2400*f**3/33 + f**2 - 3*f - 695. What is q in c(q) = 0?
-1, 680
Let f = -302 - -411. Factor -142*h**2 + 5*h**4 + 663*h + 1052*h**2 + f*h - 145*h**3 + 353*h + 65*h**2.
5*h*(h - 15)**2*(h + 1)
Let g = -807 - -807. Let u(r) be the second derivative of 12*r**2 + 10*r - 2/3*r**3 + g - 1/3*r**4. Let u(q) = 0. Calculate q.
-3, 2
Suppose -5*t + 3*n + 1 = 0, 5*n - n - 8 = 2*t. Let g(j) = -20*j - 377. Let r be g(-19). Find v, given that -12*v**r + v**t - 4*v**2 + 2*v - 5*v**2 + 2*v = 0.
-1, 0, 1/3
Let h(k) be the third derivative of 0*k - 6*k**2 + 0*k**3 + 1/420*k**6 - 10 - 1/210*k**5 - 1/42*k**4. Solve h(b) = 0.
-1, 0, 2
Let p(y) be the second derivative of -3*y**5/20 - 1041*y**4/2 - 1083681*y**3/2 - 8539*y. Let p(k) = 0. Calculate k.
-1041, 0
Let r = 11615 + -11611. Factor 3/4*w**2 + 1/4*w**r - w - 1 + w**3.
(w - 1)*(w + 1)*(w + 2)**2/4
Let k = -1229 - -621. Let m = k + 4264/7. Find x, given that m - 60/7*x**3 - 22/7*x**2 + 24/7*x + 50/7*x**4 = 0.
-2/5, 1
Let r(b) be the third derivative of b**5/90 - 133*b**4/6 + 17689*b**3 - 48*b**2. Determine h, given that r(h) = 0.
399
Let i(m) be the second derivative of m**5/60 - m**4/2 + 35*m**3/6 - 15*m**2 - 59*m. Let w(l) be the first derivative of i(l). Factor w(f).
(f - 7)*(f - 5)
Let w(t) = 2*t**3 + 9*t**2 - 26*t - 21. Let q be w(-6). Let y be ((-27)/(-12))/(q/36). Factor 0 + 0*x**2 + 6/5*x**y + 3/5*x**4 + 0*x.
3*x**3*(x + 2)/5
Let o be ((-6)/(-3) - 0) + 26. Let c(t) = -41*t - 221. Let b be c(-6). Factor 59*r - b*r - o*r - 2*r**3 - 4.
-2*(r - 1)**2*(r + 2)
Suppose 299 + 102*m + 48*m**2 - 53 + 84*m**2 - 477*m - 3*m**3 = 0. What is m?
1, 2, 41
Let p(a) be the first derivative of 3*a**6/2 + 57*a**5/5 + 33*a**4/2 - 36*a**3 - 60*a**2 + 96*a - 3074. Determine z, given that p(z) = 0.
-4, -2, 2/3, 1
Let m be (136/28 - 5) + (-2)/(-14). Suppose 2*o + o - 12 = 0, 0 = -2*s + 4*o - 6. Factor m*r - 5*r - 441*r**2 + 441*r**2 + s*r**3.
5*r*(r - 1)*(r + 1)
Let v(i) be the first derivative of i**6/180 + i**5/5 + 5*i**3/3 - i - 39. Let a(h) be the third derivative of v(h). Determine q so that a(q) = 0.
-12, 0
Let s(w) = 6*w**2 - w + 3. Let z(u) = 161*u**2 - 14*u + 81. Let j(n) = -108*s(n) + 4*z(n). Factor j(g).
-4*g*(g - 13)
Let w(r) be the first derivative of -r**4/6 - 22*r**3/3 - 21*r**2 - 62*r/3 - 682. Find c such that w(c) = 0.
-31, -1
Let d(q) be the first derivative of 15*q**4/4 + 19*q**3 - 327*q**2/2 + 63*q - 1402. Factor d(t).
3*(t - 3)*(t + 7)*(5*t - 1)
Let d(l) be the second derivative of -l**5/5 - 34*l**4 - 66*l**3 + 404*l**2 - 1040*l. Factor d(g).
-4*(g - 1)*(g + 2)*(g + 101)
Determine y, given that -14*y**3 - 24*y**2 + 0*y + 18 + 36*y**3 - 19*y + 6*y**4 + 2*y - 5*y**5 = 0.
-9/5, -1, 1, 2
Let s(g) = -12*g**4 + 349*g**3 - 348*g**2 - 679*g - 10. Let a(u) = -5*u**4 + 174*u**3 - 173*u**2 - 340*u - 4. Let z(m) = 5*a(m) - 2*s(m). What is c in z(c) = 0?
