*2 + 16*s + 13. Let z be l(17). Let k be ((-130)/z)/13 - 2/4. Factor k*c**2 - 2786*c + 2786*c - 2.
2*(c - 1)*(c + 1)
Let h(s) be the second derivative of s**7/56 + 41*s**6/120 + 121*s**5/80 + 37*s**4/16 + s**3/3 - 5*s**2/2 - 2971*s. Suppose h(b) = 0. Calculate b.
-10, -2, -1, 1/3
Solve 478 - 1086 + 184*k**3 + 412 + 4*k**4 + 462*k - 576*k**2 + 122*k = 0.
-49, 1
Let z(y) be the first derivative of -2*y**3/69 + 2*y**2/23 + 198*y/23 - 1117. Factor z(r).
-2*(r - 11)*(r + 9)/23
Let l = 4086 + -4083. Let h(a) be the third derivative of l*a**2 + 0*a + 0 - 10/3*a**3 + 0*a**4 + 1/12*a**5. Solve h(k) = 0 for k.
-2, 2
Let h(g) be the first derivative of -4/17*g**3 + 11/17*g**2 + 1/34*g**4 - 12/17*g + 92. Factor h(p).
2*(p - 3)*(p - 2)*(p - 1)/17
Let v(m) = 2*m**2 + 4*m - 4. Let d(x) = x**2 - 1. Let n(h) = -3*d(h) + v(h). Let j be n(2). Factor 0*w**2 + 8 - 8*w + 5*w**2 + 2*w**3 - 4*w**2 - j*w**2.
2*(w - 2)*(w - 1)*(w + 2)
Let t be (168/63)/((-1)/(-9)). Suppose -14*c = -6*c - t. Factor -4/5*m + 16/5 + 4/5*m**c - 16/5*m**2.
4*(m - 4)*(m - 1)*(m + 1)/5
Let c(p) be the first derivative of 4*p**3/3 + 30*p**2 - 136*p - 805. Determine k so that c(k) = 0.
-17, 2
Suppose -483*z + 480*z + 2*n = -5, -2*z = 4*n - 14. Let i be (-8)/10 - (-1)/1. Suppose -i*v**z + 1/5*v**2 - 1/5 + 1/5*v = 0. What is v?
-1, 1
Let h(t) be the third derivative of -t**6/480 - 71*t**5/240 + 145*t**4/96 - 73*t**3/24 - 51*t**2 - 23*t. Solve h(x) = 0 for x.
-73, 1
Let k be (-237)/3555*(4/14 + 75/(-42)). Factor 0*l + 0 + 1/10*l**4 - 1/5*l**2 + k*l**3.
l**2*(l - 1)*(l + 2)/10
Let f(m) be the third derivative of -m**7/4620 - m**6/990 - m**5/660 - 23*m**3/3 + m**2 + 20*m. Let n(v) be the first derivative of f(v). Factor n(b).
-2*b*(b + 1)**2/11
Suppose -110*l + 306 = -8*l. Let a(g) be the first derivative of 4 - 2*g**l - 2/5*g**5 + 8*g + 4*g**2 - 2*g**4. Suppose a(j) = 0. What is j?
-2, -1, 1
Let f(n) = -n**3 - 22*n**2 + 2. Let r be f(-22). Suppose -2 = -r*t + 2. Let 5*b**4 - 4*b**4 + 4*b**t - 5*b**3 + 4*b**2 - 4*b = 0. Calculate b.
0, 1, 2
Let r(d) be the third derivative of -28*d - d**2 - 1/4*d**5 - 11/8*d**4 + 0 - 3*d**3. Suppose r(x) = 0. Calculate x.
-6/5, -1
Let q(u) be the first derivative of -2*u**3/27 + 4856*u**2/9 - 11790368*u/9 + 5410. Factor q(h).
-2*(h - 2428)**2/9
Let q(w) be the third derivative of -w**6/210 + 13*w**5/105 - 5*w**4/6 - 14*w**3/3 + 435*w**2. Solve q(n) = 0 for n.
-1, 7
Let m(f) be the second derivative of -f**6/810 - 2*f**5/45 - 2*f**4/3 + 4*f**3/3 - 2*f**2 - 6*f + 2. Let v(t) be the second derivative of m(t). Factor v(x).
-4*(x + 6)**2/9
Let c = 210741/5 - 1685873/40. Factor 1/8*p**2 - c*p + 7/2.
(p - 7)*(p - 4)/8
Let a(u) = -3*u**3 - 2*u**2 + u + 2. Let q = -308 + 307. Let t(l) = l**3. Let f(g) = q*a(g) - 2*t(g). Solve f(x) = 0.
