 - 5*x**4 = 0. What is x?
-2, 1
Let y(r) be the third derivative of r**6/40 + 109*r**5/20 + 90*r**4 + 306*r**3 - 2009*r**2. Determine p so that y(p) = 0.
-102, -6, -1
Let l(y) be the third derivative of y**6/900 + 7*y**5/450 - 13*y**4/90 - 8*y**3/5 + 950*y**2 - 2. Solve l(g) = 0 for g.
-9, -2, 4
Suppose -2*o + 4*o = 5*b - 274, 0 = 3*b - 4*o - 170. Let l be (8 - 16)/(b/(-3)). Factor 2/9*h**5 - 2/3*h**4 - 2/3*h + 2/9 + l*h**2 + 4/9*h**3.
2*(h - 1)**4*(h + 1)/9
Let n(c) be the first derivative of -4/3*c**3 + 3/5*c**5 - 15*c - 1/3*c**4 - 7 + 0*c**2. Let s(u) be the first derivative of n(u). Factor s(z).
4*z*(z - 1)*(3*z + 2)
Let t(i) be the second derivative of i**7/630 + 7*i**6/45 + 98*i**5/15 + 7*i**4/4 + i**2/2 - 37*i. Let w(l) be the third derivative of t(l). Factor w(j).
4*(j + 14)**2
Let m be (10/(-16))/((-23)/(-184)) - 31/(-6). What is v in 1/3*v + 7/6*v**2 + 2/3*v**3 - m = 0?
-1, 1/4
Let d(x) = 6*x**2 - 136*x - 216. Let q(s) = s**2 - 27*s - 43. Let m = 59 + -75. Let b(p) = m*q(p) + 3*d(p). Factor b(i).
2*(i + 2)*(i + 10)
Let h(i) be the second derivative of i**5/20 + 445*i**4/12 - 2*i - 65. Factor h(g).
g**2*(g + 445)
Let g(z) be the first derivative of -1/360*z**6 + 1/90*z**5 + 8*z**2 - 1/9*z**3 + 1/72*z**4 - 27 + 0*z. Let f(x) be the second derivative of g(x). Factor f(w).
-(w - 2)*(w - 1)*(w + 1)/3
Let c = -171/5 + 1549/45. Let p = -284 + 2558/9. Factor p*z**2 + c - 4/9*z.
2*(z - 1)**2/9
Find k such that -204/11 + 182/11*k - 4*k**2 + 2/11*k**3 = 0.
2, 3, 17
Let f = -138 + 139. Find y, given that y**2 + 4*y**2 + 0 - f - 4 = 0.
-1, 1
Let f(o) be the third derivative of 5/24*o**6 + 2/21*o**7 - 5/4*o**5 - 10/3*o**3 - 4*o**2 - 25/6*o**4 + 0 + 0*o. Suppose f(v) = 0. Calculate v.
-2, -1, -1/4, 2
Let o(r) be the first derivative of -4*r**5/5 + 26*r**4 - 596*r**3/3 - 352*r**2 - 10938. Let o(s) = 0. What is s?
-1, 0, 11, 16
Factor -2/5*i**3 - 86/5*i - 46/5*i**2 - 42/5.
-2*(i + 1)**2*(i + 21)/5
Find q, given that -778/13*q**4 - 1008/13*q - 6/13*q**5 - 3032/13*q**2 + 0 - 2796/13*q**3 = 0.
-126, -2, -1, -2/3, 0
Let w(d) be the third derivative of 0 + 5/6*d**6 + 53/12*d**5 - 10*d + 2*d**2 + 10/3*d**3 + 35/6*d**4. What is c in w(c) = 0?
-2, -2/5, -1/4
Let v(q) be the third derivative of 0*q + 1/35*q**5 - 1/84*q**4 - 2/7*q**3 - 5*q**2 + 1/420*q**6 - 6. Find k such that v(k) = 0.
-6, -1, 1
Let s(t) be the first derivative of t**6/12 - 19*t**5/10 + 99*t**4/8 - 29*t**3/6 - 109*t**2 - 144*t - 7662. What is o in s(o) = 0?
-1, 4, 8, 9
Suppose 0 = 14*a - 29*a + 600. Find b such that 93*b**2 - b**2 + 2 - 5 - 1 - 59*b**3 + 11*b**3 - a*b = 0.
-1/12, 1
Let w(a) be the third derivative of -a**7/840 + 7*a**6/30 - 98*a**5/5 - 2*a**4/3 - 83*a**2. Let t(n) be the second derivative of w(n). Factor t(k).
