y**3 - 21*y**2 + 10*y**3.
y*(y - 1)*(y + 207)
Let f(b) = -20*b**4 - 4*b**3 - 2*b**2 - 6*b. Let a(x) = -16*x**4 - 5*x**3 - x**2 - 5*x. Let h(n) = -6*a(n) + 5*f(n). Let h(m) = 0. Calculate m.
0, 1/2, 2
Factor -261/4*z**2 + 0 + 84*z**3 - 49/4*z**4 + 27/2*z.
-z*(z - 6)*(7*z - 3)**2/4
Suppose 4*c = -f + 11, -2*c + 5*f - 13 + 2 = 0. Factor -29 - 4*d**c + 5*d + 13 - 25*d.
-4*(d + 1)*(d + 4)
Let t(j) be the first derivative of 2*j**3/9 + 580*j**2/3 + 2171. Factor t(u).
2*u*(u + 580)/3
Suppose -3*s + 3*d = 0, -10*d = 2*s - 9*d - 6. Determine u, given that -45*u**s - 6*u**2 + 2*u**5 + 16*u**2 - 15*u**3 - 17*u + 47*u + 3*u**5 + 15*u**4 = 0.
-3, -2, 0, 1
Let y(t) = -69*t**2 + 25 - 73*t - 40*t**3 - 44 + 5*t**3. Let z(c) = -53*c**3 - 102*c**2 - 109*c - 28. Let j(l) = 8*y(l) - 5*z(l). Find v, given that j(v) = 0.
-1, -4/5
Suppose 0 = 2*z - 4, 2*z + 11 = 3*k. Let l be (-1)/((-6)/(-12)) + k*1. Determine m so that 15*m - 319 + 4*m - l*m**2 + 76 - 73*m = 0.
-9
Let z(t) be the second derivative of -7*t**6/33 + 549*t**5/110 - 182*t**4/33 + 20*t**3/11 + t - 1789. Determine s so that z(s) = 0.
0, 2/7, 2/5, 15
Let h(o) be the first derivative of 2*o**5/9 - 17*o**4/18 + 4*o**3/9 + 610. Let h(y) = 0. What is y?
0, 2/5, 3
Let z = -645 - -1099. Let h = -2264/5 + z. Find t such that 0 - h*t - 24/5*t**3 + 6*t**2 = 0.
0, 1/4, 1
Let 75*c**2 - 140*c**4 - 6510*c - 152*c**3 + 32 + 33*c**2 + 6662*c = 0. Calculate c.
-1, -4/5, -2/7, 1
Factor 110*m + 49 - 33 + m**2 + m**2 + 452 + 32.
2*(m + 5)*(m + 50)
Let x be 8/3*((-3567)/(-82))/29. Let 6/7*a**2 + 2/7*a - 2/7*a**x - 4/7 - 2/7*a**3 = 0. What is a?
-2, -1, 1
Suppose -12*l + 132 = 54*l. Let d be 3/15 + (1 - (-65)/(-75)). Factor 10/3*m - d*m**l - 1/3*m**3 - 8/3.
-(m - 2)*(m - 1)*(m + 4)/3
Let g(d) be the second derivative of -45*d**7/14 - d**6/2 + 163*d**5/2 + 195*d**4 + 20*d**3 - 80*d**2 + 816*d + 2. Solve g(f) = 0 for f.
-2, -1/3, 2/9, 4
Let l be (2 - 5) + 1 + -3. Let z be 396/(-440)*l/12. Factor 3*t + 3/8*t**5 - z*t**2 - 15/8*t**3 + 3/8*t**4 - 3/2.
3*(t - 1)**3*(t + 2)**2/8
Let y(s) be the first derivative of -s**4/4 + 11*s**3/6 - 13*s**2/4 + 2*s + 790. Factor y(j).
-(j - 4)*(j - 1)*(2*j - 1)/2
Factor -10*u**2 - 4292*u - 4*u**3 + 7736 + 5720 + 340*u**2 - 82*u**2.
-4*(u - 29)**2*(u - 4)
Let d = 209 + -196. Solve a**2 - 6*a + 11*a - d*a - 9 = 0 for a.
-1, 9
Factor -40/3*b + 17/3*b**2 - 52 - 1/3*b**3.
-(b - 13)*(b - 6)*(b + 2)/3
Let j(x) be the second derivative of -x**6/75 + 31*x**5/25 - 241*x**4/30 - 1488*x**3 - 25920*x**2 + 4*x - 1780. Factor j(h).
-2*(h - 40)**2*(h + 9)**2/5
Let z = 665/54 + -319/27. Let d = 3 + -1. Suppose 0 - 1/4*u**d - z*u**3 + 3/4*u**4 + 0*u = 0. What is u?
