t - 2)
Let f(r) = -30*r**2 + 27*r - 12. Let d(m) = -5*m**2 - m. Let n(b) = 5*d(b) - f(b). Factor n(h).
(h - 6)*(5*h - 2)
Factor 0*r - 23*r + 2*r - 113*r - r**2 - 78*r.
-r*(r + 212)
Let l(t) = -3*t**3 + 85*t**2 - 195*t + 5. Let q(d) = 8*d**3 - 212*d**2 + 488*d - 12. Let c be 21/(-6)*72/21. Let y(w) = c*l(w) - 5*q(w). Factor y(v).
-4*v*(v - 5)**2
Suppose 95*o - 39*o - 840 = 0. Let j(z) = 21*z**2 - 111*z + 168. Suppose 3*h - 10 = 8*h. Let w(r) = 3*r**2 - 16*r + 24. Let k(g) = h*j(g) + o*w(g). Factor k(n).
3*(n - 4)*(n - 2)
Suppose 28*z = 18*z + 20. Factor -2*d**5 - 2 - 9*d**2 - 4*d**4 + 13*d**2 + z*d + 2.
-2*d*(d - 1)*(d + 1)**3
Let d(u) = 29*u**2 - 1442*u + 172798. Let h(o) = -216*o**2 + 10095*o - 1209585. Let b(t) = -15*d(t) - 2*h(t). What is v in b(v) = 0?
240
Let c(x) be the second derivative of -2*x**7/357 - 163*x**6/255 - 344*x**5/17 - 4799*x**4/102 + 80*x**3/51 + 1600*x**2/17 - 52*x. Suppose c(r) = 0. What is r?
-40, -1, 1/2
Let u(z) = z**3 - 6*z**2 + 7*z - 8. Let q be 9/2 + (-2 - (-10)/4). Let y be u(q). Solve -10 + c - 5*c**y - 3*c + 26*c - 9*c = 0.
1, 2
Let r(h) = 14*h**2 + 10*h + 8. Let p(j) = 30*j**2 + 19*j + 15. Let k(q) = q**3 + 21*q**2 + q + 15. Let b be k(-21). Let l(u) = b*p(u) + 13*r(u). Factor l(x).
2*(x + 1)*(x + 7)
Factor -272/5 - 356/5*i - 4/5*i**3 - 88/5*i**2.
-4*(i + 1)*(i + 4)*(i + 17)/5
Let k be -7 + 5576/238 - 16. Factor -1/7*o**2 - 2/7 - k*o.
-(o + 1)*(o + 2)/7
Let s(t) = 2*t**3 + t**2 - t - 1. Let b(v) = -21*v**3 - 1161*v**2 - 147447*v - 6291447. Let z(m) = -b(m) - 9*s(m). Factor z(w).
3*(w + 128)**3
Let f = 63738 - 318662/5. Factor 94/5*b + f - 14/5*b**2.
-2*(b - 7)*(7*b + 2)/5
Suppose -4*x + 5*m = -22, 0 = m - 13 + 15. Let s(k) be the first derivative of -12*k**2 + 28/9*k**x - 43 - 12*k. Determine q, given that s(q) = 0.
-3/7, 3
Suppose 0 = -2*s - 3*q + 12, -20*q = 5*s - 22*q + 8. Suppose s = -29*p + 7*p + 44. Suppose 2/3*b + 1 - 1/3*b**p = 0. Calculate b.
-1, 3
Let x be ((-1)/4)/((86/215)/(112/(-35))). Factor 2/3*u**4 + 72*u**x + 144*u + 12*u**3 + 0.
2*u*(u + 6)**3/3
Factor -6*w + 2*w**5 + 24*w + 16 + 85*w**4 + 18*w - 91*w**4 - 14*w**3 + 14*w**2.
2*(w - 4)*(w - 2)*(w + 1)**3
Factor -135/4 - 1/4*x**2 + 12*x.
-(x - 45)*(x - 3)/4
Let b = -284 - -3694/13. Let m be (-399)/(-266) + 3/6. Factor -2/13*c**m - b - 4/13*c.
-2*(c + 1)**2/13
Let j be 6/39*((-21)/(-4) - 31668/8736). Factor 7/4*t**4 + 5/2*t**3 - 27/4*t + 27/4 - 9/2*t**2 + j*t**5.
(t - 1)**2*(t + 3)**3/4
Suppose -2 = 16*c + x, -25*c + 24*c + 4 = -2*x. Find v such that 0 + 1/4*v**5 + 0*v**2 + 0*v + c*v**3 - 1/4*v**4 = 0.
0, 1
Let g(z) be the third derivative of -z**7/70 + 97*z**6/5 - 75659*z**5/10 + 37539*z**4 - 149769*z**3/2 - 3*z**2 - 866*z. Factor g(r).