-3*(k - 28)**2
Factor 1/4*g**4 + 0 + 6*g + 7*g**2 + 5/2*g**3.
g*(g + 2)**2*(g + 6)/4
Suppose -6*n + 9*n = 5*b + 45, 0 = 5*b. What is w in n*w**2 + w**3 + w**2 + 0*w**3 + w**3 + 12 + 26*w = 0?
-6, -1
Let a(k) be the second derivative of 31*k**5/10 - 173*k**4/3 + 365*k**3/3 - 50*k**2 - 111*k - 27. What is g in a(g) = 0?
5/31, 1, 10
Suppose -3*c + z = -7, -5*c + 6*z - 10*z = -6. Determine t, given that -57*t**3 + 7*t**5 + 2*t**5 + 48*t - 13*t**5 + 24*t**4 + 21*t**3 - 16*t**c = 0.
-1, 0, 2, 3
Let u(o) be the third derivative of -1/30*o**6 + 16*o**3 - 18*o**2 + 0*o + 47/6*o**4 + 22/15*o**5 + 0. Determine q so that u(q) = 0.
-1, 24
Factor 230/9*s + 2/3*s**3 + 200/9 + 68/9*s**2.
2*(s + 5)**2*(3*s + 4)/9
Let o = 57 + -54. Let n = -57 - -59. Find i, given that -i**3 - o*i**n + 12*i**2 + i - 7*i**2 - i**2 - i**4 = 0.
-1, 0, 1
Suppose -69*m + 73*m = 312. Suppose 12*k**3 + 126*k + 88*k**2 + 52*k - m*k + 24 = 0. What is k?
-6, -1, -1/3
Determine j, given that 623*j**5 - 22*j**4 + 10*j**2 - 1189*j**5 + 4*j + 3 - 12*j**3 + 586*j**5 - 3 = 0.
-1/2, -2/5, 0, 1
Let q(j) be the third derivative of j**11/332640 + j**10/50400 + j**9/30240 - j**5/2 - j**3/3 - 115*j**2. Let u(y) be the third derivative of q(y). Factor u(m).
m**3*(m + 1)*(m + 2)
Let h(u) be the first derivative of -u**3/15 + 63*u**2/2 + 634*u/5 - 3182. Determine s, given that h(s) = 0.
-2, 317
Suppose 0 = 3*b - 93. Suppose 4 = 4*m + y - 17, -3*y + b = 4*m. Factor 16*h**m - 2*h + 12*h**3 - 6*h**4 + 2*h**4 - 21*h**2 + 8*h.
3*h*(h + 2)*(2*h - 1)**2
Let i(r) = 3*r**4 - 20*r**3 - 128*r**2 + 102*r - 6. Let p(t) = 6*t**4 - 38*t**3 - 256*t**2 + 206*t - 14. Let s(g) = 14*i(g) - 6*p(g). Factor s(w).
2*w*(w - 12)*(w + 4)*(3*w - 2)
Factor 12800/19 - 8*q**2 - 2560/19*q - 2/19*q**3.
-2*(q - 4)*(q + 40)**2/19
Let b(p) be the third derivative of p**7/840 - 13*p**6/480 - 4*p**5/15 - 17*p**4/24 + 10*p**2 + 118*p + 2. Find f such that b(f) = 0.
-2, 0, 17
Let o(i) be the first derivative of -110*i**3/3 - 515*i**2/2 - 90*i + 1557. Factor o(u).
-5*(2*u + 9)*(11*u + 2)
Let d(k) = 20*k**2 - 3232*k + 3188. Let a(y) = 7*y**2 - 1109*y + 1062. Let q(o) = 17*a(o) - 6*d(o). Factor q(b).
-(b - 537)*(b - 2)
Let 1768*z**4 - 100561*z**2 + z**5 + 51246*z**2 + 3*z**5 - 197317*z**2 - 147640*z**2 + 193584*z**3 = 0. Calculate z.
-222, 0, 2
Let g(k) = 2*k**2 + 12*k + 6. Let x be g(-6). Suppose -12 - 18 = -x*y. Solve y*q**5 - 22 - 20*q**3 + 5 + 10*q**2 + 7 + 15*q = 0.
-2, -1, 1
Let x(o) be the second derivative of o**5/40 - 11*o**4/8 - 159*o**2 + 49*o - 3. Let b(c) be the first derivative of x(c). Factor b(a).
3*a*(a - 22)/2
Let p be 13/12 - 0 - 1327/(-5308). Factor 1444/3 + p*n**2 - 152/3*n.
