is t?
0, 1
Factor -38/5*q + 8 - 2/5*q**2.
-2*(q - 1)*(q + 20)/5
Determine t so that 7*t**2 - t**4 + 10*t - 12 + 1/2*t**5 - 9/2*t**3 = 0.
-2, 1, 2, 3
Factor -60*x + 2888 - 24*x**2 - 92*x - 17*x**2 + 43*x**2.
2*(x - 38)**2
Suppose 7*v = -24*v + 155. Let u(l) be the second derivative of 2*l + 1/3*l**4 - 4/3*l**3 + 0*l**2 + 0 + 1/5*l**v. Factor u(n).
4*n*(n - 1)*(n + 2)
Factor -10*p**3 + 0*p**2 + 0*p**2 - 4*p**4 + 2*p**2 + 12*p**3.
-2*p**2*(p - 1)*(2*p + 1)
Let y(l) be the third derivative of -l**9/10920 + l**8/2912 - l**7/2340 + l**6/4680 - l**4/2 + 2*l**2. Let h(r) be the second derivative of y(r). Factor h(c).
-2*c*(c - 1)*(3*c - 1)**2/13
What is d in 4*d**2 + 8*d**4 + 5*d**3 + 18*d**2 - 31*d**3 + 0*d**3 - 4*d = 0?
0, 1/4, 1, 2
Let t = 12 - 14. Let x = 7 + t. Factor -k**2 + 0*k**4 + 6*k**4 - 2*k**3 - k**2 - 4*k**4 + 2*k**x.
2*k**2*(k - 1)*(k + 1)**2
Let d = 41 + -40. Let x be -2 + 3 + (-6)/(d*-2). Let 0*w**2 - 3/4*w**3 + 0 + 3/4*w**x + 0*w = 0. What is w?
0, 1
Let h(j) = -j**3 - j**2. Let f(y) = 11*y**3 + 661*y**2 - 1325*y + 665. Let w(t) = f(t) + 6*h(t). Factor w(k).
5*(k - 1)**2*(k + 133)
Let v(m) be the third derivative of -16*m**2 - 1/45*m**6 + 1/15*m**5 - 2/315*m**7 + 0 + 2/9*m**4 - 8/9*m**3 + 0*m. Factor v(q).
-4*(q - 1)**2*(q + 2)**2/3
Let l = -1 + 29. Factor 32 - 79*r**3 - 2*r**5 + 21*r**3 + 22*r**4 - l*r**3 + 146*r**2 - 112*r.
-2*(r - 4)**2*(r - 1)**3
Let g(s) = -11*s**3 + 53*s**2 + 54*s + 41. Let d(a) = 4*a**3 - 18*a**2 - 18*a - 14. Let y(n) = -17*d(n) - 6*g(n). Factor y(p).
-2*(p + 1)**2*(p + 4)
Find g, given that -9/7*g**3 + 24/7*g**4 + 3/7*g**5 - 78/7*g**2 - 48/7*g + 0 = 0.
-8, -1, 0, 2
Let y(a) be the second derivative of 0 - 1/126*a**7 + 1/90*a**6 + 5*a + 1/10*a**5 + 1/18*a**4 - 5/18*a**3 - 1/2*a**2. Factor y(w).
-(w - 3)*(w - 1)*(w + 1)**3/3
Let d(l) = 2*l**2 + 6*l + 14. Let c be d(-9). Factor -30*b + 6*b**2 + c - 127 - 13*b**2 - 38*b**2.
-5*(3*b + 1)**2
Suppose -269*s - 329 = -770 - 366. Factor -1/8*b**s - 7/8*b - 3/8 - 5/8*b**2.
-(b + 1)**2*(b + 3)/8
Let v = 6/7907 - -31598/39535. Factor 2/15*a**2 + v*a + 2/3.
2*(a + 1)*(a + 5)/15
Let l(o) be the third derivative of -o**5/90 + o**4/36 - 13*o**2. Factor l(a).
-2*a*(a - 1)/3
Let v(b) be the third derivative of -b**6/360 + b**5/6 + b**4/72 - 5*b**3/3 - 77*b**2 + 3. Factor v(h).
-(h - 30)*(h - 1)*(h + 1)/3
Let i(y) be the third derivative of y**6/150 - 5*y**5/6 + 496*y**4/15 - 961*y**3/15 - 583*y**2. Suppose i(c) = 0. Calculate c.
1/2, 31
Suppose -106*g**4 - 52/3*g**3 + 40*g**2 - 16/3*g - 130/3*g**5 + 0 = 0. Calculate g.
-2, -1, 0, 2/13, 2/5
Let o = 1463/711 + 13/79. Let d = 136/45 - o. Factor d*z + 2/5*z**2 - 6/5.