-1, 0, 2, 171
Let z = -434639/5 + 86935. Factor z + 3/5*g**2 + 21/5*g.
3*(g + 3)*(g + 4)/5
Let c(p) = 15*p**3 - 3*p**2. Let m(g) = -g**4 - 15*g**3 + 2*g**2. Let l = 213 - 210. Let w(d) = l*m(d) + 2*c(d). Factor w(a).
-3*a**3*(a + 5)
Let -1/4*d**5 - 141/4*d**2 + 21/4*d**4 - 63/2*d + 0 + 7/4*d**3 = 0. What is d?
-2, -1, 0, 3, 21
Let k(y) be the second derivative of -2*y**6/35 - 321*y**5/140 - 269*y**4/28 - 59*y**3/7 + 72*y**2/7 - 3*y - 707. Find q, given that k(q) = 0.
-24, -2, -1, 1/4
Let c(m) be the first derivative of -m**3/3 + m**2/2 - 43. Let k(z) = 7*z**2 + 5. Let p(t) = 6*c(t) + k(t). Factor p(f).
(f + 1)*(f + 5)
Factor -2/7*j**3 + 9486/7*j**2 - 14997366/7*j + 7903611882/7.
-2*(j - 1581)**3/7
Suppose 51*c + 2*t + 4 = 53*c, -3*c + 6 = 4*t. Let s(o) be the first derivative of -1/4*o**4 - 4*o + 20 + 2*o**c + 1/3*o**3. Solve s(a) = 0 for a.
-2, 1, 2
Let q(h) = -3*h**2 + 213*h + 2162. Let d be q(80). Find a, given that -5/8*a + 3/4 - 1/8*a**d = 0.
-6, 1
Let h(j) be the first derivative of 105 + 968/7*j + 2/21*j**3 - 44/7*j**2. Factor h(a).
2*(a - 22)**2/7
Suppose 63*k + 1287 = 54*k. Let v be -5*(k/195 + 2/6). Factor 3*m + 0 - 3/4*m**v.
-3*m*(m - 4)/4
Let x(a) be the first derivative of 1/4*a**4 + 147/2*a**2 + 7*a**3 - 287 + 343*a. Find u such that x(u) = 0.
-7
Let z(v) be the third derivative of 5*v**5/28 + 80*v**4 + 14336*v**3 - 2*v**2 - 942. Find q, given that z(q) = 0.
-448/5
Let c(l) = -16*l**2 + 11*l**3 + 16 + 0 - 2 + 38*l - 10*l**3. Let p be c(13). Factor -1/3*u**2 - 7/6*u - p.
-(u + 2)*(2*u + 3)/6
Let c(l) be the third derivative of -l**5/180 - 125*l**4/72 + 86*l**3/3 + 340*l**2. Factor c(k).
-(k - 4)*(k + 129)/3
Let c(w) = -w**3 + 10*w**2 - 15*w + 36. Let z be c(9). Let u be (18/(-21))/(-1)*(-28)/z. Factor -1/3*f**2 + u*f - 4/3.
-(f - 2)**2/3
Let y = 3733 - 29863/8. Let f(d) be the third derivative of 1/3*d**3 + 0 + 1/60*d**5 + 0*d + 6*d**2 - y*d**4. Let f(z) = 0. Calculate z.
1, 2
Let k = 189 + -179. Suppose 8*c - 4*t + 2 = k*c, 5*c = t + 16. Determine x so that -4/7*x + 2/7*x**c + 0 + 2/7*x**2 = 0.
-2, 0, 1
Suppose -43*j + 42*j - 81 = 0. Let k = j + 86. Solve 32*l**3 - 5*l**2 + 15*l - 31*l**3 - k*l**2 + 10*l = 0 for l.
0, 5
Let u(i) = -i**3 - 435*i**2 + 428*i - 4. Let t(r) = -r**3 - 870*r**2 + 853*r - 9. Let p(v) = -4*t(v) + 9*u(v). Factor p(q).
-5*q*(q - 1)*(q + 88)
Let w(n) be the first derivative of n**3/15 + 4274*n**2/5 + 18267076*n/5 - 5505. Solve w(z) = 0.
-4274
Let m = -4701 + 9403/2. Let t(k) be the first derivative of m*k**2 - 1/4*k**4 - 1/5*k**5 - 19 + 1/3*k**3 + 0*k. Factor t(z).
-z*(z - 1)*(z + 1)**2
Suppose -2*v = 2*c - 6, -v + 2*c = c - 1. Suppose 3*n = v*n + 2. Factor -15*o**2 - 192 + 3*o**3 - 14*o**2 + 144*o - 7*o**n.
