ivative of s(v). What is m in o(m) = 0?
-27, 0
Suppose -2*h + 12 = -0*h + 2*c, -3*c = -3*h - 6. Factor 2*f**2 - 11*f**h + 3*f**3 - 139*f + 133*f + 0*f**5 + 3*f**5 + 9*f**4.
3*f*(f - 1)*(f + 1)**2*(f + 2)
Let u = 115320/17 + -576532/85. Factor 0*r + 0 - 16/5*r**3 + 0*r**2 - u*r**4.
-4*r**3*(r + 4)/5
Let r(h) be the first derivative of h**4/10 - 4*h**3/15 - 697. Find w such that r(w) = 0.
0, 2
Let s(n) be the first derivative of 5*n**3/3 - 2155*n**2 + 928805*n + 477. Factor s(u).
5*(u - 431)**2
Let r = 279720 - 279720. What is y in -4/5*y**2 + r - 4*y = 0?
-5, 0
Let i(r) be the third derivative of 1/180*r**5 + 0*r + 0*r**3 + 0 - 11/24*r**4 - 140*r**2. Factor i(c).
c*(c - 33)/3
Find m such that -4*m**3 - 450 - 198 - 36*m + 432*m - 48*m**2 = 0.
-18, 3
Let w(l) = l**2 - 5346*l - 1732. Let v(b) = 1337*b + 432. Let g(x) = 33*v(x) + 9*w(x). Factor g(k).
3*(k - 444)*(3*k + 1)
Let h(c) be the first derivative of 1/12*c**3 - 31 - 7/8*c**2 + 3/2*c. Factor h(z).
(z - 6)*(z - 1)/4
Let n(w) be the second derivative of 0*w**2 + 0*w**4 + 0*w**3 - 1/63*w**7 - 16/15*w**5 + 0 - 4/15*w**6 + 60*w. Suppose n(a) = 0. Calculate a.
-8, -4, 0
Suppose -5*l - 85 = -0*l. Let o be (-11)/(-66) - l/6. What is g in 10*g**4 - 124*g - 14*g**2 + 4 + 2*g**3 + 3*g**3 + 118*g + g**o = 0?
-1, 2/5, 1
Let y(s) = -s**3 + 5*s**2 + 4*s - 4. Let o be y(5). Suppose 5*w + 3*w = o. Factor -15*t**4 - 3*t**5 - 18*t**3 + 44 + 24*t + 12*t**w - 44.
-3*t*(t - 1)*(t + 2)**3
Let t be (-208)/(-40) + (12/15 - 1). Solve 0*z**2 - 38*z - t + 2*z**3 - 1 + z**2 - 14 - 17*z**2 = 0.
-1, 10
Let l(k) be the first derivative of -17/7*k**2 - 60 - 1/21*k**3 - 289/7*k. Factor l(g).
-(g + 17)**2/7
Let x(c) = -2*c**2 + 8*c - 2. Let b be x(3). Factor b*v**5 + 14029 - 4*v**3 - 14029.
4*v**3*(v - 1)*(v + 1)
Suppose 0 = 59*z - 65*z + 24. Suppose 5*o - 11*k - 8 = -13*k, -3*o + k = z. Factor o + 1/4*j**4 + 1/4*j**3 - 1/4*j - 1/4*j**2.
j*(j - 1)*(j + 1)**2/4
Let u = 2651/4 - 659. Let g(w) = 4*w**2 - 760*w - 7998. Let b be g(200). Factor u + 25/4*a + 5/2*a**b.
5*(a + 1)*(2*a + 3)/4
Let f(b) be the first derivative of 2*b**5/35 - 75*b**4/14 + 144*b**3/7 - 1193. Solve f(v) = 0.
0, 3, 72
What is a in 1/3*a**2 - 25/3 + 1/3*a**3 - 25/3*a = 0?
-5, -1, 5
Let l(f) = -4*f + 32. Let m(y) = 7*y**2 - 98*y + 8. Let s be m(14). Let z be l(s). Suppose 0*g**2 + 2/11*g**4 - 2/11*g**3 + 0*g + z = 0. What is g?
0, 1
Let i(s) = s**4 + s. Let y be (-615)/195 + 4/26. Let m(z) = z**5 + 2*z**4 - 4*z**3 + 4*z**2 + 3*z. Let u(q) = y*i(q) + m(q). Find w such that u(w) = 0.
-2, 0, 1, 2
Find p such that -104*p + 24 + 452*p**2 + 46*p**4 + 8*p**4 - 278*p**2 - 8*p**5 - 140*p**3 = 0.
3/4, 1, 2
Let a = -3188770/7 + 457294. Factor -384/7*u - a - 3/7*u**2.
-3*(u + 64)**2/7
Let w = 264738 + -1323678/5. Suppose w*k**2 + 8/5*k + 0 + 1/5*k**4 + 6/5*k**3 = 0. Calculate k.
