*2 = 0. What is q?
-1, 1, 8
Let x(h) be the first derivative of h**7/84 + h**6/6 + 13*h**5/40 - 5*h**4/2 + 3*h**3 + 51*h - 101. Let o(d) be the first derivative of x(d). Factor o(y).
y*(y - 1)**2*(y + 6)**2/2
Let x(a) be the third derivative of 5*a**8/1008 - 47*a**7/105 + 689*a**6/45 - 228*a**5 + 1026*a**4 - 1296*a**3 + 2*a**2 + 2133*a. Find l, given that x(l) = 0.
2/5, 2, 18
Let n(b) be the first derivative of -b**5/90 + 19*b**4/18 - 361*b**3/9 + 68*b**2 - 105. Let d(x) be the second derivative of n(x). Factor d(c).
-2*(c - 19)**2/3
Factor 5*z**4 - 233*z**3 + 1710 + 1405*z**2 - 73*z**3 - 290*z**3 + 628*z + 371*z**3 - 3523*z.
5*(z - 38)*(z - 3)**2*(z - 1)
Let v(q) be the first derivative of 0*q + 15 + 0*q**4 - 9/2*q**2 + 1/600*q**5 + 0*q**3. Let y(z) be the second derivative of v(z). Factor y(w).
w**2/10
Let a(g) be the first derivative of -3*g**5/5 + 27*g**4 + 37*g**3 + 4306. Find c such that a(c) = 0.
-1, 0, 37
Let a(j) = -286*j**3 + 2060*j**2 + 51983*j - 54080. Let k(g) = 67*g**3 - 515*g**2 - 12996*g + 13520. Let h(y) = -4*a(y) - 17*k(y). Let h(l) = 0. What is l?
-52, 1
Let j(u) be the third derivative of u**6/1440 - u**5/96 - u**4/4 + 20*u**3/3 + 114*u**2. Let f(n) be the first derivative of j(n). Factor f(q).
(q - 8)*(q + 3)/4
What is g in 2208*g**2 - 11/2*g**4 - 424 + 562*g**3 + 1912*g = 0?
-2, 2/11, 106
Let k(l) be the third derivative of -8/75*l**5 - 6*l**3 - 8 - 5*l**2 - 1/300*l**6 - 23/20*l**4 + 0*l. Factor k(h).
-2*(h + 3)**2*(h + 10)/5
Let a(m) be the second derivative of 3/4*m**3 - 128*m + 1/24*m**4 - 9/4*m**2 + 0 - 1/40*m**5. Suppose a(g) = 0. What is g?
-3, 1, 3
Let x(g) = g**4 - g**2. Let q(i) = -i**2 - 21*i + 66. Let f be q(3). Let o(l) = -l**5 - 8*l**3 + 9*l. Let u(z) = f*x(z) - o(z). Factor u(w).
w*(w - 3)**2*(w - 1)*(w + 1)
Let p = 1207138 + -1207134. Factor 9/2*z - p - 1/2*z**2.
-(z - 8)*(z - 1)/2
Let c(z) be the first derivative of -36*z + 21/4*z**4 - 60*z**2 + 67 + 9*z**3. Solve c(u) = 0.
-3, -2/7, 2
Let j = 581/8 - 1651/24. Let y(p) be the second derivative of 0 + 4*p**2 - 7/10*p**5 + j*p**4 - 20/3*p**3 + 3*p. Find n such that y(n) = 0.
2/7, 1, 2
Suppose d - q = -3*d + 1304, 0 = 3*d - 3*q - 987. Solve -64*t**3 + 280*t + 20 + d*t**2 + 189*t**3 + 60 = 0 for t.
-1, -4/5
Let i(y) be the second derivative of -y**6/10 - 21*y**5/10 - 41*y**4/4 - 2*y**3 + 90*y**2 + 3307*y. Determine h so that i(h) = 0.
-10, -3, -2, 1
Let s be 0*2*(-10)/60. Let y(g) be the first derivative of 5/12*g**3 + 5/4*g**2 - 17 + s*g. Let y(k) = 0. Calculate k.
-2, 0
Let n(x) = -2*x**3 - x - 13. Let r(s) = s**3 + 11*s + 20. Let u(m) = -2*n(m) - r(m). Let u(w) = 0. What is w?
-2, 1
Let 1519279*a**3 - 1519280*a**3 + 560*a + 103*a**2 + 564 + 34*a**2 = 0. Calculate a.
-2, 141
Let p = -104541 - -731891/7. Suppose -1/7*w**4 + p*w - 64/7 - 60/7*w**2 + 2*w**3 = 0. Calculate w.
