + q*g**2 + 9*g**3 - 24 - 2*g**4 + 3*g**3.
-2*(g - 6)*(g - 2)*(g + 1)**2
Factor 192*f - 25*f**2 - 9*f**3 + 162*f - 366*f + 4.
-(f + 1)*(f + 2)*(9*f - 2)
Let r(f) be the third derivative of -f**6/216 + 37*f**5/540 - 11*f**4/54 + 2*f**3/9 + 2885*f**2. Suppose r(u) = 0. Calculate u.
2/5, 1, 6
Let g(b) be the second derivative of 5*b**4/12 + 19325*b**3/3 + 74691125*b**2/2 - b - 10252. Factor g(f).
5*(f + 3865)**2
Let q(l) be the second derivative of -l**7/42 + 8*l**6/15 + 99*l**5/20 + 65*l**4/6 - 38*l**3/3 - 84*l**2 + 8288*l. Find b, given that q(b) = 0.
-2, 1, 21
Let k(h) be the first derivative of -2/9*h**3 + 1/72*h**4 + 5 + 4/3*h**2 - 15*h. Let a(m) be the first derivative of k(m). Factor a(r).
(r - 4)**2/6
Let h(v) be the first derivative of v**4/36 + 1346*v**3/27 + 2686*v**2/9 + 5368*v/9 - 6950. Factor h(x).
(x + 2)**2*(x + 1342)/9
Let t be ((-57)/(-152))/((-6)/(-212)) - 26/2. Solve 5/2*z**2 + 0 - t*z**4 + 9/4*z**3 + 0*z = 0.
-1, 0, 10
Let k(a) be the third derivative of a**6/10 - 6853*a**5/30 + 1141*a**4/12 + 1142*a**3/3 - 99*a**2 - a - 2. Determine b, given that k(b) = 0.
-1/3, 1/2, 1142
Let i = -580 + 316. Let s be 110/i*(-8)/5. Factor 0*m**2 - 1/3*m**3 + s + m.
-(m - 2)*(m + 1)**2/3
Let s(x) be the first derivative of -x**7/42 + 7*x**6/30 - 3*x**5/10 - 108*x - 97. Let t(c) be the first derivative of s(c). Factor t(y).
-y**3*(y - 6)*(y - 1)
Let l(b) be the second derivative of 1/7*b**4 + 1/105*b**6 + 1/7*b**2 - 4/21*b**3 - 2/35*b**5 + 0 + 12*b. Solve l(t) = 0 for t.
1
Determine t, given that 16*t**2 - 74/15*t**3 - 2/15*t**4 - 8/15*t - 64/3 = 0.
-40, -1, 2
Suppose -988/3 + 16/3*j**2 - 1316*j = 0. What is j?
-1/4, 247
Let j(x) be the second derivative of 140*x + 0 + 6125/2*x**3 + 214375/2*x**2 + 1/4*x**5 + 175/4*x**4. Factor j(m).
5*(m + 35)**3
Suppose 3*l - 6 = -2*c, 0 = 4*c - 5*l - 26 - 30. Let d be 3/((-1512)/(-1112)) + c/(-21). Suppose -2/3 + 4/3*v**2 + 16/9*v - 2/3*v**4 - d*v**3 = 0. Calculate v.
-3, -1, 1/3, 1
Let u(p) = 10*p**2 + 15*p - 10. Let g(x) = -11*x**2 - 16*x + 9. Suppose 3*z + 12 + 3 = 0. Let f(o) = z*g(o) - 6*u(o). Suppose f(b) = 0. What is b?
-3, 1
Let c = 214 + -252. Let w = -36 - c. Let -1/5*r - 2/5 + 2/5*r**w + 1/5*r**3 = 0. What is r?
-2, -1, 1
Let f(d) = 243*d - 8505. Let v be f(35). Let o be ((-254)/6)/(2/(-6)). Factor 133 + v*z - 7*z + z**3 - o.
(z - 2)*(z - 1)*(z + 3)
Let f = 43 + -35. Suppose -2*z + 4*z = f. Suppose -15*j**3 - 3*j**z + 24*j - 24*j = 0. Calculate j.
-5, 0
Let d be (-4)/(-6)*324/(-66) - (2 + -6). What is a in 0 + d*a + 2/11*a**2 = 0?
-4, 0
Let c(p) be the third derivative of p**7/840 - 7*p**6/120 - 157*p**5/240 - 65*p**4/24 - 11*p**3/2 - p**2 - 36. Factor c(w).
(w - 33)*(w + 1)*(w + 2)**2/4
Suppose 251*b - 437 - 98 = -33. Let n(w) be the third derivative of 7*w**b + 0*w - 1/180*w**6 - 1/10*w**5 - 16/9*w**3 + 0 - 2/3*w**4. Factor n(f).
-2*(f + 1)*(f + 4)**2/3
Let k(f) be the third derivative of 1/60*f**5 + 0 + 3/8*f**4 + 0*f**3 - 2*f**2 - 32*f. Factor k(v).
v*(v + 9)
Let i be (-6)/(-11) - 500/110. Let o be 16/32 + 2/i. Factor 1/3*r + o - 1/3*r**2.
-r*(r - 1)/3
Let u = -262769/30 - -52555/6. Factor -1 - u*r**2 + 6/5*r.
-(r - 5)*(r - 1)/5
Let u(p) be the third derivative of p**7/630 - p**6/45 + 17*p**5/180 - 5*p**4/36 + 548*p**2. Factor u(m).
m*(m - 5)*(m - 2)*(m - 1)/3
Let o(r) = -r**2 + 287*r + 4533. Let y be o(302). Determine t, given that -5/2*t**y + 27*t + 33/2*t**2 + 8 = 0.
-1, -2/5, 8
Suppose 4*p - t - 13 = 0, -4*p = -5*t - 62 