-2, -1, 1
Let j(q) be the first derivative of -243*q**5/5 + 513*q**4 - 1588*q**3 + 912*q**2 - 192*q - 5376. Factor j(t).
-3*(t - 4)**2*(9*t - 2)**2
Let s be ((-4)/12)/((3 - -3) + -9). Let z(k) be the second derivative of 0*k**2 + 7/36*k**4 + 0 - 4*k - s*k**3. Factor z(t).
t*(7*t - 2)/3
Let r(x) be the second derivative of x**7/42 - 11*x**5/10 + x**4 + 39*x**3/2 - 54*x**2 + 161*x - 1. Suppose r(f) = 0. What is f?
-4, -3, 1, 3
Let f = -7525 - -7527. Find z, given that 6*z - 15*z**f + 15/4*z**4 - 3/2*z**3 + 0 = 0.
-2, 0, 2/5, 2
Let c = 604199441061/5956 - 101443829. Let j = 1/1489 - c. Factor -j*d**5 + 15*d**3 - 96*d + 6*d**2 + 96 - 3/2*d**4.
-3*(d - 2)**3*(d + 4)**2/4
Suppose -3*y + 72 = 3*o, 2*o = -5*y + 8*y + 48. Factor 18*m**4 + o*m**3 + 4*m**2 - 16*m**4 - 30*m**3.
2*m**2*(m - 2)*(m - 1)
Let v = 104 + -108. Let l(z) = z**3 + 31*z**2 + 59*z + 29. Let f(w) = 32*w**2 + 60*w + 28. Let s(u) = v*l(u) + 3*f(u). Factor s(x).
-4*(x + 1)*(x + 2)*(x + 4)
Suppose -4*z = 3*t + 22 - 13, 5*z + 2*t + 13 = 0. Let h(b) = b**2 + 4*b + 3. Let r be h(z). Factor 0*n + r - 2/9*n**3 - 2/9*n**2.
-2*n**2*(n + 1)/9
Let a(f) = f**3 - 9*f**2 + 13*f + 15. Let u be a(7). Let h be (0/(-1))/(u/(0 + 8)). Factor 2/7*p**2 + 10/7*p + h.
2*p*(p + 5)/7
Determine a, given that 285 + 180*a - 228*a**2 + 648*a + 547 + 224*a**2 = 0.
-1, 208
Determine j so that 56 + 1512*j + 3258*j**2 + 2304*j**3 - 869*j**5 + 939*j**5 + 160 + 678*j**4 + 26*j**3 = 0.
-3, -2/5, -2/7
Let u(g) = g**3 - 2*g**2 - 2*g - 2. Let l(z) = z**4 - 4*z**3 + 123*z**2 + 1153*z - 2944. Let o(j) = -2*l(j) + 54*u(j). Factor o(h).
-2*(h - 17)**2*(h - 2)*(h + 5)
Solve -27/2*q**3 + 0*q**2 - 237/4*q**4 + 0 + 0*q + 27/4*q**5 = 0.
-2/9, 0, 9
Suppose -4962312/7*g + 58302/7*g**3 + 3/7*g**5 + 0 - 729/7*g**4 - 1472556/7*g**2 = 0. What is g?
-3, 0, 82
Let m(n) be the second derivative of 0 + 121/6*n**2 - 67*n + 1/36*n**4 + 11/9*n**3. Factor m(u).
(u + 11)**2/3
Let x(o) = -37*o**3 + 2477*o**2 - 2474*o - 4943. Let a(y) = 245*y**3 - 17335*y**2 + 17320*y + 34600. Let b(m) = 3*a(m) + 20*x(m). Factor b(z).
-5*(z - 2)*(z + 1)*(z + 494)
Let w be (-26)/(-377) - ((-78113)/11165 - -7)*-30. Factor 0 - 12/11*m - w*m**2.
-2*m*(m + 6)/11
Let b(l) be the second derivative of -4/9*l**3 - 5/36*l**4 - 27*l + 2 - 1/60*l**5 - 2/3*l**2. Factor b(m).
-(m + 1)*(m + 2)**2/3
Suppose 4*i + 4 = -5*a, -140*a + 2*i + 24 = -137*a. Let z(h) be the second derivative of 0 + 18*h**2 + 1/12*h**a - 2*h**3 + 18*h. Determine v so that z(v) = 0.
6
Let l(s) = -11*s**2 + 271*s - 158. Let q be l(24). Let w(g) be the second derivative of -q*g**2 + 0 - 4/3*g**3 + 17*g - 1/15*g**4. Find t such that w(t) = 0.
-5
Suppose 2*f + 25 = 5*k, 4 = 3*k + 15*f - 14*f. Let -7*z**3 - 2*z**3 + 23*z**k + 16*z**2 - 10*z - 28 - 8*z**3 - 8*z**3 = 0. What is z?