-3*(r - 387)**2*(r - 1)**2
Suppose -2*f + 120 = 8*f. Let -3 + 21*h**2 - 25*h**2 - 24*h - f*h**3 + 3 + 16*h**3 = 0. What is h?
-2, 0, 3
Factor -2207155608/5*z + 2/5*z**4 - 5208/5*z**3 + 5085612/5*z**2 + 359214575202/5.
2*(z - 651)**4/5
Let k(z) = -2*z**4 - 3*z**3 - z**2 - 1. Let m(x) = 11*x**4 + 108*x**3 - 2778*x**2 + 31958*x - 73161. Let u(p) = -6*k(p) - m(p). Determine d so that u(d) = 0.
3, 29
Let y(x) be the second derivative of -3*x**6/5 + 1263*x**5/10 - 3851*x**4/3 + 8596*x**3/3 - 2680*x**2 - 2699*x + 1. Solve y(l) = 0 for l.
2/3, 5, 134
Let j(g) be the second derivative of g**7/210 + g**6/90 - g**5/30 + 133*g**4/12 - 142*g. Let v(i) be the third derivative of j(i). Find m, given that v(m) = 0.
-1, 1/3
Let v(x) be the third derivative of 21*x**7/20 + 161*x**6/40 + 43*x**5/30 + x**4/6 + 3*x**2 - 208*x. Find u such that v(u) = 0.
-2, -2/21, 0
Let m(r) = 5*r**3 + 8*r**2 - 12. Let s be m(-3). Let v be (-144)/s + (-4)/(-50). Solve 0 - 1/4*t**3 + 3/2*t**v - 5/4*t = 0 for t.
0, 1, 5
Let w(r) be the third derivative of -1/945*r**7 + 0*r + 19/270*r**5 + 0*r**3 - 210*r**2 - 1/135*r**6 + 0 - 7/54*r**4. Factor w(o).
-2*o*(o - 2)*(o - 1)*(o + 7)/9
Let a(d) be the first derivative of -63 - 9/4*d**2 - 1/12*d**3 - 81/4*d. Find j, given that a(j) = 0.
-9
Let f be (7936/36580 - (-12)/(-708))*(26 + -1). Factor 0 + 0*h**2 - 2/7*h**3 + 2/7*h**f + 0*h + 0*h**4.
2*h**3*(h - 1)*(h + 1)/7
Let a(c) be the third derivative of 0*c**3 - 13*c + 1/540*c**6 - 1/27*c**4 + 0*c**5 - c**2 + 0. Factor a(k).
2*k*(k - 2)*(k + 2)/9
Let u(z) be the first derivative of -200 + 0*z + 0*z**4 + 14/15*z**3 - 2/25*z**5 - 6/5*z**2. Factor u(m).
-2*m*(m - 2)*(m - 1)*(m + 3)/5
Factor 63/5*k**2 + 729/5 + 57/5*k**3 - 1053/5*k + 4/5*k**4.
(k - 3)*(k + 9)**2*(4*k - 3)/5
Let r(m) = 3*m**2 - 2*m + 2. Let l be r(0). Let k be 0/(-3) + ((-112)/21 - -6). Factor 1/3*i + k*i**2 - l.
(i + 2)*(2*i - 3)/3
Let l = 4351/30 - 1447/10. Find h, given that l*h**3 + 4/3*h**2 + 5/3*h + 2/3 = 0.
-2, -1
Let q(v) = -v**3 - 5*v + 1. Let g(p) = 36*p**3 - 164*p**2 + 140*p - 20. Let o(m) = -g(m) - 20*q(m). Find i, given that o(i) = 0.
0, 1/4, 10
Let w(k) = 25*k**4 - 5258*k**3 - 4201*k**2 - 844*k - 3. Let d(y) = 100*y**4 - 21033*y**3 - 16799*y**2 - 3376*y - 13. Let p(c) = 3*d(c) - 13*w(c). Factor p(q).
-q*(q - 211)*(5*q + 2)**2
Let f be -22*(-51)/5236*(-42)/(-4). Solve -3/4*p**3 + 3/2*p + 0 - f*p**2 - 3/4*p**5 + 9/4*p**4 = 0.
-1, 0, 1, 2
Let q(x) = x**3 - 3*x**2 - x - 1. Let r be q(2). Let k be (-5 - r) + -4 + 2. Factor 0*h**2 - 6/7*h**3 + 2/7*h**4 + 8/7*h + k.
2*h*(h - 2)**2*(h + 1)/7
Factor -98283/8 - 4347/8*z**2 - 197109/4*z - 3/2*z**3.
-3*(z + 181)**2*(4*z + 1)/8
Factor -2/15*d**2 + 524/15*d - 34322/15.
