 - 140 = 0. Calculate c.
-5, -3, -1, 7
Let i(c) be the second derivative of -c**5/5 + 29*c**4/6 + 5*c**3 + 494*c. Factor i(n).
-2*n*(n - 15)*(2*n + 1)
Suppose 4*h + 24 = 4*f, -3*h = 2*f + 3*f - 6. Factor 22*z**f - 40*z**3 - z**4 + 4*z**2 + 9*z**4.
2*z**2*(z - 2)*(4*z - 1)
Let z be 10/(-14)*(-1)/25*45. Factor 15/7*d**2 - 3/7*d**3 - 3*d + z.
-3*(d - 3)*(d - 1)**2/7
Let c = -11135 + 4676701/420. Let n(r) be the third derivative of 0 + 0*r**5 + 0*r**3 + 0*r + 1/80*r**6 - c*r**7 - 1/12*r**4 + 10*r**2. What is f in n(f) = 0?
-1, 0, 2
Let v(w) be the third derivative of -121*w**6/720 - 1001*w**5/180 - 355*w**4/48 - 4*w**3 + 1816*w**2. Let v(d) = 0. What is d?
-16, -3/11
Let u(b) be the first derivative of 2*b**5/25 - 33*b**4/5 - 138*b**3/5 - 1022. Let u(h) = 0. What is h?
-3, 0, 69
Let z be (-9)/6*1*(-1908)/1197. Let g = -40/19 + z. Solve -50/7*b - 20/7*b**4 + g*b**5 + 0 + 20/7*b**2 + 48/7*b**3 = 0 for b.
-1, 0, 1, 5
Let c be (-19)/(2736/972)*(-3)/18. Let 0 - 3/8*t + 27/8*t**3 + 15/8*t**4 + c*t**2 = 0. Calculate t.
-1, 0, 1/5
Let x(i) be the second derivative of 17*i**6/10 - 513*i**5/10 + 1349*i**4/4 + 1980*i**3 - 726*i**2 - 9*i - 74. Suppose x(p) = 0. Calculate p.
-2, 2/17, 11
Find u, given that 24 + 7/3*u**3 - 22/3*u**2 - 28/3*u + 1/3*u**4 = 0.
-9, -2, 2
Let m(k) = 4*k**5 + 72*k**4 + 168*k**3 + 8*k**2 - 148*k - 72. Let q(b) = -b**5 - b**4 - 3*b**3 + b. Let p(w) = m(w) + 8*q(w). Factor p(a).
-4*(a - 18)*(a - 1)*(a + 1)**3
Let h(j) = -j**3 + 44*j**2 - 223*j - 150. Let s be h(38). Let l(x) be the second derivative of -1/3*x**3 + s*x + 0 + 0*x**2 + 1/12*x**4. What is b in l(b) = 0?
0, 2
Let b(d) = -37*d**2 - 3812*d + 3729. Let s(a) = -22*a**2 - 2287*a + 2239. Let x(g) = 7*b(g) - 12*s(g). Factor x(m).
5*(m - 1)*(m + 153)
Factor -1/4*k**3 + 0 + 49/4*k - 12*k**2.
-k*(k - 1)*(k + 49)/4
Let k be (1 - 6/8)*0. Suppose 5*f - 19 = -2*i, -5*f = -i - k*i - 13. Factor -20*q**4 + 34*q**4 + 4*q**f - 22*q**4 + 4*q**5 + 0*q**3.
4*q**3*(q - 1)**2
Let x(u) = -3*u**3 + 24*u**2 - 52*u + 21. Let i(r) = -3*r**3 + 24*r**2 - 53*r + 24. Let n(w) = 5*i(w) - 4*x(w). Suppose n(k) = 0. What is k?
1, 3, 4
Let r(h) be the first derivative of 0*h - 20/3*h**3 - 8*h**2 - 25/16*h**4 + 7. Determine m, given that r(m) = 0.
-8/5, 0
Let b(t) be the third derivative of -t**6/480 - 13*t**5/120 - 125*t**4/96 - 25*t**3/6 + 3*t**2 - 1332*t. Factor b(w).
-(w + 1)*(w + 5)*(w + 20)/4
Let m(q) be the second derivative of -q**4/36 - 715*q**3/9 - 511225*q**2/6 - 5196*q. Suppose m(w) = 0. What is w?
-715
Suppose 0 = i - 5*k + 10, -4*k + 0 = -5*i + 13. Factor 37*x**2 + 5*x**5 + 2 + 42*x**4 + 19*x**3 + 13*x + 5*x**5 + 49*x**3 + 15*x**2 + i*x.
2*(x + 1)**4*(5*x + 1)
Let f = 417 + -344. Suppose 143 = f*n - 3. Solve -1/6*s**n + 1/3*s - 1/6 = 0.