4*(n - 19)**2/3
Suppose 4*n + 156 = 4*b, 3*n = 4*b + 2*n - 162. Let z = b - 39. Factor u**z - 9*u + 8*u + 1 - 1.
u*(u - 1)
Let x(v) = 4*v**3 - 34*v**2 - 186*v - 282. Let z(r) = 8*r**3 - 67*r**2 - 377*r - 565. Let y(a) = 11*x(a) - 6*z(a). What is l in y(l) = 0?
-3, -2, 12
Let k(a) be the second derivative of a**6/300 + a**5/25 + 3*a**4/20 + 4*a**3/15 - 99*a**2 - 155*a. Let x(w) be the first derivative of k(w). Factor x(i).
2*(i + 1)**2*(i + 4)/5
Suppose 5*j - i = 280, -4*j - 5*i - 6 = -259. Suppose 5*t + j = 67. Determine f so that -4/5*f + 1/5*f**3 + 4/5 - 1/5*f**t = 0.
-2, 1, 2
Let n(o) be the second derivative of -o**4/12 + o**3/6 - 15*o. Let c(k) = -5*k**2 - 40*k - 72. Let y(t) = c(t) - 2*n(t). What is w in y(w) = 0?
-12, -2
Let h = -264414 + 264416. Factor -4/17*c**h - 18/17 - 38/17*c.
-2*(c + 9)*(2*c + 1)/17
Let d(l) be the second derivative of -1/10*l**5 + 59*l + 0 - 1/30*l**4 + 31/45*l**3 + 7/5*l**2 - 2/225*l**6. What is b in d(b) = 0?
-7, -1, 3/2
Let o(n) be the first derivative of -n**6/15 + n**5/25 + 11*n**4/2 + 344*n**3/15 + 186*n**2/5 + 27*n + 904. Determine s, given that o(s) = 0.
-5, -3/2, -1, 9
Let n(g) be the third derivative of 0*g + 5/3*g**3 + 19/48*g**4 + 0 - 1/120*g**5 - 93*g**2. Factor n(u).
-(u - 20)*(u + 1)/2
Let y(s) be the second derivative of s**6/60 - 33*s**5/40 + 89*s**4/24 + 11*s**3/4 - 45*s**2/2 + s - 515. What is z in y(z) = 0?
-1, 1, 3, 30
Let h be ((30 + -30)/(-6 + 7))/(-6). Factor h*j - 12/11*j**3 + 0 + 2/11*j**4 + 10/11*j**2.
2*j**2*(j - 5)*(j - 1)/11
Let g(f) be the first derivative of -1/4*f**5 - 5/4*f + 0*f**4 + 0*f**2 + 194 + 5/6*f**3. Let g(p) = 0. Calculate p.
-1, 1
Let b = 460416 - 460413. Let 18/5 - 2*u**2 - 1/5*u**b - 7/5*u = 0. Calculate u.
-9, -2, 1
Let t be 68/26 + 2938/(-1469). Find s, given that 2/13*s**3 - t*s**2 - 32/13*s + 128/13 = 0.
-4, 4
Let i be (1 + -1 - 0) + 0. Let v(q) = -2*q**2 + 12*q - 15. Let g be v(2). Factor 0*h - g - h - 1 + i*h + h**2.
(h - 2)*(h + 1)
Factor -137 - r**2 - 140 + 277 + 3*r**2 + 4*r.
2*r*(r + 2)
Let c(f) be the second derivative of 141/4*f**4 - 33/10*f**5 + f + 150*f**2 - 110*f**3 - 1 + 1/10*f**6. Factor c(a).
3*(a - 10)**2*(a - 1)**2
Factor -2100*v**3 + 35765*v**4 + 1056*v**2 + 2472*v**2 - 4*v**5 - 35589*v**4.
-4*v**2*(v - 21)**2*(v - 2)
Let x(h) be the third derivative of -h**6/200 + h**5/10 + 39*h**4/40 - 661*h**2 - 2*h. What is y in x(y) = 0?
-3, 0, 13
Let h(o) be the third derivative of 1/200*o**6 - 3/100*o**5 + 0 - 110*o**2 + 1/20*o**4 + 0*o + 0*o**3. Factor h(v).
3*v*(v - 2)*(v - 1)/5
Let c(b) = -17*b**2 - 1007*b - 2648. Let t(x) = -6*x**2 - 336*x - 874. Let y(s) = 4*c(s) - 11*t(s). Factor y(r).
-2*(r + 3)*(r + 163)
Let x be 0 + (352/20)/4 + -4. Let r be -4 - (-5)/((-25)/(-24)). Solve 2/5*i**3 + x*i + r*i**2 + 0 = 0 for i.
-1, 0
Let 0 + 141*h**3 - 288*h**2 + 3/2*h**4 + 0*h = 0. What is h?