-2, 0
Let g be 30330/(-3033) - 58/(-1)*(570/35 + 6). Factor -268/7*n - 2/7*n**2 - g.
-2*(n + 67)**2/7
Let h(m) be the first derivative of -m**4/12 - 8*m**3/3 - 30*m**2 - 144*m + 1601. Solve h(l) = 0.
-12, -6
Let j(t) = t**3 - 46*t**2 + 87*t + 47. Let b be j(44). Factor -381*n**4 + 156 + 3*n**5 + 2119*n - 885 + n**5 + 268*n**4 + 1769*n + 1108*n**b - 4158*n**2.
(n - 9)**3*(n - 1)*(4*n - 1)
Let a be (-5)/6 + 1 + (-371)/(-42). Let n be 29/a - 70/315. Find j such that -2/9*j + 2/9*j**n - 4/9 - 2/9*j**4 + 2/3*j**2 = 0.
-1, 1, 2
Let -1240/3*c**3 + 116/3*c**4 + 656/3*c + 80/3 + 1028/3*c**2 + 80/3*c**5 = 0. Calculate c.
-5, -1/4, -1/5, 2
Let m = -1639 - -1642. Let v = 5 - 1. Let 32*f**v + 2*f**m - 18*f**3 + 8*f**5 + 12*f**5 = 0. What is f?
-2, 0, 2/5
Suppose 4*t = -8*t + 6132. Suppose t*w - 40 = 503*w. Factor 3/4*f**2 - 1/2*f + 1/4*f**3 - 3/4*f**4 + 0 + 1/4*f**w.
f*(f - 2)*(f - 1)**2*(f + 1)/4
Suppose 13 = -19*j - 2*j + 13. Let k(n) be the second derivative of 0 + 1/100*n**5 + j*n**2 + 21*n + 1/60*n**4 + 0*n**3. Let k(i) = 0. What is i?
-1, 0
Let v = -141 - -226. Let f = v - 77. Let -128*g**2 - 6*g**3 + 116*g**2 + 6*g**3 + 4*g**4 - f*g = 0. What is g?
-1, 0, 2
Let v = 274 + -314. Let n be v/(-18) - (-36)/(-162). Find m, given that 46/15*m - 14/15*m**n - 4/5 = 0.
2/7, 3
Let r = 4 - 330. Let k = r - -1634/5. Factor 6/5*q**2 + 8*q**3 + 0 - k*q.
2*q*(4*q - 1)*(5*q + 2)/5
Let t be 5 + -6 + (1 - 32). Let i = 36 + t. What is u in 20*u**5 - 2*u**i + 10*u**2 - 36*u**5 + 0*u**4 + 18*u**5 - 6*u**3 - 4*u = 0?
-2, 0, 1
Let l(f) = 3*f + 17. Let r be l(-5). Let b be r/(-8)*(14 - 222/15). Factor 0*g - 1/5 + b*g**2.
(g - 1)*(g + 1)/5
Let h(l) be the third derivative of l**7/70 + 9*l**6/5 - 73*l**5/20 - 1119*l**2. What is a in h(a) = 0?
-73, 0, 1
Let g = 639216 + -639216. Factor -28/9*m + g - 2/9*m**2.
-2*m*(m + 14)/9
Find p, given that 169/8*p + 83/8*p**2 - 1/8*p**3 + 85/8 = 0.
-1, 85
Determine h so that -53*h**2 - 13*h**3 - 1200*h + 477*h**2 + h**3 - 624 - 592 + 504*h**2 = 0.
-2/3, 2, 76
Let s(j) be the third derivative of -j**6/1620 - 2*j**5/135 - 5*j**4/36 - 5*j**3/2 + 5*j**2 - 1. Let v(b) be the first derivative of s(b). Factor v(l).
-2*(l + 3)*(l + 5)/9
Suppose -5*y - h + 9 = -7, -16 = 4*h. Determine m so that 9*m**2 + 20*m**3 + 5*m**3 + 16*m**4 + y*m**5 - m**2 - 5*m**3 = 0.
-2, -1, 0
Suppose -2*l - 21948*c - 24 = -21944*c, 3*l = 3*c + 63. Suppose l*y + 4/9*y**2 - 46/9 = 0. Calculate y.
-23, 1/2
Let c = 2 + 2. Let r be (-2529)/843 + (100/(-36))/(-1) + 2. Let 32/9 - r*b**2 + 32/9*b - 32/9*b**3 - 14/9*b**c - 2/9*b**5 = 0. What is b?
-2, 1
Let y be (-22)/(-9 - 2)*1. Let r(s) be the first derivative of -y + 9/10*s**2 + 1/5*s**3 - 12/5*s. Let r(z) = 0. Calculate z.
