m) = -2*h(m) - 4*x(m). Solve w(n) = 0 for n.
-5, -2, -1, 1
Let c = -99522 - -497611/5. Determine w so that -14/5*w + 49/5 + c*w**2 = 0.
7
Let a(j) = j**3 + 8*j**2 - 19*j + 10. Suppose 3*n = 6, -4*n - 12 = -2*l - 40. Let f be a(l). Suppose 0*u + 0 + f*u**2 + 1/2*u**4 + 2*u**3 = 0. What is u?
-4, 0
Let x(g) = 6*g**3 + 222*g**2 + 294*g + 78. Let m(n) = -36*n**3 - 1331*n**2 - 1766*n - 471. Let s(l) = 4*m(l) + 26*x(l). Factor s(p).
4*(p + 1)*(p + 36)*(3*p + 1)
Let z(q) be the third derivative of q**8/168 - 8*q**7/3 + 37*q**6/2 - 166*q**5/3 + 1105*q**4/12 - 92*q**3 + 50*q**2 - 4*q. Factor z(y).
2*(y - 276)*(y - 1)**4
Let l be 161/69*(24/(-35) - 240/(-200)). Let y = 8 + -5. Solve 0 + l*w - 9/5*w**2 + 3/5*w**y = 0 for w.
0, 1, 2
Determine w, given that -1168*w**4 - 6*w**2 + w**5 + 3496*w**4 + 23*w**3 - 4*w**5 - 1173*w**4 - 1169*w**4 = 0.
-6, 0, 1/3, 1
Suppose -306*g + 582*g + 552*g - 1712 = -28*g. Factor 20/9*n + 2/9*n**g - 22/9.
2*(n - 1)*(n + 11)/9
Let n(m) be the first derivative of 40/3*m + 218 + 1/3*m**2 - 2/9*m**3. Factor n(u).
-2*(u - 5)*(u + 4)/3
Solve -116/7*p + 120/7 - 4/7*p**2 = 0.
-30, 1
Let o(d) be the first derivative of -18/5*d + 133 - 18/25*d**5 - 236/15*d**3 + 6*d**4 + 12*d**2. Factor o(v).
-2*(v - 3)**2*(3*v - 1)**2/5
Let v(i) be the first derivative of -5*i**4/4 + 550*i**3 + 3139. Let v(z) = 0. What is z?
0, 330
Let a(u) = -u**3 + 48*u**2 + 112*u + 2. Let p(n) = -2*n**2 + 2*n + 1. Let v(q) = 2*a(q) - 4*p(q). Factor v(t).
-2*t*(t - 54)*(t + 2)
Suppose -226*v = 116 - 931 - 315. Let y(i) be the second derivative of 1/3*i**4 + 0 + 21*i - 2/15*i**6 - 3/5*i**v + 0*i**2 + 2*i**3. Factor y(t).
-4*t*(t - 1)*(t + 1)*(t + 3)
Find q, given that -16*q - 6673*q**2 - 52 + 6671*q**2 + 70*q = 0.
1, 26
Let b(g) be the second derivative of -g**4/60 - 9*g**3/2 + 423*g**2/5 + g + 9134. Factor b(t).
-(t - 6)*(t + 141)/5
Let m(c) be the third derivative of 0 - 7/330*c**5 - 1/12*c**4 + c**2 - 21*c - 1/660*c**6 - 5/33*c**3. Factor m(q).
-2*(q + 1)**2*(q + 5)/11
Factor 1796 - o**2 - 172*o - 3703 + 5*o**2 + 1731.
4*(o - 44)*(o + 1)
Let d(t) = -t**3 - 6*t**2 - 6*t + 5. Let p be d(-5). Let b be 4/p + (5 - (-54)/(-10)). Factor b + 1/5*x**3 - 1/5*x**2 + 0*x.
x**2*(x - 1)/5
Suppose -3*f = -j - 2, 11*j + 16 = 4*f + 13*j. Let y(k) be the second derivative of -1/4*k**4 + k + 0 + 5/2*k**3 - 6*k**f. Factor y(s).
-3*(s - 4)*(s - 1)
Let 123/4 + 281/8*t - 7/8*t**2 = 0. Calculate t.
-6/7, 41
Let y(h) be the first derivative of h**4 - 568*h**3/3 - 3624*h**2 - 22176*h - 14702. Factor y(i).
4*(i - 154)*(i + 6)**2
Let m be ((-80)/(-1400))/((-1320)/(-70)). Let d(p) be the third derivative of 0*p + 0*p**4 + 0*p**3 + 0 + 29*p**2 + m*p**5. Factor d(x).