2*(z - 1)*(z + 3)/5
Let m be -2 - ((-2)/(-6))/(-8*7/1092). Solve 0*k**2 - m*k**5 + 0 + 0*k + 6*k**3 - 6*k**4 = 0.
-2, 0, 2/3
Let a(p) be the second derivative of p**4/90 - 11*p**3/45 - 26*p**2/15 + 107*p - 1. Factor a(v).
2*(v - 13)*(v + 2)/15
Solve -98*f**2 + 33*f**2 + 32*f**2 + 31*f**2 - 6*f = 0.
-3, 0
Let c = 37/30 - 9421/7590. Let n = 755/506 - c. Factor -81/2 - n*q**3 - 27/2*q**2 - 81/2*q.
-3*(q + 3)**3/2
Let a = -56 + 74. Let z be 4/a*(-9)/(-6). Suppose 4/3*i**4 + 0 + 0*i - z*i**5 - 4/3*i**3 + 0*i**2 = 0. Calculate i.
0, 2
Let l(n) be the second derivative of n**6/315 - n**5/42 + n**4/21 - 303*n. Factor l(m).
2*m**2*(m - 3)*(m - 2)/21
Suppose -3 = c, -5*k + 2*c + 21 = -0*c. Factor -4*g**3 + 12 + k*g**3 - 7*g + 4*g**3 - 5*g - 3*g**2.
3*(g - 2)*(g - 1)*(g + 2)
Let m(j) be the second derivative of 0*j**3 - 19*j + 1/12*j**4 + 0 - 1/2*j**2. Factor m(f).
(f - 1)*(f + 1)
Let 968/9*h + 0 + 2/9*h**3 - 88/9*h**2 = 0. Calculate h.
0, 22
Suppose 5*p = -19*n + 23*n + 10, 5*n = 0. Let r be 12/(-14)*(-2)/6. Let 6/7*d - 4/7*d**p - r = 0. Calculate d.
1/2, 1
Let i = 208 + -192. Suppose i = -12*p + 20*p. Solve 4/3 + 49/3*g**3 - 8*g + 7*g**p = 0 for g.
-1, 2/7
Let d(y) be the third derivative of y**8/25200 + y**7/1575 - y**5/20 + 5*y**2. Let n(f) be the third derivative of d(f). Factor n(w).
4*w*(w + 4)/5
Find k, given that 9/7*k**3 + 1/7*k**4 + 9/7*k**2 - 150/7 - 85/7*k = 0.
-5, -2, 3
Factor 0 - 12/7*l**2 - 4/7*l**4 + 36/7*l - 20/7*l**3.
-4*l*(l - 1)*(l + 3)**2/7
Let m(c) be the second derivative of -c**5/4 - 15*c**4/2 + 95*c**3/6 + 4*c + 9. Solve m(h) = 0.
-19, 0, 1
Let z be (651/(-28))/3 - (-2)/(-8). Let j be (-12)/(-14)*36/z + 4. What is l in 0 - j*l**4 - 2/7*l**3 - 1/7*l**2 + 0*l = 0?
-1, 0
Let v(i) be the second derivative of 0*i**2 + 1/6*i**4 + 5/3*i**3 - 1/15*i**6 + 0 - 1/2*i**5 - 41*i. What is s in v(s) = 0?
-5, -1, 0, 1
Let -4/3*i**3 + 8/3 + 4/3*i - 8/3*i**2 = 0. What is i?
-2, -1, 1
Determine c, given that -2 + 17/4*c**4 - 9/4*c**2 - 25/4*c + 25/4*c**3 = 0.
-1, -8/17, 1
Factor -279*u**2 + 119*u**2 - 72*u**4 + 64*u - 252*u**3 + 720*u**4.
4*u*(2*u + 1)*(9*u - 4)**2
Factor 4 + 12/5*k + 1/5*k**2.
(k + 2)*(k + 10)/5
Suppose 0 = i + 5*q - 27, -68*i - q + 13 = -64*i. Let -2*u + 1/2*u**2 + i = 0. What is u?
2
Let o(x) be the second derivative of -x**4/114 - 7*x**3/57 - 6*x**2/19 + x + 69. Factor o(w).
-2*(w + 1)*(w + 6)/19
Let b = 592 + -592. Let m(t) be the first derivative of 0*t - 3/35*t**5 - 3/14*t**4 + 0*t**3 + 4 + b*t**2. Solve m(k) = 0 for k.
-2, 0
Let g(k) = 0*k**4 + 3*k**2 + 4*k**2 - 6*k**2 - k**4. Let s(m) = 138*m**4 - 540*m**3 + 717*m**2 - 320*m. Let r(l) = -3*g(l) - s(l). Factor r(t).
-5*t*(3*t - 4)**3
Let o(p) be the first derivative of 7*p**6/720 - p**5/30 + p**4/48 + 5*p**3/3 - 1. Let q(g) be the third derivative of o(g). Factor q(n).
