t is r in 1058/3 - 92/3*r + o*r**2 = 0?
23
Let w be ((-26)/6 + -1)/((5 + 10)/(-45)). Let i(v) be the first derivative of 0*v**3 - 1/12*v**2 + 0*v - w + 1/24*v**4. Let i(x) = 0. What is x?
-1, 0, 1
Let f(k) = k**3 - 6*k**2 - k - 40. Let n be f(7). What is s in -36*s**2 - 3 + 3 + 32*s**n - 20*s**3 = 0?
-1/5, 0
Let r(h) be the second derivative of -8*h**7/35 + 276*h**6/25 - 8763*h**5/100 - 6713*h**4/4 - 1620*h**3 - 600*h**2 - 116*h. Let r(o) = 0. Calculate o.
-5, -1/4, 20
Factor 0 + 96/13*m + 2*m**3 + 2/13*m**4 + 92/13*m**2.
2*m*(m + 2)*(m + 3)*(m + 8)/13
Let b(g) = -4*g**3 - g**2 - g + 1. Let n(c) = 140*c**3 - 85*c**2 + 105*c - 30. Let l(p) = -30*b(p) - n(p). Factor l(u).
-5*u*(u - 5)*(4*u - 3)
Let c(k) be the second derivative of 1/45*k**6 - 1 - 4*k + 1/18*k**4 - 1/3*k**3 - 2/3*k**2 + 1/10*k**5. Find y, given that c(y) = 0.
-2, -1, 1
Let 136*b - 5*b**5 + 6*b**5 + 4*b**5 - 132*b**3 - 39*b**4 - 52*b**2 - 9*b**5 - 5*b**4 + 96 = 0. Calculate b.
-6, -4, -1, 1
Let h(x) be the third derivative of x**5/180 - 29*x**4/36 + 19*x**3/6 + 32*x**2 - x. Suppose h(k) = 0. What is k?
1, 57
Factor 75*u**2 + 356*u + 348 + 4*u**2 + u**2 + 4*u**3 - 68.
4*(u + 1)*(u + 5)*(u + 14)
Let l = 2963 + -32386/11. Let i = 643/33 - l. Factor -i*u**4 + 14/3*u**3 - 32/3*u**2 + 8*u + 0.
-2*u*(u - 3)*(u - 2)**2/3
Let z be (531/413)/(54/819). Find p such that 33/4*p**2 + 3/4*p**3 + 0 - z*p = 0.
-13, 0, 2
Let h(f) be the second derivative of -f**6/24 - f**5/6 + 5*f**4/24 + 5*f**3/3 + 45*f**2/2 - 12*f + 2. Let m(w) be the first derivative of h(w). Factor m(g).
-5*(g - 1)*(g + 1)*(g + 2)
Let i(x) be the third derivative of -x**6/24 + x**5/3 - 5*x**4/6 - 85*x**2 + 2. Factor i(z).
-5*z*(z - 2)**2
Let g(u) = 54*u**2 + 306*u + 2. Let n be g(-11). Let a be (-4)/(-6) + (n/(-300) - -10). Determine i so that -1/10*i**2 - a*i + 3/5 = 0.
-3, 2
Let k be (-5)/105*30945/50. Let z = k - -207/7. Determine h, given that 1/5*h**3 - 1/10*h**4 + z + 0*h**2 - 1/5*h = 0.
-1, 1
Let d(a) = 4*a**4 - 2576*a**3 + 24*a**2 + 8*a. Let y(x) = -2*x**4 + 858*x**3 - 9*x**2 - 3*x. Let w(p) = 3*d(p) + 8*y(p). Determine z, given that w(z) = 0.
-216, 0
Let r = 159596429932/1488936675629 + -8/75423569. Let x = r + -2/1039. Solve x*f - 2/19*f**3 - 4/19 + 4/19*f**2 = 0 for f.
-1, 1, 2
Suppose u - 5*u = -36. Let d(j) = j**2 - 10*j + 11. Let m be d(u). Factor 11*t**3 - m*t**3 - 6*t**3 - t**5 - 2*t**3.
-t**3*(t - 1)*(t + 1)
Let w(v) = -14*v + 129. Let k(r) = -r**3 - 2*r**2 - 3*r + 3. Let g be k(-2). Let p be w(g). Determine q so that -1/7*q**4 - 5/7*q**p - 2/7 - q - 9/7*q**2 = 0.
-2, -1
Let j(f) = 24*f + 97. Let q be j(-4). Suppose 0 = 8*g - q + 1. What is i in -6*i**2 - 8*i**5 - 2/3*i - 62/3*i**4 - 18*i**3 + g = 0?