2*x**2/11
Let p(z) be the second derivative of -10*z + 0*z**2 - 1/14*z**4 - 1/70*z**5 + 1 + 4/21*z**3. Find i such that p(i) = 0.
-4, 0, 1
Let v(g) = -g**2 - 8576*g - 77100. Let y be v(-9). Factor 0 - 24/7*b - 3*b**2 + 3/7*b**y.
3*b*(b - 8)*(b + 1)/7
Determine y so that 1/3*y**2 - 8/3*y + 4 = 0.
2, 6
Let h = -34/15 - -37/15. Let z(x) be the second derivative of 2/3*x**3 + h*x**5 + 2/3*x**4 + 0 + x + 0*x**2. Factor z(w).
4*w*(w + 1)**2
Let o(f) = -f**2 + 18*f + 23. Let j be o(19). Suppose 10 = 3*y - d, -3*y - j*d = -4 + 14. Find k, given that -16 + 9*k - 17*k - 15*k + 3*k - 4*k**y = 0.
-4, -1
What is b in -4*b - 36/5 - 1/5*b**2 = 0?
-18, -2
Suppose 0 = j + 4*k + 2 + 1, -4*k - 2 = 2*j. Let a = 4 - j. Factor -5*c - 7*c**2 - a*c**4 + 2*c + 10*c**2 + 3*c**3.
-3*c*(c - 1)**2*(c + 1)
Determine p so that -32 + 2577*p + 37140*p**2 - 971*p + 870*p - 36830*p**2 = 0.
-8, 2/155
Suppose 6*k + 126318 = -105*k. Let p = -1138 - k. Factor -1/4*f**4 + 1/4*f**3 + p + f**2 - f.
-f*(f - 2)*(f - 1)*(f + 2)/4
Let b(x) be the second derivative of x**4/16 - 95*x**3/8 - 36*x**2 + 163*x + 4. Find p, given that b(p) = 0.
-1, 96
Let y(r) be the third derivative of 0*r**4 + 1/140*r**5 - 22*r**2 + 0 + 0*r**3 + 1/784*r**8 - 1/490*r**7 - 1/280*r**6 + 0*r. Find l such that y(l) = 0.
-1, 0, 1
Suppose 40 - 1393 = -451*n. Find i such that -6/13*i**n + 6/13*i + 2/13*i**4 + 0 - 2/13*i**2 = 0.
-1, 0, 1, 3
What is f in 212 + 241 - 555 + 3*f**3 - 108*f**2 + 207*f = 0?
1, 34
Suppose -2*m + m + 16 = o, -2*m = -o - 41. Suppose z = -2*p + 28, 0 = 33*z - 29*z - 5*p - 60. Factor 33*d**2 - z - m*d**2 - 9*d**2.
5*(d - 2)*(d + 2)
Let x(d) be the first derivative of -d**6/180 + d**5/15 + d**4/8 - 3*d**3 - 9*d**2 - 25*d + 103. Let n(k) be the first derivative of x(k). Factor n(c).
-(c - 6)**2*(c + 1)*(c + 3)/6
Let h(x) be the third derivative of -x**6/420 - 121*x**5/210 + 445*x**4/42 - 256*x**3/7 + x**2 + 98. Factor h(v).
-2*(v - 6)*(v - 1)*(v + 128)/7
Let a be (-230)/1150 + (-6)/(-5) + 1/1. Let r(n) be the third derivative of -1/36*n**4 + 1/18*n**3 + 1/180*n**5 + n**a + 0*n - 2. Factor r(q).
(q - 1)**2/3
Let c(r) be the first derivative of -333*r - 2*r**3 - 2*r**2 + 171*r + 168*r - 22. Let s(f) = -f**2 - f + 1. Let g(n) = c(n) - 4*s(n). Factor g(z).
-2*(z - 1)*(z + 1)
Let n(l) = 4 - 8*l - 4*l**2 + 6*l - l**3 + 0*l. Let x(o) = 8*o**3 + 36*o**2 + 18*o - 36. Let w(j) = -52*n(j) - 6*x(j). Solve w(g) = 0 for g.
-1, 1, 2
Let j(v) = v**2 - 11*v + 6. Let k be j(13). Suppose 3*f + k = 38. Suppose 1/4*u + 0*u**f - 1/4*u**3 + 0 = 0. What is u?
-1, 0, 1
Suppose -l - 2*c = 754, 7*l - 10*l - 4*c - 2266 = 0. Let v = l + 760. Solve 32/5*p - 128/5 - 2/5*p**v = 0.
8
Let s = -115307/72 + 3203/2. Let d(r) be the second derivative of s*r**4 + 0*r**2 - 31*r + 0 + 1/18*r**3. Factor d(o).
o*(o + 2)/6
Let x(s) be the first derivative of -1/6*s**6 - 29*s + 125/6*s**3 + 0*s**2 - 9/4*s**5 - 25/4*s**4 + 19. Let i(q) be the first derivative of x(q). Factor i(z).
