 -3*i(f) - 8*k(f). Factor z(b).
4*b**2*(b - 4)*(19*b - 1)
Let c(b) be the first derivative of -b**4/4 + 5*b**3 - 27*b**2 - 950. Suppose c(r) = 0. What is r?
0, 6, 9
Let z(i) be the third derivative of 1/150*i**6 + 0*i + 7/60*i**4 - 2/15*i**3 + 5 - 1/840*i**8 - 11*i**2 - 4/75*i**5 + 2/525*i**7. Solve z(q) = 0 for q.
-2, 1
Let m = 1541458/5 - 308280. Factor m*g - 1/5 - 841/5*g**2.
-(29*g - 1)**2/5
Let k(v) be the third derivative of v**6/1620 + v**5/108 + v**4/27 + v**3/2 + 24*v**2. Let x(j) be the first derivative of k(j). Let x(i) = 0. What is i?
-4, -1
Let o(a) be the first derivative of -441*a - 15 + 11*a**3 - 3/4*a**4 - 21/2*a**2. Let o(y) = 0. What is y?
-3, 7
Let n(c) be the second derivative of 3*c**5/50 - 7*c**4/30 - 103*c**3/15 + 7*c**2 + 1206*c. Factor n(l).
2*(l - 7)*(l + 5)*(3*l - 1)/5
Factor 52/9*t + 50/9*t**2 + 4/3*t**3 + 0.
2*t*(t + 2)*(6*t + 13)/9
What is b in -9*b**3 - 262*b**2 - 435*b**2 - 11*b**3 - 1604610*b + 7551*b**2 + 4471*b**2 + 400445 = 0?
1/4, 283
Let j be 32/(-112) - (-3)/(-14)*-20. Determine v, given that 0*v**2 - 2*v + 4*v**3 - 14*v - 2*v**2 + 2*v**j - 6*v**2 = 0.
-2, 0, 2
Factor -112219/4*g**3 - 82834*g + 27556 - 1/4*g**5 + 332665/4*g**2 + 667/4*g**4.
-(g - 332)**2*(g - 1)**3/4
Suppose 0*v + 3*o + 23 = 2*v, 4*v + 4*o = 36. Factor 6*k**3 - 10 + v*k**2 + 15*k**2 + 25 + 35*k - k**3.
5*(k + 1)**2*(k + 3)
Let i(z) be the third derivative of z**10/7560 - z**9/945 - z**8/240 + z**7/63 + z**4/3 - z**2 - 75*z. Let l(k) be the second derivative of i(k). Factor l(f).
4*f**2*(f - 5)*(f - 1)*(f + 2)
Let d(s) be the second derivative of 3*s**5/100 - 7*s**4/20 - 2*s**3/5 + 42*s**2/5 - 1160*s. Factor d(y).
3*(y - 7)*(y - 2)*(y + 2)/5
Let x(d) = 6*d - 140. Let q be x(24). Solve 25/3*j**q - 60*j**3 + 185/3*j**2 + 0 - 10*j = 0.
0, 1/5, 1, 6
Suppose 117/5 - 36/5*h - 1/5*h**2 = 0. Calculate h.
-39, 3
Let a be (-3934)/(-10116) + 38/18. Factor 5 - 15/2*n + a*n**2.
5*(n - 2)*(n - 1)/2
Let d be ((-3)/((-126)/4))/(((-159330)/(-1017))/235). Let -d*l**2 + 24/7 + 5/7*l = 0. Calculate l.
-3, 8
Let z be ((-12154)/177)/103 + 8/3. Suppose -21/5*v + 9/5*v**z + 6/5 = 0. Calculate v.
1/3, 2
Let z = -2344 - -11729/5. Let q(b) be the second derivative of 4*b - 7/30*b**4 - z*b**2 + 0 + b**3 + 1/50*b**5. Solve q(w) = 0.
1, 3
Let o(b) be the third derivative of -b**6/30 + 8*b**5/5 - 34*b**4/3 - 160*b**3 - 2*b**2 - 14*b. Find z such that o(z) = 0.
-2, 6, 20
Let m(s) be the first derivative of s**3/15 + 586*s**2/5 + 343396*s/5 - 1300. Let m(t) = 0. Calculate t.
-586
Let m be 17 + -1 - (-669 + 683). Factor -3/7*u**5 - 3*u**m - 45/7*u**3 - 27/7*u**4 + 0 + 0*u.
-3*u**2*(u + 1)**2*(u + 7)/7
Factor 2/3*a**2 - 4*a + 6.
2*(a - 3)**2/3
Factor -572/5*h - 4/5*h**3 - 484/5 - 92/5*h**2.
-4*(h + 1)*(h + 11)**2/5
Let c be 16/(-64) + (-2)/(8/(-97)). Factor 3*a**4 - c + a**4 - 21*a**2 - 52*a - 7*a**2 + 18*a**3 - 14*a**3.