1
Let i = -86964 + 173937/2. Factor -12*q + i*q**2 - 9/2.
3*(q - 3)*(3*q + 1)/2
Let b be (0 - 1)*6 - -1. Let c(a) = -10*a**2 - 220*a - 190. Let x(h) = -5*h**2 - 110*h - 97. Let q(n) = b*x(n) + 2*c(n). Solve q(k) = 0 for k.
-21, -1
Factor -153/2*m**2 + 39*m**3 - 1/2*m**4 + 0 + 38*m.
-m*(m - 76)*(m - 1)**2/2
Suppose 21*c = 4*c + 51. Factor 7*p**4 + 48*p**3 - 26*p - 37*p + 272*p**2 - 144 - 132*p**2 - c*p**4 + 15*p.
4*(p - 1)*(p + 1)*(p + 6)**2
Let d be ((-2)/(-1))/(4/6). Let b be (208/72 - 7808/2304)*0/(-2). Solve 90/11*r**d - 24/11*r**2 + b - 18/11*r = 0 for r.
-1/3, 0, 3/5
Solve -531/4*l**4 + 0 + 11616*l + 3/8*l**5 - 23364*l**2 + 95043/8*l**3 = 0.
0, 1, 176
Let m(w) be the second derivative of -3*w**5/40 - 11*w**4/8 + 105*w**3/2 + 5235*w. Factor m(g).
-3*g*(g - 10)*(g + 21)/2
Let j(f) be the second derivative of 2*f**6/105 + 5*f**5/7 + 68*f**4/21 + 88*f**3/21 + 2441*f. Find v such that j(v) = 0.
-22, -2, -1, 0
Let d(i) = -4*i**3 - 13*i**2 + 10*i + 6. Let n be d(-4). Let k be ((-6)/n)/(6/63*-15). Let -1/10*f**4 - 1/2*f**3 + 0 + 9/10*f - k*f**2 = 0. What is f?
-3, 0, 1
Suppose 0 = -7*g + 3 + 18. Suppose -5*o - 4*h = -g*h - 10, 0 = -o - h + 2. Find t, given that 8*t**4 - 12*t**2 + 14*t**o - 6*t**4 + 2*t**3 + 2*t**3 = 0.
-1, 0
Factor -115/3*f**2 - 196 - 868/3*f - 4/3*f**3.
-(f + 14)**2*(4*f + 3)/3
Let c(t) be the second derivative of -13/12*t**4 - 18*t**2 - 20/3*t**3 - 1/20*t**5 + 0 + 53*t. Factor c(m).
-(m + 2)**2*(m + 9)
Let x(s) be the first derivative of 89*s**4/12 - 266*s**3/9 + 175*s**2/6 + 2*s/3 - 1033. Factor x(u).
(u - 2)*(u - 1)*(89*u + 1)/3
Let c(d) = 17*d**2 - 3*d + 3. Let r be c(-2). Let b be 1 + r/(-44) - (-10)/8. Suppose -1/2*h - b*h**2 + 0 = 0. What is h?
-1, 0
Let s(l) = -3610*l**2 - 4985*l - 1645. Let v(n) = 1805*n**2 + 2491*n + 824. Let f(m) = -7*s(m) - 15*v(m). Determine t so that f(t) = 0.
-13/19
Let b be ((-1944)/168)/(-27) + ((-80)/56 - -3). Determine o, given that 18*o**3 + 54*o**b + 0*o + 0 + 3/2*o**4 = 0.
-6, 0
Factor -2/9*j**2 - 16/3 - 22/9*j.
-2*(j + 3)*(j + 8)/9
Let u(x) = -x**3 + 3*x**2 - x - 6. Let k be u(-4). Let j = k - 106. Suppose -z**3 - 3*z**j - 20*z + 5*z - 20*z**3 - 33*z**2 = 0. What is z?
-5, -1, 0
Solve 0*h + 4257/4*h**4 - 1512297/4*h**3 - 3/4*h**5 + 0 + 1508043/4*h**2 = 0 for h.
0, 1, 709
Factor 5*h**4 + 82 - 82 - 957*h**3 + 229441*h - 2*h**4 - 4*h**4 - 228483*h**2.
-h*(h - 1)*(h + 479)**2
Let p be (72/(-80))/((-18)/(-15)) + 232/224. Let v(u) be the second derivative of -p*u**2 + 2/21*u**4 + 0 - 15*u - 1/3*u**3. Factor v(g).
2*(g - 2)*(4*g + 1)/7
Let a(z) = 11*z**2 + 301*z + 210. Let r(w) = -31*w**2 - 904*w - 628. Let h(l) = -11*a(l) - 4*r(l). Factor h(m).
