200*q - 9*q**2 + 5*q**2 - w - 1220 - q**2 = 0.
-20
What is f in -16/7*f**4 - 4/7*f**5 - 32/7*f + 0 + 40/7*f**2 + 12/7*f**3 = 0?
-4, -2, 0, 1
Let r(p) be the second derivative of -p**7/945 + p**5/90 + p**4/54 - 103*p**2/2 - 2*p + 40. Let t(v) be the first derivative of r(v). Solve t(i) = 0.
-1, 0, 2
Let b(j) be the third derivative of 0*j - 19/600*j**6 - j**2 + 0*j**3 + 3/40*j**4 - 2 - 3/50*j**5 + 4/525*j**7. What is v in b(v) = 0?
-1, 0, 3/8, 3
Let g(q) = -2*q**3 - q**2 - 2. Let z(f) = 11*f**3 + 4683*f**2 + 1460160*f + 151856646. Let w(x) = -3*g(x) - z(x). Determine h so that w(h) = 0.
-312
Factor -8/5*o**2 - 532/5*o + 816/5.
-4*(o + 68)*(2*o - 3)/5
Let k = -1563747 - -32824388/21. Let q = k + 681. Factor 0*p**3 + 0 + 2/21*p**5 + 4/21*p**4 - q*p - 4/21*p**2.
2*p*(p - 1)*(p + 1)**3/21
Let w = 377 + -215. Let w*v + 10*v**5 - 54*v**3 - 56*v + 4*v**5 + 24 + 2*v**4 - 74*v - 34*v**2 = 0. What is v?
-1, 6/7, 2
Let z(v) be the third derivative of v**5/15 + v**4/3 + v**3/2 - 18*v**2. Let q be z(-2). Factor 11*d**2 - 17 + d**2 - q + 3*d**3 + 3*d + 2.
3*(d - 1)*(d + 2)*(d + 3)
Let a be -96*(-12)/(-9600)*-25. Determine y, given that 0*y**2 + 1/2*y**5 + 2*y**4 - 6*y**a + 0 + 0*y = 0.
-6, 0, 2
Let h(s) = -25*s**2 + 43*s - 120. Let z(b) = -6*b**2 + b. Let l(u) = -h(u) + 5*z(u). Factor l(k).
-(k + 10)*(5*k - 12)
Let r be (0 - 4 - -7)/((-3)/(-16)). Let l = r - 0. Factor 41*c + 4*c**3 + l*c**2 - 29*c + 4 - 3*c**2 - c**2.
4*(c + 1)**3
Let s(v) be the first derivative of 8*v**6/3 - 12*v**5 - 42*v**4 - 92*v**3/3 - 1847. Factor s(o).
4*o**2*(o + 1)**2*(4*o - 23)
Let g(x) be the third derivative of -1/30*x**6 + 39*x**2 - 1/5*x**5 + 1/3*x**3 + 0*x - 1/12*x**4 + 0 + 1/56*x**8 + 1/21*x**7. Factor g(j).
2*(j - 1)*(j + 1)**3*(3*j - 1)
Suppose 0*s + 18*s = -144. Let f be s + ((-715)/(-35) - 9). Solve -72/7 - f*y - 2/7*y**2 = 0.
-6
Let k = -123673/104 - -15464/13. Determine q, given that 75/2*q - 1875/2 - k*q**2 = 0.
50
Let f be (-2 + (-110)/(-4))*(-18)/(-27). Let p(z) = -195*z**2 + 197*z + 15. Let x(l) = -65*l**2 + 66*l + 5. Let q(y) = f*x(y) - 6*p(y). Factor q(n).
5*(n - 1)*(13*n + 1)
Let y be (-818)/(-120) + ((-8)/10 - 0) + -6. Let d(q) be the second derivative of 0 + y*q**5 + 5/36*q**4 + 2/3*q**2 + 4/9*q**3 + 17*q. Factor d(m).
(m + 1)*(m + 2)**2/3
Let v = 10/769 - -619/11535. Let g(j) be the third derivative of -7/6*j**4 + 0 - 4*j**3 - v*j**5 + 0*j - 10*j**2. Factor g(h).
-4*(h + 1)*(h + 6)
Let y be ((-2)/(-3))/(456/(-171))*-12. Suppose 66/13*t + 46/13*t**2 - 2/13*t**4 + 28/13 + 6/13*t**y = 0. Calculate t.
-2, -1, 7
Let h(o) = 2*o**5 + 4*o**4 + o**3 + 7*o**2. Let s(j) = 33*j**5 + 258*j**4 + 798*j**3 + 918*j**2. Let w(f) = -18*h(f) + s(f). Determine b, given that w(b) = 0.
