n**3 + 4*n**2.
-2*(n - 8)*(n + 1)**2/3
Let y(z) = 25*z**2 + 1505*z + 575. Let m(q) = -25*q**2 - 1504*q - 570. Let g(v) = -5*m(v) - 6*y(v). Let g(f) = 0. Calculate f.
-60, -2/5
Let v(q) = 15*q - 209. Let r be v(-28). Let w = -2515/4 - r. Factor w*n**3 + 0 + 1/4*n**2 + 0*n.
n**2*(n + 1)/4
Let q = -1679660/3 + 559888. Factor -8/3 - 1/3*i**4 + 1/3*i**3 + 2*i**2 - q*i.
-(i - 2)**2*(i + 1)*(i + 2)/3
Suppose -15*h + 8632 = 2107. Suppose 437*r - 4 = h*r. Factor -40/7*z**r + 16/7*z + 0 + 4*z**3 - 6/7*z**4.
-2*z*(z - 2)**2*(3*z - 2)/7
Let d = -21/6235 - -28702/6235. Factor 14/5 - 1/5*p**3 + 2*p**2 - d*p.
-(p - 7)*(p - 2)*(p - 1)/5
Let a(b) = b**4 + 12*b**3 + b**2 - 5. Suppose 0*d - 2*d + 7 = h, 3*d = h + 3. Let i(n) = -n**4 - 6*n**3 - n**2 + 2. Let o(y) = d*a(y) + 5*i(y). Factor o(m).
-3*m**2*(m + 1)**2
Let w(g) be the third derivative of 2*g**7/315 + 13*g**6/30 + 23*g**5/5 + 33*g**4/2 + 3*g**2 - 4*g + 2. Solve w(n) = 0.
-33, -3, 0
Suppose -l + p = -6*l + 163, -4*l - 2*p + 134 = 0. Let u be 1/((-6)/4) - l/(-12). Factor 88*a + 89*a - 183*a - 4 - u*a**2.
-2*(a + 1)*(a + 2)
Factor 0 - 369/8*f**3 - 3/8*f**5 - 513/8*f**2 + 0*f - 75/8*f**4.
-3*f**2*(f + 3)**2*(f + 19)/8
Let l(q) = q + 41. Let n be l(-24). Factor -8 + 13*y**3 + 3*y**2 + 4*y**3 - 28*y - y**3 + n*y**2.
4*(y - 1)*(y + 2)*(4*y + 1)
Let y(k) be the second derivative of -2*k**7/21 - 4*k**6/3 - 26*k**5/5 - 8*k**4/3 + 18*k**3 + 36*k**2 - 33*k + 21. Determine c, given that y(c) = 0.
-6, -3, -1, 1
Let z(n) = 2*n**3 + 2*n**2 - 6*n. Let a(r) = 4048144*r**4 - 2040166*r**3 + 261075*r**2 - 1020*r + 1. Let u(t) = -a(t) + z(t). Factor u(c).
-(4*c - 1)**2*(503*c - 1)**2
Let r(x) be the second derivative of 0*x**2 + 0 + 33*x + 7/4*x**3 + 1/8*x**4. Factor r(t).
3*t*(t + 7)/2
Let m(r) be the third derivative of -r**7/2940 - r**6/140 - 2*r**5/35 - 4*r**4/21 - 61*r**3/6 + 105*r**2. Let c(k) be the first derivative of m(k). Factor c(p).
-2*(p + 1)*(p + 4)**2/7
Let w(l) = -3*l**2 - 6. Let g = -12 - -10. Let n(j) = j**2 - 3*j - 1. Let v(f) = g*w(f) - 4*n(f). Factor v(d).
2*(d + 2)*(d + 4)
Let j(d) be the first derivative of -2*d**5/3 + 4*d**4/3 + 194*d**3/9 - 20*d**2 + 7432. What is h in j(h) = 0?
-4, 0, 3/5, 5
Let 4/17*b**3 - 4/17*b - 6*b**4 + 6*b**2 + 0 = 0. Calculate b.
-1, 0, 2/51, 1
Let n(c) be the second derivative of c**4/3 + 118*c**3/21 - 132*c**2/7 + 11*c - 2. What is m in n(m) = 0?
-66/7, 1
Let s(k) be the second derivative of 3*k**7/14 - 29*k**6/10 - 27*k**5/2 + 15*k**4 + 76*k**3 - 144*k**2 + 3*k - 820. Solve s(q) = 0 for q.
-2, 2/3, 1, 12
Suppose 2*d - 11 = -11. Suppose 2*h - 21 + 15 = d. Determine n, given that -8*n**2 - 9 + 22*n**2 + 4*n**3 - n**5 - 5*n**4 - 6*n**h + 3*n = 0.