3*(o - 4)**3
Let b(c) be the first derivative of c**6/3 - 172*c**5/5 + 1200*c**4 - 14592*c**3 + 10043. Factor b(k).
2*k**2*(k - 38)*(k - 24)**2
Suppose 419*c - 316*c = 0. Suppose 2*m = 4*r - 4, 2*r - 2 + 0 = 5*m. Suppose 2/13*p**3 + c + m*p**2 + 6/13*p**4 + 0*p = 0. What is p?
-1/3, 0
Let k be 0/(((-13)/26)/(-7*1/(-14))). Factor -1/3*r + 1/9*r**3 - 2/9 + k*r**2.
(r - 2)*(r + 1)**2/9
Suppose 10*d - 7*d - 39 = 0. Let t = -7 + d. Find i, given that 9*i**3 + 92*i**4 - 3*i**2 + 0*i - 95*i**4 + t - 9*i = 0.
-1, 1, 2
Let r(b) = -b**3 + 5*b**2 - 2*b + 5. Let j be r(4). Suppose -430*t + 5*s = -429*t + 13, 2*s + 4 = 5*t. Factor 8*i - 3*i + 4 + 4*i**t - j*i.
4*(i - 1)**2
Let u(r) be the first derivative of -r**4/12 - 5*r**3/9 + 4*r**2 + 515. Determine k so that u(k) = 0.
-8, 0, 3
Let a be ((-31)/(-1209)*13)/(57/27 - 2). Factor 1/4*t**a + 1/2*t**2 + 1/4*t + 0.
t*(t + 1)**2/4
Suppose -16 = -4*b + 25*j - 18*j, 5*j = -2*b + 8. Let k(c) be the first derivative of -1/2*c + 3/8*c**2 - 1/16*c**b - 17 + 0*c**3. Factor k(f).
-(f - 1)**2*(f + 2)/4
Let r be ((-128)/(-45) + -2)/(43 + (-10)/(2100/8995)). Determine z so that -r*z - 2/15*z**2 + 32/3 = 0.
-40, 2
Suppose 8*k = 122*p - 120*p, -5*k - p + 18 = 0. Factor 12/13*l - 2/13*l**3 + 0 - 10/13*l**k.
-2*l*(l - 1)*(l + 6)/13
Let t(d) be the third derivative of d**7/14 - 23*d**6/40 - 6*d**5 + 59*d**4/2 + 56*d**3 + 1661*d**2. Suppose t(m) = 0. Calculate m.
-4, -2/5, 2, 7
Let k be 1596/(-27664)*(0 + (-16)/6). Find j such that -8/13*j**2 + 0 + 8/13*j**3 - 2/13*j**5 + k*j**4 + 0*j = 0.
-2, 0, 1, 2
Let d be (11 - 434/21 - -6)/(-11). Let a(h) be the second derivative of -d*h**4 + 0 - 1/5*h**5 + 2/3*h**3 + 0*h**2 - 5*h + 2/15*h**6. Let a(g) = 0. What is g?
-1, 0, 1
Let s(w) = 15*w + 12. Let n be s(4). Let -12*r - 55*r**2 + 2*r**3 + 13*r**2 + 26*r**2 + 2*r**3 + n = 0. What is r?
-2, 3
Suppose 1365*h + 1820 = 1375*h. Let a be 150/(-525) - (-108)/h. Factor -2/13*n**2 + 6/13 - a*n.
-2*(n - 1)*(n + 3)/13
Suppose 0 = d - 3*s + 13, 0*d - 5*d - 11 = 3*s. Let y be d/10 - 0 - 102/(-30). Factor -3*j**3 - 9*j**3 - 4*j**4 - 3*j**2 - 4*j**y - 9*j**2.
-4*j**2*(j + 1)*(j + 3)
Let m(q) be the third derivative of -26/15*q**3 + 1/150*q**6 + 0*q + 9/10*q**4 - 1/5*q**5 + 94*q**2 + 0. Factor m(p).
4*(p - 13)*(p - 1)**2/5
Factor -784 - 15*o**2 + 79*o**2 - 13*o**2 - 49*o**2 - 782*o.
2*(o - 392)*(o + 1)
Let g be 4/(5 - 3/((-23220)/(-38694))). Suppose -2*u**2 - 5284*u - 101 - 21 + g*u = 0. Calculate u.
-61, -1
Let j(u) be the first derivative of 0*u - 1/2*u**2 - 1/3*u**3 - 24 + 1/4*u**4 + 1/5*u**5. Factor j(b).
b*(b - 1)*(b + 1)**2
Let s(g) be the first derivative of -g**7/420 + g**6/60 + g**5/10 - 2*g**4/3 + 3*g**3 + g**2 + 62. Let t(a