-2*(d - 131)**2/15
Factor 60*a**2 - 144*a**4 - 142*a**4 + 282*a**4 + 56*a**3.
-4*a**2*(a - 15)*(a + 1)
Let r(m) be the second derivative of -13*m**5/35 + 25*m**4/42 - 2*m**3/7 + 3216*m. Factor r(a).
-2*a*(2*a - 1)*(13*a - 6)/7
Suppose -3*n + 42 = 3*c, 3*n - 38 = c - 0*c. Suppose -6*k + 5 = -n. Solve -15*f**2 - 13*f**2 + 4*f**k + 43*f - 48 + 16*f + 5*f = 0 for f.
2, 3
Let z be (-3)/15 - (-7)/((-175)/(-80)). Let c be 3 - (-1)/(2/(42/z)). Solve 10*r**5 - 3*r**3 + 2*r**2 + c*r**5 + 28*r**5 - 48*r**4 + r**2 = 0 for r.
-1/4, 0, 1/4, 1
Let o(z) be the first derivative of -z**6/6 + 6*z**5/5 - 13*z**4/4 + 4*z**3 - 2*z**2 + 4940. Factor o(b).
-b*(b - 2)**2*(b - 1)**2
Let o(f) = 40 + 3*f + 21*f**2 + 3*f - 3*f - 4 + f**3 + 29. Let l be o(-21). Let -24/7*y**l - 6/7 + 30/7*y = 0. What is y?
1/4, 1
Let x(m) be the second derivative of -m**5/40 + 81*m**4/2 - 26244*m**3 + 8503056*m**2 + 2222*m. Factor x(n).
-(n - 324)**3/2
Let t(r) be the first derivative of 9*r**5/25 - 447*r**4/5 + 89398*r**3/15 - 29502*r**2/5 + 9801*r/5 - 1237. Solve t(x) = 0.
1/3, 99
Suppose -4*a + 2*a + 1694 = m, m - 1678 = 2*a. Find c, given that 3*c**2 - m - 384*c + 4623 + c**2 + 6279 = 0.
48
Find t such that 2/17*t**4 - 502/17*t**2 - 498/17*t**3 + 500/17 + 498/17*t = 0.
-1, 1, 250
Let d(w) be the third derivative of w**6/540 - 34*w**5/45 + 67*w**4/36 + 406*w**3/27 - 4*w**2 + 707*w. Factor d(v).
2*(v - 203)*(v - 2)*(v + 1)/9
Let w(b) be the second derivative of b**7/126 + 17*b**6/45 + 8*b**5/15 - 17*b**4/18 - 11*b**3/6 - 2171*b. What is a in w(a) = 0?
-33, -1, 0, 1
Let f(i) be the second derivative of -i**4/16 + 23*i**3/24 + i**2 + 1147*i. Suppose f(r) = 0. What is r?
-1/3, 8
Let v be 2*(82/28 - 12/28). Suppose 43*u**2 - 5*u**3 + 5*u**3 + 60*u + 39*u + 45 + v*u**3 = 0. What is u?
-5, -3, -3/5
Let t = 46529/2 + -23264. What is h in 3/2*h + 5 - t*h**2 = 0?
-2, 5
Suppose 2*i = -3*i - 30. Let v(j) = -2*j**2 - 12*j + 3. Let g be v(i). Factor 8*x**g + 10*x + 2*x**5 + 3 + 20*x**2 + 12*x**3 - 1 + 10*x**4.
2*(x + 1)**5
Suppose -x + 20303 = 5*w, -5*w - 25165 + 4872 = -x. Factor -12*z + 20304*z**2 + 4*z - x*z**2 - z**3.
-z*(z - 4)*(z - 2)
Let k(s) be the second derivative of s**5/20 + 5*s**4/3 + 2*s**3 - 131*s**2/2 + 657*s. Let p be k(-19). Determine r, given that 10/3 + 3*r**p + 47/3*r = 0.
-5, -2/9
Let f(v) = 72*v**2 - 19*v + 64. Let j be f(11). Find d such that -1955 - 13505*d**2 - 4058 - 5*d**4 - j - 530*d**3 + 28620*d = 0.
-54, 1
Factor 12070*n + 342*n**2 + 2*n**3 - 19458 - 25956 - 531*n + 2555*n.
2*(n - 3)*(n + 87)**2
Let c(w) be the third derivative of 5/204*w**4 + 47*w**2 - 1/510*w**5 + 0 + 0*w - 2/17*w**3. Factor c(r).
-2*(r - 3)*(r - 2)/17
Let i(f) = f**2 - 42*f + 282. Let w be i(33). Let x be (38/(-95))/(w/6 + 2). Find j such that 0 - 2/5*j**3 + x*j**2 + 0*j = 0.
0, 2
Let n(f) be the third derivative of 0 + 5/6*f**4 + 0*f - 