-1, -1/3, -1/4, 0
Let a(g) = g**3 - 4*g**2 + 2*g - 22. Let z be a(7). Suppose -149*q + 20 = -z*q. Determine v so that -5/2*v**q + v + 0 - 1/2*v**4 + 2*v**3 = 0.
0, 1, 2
Let y(n) = -5*n**4 - 40*n**3 + 51*n**2 - 6*n. Let k(i) = i**2 - i. Let u(p) = p + 2. Let l be u(-3). Let h(w) = l*y(w) + 6*k(w). Factor h(f).
5*f**2*(f - 1)*(f + 9)
Factor -35/3*r**2 + 20975/3*r - 5990/3.
-5*(r - 599)*(7*r - 2)/3
Solve 8*g**3 + 1/4*g**4 + 22*g + 45/2*g**2 + 29/4 = 0 for g.
-29, -1
Let j(m) be the second derivative of -m**5/20 + 5*m**4/6 + 71*m**3/6 + 30*m**2 + 1799*m. Factor j(n).
-(n - 15)*(n + 1)*(n + 4)
Let r = 7469 + -7467. What is x in 3/10*x**r - 1/10*x - 1/5 + 1/10*x**3 - 1/10*x**4 = 0?
-1, 1, 2
Factor -72/5*g**3 - 1056/5*g - 3/5*g**4 + 504/5*g**2 + 144.
-3*(g - 2)**3*(g + 30)/5
Let s = -29126/7 + 87434/21. Determine a, given that s*a**2 + 8/3*a + 2/3*a**3 + 0 = 0.
-2, 0
Let j be (8 - 0) + (-2)/(-12)*402/(-67). Let c(b) be the first derivative of -8/51*b**3 + 2/85*b**5 + j - 1/34*b**4 + 4/17*b**2 + 0*b. Factor c(r).
2*r*(r - 2)*(r - 1)*(r + 2)/17
Let z(x) be the second derivative of 5*x**4/12 - 860*x**3/3 + 73960*x**2 + x + 472. Factor z(f).
5*(f - 172)**2
Let j(u) be the second derivative of 13/10*u**3 - 1 + 3/100*u**5 - 11/30*u**4 + 11*u + 0*u**2. Solve j(c) = 0.
0, 3, 13/3
Let k(l) be the second derivative of -l**4/16 - 91*l**3/4 - 24843*l**2/8 + 3*l + 194. Let k(b) = 0. Calculate b.
-91
Let j = -193197 + 579593/3. Factor j*y**5 - 5/3*y**4 + y**3 + 1/3*y**2 - 1/3*y + 0.
y*(y - 1)**3*(2*y + 1)/3
Let 0 - 1/4*g**3 - 1/4*g**2 + 0*g = 0. Calculate g.
-1, 0
Let l(y) be the second derivative of 196122941*y**5/16 - 1687805*y**4/16 + 2905*y**3/8 - 5*y**2/8 + 2834*y. Let l(p) = 0. What is p?
1/581
Let q(p) be the third derivative of 1/30*p**5 + 13/60*p**4 - 1/300*p**6 + 0 - 2*p**2 + 7/15*p**3 + 0*p. Find s such that q(s) = 0.
-1, 7
Let t(q) = -q**3 - 1. Let b(v) = 6*v**5 + 16*v**4 + 22*v**3 - 2*v + 10. Let d be (-32)/(-128) + 81/(-4). Let z(p) = d*t(p) - 2*b(p). What is n in z(n) = 0?
-1, 0, 1/3
Let a(s) be the first derivative of 29*s**4 + 0*s + 3*s**6 - 24*s**3 + 8*s**2 - 241 - 78/5*s**5. Determine f, given that a(f) = 0.
0, 2/3, 1, 2
Let x be 410/(-35) - -11 - ((-2)/(12/18) + 2). Factor -x*k**4 - 12/7*k + 0 - 22/7*k**2 - 12/7*k**3.
-2*k*(k + 1)*(k + 2)*(k + 3)/7
Factor -23064 + 12028*a + 4/3*a**3 - 752/3*a**2.
4*(a - 93)**2*(a - 2)/3
Let z(c) = 9*c**3 - 3*c**2 - 12*c - 6. Let w(u) = 19*u**3 - 6*u**2 - 23*u - 13. Let q be (-28)/6*171/(-133). Let n(k) = q*w(k) - 13*z(k). Factor n(i).
-3*i*(i - 3)*(i + 2)
Let q(p) be the third derivative of p**8/1008 + 17*p**7/630 - 461*p**6/360 - 69*p**5/4 + 1188*p**4 - 19602*p**3 - 280*p**2 + 2*p. Factor q(r).
(r - 9)**3*(r + 22)**2/3
Let o(a) be the first derivative of a**7/280 + a**6/24 + a**5/5 + a**4/2 - 80*a**3/3 - 119. Let j(d) be the third derivative of o(d). Factor j(s).
