t*(t - 1)*(t + 2)**2/5
Factor 47 - 409/2*u - 63/2*u**2.
-(7*u + 47)*(9*u - 2)/2
Let k(c) be the second derivative of 0 + 2/7*c**2 - 2/147*c**7 - 2/7*c**5 + 2/21*c**6 + 140*c - 10/21*c**3 + 10/21*c**4. Suppose k(m) = 0. Calculate m.
1
Let x(t) be the third derivative of 1/1176*t**8 + 0*t**3 - 1/140*t**6 - 2 + 0*t + 1/42*t**4 + t**2 + 1/735*t**7 - 1/210*t**5. Determine k, given that x(k) = 0.
-2, -1, 0, 1
Let t be (-28980)/(-63504) - (-9)/(-21). Let a(b) be the third derivative of t*b**4 + 0*b**3 + 0*b + 18*b**2 + 0 + 1/180*b**5. Solve a(s) = 0.
-2, 0
Let s(f) be the second derivative of -5/42*f**7 - 5/2*f**3 + 0*f**2 + 18 + f**5 - 2*f + 5/6*f**4 - 1/3*f**6. Find m such that s(m) = 0.
-3, -1, 0, 1
Suppose -2*h + 4 = -2*k + 14, h + 13 = 5*k. Let b be (-3 - h)/(-2) - -2. Factor 16*u**4 - 2*u + 10*u**5 - 7 + 11 - 8*u**3 + b*u**3 - 2*u**3 - 20*u**2.
2*(u - 1)*(u + 1)**3*(5*u - 2)
Let j(i) be the first derivative of -i**5/20 - 5*i**4/8 - 7*i**2/2 - 3*i + 27. Let f(m) be the second derivative of j(m). Determine t, given that f(t) = 0.
-5, 0
Let y(z) be the second derivative of -z**4/84 + 3*z**3/14 + 23*z**2 + z - 2402. Find d such that y(d) = 0.
-14, 23
Let d(t) = -2*t**2 - 30*t - 3. Let x be d(-12). Let i = x + 33. Factor 105*f**3 + f**4 - i*f**3 - 4*f**4.
-3*f**3*(f - 1)
Suppose 100*x**2 + 34*x**3 - 167 - 165 - 8*x + 188 = 0. Calculate x.
-2, 18/17
Suppose 7*r - 42 = -14. Find f such that -r*f**3 + 16*f + 2*f**4 + 5*f**3 - 24*f + 5*f**3 = 0.
-2, 0, 1
Let -72 + 199 + 5*m**2 - 195*m + 573 = 0. What is m?
4, 35
Let n(j) be the third derivative of 1/4*j**6 + 1/504*j**8 - 125/18*j**4 - 5/18*j**5 + 0*j**3 + 11*j**2 + j + 0 + 13/315*j**7. Find h such that n(h) = 0.
-5, 0, 2
Let p(n) = -11*n + 6. Suppose 5*f + 4*g - 4 = -12, 5*g = -5*f - 5. Let r(i) = i**2 - 10*i + 5. Let y(s) = f*p(s) + 5*r(s). Suppose y(x) = 0. Calculate x.
1/5, 1
Let k(h) be the third derivative of 5*h**5/24 - 35*h**4/96 - 2339*h**2. Let k(z) = 0. Calculate z.
0, 7/10
What is d in -1059 - 315*d**3 - 760*d - 42*d**5 + 65*d**4 + 37*d**5 + 715*d**2 + 1359 = 0?
1, 2, 3, 5
Let p(y) = -5*y**3 + 15*y**2 + 85*y - 65. Suppose 3*d + 4*u - 4 - 7 = 0, -4*u + 8 = 0. Let x(f) = 2*f**2 + 1. Let j(k) = d*p(k) - 10*x(k). Factor j(n).
-5*(n - 3)*(n - 1)*(n + 5)
Let w(b) be the second derivative of 0*b**2 + 0 + 5*b - 1/30*b**4 + 2/5*b**3. Factor w(p).
-2*p*(p - 6)/5
Let b(m) be the second derivative of 5*m**4/12 - 955*m**3/6 + 475*m**2 - m - 16. Determine q, given that b(q) = 0.
1, 190
Factor 528/7 + 6/7*y**3 - 24/7*y - 132/7*y**2.
6*(y - 22)*(y - 2)*(y + 2)/7
Suppose -3*l = 5*v - 53, 0 = -3*l + 7*v - 2*v + 103. Let b = 28 - l. Factor 60*z**4 + 28*z**b - 24*z**2 - 39*z**3 + 4*z**4 + 7*z**3.