-3, -1, 1
Let d(u) = 391 + 383 + u**2 - u - 774. Let n(t) = 2*t**2 - 6*t + t**2 + t**3 + t**3 + t**4. Let z(l) = 4*d(l) - n(l). Solve z(i) = 0.
-2, -1, 0, 1
Let i(m) be the first derivative of m**6/9 - 2*m**5/5 - m**4/3 + 4*m**3/3 + m**2/3 - 2*m + 498. Find l, given that i(l) = 0.
-1, 1, 3
Let 1386*p**2 + 221875038 - 2/3*p**3 - 960498*p = 0. Calculate p.
693
Factor 1/10*p**2 - 1/10 + 0*p.
(p - 1)*(p + 1)/10
Suppose -2*m - 18 = s - 56, -m + 3*s = -19. Solve -49*j - m*j - 2 + 4*j**2 + 4*j**3 + 62 = 0 for j.
-5, 1, 3
Suppose 150 = 5*x - 11*i + 6*i, 80 = 2*x + 2*i. Let v = 45 - x. Let -20*h**3 + 5 - v*h**4 + 15/2*h**2 + 35/2*h = 0. What is h?
-2, -1/2, 1
Let i be 1 + (-7)/28 + (-172)/(-720)*-3. Let v(a) be the first derivative of 1/8*a**4 + 5 + 0*a**2 + 0*a**3 + i*a**5 + 0*a. Factor v(k).
k**3*(k + 3)/6
Let p(f) = -6*f**3 + 39*f**2 + 25*f - 10. Let d(q) = 5*q**3 - 37*q**2 - 26*q + 8. Let y(t) = -5*d(t) - 4*p(t). Solve y(k) = 0 for k.
-1, 0, 30
Suppose -4*w - 27092 = 4*f - 8*f, -3*f + 20327 = -5*w. Let -30 + f*v - 3381*v + 3*v**2 - 3415*v = 0. Calculate v.
-1, 10
Factor -19686969/5 - 1/5*v**2 - 8874/5*v.
-(v + 4437)**2/5
Suppose 5055477/5 + 1071/5*t**2 + 3/5*t**3 + 127449/5*t = 0. Calculate t.
-119
Let k(t) be the first derivative of -4*t**5/5 + 44*t**4 + 60*t**3 + 2155. Factor k(z).
-4*z**2*(z - 45)*(z + 1)
Let a(m) be the second derivative of -53/10*m**5 - 4/15*m**6 - 27*m - 36*m**2 - 205/6*m**4 + 0 - 64*m**3. Determine k, given that a(k) = 0.
-6, -1, -1/4
Find a, given that 22/5*a**3 - 6/5*a**4 + 124/5*a + 102/5*a**2 + 48/5 - 2/5*a**5 = 0.
-3, -2, -1, 4
Let p = -530 + 464. Let i be 2/3 + (-253)/p + -3. Factor -i*u - 9/4 + 3/4*u**2.
3*(u - 3)*(u + 1)/4
Suppose -2*n - 47 = -5. Let p be n/(-6) + 2/4. Solve -p - 32*m + 9*m + 17*m - 2*m**2 = 0.
-2, -1
Let n be 0/(-13 - (-6 + -5))*6/12. Determine j, given that n - 2/7*j**2 - 2/7*j = 0.
-1, 0
Let -1334/9 - 104/9*t - 2/9*t**2 = 0. Calculate t.
-29, -23
Factor 4822/7*r**2 + 2908870/7*r + 2904050/7 + 2/7*r**3.
2*(r + 1)*(r + 1205)**2/7
Let v(m) be the third derivative of m**7/420 - m**6/90 - m**5/12 + m**4/2 - m**3 + 2*m**2 - 20. Let l(j) be the first derivative of v(j). Factor l(k).
2*(k - 3)*(k - 1)*(k + 2)
Suppose -11*o + 15*o - 46 = 2*r, 4*o - r - 49 = 0. Suppose -o*w + 38 = 12. Factor 0 + 1/3*t**w + 0*t + 1/3*t**3.
t**2*(t + 1)/3
Let d(l) = l**2 + 374*l + 2212. Let f be d(-6). Let b(q) be the first derivative of 6/7*q**f + 4/35*q**5 + 0*q - 26 + 12/7*q**3 + 0*q**2. Factor b(z).
4*z**2*(z + 3)**2/7
Let n(r) = -r**3 - 9*r**2 + 21*r + 75. Let b be n(-12). Factor 177/5*k**3 - 75 + b*k + 12/5*k**4 + 171*k**2.
3*(k + 5)**3*(4*k - 1)/5
Let m(b) be the third derivative of b**6/300 + b**5/15 - 23*b**4/60 - 44*b**3/5 - 764*b**2. Determine n, given that m(n) = 0.
-11, -3, 4
Determine i, given that 48/11*i - 38/11*i**2 - 12/11*i**3 + 2/11*i**4 + 0 = 0.
