hat is a?
-1, 0, 1
Suppose -6*a + 16 = -2. Let f(h) = -2*h**2 + 7*h + 1. Let b be f(a). Factor -2*i**4 - 20*i**3 + 24*i + 3*i**4 + 3*i**b - 16 - 4*i + 12*i**2.
4*(i - 4)*(i - 1)**2*(i + 1)
Let b(i) be the first derivative of 4*i**5/35 + 10*i**4/7 - 116*i**3/21 - 108*i**2/7 + 288*i/7 - 1121. What is s in b(s) = 0?
-12, -2, 1, 3
Let s = 61 + -59. Suppose -2*o**4 + 4*o**2 + 5*o**2 + s*o - 4*o**2 - 2*o**3 - 3*o**2 = 0. What is o?
-1, 0, 1
Let r(u) be the third derivative of u**7/210 + 37*u**6/90 + 6*u**5/5 - 7*u**3/2 - 167*u**2. Let v(i) be the first derivative of r(i). Factor v(n).
4*n*(n + 1)*(n + 36)
Let k(t) be the third derivative of -t**8/2856 + 2*t**7/357 + 3*t**6/85 + 19*t**5/255 + 13*t**4/204 + 1758*t**2 - 2*t. Factor k(r).
-2*r*(r - 13)*(r + 1)**3/17
Let i = -275534 + 275536. Factor -4/7 + 80/7*d - 400/7*d**i.
-4*(10*d - 1)**2/7
Let z(j) = -13*j**2 + 6533*j - 3511. Let m be z(502). Factor -o**2 - 2/5*o + 8/5 - 1/5*o**m.
-(o - 1)*(o + 2)*(o + 4)/5
Let k = -20 - -20. Let h(b) be the first derivative of k*b**2 - 5/3*b**3 + 1 - 5/4*b**4 + 0*b. Let h(a) = 0. What is a?
-1, 0
Suppose -2202*q + 56 = -2188*q. Let h(o) be the second derivative of -4/15*o**3 + 0 + 2/5*o**2 - 16*o + 1/15*o**q. Factor h(x).
4*(x - 1)**2/5
Suppose -3*y + 24 = -6*k, -2*y + 1414*k - 1417*k - 5 = 0. Find v such that -51/7*v + 150/7*v**y + 9/7*v**3 + 0 = 0.
-17, 0, 1/3
Let o(v) be the second derivative of -v**5 - 241*v**4/6 - 488*v**3 - 144*v**2 + 2423*v. Solve o(g) = 0.
-12, -1/10
Let c(u) = -u**2 - 6*u + 3. Let b be c(-3). Determine f, given that b*f - 16*f**2 + 4*f**4 + 7*f**4 + 12*f**3 - 24*f + 5*f**4 = 0.
-1, -3/4, 0, 1
Let n(h) = -6*h**2 + 277*h - 1271. Let r be n(41). Factor -1/2*y**2 + 1/2*y**4 + y**3 + r - y.
y*(y - 1)*(y + 1)*(y + 2)/2
Let d(o) be the first derivative of -o**4 + 1400*o**3/3 + 1406*o**2 + 1408*o + 3538. Factor d(j).
-4*(j - 352)*(j + 1)**2
Let g(a) be the first derivative of -1/10*a**3 - 1/60*a**6 + 11/40*a**4 - 1/2*a**2 + 182 + 3/50*a**5 + 0*a. Let g(u) = 0. Calculate u.
-2, -1, 0, 1, 5
Let c be (-22)/(-16 + -6)*7/16. Let a(z) be the third derivative of 0 + 1/140*z**7 + 0*z + 9/40*z**5 + c*z**4 + 14*z**2 + 1/16*z**6 + 1/2*z**3. Factor a(h).
3*(h + 1)**3*(h + 2)/2
Solve -12 + 63*w**2 - 25*w - 105*w**4 + 4*w**3 + 88*w**4 - 25*w**3 + 6 + 6*w**5 = 0.
-2, -1/6, 1, 3
Suppose 0*k + 4*k = p + 67, 215 = -5*p - 4*k. Let u = p - -48. Factor -7*l**2 + u - l**2 - l**2 + 8*l**2.
-(l - 1)*(l + 1)
Let y(z) be the first derivative of -3*z**4/4 - 3*z**3 + 12*z - 140. Let y(j) = 0. Calculate j.
-2, 1
Let i(w) be the first derivative of 5/3*w**3 - 3 + 10*w**2 + 20*w. Find l such that i(l) = 0.
-2
Suppose -7*m + 5*m = -2*f - 14, 3*m = -3*f + 3. Factor m*g**3 - 250 - 7*g**3 - 429*g - 113 - 69*g**2.