4*z**2*(4*z - 1)**2
Let j(t) be the second derivative of t**4/48 - 19*t**3/12 - 39*t**2/8 - t - 1171. Solve j(v) = 0 for v.
-1, 39
Let h(p) be the third derivative of 1/24*p**4 + 0*p + 0*p**3 + 1/180*p**5 - 148*p**2 + 0. Let h(a) = 0. What is a?
-3, 0
Factor 0*k + 128*k**3 + 85/2*k**2 + 3/2*k**4 + 0.
k**2*(k + 85)*(3*k + 1)/2
Let q(c) be the first derivative of -2*c**5/15 + c**4 - 16*c**3/9 + 127. What is o in q(o) = 0?
0, 2, 4
Let i = -11108506/699 - -15892. Let k = i - -44027/3495. Factor 12/5 + k*z**2 - 72/5*z + 147/5*z**3.
3*(z + 1)*(7*z - 2)**2/5
Let 2*b**3 + 1 + 156*b - 36580*b**2 + 36618*b**2 - 1 = 0. Calculate b.
-13, -6, 0
Let l(n) be the second derivative of n**9/4032 - n**8/2240 - n**7/560 + 61*n**3/6 + 12*n. Let x(s) be the second derivative of l(s). Factor x(o).
3*o**3*(o - 2)*(o + 1)/4
Let y(b) be the second derivative of 19/24*b**3 + 1/80*b**5 - 9 + 4*b + 9/8*b**2 + 11/48*b**4. Factor y(i).
(i + 1)**2*(i + 9)/4
Suppose 944*u = 924*u + 40. Let z(q) be the first derivative of -1/21*q**3 - 2/7*q + 3/14*q**u - 15. Solve z(m) = 0 for m.
1, 2
Let a(l) = 6 - 3 + l - 2. Let v(f) = -f + 0*f + 16 + 2*f - 16*f**2 + 15*f - 12*f**3 - 12. Let t(b) = 4*a(b) + v(b). Factor t(z).
-4*(z - 1)*(z + 2)*(3*z + 1)
Let p = -64 + 70. Suppose p*l - 20 = 28. Factor l + 8 - 2*c**2 + 7*c - 3*c.
-2*(c - 4)*(c + 2)
Let l be (-6 + 6 - 0)*-1. Suppose l = y - 3*q, -7*y - 5*q = -3*y. Determine c so that y - 16/7*c**2 - 8/7*c - 2/7*c**4 - 10/7*c**3 = 0.
-2, -1, 0
Suppose 0 = -2*v - 75 + 265. Find k, given that 0 - 3*k**5 + v*k**2 + 0 + 85*k**4 + 6*k**5 + 2*k**5 - 185*k**3 = 0.
-19, 0, 1
Let -2/3*x**3 + 10 + 53/3*x - 5*x**2 = 0. What is x?
-10, -1/2, 3
Let i(y) be the first derivative of y**6/3 + 10*y**5 + 163*y**4/2 + 18*y**3 - 648*y**2 + 864*y + 1239. Let i(d) = 0. Calculate d.
-12, -3, 1
Let h(g) be the third derivative of g**6/320 - 43*g**5/32 + 621*g**2. Factor h(d).
3*d**2*(d - 215)/8
Let p(y) be the third derivative of y**6/840 - y**5/30 - 17*y**4/56 - 4227*y**2. Let p(g) = 0. What is g?
-3, 0, 17
Let b(w) be the first derivative of -212*w**3/3 - 202*w**2 + 40*w + 6240. Factor b(r).
-4*(r + 2)*(53*r - 5)
Let u(z) = z**2 - 2*z. Let j(p) = 2*p**3 + 4*p + 2*p**3 - 5*p**3 + 0*p**3. Let r(x) = 3*j(x) + 7*u(x). Find g such that r(g) = 0.
0, 1/3, 2
Let q be 16/(1 + 1)*1. Factor 6*z**3 + z**5 + 130*z**4 + 10*z**2 - q*z + z**5 - 140*z**4.
2*z*(z - 4)*(z - 1)**2*(z + 1)
Let m(t) be the second derivative of -2*t**7/735 + t**6/210 + 11*t**2 - 63*t. Let r(y) be the first derivative of m(y). Factor r(v).
-4*v**3*(v - 1)/7
Suppose -77 = -773*u + 766*u. Let q(r) be the first derivative of -u + 0*r**2 - 1/10*r**4 + 0*r + 2/15*r**3. Find l, given that q(l) = 0.
0, 1
Let l(m) be the third derivative of -48/35*m**5 + 0*m + 32/7*m**4 + 1/784*m**8 + 6/245*m**7 - 81*m**2 + 0*m**3 + 1/70*m**6 + 0. Suppose l(n) = 0. What is n?
