0*t**3 + 1/2*t - 1/2*t**v + t**2 - t**4 + 0.
-t*(t - 1)*(t + 1)**3/2
Let h be (2*(-13)/(-52))/((-3)/36*-3). Let w(m) be the third derivative of 0*m + 0*m**3 - 3*m**h + 5/24*m**4 + 1/3*m**5 + 0. Factor w(i).
5*i*(4*i + 1)
Let u(h) be the first derivative of h**4/42 + 116*h**3/63 + 260*h**2/7 - 1200*h/7 - 542. Find x such that u(x) = 0.
-30, 2
Suppose 172 + 141 = 227*v - 141. Suppose -3 + 2 = -2*o + r, 0 = -5*o - 5*r + 40. Factor -14*n**o + 3/2*n + 1 - 27/2*n**v.
-(n + 1)*(4*n + 1)*(7*n - 2)/2
Suppose -192*n = -137*n. Let y(a) be the third derivative of 4*a**2 - 1/84*a**8 + n*a**4 - 4/105*a**7 + 0*a**3 + 0*a + 0 - 1/30*a**6 + 0*a**5. Factor y(d).
-4*d**3*(d + 1)**2
Let p(t) = 14*t**3 - 3025*t**2 + 12907*t - 9735. Let x(j) = -j**3 + 275*j**2 - 1173*j + 885. Let g(m) = 2*p(m) + 23*x(m). Factor g(a).
5*(a - 3)*(a - 1)*(a + 59)
Let k(g) be the third derivative of 0 - 121/60*g**5 - 75/2*g**3 + 50*g**2 + 0*g + 55/4*g**4. Let k(u) = 0. Calculate u.
15/11
Let d(p) be the first derivative of -p**5/20 - 14*p**4 - 1103*p**3/12 - 439*p**2/2 - 219*p - 4551. Suppose d(x) = 0. What is x?
-219, -2, -1
Let f(n) be the second derivative of -n**6/105 - n**5/35 + 4*n**4/21 + 6*n**3/7 + 9*n**2/7 + 5229*n. Find v, given that f(v) = 0.
-3, -1, 3
Let s be -1*((-2)/(-7) + 172/(-14)). Let l(z) be the first derivative of 13 + 19 + s*z**3 - 8*z - 11*z**3 - 4*z. Determine x so that l(x) = 0.
-2, 2
Let u be ((-315)/(-54))/(-35)*(25 - 29). Determine o so that 2/3*o**2 - 40/3 + u*o = 0.
-5, 4
Suppose -4*l = -4*s - 28, -3*l + 15 = 2*l + 5*s. Suppose 2*v - 2 = 4*c, -l*v + 4*v + 3 = -c. Factor -18/7*d - 12/7*d**c - 2/7*d**3 + 0.
-2*d*(d + 3)**2/7
Let y(j) be the second derivative of -j**10/166320 - j**9/20790 - j**8/12320 + 7*j**4/12 + j**2 + 38*j. Let c(z) be the third derivative of y(z). Factor c(o).
-2*o**3*(o + 1)*(o + 3)/11
Let i = -126/12541 + 728008/62705. Suppose 2/5*x**4 + 56/5*x**2 - i + 12*x**3 - 12*x = 0. What is x?
-29, -1, 1
Let m = 11 + -11. Suppose m*a = -a + 35. Determine k so that 3*k**3 + 11*k**2 + 15 - 8*k**3 - a*k - 19*k**2 + 33*k**2 = 0.
1, 3
Let n(o) be the second derivative of -o**5/4 + 700*o**4/3 - 5585*o**3/6 + 1395*o**2 - 4473*o. Factor n(l).
-5*(l - 558)*(l - 1)**2
Let r(z) be the third derivative of 0*z**3 + 361/30*z**4 + 1/150*z**6 - 35*z**2 - 38/75*z**5 + 0 + 0*z. Factor r(d).
4*d*(d - 19)**2/5
Let a(v) be the second derivative of v**9/15120 + v**8/1680 + v**7/1050 - 55*v**3/6 - 42*v + 1. Let z(w) be the second derivative of a(w). Factor z(i).
i**3*(i + 1)*(i + 4)/5
Factor 6/5*t - 359/5*t**2 + 0 + 119/5*t**3.
t*(t - 3)*(119*t - 2)/5
Suppose -467 + 1916 = -23*w. Let r be 35/(-125)*-5*(-36)/w. Factor 0 - 6/5*c**3 + r*c**2 + 0*c + 0*c**4 + 2/5*c**5.
2*c**2*(c - 1)**2*(c + 2)/5
Let i be 0 + 12 + (-888)/74. Let j be (-98)/(-8) - 1/4. Find d such that 0 + i + j*d - 27*d**2 + 8 + 7*d**2 = 0.
