**2 + 1050*j + 5306. Let q(l) = 12*p(l) + 7*v(l). Suppose q(a) = 0. What is a?
-7, 12
Let h = -40 - -48. Suppose 26 = h*j - 22. Suppose 6*z**3 + 7 + 2*z**4 - 11 + 2*z**2 + 3*z**3 - j*z - 3*z**3 = 0. Calculate z.
-2, -1, 1
Let n(y) = -2*y**3 + 12*y**2 + 2. Let q be n(6). Suppose q*r = 2*w + 4, -4 = 2*r - 5*w - 5. Factor 2*k**2 + 2/3*k**r - 16/3 - 4*k.
2*(k - 2)*(k + 1)*(k + 4)/3
Let s = 7318 + -7313. Let t(y) be the second derivative of 0*y**4 + 1/60*y**s + 13*y - 1/18*y**3 + 0*y**2 + 0. Find c, given that t(c) = 0.
-1, 0, 1
Let a(d) = -34*d**2 + 47*d - 323. Let c(i) = i**2 - i + 77. Let t(s) = -a(s) - 4*c(s). Suppose t(k) = 0. What is k?
3/5, 5/6
Factor 25*w**2 + 76*w**2 + 93*w**2 - 45 - 21*w**3 - 123*w - 293*w**2.
-3*(w + 1)*(w + 3)*(7*w + 5)
Let r(q) be the third derivative of -1/50*q**5 + 0*q - q**2 - 1/525*q**7 + 0*q**3 - 70 - 1/50*q**6 + 1/6*q**4. Factor r(g).
-2*g*(g - 1)*(g + 2)*(g + 5)/5
Solve 354 + 879/5*a - 3/5*a**2 = 0 for a.
-2, 295
Let j(o) = -o**3 + 12*o**2 + 16*o + 28. Let u be j(13). Let m = -65 + u. Find c, given that -26 + 8 + 2*c**3 + 6*c**m + 10 = 0.
-2, 1
Let b(v) be the first derivative of v**4 + 24*v**3 + 90*v**2 - 2154. Let b(l) = 0. What is l?
-15, -3, 0
Let j = 5480 + -5477. Let t(x) be the third derivative of 1/12*x**5 + 5/3*x**4 + 35/6*x**j + 36*x**2 + 0*x + 0. Factor t(i).
5*(i + 1)*(i + 7)
Let n = -4807 + 4810. Let d(t) be the first derivative of -1/2*t**n + 0*t + 3/4*t**4 + 15 - 3/4*t**2. Factor d(u).
3*u*(u - 1)*(2*u + 1)/2
Let q(n) = 2*n. Let u be q(1). Let x be ((-2520)/2940)/(3*(-4)/12). Factor -4/7*t**2 + u*t - x.
-2*(t - 3)*(2*t - 1)/7
Let v = -1218 + 1229. Suppose 5*f + 4*g = 0, -4*f - v*g = -7*g. Factor 0 - 2/5*q**4 + f*q - 12/5*q**3 - 2*q**2.
-2*q**2*(q + 1)*(q + 5)/5
Let a(s) = -4*s - 109. Let m be a(-28). Factor -10*j**2 + 17*j**3 + 12*j**3 - 32*j**3 + 18 - 2*j**2 - m*j + 0*j.
-3*(j - 1)*(j + 2)*(j + 3)
Let n be 4/14 - 430/35. Let k be n/(-30) + 13/5. Determine h so that 0*h**3 + 2*h**3 - 3*h**5 - 12 - k*h**2 - 24*h + 13*h**3 + 3*h**4 = 0.
-1, 2
Let k(p) = 92*p**2 + 3230*p + 1279970. Let l(v) = 3*v**2 + v - 1. Let s(o) = -2*k(o) + 60*l(o). Let s(t) = 0. Calculate t.
-800
Let h(y) be the first derivative of 6*y - 24*y**2 - 5 - 4*y**3 - 3/20*y**5 + 7/4*y**4. Let a(s) be the first derivative of h(s). Factor a(w).
-3*(w - 4)**2*(w + 1)
Let s(g) be the second derivative of -9/80*g**6 + 0 + 3/20*g**5 + 0*g**2 + 1/112*g**7 + 0*g**4 - 71*g + 0*g**3. Factor s(v).
3*v**3*(v - 8)*(v - 1)/8
Let w(t) be the second derivative of -t**6/240 + t**5/80 + 43*t**4/96 - 5*t**3/3 - 75*t**2/4 - 87*t - 7. Let w(c) = 0. What is c?
-6, -2, 5
Let p(f) be the second derivative of f**5/50 - 2*f**4/15 - 251*f**3/15 + 102*f**2 - 5*f - 185. Factor p(h).