-1/3, 0, 1
Let l be 86/(-224)*218 + 7. Let g = -609/8 - l. Factor 7*s**3 + g*s + 0 - 4*s**2.
s*(7*s - 2)**2/7
Let p(l) be the second derivative of l**4/8 + 385*l**3/24 - 325*l**2/8 + 6577*l. Determine u, given that p(u) = 0.
-65, 5/6
Factor -c**3 - 7*c + 3 - 17/3*c**2.
-(c + 3)**2*(3*c - 1)/3
Find a such that -386/7*a + 32/7*a**4 - 774/7*a**2 - 208/7*a**3 + 148/7 = 0.
-2, -1, 1/4, 37/4
Let i(x) be the third derivative of -x**8/1344 + x**7/140 + 3*x**6/160 - 43*x**5/120 + 12*x**3 - 2*x**2 - 2020. What is l in i(l) = 0?
-3, -2, 3, 4
Suppose -4*a - 3*j = -9, -a + 9 = -131*j + 134*j. Let k(f) be the first derivative of 10 + a*f**2 + 2/9*f**3 + 1/12*f**4 + 0*f. Factor k(u).
u**2*(u + 2)/3
Suppose -t = -5*h + 17, 2*t + 0*h + 6 = 3*h. Let 6*w**2 - w + 1 + 11*w + t*w**2 = 0. What is w?
-1, -1/9
Let n be 2/4 + 4/(24/(-21)). Let q be n + 42/4 - 12/(-8). Determine y so that -y**4 - q*y**2 - 51*y - 64 - 56*y + 11*y - 43*y**2 - 12*y**3 = 0.
-4, -2
Solve 98 + 1/2*l**4 + 19/2*l**3 + 123/2*l**2 + 301/2*l = 0.
-7, -4, -1
Let w = 26 - 20. Let s be 4/w*(28/8 + 1). Solve 30 - s*k**2 + 3*k + 26 - 56 = 0.
0, 1
Find j, given that -441*j**4 + 330*j**3 + 150*j**4 + 30*j**2 + 9*j**5 - 339*j + 162*j**4 + 99 = 0.
-1, 1/3, 1, 3, 11
Let i = -12829/2898 + 102/23. Let t(h) be the second derivative of 0*h**2 + 1/60*h**5 - i*h**7 + 18*h + 0*h**3 + 1/36*h**4 + 0 - 1/90*h**6. Factor t(o).
-o**2*(o - 1)*(o + 1)**2/3
Determine o, given that -529*o**2 - 515*o**2 + 474*o - 471 + 1041*o**2 = 0.
1, 157
Let n(o) = 8*o**2 + 77*o - 316. Let y(h) = h**2 - h + 28. Let t(w) = -n(w) + 3*y(w). Determine b so that t(b) = 0.
-20, 4
Let t(q) = -2*q + 35. Let b be t(16). Let d(w) be the second derivative of 3/40*w**5 + 0 - 1/4*w**b + 1/8*w**4 + 7*w - 1/20*w**6 + 0*w**2. Solve d(c) = 0 for c.
-1, 0, 1
Let w(t) be the first derivative of -13/16*t**2 - 1/16*t**6 + 5/4*t**3 - t**4 - 58 + 2/5*t**5 + 1/4*t. Find d such that w(d) = 0.
1/3, 1, 2
Let p(x) = -65*x**4 + 505*x**3 + 235*x**2 - 1870*x. Let d(a) = 8*a**4 - 63*a**3 - 29*a**2 + 234*a. Let o(m) = -25*d(m) - 3*p(m). Factor o(v).
-5*v*(v - 12)*(v - 2)*(v + 2)
Let m(b) be the first derivative of b**6/30 - 5*b**4/12 + 2*b**2 + 19*b - 126. Let v(n) be the first derivative of m(n). Suppose v(f) = 0. Calculate f.
-2, -1, 1, 2
Let w(i) = 31*i**3 - 2*i**2 + 3*i - 2. Let j be w(1). Factor d**4 - d**3 + 20*d**2 + 5*d - 13*d - j*d**2.
d*(d - 4)*(d + 1)*(d + 2)
Let g be (0/2)/((-2)/(-2)). Let j be 8/3*(8 - (-790)/(-100)). Determine y, given that 2/15 + 0*y + g*y**3 - j*y**2 + 2/15*y**4 = 0.
-1, 1
Let a(b) be the first derivative of b**5/105 - 5*b**4/168 - b**3/7 - 61*b**2/2 - 67. Let h(u) be the second derivative of a(u). Factor h(f).
(f - 2)*(4*f + 3)/7
Factor -2*f**2 - 752/11 + 2076/11*f.