4*(a - 3)*(a + 1)**2*(a + 2)
Let m be (-4)/(-6) + 0 + (-878)/(-6). Let g be (-98)/m + (-2)/(-3). Factor -2/5*x**2 + 1/5*x**3 + g + 0*x.
x**2*(x - 2)/5
Suppose -8*x + 27 = -5*x. Suppose -4*r - 16 = 0, -u + 6*r = x*r + 10. Factor 1394*l - l**u - 3*l**3 - 3*l**4 - 1394*l - l**5.
-l**2*(l + 1)**3
Let f = 222 - 218. Factor -45*t**3 - 304*t**4 - 312*t**f + 613*t**4.
-3*t**3*(t + 15)
Factor -127*c**2 - 456*c + 2691*c + 6808 + 131*c**2 + 4577*c.
4*(c + 1)*(c + 1702)
Let s = 315 + -313. Factor -60 + 132*t - 3*t**2 - 5*t**3 + 8*t**s - 92*t.
-5*(t - 2)**2*(t + 3)
Suppose 71*x = 62*x + 126. Let j be x/21 - (-44)/33. Factor 0*s**4 - 4/3 + 2/3*s**5 + 2*s - 8/3*s**3 + 4/3*s**j.
2*(s - 1)**3*(s + 1)*(s + 2)/3
Let h(o) = -94*o**2 + 1140*o - 11. Let y(s) = 34*s**2 - 380*s + 4. Let k(q) = 4*h(q) + 11*y(q). Factor k(b).
-2*b*(b - 190)
Let d(m) be the third derivative of -7*m**5/12 - 6085*m**4/12 + 580*m**3 + m**2 - 394*m. Factor d(o).
-5*(o + 348)*(7*o - 2)
Let n = -1517/2 - -760. Let t(r) be the first derivative of 0*r + n*r**2 + 2*r**3 - 2 + 3/4*r**4. Find i such that t(i) = 0.
-1, 0
Let d(q) be the third derivative of -q**7/490 - 27*q**6/280 - 13*q**5/70 + q**2 - 615*q. Factor d(m).
-3*m**2*(m + 1)*(m + 26)/7
Let t be (2 + (-15)/12)/(45/120). Solve 76*k**3 + 4*k**5 - 82*k**4 + 50*k**4 - 35*k**2 - 13*k**t = 0 for k.
0, 1, 3, 4
Let x(h) be the second derivative of h**5/4 + 10*h**4/3 - 190*h**3/3 + 280*h**2 + 37*h + 7. Let x(b) = 0. What is b?
-14, 2, 4
Let t = -1082 - -1085. Suppose -17 + 5 = -5*i + j, -2*i + t*j + 10 = 0. Find h such that 4/17*h**5 + 2/17*h**i - 6/17*h**3 - 2/17*h**4 + 0 + 2/17*h = 0.
-1, -1/2, 0, 1
Let -453*p**2 + 107*p**2 + 213*p**2 + 5*p**3 + 223*p**2 + 225*p = 0. Calculate p.
-15, -3, 0
Let v(i) = -405*i**2 - 13*i + 14. Let y be v(1). Let a = -396 - y. Factor -190/3*o**2 + 128/3*o + 50/3*o**3 - a.
2*(o - 3)*(5*o - 2)**2/3
Suppose 2*b + 12 = 6*b. Suppose b*h - 10 - 2 = 0. Factor 5*m**5 - 10*m**h + 2*m**3 + 3*m**3 + 0*m**5.
5*m**3*(m - 1)**2
Suppose 0 = 79*c - 76*c + 5*j - 1455, 0 = -4*c + j + 1894. Let x be 196/10 + 2/5. Suppose 21*l**2 - 483 + c + 7*l**2 + x*l = 0. What is l?
-1, 2/7
Suppose -29*s = 2109 - 2196. Let t(i) be the second derivative of 8*i**2 - 1/10*i**5 - 26*i + 4/3*i**s + 0 - 1/3*i**4. Factor t(w).
-2*(w - 2)*(w + 2)**2
Let v(b) be the third derivative of b**5/30 - 7*b**4/4 + 18*b**3 + 969*b**2. Factor v(a).
2*(a - 18)*(a - 3)
Let o(n) = -2*n**2 + 18*n - 13. Let h be o(8). Factor -2310*l**2 - 26*l**h + 2334*l**2 - 66*l**3 - 16*l**4.
-4*l**2*(l + 6)*(4*l - 1)
Let r(h) be the third derivative of -29/2*h**4 - 1/12*h**8 + 6 + 52/105*h**7 - 12*h**3 - 3*h**2 - 16/3*h**5 + 11/15*h**6 + 0*h. Let r(m) = 0. Calculate m.
