/3*m - 3/2*m**2 + 178 - 1/12*m**4. Suppose k(r) = 0. Calculate r.
-11, -2, 1
Let b(l) = -9*l**4 - 15669*l**3 + 2043561*l**2 - 2028078*l. Let z(o) = -o**4 - 1567*o**3 + 204356*o**2 - 202808*o. Let g(x) = 4*b(x) - 39*z(x). Factor g(a).
3*a*(a - 260)**2*(a - 1)
Solve -113*t**2 + 112*t**2 - 727552 - 2270*t - 560673 = 0.
-1135
Suppose 1060*h - 105 = 1055*h. Let f be 28/63*h/28. Factor 0 + f*d + 2/3*d**2.
d*(2*d + 1)/3
Let d(j) be the second derivative of j**6/240 - 3*j**5/40 + 5*j**4/16 - j**3/6 - 32*j**2 - 3*j - 2. Let f(a) be the second derivative of d(a). Factor f(l).
3*(l - 5)*(l - 1)/2
Factor 0 + 0*l**2 + 1/2*l**3 - 1/4*l**4 + 0*l.
-l**3*(l - 2)/4
Suppose 1024/9*u - 16/9*u**3 - 2/9*u**4 + 128/9*u**2 + 0 = 0. Calculate u.
-8, 0, 8
Let c(u) = -28*u**3 + 166*u**2 - 296*u + 146. Let y(m) = -24*m**3 + 163*m**2 - 294*m + 145. Let h(x) = -5*c(x) + 6*y(x). Factor h(i).
-4*(i - 35)*(i - 1)**2
Let -22*n**3 - 160*n - 101*n**5 - 124*n**2 + 8*n**4 - 80*n**5 - 64 + 183*n**5 = 0. Calculate n.
-4, -2, -1, 4
Factor 444/7*a - 48 + 990/7*a**2.
6*(5*a - 2)*(33*a + 28)/7
Let w be (-4907)/966 - (-7)/(-21). Let h = 186/23 - w. Determine z, given that 1/2*z**5 - 5/2*z**3 - 16*z - 3/2*z**4 + h*z**2 + 6 = 0.
-3, 1, 2
Suppose 0 = 2*c - 4*n + 24, c + 8*n = 6*n + 16. Let p(d) be the first derivative of -15 + 0*d + 0*d**c + 1/14*d**4 - 2/21*d**3. Solve p(l) = 0.
0, 1
Let w(h) be the third derivative of -h**7/385 - 2*h**6/55 + 21*h**5/22 - h**2 + 32*h. What is f in w(f) = 0?
-15, 0, 7
Let c(s) = 36 - 34 + 4*s**2 + 4*s**3 - 3*s**4 - 9*s**2. Let r(a) = a**3 + a**2 - 1. Let x(m) = -c(m) - 2*r(m). Find p, given that x(p) = 0.
0, 1
Let o(u) be the third derivative of u**5/60 - 293*u**4/6 + 171698*u**3/3 + 523*u**2 - 4*u + 1. Factor o(x).
(x - 586)**2
Let j be (-18)/2*8*7/(-840). Factor 2/5 + 1/5*y - 1/5*y**3 + 1/5*y**4 - j*y**2.
(y - 2)*(y - 1)*(y + 1)**2/5
Let z be 129/33 - 223/(-2453). Suppose -4/11*q**z + 0*q + 0*q**2 + 0 + 2/11*q**3 + 2/11*q**5 = 0. What is q?
0, 1
Let q(u) = 7*u**4 + 1368*u**3 + 6*u**2 - 2. Let d(t) = -50*t**4 - 9575*t**3 - 45*t**2 + 15. Let r(m) = 2*d(m) + 15*q(m). Find g such that r(g) = 0.
-274, 0
Let q(j) = -183 + 5*j + 12*j + 22*j + 102 - 192. Let l be q(7). Factor 2/3*t**3 + l + 4/3*t - 2*t**2.
2*t*(t - 2)*(t - 1)/3
Let h(f) be the second derivative of 1/2*f**4 + 13*f**2 + 9/100*f**5 + 21*f + 2/5*f**3 + 0. Let j(k) be the first derivative of h(k). Factor j(t).
3*(t + 2)*(9*t + 2)/5
Let b(k) be the third derivative of -2*k**7/105 - 49*k**6/30 - 174*k**5/5 + 962*k**4/3 - 2704*k**3/3 - 4*k**2 - 110. Factor b(w).
-4*(w - 2)*(w - 1)*(w + 26)**2
Let t be (-2)/(-5) + 2954/(-560) + 5. Let o(m) be the first derivative of -5/4*m**2 + 10 + m + 2/3*m**3 - t*m**4. Determine x, given that o(x) = 0.