2*(h - 17)*(h - 2)*(h + 15)/5
Let y(f) be the third derivative of 4*f**2 + 27/28*f**4 + 0 - 1/784*f**8 + 1/98*f**7 + 4*f + 0*f**3 + 3/280*f**6 - 9/28*f**5. Solve y(x) = 0.
-3, 0, 2, 3
Let t be 0/((-4)/(-46)*1656/(-144)). Let 3/7*q**3 + t + 0*q + 36/7*q**2 = 0. What is q?
-12, 0
Suppose 0 - 3*g - 1/2*g**2 + 1/2*g**3 = 0. Calculate g.
-2, 0, 3
Let j(t) = -31*t**3 + 1436*t**2 + 1458*t - 12. Let r(s) = -92*s**3 + 4308*s**2 + 4376*s - 32. Let x(f) = -8*j(f) + 3*r(f). Determine n, given that x(n) = 0.
-1, 0, 366/7
Let z be 790/510 - 14/(-119)*1. Suppose -1/3*f**4 + z - 2*f - 4/3*f**2 + 2*f**3 = 0. What is f?
-1, 1, 5
Let v(t) = -t**4 + 2*t**3 - t**2 + 4*t + 12. Let n(x) = -x - 3. Let k(o) = 20*n(o) + 5*v(o). Factor k(u).
-5*u**2*(u - 1)**2
Factor 4080*y - 4840 - 68*y**3 - 2*y**4 - 706 - 245*y**2 - 1654 - 93*y**2.
-2*(y - 3)**2*(y + 20)**2
Let 384*q + 14*q**2 - 129*q + 188*q + 337*q - 224 = 0. Calculate q.
-56, 2/7
Let b(t) = 24*t - 48. Let j be b(4). Factor -240*u + 76*u**2 - j*u**3 + 20*u**4 + 193*u**3 + 124*u**2.
5*u*(u + 4)**2*(4*u - 3)
Let o(t) be the third derivative of 7*t**4/6 - 2*t**3 - 29*t**2. Let l(h) = 2*h**2 + 85*h - 36. Let i(u) = -2*l(u) + 7*o(u). Factor i(k).
-2*(k - 6)*(2*k - 1)
Let -1636/5 - 2*y**3 - 490*y + 4096/5*y**2 = 0. What is y?
-2/5, 1, 409
Suppose -2*u + 20 = 4. Let n(y) = y**3 - 10*y**2 + 15*y + 10. Let r be n(u). What is q in q**r - 7*q + q + 0*q + 5 = 0?
1, 5
Let i be 4/(-48)*27672/(-1153). Factor -1/2*v**i - 3 + 5/2*v.
-(v - 3)*(v - 2)/2
Let u(y) = 24*y**2 - 20*y + 2. Let h = 79 - 82. Let n(i) = 48*i**2 - 40*i + 6. Let p(c) = h*n(c) + 7*u(c). Suppose p(w) = 0. What is w?
-1/6, 1
Let d(m) be the first derivative of 4/5*m**5 + 20*m**4 + 29 - 8*m**2 - 272*m + 68*m**3. Let d(g) = 0. Calculate g.
-17, -2, 1
Let o be 36 + 3105/(-90) - (-3)/(-4). Let o*b - 3/4*b**2 - 3/4*b**3 + 3/4 = 0. What is b?
-1, 1
Factor 0*x**4 + 4/3*x**5 - 4*x**3 + 0 - 8/3*x**2 + 0*x.
4*x**2*(x - 2)*(x + 1)**2/3
Find c such that 0*c**4 + 15*c**5 + 109*c - 20*c**4 - 127*c**3 + 80*c**2 - 60 + 66*c + 35*c**3 - 98*c**3 = 0.
-3, -1, 1/3, 1, 4
Suppose 0 = -5*v + 4*d + 91, -59 = -3*v - 16*d + 14*d. Let x be 1/(-2) - (-84)/8. Factor -z**2 - x*z**4 - 6*z**4 - 2 + v*z**4 + 5*z**3 - 5*z.
(z - 1)*(z + 1)**2*(3*z + 2)
Let w(a) be the second derivative of a**7/315 - 2*a**6/45 - 23*a**5/150 + 8*a**4/3 + 64*a**3/5 + 16*a - 13. Find h, given that w(h) = 0.
-3, 0, 8
Factor -9*j**3 - 177 - 39*j**2 + 47*j - 12 + 24*j**3 + 106*j - 12*j**3.
3*(j - 7)*(j - 3)**2
Let i(r) be the third derivative of r**6/180 + 247*r**5/90 + 485*r**4/12 + 241*r**3 + 12*r**2 + 114*r. Factor i(w).
2*(w + 3)**2*(w + 241)/3
Suppose -2606 = 5*v + 3*g, -3*g = -v - 7*g - 528. Let i = 520 + v. Suppose 1/4*l**2 - 1/4 + i*l = 0. What is l?