-1, -2/7, 3
Let x(p) be the third derivative of 7*p**7/135 - 1631*p**6/270 - 802*p**5/45 + 886*p**4/27 - 544*p**3/27 + 5*p**2 - 134. Suppose x(a) = 0. What is a?
-2, 2/7, 68
Let r be (-4)/(-30) - 2640/(-450). Let 4*p**4 + 13*p**2 + 15*p**4 - 3*p**4 - 26*p**3 - 9*p**4 + r*p = 0. Calculate p.
-2/7, 0, 1, 3
Let d(q) be the third derivative of -q**5/20 - 55*q**4/2 - 1075*q**3/2 + 138*q**2 - q - 3. Factor d(l).
-3*(l + 5)*(l + 215)
Solve -5/6*h**5 - 240 - 235/2*h**3 + 175/3*h**2 + 320*h - 20*h**4 = 0 for h.
-12, -2, 1
Let z = -77869/8 - -9734. Let 15/8*c**3 - 15/8*c + 9/8*c**2 - 3/2 + z*c**4 = 0. Calculate c.
-4, -1, 1
Suppose -5*l + 3*o = 2461, -2*l - 982 = -3*o + o. Let n be l/(-14) - 2/7. Solve -18*g**3 + n*g**3 - 27*g + 49 + 90*g - 16*g**3 + 15*g**2 = 0 for g.
-7, -1
Factor 6946*u + 4*u**2 - 12992*u + 59536 + 7022*u.
4*(u + 122)**2
Let p(d) = -5*d**3 + 15*d**2 - 4*d. Let g(i) = i. Suppose -5*l = -10, m - 4*l + 5 - 1 = 0. Let n(q) = m*g(q) + p(q). Let n(o) = 0. What is o?
0, 3
Suppose -3*d - 5*l + 21 + 153 = 0, -4*d + 206 = -2*l. Determine r so that -d*r**2 + 153*r**3 - 130 - 167*r**2 + 335*r - 138*r**3 = 0.
2/3, 1, 13
Suppose 0 = 4*t - 12*t + 16. Suppose -24 - 3*v**3 + 122*v**t - 3*v**4 + 11*v - 104*v**2 + 0 + v = 0. What is v?
-2, 1, 2
Let o(q) = 65*q**2 - 12307*q + 18960464. Let t(j) = 7*j**2 + j - 2. Let g(l) = -2*o(l) + 18*t(l). Factor g(f).
-4*(f - 3079)**2
Let c be 7*(4 - (-2390)/(-35)). Let s = c - -453. Factor 1/5*j**s + 2/5*j**2 - 1/5*j - 2/5.
(j - 1)*(j + 1)*(j + 2)/5
Let r be (24 - (-13052)/(-546))*56/24. Let -r*m + 10/9*m**5 + 20/9*m**2 - 8/9*m**3 - 16/9*m**4 - 4/9 = 0. What is m?
-1, -2/5, 1
Suppose 2*g - 2*t + 0*t - 2 = 0, 2*g - 5 = t. Suppose 88*z**2 + 72 - 75*z**g + 15*z**3 + 362*z**2 + 48*z**2 + 372*z = 0. What is z?
-2, -2/5, 3
Suppose 0 = -5*d + 81*i - 85*i + 27, 12 = 3*d + i. Find w such that -1 + w**2 - 1/2*w + 1/2*w**d = 0.
-2, -1, 1
Solve -1/3*u**3 - 27075 - 27265*u - 571/3*u**2 = 0.
-285, -1
Let p(q) = -q**3 + 41*q**2 - 440*q + 404. Let k(h) = -15*h - 168. Let o be k(-11). Let u(l) = 2. Let a(g) = o*p(g) + 6*u(g). Factor a(j).
3*(j - 20)**2*(j - 1)
Let i = -449959/60 - -7500. Let g = i - 1/60. Factor 4/9*b**2 + 10/9*b**3 + g*b**4 + 0*b + 0.
2*b**2*(b + 1)*(3*b + 2)/9
Let z(r) be the third derivative of r**5/180 + 13*r**4/18 - 430*r**2 - r + 2. Determine g so that z(g) = 0.
-52, 0
Let v = 13985/8 - 1748. Let c(w) be the second derivative of 1/8*w**3 + v*w**2 + 0 - 1/12*w**4 + 12*w. Factor c(t).
-(t - 1)*(4*t + 1)/4
Suppose 2*l + 2 = 3*s - 2*s, -s = -3*l - 1. Suppose 53 = 7*g + s. Factor -g*x - 9*x + 19*x**2 + 20*x**2 - 35*x**2.
4*x*(x - 4)
Factor -56*h**3 + 51*h**3 - 3575*h**2 + 361*h**4 - 240*h**3 - 366*h