-2, 0, 66
Let -152*w + 194*w**3 - 170*w**3 - 84 + 19*w**2 - 29*w**2 + 4*w**4 - 38*w**2 = 0. What is w?
-7, -1, 3
Suppose 795 + 1836 = 961*k - 252. Factor 1/7*s**k + 6/7*s**2 + 12/7*s + 8/7.
(s + 2)**3/7
Factor -2185*c**2 + 708*c + 1058*c**2 + 3*c**4 - 708*c**3 + 1124*c**2.
3*c*(c - 236)*(c - 1)*(c + 1)
Let t(x) be the third derivative of x**5/72 - 5*x**4/144 + 3346*x**2 - 2. What is r in t(r) = 0?
0, 1
Let o(j) be the second derivative of 75/2*j**2 - 13*j**3 + 1/4*j**4 + 64*j + 0. Factor o(a).
3*(a - 25)*(a - 1)
Let g = -60 + 104. Let y = g - 42. What is a in 0*a + 2*a**y - 29 - 7*a**2 - 11 - 30*a = 0?
-4, -2
Let n = 21 + -21. Suppose -5*q + 26 + 4 = n. Find i such that 3 + i**2 + q*i + 7 - 5 = 0.
-5, -1
Let b(o) = 17*o**2 + 14*o + 110. Let i be b(-6). Let u = i - 636. Find k such that -2/9*k**5 + 0 + 0*k**4 + 0*k + 2/3*k**3 + 4/9*k**u = 0.
-1, 0, 2
Let t(p) be the second derivative of -p**4/28 - 339*p**3/7 - 344763*p**2/14 - 854*p. Find r such that t(r) = 0.
-339
Let d(m) be the first derivative of 4*m**3/3 - 508*m**2 + 1780. Factor d(x).
4*x*(x - 254)
Let z = -328037 - -328039. Solve 4/7*i**z - 38/7 + 74/7*i = 0 for i.
-19, 1/2
Let z(k) = -57*k**2 - 2626*k - 598. Let c(j) = 55*j**2 + 2625*j + 595. Let o(w) = -6*c(w) - 5*z(w). Suppose o(t) = 0. Calculate t.
-58, -2/9
Let d be (11 + (-7 - 0) - 8)*-2. Factor 2/7*v**5 + 50/7*v**3 + 16/7 + 76/7*v**2 + d*v + 16/7*v**4.
2*(v + 1)**2*(v + 2)**3/7
Let q(l) = l**3 - 5*l**2 + 5*l. Let i(s) = 6*s**2 - 6*s. Let p(t) = 2*i(t) + 3*q(t). Let c be p(2). Let -j**3 - 2*j**3 + 3*j**2 - c + 6*j + 18 = 0. What is j?
-1, 0, 2
Let w(m) be the second derivative of 1/120*m**5 + 1/4*m**3 + 0*m**2 - 19 + 1/12*m**4 - m. Find k, given that w(k) = 0.
-3, 0
Let o(m) be the first derivative of m**4/26 - 2*m**3 + 170*m**2/13 + 2906. Factor o(l).
2*l*(l - 34)*(l - 5)/13
Let t(x) be the second derivative of x**4/42 - 229*x**3/21 - 230*x**2/7 - 321*x - 1. Factor t(f).
2*(f - 230)*(f + 1)/7
Find n such that -3*n**2 - 620546*n + 620248*n + n**2 = 0.
-149, 0
Let f = 9/436 - -5187/2180. Let t(c) be the first derivative of 28/15*c**3 + 3/10*c**4 - 12 + 17/5*c**2 + f*c. Suppose t(w) = 0. What is w?
-3, -1, -2/3
Let q(j) be the third derivative of j**7/315 - 11*j**6/180 - j**5/9 + 56*j**4/9 + 128*j**3/3 - 555*j**2 - 4*j. Solve q(u) = 0 for u.
-3, -2, 8
Suppose -4*b - 19 = 5. Let q be 2*15/b*-1. Factor -16 + q*n**2 - 20*n - 14*n**2 + 4*n**2 - 4.
-5*(n + 2)**2
Suppose 5*u = 11*u - 60. Suppose -5*s + 2 = x, -4*s = -4*x + u - 2. Solve 0*d + 41*d**2 - 48*d**x - 2*d**3 + 2*d - 2 - 9*d = 0.
-2, -1, -1/2
Let l(s) be the third derivative of s**7/420 - s**6/36 + s**5/10 - 29*s**3/3 + 75*s**2. Let c(k) be the first derivative of l(k). Factor c(t).
2*t*(t - 3)*(t - 2)
Let f(c) = -7*c**2 + 370*c + 373. Let o(v) = -v**2 - 1. Let d(i) = f(i) - 2*o(i). Find g, given that d(g) = 0.