2, 8
Let j be (-20)/90 - (-9772)/18. Let r = 543 - j. Factor -5/6*b - 2/3*b**2 - r - 1/6*b**3.
-(b + 1)**2*(b + 2)/6
Let d(u) be the second derivative of -179*u - 1/4*u**4 - 726*u**2 + 22*u**3 + 0. Factor d(b).
-3*(b - 22)**2
Let w be (-77)/(-10) + 2/(-10). Let k(n) = -n**2 - 114*n + 9978. Let m be k(-172). Let -w - 5/4*s**m + 25/4*s = 0. Calculate s.
2, 3
Let r(l) be the second derivative of -1/120*l**6 + 1/8*l**2 + 5*l + 0*l**4 + 0 - 1/12*l**3 + 1/40*l**5. Factor r(t).
-(t - 1)**3*(t + 1)/4
Let q(z) = 21*z**2 + 6*z - 10. Let u be q(-1). Let p(b) be the third derivative of -3/80*b**u - b**2 - 1/160*b**6 + 3/8*b**3 - 3 + 1/32*b**4 + 0*b. Factor p(g).
-3*(g - 1)*(g + 1)*(g + 3)/4
Let i(a) = a**3 - 13*a**2 - 2*a + 26. Let d = 228 + -215. Let s be i(d). Factor 2/3*k**3 + s + 1/6*k**5 + 2/3*k**4 + 0*k + 0*k**2.
k**3*(k + 2)**2/6
Let v(l) be the third derivative of l**8/1008 - 31*l**7/630 + 43*l**6/45 - 386*l**5/45 + 70*l**4/3 + 200*l**3 - 124*l**2 - 1. Solve v(j) = 0 for j.
-1, 6, 10
Suppose 6 - 51 = -3*u - b, 3*u - 45 = b. Suppose -20 - 10 = -u*n. Factor 2*t**n - 6*t + 10/3 + 2/3*t**3.
2*(t - 1)**2*(t + 5)/3
Let m(a) be the first derivative of a**4/4 - 16*a**3/3 + 6273. Factor m(g).
g**2*(g - 16)
Let j = -77 - -119. Suppose j*i - 50*i = -64. Factor -20*v + 6*v**2 - 4 - i*v - 55*v**2.
-(7*v + 2)**2
Factor -38*i**2 - 786/5*i - 594/5 + 2/5*i**3.
2*(i - 99)*(i + 1)*(i + 3)/5
Let h(o) be the first derivative of o**5/16 - 5*o**4/96 - o**2 - 7*o + 21. Let u(w) be the second derivative of h(w). Find b such that u(b) = 0.
0, 1/3
Solve -112/13*r - 154/13*r**2 - 8/13 - 50/13*r**3 = 0.
-2, -1, -2/25
Suppose -30 = 44*s - 54*s. Let k(a) be the first derivative of -10/33*a**s - 2/55*a**5 - 2/11*a**4 - 2/11*a**2 - 10 + 0*a. Factor k(u).
-2*u*(u + 1)**2*(u + 2)/11
Suppose 0 = -2*i + 7*i - 2390. Suppose -184*s**2 - 23*s**3 + 25*s**4 - 5*s**3 + i*s**2 + 2401 - 1372*s - 24*s**4 = 0. Calculate s.
7
Suppose 101*u - 106*u - 5*r + 85 = 0, -2*u - 3*r = -46. Factor -6/11 + 2/11*a**u - 28/11*a**2 - 2*a + 2/11*a**4 - 12/11*a**3.
2*(a - 3)*(a + 1)**4/11
Let v = -4040/19 - -8099/38. Let 1/4*a**2 + v*a - 2 = 0. Calculate a.
-4, 2
Let s(y) be the first derivative of 8*y**6/21 - 8*y**5/7 - 31*y**4/28 + 151*y**3/21 - 66*y**2/7 + 36*y/7 + 423. Let s(w) = 0. Calculate w.
-2, 3/4, 1, 2
Factor a**3 - 245/9*a + 0 - 1/9*a**4 + 7/3*a**2.
-a*(a - 7)**2*(a + 5)/9
Let -41/2*q**2 - 225/2 + 1/4*q**3 + 531/4*q = 0. What is q?
1, 6, 75
Suppose 26*u - 96 - 294 = 0. Let m be u*(-60)/(-162) + (-28)/(-63). Let 0 + m*d**4 + 32*d**2 + 24*d**3 + 1/2*d**5 + 0*d = 0. Calculate d.
-4, 0
Let -2/3*w**3 + 318*w - 232/3*w**2 - 240 = 0. What is w?