-1, 2, 7
Let i(b) be the first derivative of -b**9/9072 + b**8/5040 + b**7/420 + 157*b**3/3 + 65. Let n(k) be the third derivative of i(k). Factor n(c).
-c**3*(c - 3)*(c + 2)/3
Factor -32/3*i + 1/6*i**2 + 61/2.
(i - 61)*(i - 3)/6
Let u = -2589709/11 + 235429. Factor u*k + 2/11*k**2 - 28/11.
2*(k - 2)*(k + 7)/11
Let r(a) = 3*a**4 - a**3 + a**2 - 2*a. Let q(c) = -11*c**4 + c**3 - 32*c**2 + 140*c - 144. Let w(o) = q(o) + 4*r(o). Determine v, given that w(v) = 0.
-6, 2, 3, 4
Suppose 6*d = 68 + 28. Suppose -7*g - 2 = -d. Find w, given that -8/9 - 2/3*w**g - 8/3*w + 10/9*w**3 = 0.
-1, -2/5, 2
Let 22/7*t**4 - 40/7*t**2 - 2/7*t**5 - 60/7*t**3 + 272/7*t - 192/7 = 0. What is t?
-2, 1, 2, 4, 6
Suppose 13*j - 2 = 2*q + 17*j, 3*q - 7 = -j. Let r(v) be the first derivative of -2/21*v**q + 1/14*v**2 + 0*v + 12. Factor r(a).
-a*(2*a - 1)/7
Let s = -452050 + 904103/2. Factor -s*c**3 - 66 - 45/2*c**2 - 72*c.
-3*(c + 2)**2*(c + 11)/2
Suppose 9*d - 62 = 37. Suppose 6 = -d*y + 13*y. Let 2/9*s + 0*s**y - 2/9*s**5 - 4/9*s**2 + 4/9*s**4 + 0 = 0. Calculate s.
-1, 0, 1
Let z be (30/(-14))/(29/(-406)). Let i be ((-10)/z)/((-28)/24). Factor i + 128/7*c**2 - 32/7*c.
2*(8*c - 1)**2/7
Let d = -47023 + 329163/7. Factor 32/7*f**2 - 324/7 + d*f**3 + 90/7*f.
2*(f - 2)*(f + 9)**2/7
Let t(y) be the third derivative of 2*y**7/105 - y**6/10 - 11*y**5/5 - 53*y**4/6 - 16*y**3 + 2*y**2 + 1146. Factor t(h).
4*(h - 8)*(h + 1)**2*(h + 3)
Let k = 220506 + -661516/3. Find m such that -k*m**3 - 722/3*m + 0 - 76/3*m**2 = 0.
-19, 0
Let b(s) = -s**3 + 6*s**2 + 10*s - 35. Let f be b(6). Let q(r) = -r**2 - r - 1. Let t(g) = 5*g**3 - 20*g**2 - 30*g - 30. Let z(i) = f*q(i) - t(i). Factor z(a).
-5*(a - 1)*(a + 1)**2
Suppose 0 = -3*g + 4*m + 31, -28*g + 30*g + 4*m = -6. Find s such that -6*s**3 - 7 + s**4 + 1648*s + 9*s**2 - g - 1644*s = 0.
-1, 2, 3
Factor 24 + 6*q + 3/8*q**2.
3*(q + 8)**2/8
Solve -2*b**3 - 2695*b**2 + 2927*b**2 + 6954*b + 4*b**3 + 12996 = 0 for b.
-57, -2
Let u = -28 - -24. Let a be -12*(10/(-8) + u/(-8)). Factor 8*y**4 - 3*y**5 + a*y**3 - 10*y**4 + 8*y**4.
-3*y**3*(y - 3)*(y + 1)
Let i be (21/9)/(-7)*129. Let h = 47 + i. Find w such that -6 - 10*w**2 + 4*w**3 + 2*w**2 - h*w + 14 = 0.
-1, 1, 2
Solve -425104/9*z + 0 - 2608/9*z**2 - 4/9*z**3 = 0 for z.
-326, 0
Let d be 22 - (-176)/(-32) - (12 + 4). Let -7/2*c**2 + 4 - d*c = 0. Calculate c.
-8/7, 1
Let r(q) be the first derivative of 5*q**2 - 1/600*q**6 - 1/60*q**5 + 0*q + 8 - 2/15*q**3 - 1/15*q**4. Let i(v) be the second derivative of r(v). Factor i(d).
-(d + 1)*(d + 2)**2/5
Suppose 44 + 82 = 21*o. Let y(c) be the second derivative of 40/3*c**3 - 9*c + 0 + 6*c**4 + 7/5*c**5 + 2/15*c**o + 16*c**2. Suppose y(f) = 0. What is f?