-3, 0, 1, 8
Let y(u) be the third derivative of u**7/525 - 8*u**5/75 + 2*u**2 - 307. Find k, given that y(k) = 0.
-4, 0, 4
Let u(l) = -31*l**3 - 59*l**2 - 66*l + 21. Let o(j) = 3*j**3 + 6*j**2 + 7*j - 2. Let n(q) = -21*o(q) - 2*u(q). Factor n(y).
-y*(y + 3)*(y + 5)
Find c, given that 3369/4*c - 3/8*c**2 - 3783387/8 = 0.
1123
Factor 0*y - 63/2*y**2 + y**3 + 0 + 1/2*y**4.
y**2*(y - 7)*(y + 9)/2
Let z be 441368/342 - (-22)/(-209). Let k = z - 1289. Solve k*q**2 + 4/3*q + 4/9 + 2/3*q**3 + 1/9*q**4 = 0 for q.
-2, -1
Suppose -2*n = -7*n + 225. Solve -14*r**2 + n*r + 2*r**3 - 35*r + 2*r**2 = 0 for r.
0, 1, 5
Factor 151 + 995*l**2 - 50*l**3 + 1975*l + 23*l**3 + 32*l**3 + 834.
5*(l + 1)**2*(l + 197)
Let x be (-1 + (-2)/(-5))/(7/(-35)). Suppose j + 2*j - 3*u = 0, 5*j = x*u + 6. Factor 3*n**3 - 4*n - n**4 + 3*n - 2*n**3 + j*n**2 - 2.
-(n - 2)*(n - 1)*(n + 1)**2
Let q be (-164)/336 - ((-880)/(-77) + -12). Let t(r) be the second derivative of 1/6*r**3 - 1/20*r**5 + 18*r + 0 + q*r**4 - 1/2*r**2. Let t(d) = 0. Calculate d.
-1, 1
Let b(y) be the second derivative of 0 - 1/9*y**3 + 3*y + 0*y**2 + 1/8*y**4 - 1/60*y**5. Solve b(g) = 0.
0, 1/2, 4
Factor 379*r + 542*r**2 + 1091*r - 366*r**3 - 366*r**3 - 58*r**2 + 730*r**3.
-2*r*(r - 245)*(r + 3)
Let j be 44/16*(1 - -119). Let k be (1 + -3 - 3)*(-24)/j. Find h, given that 6/11 - k*h**2 - 8/11*h**3 + 8/11*h - 2/11*h**4 = 0.
-3, -1, 1
Let w(n) be the second derivative of n**6/360 + 3*n**5/20 + 37*n**3/2 + 11*n - 11. Let j(h) be the second derivative of w(h). Solve j(m) = 0.
-18, 0
Let k(g) be the first derivative of 0*g**2 - 197 - 7/10*g**4 - 1/5*g**5 + 1/5*g**3 + 0*g. What is s in k(s) = 0?
-3, 0, 1/5
Let c(m) = 7*m**2 - 141*m - 18. Let h be c(20). Let u be -5*(h/30 - 4/(-6)). What is n in 0 + 0*n + 2/5*n**u - 2*n**2 = 0?
0, 5
Suppose 10 = 107*y - 665*y + 10. Suppose y - 2/5*v**3 - 2*v**2 - 12/5*v = 0. What is v?
-3, -2, 0
Factor 2/11*x**2 - 2 - 20/11*x.
2*(x - 11)*(x + 1)/11
Find v such that 72*v + 3*v**3 - 6456 + 6456 - 10*v**2 - 5*v**3 = 0.
-9, 0, 4
Suppose -11417*h**4 - 35*h**5 - 1889086320*h - 1549720*h**3 - 52998892*h**2 + 547008160 - 35605188*h**2 - 613*h**4 = 0. What is h?
-86, 2/7
Let -887*w + 22*w**4 + 456*w + 423*w + 32*w**2 + 62*w**3 = 0. What is w?
-2, -1, 0, 2/11
Factor 0 + 20/9*g - 2/9*g**2.
-2*g*(g - 10)/9
Let n be 46*19/(-3059)*-2. Solve -676/7 - n*q**2 - 104/7*q = 0.
-13
Let z = -2602 + 2605. Let l(v) be the third derivative of -1/60*v**5 + 0 - v**z + 0*v - 16*v**2 + 7/24*v**4. What is s in l(s) = 0?
1, 6
Let i = 28638 + -315004/11. Factor 4/11*l**2 + 0 - i*l**4 + 10/11*l**3 + 0*l.
-2*l**2*(l - 1)*(7*l + 2)/11
Let z be -4 - (37 + -77 + 26). Determine k, given that -30*k - 55/2*k**2 - 5/4*k**4 - 45/4 - z*