-120, 1, 3
Suppose -67*j + 984 + 2232 = 0. Let q(s) be the first derivative of 48*s**2 + 21*s**3 + 3/10*s**5 - 11 + j*s + 33/8*s**4. Factor q(n).
3*(n + 1)*(n + 2)*(n + 4)**2/2
Let j = 5087 - 30517/6. Let g(n) be the first derivative of 0*n + 5/12*n**4 - j*n**2 - 1/3*n**5 + 23 + 5/9*n**3. Factor g(f).
-5*f*(f - 1)**2*(f + 1)/3
Let c(y) be the second derivative of 2*y**7/105 + 13*y**6/50 - 83*y**5/50 + 11*y**4/12 + 34*y**3/5 - 26*y**2/5 + 1897*y. Find w, given that c(w) = 0.
-13, -1, 1/4, 2
Factor -324*t - 56*t**2 - 328 + 191*t**2 - 61*t**2 - 70*t**2.
4*(t - 82)*(t + 1)
Let m(h) be the second derivative of -10*h**2 - 21*h + 0 - 132/5*h**5 - 425/12*h**4 + 121/30*h**6 + 34*h**3. Factor m(g).
(g - 5)*(g + 1)*(11*g - 2)**2
Let q be -15*186/(-504) - (2 + (-5 - 17/(-4))). Determine j, given that 0*j + 4/7*j**5 + q*j**4 - 2*j**2 + 0 + 12/7*j**3 = 0.
-7, -1, 0, 1/2
Suppose -2147*m = 3133*m. Factor 3/8*t + 7/8*t**2 + 1/8*t**4 + m + 5/8*t**3.
t*(t + 1)**2*(t + 3)/8
Suppose 0 = -12*k - 74 + 398. Suppose 13*s**2 - 9*s**2 + k*s**4 - 4*s**2 + s**5 + 2*s**5 = 0. Calculate s.
-9, 0
Suppose 0 = c + 46*c - 235. Let l(r) be the third derivative of -5/3*r**4 - 5/12*r**c - 1/24*r**6 + 0*r + 20*r**2 + 0 - 10/3*r**3. Factor l(n).
-5*(n + 1)*(n + 2)**2
Let i(m) be the second derivative of m**7/840 + m**6/45 + 7*m**5/120 - m**3/6 + m**2/2 + 9*m + 3. Let x(o) be the second derivative of i(o). Solve x(v) = 0.
-7, -1, 0
Let c(t) be the third derivative of 3/20*t**5 - 229*t**2 + 0 + 0*t - 17/48*t**4 - 1/240*t**6 + 0*t**3. Factor c(y).
-y*(y - 17)*(y - 1)/2
Let z(m) be the second derivative of 205*m + 1/3*m**4 + 16/5*m**2 - 46/15*m**3 - 26/75*m**6 + 0 - 4/105*m**7 + m**5. Determine g, given that z(g) = 0.
-8, -1, 1/2, 1
Let c(k) be the third derivative of -7/6*k**5 + 1/3*k**7 + 0 - 119*k**2 + 0*k**3 + 0*k - 2/3*k**6 + 25/112*k**8 + 5/24*k**4. Solve c(t) = 0 for t.
-1, 0, 1/15, 1
Factor -24/5*n**2 - 12/5*n**3 + 2/5*n**4 + 76/5*n - 42/5.
2*(n - 7)*(n - 1)**2*(n + 3)/5
Let x(s) = 40*s - 40. Let m(p) = -p + 1. Let w(k) = -90*m(k) - 2*x(k). Let l be w(3). Suppose l*r**2 - 32*r - 24 + 8*r**2 - 44*r = 0. Calculate r.
-2/7, 3
Let k(x) be the second derivative of 1525/6*x**4 + 0 - 20*x**2 + 231/4*x**5 + 730/3*x**3 - 59*x. Find s such that k(s) = 0.
-2, -2/3, 2/77
Suppose 80/9*v**4 + 256/9*v + 22/9*v**5 - 98/9*v**3 - 196/9*v**2 - 64/9 = 0. Calculate v.
-4, -2, 4/11, 1
Let m be -8*(5/20 + 33/(-12)). Suppose -2*n - 3*u + m = 0, 16 = n + 2*u + 4. Find f, given that -164 - 230*f**2 + 39 + f**n - 6*f**4 - 60*f**3 - 300*f = 0.
-5, -1
Let g(i) be the first derivative of 4418*i**3/21 + 564*i**2/7 + 72*i/7 + 7779. Determine n so that g(n) = 0.
-6/47
Let -s**3 + 347 + 339*s**2 - 347 + 4*s**3 + 180*s**2 = 0. Calculate s.
-173, 0
Suppose 14 = 2*p + 2. Suppose