-2/5, 1
Let w(z) = -4*z**3 + 1942*z**2 + 3854*z + 1914. Let n(q) = -3*q**2 + q + 3. Let k(t) = 6*n(t) + w(t). Factor k(f).
-4*(f - 483)*(f + 1)**2
Let q(d) be the second derivative of -d**6/90 - 263*d**5/15 - 69169*d**4/6 - 36382894*d**3/9 - 4784350561*d**2/6 - 41*d + 11. Find f such that q(f) = 0.
-263
Let l be (348/(-12))/29 - ((-57)/9 + 4). Let o be 1/1 + 1/(-3). Factor 0 - 2*m**2 + 0*m - l*m**3 + o*m**4.
2*m**2*(m - 3)*(m + 1)/3
Let i(t) be the first derivative of -16 + 1/6*t**3 - 1/4*t**2 - 43*t - 1/24*t**4. Let b(c) be the first derivative of i(c). Factor b(k).
-(k - 1)**2/2
Let w(s) be the first derivative of -5/3*s**3 + 15*s + 49 + 5*s**2. Factor w(i).
-5*(i - 3)*(i + 1)
Let c(t) be the first derivative of t**5 + 5*t**4/4 - 115*t**3/3 + 195*t**2/2 - 90*t - 4489. Suppose c(p) = 0. Calculate p.
-6, 1, 3
Suppose -292 - 740 = -2*o - 2*r, -2*o + 1038 = -r. Let c be 148/o + 2/(-7). Determine b so that 15/7*b**4 - 75/7*b**5 + 12/7*b**2 + c*b + 48/7*b**3 + 0 = 0.
-2/5, 0, 1
Let o(w) be the third derivative of 9/16*w**4 + 1/224*w**8 + 7/40*w**6 + 203*w**2 + 0*w + 3/70*w**7 + 1/2*w**3 + 0 + 2/5*w**5. Solve o(m) = 0 for m.
-2, -1
Let o(t) be the second derivative of -73*t + 11/14*t**4 + 31/42*t**3 + 0 + 5/14*t**2 + 4/105*t**6 + 13/35*t**5. Factor o(g).
(g + 5)*(2*g + 1)**3/7
Let b(r) be the first derivative of r**7/70 - 3*r**6/20 + r**5/4 + 26*r**2 - 1. Let k(d) be the second derivative of b(d). Factor k(q).
3*q**2*(q - 5)*(q - 1)
Let i(c) be the second derivative of 3*c**5/100 + 919*c**4/20 + 211599*c**3/10 + 632043*c**2/10 + 50*c + 1. Factor i(y).
3*(y + 1)*(y + 459)**2/5
Factor -a**2 - a**3 - 436*a - 269*a - 4*a**3 - 249*a**2.
-5*a*(a + 3)*(a + 47)
Let n = 153504/142043 + 132/12913. What is g in 178/11*g**2 + 174/11*g + 36/11 - 74/11*g**3 - 38/11*g**4 + n*g**5 = 0?
-2, -1/2, -1/3, 3
Let b = 2/237975 + 1057666/79325. Factor -55/3*i**3 - 5/3*i**4 - 125/3*i - 45*i**2 - b.
-5*(i + 1)**3*(i + 8)/3
Let a = 271980 + -1087915/4. Suppose a*x**2 + 135/4 - 15*x = 0. Calculate x.
3, 9
Let z(q) = -28*q**3 - 178*q**2 - 630*q + 224. Let m(g) = -g**3 + g**2 + 2. Suppose 0 = -a + 3, -6*o = -3*o - 5*a - 69. Let u(i) = o*m(i) - 2*z(i). Factor u(x).
4*(x + 7)**2*(7*x - 2)
Let d(v) = v**2 + 1908*v + 11412. Let j be d(-6). Factor 2/3*p**3 - 1/3*p**2 + j + 0*p - 1/3*p**4.
-p**2*(p - 1)**2/3
Let n(x) be the third derivative of x**6/480 + x**5/480 - x**4/24 - 19*x**3/3 + 39*x**2. Let r(y) be the first derivative of n(y). Factor r(d).
(d - 1)*(3*d + 4)/4
Let y(w) be the first derivative of -w**6/9 - 26*w**5/15 - 16*w**4/3 - 40*w**3/9 + 109. Determine p, given that y(p) = 0.
-10, -2, -1, 0
Let g = 40384/50455 + -4/10091. Solve 0 - 1/5*p**4 - 4/5*p**2 - g*p**3 + 0*p = 0.
-2, 0
Let m be 63/(-28)*(-4890)/163. Factor -3/4*c**3 + 20250 - 2025*c + m*c**2.