-1, 75
Determine y, given that -60*y**2 - 548/5*y - 12/5*y**3 + 4/5*y**4 - 264/5 = 0.
-6, -1, 11
Let j be (-14)/((-238)/(-34))*(20/(-52))/1. Factor j*h**3 + 44/13*h**2 - 34/13*h - 20/13.
2*(h - 1)*(h + 5)*(5*h + 2)/13
Let a(q) be the third derivative of -q**6/60 - q**5/90 + 65*q**3/6 + 2*q**2 + 38*q. Let b(j) be the first derivative of a(j). Find y, given that b(y) = 0.
-2/9, 0
Let b be ((-3)/9)/(2/(-12)). Find o such that -19*o**3 - 53*o**3 + 88*o + 2*o**4 + b*o**4 + 96*o**2 + 28 + 112*o**3 = 0.
-7, -1
Suppose -2*b - 5*x - 31 = 15, 4*x + 50 = 5*b. Determine d, given that 15/4 + 1/4*d**b + 4*d = 0.
-15, -1
Let p(a) be the first derivative of -2*a**3 + 5 + 0*a**5 + 0*a - 1/156*a**4 + 1/2340*a**6 + 0*a**2. Let s(x) be the third derivative of p(x). Factor s(t).
2*(t - 1)*(t + 1)/13
Suppose 42 = 2*u - z - 3*z, 5*z = 2*u - 42. Let m(r) = 2*r**3 - 40*r**2 - 42*r. Let g be m(u). Factor -5/6*v**5 + 0*v**4 + 0*v + 0*v**2 + g + 0*v**3.
-5*v**5/6
Let z(n) be the first derivative of 2*n**5/5 + 25*n**4/8 + 3*n**3/2 - 11*n**2/2 - 53. Let w(b) be the second derivative of z(b). Find l such that w(l) = 0.
-3, -1/8
Suppose -5 = -5*u - 3*h, 0*u + u - 4*h - 24 = 0. Let q be -1 + -1 + 6 - 1. Factor 11*y**3 - 15*y**3 - 11*y**q - 5*y**5 - 20*y**u.
-5*y**3*(y + 1)*(y + 3)
Let m(u) be the third derivative of -u**5/80 + 69*u**4/32 - 40*u**3 - 86*u**2 - 4*u. Find p, given that m(p) = 0.
5, 64
Solve -5/2*f**2 + 185/2*f + 195 = 0 for f.
-2, 39
Let g(n) be the second derivative of -3/25*n**5 + 0 + 0*n**2 + 36*n - 1/5*n**3 + 0*n**6 + 1/105*n**7 + 4/15*n**4. Determine a, given that g(a) = 0.
-3, 0, 1
Let u = -41 + 43. Factor -u*t**2 - 19*t - 1091 + 44*t + 59*t + 209.
-2*(t - 21)**2
Let j(r) be the first derivative of r**8/336 - r**7/56 + r**6/36 - 10*r**3 + 168. Let f(n) be the third derivative of j(n). Factor f(i).
5*i**2*(i - 2)*(i - 1)
Let d(s) be the second derivative of -13 + s + 9*s**4 - 4/15*s**6 + 9/20*s**5 - 1/42*s**7 + 0*s**2 - 18*s**3. Let d(o) = 0. Calculate o.
-6, 0, 1, 3
Solve -78*y + 153/2 + 3/2*y**2 = 0 for y.
1, 51
Let w(i) = -i**5 + i**4. Let x be -5 - (1 + (0 - 5)). Let m(g) = 8*g**5 + 2*g**4 - 25*g**3 - 5*g**2 + 40*g - 20. Let f(n) = x*m(n) - 3*w(n). Factor f(y).
-5*(y - 1)**3*(y + 2)**2
Let m(x) = -5*x**3 - 5*x**2 + 117*x - 11. Let w be m(11). Let y be (w/240)/(-22) + (-1)/3. Factor 0 - 12/5*n**3 + 4/5*n**4 - y*n + 12/5*n**2.
4*n*(n - 1)**3/5
Let l(x) = 3*x**3 + 152*x**2 + 998*x + 4. Let h(j) = 5*j**3 + 305*j**2 + 1995*j + 10. Let c(r) = 2*h(r) - 5*l(r). Factor c(v).
-5*v*(v + 10)*(v + 20)
Let h(m) = -9*m**2 + 35*m - 20. Let t(q) = q**2 - 6*q + 8. Let y(k) = -h(k) - 4*t(k). Find j such that y(j) = 0.
-4/5, 3
Let h = 2 - -1. Let d be (-6