-5*z*(z - 1)*(z + 5)**2
Let q(y) = -y**2 - 18*y + 17. Let u be q(-18). Factor -u*h**3 + 12*h**2 - 105*h - 450 - 28*h**3 + 48*h**3.
3*(h - 6)*(h + 5)**2
Let v(y) be the first derivative of -16/3*y**3 - 61 - 13*y**2 - 12*y - 1/2*y**4. Suppose v(x) = 0. What is x?
-6, -1
Let s(o) be the first derivative of 9*o - 16 - o**3 - 19 - 3*o**2 - 43. Determine m, given that s(m) = 0.
-3, 1
Let w(z) be the first derivative of 1/110*z**5 - 9 - 1/33*z**3 + 1/11*z**2 - 1/66*z**4 - 17*z. Let i(u) be the first derivative of w(u). Factor i(y).
2*(y - 1)**2*(y + 1)/11
Suppose 172808693/8 + 930747/8*s + 1671/8*s**2 + 1/8*s**3 = 0. Calculate s.
-557
Let f(v) be the third derivative of -v**5/360 + 7*v**4/144 - v**3/6 + 5*v**2 + 100. Factor f(z).
-(z - 6)*(z - 1)/6
Suppose v = 3*v - 2*d + 752, -5*v - 4*d = 1898. Let b = v + 378. Let b - 1/3*g - 1/3*g**2 = 0. What is g?
-1, 0
Factor 27*w**2 + 3*w - 6 - 698*w**4 - 18*w**2 - 3*w**3 + 695*w**4.
-3*(w - 1)**2*(w + 1)*(w + 2)
Factor -961/3 - 1/3*b**2 + 62/3*b.
-(b - 31)**2/3
Suppose 4*q - 74 = 4*k - 6*k, 3*k + q = 106. Let h be 5/(k/(-24)) - -4*1. Let -4/7*i**4 + h*i**2 - 2/7*i + 2/7*i**5 + 0 + 0*i**3 = 0. Calculate i.
-1, 0, 1
Let i(y) be the second derivative of y**7/112 - 9*y**6/80 - 15*y**5/32 + 25*y**4/32 + 21*y**3/4 + 33*y**2/4 + 341*y. What is x in i(x) = 0?
-2, -1, 2, 11
Let p(y) = 5*y**2 - y + 9. Let a(o) = -61*o**2 - 2255*o - 80170. Let j(h) = 2*a(h) + 18*p(h). Determine w, given that j(w) = 0.
-283/4
Factor 8*a**2 - 8100 + 165*a + 41*a**2 - 51*a**2 + 7*a**2.
5*(a - 27)*(a + 60)
Factor 2*h**3 - 65*h**2 + 13 - 4*h**3 + 29677*h - 6 - 29708*h + 25.
-(h + 1)*(h + 32)*(2*h - 1)
Let w(l) be the first derivative of -l**6/14 - 54*l**5/7 - 3033*l**4/14 + 272*l**3/7 + 18765*l**2/14 + 12150*l/7 + 3057. Let w(q) = 0. Calculate q.
-45, -1, 2
Let r(i) be the first derivative of -529*i**4 - 1978*i**3/3 - 280*i**2 - 50*i - 2184. Solve r(d) = 0.
-1/2, -5/23
Let a be (-2)/(2/37 + 0) + -3. Let x = a + 56. Find m such that 7*m**2 - 9*m**2 + 6*m**2 - 1 + 13 - x*m = 0.
1, 3
Let -172/3*q**3 + 80 - 1028/3*q + 706/3*q**2 + 14/3*q**4 = 0. Calculate q.
2/7, 3, 4, 5
Suppose -340 = -29*m - 282. Suppose -1/5*g**m - 16/5 + 2*g = 0. What is g?
2, 8
Suppose -4*b = -28*y + 29*y + 63, 2*b + 39 = -3*y. Let q be ((-6)/b)/(3*5/25). Factor 16/3*d**2 + 0 + 0*d + q*d**3.
2*d**2*(d + 8)/3
Let -2/5*i**2 - 10890 - 132*i = 0. What is i?
-165
Let i(t) = t**3 + 15*t**2 - 24*t. Let n(q) = -3*q**3 - 32*q**2 + 55*q. Let b(w) = 10*i(w) + 4*n(w). Factor b(m).
-2*m*(m - 10)*(m - 1)
Let o = 5772 - 5772. Let d(f) be the first derivative of 0*f**2 - 4/55*f**5 - 5/33*f**6 - 12