(m + 101)*(3*m + 2)
Let p(t) be the first derivative of -t**5/32 + 7*t**4/64 + 27*t**2 - 268. Let o(h) be the second derivative of p(h). Suppose o(r) = 0. Calculate r.
0, 7/5
Let y be (2/15)/(1/15). Let a(x) be the first derivative of -28/55*x**5 - 24 + 0*x + 0*x**3 + 0*x**y - 1/33*x**6 - 49/22*x**4. Solve a(v) = 0.
-7, 0
What is v in -2/5*v**2 + 94/5*v + 96/5 = 0?
-1, 48
Suppose 3*w + 477 - 523 = -5*u, -w + 50 = 6*u. Factor 1/2*f**w + 225/2 + 15*f.
(f + 15)**2/2
Let y(f) = 76*f**2 + 791*f + 7. Let c(o) = 11*o**2 + 3*o + 1. Let g(r) = 21*c(r) - 3*y(r). Solve g(s) = 0.
0, 770
Let t(q) be the first derivative of q**3/6 - 71*q**2/2 - 144*q + 1708. Solve t(x) = 0 for x.
-2, 144
Let g(o) be the first derivative of 3/2*o**2 + 4*o + 17/4*o**4 - 3/5*o**5 + 114 - 7*o**3. Suppose g(w) = 0. Calculate w.
-1/3, 1, 4
Let f(g) be the second derivative of -31*g**6/9 + 12*g**5/5 - 2*g**4/9 - 163*g. Let f(i) = 0. Calculate i.
0, 2/31, 2/5
Let l(u) be the first derivative of 5*u**3/3 + 85*u**2 + 1445*u + 2307. Let l(c) = 0. What is c?
-17
Let o(x) be the second derivative of 1/84*x**7 + 0 + 1/4*x**4 - 43*x + 0*x**2 - 1/5*x**5 - 1/10*x**6 + 7/12*x**3. Determine l, given that o(l) = 0.
-1, 0, 1, 7
Let d(q) be the third derivative of 2/165*q**5 + 191*q**2 + 0*q**4 + 0 + 17/1155*q**7 + 0*q**3 + 0*q + 5/1848*q**8 + 4/165*q**6. Solve d(m) = 0 for m.
-2, -1, -2/5, 0
Let j(p) be the first derivative of p**4/48 + 53*p**3/24 - 27*p**2/4 + 3*p + 159. Let m(i) be the first derivative of j(i). Factor m(n).
(n - 1)*(n + 54)/4
Suppose 0 - 544/7*s**3 - 36/7*s**2 + 204/7*s**4 + 360/7*s + 16/7*s**5 = 0. Calculate s.
-15, -3/4, 0, 1, 2
Let d(a) = a**3 - 5*a**2 - 16*a - 2. Let m(h) = h - h**3 - 3 + 2 - 9*h**2 + 8*h**2. Let v(s) = -d(s) + 2*m(s). Factor v(w).
-3*w*(w - 3)*(w + 2)
Suppose 0 = 3*m + 56*s - 58*s + 4, 5*m = 4*s - 10. Let h = 192 + -84. Factor 3*f**5 + 111*f**2 + h*f - 291*f**m + 30*f**4 - 23*f**3 + 62*f**3.
3*f*(f - 1)**2*(f + 6)**2
Let c(n) = 201*n - 12459. Let x be c(62). Let -81/5 + 2/5*u**4 - 7*u**x + 143/5*u**2 + 99/5*u = 0. Calculate u.
-1, 1/2, 9
Let z be -1*30/135 + (247/18 - 2). Factor 7 + z*p + 3/2*p**2.
(p + 7)*(3*p + 2)/2
Let o be (-2)/(-11) + (-217)/(-77). Suppose 2*a = -4, 4*l = -2*a + 1 + o. Determine q so that 57*q**l + 6*q - 56*q**2 + 9 + 0*q = 0.
-3
Let o be 30/(((-16)/(-40))/((-4)/(-15))). Let k(u) = u + 1. Let f be k(2). Factor q**f - 15*q + 2 + 4*q**2 + o*q + 0*q**2.
(q + 1)**2*(q + 2)
Let h(u) be the third derivative of -u**5/240 - 155*u**4/4 - 144150*u**3 - 2*u**2 + 519*u + 2. Find d such that h(d) = 0.
-1860
Suppose -1/9*h**5 - 17/9*h**4 - 86/9*h - 8/3 - 23/3*h**3 - 115/9*h**2 = 0. Calculate h.
-12, -2, -1
Suppose 22 = h + 201*d - 205*d, h = -2*d - 8. Factor 1/3*w**h - 1/3*w**4 + 7/3*w + 0 - 7/3*w**3.
-w*(w - 1)*(w + 1)*(w + 7)/3
Let f be (-1617)/810 + (6 - 7)*-2. Let q(p) be 