-8, 0, 2
Let k(p) be the second derivative of -p**6/10 + 75*p**5/4 + 96*p**4 - 1601*p. Factor k(t).
-3*t**2*(t - 128)*(t + 3)
Let t(n) = 8*n**3 + 40*n**2 + 20*n - 76. Let b(o) = 0 + 13*o**3 + 18*o - 5*o**3 - 1 - 7*o**3 - 20*o. Let c(r) = 4*b(r) - t(r). Find z such that c(z) = 0.
-9, -2, 1
Suppose 2*w + 52 = -11*w. Let f(o) = 2*o**3 - 8*o**2 - 10*o - 8. Let z(r) = -3*r**3 + 16*r**2 + 19*r + 14. Let y(u) = w*z(u) - 7*f(u). What is c in y(c) = 0?
-3, -1, 0
Solve -8*x**2 - 28/3 - 2/3*x**3 + 18*x = 0.
-14, 1
Let o(k) be the second derivative of -5*k**4/3 - 3682*k**3/3 - 736*k**2 + 4009*k. Factor o(b).
-4*(b + 368)*(5*b + 1)
Let y be 0 + -2*(-1 - 0). Suppose -4*d - 12 = -2*s, 0 = -y*s - 5*d + 2 + 1. Factor -5*f**s + 5*f**2 + 3*f**2 + 2*f**4 - 5*f**2.
-3*f**2*(f - 1)*(f + 1)
Let r(x) be the first derivative of 4*x**3/3 - 36*x**2 + 320*x + 1506. Suppose r(a) = 0. Calculate a.
8, 10
Let h(z) be the second derivative of -z**5/90 + 2*z**4/9 + 20*z**3/9 - 54*z**2 + 6*z + 22. Let o(i) be the first derivative of h(i). Solve o(y) = 0 for y.
-2, 10
Let f(d) be the second derivative of 108*d**6/35 - 2358*d**5/35 + 16081*d**4/42 + 2620*d**3/7 + 900*d**2/7 + 130*d + 9. Solve f(m) = 0.
-2/9, 15/2
Let m = -4794 - -100675/21. Let d(p) be the second derivative of 0*p**3 + 2/15*p**6 + 0*p**2 - m*p**7 - 1/10*p**5 + 0*p**4 + 0 - 23*p. Solve d(f) = 0 for f.
0, 1
Find f, given that 830/9*f - 208/9 + 8/9*f**2 = 0.
-104, 1/4
Let i(m) be the second derivative of -m**6/15 + m**5/5 + 289*m**4/6 - 2*m**3/3 - 288*m**2 + 109*m - 15. Suppose i(h) = 0. Calculate h.
-16, -1, 1, 18
Let g be (-3 + 33 + -25)*-1 + 158/6. Let g*v - 4/3 - 256/3*v**2 = 0. What is v?
1/8
Let l = 4/7157 + 7636511/14314. Let v = 535 - l. Find s, given that v + s - 1/2*s**2 = 0.
-1, 3
Let d be 41/((-44075)/86)*70/(-8). Let t(m) be the first derivative of -d*m**5 - 15/4*m**2 + 9/2*m - 33/8*m**4 - 26 - 191/24*m**3. Suppose t(h) = 0. What is h?
-2, -3/2, 2/7
Factor -11576 + 23074 + 5*g**3 - 11183 + 5*g**2 - 165*g.
5*(g - 3)**2*(g + 7)
Let z = -599 - -560. Let w be (-84)/(-48)*-1*24/z. Let w*g**2 + 16/13*g + 2/13*g**3 - 32/13 = 0. What is g?
-4, 1
Suppose -2*h + x = 2 - 11, 2*h = -5*x - 21. Let o = 116185/2 + -348553/6. Let -1/3 + o*m**3 + 1/3*m**h - 1/3*m = 0. What is m?
-1, 1
Let d(f) = 1172 - 4*f + 3*f - 4*f**3 - 1169 - 3*f**2. Let w(i) = 5*i**3 + 4*i**2 + i - 4. Let z(x) = 6*d(x) + 5*w(x). Solve z(p) = 0 for p.
-2, -1, 1
Let d be 9 + 786/42 - (-4)/14. Suppose 3*a + d - 42 = -2*n, 2 = a. Let -5*i**3 - 1/2*i**2 - 1/2 + 2*i + 4*i**5 + 2*i**n = 0. What is i?
-1, 1/2
Factor -5628*j + 13197660 + 3/5*j**2.
3*(j - 4690)**2/5
Factor -71/3*f**3 + 1/3*f**4 - 295/3*f**2 - 50 - 373/3*f.
(f - 75)*(f + 1)**2*(f 