-1, 1
Let f(v) be the first derivative of -2/5*v**5 + 0*v - 16 - 5/2*v**4 - 4*v**3 + 0*v**2. Factor f(k).
-2*k**2*(k + 2)*(k + 3)
Let r(d) be the second derivative of d**5/20 + 7*d**4/6 - d**3/6 - 7*d**2 - 483*d. Factor r(g).
(g - 1)*(g + 1)*(g + 14)
Find q such that -66*q**4 + 299*q - 116*q - 324*q**3 - 332*q**2 + 145*q - 3*q**5 - q**5 + 398*q**4 = 0.
-1, 0, 1, 82
Let t(k) be the second derivative of -1/150*k**5 - 342*k - 784/5*k**3 + 0*k**2 + 0 - 28/15*k**4. Factor t(h).
-2*h*(h + 84)**2/15
Suppose -q - 59 = -4*w, 10 - 44 = -w + 3*q. Let a(r) be the first derivative of -4*r - w - 1/3*r**3 + 2*r**2. Find l such that a(l) = 0.
2
Suppose 0 = -3*c - 27 + 36. Suppose 3*a**5 - 36*a**4 - 6*a**3 + 9*a**4 - 27*a**4 - 33 + 108*a**2 + c*a - 21 = 0. What is a?
-1, 1, 18
Let h = -123033/4 + 30556. Let i = h - -203. Factor -i*p**3 + 3/4*p + 0 + 3/4*p**4 - 3/4*p**2.
3*p*(p - 1)**2*(p + 1)/4
Let x(p) be the second derivative of p**5/25 - 44*p**4/15 + 86*p**3/15 + 2*p - 466. Factor x(v).
4*v*(v - 43)*(v - 1)/5
Find h, given that 2/5*h**2 - 26/5*h + 0 + 26/5*h**3 - 2/5*h**4 = 0.
-1, 0, 1, 13
Let w(p) be the third derivative of -p**8/4200 - p**7/1400 - p**6/1800 + 10*p**3/3 + 41*p**2. Let r(b) be the first derivative of w(b). Let r(m) = 0. What is m?
-1, -1/2, 0
Let x(k) be the second derivative of 2/9*k**3 + 1/180*k**5 - 2/9*k**2 + 0 + 1/90*k**6 - 138*k - 1/378*k**7 - 11/108*k**4. Solve x(n) = 0 for n.
-2, 1, 2
Factor 158/3*r**2 - 300*r - 351 + 4/3*r**3 - 1/3*r**4.
-(r - 9)**2*(r + 1)*(r + 13)/3
Let t(n) = n**2 + 20*n + 21. Let w be t(-19). Factor -14*h**2 - 4*h**w - h**3 + 16*h**2 - h.
-h*(h + 1)**2
Let l(u) be the third derivative of 169*u**6/120 - 104*u**5/15 + 55*u**4/8 - 3*u**3 - 1970*u**2. Factor l(y).
(y - 2)*(13*y - 3)**2
Solve 312/11 + 6/11*l**3 - 456/11*l + 138/11*l**2 = 0 for l.
-26, 1, 2
Let f(p) be the second derivative of -1/3*p**3 + 0 + 25*p - 1/24*p**4 + 0*p**2. Suppose f(v) = 0. What is v?
-4, 0
Suppose -b**4 - 75*b**2 + 9*b**3 + 12*b + 40*b**2 + 15*b**2 = 0. What is b?
0, 1, 2, 6
Determine k so that -832/19*k**2 - 3584/19 - 2/19*k**5 + 3072/19*k + 18/19*k**4 + 32/19*k**3 = 0.
-7, 4
Let i(t) be the second derivative of -t**5/12 + 5*t**4/4 - 25*t**3/6 + 93*t**2/2 + 77*t. Let l(z) be the first derivative of i(z). Factor l(d).
-5*(d - 5)*(d - 1)
Let w = -287 - -290. Let z(l) = 7*l**4 - 6*l**3 + 6*l**2 - 7*l - 5. Let o(x) = -4*x**4 + 3*x**3 - 3*x**2 + 4*x + 3. Let b(g) = w*z(g) + 5*o(g). Factor b(y).
y*(y - 1)**3
Let q(j) = -2*j + 13. Let u(r) = -2*r + 13. Let h(z) = -7*q(z) + 6*u(z). Let p be h(8). Determine s so that 4 + 10 + 24*s**2 - 4*s**p - 48*s + 18 = 0.
2
Let q = 18 - 13. Let m(l) = -13*l**2 + 15*l. Let k(j) = 145*j**2 - 165*j. Let f(p) = 6*k(p) + 65*m(p). Let z(c) = c + 1. Let s(t) = q*z(t) - f(t). 