-2*(f - 94)*(11*f - 4)/11
Factor -2/11*g**3 - 58/11*g**2 - 1664/11 - 544/11*g.
-2*(g + 8)**2*(g + 13)/11
Let n(b) be the second derivative of b**6/2 + 3*b**5/10 - 45*b**4/4 - 9*b**3 + 2*b + 763. Solve n(q) = 0.
-3, -2/5, 0, 3
Suppose 0*p - 66 = -33*p. Let z be (-2*(-18)/21 - 3) + 2. Factor -1/7*g**3 - 4/7*g**p - 2/7 - z*g.
-(g + 1)**2*(g + 2)/7
Let r be (-1456)/(-144) - (13 + -3). Let t(f) be the first derivative of -16/3*f - r*f**3 + 4/3*f**2 - 7. Factor t(d).
-(d - 4)**2/3
Let g = -474173/6 - -79029. Let 2/3*b + g*b**3 + 0 - 5/6*b**2 = 0. What is b?
0, 1, 4
Let c(w) be the second derivative of 0 - 4/15*w**3 + 0*w**2 - 1/90*w**4 + 1/150*w**5 + 140*w. Factor c(x).
2*x*(x - 4)*(x + 3)/15
Let -1112/19*r - 2/19*r**2 + 2232/19 = 0. Calculate r.
-558, 2
Let g(i) be the first derivative of 184 - 5/3*i**3 - 216*i**2 - 172*i. Solve g(b) = 0 for b.
-86, -2/5
Let q = 410667/17 + -24155. Find z such that 30/17*z**2 + 18/17*z**5 - 50/17*z**3 + q*z - 22/17*z**4 - 8/17 = 0.
-1, 2/9, 1, 2
Let m = -11755 - -58781/5. Let y be 4 - 3 - (0 - 2). Factor 16/5*f - 18/5*f**y + 8/5 - m*f**2.
-2*(f - 1)*(3*f + 2)**2/5
Let s(h) be the first derivative of 5*h**4/4 + 5*h**3/3 - 40*h**2 + 100*h - 336. Determine o, given that s(o) = 0.
-5, 2
Let o = -3051247/2 - -1525736. Find u, given that -33*u**2 + o*u**3 + 0 - 15/2*u**5 + 0*u - 72*u**4 = 0.
-11, 0, 2/5, 1
Let r(g) = 5*g**2 - 22*g - 36. Let l(o) = -6 + 54 + 217 - 15 - 35*o**2 + 155*o. Let h(y) = -3*l(y) - 20*r(y). Suppose h(t) = 0. What is t?
-1, 6
Let s be (-1 + (-15)/6)*2. Let i(m) = 2*m**2 + 14*m + 5. Let w be i(s). Let -12*r**4 + r**w - 3*r**5 + 26*r - 26*r = 0. Calculate r.
-6, 0
Determine s so that 15/11*s**2 + 3392/11*s + 452/11 = 0.
-226, -2/15
Let v(w) be the second derivative of -w**5/120 + w**4/18 + 47*w**3/36 - 35*w**2/2 + 1023*w + 3. Determine s, given that v(s) = 0.
-7, 5, 6
Let b(p) be the third derivative of p**6/600 + 2*p**5/15 - p**4/30 - 16*p**3/3 + 3*p**2 + 259. Determine i so that b(i) = 0.
-40, -2, 2
Let k be (-9)/4*-4 + 135/(-27). Let w(j) be the second derivative of 17*j + 7/54*j**k - 2/9*j**2 + 5/27*j**3 + 0. Factor w(u).
2*(u + 1)*(7*u - 2)/9
Suppose 0 = 287*z - 295*z + 96. Let n be 2 - ((-16)/z)/2 - 1. Let 5/3*j + n*j**2 - 10/3 = 0. What is j?
-2, 1
Let c(q) = -33*q**4 - 194*q**3 - 128*q**2 + 177*q + 110. Let i(a) = 8*a**4 + 48*a**3 + 32*a**2 - 44*a - 28. Let y(u) = 4*c(u) + 17*i(u). Factor y(o).
4*(o - 1)*(o + 1)**2*(o + 9)
Determine z so that 2082*z - 1688*z**2 - 10514*z**4 + z**5 - 760 + 172*z**3 + 10706*z**4 + z**5 = 0.
-95, -4, 1
Let l(g) = -6*g + 356. Let t be l(59). Let 2/19*d**4 + 96/19*d**t + 128/19*d + 0 + 24/19*d**3 = 0. What is d?
-4, 0
Let w(t) be the second derivative of t**4/18 - 356*t**3/9 - 480*t**2 - 2661*t. Determine c so that w(c) = 0.
-4, 360
Let z(x) = -x**2 - 2*x + 68. Let p be z(-9). Determine n so that 210*