(n - 1)*(7*n - 1)/2
Factor -4 + 1020*z**2 + 139 + 70 - 4*z**4 - 332*z**3 - 1028*z + 139.
-4*(z - 1)**3*(z + 86)
Let b = 82 - 76. Factor 19*d**3 - b*d**2 - 11*d**3 + 4*d - 6*d**3.
2*d*(d - 2)*(d - 1)
Let d(g) be the second derivative of 1/100*g**5 - 1/30*g**3 + 0 + 1/10*g**2 - 1/60*g**4 + 6*g. Factor d(b).
(b - 1)**2*(b + 1)/5
Let p = -11823/1028 - -1/1028. Let d = p - -12. Solve 0*o**2 + 3/2*o**3 - d*o**4 + 0*o + 0 = 0 for o.
0, 3
Solve 126*u**2 - 5*u**2 - 40*u**3 + 31*u**2 + 42*u**3 + 156 - 310*u = 0.
-78, 1
Factor 492*t**2 - 108*t**3 + 80/3 + 704/3*t.
-4*(t - 5)*(9*t + 2)**2/3
Let l(g) be the second derivative of -169*g**5/20 + 247*g**4/6 - 58*g**3 + 36*g**2 + 201*g. Suppose l(r) = 0. Calculate r.
6/13, 2
Let -l**3 + 737 - 737 + l = 0. Calculate l.
-1, 0, 1
Let s(v) be the third derivative of -v**5/30 + 13*v**4/6 + 29*v**2. Factor s(i).
-2*i*(i - 26)
Factor -540/7*o**2 - 192/7*o - 16/7.
-4*(9*o + 2)*(15*o + 2)/7
Let b(s) be the first derivative of 30 - 6*s + 39/2*s**2 - 11*s**3. Determine v so that b(v) = 0.
2/11, 1
Let z(u) be the third derivative of -u**5/12 - 35*u**4/24 + 25*u**3 + 5*u**2. Determine c, given that z(c) = 0.
-10, 3
Let i(q) be the third derivative of -q**6/660 + 8*q**5/165 + 17*q**4/132 + 173*q**2. Suppose i(w) = 0. Calculate w.
-1, 0, 17
Let w(m) be the second derivative of -m**6/48 - 27*m**5/160 - 25*m**4/48 - 3*m**3/4 - m**2/2 - 49*m. Find r, given that w(r) = 0.
-2, -1, -2/5
Let y(z) = 6*z + 95. Let x be y(-15). Suppose -4*i = 5*b + 20, -b - i + x*i + 20 = 0. What is v in b + 6/5*v - 3/5*v**2 = 0?
0, 2
Let p(s) be the third derivative of -7*s**6/120 + s**5/10 + 5*s**4/8 + s**3/3 - 35*s**2. Solve p(m) = 0.
-1, -1/7, 2
Let v(f) be the third derivative of -1/24*f**4 + 1/180*f**5 + 0*f + 0 + 32*f**2 + 1/9*f**3. Suppose v(x) = 0. What is x?
1, 2
Let y(b) be the third derivative of -b**8/2352 - 3*b**7/490 - 4*b**6/105 - 2*b**5/15 - 2*b**4/7 - 8*b**3/21 - b**2 - 6. Find f, given that y(f) = 0.
-2, -1
Let d(a) = -5*a**2 - 134*a + 30. Let o be d(-27). Factor -8/5*p + 0 - 4/5*p**2 + 4/5*p**o.
4*p*(p - 2)*(p + 1)/5
Let u(g) = -2*g**3 - 185*g**2 - 86*g + 552. Let n be u(-92). Let -4/7*h**2 + 0*h + 4/7*h**4 + n + 0*h**3 = 0. What is h?
-1, 0, 1
Let q(t) be the third derivative of t**6/360 + 13*t**5/90 + 169*t**4/72 - 58*t**2. Factor q(j).
j*(j + 13)**2/3
Let l(i) be the first derivative of i**8/5880 - i**6/1260 - 5*i**3/3 + 3. Let t(j) be the third derivative of l(j). Let t(c) = 0. Calculate c.
-1, 0, 1
Let d(y) = y**2 - 5*y - 4. Let a be d(5). Let j be -8*(a/(-8) + -1). Factor 3*m**2 - m**j - 2 - 2*m**2 + 2.
-m**2*(m - 1)*(m + 1)
Determine g, given that -8*g**2 + 3*g + 0*g + 5*g**2 - 3*g**3 + 3*g**4 = 0.
-1, 0, 1
Factor 45*q**3 - 31*q**4 + 28*q**4 - 39*q**3.
-3*q**3*(q - 2)
Let q(h) be the first derivative of 7*h**4 -