3*(s + 1)*(s + 2)**2
Let g be (2520/3150)/(12/5). Find y, given that -2/3*y + g + 1/3*y**2 = 0.
1
Let o be 1 + 774*(-493)/(-408) - 1*6. Factor 1/4*n**2 - 61/2*n + o.
(n - 61)**2/4
Factor -20736/5 + 2/5*f**3 + 284/5*f**2 + 9792/5*f.
2*(f - 2)*(f + 72)**2/5
Let d = 115 + -113. Suppose 5*p - 5*w = -8*w - 4, d*p = 5*w + 17. Let n(i) = 3*i**2 - 79*i + 506. Let f(t) = -t - 1. Let s(b) = p*n(b) - f(b). Factor s(m).
3*(m - 13)**2
Let k(n) = -11*n + 43. Let m be k(1). Suppose 11*y + m - 87 = 0. Suppose -54/13 + 2/13*l**y + 92/13*l**3 - 22/13*l**4 + 162/13*l - 180/13*l**2 = 0. What is l?
1, 3
Let -20*o**5 - 17*o**3 + 240*o + 64*o**2 + 24*o**5 + 21*o**3 + 128 - 51*o**3 - 29*o**3 - 24*o**4 = 0. What is o?
-2, -1, 2, 8
Let o(x) = 4*x - 121. Let t be -9*93*5/(-135). Let d be o(t). Suppose -d*v + 0 + 1/2*v**2 = 0. Calculate v.
0, 6
Suppose -9*y - 11 = -83. Let o be (-6)/y - (-798)/152. Factor 3/2*h**2 + 0*h + 9/2*h**4 + 3/2*h**5 + o*h**3 + 0.
3*h**2*(h + 1)**3/2
Let v(a) be the first derivative of -a**3/9 - 259*a**2/6 - 1063. Factor v(l).
-l*(l + 259)/3
Let j be 6/((54/4)/9). Solve -4 + t**j + t - 5*t + 1020*t**3 + 3*t**2 - 1016*t**3 = 0.
-2, -1, 1
Let i(q) = -2*q**3 + 2*q + 4. Let g(j) = -4*j**3 - 120*j**2 + 956*j - 816. Let y(p) = g(p) - 4*i(p). Determine h, given that y(h) = 0.
1, 13, 16
Let g(j) be the second derivative of -6*j**7/7 - 38*j**6/5 - 49*j**5/5 + 53*j**4/3 - 20*j**3/3 - 72*j - 4. Suppose g(b) = 0. Calculate b.
-5, -2, 0, 1/3
Let w(f) be the second derivative of f**5/30 - 25*f**4/12 + 59*f**3/6 - 35*f**2/3 - 5423*f. Find k, given that w(k) = 0.
1/2, 2, 35
Let -560 + 21*k + 4*k**2 + 9*k + 9*k**2 + 2*k**2 - 10*k**2 = 0. Calculate k.
-14, 8
Let x = -142 - -213. Factor -80 - 89*n + 4*n**4 - 12*n**4 - 120*n**2 + 3*n**4 - 40*n**3 - x*n.
-5*(n + 2)**4
Let f(k) = -3*k**3 - 25*k**2 + 64*k - 31. Let o(t) = 1 - 37*t**2 - 9 - 28 + 97*t - 11 - 5*t**3. Let n(w) = 8*f(w) - 5*o(w). Suppose n(j) = 0. What is j?
1, 13
Let k(o) = 10*o**2 - 2*o - 2. Let m(y) be the third derivative of -7*y**5/20 + y**4/8 + 2*y**3/3 + 2*y**2. Let i(u) = -14*k(u) - 6*m(u). Factor i(c).
-2*(c - 1)*(7*c + 2)
Let 1/5*a**2 - 391/5 + 78*a = 0. Calculate a.
-391, 1
Let g = 203724 + -203720. Let -4/17*n**3 + 0*n**2 + 2/17*n**5 + 0*n + 0 + 2/17*n**g = 0. What is n?
-2, 0, 1
Let n(o) be the third derivative of -o**5/90 + 15*o**4/2 - 1064*o**3/9 + 2*o**2 - 5795. Factor n(r).
-2*(r - 266)*(r - 4)/3
Factor 11878*f**2 - 309 + 11 + 192*f - 78 - 11880*f**2.
-2*(f - 94)*(f - 2)
Let o = 1426010 + -1426008. Determine f so that 2/7*f**o - 4/7*f - 30/7 = 0.
-3, 5
Let f(u) be the second derivative of -u**6/50 - 537*u**5/50 + 359*u**4/20 + 115*u. Factor f(b).
-3*b**2*(b - 1)*(b