-3*(g + 1)*(g + 11)**2
Let q(r) be the third derivative of 0*r + 0*r**3 + 1/168*r**8 - 169/3*r**5 - 2197/12*r**4 - 2 + 219*r**2 - 38/105*r**7 + 39/5*r**6. Let q(p) = 0. Calculate p.
-1, 0, 13
Factor -1/9*d**5 - 94/9*d**3 + 22/9*d**4 + 160/9*d**2 + 34/9 - 121/9*d.
-(d - 17)*(d - 2)*(d - 1)**3/9
Let u(t) be the second derivative of -t**6/40 + 49*t**2 - 2*t - 4. Let k(g) be the first derivative of u(g). Factor k(c).
-3*c**3
Determine s so that 123*s**3 - 1994 - 151*s**2 + 4845*s + 700*s**2 + 708*s**2 + 8294 + 3*s**4 = 0.
-28, -5, -3
Let c(q) = -4529*q + 81524. Let d be c(18). Factor 1/6*a**4 - 1/3*a**d + 0*a**3 + 0*a + 1/6.
(a - 1)**2*(a + 1)**2/6
Let z(d) be the first derivative of 27/8*d**4 - 3/10*d**5 + 9*d**2 + 0*d - 10*d**3 + 118. Find v, given that z(v) = 0.
0, 1, 2, 6
Let j be -3*(-2 - (-8)/6). Let v = 7 - 5. Solve y**4 + v + y**3 - 7*y + 9*y**j + 0 - 6*y**3 = 0 for y.
1, 2
Suppose 2*h - 43 = -9. Suppose 16*p = h*p - 3. Factor 6*b**2 - 15*b**3 - 10*b**3 + 23*b**p.
-2*b**2*(b - 3)
Let u(n) be the second derivative of -15 + 0*n**2 - n + 25/27*n**4 - 4/27*n**3. Find s such that u(s) = 0.
0, 2/25
Solve 0*g + 1/5*g**2 - 36/5 = 0 for g.
-6, 6
Let t = -592 + 629. Let y(u) be the first derivative of -3/2*u**3 - 1/2*u**5 + u - 1/4*u**2 + t + 13/8*u**4. Factor y(w).
-(w - 1)**3*(5*w + 2)/2
Let k(m) be the first derivative of m**5/450 + m**4/90 - 17*m**2 - m + 101. Let d(r) be the second derivative of k(r). What is w in d(w) = 0?
-2, 0
Let z(x) be the second derivative of x**7/252 - 13*x**6/180 - 7*x**5/40 + 85*x**4/72 + 44*x**3/9 + 7*x**2 + 5525*x. Solve z(j) = 0 for j.
-2, -1, 3, 14
Let q(b) be the first derivative of 1/6*b**2 + 1/15*b**5 + 1/4*b**4 + 1/3*b**3 + 0*b - 157. Factor q(j).
j*(j + 1)**3/3
Factor 0*j**2 + 0 + 22/13*j**5 - 28/13*j**3 + 0*j - 6/13*j**4.
2*j**3*(j + 1)*(11*j - 14)/13
Let q = -824652 - -3298633/4. Factor 5/4*r**4 - q*r**3 - 5/4*r**2 + 0 + 25/4*r.
5*r*(r - 5)*(r - 1)*(r + 1)/4
Factor -1/3*f**2 - 15*f - 374/3.
-(f + 11)*(f + 34)/3
Let j(u) = 16*u**2 + 23*u - 60. Let z(h) be the third derivative of 13*h**5/20 + 19*h**4/8 - 25*h**3 + h**2 - 17. Let d(v) = 12*j(v) - 5*z(v). Solve d(c) = 0.
-5, 2
Determine z, given that 500*z**3 - 1885/2*z**2 - 75 - 40*z**4 - 1135/2*z = 0.
-1/4, 3, 10
Let v = 322 - -240. Let 566*t**2 + v*t**2 + 40*t - 1123*t**2 = 0. Calculate t.
-8, 0
Suppose 85*b - 78*b - 3367 = 0. Suppose -z**2 + 409 - z**2 - b + 24*z = 0. Calculate z.
6
Let n be ((-10)/15)/(100/(-75)). Let y(t) be the third derivative of 0*t - 1/60*t**5 + 0 - n*t**4 - 6*t**3 - 7*t**2. Factor y(p).
-(p + 6)**2
Let h(j) be the third derivative of j**5/100 - 1003*j**4/40 + 4786*j**2. Factor h(s).
3*s*(s - 1003)/5
Let q(j) = -j**4 - 47*j**3 - 8*j + 2. Let f(c) = 2*c**4 + 48*c**3 + 12*c - 3. Let s(t) = 4*f(t) + 6*q(t). Let s(z) = 0. What is z?