1, 2
Let b(z) be the third derivative of -z**8/504 + 19*z**6/180 + z**5/3 - 3714*z**2. Let b(f) = 0. Calculate f.
-3, -2, 0, 5
Let t = 142 - 138. Suppose t*q = -17 + 25. Suppose -8/5*z + 2/5*z**q + 6/5 = 0. What is z?
1, 3
Suppose 4*b = -2*v + 8880, -3*b - v - v = -6660. Determine l, given that -b*l**3 + l**4 + 9*l**2 + 0*l**2 - 4*l + 2214*l**3 = 0.
0, 1, 4
Factor -117/4 + 59/2*p - 1/4*p**2.
-(p - 117)*(p - 1)/4
Let d(a) be the third derivative of -1/200*a**6 + 0*a**5 + 7/40*a**4 + 0 + 0*a - 3/5*a**3 + 5*a**2. Solve d(o) = 0.
-3, 1, 2
Let d(f) be the first derivative of -169*f**6/6 + 5642*f**5/5 - 45321*f**4/4 - 29512*f**3/3 - 2312*f**2 - 3339. Suppose d(b) = 0. What is b?
-4/13, 0, 17
Let t(k) be the third derivative of -k**5/30 + 323*k**4/12 - 320*k**3 - 47*k**2 + 48*k. Factor t(v).
-2*(v - 320)*(v - 3)
Let p be (-4)/(-22) + 1156/(-187). Let r be p/8*8/(-3). Determine c so that -1/4*c**3 + 1/8*c + 1/4*c**r + 1/8*c**5 - 1/8*c**4 - 1/8 = 0.
-1, 1
Let u(w) = -812*w**2 + 3*w - 5. Let g be u(1). Let p = g - -5710/7. Factor -3/7*r**2 - p*r + 0.
-3*r*(r + 4)/7
Let b(l) be the first derivative of -l**3/18 + 37*l**2/4 + 57*l + 1737. Factor b(y).
-(y - 114)*(y + 3)/6
Let m(p) be the second derivative of -p**6/6 - 5*p**5/4 + 5*p**4/2 + 5921*p. Determine z, given that m(z) = 0.
-6, 0, 1
Let f = 9 - 14. Let l(q) = 153*q + 3*q**2 - 136*q - 8 - 17*q**2. Let d(k) = -13*k**2 + 16*k - 7. Let m(a) = f*d(a) + 4*l(a). Solve m(x) = 0 for x.
1/3, 1
Let -17*j**4 - 3*j**5 + 147*j**3 + 276 + 82*j + 399*j**2 - 118*j**4 - 766*j = 0. Calculate j.
-46, -2, 1
Suppose 301 = 35*a + 8*a. Suppose -a = -p + i, -13*i + 9*i = -2*p + 22. Factor 0 - 2*z**2 - 8/7*z**p + 4/7*z.
-2*z*(z + 2)*(4*z - 1)/7
Let x(f) be the third derivative of 5*f**5/42 - 4405*f**4/21 + 3104644*f**3/21 - 2*f**2 - 3*f - 11. Determine y so that x(y) = 0.
1762/5
Let k = -93543 + 1028985/11. Factor 2/11*x**2 + k*x + 16/11.
2*(x + 2)*(x + 4)/11
Let t = -122 + 115. Let j(l) = 3*l**3 - 114*l**2 - 679*l - 576. Let v(f) = 2*f**3 - 58*f**2 - 340*f - 288. Let z(q) = t*v(q) + 4*j(q). Factor z(w).
-2*(w + 1)*(w + 12)**2
What is i in 27 + 116*i**2 + 28*i + 101*i**2 - 328*i**2 + 112*i**2 = 0?
-27, -1
Let a(k) be the first derivative of -1/2*k**3 - 10 - 3/32*k**4 + 21/4*k**2 - 12*k. Factor a(n).
-3*(n - 2)**2*(n + 8)/8
Let r be (-5)/(-6)*((2 - 11)/9)/(-5). Suppose 2/3*g + 1/2 + r*g**2 = 0. What is g?
-3, -1
Let -400*g**2 + 224*g**3 + 1474/7*g - 242/7 = 0. What is g?
11/28, 1
Let n(x) be the second derivative of -11*x**7/14 + 59*x**6/5 - 144*x**5/5 + 19*x - 45. Factor n(f).
-3*f**3*(f - 2)*(11*f - 96)
Suppose -3*h = -3*h + 2*h. Let x = 382 - 377. Factor t**3 - 1/2*t + 0*t**4 + 0*t**2 + h - 1/2*t**x.
-t*(t - 1)**2*(t + 1)**2/2
Let z be (-7 - (7 - 12))*2602/10. Let i = z - -522. Factor -i + 4*h + 4/5*h**3 - 16/5*h**2.