-4, 1
Let x be (-1591)/22200*-30 + 2/(-5). Factor 0 + x*h - 1/8*h**3 + 13/8*h**2.
-h*(h - 14)*(h + 1)/8
Let t(p) be the second derivative of p**6/105 - 39*p**5/70 - 41*p**4/42 + 13*p**3/7 + 40*p**2/7 + 3197*p. Let t(s) = 0. Calculate s.
-1, 1, 40
Factor 3/4*f**3 + 0 + 15*f - 63/4*f**2.
3*f*(f - 20)*(f - 1)/4
Let d(a) = a - 4*a + 3 + 0*a. Let i be d(0). Factor -t**4 - t**5 + 2*t**4 + 2*t**i - 2 - 2*t**2 + 3 - t.
-(t - 1)**3*(t + 1)**2
Let o(x) = 8*x**4 - 3979*x**3 + 7979*x**2 - 3972*x - 9. Let y(w) = 5*w**4 - 1990*w**3 + 3990*w**2 - 1985*w - 5. Let g(u) = 5*o(u) - 9*y(u). Factor g(c).
-5*c*(c - 1)**2*(c + 399)
Suppose 4*w + 130 - 3 = b, 4*b - 440 = -w. Let 16*o**3 - 159*o**2 + b*o**2 + 392 - 12*o**3 - 84*o - 8*o**3 = 0. Calculate o.
-7, 2
Let y(q) be the first derivative of 45 + 7/45*q**5 + 13/18*q**4 + q**3 - 4/9*q + 2/9*q**2. Let y(p) = 0. Calculate p.
-2, -1, 2/7
What is v in 0 + 6*v**3 + 0*v - 2/3*v**5 - 6*v**2 + 2/3*v**4 = 0?
-3, 0, 1, 3
Determine a so that 62/9 + 47/9*a**2 + 1459/9*a = 0.
-31, -2/47
Let n be (-17)/(-5) - (-387)/(-430). Factor 5/2 - 35/4*p - n*p**4 + 10*p**2 + 5/4*p**5 - 5/2*p**3.
5*(p - 1)**4*(p + 2)/4
Let u be -13 - -14 - (0 - 2). Let s(q) be the first derivative of 2/3*q**u + 0*q + 2/15*q**5 + 1/2*q**4 + 1/3*q**2 - 12. Factor s(g).
2*g*(g + 1)**3/3
Let o(h) = 7*h**2 + 67*h**3 - 66*h**3 - 8*h - 9 - 2*h. Let v be o(-8). Determine k, given that -4*k - 9*k**2 + 2*k - 3*k + 3*k**3 - v*k = 0.
-1, 0, 4
Let g be (-2)/10 + 1700/13500 - (-1738)/135. Solve 0 + 86/5*l**2 + 6/5*l**4 + g*l**3 - 36/5*l = 0 for l.
-9, -2, 0, 1/3
Suppose 88 = -19*g + 2197. Let 31*w**2 - 80*w + 9*w**4 - g*w**2 + 11*w**4 + 5*w**5 = 0. Calculate w.
-2, 0, 2
Let v(t) be the second derivative of -4*t**6/27 + 3287*t**5/90 - 379*t**4/18 - 1802*t**3/27 - 328*t**2/9 - 2*t - 85. Suppose v(x) = 0. Calculate x.
-2/5, -1/4, 1, 164
Let t(z) be the third derivative of -5*z**8/336 - 13*z**7/21 - 5*z**6 + 263*z**5/6 - 2915*z**4/24 + 170*z**3 - 523*z**2 + 4*z + 3. Determine m so that t(m) = 0.
-17, -12, 1
Let p be (0/1)/(-27 + (35 - 7)). Let b(h) be the first derivative of 2/15*h**5 + 0*h - 1/18*h**6 - 15 + 0*h**3 + 0*h**4 + p*h**2. Factor b(q).
-q**4*(q - 2)/3
Factor -512/9*s - 56 - 2/9*s**3 - 134/9*s**2.
-2*(s + 2)**2*(s + 63)/9
Let u(x) be the third derivative of -x**7/630 + 7*x**6/72 + 68*x**5/15 - 9406*x**2. Factor u(n).
-n**2*(n - 51)*(n + 16)/3
Let g(v) be the first derivative of 0*v - 17 + 1/2*v**6 + 0*v**2 + 0*v**3 + 3/4*v**4 - 6/5*v**5. Determine p so that g(p) = 0.
0, 1
Let h(a) = -5*a**2 + 1757*a - 1741. Let x(i) = -2*i**2 + 586*i - 580. Let g(c) = -4*h(c) + 11*x(c). Factor g(d).
-2*(d - 1)*(d + 292)
Suppose -32*p = -36*p - 8. Let n be p/2 - 64/(-48). Factor 0 - 4/3*a**4 +