0, 45
Let r(h) = 36*h - 108. Let s be r(3). Suppose 13*d - 10*d + 6*d = s. Solve 0*f + 1/2*f**3 + d + 1/2*f**2 = 0 for f.
-1, 0
Let o(w) be the second derivative of -25*w + 11/9*w**3 + 1 - 1/18*w**4 + 0*w**2. Suppose o(h) = 0. What is h?
0, 11
Let s(h) be the third derivative of -5*h**2 + h - 1/1155*h**7 + 0*h**3 - 3/11*h**4 + 0 + 1/60*h**6 - 4/55*h**5. Factor s(k).
-2*k*(k - 6)**2*(k + 1)/11
Let r be (-3*(-44)/(-6) - (-180 + 165)) + (-23)/(-2). Determine w, given that -r*w**2 - 3*w**3 + 9/2*w**4 - 3/4*w**5 + 15/4*w + 0 = 0.
-1, 0, 1, 5
Suppose -u - 35 = -5*t + 2*u, 3*t - 2*u - 22 = 0. Factor -6 + 3*y**2 - 10*y**3 - 2*y**4 + t*y + 6*y**3 + 5*y**2.
-2*(y - 1)**2*(y + 1)*(y + 3)
Let t be (-40)/220 + 4857/924. Let p = t + 3/44. Solve -30/7*d**3 + 9/7*d**4 - 18/7*d + p*d**2 + 3/7 = 0 for d.
1/3, 1
Find o such that 28812 - 486*o**2 + 8583*o + 60*o**2 + 19641*o - 159*o**2 + o**3 + 2*o**3 = 0.
-1, 98
Let i(j) be the second derivative of 0 + 186*j + 17/24*j**3 + 3/16*j**5 + 3/80*j**6 - 5/16*j**2 - 17/24*j**4. Factor i(n).
(n - 1)*(n + 5)*(3*n - 1)**2/8
Let b(k) be the first derivative of -k**7/630 + 7*k**5/180 + k**4/12 - 125*k**2 + 300. Let q(c) be the second derivative of b(c). Let q(f) = 0. Calculate f.
-2, -1, 0, 3
Let g**2 - 1016*g - 14*g**2 + 0*g**2 - 77068 + 76912 = 0. What is g?
-78, -2/13
Suppose 292*g - 173 + 137 = 132*g + 148*g. Solve -1/11*h**g + 0 - 6/11*h - 2/11*h**4 + 13/11*h**2 = 0 for h.
-3, 0, 1/2, 2
Let t(h) = 19*h**2 - 125*h - 480. Let i(d) = 5*d**2 - 31*d - 120. Let s(q) = 11*i(q) - 3*t(q). Factor s(z).
-2*(z - 20)*(z + 3)
Let v be (-12)/(-3)*(-39)/(-312)*56/3. Solve -32/3*r**3 + 8/3*r**4 + v*r - 16/3 + 4/3*r**5 + 8/3*r**2 = 0 for r.
-4, -1, 1
Let p(q) be the second derivative of q**6/50 - 63*q**5/100 + 53*q**4/20 + 21*q**3/10 - 81*q**2/5 - 776*q - 1. What is f in p(f) = 0?
-1, 1, 3, 18
Let f(k) = -k**3 - 1199*k**2 + 39*k + 1104. Let n(u) = -300*u**2 + 10*u + 275. Let a(o) = -5*f(o) + 19*n(o). Let a(w) = 0. Calculate w.
-59, -1, 1
Factor -262/5 + 2/5*m**2 + 52*m.
2*(m - 1)*(m + 131)/5
Let l = 1499469 + -1499467. Factor 1/4*i**l - 3/4 + 1/2*i.
(i - 1)*(i + 3)/4
Suppose -3*l + 5994 = 5*w + 5958, l + w = 8. Let o(a) be the third derivative of 24*a**3 + 0*a - 14*a**2 + 0 + 1/15*a**5 - l*a**4. Find u, given that o(u) = 0.
6
Let k = 0 + 2. Suppose -5*r + 20 = 0, -2*z - r + 43 = 15. Suppose -4*s**3 + 0*s**2 - k*s**2 + 8*s - z*s - 6*s**2 = 0. What is s?
-1, 0
Let g = 1697 + -1687. Let w be (3 - (-12)/g) + -4. Factor 1/5*i**3 - w*i**2 - 3/5 - i.
(i - 3)*(i + 1)**2/5
Let j be (-108)/36*(-2 - (-28)/6). Let z be (5 - (-4)/j)*3/18. Factor z*q - 1/4*q**2 + 0.
-q*(q - 3)/4
Let n(v) = 3*v + 44. Let z be n(-7). Factor -24*f**2 + z*f - 4*