4*(h - 2)*(h - 1)**2/5
Let a = 6091 - 6091. Let o(p) be the third derivative of 1/10*p**5 + 0*p - 15*p**2 + 0*p**3 + a + 1/8*p**4 + 1/40*p**6. Factor o(s).
3*s*(s + 1)**2
Let d(z) be the first derivative of -1/9*z**3 + 0*z - 2/3*z**2 - 39. Factor d(t).
-t*(t + 4)/3
Let z(r) = -r**2 - 4*r + 2. Let u be z(-3). Suppose -4*m + 3*m + 12 = 4*y, m = -u*y + 12. Factor m*p**3 + 8*p + 370*p**4 - 366*p**4 - 24*p.
4*p*(p - 1)*(p + 2)**2
Suppose -9*n + 171 = 48*n. Let o(b) be the first derivative of -5*b**2 - 3 + 5/3*b**n + 0*b. Factor o(y).
5*y*(y - 2)
Let h(p) be the third derivative of -9/7*p**3 - 3/28*p**4 + 1/420*p**6 + 0*p - 139*p**2 + 1/70*p**5 + 0. Suppose h(x) = 0. Calculate x.
-3, 3
Factor 96*h + h**2 - 9684 + h**2 - 3*h**2 + 8991 - 2*h**2.
-3*(h - 21)*(h - 11)
Let o(h) be the second derivative of -h**7/630 - h**6/90 + 7*h**5/180 + 5*h**4/36 + 29*h**2 + 309*h. Let w(z) be the first derivative of o(z). Factor w(t).
-t*(t - 2)*(t + 1)*(t + 5)/3
Suppose 1680 + 126 = -7*k. Let z = k - -519/2. Factor -z*w**2 - 24 + 12*w.
-3*(w - 4)**2/2
Factor 873/5*n**2 + 879/5*n + 294/5 - 3/5*n**4 + 57*n**3.
-3*(n - 98)*(n + 1)**3/5
Suppose -2*n - 5*j - 73 = 23, 2*n - 4*j = -60. Let x = n - -98. Factor -5*u**2 - 60 + x.
-5*u**2
Let a be ((-12)/(-6))/(3 - -1). Factor -a*n**3 - 7/4*n**4 - n**5 + 0*n + 0 + 1/4*n**2.
-n**2*(n + 1)**2*(4*n - 1)/4
Let -336/5 - 3/5*h**2 - 66/5*h = 0. Calculate h.
-14, -8
Find f, given that 425*f - 3*f**4 - 101*f + 69*f**2 - 325 + 53*f**3 - 215 - 95*f**3 = 0.
-15, -3, 2
Let l(x) = 5*x**3 - 39*x**2 - 88*x + 2. Let y(g) = -14*g**3 + 78*g**2 + 175*g - 5. Let d(b) = -5*l(b) - 2*y(b). Solve d(i) = 0.
-10, -3, 0
Let h(i) be the second derivative of i**5/80 - 23*i**4/48 + 11*i**3/12 + 46*i + 3. Factor h(a).
a*(a - 22)*(a - 1)/4
Let g(u) be the second derivative of u**7/42 - 361*u**6/30 - 1089*u**5/20 - 1091*u**4/12 - 182*u**3/3 + 5*u - 3. Factor g(t).
t*(t - 364)*(t + 1)**3
Let v(o) be the third derivative of 100*o**2 - 5/32*o**4 + 0*o + 7/4*o**3 + 0 - 1/80*o**5. Factor v(p).
-3*(p - 2)*(p + 7)/4
Let q(w) = 6*w**5 - 82*w**4 + 304*w**3 - 264*w**2 - 370*w + 286. Let n(r) = 3*r**3 + r**2 - r + 1. Let g(o) = -2*n(o) - q(o). Suppose g(m) = 0. What is m?
-1, 2/3, 3, 8
Let k(m) = -m**2 - 9*m. Let o be k(-9). Let x = 54587/300168 - 1/27288. Factor -x*b**2 + o - 4/11*b.
-2*b*(b + 2)/11
Let s = 20 - 94. Let c = s + 76. Suppose -2*v - 4*v**4 + 36 - v**4 - 18*v + 25*v**3 + 4 - 30*v**c = 0. Calculate v.
-1, 2
Let i(m) = -2*m**3 + 28*m**2 - 24*m - 22. Let k be i(13). Let g be ((-4)/5)/(k + (-242)/55). Factor -24*v - 14/3*v**3 + 16/3 + 20*v**g.
-2*(v - 2)**2*(7*v - 2)/3
Let x(a) be the second derivative of -a**5/90 + 10*a**4/27 + 803*a**3/27 + 1694*a*