-3*(c - 30)**3/4
Determine s, given that 0 - 146/5*s**2 + 136*s + 2/5*s**3 = 0.
0, 5, 68
Determine o, given that 190*o**2 - 50*o**2 + 10529*o**5 - 10530*o**5 + 67*o**4 + 208*o**3 = 0.
-2, -1, 0, 70
Suppose -4*i + 773*i - 3200 = -831*i. Let -15/2*l**3 - 25*l**i + 20*l + 0 = 0. Calculate l.
-4, 0, 2/3
Factor 8/9*t**5 + 2/9*t + 10/3*t**3 + 0 + 26/9*t**4 + 14/9*t**2.
2*t*(t + 1)**3*(4*t + 1)/9
Let h(o) be the second derivative of 66*o + 0 - 1/12*o**4 + 0*o**3 + 1/2*o**2. Factor h(x).
-(x - 1)*(x + 1)
Let v be (1990/110 - 18)/((-4)/(-5) + 12/(-40)). Factor -16/11*f**2 + 28/11 - 10/11*f - v*f**3.
-2*(f - 1)*(f + 2)*(f + 7)/11
Determine c so that 64 - 4/9*c**2 + 28/9*c = 0.
-9, 16
Suppose 9 + 59 = -4*x, 0 = 2*y + 5*x + 77. Factor 0*d**2 - 3/2*d**y + 0*d - 6*d**3 + 3/4*d**5 + 0.
3*d**3*(d - 4)*(d + 2)/4
Factor -278*z**4 - 580 + 580 - 5*z**5 + 14243*z**3 - 96163*z**3 - 1002*z**4.
-5*z**3*(z + 128)**2
Let a(v) = 2*v**3 - 92*v**2 - 184*v - 382. Let c be a(48). Let 9 - 3/7*y**3 + 3/7*y - 9*y**c = 0. What is y?
-21, -1, 1
Let j = -1853699/20 - -370855/4. Factor j*v - 4/5*v**2 - 1296/5.
-4*(v - 18)**2/5
Let a be (-306)/(-85) + 2322/(-645). Let 0 - 251*k**3 - 434*k**4 - 36*k**2 + a*k + 49/4*k**5 = 0. Calculate k.
-2/7, 0, 36
Factor 667*q**2 + 676 + 16*q**4 - 1118*q - 1/2*q**5 - 337/2*q**3.
-(q - 13)**2*(q - 2)**3/2
Factor 2/13*u**3 - 402/13*u + 32/13*u**2 - 432/13.
2*(u - 9)*(u + 1)*(u + 24)/13
Let r(x) be the first derivative of 5/4*x**4 - 20 + 10*x**3 + 30*x + 55/2*x**2. Suppose r(a) = 0. Calculate a.
-3, -2, -1
Let j(g) = -83*g**3 + 2538*g**2 - 20158*g - 510. Let o(a) = 251*a**3 - 7620*a**2 + 60473*a + 1529. Let d(l) = 7*j(l) + 2*o(l). Solve d(h) = 0 for h.
-2/79, 16
Suppose 1111 + 41011 = s. Solve 2*i**3 - s*i - 2*i**4 + 42122*i = 0.
0, 1
Let t be (-1 - -4)/(-3*1/(-314)). Solve -11 - 11 + 11 - 184*m + 80*m**4 - 32*m**5 - t*m**2 - 13 + 174*m**3 = 0 for m.
-2, -1/4, 2, 3
Suppose 4*j = 5*g - 7028, g - 4*j = 540 + 856. Let q = g - 9832/7. Factor 0 + 0*u**2 - q*u**4 + 4/7*u**5 + 0*u + 0*u**3.
4*u**4*(u - 6)/7
Let z(w) = w**2 - 4*w + 20. Let d be z(8). Factor 56 - d*o + 131*o**2 + 136*o**2 - 271*o**2.
-4*(o - 1)*(o + 14)
Let h(s) = 17*s**3 - s**2 - s. Let m(k) = -105*k**3 + 9*k**2 + 402*k. Let p(b) = -6*h(b) - m(b). Factor p(r).
3*r*(r - 12)*(r + 11)
Suppose 0 = -3*x, -3*t - 2*x = -7*x - 12195. Factor 6*a**4 + 7*a + t*a**3 + a - 4079*a**3.
2*a*(a - 2)*(a - 1)*(3*a + 2)
Let r(q) = -7*q + 2. Let y be r(0). Factor 2*v + 26 - 12 - 13 + v**y.
(v + 1)**2
Determine n so that 561 + 105/2*n**2 - 3957/2*n = 0.
2/7, 187/5
Let v(o) be the third derivative of -o**5/100 + 31*